netcdf dms_1x1.25 {
dimensions:
	lon = 288 ;
	ilon = 289 ;
	lat = 181 ;
	ilat = 182 ;
	time = UNLIMITED ; // (12 currently)
variables:
	double lon(lon) ;
		lon:long_name = "longitude at grid cell midpoints" ;
		lon:units = "degrees_east" ;
		lon:standard_name = "longitude" ;
	double ilon(ilon) ;
		ilon:long_name = "longitude at grid cell interfaces" ;
		ilon:units = "degrees_east" ;
		ilon:standard_name = "longitude" ;
	double lat(lat) ;
		lat:long_name = "latitude at grid cell midpoints" ;
		lat:units = "degrees_north" ;
		lat:standard_name = "latitude" ;
	double ilat(ilat) ;
		ilat:long_name = "latitude at grid cell interfaces" ;
		ilat:units = "degrees_north" ;
		ilat:standard_name = "latitude" ;
	float time(time) ;
		time:long_name = "time" ;
		time:units = "months since 1990-01-01 00:00:00" ;
		time:calendar = "none" ;
	float DMSO(time, lat, lon) ;
		DMSO:long_name = "DMS seawater concentration" ;
		DMSO:units = "nmol/dm3" ;

// global attributes:
		:RG_HISTORY = "NCREGRID VERSION 1.2b\n",
			"RG_DATE: 20060804\n",
			"RG_TIME: 140308.769-0400\n",
			"NAMELIST:\n",
			"----------------------------------\n",
			"infile  = \'dms_array2.dat_360x180.nc\',\n",
			"outfile = \'dms_288x181.nc\',\n",
			"grdfile = \'grdfile_288x181.nc\',\n",
			"i_latm  = \'lat\',\n",
			"i_lati  = \'ilat\',\n",
			"i_lonm  = \'lon\',\n",
			"i_loni  = \'ilon\',\n",
			"i_hyam  = \'\',\n",
			"i_hyai  = \'\',\n",
			"i_hybm  = \'\',\n",
			"i_hybi  = \'\',\n",
			"i_timei = \'\',\n",
			"i_timem = \'time\',\n",
			"i_ps    = \'\',\n",
			"i_p0    = \'\',\n",
			"g_latm  = \'lat\',\n",
			"g_lati  = \'ilat\',\n",
			"g_lonm  = \'lon\',\n",
			"g_loni  = \'ilon\',\n",
			"g_hyam  = \'\',\n",
			"g_hyai  = \'\',\n",
			"g_hybm  = \'\',\n",
			"g_hybi  = \'\',\n",
			"g_timei = \'\',\n",
			"g_timem = \'\',\n",
			"g_ps    = \'\',\n",
			"g_p0    = \'\',\n",
			"var     = \'DMSO:INT;\',\n",
			"i_t     =      1,      1,     12,      0,\n",
			"g_t     =      1,      1,      0,\n",
			"o_t     =      1,      1,      0,\n",
			"pressure= .FALSE.\n",
			"input_time= .TRUE.\n",
			"i_lonr  = -.9990E+03,-.9990E+03\n",
			"i_latr  = -.9990E+03,-.9990E+03\n",
			"i_hyar  = -.9990E+03,-.9990E+03\n",
			"i_hybr  = -.9990E+03,-.9990E+03\n",
			"g_lonr  = -.9990E+03,-.9990E+03\n",
			"g_latr  = -.9990E+03,-.9990E+03\n",
			"g_hyar  = -.9990E+03,-.9990E+03\n",
			"g_hybr  = -.9990E+03,-.9990E+03\n",
			"----------------------------------\n",
			"" ;
data:

 lon = -180, -178.75, -177.5, -176.25, -175, -173.75, -172.5, -171.25, -170, 
    -168.75, -167.5, -166.25, -165, -163.75, -162.5, -161.25, -160, -158.75, 
    -157.5, -156.25, -155, -153.75, -152.5, -151.25, -150, -148.75, -147.5, 
    -146.25, -145, -143.75, -142.5, -141.25, -140, -138.75, -137.5, -136.25, 
    -135, -133.75, -132.5, -131.25, -130, -128.75, -127.5, -126.25, -125, 
    -123.75, -122.5, -121.25, -120, -118.75, -117.5, -116.25, -115, -113.75, 
    -112.5, -111.25, -110, -108.75, -107.5, -106.25, -105, -103.75, -102.5, 
    -101.25, -100, -98.75, -97.5, -96.25, -95, -93.75, -92.5, -91.25, -90, 
    -88.75, -87.5, -86.25, -85, -83.75, -82.5, -81.25, -80, -78.75, -77.5, 
    -76.25, -75, -73.75, -72.5, -71.25, -70, -68.75, -67.5, -66.25, -65, 
    -63.75, -62.5, -61.25, -60, -58.75, -57.5, -56.25, -55, -53.75, -52.5, 
    -51.25, -50, -48.75, -47.5, -46.25, -45, -43.75, -42.5, -41.25, -40, 
    -38.75, -37.5, -36.25, -35, -33.75, -32.5, -31.25, -30, -28.75, -27.5, 
    -26.25, -25, -23.75, -22.5, -21.25, -20, -18.75, -17.5, -16.25, -15, 
    -13.75, -12.5, -11.25, -10, -8.75, -7.5, -6.25, -5, -3.75, -2.5, -1.25, 
    0, 1.25, 2.5, 3.75, 5, 6.25, 7.5, 8.75, 10, 11.25, 12.5, 13.75, 15, 
    16.25, 17.5, 18.75, 20, 21.25, 22.5, 23.75, 25, 26.25, 27.5, 28.75, 30, 
    31.25, 32.5, 33.75, 35, 36.25, 37.5, 38.75, 40, 41.25, 42.5, 43.75, 45, 
    46.25, 47.5, 48.75, 50, 51.25, 52.5, 53.75, 55, 56.25, 57.5, 58.75, 60, 
    61.25, 62.5, 63.75, 65, 66.25, 67.5, 68.75, 70, 71.25, 72.5, 73.75, 75, 
    76.25, 77.5, 78.75, 80, 81.25, 82.5, 83.75, 85, 86.25, 87.5, 88.75, 90, 
    91.25, 92.5, 93.75, 95, 96.25, 97.5, 98.75, 100, 101.25, 102.5, 103.75, 
    105, 106.25, 107.5, 108.75, 110, 111.25, 112.5, 113.75, 115, 116.25, 
    117.5, 118.75, 120, 121.25, 122.5, 123.75, 125, 126.25, 127.5, 128.75, 
    130, 131.25, 132.5, 133.75, 135, 136.25, 137.5, 138.75, 140, 141.25, 
    142.5, 143.75, 145, 146.25, 147.5, 148.75, 150, 151.25, 152.5, 153.75, 
    155, 156.25, 157.5, 158.75, 160, 161.25, 162.5, 163.75, 165, 166.25, 
    167.5, 168.75, 170, 171.25, 172.5, 173.75, 175, 176.25, 177.5, 178.75 ;

 ilon = -180.625, -179.375, -178.125, -176.875, -175.625, -174.375, -173.125, 
    -171.875, -170.625, -169.375, -168.125, -166.875, -165.625, -164.375, 
    -163.125, -161.875, -160.625, -159.375, -158.125, -156.875, -155.625, 
    -154.375, -153.125, -151.875, -150.625, -149.375, -148.125, -146.875, 
    -145.625, -144.375, -143.125, -141.875, -140.625, -139.375, -138.125, 
    -136.875, -135.625, -134.375, -133.125, -131.875, -130.625, -129.375, 
    -128.125, -126.875, -125.625, -124.375, -123.125, -121.875, -120.625, 
    -119.375, -118.125, -116.875, -115.625, -114.375, -113.125, -111.875, 
    -110.625, -109.375, -108.125, -106.875, -105.625, -104.375, -103.125, 
    -101.875, -100.625, -99.375, -98.125, -96.875, -95.625, -94.375, -93.125, 
    -91.875, -90.625, -89.375, -88.125, -86.875, -85.625, -84.375, -83.125, 
    -81.875, -80.625, -79.375, -78.125, -76.875, -75.625, -74.375, -73.125, 
    -71.875, -70.625, -69.375, -68.125, -66.875, -65.625, -64.375, -63.125, 
    -61.875, -60.625, -59.375, -58.125, -56.875, -55.625, -54.375, -53.125, 
    -51.875, -50.625, -49.375, -48.125, -46.875, -45.625, -44.375, -43.125, 
    -41.875, -40.625, -39.375, -38.125, -36.875, -35.625, -34.375, -33.125, 
    -31.875, -30.625, -29.375, -28.125, -26.875, -25.625, -24.375, -23.125, 
    -21.875, -20.625, -19.375, -18.125, -16.875, -15.625, -14.375, -13.125, 
    -11.875, -10.625, -9.375, -8.125, -6.875, -5.625, -4.375, -3.125, -1.875, 
    -0.625, 0.625, 1.875, 3.125, 4.375, 5.625, 6.875, 8.125, 9.375, 10.625, 
    11.875, 13.125, 14.375, 15.625, 16.875, 18.125, 19.375, 20.625, 21.875, 
    23.125, 24.375, 25.625, 26.875, 28.125, 29.375, 30.625, 31.875, 33.125, 
    34.375, 35.625, 36.875, 38.125, 39.375, 40.625, 41.875, 43.125, 44.375, 
    45.625, 46.875, 48.125, 49.375, 50.625, 51.875, 53.125, 54.375, 55.625, 
    56.875, 58.125, 59.375, 60.625, 61.875, 63.125, 64.375, 65.625, 66.875, 
    68.125, 69.375, 70.625, 71.875, 73.125, 74.375, 75.625, 76.875, 78.125, 
    79.375, 80.625, 81.875, 83.125, 84.375, 85.625, 86.875, 88.125, 89.375, 
    90.625, 91.875, 93.125, 94.375, 95.625, 96.875, 98.125, 99.375, 100.625, 
    101.875, 103.125, 104.375, 105.625, 106.875, 108.125, 109.375, 110.625, 
    111.875, 113.125, 114.375, 115.625, 116.875, 118.125, 119.375, 120.625, 
    121.875, 123.125, 124.375, 125.625, 126.875, 128.125, 129.375, 130.625, 
    131.875, 133.125, 134.375, 135.625, 136.875, 138.125, 139.375, 140.625, 
    141.875, 143.125, 144.375, 145.625, 146.875, 148.125, 149.375, 150.625, 
    151.875, 153.125, 154.375, 155.625, 156.875, 158.125, 159.375, 160.625, 
    161.875, 163.125, 164.375, 165.625, 166.875, 168.125, 169.375, 170.625, 
    171.875, 173.125, 174.375, 175.625, 176.875, 178.125, 179.375 ;

 lat = -89.75, -89, -88, -87, -86, -85, -84, -83, -82, -81, -80, -79, -78, 
    -77, -76, -75, -74, -73, -72, -71, -70, -69, -68, -67, -66, -65, -64, 
    -63, -62, -61, -60, -59, -58, -57, -56, -55, -54, -53, -52, -51, -50, 
    -49, -48, -47, -46, -45, -44, -43, -42, -41, -40, -39, -38, -37, -36, 
    -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, 
    -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, 
    -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 
    15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 
    33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 
    51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 
    69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 
    87, 88, 89, 89.75 ;

 ilat = -90, -89.5, -88.5, -87.5, -86.5, -85.5, -84.5, -83.5, -82.5, -81.5, 
    -80.5, -79.5, -78.5, -77.5, -76.5, -75.5, -74.5, -73.5, -72.5, -71.5, 
    -70.5, -69.5, -68.5, -67.5, -66.5, -65.5, -64.5, -63.5, -62.5, -61.5, 
    -60.5, -59.5, -58.5, -57.5, -56.5, -55.5, -54.5, -53.5, -52.5, -51.5, 
    -50.5, -49.5, -48.5, -47.5, -46.5, -45.5, -44.5, -43.5, -42.5, -41.5, 
    -40.5, -39.5, -38.5, -37.5, -36.5, -35.5, -34.5, -33.5, -32.5, -31.5, 
    -30.5, -29.5, -28.5, -27.5, -26.5, -25.5, -24.5, -23.5, -22.5, -21.5, 
    -20.5, -19.5, -18.5, -17.5, -16.5, -15.5, -14.5, -13.5, -12.5, -11.5, 
    -10.5, -9.5, -8.5, -7.5, -6.5, -5.5, -4.5, -3.5, -2.5, -1.5, -0.5, 0.5, 
    1.5, 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5, 10.5, 11.5, 12.5, 13.5, 
    14.5, 15.5, 16.5, 17.5, 18.5, 19.5, 20.5, 21.5, 22.5, 23.5, 24.5, 25.5, 
    26.5, 27.5, 28.5, 29.5, 30.5, 31.5, 32.5, 33.5, 34.5, 35.5, 36.5, 37.5, 
    38.5, 39.5, 40.5, 41.5, 42.5, 43.5, 44.5, 45.5, 46.5, 47.5, 48.5, 49.5, 
    50.5, 51.5, 52.5, 53.5, 54.5, 55.5, 56.5, 57.5, 58.5, 59.5, 60.5, 61.5, 
    62.5, 63.5, 64.5, 65.5, 66.5, 67.5, 68.5, 69.5, 70.5, 71.5, 72.5, 73.5, 
    74.5, 75.5, 76.5, 77.5, 78.5, 79.5, 80.5, 81.5, 82.5, 83.5, 84.5, 85.5, 
    86.5, 87.5, 88.5, 89.5, 90 ;

 time = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ;

 DMSO =
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    31.02858, 32.27842, 32.76715, 32.65948, 32.55753, 32.40676, 32.06149, 
    31.72219, 31.50252, 31.3616, 31.22381, 31.05454, 30.74952, 30.28886, 
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    23.5171, 22.91594, 22.42077, 22.00642, 21.72193, 21.56044, 21.4407, 
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    23.63399, 24.30679, 24.86584, 25.4174, 25.95294, 26.48147, 27.06816, 
    27.87025, 28.80313, 29.8015, 30.96003, 32.35961, 33.77855, 35.09532, 
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    30.40485, 27.76402, 24.60843, 21.06666, 17.99594, 10.46899, 7.538402, 0, 
    6.196641, 13.58906, 28.88753, 33.33078, 35.77431, 38.07442, 40.20665, 
    42.00149, 43.4752, 44.55441, 45.01585, 44.85698, 44.05011, 42.65223, 
    40.53484, 37.82203, 34.88939, 31.7011, 28.14544, 24.64795, 21.59538, 
    18.76175, 15.963, 13.45787, 11.47353, 9.809842, 8.425276, 7.411543, 
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    11.66504, 12.00375, 11.94722, 11.61228, 10.9934, 9.98203, 9.0783, 
    8.397488, 8.089609, 8.105142, 8.46773, 9.004879, 9.526816, 9.881376, 
    10.20798,
  5.909608, 5.987521, 6.115301, 6.335729, 6.606264, 7.092555, 7.982556, 
    9.341631, 11.38143, 13.43321, 15.5785, 17.9019, 20.01823, 22.04686, 
    23.95341, 25.46909, 26.28776, 26.51358, 26.77001, 26.97691, 26.97757, 
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    25.27379, 24.6345, 23.81828, 22.86717, 21.95052, 21.1196, 20.33047, 
    19.65702, 19.13856, 18.71559, 18.36605, 18.13078, 18.00933, 17.93686, 
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    21.94179, 20.21383, 18.39137, 16.58501, 15.38767, 14.89597, 15.33661, 
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    3.068353, 3.911797, 5.50572, 7.298008, 8.973836, 10.10294, 10.85769, 
    11.24675, 11.26488, 10.97635, 10.21877, 8.918936, 7.66398, 6.616203, 
    5.910229, 5.470316, 5.364417, 5.466196, 5.594784, 5.718768, 5.837002,
  4.124399, 4.16723, 4.2261, 4.379634, 4.587096, 4.989852, 5.765193, 
    6.936019, 8.668381, 10.41892, 12.24519, 14.19482, 15.97591, 17.73441, 
    19.41387, 20.74356, 21.51901, 21.81385, 22.14059, 22.42883, 22.55674, 
    22.60989, 22.60989, 22.59101, 22.48596, 22.30041, 21.99959, 21.58308, 
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    16.95321, 17.72335, 18.39837, 19.01917, 19.57457, 20.05974, 20.53465, 
    21.0554, 21.58626, 22.09709, 22.60029, 23.06929, 23.37132, 23.43604, 
    23.27026, 22.83575, 22.17489, 21.3307, 20.12289, 18.45495, 16.81923, 
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    33.00476, 36.67954, 38.51051, 40.08213, 41.32096, 42.00728, 41.99008, 
    41.35207, 40.01685, 38.00795, 35.60463, 32.83603, 29.57856, 26.23316, 
    23.20982, 20.30583, 17.30403, 14.51867, 12.24386, 10.29935, 8.592557, 
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    3.237943, 2.898518, 2.609303, 2.367707, 2.207692, 2.147793, 2.128331, 
    2.072496, 1.986532, 1.899948, 1.814608, 1.765653, 1.791328, 1.900116, 
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    5.559228, 6.121532, 6.706601, 7.447676, 8.426535, 9.611446, 10.98274, 
    12.45402, 13.74335, 14.69471, 15.49733, 16.08673, 16.41136, 16.2676, 
    15.56837, 14.25891, 12.78133, 11.45784, 10.20818, 8.833766, 7.583265, 
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    10.26243, 13.51708, 17.53034, 21.43303, 24.73887, 27.69882, 30.32058, 
    31.80501, 32.23878, 31.75781, 29.73331, 26.9017, 23.79956, 20.39741, 
    16.4469, 12.6687, 10.03983, 7.816027, 6.134149, 5.81594, 6.169822, 
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    10.10555, 10.55178, 10.64667, 10.38495, 9.587484, 8.248219, 6.895967, 
    5.729427, 4.883782, 4.275091, 3.987814, 3.920477, 3.960463, 4.046945, 
    4.120303,
  3.616438, 3.677022, 3.778042, 4.003116, 4.290942, 4.775839, 5.6223, 
    6.751843, 8.192, 9.645785, 11.14027, 12.69719, 14.06556, 15.36934, 
    16.55415, 17.40623, 17.89955, 18.10454, 18.32639, 18.51675, 18.59342, 
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    11.94232, 11.93029, 11.87631, 11.75974, 11.57279, 11.35031, 11.10538, 
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    13.91111, 14.63889, 15.28658, 15.88139, 16.40294, 16.84179, 17.24907, 
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    10.98855, 10.51363, 10.28854, 10.37485, 11.03305, 12.21479, 13.93241, 
    16.25884, 18.49747, 20.74193, 12.24651, 12.23902, 13.24292, 14.22246, 
    30.09483, 33.69777, 35.52923, 37.17269, 38.57493, 39.49391, 39.77853, 
    39.48983, 38.57202, 37.01052, 34.99967, 32.57809, 29.64053, 26.56498, 
    23.73277, 20.94749, 17.99438, 15.18698, 12.83205, 10.78006, 8.936249, 
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    2.05458, 2.004318, 1.950247, 1.893852, 1.868218, 1.906308, 2.011491, 
    2.164302, 2.375505, 2.713114, 3.136877, 3.589171, 4.093971, 4.689529, 
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    11.39638, 12.42564, 13.12789, 13.67607, 13.9984, 14.09453, 13.82812, 
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    28.67535, 29.0888, 28.68821, 26.85304, 24.2616, 21.44809, 18.38909, 
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    2.452924, 2.571852, 3.240587, 4.453438, 5.938433, 7.451646, 8.563298, 
    9.376934, 9.902529, 10.09129, 9.901875, 9.174717, 7.918829, 6.592307, 
    5.416152, 4.536989, 3.878776, 3.533169, 3.412316, 3.42307, 3.50395, 
    3.584922,
  3.250835, 3.315235, 3.432611, 3.705157, 4.053212, 4.603238, 5.506428, 
    6.596994, 7.787698, 8.988895, 10.20219, 11.42171, 12.42857, 13.3292, 
    14.07434, 14.50355, 14.73669, 14.83885, 14.94958, 15.04156, 15.06689, 
    15.0773, 15.0773, 15.06336, 14.98411, 14.83946, 14.60643, 14.2937, 
    13.93436, 13.50716, 12.96599, 12.35194, 11.76491, 11.23803, 10.74354, 
    10.32819, 10.01591, 9.768688, 9.579933, 9.470573, 9.43286, 9.428371, 
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    6.977263, 7.158088, 7.56499, 8.138225, 8.806149, 9.54089, 10.37174, 
    11.14119, 11.78282, 12.35906, 12.89151, 13.35586, 13.73398, 14.06796, 
    14.38476, 14.65569, 14.87656, 15.03157, 15.0477, 14.86197, 14.48291, 
    13.90423, 13.05272, 12.00521, 10.96418, 9.943942, 8.908056, 8.095641, 
    7.662736, 7.520188, 7.66671, 8.11519, 9.071295, 10.45186, 12.23955, 
    14.43764, 16.4979, 18.50066, 20.66333, 22.76792, 24.7016, 26.60426, 
    28.61744, 30.5851, 32.36861, 34.0225, 35.50813, 36.58474, 37.13181, 
    37.19318, 36.71005, 35.6111, 34.01801, 31.97394, 29.39685, 26.62768, 
    24.01295, 21.37235, 18.49537, 15.69514, 13.29502, 11.16815, 9.213943, 
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    3.888746, 3.540034, 3.350915, 3.27136, 3.301954, 3.425246, 3.613806, 
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    8.408628, 10.76836, 13.6227, 16.47663, 18.96149, 21.25509, 23.33692, 
    24.64397, 25.0436, 24.69334, 23.19466, 21.04955, 18.71565, 16.19445, 
    13.32944, 10.62685, 8.629679, 6.952956, 5.704048, 5.50226, 5.807279, 
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    3.671521, 3.617908, 3.583877, 3.677649, 3.798816, 3.873228, 4.025388, 
    4.270563, 4.536872, 4.728758, 4.932939, 5.197696, 5.361894, 5.395594, 
    5.318268, 5.193908, 5.03952, 4.897017, 4.810782, 4.72329, 4.569996, 
    4.453967, 4.48072, 4.609756, 4.702414, 4.719526, 4.678591, 4.548514, 
    4.32822, 4.061783, 3.739364, 3.295273, 2.853369, 2.529489, 2.302155, 
    2.15595, 2.191666, 2.645275, 3.632296, 4.964461, 6.406071, 7.53325, 
    8.389942, 8.98405, 9.265748, 9.224244, 8.718367, 7.633039, 6.408897, 
    5.271332, 4.384121, 3.700707, 3.317228, 3.155417, 3.124142, 3.166472, 
    3.22611,
  3.007618, 3.077311, 3.214094, 3.522146, 3.90428, 4.480228, 5.328705, 
    6.291739, 7.247566, 8.211076, 9.154623, 10.04797, 10.72646, 11.28848, 
    11.68112, 11.8509, 11.92091, 11.94625, 11.97398, 11.9953, 11.9953, 
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    2.991212,
  2.788622, 2.864933, 3.02121, 3.348214, 3.729831, 4.256397, 4.935816, 
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    3.394466, 3.13119, 2.820677, 2.413587, 2.003586, 1.67091, 1.410279, 
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    2.782763,
  2.790846, 2.853735, 2.983663, 3.257913, 3.571934, 3.969076, 4.454513, 
    4.976418, 5.459982, 5.943546, 6.37885, 6.748649, 6.968102, 7.11902, 
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    2.261859, 2.548892, 3.113055, 3.954572, 4.991463, 6.177361, 7.433717, 
    8.835834, 10.13716, 11.34615, 12.74112, 14.15788, 15.45985, 16.83351, 
    18.44607, 20.20832, 21.85315, 23.48721, 25.14935, 26.52498, 27.58047, 
    28.401, 28.93368, 29.00132, 28.56703, 27.67266, 26.24695, 24.47606, 
    22.62157, 20.56502, 18.15166, 15.69104, 13.48513, 11.46386, 9.511423, 
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    2.070729, 2.236107, 2.378743, 2.490431, 2.571542, 2.614044, 2.629993, 
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    0.9917717, 0.9371213, 1.006827, 1.387584, 2.174108, 3.172418, 4.108947, 
    4.933971, 5.619464, 6.095487, 6.352327, 6.445178, 6.138987, 5.5287, 
    4.831268, 4.159972, 3.557302, 3.151738, 2.931184, 2.824672, 2.787871, 
    2.788282,
  3.010784, 3.04463, 3.117681, 3.29763, 3.504815, 3.755988, 4.048167, 
    4.34645, 4.621536, 4.896622, 5.149057, 5.358364, 5.460941, 5.518477, 
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    3.964703, 3.860541, 3.77839, 3.718608, 3.685124, 3.670645, 3.667345, 
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    3.774355, 3.77632, 3.770061, 3.751464, 3.718893, 3.674158, 3.621475, 
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    3.888328, 3.847409, 3.777291, 3.693254, 3.578142, 3.436867, 3.291053, 
    3.126048, 2.903856, 2.631708, 2.368311, 2.11566, 1.891822, 1.779842, 
    1.84424, 2.078928, 2.545152, 3.245854, 4.112008, 5.152754, 6.367699, 
    7.622825, 8.759111, 9.770123, 10.84321, 11.94374, 12.94922, 14.04802, 
    15.35415, 16.79049, 18.19244, 19.61096, 21.09457, 22.39404, 23.43184, 
    24.29272, 24.94306, 25.20916, 25.02808, 24.4363, 23.37441, 21.98326, 
    20.48192, 18.77416, 16.73125, 14.61626, 12.69407, 10.91205, 9.168017, 
    7.630979, 6.406922, 5.358428, 4.455731, 3.785067, 3.309669, 2.945521, 
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    2.683793, 2.222419, 1.908739, 1.703478, 1.525169, 1.352887, 1.237917, 
    1.196518, 1.212152, 1.28742, 1.395104, 1.513991, 1.644007, 1.801898, 
    1.957304, 2.071143, 2.163282, 2.225626, 2.270446, 2.302116, 2.319128, 
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    2.530675, 2.698395, 2.93896, 3.222005, 3.506304, 3.839019, 4.241206, 
    4.585577, 4.803679, 4.912921, 4.912318, 4.814524, 4.639999, 4.402562, 
    4.107582, 3.864072, 3.722245, 3.676448, 3.760869, 3.938256, 4.16064, 
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    4.422138, 4.03237, 3.600325, 3.206569, 2.891916, 2.623069, 2.387936, 
    2.21871, 2.115153, 2.058139, 2.033258, 2.033056, 2.068584, 2.163295, 
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    4.44062, 4.441056, 4.276009, 4.043003, 3.781619, 3.492214, 3.206157, 
    2.97367, 2.812588, 2.725513, 2.701956, 2.697894, 2.659956, 2.559937, 
    2.404549, 2.215613, 1.986797, 1.703668, 1.422148, 1.203651, 1.036561, 
    0.9228533, 0.8725852, 0.9139673, 1.16575, 1.734103, 2.497452, 3.236058, 
    3.899891, 4.492819, 4.939838, 5.210204, 5.361389, 5.254667, 4.897635, 
    4.437326, 3.976583, 3.556909, 3.255388, 3.09176, 3.020431, 3.000505, 
    3.004319,
  3.222726, 3.235277, 3.264865, 3.363587, 3.470437, 3.590832, 3.719937, 
    3.848188, 3.966279, 4.08437, 4.199705, 4.292263, 4.317883, 4.328557, 
    4.328557, 4.328557, 4.328557, 4.328557, 4.328557, 4.328557, 4.328557, 
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    4.138473, 4.06527, 3.971181, 3.867669, 3.771943, 3.68425, 3.602287, 
    3.533331, 3.481214, 3.440258, 3.412468, 3.398138, 3.392329, 3.391043, 
    3.393643, 3.401943, 3.418843, 3.437843, 3.459193, 3.479048, 3.495357, 
    3.509565, 3.521221, 3.52868, 3.52564, 3.5121, 3.491309, 3.462567, 
    3.432423, 3.401579, 3.371576, 3.348009, 3.340119, 3.338519, 3.344042, 
    3.354664, 3.365627, 3.376266, 3.389503, 3.401654, 3.406116, 3.401497, 
    3.373924, 3.31566, 3.238266, 3.155252, 3.071133, 2.994021, 2.934559, 
    2.864954, 2.748964, 2.578196, 2.395327, 2.198385, 1.984, 1.836988, 
    1.821325, 1.937144, 2.229786, 2.709814, 3.345773, 4.143397, 5.180855, 
    6.28074, 7.267806, 8.134833, 8.971749, 9.844742, 10.64288, 11.50076, 
    12.50986, 13.59198, 14.6677, 15.79006, 16.99627, 18.13748, 19.08344, 
    19.90779, 20.60025, 20.99513, 21.00553, 20.65735, 19.90117, 18.85805, 
    17.69651, 16.35167, 14.71397, 12.99482, 11.41939, 9.944993, 8.486459, 
    7.18502, 6.133149, 5.217988, 4.421186, 3.824724, 3.399727, 3.069161, 
    2.793168, 2.611923, 2.513373, 2.469746, 2.484119, 2.542334, 2.609741, 
    2.667362, 2.719201, 2.756117, 2.764899, 2.752338, 2.721242, 2.672484, 
    2.615986, 2.56017, 2.522245, 2.518743, 2.57276, 2.702396, 2.948859, 
    3.287143, 3.655319, 4.061286, 4.529977, 4.964059, 5.249485, 5.356346, 
    5.235859, 4.943647, 4.573248, 4.141953, 3.606596, 3.010552, 2.463591, 
    1.987422, 1.613265, 1.404749, 1.269911, 1.16484, 1.081958, 1.065934, 
    1.114626, 1.213688, 1.367884, 1.527723, 1.670859, 1.807641, 1.951702, 
    2.073202, 2.150149, 2.205749, 2.232701, 2.247013, 2.258045, 2.263854, 
    2.264003, 2.259336, 2.250342, 2.240291, 2.23252, 2.234018, 2.244639, 
    2.261536, 2.285301, 2.303602, 2.267531, 2.152249, 2.007126, 1.893469, 
    1.820212, 1.776629, 1.760122, 1.767905, 1.798692, 1.89846, 2.100842, 
    2.31373, 2.485698, 2.624971, 2.763419, 2.886142, 2.966492, 3.004201, 
    3.010288, 3.046401, 3.122691, 3.238347, 3.425214, 3.619605, 3.805061, 
    4.001624, 4.219728, 4.396868, 4.468412, 4.448329, 4.321466, 4.075142, 
    3.772723, 3.424838, 3.043241, 2.69658, 2.414666, 2.166308, 1.940658, 
    1.769972, 1.657313, 1.589449, 1.559644, 1.562063, 1.607103, 1.719015, 
    1.942745, 2.251444, 2.590956, 2.971787, 3.399443, 3.803184, 4.088238, 
    4.256696, 4.258975, 4.076499, 3.810822, 3.508012, 3.166246, 2.824861, 
    2.542243, 2.333135, 2.202099, 2.158463, 2.159765, 2.148897, 2.094894, 
    1.996287, 1.865386, 1.700558, 1.492421, 1.286328, 1.132336, 1.018557, 
    0.9436914, 0.9108318, 0.9457514, 1.12399, 1.53229, 2.08972, 2.641429, 
    3.145607, 3.61253, 3.987801, 4.240361, 4.413586, 4.431703, 4.266306, 
    4.01088, 3.741086, 3.495906, 3.321886, 3.23224, 3.204078, 3.203139, 
    3.211155,
  3.293785, 3.300442, 3.31379, 3.348376, 3.380711, 3.411293, 3.44251, 
    3.472175, 3.499254, 3.526332, 3.554494, 3.57675, 3.57675, 3.57675, 
    3.57675, 3.57675, 3.57675, 3.57675, 3.57675, 3.57675, 3.57675, 3.57675, 
    3.57675, 3.576154, 3.572777, 3.566618, 3.557132, 3.544021, 3.52932, 
    3.510448, 3.485666, 3.458102, 3.433469, 3.411617, 3.391205, 3.37417, 
    3.361208, 3.351027, 3.345017, 3.342832, 3.342832, 3.343532, 3.346182, 
    3.354935, 3.371584, 3.390684, 3.412739, 3.433993, 3.452097, 3.468101, 
    3.481709, 3.491264, 3.490621, 3.479477, 3.461236, 3.434189, 3.405141, 
    3.375745, 3.345546, 3.319697, 3.304637, 3.294125, 3.287115, 3.284954, 
    3.289094, 3.297086, 3.307378, 3.317917, 3.323312, 3.323464, 3.310891, 
    3.281757, 3.241003, 3.194669, 3.148749, 3.112239, 3.093028, 3.066125, 
    2.996935, 2.865674, 2.708317, 2.515537, 2.270108, 2.056965, 1.941997, 
    1.917517, 2.022388, 2.274396, 2.673112, 3.223694, 3.999391, 4.868773, 
    5.664189, 6.370197, 7.05292, 7.767185, 8.416821, 9.097174, 9.870751, 
    10.68182, 11.48367, 12.31437, 13.21418, 14.13899, 14.93889, 15.67246, 
    16.34371, 16.80495, 16.9595, 16.8189, 16.33364, 15.59792, 14.73923, 
    13.72383, 12.45758, 11.11148, 9.867242, 8.695363, 7.530965, 6.483444, 
    5.623128, 4.865618, 4.204096, 3.707592, 3.355741, 3.0826, 2.853866, 
    2.697227, 2.609299, 2.568242, 2.570634, 2.601279, 2.63947, 2.673837, 
    2.707371, 2.731414, 2.736909, 2.722809, 2.682592, 2.620559, 2.551319, 
    2.479978, 2.414765, 2.379799, 2.406342, 2.512694, 2.737583, 3.066486, 
    3.438687, 3.846936, 4.291331, 4.681047, 4.910439, 4.949059, 4.774475, 
    4.439947, 4.033045, 3.567352, 3.007693, 2.423969, 1.911112, 1.498816, 
    1.228685, 1.106744, 1.049815, 1.023677, 1.028561, 1.099682, 1.223105, 
    1.388499, 1.591441, 1.774765, 1.930417, 2.071717, 2.210217, 2.317315, 
    2.378155, 2.417995, 2.429838, 2.431839, 2.432887, 2.432887, 2.432887, 
    2.432887, 2.43239, 2.430498, 2.428107, 2.428803, 2.432635, 2.437505, 
    2.443769, 2.441828, 2.380726, 2.213852, 1.985551, 1.764769, 1.571802, 
    1.391392, 1.209107, 1.037739, 0.9005952, 0.8390658, 0.9064534, 1.028491, 
    1.164426, 1.324344, 1.5577, 1.820745, 2.054454, 2.258796, 2.449987, 
    2.653882, 2.858228, 3.059665, 3.274345, 3.43724, 3.564033, 3.685554, 
    3.815696, 3.915372, 3.935676, 3.884293, 3.757959, 3.537459, 3.275103, 
    2.979545, 2.659061, 2.367851, 2.126593, 1.908407, 1.701586, 1.537013, 
    1.424573, 1.354472, 1.325734, 1.334759, 1.391902, 1.520807, 1.765772, 
    2.1001, 2.467933, 2.878456, 3.338626, 3.77063, 4.07944, 4.261878, 
    4.258863, 4.057711, 3.760822, 3.415944, 3.018578, 2.616747, 2.275915, 
    2.006813, 1.818004, 1.745693, 1.739341, 1.742507, 1.723047, 1.670875, 
    1.589717, 1.481988, 1.342647, 1.205966, 1.111517, 1.048192, 1.015847, 
    1.013918, 1.059772, 1.203143, 1.504154, 1.910484, 2.312798, 2.678721, 
    3.02638, 3.318892, 3.536545, 3.704235, 3.781629, 3.734242, 3.616921, 
    3.483505, 3.366924, 3.290567, 3.256698, 3.253886, 3.263902, 3.276769,
  3.224761, 3.233517, 3.24863, 3.261346, 3.270806, 3.278166, 3.284128, 
    3.287434, 3.289838, 3.29189, 3.293398, 3.295002, 3.295355, 3.295707, 
    3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 
    3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 
    3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 
    3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 3.295858, 3.296205, 
    3.298704, 3.307451, 3.323851, 3.342699, 3.365298, 3.387802, 3.407106, 
    3.42431, 3.439664, 3.450567, 3.451371, 3.441674, 3.424674, 3.398325, 
    3.369626, 3.340222, 3.31002, 3.283566, 3.265858, 3.251998, 3.242038, 
    3.236679, 3.237819, 3.243511, 3.251303, 3.258794, 3.26279, 3.263642, 
    3.259068, 3.249531, 3.237726, 3.22629, 3.219921, 3.225911, 3.24875, 
    3.266346, 3.246964, 3.15891, 3.031312, 2.848356, 2.592162, 2.331038, 
    2.129483, 1.96836, 1.888118, 1.921417, 2.091041, 2.397448, 2.931505, 
    3.597782, 4.238143, 4.833808, 5.402431, 6.002812, 6.544311, 7.094145, 
    7.688682, 8.27392, 8.82954, 9.379181, 9.968417, 10.63551, 11.23942, 
    11.8214, 12.39778, 12.85124, 13.08745, 13.10585, 12.85536, 12.39575, 
    11.81674, 11.09633, 10.17285, 9.17001, 8.229709, 7.33693, 6.445631, 
    5.638889, 4.965288, 4.367904, 3.852237, 3.462947, 3.190421, 2.981184, 
    2.807681, 2.688817, 2.623545, 2.594985, 2.599002, 2.621302, 2.648839, 
    2.676024, 2.705212, 2.727104, 2.731551, 2.717452, 2.675507, 2.607953, 
    2.531042, 2.451327, 2.372499, 2.321861, 2.333922, 2.42824, 2.63629, 
    2.946213, 3.306435, 3.700243, 4.104736, 4.440163, 4.61662, 4.604462, 
    4.388169, 4.020427, 3.589268, 3.10247, 2.535882, 1.984015, 1.529101, 
    1.193552, 1.015947, 0.973666, 0.9917904, 1.039315, 1.122599, 1.266157, 
    1.442335, 1.643278, 1.861993, 2.049748, 2.205647, 2.347199, 2.485699, 
    2.592197, 2.650641, 2.688085, 2.697929, 2.699022, 2.69937, 2.69937, 
    2.69937, 2.69937, 2.69937, 2.69867, 2.697923, 2.698022, 2.69887, 2.69937, 
    2.699817, 2.691616, 2.622364, 2.436911, 2.176647, 1.899956, 1.641637, 
    1.385744, 1.111416, 0.8395144, 0.6054127, 0.4476018, 0.4252192, 
    0.4752554, 0.5806687, 0.7498636, 1.02519, 1.348299, 1.648082, 1.929002, 
    2.209003, 2.490527, 2.749044, 2.973163, 3.165236, 3.281684, 3.354585, 
    3.418381, 3.483056, 3.528017, 3.51781, 3.456223, 3.348678, 3.172619, 
    2.964331, 2.733312, 2.484267, 2.256091, 2.06372, 1.884613, 1.706976, 
    1.556138, 1.44856, 1.377002, 1.34517, 1.352133, 1.411456, 1.546041, 
    1.796917, 2.137735, 2.513608, 2.93078, 3.397205, 3.835493, 4.155056, 
    4.341948, 4.332169, 4.118991, 3.803959, 3.42939, 2.991185, 2.544468, 
    2.156286, 1.833534, 1.591189, 1.482812, 1.457792, 1.460474, 1.460161, 
    1.439593, 1.395495, 1.332873, 1.253007, 1.180008, 1.142181, 1.127427, 
    1.138055, 1.171418, 1.236892, 1.359987, 1.587691, 1.886347, 2.181322, 
    2.445876, 2.700399, 2.921061, 3.096026, 3.240585, 3.339635, 3.352522, 
    3.309537, 3.248686, 3.198611, 3.171999, 3.164696, 3.170666, 3.184475, 
    3.201788,
  3.144732, 3.156293, 3.17616, 3.194027, 3.207794, 3.219109, 3.229023, 
    3.235185, 3.239844, 3.243804, 3.24736, 3.250314, 3.251869, 3.253072, 
    3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 
    3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 
    3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 
    3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 3.253372, 
    3.255622, 3.263318, 3.279114, 3.297011, 3.319309, 3.341806, 3.361102, 
    3.37865, 3.3946, 3.405698, 3.407099, 3.398, 3.3811, 3.354296, 3.325093, 
    3.294841, 3.263988, 3.236436, 3.216077, 3.199218, 3.186057, 3.177899, 
    3.176543, 3.179735, 3.184826, 3.190322, 3.193269, 3.194469, 3.194423, 
    3.196032, 3.200543, 3.208906, 3.226279, 3.259666, 3.310406, 3.367865, 
    3.401634, 3.362599, 3.270219, 3.112735, 2.876402, 2.60707, 2.355453, 
    2.09353, 1.842989, 1.448506, 0.9085529, 1.000327, 1.209019, 1.492491, 
    2.45636, 3.5324, 4.01191, 4.521551, 4.97771, 5.42789, 5.886838, 6.306442, 
    6.676236, 7.028486, 7.402576, 7.835847, 8.244241, 8.662169, 9.106198, 
    9.496588, 9.747784, 9.851129, 9.766773, 9.523008, 9.172184, 8.690863, 
    8.053521, 7.343725, 6.669873, 6.028199, 5.383719, 4.794091, 4.293947, 
    3.851163, 3.479244, 3.198473, 3.008927, 2.86518, 2.750507, 2.673486, 
    2.633519, 2.619421, 2.630548, 2.653503, 2.6786, 2.702292, 2.728737, 
    2.74833, 2.752078, 2.738682, 2.697482, 2.629533, 2.549826, 2.465563, 
    2.37889, 2.318013, 2.320742, 2.406067, 2.59721, 2.87916, 3.205424, 
    3.560019, 3.913703, 4.198455, 4.336854, 4.298897, 4.065279, 3.68997, 
    3.263656, 2.791542, 2.259594, 1.767539, 1.38622, 1.121771, 1.007733, 
    1.021069, 1.090322, 1.188623, 1.324224, 1.51039, 1.710115, 1.918922, 
    2.139972, 2.328422, 2.483366, 2.623606, 2.7611, 2.866042, 2.922083, 
    2.957124, 2.965822, 2.965823, 2.965822, 2.965822, 2.965822, 2.965823, 
    2.965822, 2.965475, 2.965325, 2.965326, 2.965574, 2.965822, 2.965822, 
    2.957272, 2.887319, 2.701167, 2.438566, 2.145955, 1.860248, 1.567506, 
    1.249455, 0.9304543, 0.6503614, 0.4434077, 0.3639252, 0.3647237, 
    0.4452017, 0.6086712, 0.8827381, 1.210059, 1.518332, 1.814009, 2.114945, 
    2.411068, 2.667188, 2.873609, 3.026788, 3.097751, 3.127224, 3.148658, 
    3.171768, 3.187368, 3.169475, 3.11873, 3.044033, 2.924954, 2.780498, 
    2.61926, 2.443673, 2.278852, 2.136995, 2.001429, 1.861706, 1.736405, 
    1.642921, 1.577065, 1.544791, 1.549463, 1.608034, 1.741139, 1.983862, 
    2.310605, 2.67189, 3.072715, 3.522486, 3.946408, 4.25684, 4.433937, 
    4.413448, 4.194237, 3.873482, 3.484106, 3.022762, 2.550868, 2.136581, 
    1.784595, 1.513706, 1.380222, 1.341202, 1.340699, 1.350325, 1.348463, 
    1.328565, 1.297841, 1.261034, 1.233826, 1.234399, 1.252111, 1.293127, 
    1.354343, 1.436878, 1.547704, 1.719746, 1.939386, 2.162301, 2.361782, 
    2.556377, 2.727751, 2.867008, 2.98493, 3.0869, 3.132975, 3.127551, 
    3.099362, 3.076511, 3.066732, 3.06794, 3.077192, 3.094001, 3.115163,
  3.055221, 3.070281, 3.096151, 3.119869, 3.139035, 3.155401, 3.170067, 
    3.181085, 3.189347, 3.196557, 3.202817, 3.207776, 3.211132, 3.213435, 
    3.214389, 3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 
    3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 
    3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 
    3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 3.214892, 
    3.216589, 3.222884, 3.236877, 3.253322, 3.273862, 3.294857, 3.31235, 
    3.32809, 3.342129, 3.352024, 3.35282, 3.343468, 3.326014, 3.297809, 
    3.267305, 3.236453, 3.205002, 3.1768, 3.154044, 3.134789, 3.118581, 
    3.107924, 3.104769, 3.105814, 3.108759, 3.112, 3.114248, 3.115448, 
    3.116451, 3.120256, 3.128266, 3.14118, 3.166958, 3.212597, 3.278146, 
    3.362252, 3.44775, 3.463571, 3.410893, 3.292064, 3.09735, 2.859825, 
    2.610353, 2.304754, 1.033378, 0.5618553, 0, 0, 0.5762903, 0.7707512, 
    1.600702, 2.565407, 2.962846, 3.380543, 3.758556, 4.133816, 4.509202, 
    4.840351, 5.109132, 5.346724, 5.585046, 5.864426, 6.134027, 6.426376, 
    6.750411, 7.053589, 7.273, 7.394873, 7.39314, 7.27156, 7.05758, 6.737997, 
    6.298455, 5.801057, 5.327894, 4.880613, 4.43416, 4.025599, 3.680291, 
    3.37869, 3.131525, 2.951312, 2.839786, 2.75937, 2.699178, 2.662093, 
    2.646811, 2.647601, 2.665717, 2.689869, 2.713614, 2.734907, 2.758796, 
    2.776542, 2.77959, 2.766186, 2.724634, 2.657538, 2.577342, 2.491193, 
    2.401345, 2.335442, 2.330566, 2.403013, 2.568866, 2.811829, 3.091379, 
    3.393313, 3.690634, 3.927389, 4.03656, 3.98619, 3.756783, 3.408556, 
    3.024879, 2.607978, 2.148367, 1.736111, 1.426267, 1.219973, 1.153503, 
    1.204801, 1.299706, 1.419438, 1.576268, 1.776941, 1.982553, 2.192353, 
    2.412899, 2.600545, 2.75379, 2.891987, 3.027531, 3.130527, 3.184775, 
    3.218023, 3.226272, 3.226272, 3.226272, 3.226272, 3.226272, 3.226272, 
    3.226272, 3.226272, 3.226272, 3.226272, 3.226272, 3.226272, 3.226272, 
    3.217723, 3.147523, 2.961124, 2.698927, 2.40503, 2.111538, 1.804742, 
    1.471196, 1.136699, 0.8420502, 0.6191539, 0.5174472, 0.4960615, 
    0.5521846, 0.6943868, 0.9433181, 1.245345, 1.530734, 1.803871, 2.081445, 
    2.349001, 2.571475, 2.748827, 2.865675, 2.897019, 2.891079, 2.883064, 
    2.884017, 2.888297, 2.875974, 2.846549, 2.807967, 2.741819, 2.656487, 
    2.557508, 2.442818, 2.330562, 2.23133, 2.135238, 2.031281, 1.933652, 
    1.859655, 1.807345, 1.784274, 1.797253, 1.862272, 1.998686, 2.229843, 
    2.53351, 2.865043, 3.227687, 3.63179, 4.013713, 4.296664, 4.455053, 
    4.422065, 4.205693, 3.898679, 3.522383, 3.07878, 2.626137, 2.225202, 
    1.877412, 1.604687, 1.468202, 1.42555, 1.421732, 1.43689, 1.443253, 
    1.434571, 1.419592, 1.401818, 1.392688, 1.407655, 1.436261, 1.486251, 
    1.55448, 1.637852, 1.739068, 1.871833, 2.040982, 2.218788, 2.375595, 
    2.529046, 2.664955, 2.776931, 2.870711, 2.95619, 3.009161, 3.012239, 
    2.990821, 2.972803, 2.964392, 2.965936, 2.975185, 2.994491, 3.0192,
  2.95871, 2.976919, 3.009086, 3.038703, 3.06352, 3.085537, 3.106458, 
    3.122621, 3.135335, 3.146297, 3.155755, 3.163363, 3.168618, 3.172122, 
    3.174275, 3.174873, 3.174873, 3.174873, 3.174873, 3.174873, 3.174873, 
    3.174873, 3.174923, 3.175375, 3.175375, 3.175728, 3.175929, 3.176532, 
    3.177135, 3.177739, 3.178393, 3.179047, 3.17965, 3.180254, 3.180455, 
    3.180907, 3.181159, 3.18141, 3.180958, 3.180757, 3.180404, 3.180053, 
    3.180498, 3.183986, 3.194373, 3.207559, 3.224396, 3.242082, 3.25632, 
    3.268459, 3.278647, 3.285535, 3.28478, 3.274225, 3.255471, 3.225817, 
    3.193763, 3.16206, 3.129957, 3.100954, 3.077003, 3.056551, 3.038548, 
    3.026245, 3.021994, 3.02159, 3.023137, 3.024183, 3.025479, 3.026428, 
    3.028481, 3.034187, 3.044994, 3.062808, 3.098137, 3.15763, 3.240381, 
    3.344493, 3.468725, 3.540987, 3.531318, 3.456557, 3.311966, 3.121618, 
    2.908403, 2.611148, 0.2528516, 0, 0, 0.3826529, 1.12307, 1.392747, 
    1.643111, 1.913779, 2.210096, 2.522578, 2.822655, 3.141361, 3.480861, 
    3.794403, 4.046568, 4.260933, 4.463693, 4.688182, 4.89762, 5.119249, 
    5.358211, 5.577687, 5.740393, 5.838433, 5.851909, 5.773749, 5.618379, 
    5.381506, 5.052002, 4.682309, 4.33497, 4.013899, 3.699033, 3.420466, 
    3.194833, 3.006305, 2.859815, 2.765385, 2.717991, 2.690168, 2.671658, 
    2.664873, 2.667812, 2.678783, 2.700992, 2.725391, 2.747335, 2.766128, 
    2.786769, 2.801707, 2.803804, 2.789452, 2.748105, 2.681957, 2.603312, 
    2.518368, 2.429672, 2.361915, 2.347535, 2.39997, 2.53242, 2.728934, 
    2.95884, 3.206235, 3.447231, 3.638306, 3.724348, 3.673263, 3.466805, 
    3.165156, 2.84028, 2.489872, 2.108897, 1.774463, 1.52959, 1.372173, 
    1.343718, 1.420622, 1.529903, 1.659127, 1.824598, 2.031914, 2.240469, 
    2.441268, 2.643164, 2.811859, 2.947613, 3.068668, 3.184962, 3.269108, 
    3.306714, 3.323672, 3.328302, 3.328503, 3.328855, 3.329207, 3.329861, 
    3.330666, 3.331621, 3.332225, 3.332426, 3.33303, 3.333381, 3.333733, 
    3.333884, 3.329256, 3.274745, 3.104387, 2.860791, 2.585998, 2.311651, 
    2.022952, 1.709011, 1.39397, 1.110533, 0.8893395, 0.7870424, 0.7573788, 
    0.7917266, 0.9033942, 1.113685, 1.373961, 1.621298, 1.856035, 2.091412, 
    2.309263, 2.485769, 2.626602, 2.709956, 2.711787, 2.682438, 2.656246, 
    2.645623, 2.648384, 2.65195, 2.651344, 2.650801, 2.631224, 2.593387, 
    2.541546, 2.472003, 2.398942, 2.330758, 2.262917, 2.185935, 2.110997, 
    2.054498, 2.017247, 2.007696, 2.033995, 2.108935, 2.251758, 2.468566, 
    2.735786, 3.020125, 3.325444, 3.660685, 3.97768, 4.216369, 4.347672, 
    4.302085, 4.100996, 3.832184, 3.502505, 3.11559, 2.720572, 2.366634, 
    2.051515, 1.795285, 1.665359, 1.622359, 1.615056, 1.631657, 1.643626, 
    1.642654, 1.635378, 1.624694, 1.619699, 1.635689, 1.661819, 1.703933, 
    1.759781, 1.830284, 1.917587, 2.027536, 2.163944, 2.312012, 2.439784, 
    2.563658, 2.671986, 2.760722, 2.831959, 2.892835, 2.92957, 2.924745, 
    2.896824, 2.872455, 2.85949, 2.85843, 2.867179, 2.888082, 2.916243,
  2.854698, 2.876058, 2.914074, 2.949692, 2.980508, 3.008525, 3.035841, 
    3.057308, 3.074319, 3.088877, 3.101688, 3.111945, 3.119101, 3.123804, 
    3.126655, 3.127006, 3.127357, 3.127358, 3.127358, 3.127358, 3.127357, 
    3.127358, 3.127408, 3.128006, 3.12886, 3.130063, 3.131419, 3.133473, 
    3.13588, 3.138287, 3.140894, 3.143501, 3.145657, 3.14746, 3.148966, 
    3.15057, 3.15117, 3.151419, 3.150921, 3.149968, 3.148413, 3.146859, 
    3.145352, 3.14464, 3.149623, 3.157406, 3.168888, 3.181372, 3.190807, 
    3.198142, 3.203124, 3.205108, 3.201497, 3.189142, 3.168435, 3.136827, 
    3.102972, 3.070169, 3.037418, 3.007918, 2.983718, 2.963018, 2.944568, 
    2.932221, 2.927721, 2.926721, 2.927219, 2.92787, 2.928218, 2.928918, 
    2.931568, 2.939273, 2.952983, 2.976149, 3.021528, 3.096976, 3.198128, 
    3.324142, 3.477525, 3.609301, 3.652369, 3.628921, 3.544605, 3.416757, 
    3.262606, 1.895423, 0.1343952, 0, 0, 0.3783253, 1.107538, 1.277677, 
    1.419846, 1.585831, 1.77792, 1.988558, 1.686677, 1.349421, 2.653828, 
    3.072673, 3.32833, 3.550411, 3.759439, 3.966251, 4.142324, 4.312403, 
    4.481696, 4.625489, 4.726833, 4.789392, 4.793463, 4.727592, 4.605099, 
    4.420367, 4.165897, 3.889973, 3.636797, 3.410557, 3.192826, 3.007423, 
    2.867042, 2.760238, 2.68951, 2.657345, 2.65188, 2.657595, 2.663846, 
    2.674683, 2.688807, 2.706072, 2.730828, 2.754776, 2.774318, 2.790008, 
    2.806745, 2.818237, 2.81828, 2.802573, 2.762075, 2.697532, 2.621793, 
    2.540106, 2.453464, 2.383759, 2.358779, 2.389772, 2.487726, 2.638753, 
    2.820372, 3.016334, 3.208309, 3.361115, 3.431232, 3.388363, 3.215966, 
    2.966411, 2.700171, 2.414346, 2.107442, 1.840864, 1.651603, 1.536512, 
    1.536881, 1.629466, 1.748089, 1.88526, 2.057981, 2.267176, 2.462547, 
    2.639011, 2.805865, 2.938264, 3.04067, 3.128376, 3.208677, 3.256173, 
    3.26807, 3.269521, 3.270822, 3.272278, 3.273832, 3.275387, 3.277844, 
    3.280751, 3.283858, 3.285913, 3.287871, 3.289825, 3.291128, 3.292432, 
    3.292933, 3.292485, 3.25967, 3.120506, 2.912254, 2.674407, 2.435304, 
    2.181502, 1.905408, 1.628063, 1.372709, 1.160704, 1.061016, 1.027256, 
    1.047729, 1.13467, 1.309478, 1.529572, 1.739623, 1.938481, 2.138, 
    2.319942, 2.464603, 2.582336, 2.651147, 2.647985, 2.61667, 2.588852, 
    2.578073, 2.583377, 2.595963, 2.607491, 2.621068, 2.619249, 2.600145, 
    2.567749, 2.519365, 2.464833, 2.411201, 2.357221, 2.298357, 2.242705, 
    2.203603, 2.183401, 2.191904, 2.23475, 2.321528, 2.467071, 2.665358, 
    2.889794, 3.120701, 3.364181, 3.628435, 3.874386, 4.05547, 4.152271, 
    4.103237, 3.9332, 3.71314, 3.442355, 3.121595, 2.79284, 2.49736, 
    2.233369, 2.00923, 1.890872, 1.848927, 1.841983, 1.859487, 1.875842, 
    1.881201, 1.878856, 1.871358, 1.864342, 1.873665, 1.889275, 1.916225, 
    1.954527, 2.008229, 2.079082, 2.172338, 2.283737, 2.404011, 2.506093, 
    2.604374, 2.689765, 2.757257, 2.806545, 2.841824, 2.85405, 2.836251, 
    2.800277, 2.769007, 2.750139, 2.745176, 2.752821, 2.774673, 2.805779,
  2.742687, 2.767195, 2.811514, 2.853179, 2.889995, 2.924012, 2.956876, 
    2.98399, 3.005303, 3.023464, 3.039622, 3.052529, 3.061584, 3.067487, 
    3.070688, 3.07149, 3.071838, 3.071838, 3.071838, 3.071838, 3.071838, 
    3.071838, 3.071889, 3.072792, 3.074844, 3.076895, 3.080302, 3.083905, 
    3.08836, 3.093166, 3.098826, 3.103932, 3.108138, 3.111644, 3.114897, 
    3.117851, 3.119154, 3.119406, 3.118803, 3.116649, 3.113646, 3.110643, 
    3.106385, 3.102128, 3.100609, 3.10189, 3.106922, 3.113355, 3.117039, 
    3.11827, 3.116602, 3.112233, 3.104471, 3.089713, 3.066356, 3.031696, 
    2.995942, 2.96229, 2.92939, 2.900041, 2.876193, 2.855845, 2.8385, 
    2.826852, 2.823206, 2.822709, 2.822759, 2.823206, 2.823206, 2.823906, 
    2.827109, 2.836513, 2.853471, 2.882689, 2.939422, 3.03227, 3.153628, 
    3.302993, 3.48557, 3.669531, 3.778575, 3.816206, 3.802007, 3.752886, 
    3.682194, 1.091493, 0, 0, 0, 0, 1.238717, 1.415065, 1.476701, 1.562122, 
    1.670624, 1.798179, 1.426995, 1.02434, 2.249355, 2.614749, 2.83696, 
    3.03329, 3.216172, 3.382338, 3.508943, 3.615566, 3.710917, 3.785846, 
    3.835267, 3.865128, 3.859102, 3.806243, 3.721796, 3.599269, 3.43448, 
    3.260061, 3.103015, 2.965542, 2.83812, 2.734773, 2.663585, 2.616167, 
    2.59542, 2.600641, 2.619189, 2.641918, 2.6631, 2.684773, 2.706289, 
    2.728853, 2.756111, 2.779309, 2.796051, 2.80789, 2.819827, 2.827162, 
    2.8235, 2.805494, 2.765142, 2.702747, 2.630757, 2.55387, 2.47033, 
    2.400232, 2.366262, 2.378466, 2.444336, 2.555137, 2.693179, 2.844169, 
    2.994968, 3.117596, 3.177121, 3.145702, 3.008896, 2.809275, 2.59676, 
    2.369909, 2.127366, 1.917658, 1.774069, 1.693451, 1.714746, 1.818322, 
    1.944742, 2.088658, 2.266114, 2.461595, 2.62912, 2.776698, 2.911065, 
    3.009178, 3.079295, 3.134007, 3.179063, 3.195395, 3.197544, 3.199344, 
    3.201348, 3.204048, 3.207303, 3.21091, 3.215817, 3.221173, 3.226579, 
    3.230937, 3.235744, 3.2396, 3.242354, 3.245109, 3.246865, 3.247418, 
    3.222125, 3.107625, 2.934169, 2.732162, 2.527956, 2.30905, 2.070349, 
    1.8305, 1.60909, 1.421277, 1.328101, 1.293254, 1.306944, 1.377311, 
    1.524753, 1.71248, 1.892463, 2.063703, 2.239, 2.402356, 2.533269, 
    2.64249, 2.71138, 2.71684, 2.693751, 2.672405, 2.663797, 2.665725, 
    2.670948, 2.673371, 2.677191, 2.668321, 2.646862, 2.615614, 2.571472, 
    2.523289, 2.476156, 2.429376, 2.380947, 2.337819, 2.310234, 2.300846, 
    2.319551, 2.370953, 2.461245, 2.598407, 2.772336, 2.959495, 3.144938, 
    3.335266, 3.538124, 3.722081, 3.851915, 3.915632, 3.871443, 3.741047, 
    3.569323, 3.355621, 3.101648, 2.841932, 2.608251, 2.401154, 2.222944, 
    2.124008, 2.085874, 2.081331, 2.100989, 2.119445, 2.123882, 2.116752, 
    2.101307, 2.080598, 2.072682, 2.068263, 2.075002, 2.094396, 2.131705, 
    2.190384, 2.274728, 2.375621, 2.477143, 2.562569, 2.644648, 2.711907, 
    2.761767, 2.790265, 2.800247, 2.785775, 2.74902, 2.703542, 2.664017, 
    2.637795, 2.627931, 2.632418, 2.654266, 2.687824,
  2.625693, 2.652649, 2.702509, 2.749874, 2.791986, 2.83165, 2.870316, 
    2.902679, 2.928541, 2.95055, 2.969658, 2.985316, 2.995818, 3.003172, 
    3.006723, 3.007823, 3.007823, 3.007823, 3.007823, 3.007823, 3.007823, 
    3.007823, 3.008376, 3.009926, 3.012577, 3.015932, 3.020834, 3.02634, 
    3.032847, 3.040053, 3.04876, 3.056366, 3.062621, 3.068176, 3.072881, 
    3.077134, 3.079386, 3.079886, 3.078735, 3.075332, 3.071129, 3.066574, 
    3.05992, 3.053063, 3.046103, 3.040536, 3.038868, 3.038348, 3.035782, 
    3.030415, 3.021545, 3.009725, 2.996206, 2.977443, 2.950833, 2.913227, 
    2.876175, 2.841923, 2.808872, 2.779823, 2.757178, 2.73768, 2.722385, 
    2.712142, 2.709693, 2.709693, 2.709693, 2.709693, 2.709693, 2.710745, 
    2.714646, 2.725751, 2.746211, 2.782079, 2.851764, 2.963366, 3.106121, 
    3.279684, 3.491813, 3.713753, 3.879462, 3.979059, 4.039956, 3.43275, 
    1.941103, 0.5789736, 0, 0, 0, 0, 1.50102, 1.665961, 1.67786, 1.70513, 
    1.745618, 1.806257, 1.889259, 2.009001, 2.16797, 2.349287, 2.514073, 
    2.657162, 2.785845, 2.897038, 2.969697, 3.016105, 3.045202, 3.06121, 
    3.066405, 3.065681, 3.052871, 3.023201, 2.983535, 2.926409, 2.853535, 
    2.777073, 2.709142, 2.650985, 2.600667, 2.562861, 2.540761, 2.531231, 
    2.540739, 2.565723, 2.597445, 2.628812, 2.659884, 2.689402, 2.717269, 
    2.745133, 2.774939, 2.79784, 2.811783, 2.819421, 2.825755, 2.826786, 
    2.818474, 2.797213, 2.755759, 2.695113, 2.626723, 2.554484, 2.475197, 
    2.406603, 2.367244, 2.364611, 2.404503, 2.482176, 2.58374, 2.697905, 
    2.814625, 2.912968, 2.964249, 2.94453, 2.840259, 2.68577, 2.521339, 
    2.346064, 2.159, 1.999022, 1.894066, 1.84088, 1.877215, 1.987475, 
    2.117926, 2.264475, 2.432169, 2.600042, 2.73997, 2.860298, 2.964421, 
    3.031845, 3.072925, 3.098256, 3.112687, 3.115231, 3.116779, 3.118679, 
    3.121832, 3.125838, 3.130541, 3.136296, 3.1434, 3.151609, 3.159315, 
    3.166322, 3.173728, 3.180035, 3.184841, 3.189648, 3.193805, 3.196513, 
    3.17387, 3.078471, 2.93961, 2.772552, 2.601936, 2.416268, 2.213309, 
    1.708542, 1.319689, 1.664914, 1.580989, 1.547493, 1.559394, 1.622738, 
    1.754362, 1.919314, 2.077264, 2.229272, 2.387634, 2.535647, 2.652861, 
    2.749424, 2.80989, 2.813973, 2.792522, 2.770363, 2.755589, 2.747508, 
    2.741928, 2.7339, 2.726872, 2.710101, 2.685091, 2.654492, 2.614054, 
    2.571416, 2.530884, 2.491051, 2.450471, 2.415141, 2.392703, 2.386709, 
    2.406913, 2.457657, 2.541431, 2.661579, 2.809361, 2.964031, 3.113396, 
    3.263102, 3.419045, 3.555134, 3.646496, 3.686453, 3.648876, 3.553256, 
    3.423403, 3.258916, 3.062093, 2.860166, 2.680887, 2.524352, 2.389693, 
    2.310987, 2.276139, 2.272084, 2.291727, 2.309417, 2.309105, 2.292334, 
    2.260894, 2.220749, 2.191703, 2.165457, 2.150905, 2.152364, 2.180054, 
    2.234704, 2.320215, 2.421424, 2.514557, 2.592642, 2.667877, 2.725969, 
    2.765, 2.774954, 2.76004, 2.718318, 2.662271, 2.606946, 2.558625, 
    2.525611, 2.510698, 2.510486, 2.531383, 2.566584,
  2.507201, 2.535553, 2.588609, 2.640417, 2.686978, 2.731438, 2.776204, 
    2.813716, 2.843776, 2.869285, 2.892046, 2.910101, 2.922307, 2.931009, 
    2.935111, 2.93596, 2.936312, 2.936312, 2.936312, 2.936312, 2.936312, 
    2.936312, 2.93691, 2.939063, 2.942566, 2.947117, 2.953372, 2.960926, 
    2.969581, 2.979287, 2.990745, 3.000951, 3.009106, 3.01656, 3.022864, 
    3.028418, 3.031369, 3.03187, 3.030619, 3.026016, 3.020613, 3.014158, 
    3.005804, 2.996448, 2.986342, 2.975884, 2.967819, 2.960202, 2.950784, 
    2.938918, 2.922549, 2.902628, 2.881206, 2.856288, 2.824573, 2.784918, 
    2.746915, 2.712064, 2.679366, 2.650969, 2.629671, 2.611877, 2.598431, 
    2.590286, 2.588186, 2.588186, 2.588186, 2.588186, 2.588186, 2.589586, 
    2.593787, 2.606993, 2.631453, 2.674471, 2.758107, 2.889608, 3.054364, 
    3.252728, 3.495556, 3.752595, 3.958442, 4.122373, 4.266601, 3.056759, 0, 
    0, 0, 0, 0, 0, 0.8152871, 1.189341, 1.868118, 1.870417, 1.875998, 
    1.897656, 1.939995, 2.005725, 2.096659, 2.208537, 2.310631, 2.393836, 
    2.460938, 2.515103, 2.541104, 2.547189, 2.539049, 2.523426, 2.507722, 
    2.495184, 2.486112, 2.481008, 2.480627, 2.476073, 2.469288, 2.461804, 
    2.456056, 2.452745, 2.453829, 2.45795, 2.464849, 2.476287, 2.500807, 
    2.534367, 2.572427, 2.609439, 2.647805, 2.684674, 2.719241, 2.752053, 
    2.783807, 2.806053, 2.816744, 2.820083, 2.820117, 2.813748, 2.799932, 
    2.774572, 2.730915, 2.671467, 2.607178, 2.539742, 2.466459, 2.401371, 
    2.360221, 2.347753, 2.368161, 2.419353, 2.491538, 2.576323, 2.66516, 
    2.743564, 2.789104, 2.781837, 2.70751, 2.593708, 2.472661, 2.343924, 
    2.207144, 2.0917, 2.021083, 1.991037, 2.038258, 2.151614, 2.276886, 
    2.409468, 2.550941, 2.688514, 2.800593, 2.89272, 2.966845, 3.004971, 
    3.019053, 3.025122, 3.025769, 3.026416, 3.027515, 3.030018, 3.034321, 
    3.039773, 3.046028, 3.053683, 3.062939, 3.073844, 3.084302, 3.093708, 
    3.103714, 3.112621, 3.120078, 3.127184, 3.134241, 3.139597, 3.125633, 
    3.05536, 2.950645, 2.818181, 2.679711, 2.525841, 2.357277, 1.889563, 
    1.534291, 1.897525, 1.81943, 1.787736, 1.799836, 1.861633, 1.984263, 
    2.131471, 2.270977, 2.407338, 2.550649, 2.684313, 2.787829, 2.869992, 
    2.916305, 2.912682, 2.888721, 2.862659, 2.838938, 2.819461, 2.80213, 
    2.783052, 2.765928, 2.741661, 2.714309, 2.684864, 2.649026, 2.612042, 
    2.578108, 2.545226, 2.512395, 2.483961, 2.465671, 2.461725, 2.482122, 
    2.528657, 2.600874, 2.700722, 2.822105, 2.947285, 3.066867, 3.185049, 
    3.305524, 3.405601, 3.469599, 3.497228, 3.467344, 3.399506, 3.302729, 
    3.175156, 3.017982, 2.854456, 2.712276, 2.592148, 2.490124, 2.429674, 
    2.398238, 2.39163, 2.406865, 2.418394, 2.412427, 2.387557, 2.341623, 
    2.28453, 2.238289, 2.194495, 2.166126, 2.156308, 2.18447, 2.243442, 
    2.335162, 2.435851, 2.523239, 2.595926, 2.665362, 2.718796, 2.75294, 
    2.749617, 2.71493, 2.648777, 2.579556, 2.515234, 2.458362, 2.419748, 
    2.400739, 2.395727, 2.412509, 2.445748,
  2.386704, 2.415405, 2.470157, 2.524813, 2.57497, 2.623731, 2.674143, 
    2.716756, 2.751016, 2.780025, 2.806382, 2.826688, 2.841043, 2.850846, 
    2.855546, 2.856448, 2.856797, 2.856797, 2.856796, 2.856796, 2.856797, 
    2.856797, 2.857449, 2.86035, 2.864801, 2.870305, 2.878359, 2.887864, 
    2.898318, 2.910172, 2.92468, 2.937537, 2.947843, 2.957097, 2.965252, 
    2.971703, 2.975606, 2.976357, 2.974555, 2.968852, 2.96235, 2.954096, 
    2.94374, 2.931834, 2.919077, 2.905972, 2.893816, 2.88151, 2.867555, 
    2.851149, 2.829089, 2.80318, 2.776023, 2.745715, 2.708353, 2.66509, 
    2.623726, 2.586566, 2.551955, 2.522196, 2.50019, 2.482736, 2.469031, 
    2.461277, 2.459178, 2.459178, 2.459177, 2.459177, 2.459178, 2.460578, 
    2.46538, 2.480735, 2.509195, 2.559713, 2.658401, 2.810352, 2.997606, 
    3.221267, 3.495243, 3.787728, 4.031921, 4.246341, 4.44795, 3.217441, 0, 
    0, 0, 0, 0, 0, 0, 0.6142512, 2.04475, 2.044438, 2.041265, 2.043009, 
    2.062859, 2.095664, 2.141756, 2.205992, 2.265636, 2.310239, 2.338945, 
    2.359814, 2.362495, 2.353987, 2.336731, 2.315827, 2.298976, 2.288072, 
    2.282864, 2.285809, 2.297451, 2.310494, 2.324937, 2.339231, 2.352676, 
    2.366122, 2.381963, 2.398957, 2.414903, 2.432949, 2.461651, 2.497602, 
    2.538657, 2.579715, 2.62433, 2.668145, 2.708456, 2.745265, 2.778518, 
    2.798611, 2.805703, 2.804039, 2.796568, 2.782399, 2.761881, 2.731919, 
    2.686567, 2.628824, 2.569135, 2.507701, 2.44182, 2.382738, 2.342944, 
    2.325186, 2.332714, 2.363672, 2.412823, 2.473871, 2.540574, 2.603242, 
    2.645688, 2.652122, 2.60659, 2.530227, 2.448971, 2.363873, 2.273733, 
    2.198777, 2.159851, 2.149947, 2.203909, 2.306401, 2.412535, 2.517266, 
    2.626886, 2.732405, 2.814729, 2.877808, 2.921735, 2.932977, 2.931767, 
    2.930562, 2.929758, 2.929255, 2.930255, 2.933707, 2.938858, 2.945713, 
    2.953767, 2.963222, 2.974877, 2.988083, 3.001289, 3.013447, 3.025752, 
    3.037358, 3.047565, 3.057071, 3.066726, 3.074834, 3.074867, 3.035392, 
    2.964172, 2.865604, 2.758679, 2.636003, 2.501234, 2.364766, 2.238238, 
    2.119722, 2.04433, 2.014484, 2.026784, 2.088085, 2.203519, 2.333275, 
    2.454429, 2.574538, 2.702249, 2.821816, 2.911281, 2.978343, 3.007748, 
    2.99392, 2.966162, 2.936305, 2.904687, 2.87406, 2.845585, 2.816061, 
    2.78964, 2.760181, 2.732532, 2.705941, 2.675556, 2.645021, 2.617587, 
    2.591905, 2.566371, 2.544789, 2.531153, 2.529409, 2.548756, 2.588288, 
    2.645848, 2.724395, 2.819131, 2.917016, 3.009852, 3.10164, 3.194177, 
    3.268573, 3.314636, 3.334468, 3.310833, 3.264176, 3.19298, 3.092035, 
    2.96144, 2.823593, 2.704939, 2.608686, 2.533794, 2.491283, 2.465848, 
    2.457899, 2.4702, 2.47333, 2.460563, 2.4289, 2.373085, 2.300852, 
    2.239971, 2.1833, 2.148387, 2.133882, 2.166693, 2.233811, 2.328054, 
    2.42359, 2.506681, 2.575424, 2.639663, 2.686847, 2.715879, 2.704663, 
    2.657739, 2.578477, 2.501811, 2.429694, 2.364525, 2.319709, 2.296497, 
    2.287288, 2.297624, 2.325961,
  2.265217, 2.293214, 2.348212, 2.404263, 2.456968, 2.509325, 2.564636, 
    2.612448, 2.650757, 2.683114, 2.712823, 2.735779, 2.751782, 2.762534, 
    2.767987, 2.768935, 2.769287, 2.769287, 2.769287, 2.769287, 2.769287, 
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    2.819306, 2.833211, 2.850618, 2.866124, 2.878829, 2.889783, 2.899686, 
    2.907341, 2.911841, 2.912841, 2.910541, 2.904039, 2.896085, 2.886382, 
    2.873727, 2.859221, 2.843815, 2.828409, 2.813803, 2.799048, 2.783043, 
    2.763886, 2.73858, 2.709423, 2.678764, 2.644956, 2.602845, 2.554233, 
    2.507973, 2.466613, 2.427101, 2.393944, 2.369186, 2.349681, 2.334077, 
    2.324973, 2.32217, 2.32217, 2.32217, 2.32217, 2.32217, 2.32357, 2.328971, 
    2.346627, 2.379187, 2.437656, 2.551289, 2.724239, 2.934092, 3.183152, 
    3.487973, 3.815856, 4.097894, 4.341412, 4.567369, 4.062405, 1.247309, 0, 
    0, 0, 0, 0, 0.116794, 1.484559, 2.221595, 2.222311, 2.217577, 2.208781, 
    2.212353, 2.22887, 2.255033, 2.295986, 2.333938, 2.358239, 2.366837, 
    2.372345, 2.365016, 2.350346, 2.329284, 2.305875, 2.286967, 2.273308, 
    2.264901, 2.264892, 2.273434, 2.284081, 2.296377, 2.308272, 2.319918, 
    2.331564, 2.344961, 2.359505, 2.373399, 2.389394, 2.416585, 2.450324, 
    2.488355, 2.527086, 2.570768, 2.614503, 2.654792, 2.690529, 2.721716, 
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    2.617154, 2.564773, 2.511592, 2.457712, 2.400785, 2.350058, 2.31442, 
    2.295573, 2.29576, 2.312484, 2.343848, 2.38606, 2.435826, 2.486149, 
    2.527498, 2.548232, 2.530546, 2.489578, 2.446768, 2.40256, 2.355958, 
    2.32005, 2.31137, 2.320163, 2.369028, 2.445613, 2.523746, 2.598723, 
    2.674793, 2.74591, 2.796686, 2.829262, 2.84274, 2.838574, 2.833766, 
    2.829658, 2.826752, 2.824747, 2.825747, 2.829547, 2.83545, 2.844003, 
    2.853506, 2.86476, 2.878866, 2.894823, 2.910529, 2.925183, 2.93984, 
    2.954447, 2.967052, 2.978957, 2.991265, 3.002572, 3.01108, 2.996173, 
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    2.319833, 2.247188, 2.216078, 2.226167, 2.286312, 2.386958, 2.492738, 
    2.591478, 2.691625, 2.799067, 2.898756, 2.969, 3.018254, 3.028458, 
    3.012122, 2.985937, 2.9573, 2.924913, 2.891677, 2.860488, 2.828599, 
    2.797348, 2.765345, 2.737995, 2.714853, 2.690567, 2.667285, 2.647054, 
    2.628922, 2.611796, 2.598065, 2.590882, 2.592441, 2.609232, 2.638151, 
    2.678559, 2.734353, 2.802139, 2.873176, 2.940569, 3.00691, 3.073499, 
    3.127305, 3.16063, 3.17437, 3.156683, 3.124911, 3.07521, 2.99646, 
    2.888815, 2.772364, 2.67316, 2.596356, 2.542598, 2.513474, 2.493535, 
    2.486187, 2.49924, 2.493669, 2.473249, 2.435332, 2.373167, 2.290902, 
    2.220688, 2.156774, 2.116914, 2.10056, 2.135409, 2.202441, 2.292478, 
    2.382617, 2.46236, 2.528102, 2.588495, 2.630436, 2.652571, 2.640432, 
    2.468422, 1.632912, 2.432608, 2.353543, 2.280072, 2.22725, 2.198034, 
    2.183517, 2.187602, 2.209434,
  2.152263, 2.177453, 2.229843, 2.285591, 2.339491, 2.393743, 2.452649, 
    2.504205, 2.545258, 2.580364, 2.612365, 2.63772, 2.655023, 2.666374, 
    2.672826, 2.673426, 2.673774, 2.673774, 2.673774, 2.673774, 2.673774, 
    2.673774, 2.675426, 2.679627, 2.68553, 2.693181, 2.704335, 2.717389, 
    2.732295, 2.7486, 2.768606, 2.786712, 2.801566, 2.81432, 2.825724, 
    2.834977, 2.84008, 2.841331, 2.838528, 2.831075, 2.821573, 2.810318, 
    2.795665, 2.778609, 2.760803, 2.742998, 2.725842, 2.709089, 2.690783, 
    2.668978, 2.641072, 2.609166, 2.575512, 2.539057, 2.493402, 2.441348, 
    2.391491, 2.346535, 2.303731, 2.268378, 2.241225, 2.220022, 2.20317, 
    2.19322, 2.18972, 2.189368, 2.189218, 2.189218, 2.189469, 2.19112, 
    2.196569, 2.215268, 2.250973, 2.316085, 2.442661, 2.634348, 2.865091, 
    3.13784, 3.471251, 3.832371, 4.150599, 4.422261, 4.671159, 4.906652, 
    3.835082, 0.7927157, 0, 0, 0, 0, 0.2391298, 2.383353, 2.362052, 2.36138, 
    2.36209, 2.359262, 2.356812, 2.360636, 2.371754, 2.394015, 2.411669, 
    2.418839, 2.411467, 2.397319, 2.37528, 2.349752, 2.32138, 2.292966, 
    2.270206, 2.252346, 2.240287, 2.236126, 2.241921, 2.250164, 2.26081, 
    2.270806, 2.280401, 2.289995, 2.301339, 2.312881, 2.324125, 2.337116, 
    2.358599, 2.38553, 2.415059, 2.445992, 2.481824, 2.51926, 2.554749, 
    2.58569, 2.612382, 2.627482, 2.633235, 2.631289, 2.623293, 2.608247, 
    2.587498, 2.560104, 2.523315, 2.479486, 2.435308, 2.390429, 2.344205, 
    2.303479, 2.274898, 2.25926, 2.256408, 2.264144, 2.28262, 2.31019, 
    2.347015, 2.387848, 2.426788, 2.458053, 2.466509, 2.459935, 2.453513, 
    2.447798, 2.442641, 2.44382, 2.464334, 2.487959, 2.522026, 2.571366, 
    2.62045, 2.664631, 2.7057, 2.74127, 2.759645, 2.760172, 2.75134, 
    2.740525, 2.731514, 2.723906, 2.717797, 2.713441, 2.713738, 2.717186, 
    2.72434, 2.733942, 2.744996, 2.75815, 2.774856, 2.793562, 2.811767, 
    2.828573, 2.84628, 2.863535, 2.878541, 2.892847, 2.907802, 2.922309, 
    2.934066, 2.937809, 2.93218, 2.900153, 2.854321, 2.792389, 2.722409, 
    2.646869, 2.571323, 2.495074, 2.425081, 2.389621, 2.39511, 2.443262, 
    2.51639, 2.592825, 2.667624, 2.744872, 2.827366, 2.901157, 2.947403, 
    2.9751, 2.973994, 2.961698, 2.941611, 2.918373, 2.891787, 2.863947, 
    2.837909, 2.811172, 2.781933, 2.752548, 2.727457, 2.707263, 2.689128, 
    2.673996, 2.662518, 2.65314, 2.646214, 2.642289, 2.642606, 2.647111, 
    2.657792, 2.672759, 2.693762, 2.726311, 2.767553, 2.81134, 2.853532, 
    2.895378, 2.938933, 2.976603, 3.000383, 3.009824, 2.997736, 2.976005, 
    2.943184, 2.884827, 2.799224, 2.704274, 2.624618, 2.56701, 2.532355, 
    2.514181, 2.500749, 2.492895, 2.501723, 2.487153, 2.458937, 2.41392, 
    2.344251, 2.254181, 2.171086, 2.096401, 2.048425, 2.027106, 2.057738, 
    2.117773, 2.202461, 2.289057, 2.368713, 2.439643, 2.506329, 2.553762, 
    2.581602, 2.582148, 1.280151, 0.3640476, 1.195822, 1.954305, 2.226077, 
    2.163605, 2.124878, 2.099093, 2.090049, 2.103328,
  2.052795, 2.073786, 2.12017, 2.173812, 2.226507, 2.280604, 2.340201, 
    2.393002, 2.435504, 2.471704, 2.504355, 2.530354, 2.548505, 2.560356, 
    2.567256, 2.567756, 2.567756, 2.567756, 2.567756, 2.567756, 2.567756, 
    2.567756, 2.569906, 2.574758, 2.581509, 2.590363, 2.602865, 2.61782, 
    2.634773, 2.65383, 2.676586, 2.697292, 2.714297, 2.728851, 2.741704, 
    2.752257, 2.758308, 2.759808, 2.756458, 2.747755, 2.737053, 2.72425, 
    2.707595, 2.687989, 2.667784, 2.647227, 2.627421, 2.608968, 2.588513, 
    2.564911, 2.535058, 2.501356, 2.466756, 2.429004, 2.381903, 2.328551, 
    2.277502, 2.231354, 2.187753, 2.151904, 2.124256, 2.102204, 2.085205, 
    2.075256, 2.071756, 2.071407, 2.071258, 2.071258, 2.071507, 2.073156, 
    2.078505, 2.096303, 2.133002, 2.20226, 2.338828, 2.544403, 2.792336, 
    3.084725, 3.442522, 3.832983, 4.183799, 4.488082, 4.760036, 5.014778, 
    3.882887, 0.7857067, 0, 0, 0, 0, 0.122314, 1.219705, 1.854004, 2.497725, 
    2.503186, 2.506993, 2.505096, 2.500032, 2.496247, 2.500959, 2.497712, 
    2.487113, 2.462007, 2.425657, 2.38652, 2.34774, 2.308614, 2.272946, 
    2.244681, 2.222371, 2.205811, 2.198005, 2.201149, 2.206744, 2.215289, 
    2.223334, 2.231131, 2.238577, 2.24687, 2.255464, 2.262854, 2.27094, 
    2.284573, 2.302753, 2.323535, 2.346417, 2.374449, 2.405887, 2.436225, 
    2.463418, 2.487615, 2.503116, 2.510219, 2.510324, 2.503777, 2.490029, 
    2.470483, 2.444985, 2.412995, 2.37721, 2.34228, 2.307352, 2.272578, 
    2.24235, 2.222118, 2.210977, 2.208178, 2.211975, 2.222865, 2.240751, 
    2.268235, 2.302523, 2.337315, 2.371764, 2.402105, 2.428827, 2.456751, 
    2.486776, 2.519853, 2.552464, 2.588721, 2.618674, 2.644469, 2.670576, 
    2.690111, 2.702992, 2.708615, 2.708135, 2.698083, 2.678616, 2.658448, 
    2.64038, 2.625767, 2.613605, 2.603345, 2.595837, 2.594483, 2.597332, 
    2.605282, 2.615885, 2.628738, 2.643692, 2.662847, 2.684153, 2.705009, 
    2.724465, 2.744719, 2.764274, 2.782031, 2.799087, 2.816343, 2.833547, 
    2.848304, 2.86306, 2.876625, 2.875389, 2.859203, 2.826566, 2.786026, 
    2.736733, 2.684683, 2.631233, 2.574936, 2.545874, 2.540286, 2.561264, 
    2.602093, 2.651036, 2.703035, 2.757486, 2.81478, 2.863076, 2.885323, 
    2.897456, 2.896765, 2.886419, 2.869068, 2.847514, 2.822206, 2.795651, 
    2.770795, 2.74559, 2.717334, 2.689476, 2.665522, 2.646119, 2.630567, 
    2.619969, 2.61352, 2.610225, 2.610032, 2.61364, 2.619799, 2.62771, 
    2.636319, 2.644922, 2.65507, 2.672905, 2.696886, 2.722266, 2.746745, 
    2.771924, 2.799649, 2.824572, 2.839151, 2.846048, 2.839812, 2.82628, 
    2.806459, 2.76705, 2.702797, 2.630046, 2.570893, 2.532737, 2.514967, 
    2.50764, 2.501002, 2.491549, 2.491632, 2.467058, 2.430186, 2.376162, 
    2.293323, 2.188177, 2.086037, 1.996858, 1.938086, 1.908619, 1.931954, 
    1.986444, 2.06754, 2.157459, 2.244485, 2.329417, 2.411902, 2.476293, 
    2.523138, 2.544785, 1.270407, 0, 0, 1.59883, 2.215976, 2.141394, 
    2.088207, 2.044463, 2.014313, 2.014326,
  1.963823, 1.980966, 2.01985, 2.067933, 2.117526, 2.169218, 2.226762, 
    2.278206, 2.32, 2.355498, 2.387745, 2.412692, 2.43049, 2.442339, 
    2.449239, 2.449739, 2.449739, 2.449739, 2.449739, 2.449739, 2.449739, 
    2.449739, 2.451939, 2.457389, 2.464992, 2.475394, 2.488997, 2.506253, 
    2.525007, 2.546561, 2.572116, 2.595723, 2.614777, 2.63103, 2.645635, 
    2.657387, 2.664038, 2.665789, 2.661937, 2.652436, 2.640283, 2.626029, 
    2.607125, 2.585221, 2.562264, 2.538959, 2.516454, 2.495999, 2.474247, 
    2.449696, 2.419045, 2.384996, 2.350998, 2.313501, 2.267406, 2.215363, 
    2.165517, 2.120571, 2.078678, 2.043581, 2.016783, 1.995237, 1.979139, 
    1.96944, 1.966291, 1.96594, 1.965789, 1.965789, 1.96604, 1.96734, 
    1.972489, 1.989237, 2.025034, 2.096888, 2.240099, 2.456269, 2.717091, 
    3.025522, 3.404214, 3.820614, 4.202532, 4.535071, 4.824442, 5.093462, 
    3.985806, 2.802459, 0.2829874, 0, 0, 0, 0, 0, 1.310107, 2.624069, 
    2.635835, 2.643344, 2.643249, 2.636857, 2.625056, 2.612922, 2.590688, 
    2.559698, 2.512861, 2.454165, 2.397779, 2.344195, 2.291865, 2.24634, 
    2.210422, 2.182558, 2.161901, 2.150944, 2.150133, 2.152122, 2.156761, 
    2.160899, 2.165338, 2.169428, 2.173819, 2.178356, 2.1818, 2.185595, 
    2.193487, 2.205078, 2.219519, 2.236763, 2.258554, 2.284693, 2.310486, 
    2.334881, 2.357327, 2.373277, 2.381228, 2.382528, 2.37728, 2.364835, 
    2.346737, 2.323042, 2.295049, 2.265009, 2.238275, 2.213646, 2.190019, 
    2.17009, 2.157104, 2.149008, 2.147512, 2.15021, 2.157606, 2.170598, 
    2.191838, 2.220978, 2.253074, 2.289383, 2.333049, 2.38102, 2.43064, 
    2.482359, 2.537528, 2.58694, 2.626196, 2.657398, 2.681395, 2.695134, 
    2.696922, 2.689955, 2.673486, 2.650066, 2.623597, 2.595376, 2.566408, 
    2.539588, 2.518272, 2.500109, 2.484446, 2.473238, 2.469481, 2.471328, 
    2.478475, 2.490177, 2.504479, 2.521233, 2.542839, 2.566744, 2.590249, 
    2.612355, 2.635212, 2.657367, 2.677521, 2.696975, 2.717233, 2.736788, 
    2.754545, 2.772301, 2.790656, 2.806166, 2.811846, 2.806702, 2.79376, 
    2.769962, 2.741061, 2.710409, 2.676301, 2.654345, 2.636631, 2.630435, 
    2.638868, 2.660709, 2.689912, 2.721915, 2.754212, 2.781075, 2.793534, 
    2.80319, 2.806148, 2.797902, 2.780051, 2.756597, 2.728241, 2.698884, 
    2.671028, 2.643172, 2.611814, 2.580858, 2.554753, 2.534251, 2.518653, 
    2.509257, 2.504513, 2.503969, 2.508031, 2.516343, 2.527304, 2.540014, 
    2.552773, 2.564533, 2.575087, 2.587729, 2.603312, 2.619041, 2.634022, 
    2.648999, 2.665124, 2.679104, 2.687699, 2.693145, 2.692405, 2.686419, 
    2.676986, 2.654267, 2.611812, 2.561309, 2.521394, 2.49932, 2.494596, 
    2.499425, 2.500747, 2.497526, 2.491918, 2.455743, 2.406462, 1.530235, 
    2.118438, 2.105769, 1.984026, 1.879791, 1.810768, 1.774456, 1.792197, 
    1.844597, 1.928112, 2.027835, 2.127262, 2.226692, 2.327034, 2.411277, 
    2.47842, 2.521765, 2.402682, 0.8793899, 0, 0.7995169, 1.215729, 2.150243, 
    2.078751, 2.014256, 1.960756, 1.942113,
  1.882339, 1.895982, 1.927819, 1.968756, 2.013794, 2.060933, 2.114272, 
    2.161812, 2.200254, 2.233095, 2.262838, 2.286234, 2.302229, 2.312976, 
    2.319273, 2.319723, 2.319723, 2.319723, 2.319723, 2.319723, 2.319723, 
    2.319723, 2.321923, 2.327674, 2.336476, 2.347727, 2.362981, 2.382335, 
    2.40324, 2.426944, 2.4551, 2.481304, 2.502509, 2.520563, 2.537066, 
    2.550019, 2.557521, 2.559772, 2.55497, 2.544617, 2.531015, 2.514961, 
    2.494057, 2.469601, 2.444248, 2.418543, 2.393889, 2.371336, 2.348984, 
    2.324185, 2.294088, 2.261292, 2.228997, 2.194255, 2.151464, 2.103272, 
    2.057033, 2.015343, 1.976649, 1.944057, 1.919313, 1.899818, 1.885121, 
    1.876123, 1.873323, 1.872623, 1.872323, 1.872323, 1.872823, 1.874023, 
    1.878521, 1.894168, 1.928566, 2.001466, 2.148823, 2.372233, 2.642349, 
    2.962869, 3.358347, 3.79739, 4.209749, 4.559431, 4.857846, 5.135212, 
    5.376325, 3.606647, 0.2806534, 0, 0, 0, 0, 0, 0.665033, 2.281703, 
    2.704955, 2.71827, 2.725847, 2.726066, 2.71758, 2.698534, 2.667632, 
    2.624822, 2.564554, 2.489732, 2.4168, 2.344556, 2.274062, 2.213324, 
    2.166145, 2.129121, 2.102052, 2.087043, 2.081835, 2.08013, 2.080775, 
    2.081472, 2.082319, 2.083517, 2.084763, 2.08576, 2.086807, 2.088553, 
    2.093498, 2.101693, 2.112537, 2.126179, 2.144022, 2.165814, 2.187756, 
    2.209349, 2.229896, 2.244791, 2.252739, 2.254391, 2.249842, 2.238643, 
    2.222248, 2.201304, 2.177564, 2.152375, 2.131784, 2.114343, 2.098503, 
    2.086063, 2.077819, 2.072375, 2.071875, 2.074176, 2.081078, 2.092529, 
    2.112835, 2.141644, 2.175605, 2.217268, 2.269236, 2.327307, 2.386176, 
    2.446441, 2.509355, 2.563563, 2.604965, 2.636214, 2.658159, 2.666949, 
    2.663188, 2.648924, 2.623456, 2.590185, 2.554617, 2.517651, 2.478929, 
    2.442661, 2.413292, 2.387776, 2.36511, 2.348697, 2.341238, 2.340781, 
    2.346579, 2.358177, 2.372977, 2.391279, 2.414932, 2.441839, 2.467493, 
    2.492098, 2.517752, 2.542959, 2.565264, 2.586869, 2.610174, 2.63238, 
    2.652784, 2.673541, 2.694697, 2.713702, 2.727556, 2.735807, 2.735, 
    2.721492, 2.701782, 2.679973, 2.653764, 2.627251, 2.60324, 2.583428, 
    2.575225, 2.583577, 2.603735, 2.626694, 2.649555, 2.669614, 2.686021, 
    2.69928, 2.705988, 2.69939, 2.681039, 2.655685, 2.624178, 2.59112, 
    2.560264, 2.529056, 2.494299, 2.460242, 2.43224, 2.41124, 2.396692, 
    2.389498, 2.388256, 2.391566, 2.401077, 2.415841, 2.432805, 2.451168, 
    2.468779, 2.484637, 2.497592, 2.509145, 2.521197, 2.531897, 2.541343, 
    2.55009, 2.559286, 2.567632, 2.573827, 2.577222, 2.577567, 2.574114, 
    2.568062, 2.555724, 2.529898, 2.496723, 2.471398, 2.462528, 2.472261, 
    2.492295, 2.505773, 2.515397, 2.509052, 2.462785, 1.805099, 0.3542029, 
    1.083643, 2.015407, 1.87176, 1.75193, 1.675472, 1.63587, 1.652223, 
    1.706731, 1.797798, 1.908069, 2.01929, 2.132618, 2.251152, 2.355441, 
    2.44218, 2.506873, 2.532216, 2.132645, 1.234503, 0.367188, 0.2195057, 
    2.172248, 2.082012, 1.997022, 1.920477, 1.881435,
  1.80987, 1.820014, 1.845351, 1.879788, 1.918825, 1.960314, 2.0074, 
    2.049789, 2.084031, 2.113024, 2.139468, 2.160663, 2.174509, 2.183807, 
    2.188905, 2.189255, 2.189255, 2.189255, 2.189255, 2.189255, 2.189255, 
    2.189606, 2.191957, 2.197706, 2.206754, 2.218606, 2.234957, 2.255006, 
    2.276754, 2.301655, 2.331105, 2.358606, 2.381005, 2.400256, 2.417506, 
    2.430805, 2.439005, 2.441254, 2.436356, 2.425105, 2.411256, 2.394256, 
    2.372055, 2.346306, 2.319754, 2.292855, 2.267405, 2.244356, 2.222007, 
    2.19791, 2.169664, 2.13942, 2.109776, 2.078732, 2.040542, 1.997504, 
    1.956313, 1.919323, 1.884231, 1.855489, 1.833594, 1.816248, 1.803151, 
    1.795303, 1.792604, 1.792004, 1.791855, 1.791855, 1.792104, 1.793053, 
    1.796952, 1.810748, 1.843594, 1.916343, 2.065443, 2.292598, 2.568857, 
    2.89762, 3.304688, 3.762923, 4.202724, 4.572522, 4.880293, 5.164053, 
    5.410312, 1.652869, 0, 0, 0, 0, 0, 0, 0.6789068, 1.34898, 2.595218, 
    2.753621, 2.776104, 2.787028, 2.785441, 2.769549, 2.737647, 2.689988, 
    2.620972, 2.535701, 2.447573, 2.353479, 2.260333, 2.180294, 2.117661, 
    2.068336, 2.031817, 2.010852, 2.001343, 1.997088, 1.995785, 1.994681, 
    1.994078, 1.993824, 1.993321, 1.992969, 1.992817, 1.993366, 1.996965, 
    2.003263, 2.01206, 2.022958, 2.038455, 2.0571, 2.075796, 2.094491, 
    2.113388, 2.126385, 2.133282, 2.135282, 2.130982, 2.121136, 2.106539, 
    2.088093, 2.068148, 2.047455, 2.030811, 2.016968, 2.005023, 1.996178, 
    1.990582, 1.987435, 1.987487, 1.990841, 1.998843, 2.012099, 2.03686, 
    2.071776, 2.1144, 2.165423, 2.229805, 2.300434, 2.368753, 2.437069, 
    2.50583, 2.563586, 2.605284, 2.634026, 2.651513, 2.653346, 2.64298, 
    2.621766, 2.587951, 2.545485, 2.500667, 2.454445, 2.405074, 2.358803, 
    2.319833, 2.285765, 2.254798, 2.231885, 2.219776, 2.215718, 2.219613, 
    2.22991, 2.244007, 2.262656, 2.287006, 2.315154, 2.342005, 2.367805, 
    2.394806, 2.421907, 2.44626, 2.469914, 2.495216, 2.519971, 2.542776, 
    2.566281, 2.590587, 2.61164, 2.626792, 2.63494, 2.631436, 2.613928, 
    2.589519, 2.562659, 2.531197, 2.498886, 2.469476, 2.44532, 2.435416, 
    2.44532, 2.468976, 2.496486, 2.524495, 2.549155, 2.569513, 2.587072, 
    2.596926, 2.592031, 2.573531, 2.546629, 2.511773, 2.475869, 2.442515, 
    2.408813, 2.371359, 2.335458, 2.307009, 2.286612, 2.27472, 2.271078, 
    2.274539, 2.283251, 2.299215, 2.321681, 2.345847, 2.370709, 2.394172, 
    2.413779, 2.429133, 2.442035, 2.454184, 2.463981, 2.471376, 2.477369, 
    2.48331, 2.488401, 2.491594, 2.491987, 2.489631, 2.484176, 2.477074, 
    2.467875, 2.451087, 2.430061, 2.417135, 2.422061, 2.446235, 2.480258, 
    2.504975, 2.523737, 2.520245, 2.465276, 1.211978, 0, 0.194927, 1.907262, 
    1.744733, 1.615123, 1.539986, 1.503952, 1.525017, 1.584931, 1.682541, 
    1.802006, 1.923325, 2.049198, 2.183779, 2.30566, 2.409941, 2.493574, 
    2.538459, 2.520638, 2.474059, 0.7362189, 0.1100161, 1.409268, 2.086004, 
    1.98232, 1.885082, 1.826897,
  1.749898, 1.756892, 1.775429, 1.803166, 1.835854, 1.871693, 1.912081, 
    1.949121, 1.979063, 2.004456, 2.027549, 2.046244, 2.058542, 2.06664, 
    2.07099, 2.07129, 2.07129, 2.07129, 2.07129, 2.07129, 2.07129, 2.071638, 
    2.073988, 2.079437, 2.087535, 2.099133, 2.11493, 2.133726, 2.154272, 
    2.177968, 2.206163, 2.232658, 2.253753, 2.2724, 2.288546, 2.301295, 
    2.309244, 2.311244, 2.306794, 2.295746, 2.282748, 2.266601, 2.245155, 
    2.22096, 2.195265, 2.169569, 2.145424, 2.123677, 2.102782, 2.080487, 
    2.055143, 2.027849, 2.001806, 1.974364, 1.941124, 1.903884, 1.867594, 
    1.835152, 1.804661, 1.779266, 1.760122, 1.745178, 1.73363, 1.72648, 
    1.724131, 1.723882, 1.723882, 1.723882, 1.723882, 1.724582, 1.72788, 
    1.739677, 1.770624, 1.841819, 1.989563, 2.21706, 2.495611, 2.828764, 
    3.243827, 3.714692, 4.176426, 4.570622, 4.89642, 5.186885, 5.438296, 
    1.661865, 0, 0, 0, 0, 0, 0, 0.673685, 0.404211, 1.373395, 2.804073, 
    2.843906, 2.865524, 2.870335, 2.857238, 2.824437, 2.772379, 2.694963, 
    2.597888, 2.490091, 2.373548, 2.256603, 2.155811, 2.076179, 2.013352, 
    1.965979, 1.937163, 1.923356, 1.916551, 1.913849, 1.91205, 1.910599, 
    1.909148, 1.907848, 1.906848, 1.906348, 1.906197, 1.909396, 1.914494, 
    1.922092, 1.931789, 1.945435, 1.96153, 1.978076, 1.994623, 2.011418, 
    2.022614, 2.028563, 2.030312, 2.026564, 2.018115, 2.00532, 1.989024, 
    1.971278, 1.953732, 1.939837, 1.92839, 1.918543, 1.911495, 1.907346, 
    1.905298, 1.9066, 1.912456, 1.923114, 1.941478, 1.975552, 2.022784, 
    2.079464, 2.145247, 2.226782, 2.313314, 2.392838, 2.468852, 2.542159, 
    2.600204, 2.638844, 2.662432, 2.672015, 2.664647, 2.645278, 2.616111, 
    2.574446, 2.523429, 2.469462, 2.413044, 2.35217, 2.294648, 2.245128, 
    2.201207, 2.160939, 2.130573, 2.113061, 2.104301, 2.104693, 2.112637, 
    2.125535, 2.142981, 2.166026, 2.192873, 2.218769, 2.243615, 2.270263, 
    2.29676, 2.321006, 2.345255, 2.371757, 2.39841, 2.423012, 2.448666, 
    2.475569, 2.498925, 2.515027, 2.522375, 2.516822, 2.496017, 2.467259, 
    2.43535, 2.39819, 2.359878, 2.325469, 2.298413, 2.287112, 2.298262, 
    2.324718, 2.357126, 2.390086, 2.420197, 2.444504, 2.46566, 2.478316, 
    2.474817, 2.456769, 2.428566, 2.391764, 2.354061, 2.319761, 2.285461, 
    2.247915, 2.212617, 2.185271, 2.167378, 2.160288, 2.162602, 2.172065, 
    2.18783, 2.212298, 2.243818, 2.276133, 2.308098, 2.33801, 2.361418, 
    2.37842, 2.391569, 2.402215, 2.409609, 2.413399, 2.41509, 2.415377, 
    2.415216, 2.414107, 2.410549, 2.404691, 2.396886, 2.388835, 2.380789, 
    2.370752, 2.359467, 2.356632, 2.371996, 2.40611, 2.448521, 2.47993, 
    2.503285, 2.498925, 2.431847, 1.748046, 1.064422, 1.056578, 1.777538, 
    1.605982, 1.477144, 1.412922, 1.387899, 1.418822, 1.485785, 1.587743, 
    1.7132, 1.842111, 1.978729, 2.127404, 2.264782, 2.383707, 2.482684, 
    2.543912, 2.541743, 2.505813, 1.605065, 1.183974, 1.435604, 1.578328, 
    1.661617, 1.85179, 1.777864,
  1.702425, 1.706268, 1.718007, 1.738894, 1.765132, 1.795221, 1.829611, 
    1.8611, 1.886843, 1.908736, 1.92818, 1.944325, 1.955072, 1.961969, 
    1.965567, 1.965817, 1.965817, 1.965817, 1.965817, 1.965817, 1.965817, 
    1.966168, 1.968067, 1.973317, 1.980566, 1.990964, 2.00496, 2.021807, 
    2.040553, 2.061749, 2.087193, 2.111239, 2.130286, 2.146881, 2.161179, 
    2.173026, 2.180024, 2.181773, 2.177875, 2.167927, 2.156029, 2.141683, 
    2.122638, 2.100591, 2.077295, 2.054351, 2.032454, 2.012809, 1.994313, 
    1.974418, 1.952173, 1.92828, 1.906086, 1.882844, 1.854202, 1.822261, 
    1.791121, 1.763481, 1.737588, 1.715545, 1.69915, 1.686252, 1.676556, 
    1.670159, 1.668159, 1.667909, 1.667908, 1.667908, 1.667908, 1.668609, 
    1.671358, 1.681605, 1.709899, 1.77739, 1.921031, 2.14447, 2.421363, 
    2.75461, 3.172909, 3.649767, 4.123127, 4.537355, 4.888151, 5.185812, 
    5.443474, 3.680248, 0.2880006, 0, 0, 0, 0, 0, 0, 0, 0.2847597, 2.863499, 
    2.913604, 2.940958, 2.951468, 2.940624, 2.907374, 2.850313, 2.763845, 
    2.654324, 2.529306, 2.39729, 2.264125, 2.142489, 2.045958, 1.968681, 
    1.909711, 1.872847, 1.854637, 1.845182, 1.840979, 1.839077, 1.837628, 
    1.835828, 1.834377, 1.833227, 1.832626, 1.832377, 1.834926, 1.839225, 
    1.845623, 1.853769, 1.865015, 1.878962, 1.893357, 1.907753, 1.921998, 
    1.931496, 1.936844, 1.938344, 1.935094, 1.927597, 1.91685, 1.902954, 
    1.887359, 1.872213, 1.860366, 1.850971, 1.842574, 1.836826, 1.833377, 
    1.832029, 1.835183, 1.844189, 1.860401, 1.888173, 1.937806, 2.003694, 
    2.077778, 2.161663, 2.261847, 2.364475, 2.451379, 2.531632, 2.606179, 
    2.659366, 2.691853, 2.708589, 2.709023, 2.691905, 2.664795, 2.631044, 
    2.584239, 2.524875, 2.46226, 2.396142, 2.32317, 2.252845, 2.191923, 
    2.136952, 2.086483, 2.046814, 2.02235, 2.008039, 2.00378, 2.008073, 
    2.018817, 2.034112, 2.055059, 2.079805, 2.1033, 2.126096, 2.15034, 
    2.174835, 2.197533, 2.220579, 2.246726, 2.273073, 2.298273, 2.324873, 
    2.352623, 2.377071, 2.39352, 2.400169, 2.392766, 2.369261, 2.337006, 
    2.300548, 2.258188, 2.214681, 2.176225, 2.146521, 2.13462, 2.146221, 
    2.174975, 2.211431, 2.24954, 2.284246, 2.312755, 2.337061, 2.352615, 
    2.350269, 2.333522, 2.304873, 2.268225, 2.230729, 2.197031, 2.163685, 
    2.127938, 2.094743, 2.070301, 2.056709, 2.055421, 2.065084, 2.082099, 
    2.106466, 2.140885, 2.182754, 2.223921, 2.262983, 2.298491, 2.32605, 
    2.344452, 2.357252, 2.365598, 2.368437, 2.366927, 2.362965, 2.357406, 
    2.351395, 2.345135, 2.337127, 2.326869, 2.316463, 2.307863, 2.301364, 
    2.295768, 2.290125, 2.293383, 2.313085, 2.350483, 2.39478, 2.426874, 
    2.447408, 2.435591, 2.35251, 2.227288, 2.059025, 1.857632, 1.656259, 
    1.493095, 1.379991, 1.332977, 1.322705, 1.364723, 1.436829, 1.537367, 
    1.660351, 1.788438, 1.927378, 2.084385, 2.235658, 2.365474, 2.474988, 
    2.547903, 2.557567, 2.531031, 2.474393, 2.372198, 1.909199, 0.5347848, 
    0.6730268, 1.729261, 1.739593,
  1.665442, 1.666488, 1.672479, 1.686768, 1.706657, 1.730747, 1.759185, 
    1.785427, 1.806618, 1.825012, 1.841257, 1.854752, 1.863599, 1.869648, 
    1.872196, 1.872346, 1.872346, 1.872346, 1.872346, 1.872346, 1.872346, 
    1.873046, 1.874596, 1.879345, 1.886094, 1.89494, 1.907489, 1.922737, 
    1.939332, 1.958028, 1.980673, 2.001817, 2.019064, 2.03351, 2.046609, 
    2.056755, 2.063055, 2.064806, 2.061004, 2.052407, 2.041809, 2.029112, 
    2.012165, 1.99237, 1.971825, 1.951629, 1.932034, 1.914788, 1.898341, 
    1.881196, 1.861802, 1.841709, 1.822864, 1.803319, 1.77968, 1.752788, 
    1.727148, 1.704306, 1.682613, 1.66432, 1.650675, 1.63983, 1.631631, 
    1.626835, 1.624935, 1.624435, 1.624434, 1.624435, 1.624435, 1.625135, 
    1.627333, 1.63588, 1.660673, 1.722913, 1.859497, 2.075331, 2.346367, 
    2.676208, 3.092602, 3.570198, 4.050613, 4.482749, 4.855482, 5.157988, 
    5.420694, 3.659637, 0.2859361, 0, 0, 0, 0, 0, 0, 0, 0.1431923, 1.440143, 
    1.465802, 1.479952, 2.865584, 3.009926, 2.975622, 2.911908, 2.815792, 
    2.696076, 2.562814, 2.423604, 2.283042, 2.142812, 2.029984, 1.938861, 
    1.86849, 1.823877, 1.800668, 1.787961, 1.781557, 1.778454, 1.776903, 
    1.775354, 1.773905, 1.772755, 1.772156, 1.771905, 1.773503, 1.777101, 
    1.782399, 1.789098, 1.798094, 1.809889, 1.821885, 1.833881, 1.845627, 
    1.853724, 1.858122, 1.859371, 1.856673, 1.850425, 1.841378, 1.829882, 
    1.816887, 1.804191, 1.794396, 1.786698, 1.780001, 1.775152, 1.772654, 
    1.772607, 1.778764, 1.792374, 1.818698, 1.863236, 1.93433, 2.021569, 
    2.114602, 2.216734, 2.334814, 2.44662, 2.535673, 2.613161, 2.679484, 
    2.721959, 2.745088, 2.752469, 2.743853, 2.717688, 2.687788, 2.653688, 
    2.604985, 2.54038, 2.472025, 2.399821, 2.318813, 2.235893, 2.162972, 
    2.09635, 2.034128, 1.98426, 1.951896, 1.931083, 1.92047, 1.920211, 
    1.927353, 1.939747, 1.958091, 1.980086, 2.00058, 2.020373, 2.04182, 
    2.063263, 2.083556, 2.104201, 2.127745, 2.15164, 2.175284, 2.20068, 
    2.227076, 2.249922, 2.265269, 2.270464, 2.261713, 2.236311, 2.201507, 
    2.161452, 2.115247, 2.068292, 2.027239, 1.996338, 1.98454, 1.996038, 
    2.02599, 2.065043, 2.107048, 2.145655, 2.178262, 2.205616, 2.223169, 
    2.223224, 2.208277, 2.181784, 2.14734, 2.112847, 2.081553, 2.050608, 
    2.017966, 1.988023, 1.967329, 1.958888, 1.96405, 1.981565, 2.007131, 
    2.041099, 2.08687, 2.140142, 2.190708, 2.235668, 2.275976, 2.307182, 
    2.326984, 2.339433, 2.344977, 2.342318, 2.333703, 2.323342, 2.312381, 
    2.300571, 2.288912, 2.276203, 2.261496, 2.24819, 2.23939, 2.234093, 
    2.230396, 2.227901, 2.23315, 2.251343, 2.28448, 2.324217, 2.34985, 
    2.356917, 2.219843, 1.460743, 1.605013, 0.9953207, 1.647469, 1.558288, 
    1.419891, 1.334344, 1.312297, 1.320185, 1.368539, 1.440332, 1.533368, 
    1.646799, 1.767486, 1.902531, 2.061832, 2.220386, 2.355238, 2.470847, 
    2.550857, 2.567218, 2.547026, 2.495684, 2.394282, 1.927919, 0.5444168, 0, 
    0.894785, 1.711807,
  1.637461, 1.636056, 1.637349, 1.645438, 1.65993, 1.678622, 1.700862, 
    1.722253, 1.738896, 1.753439, 1.766734, 1.777328, 1.784626, 1.789473, 
    1.791724, 1.791874, 1.791874, 1.791874, 1.791874, 1.791874, 1.791874, 
    1.792223, 1.793572, 1.797722, 1.80362, 1.811269, 1.822465, 1.835811, 
    1.850359, 1.866655, 1.88665, 1.904746, 1.919842, 1.932489, 1.944135, 
    1.952984, 1.958582, 1.960331, 1.956633, 1.949235, 1.939836, 1.928689, 
    1.913743, 1.896648, 1.878852, 1.861056, 1.84401, 1.828763, 1.814618, 
    1.800473, 1.783927, 1.767634, 1.75214, 1.736297, 1.717655, 1.695813, 
    1.675672, 1.65728, 1.640089, 1.625445, 1.614449, 1.605902, 1.599155, 
    1.595506, 1.593957, 1.593457, 1.593457, 1.593457, 1.593457, 1.594157, 
    1.595757, 1.602003, 1.622945, 1.678884, 1.805465, 2.010443, 2.272376, 
    2.594508, 3.005044, 3.47728, 3.959823, 4.398963, 4.787384, 5.093139, 
    5.358843, 1.639903, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.369465, 
    1.984044, 3.04236, 2.970997, 2.865381, 2.737417, 2.597807, 2.453299, 
    2.308044, 2.156435, 2.02851, 1.924739, 1.843221, 1.790407, 1.761446, 
    1.744387, 1.73473, 1.730328, 1.728428, 1.727228, 1.725928, 1.724778, 
    1.724178, 1.723928, 1.724577, 1.727476, 1.731674, 1.736921, 1.744068, 
    1.753314, 1.763161, 1.773007, 1.782253, 1.789101, 1.79265, 1.793399, 
    1.791651, 1.786252, 1.778905, 1.769809, 1.758962, 1.748816, 1.741169, 
    1.734922, 1.729925, 1.725827, 1.724428, 1.726884, 1.736991, 1.759009, 
    1.802746, 1.870638, 1.968136, 2.078578, 2.191162, 2.311092, 2.44572, 
    2.561578, 2.650474, 2.718002, 2.767972, 2.793238, 2.802611, 2.797286, 
    2.776009, 2.741544, 2.711544, 2.677696, 2.628396, 2.561944, 2.491794, 
    2.41744, 2.333538, 2.243081, 2.158763, 2.080744, 2.006274, 1.945555, 
    1.90469, 1.876075, 1.858113, 1.852052, 1.854894, 1.863688, 1.878131, 
    1.896373, 1.913618, 1.929461, 1.947302, 1.964895, 1.981589, 1.998983, 
    2.018375, 2.038918, 2.059563, 2.082309, 2.106154, 2.126851, 2.140046, 
    2.143444, 2.133692, 2.10704, 2.070789, 2.029289, 1.981738, 1.933037, 
    1.891289, 1.860389, 1.848587, 1.860089, 1.890038, 1.930138, 1.97414, 
    2.015141, 2.050043, 2.079345, 2.098749, 2.101202, 2.088557, 2.065412, 
    2.034819, 2.003774, 1.97608, 1.948387, 1.919893, 1.893449, 1.876606, 
    1.873415, 1.885727, 1.912193, 1.947161, 1.991579, 2.04985, 2.115823, 
    2.176241, 2.226851, 2.27231, 2.306164, 2.327266, 2.338915, 2.340858, 
    2.331745, 2.313978, 2.296565, 2.279454, 2.261894, 2.245437, 2.22828, 
    2.209574, 2.19372, 2.184669, 2.179467, 2.176517, 2.175416, 2.179162, 
    2.191298, 2.214377, 2.2425, 1.702946, 1.148721, 1.020808, 0.3122818, 
    0.5204696, 0, 0.746347, 0.7537716, 1.026268, 1.322112, 1.321082, 
    1.345553, 1.395555, 1.462695, 1.547331, 1.651216, 1.764252, 1.895494, 
    2.054993, 2.215246, 2.349742, 2.466387, 2.546779, 2.567734, 2.551741, 
    2.504247, 2.402699, 2.256697, 1.084247, 0.6676182, 0.9815525, 1.690619,
  1.618475, 1.614973, 1.612267, 1.615411, 1.625203, 1.638844, 1.655386, 
    1.671226, 1.683919, 1.694864, 1.704758, 1.712554, 1.718401, 1.7218, 
    1.723748, 1.723898, 1.723898, 1.723898, 1.723898, 1.723898, 1.723898, 
    1.723898, 1.725048, 1.728596, 1.733646, 1.740444, 1.74954, 1.760887, 
    1.773634, 1.787781, 1.804725, 1.820321, 1.833368, 1.844316, 1.853812, 
    1.86186, 1.866609, 1.867859, 1.86511, 1.858411, 1.850364, 1.840916, 
    1.82822, 1.813273, 1.798128, 1.782982, 1.768035, 1.754889, 1.743393, 
    1.731897, 1.718503, 1.705909, 1.693915, 1.68192, 1.667778, 1.651538, 
    1.636446, 1.622754, 1.610061, 1.599217, 1.590972, 1.584125, 1.579077, 
    1.576179, 1.57523, 1.57498, 1.57498, 1.57498, 1.57498, 1.575329, 
    1.576578, 1.580274, 1.597218, 1.645655, 1.759882, 1.950657, 2.199631, 
    2.509859, 2.910389, 3.372168, 3.847803, 4.287414, 4.689689, 5.003109, 
    5.270611, 3.558683, 0.2778606, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.940083, 3.106354, 3.026589, 2.912477, 2.777567, 2.63281, 2.484555, 
    2.336651, 2.182, 2.044292, 1.928623, 1.836305, 1.773988, 1.737725, 
    1.715115, 1.701357, 1.694702, 1.6922, 1.690749, 1.689499, 1.688651, 
    1.6877, 1.687449, 1.687649, 1.690048, 1.692946, 1.696895, 1.702492, 
    1.709389, 1.717185, 1.724981, 1.732279, 1.737476, 1.740425, 1.740924, 
    1.739674, 1.735227, 1.72968, 1.722382, 1.713937, 1.70594, 1.700193, 
    1.695495, 1.691546, 1.688849, 1.688702, 1.694156, 1.708814, 1.742284, 
    1.808523, 1.902418, 2.029017, 2.166466, 2.301205, 2.439788, 2.590364, 
    2.711673, 2.799022, 2.854152, 2.884919, 2.888831, 2.878894, 2.856361, 
    2.816225, 2.767944, 2.73679, 2.703541, 2.654843, 2.588444, 2.518295, 
    2.443246, 2.358496, 2.265744, 2.176295, 2.090337, 2.004418, 1.933353, 
    1.883739, 1.846726, 1.821212, 1.808752, 1.806442, 1.810784, 1.820676, 
    1.834218, 1.846657, 1.857698, 1.869938, 1.88288, 1.895121, 1.908062, 
    1.922504, 1.939047, 1.956341, 1.976085, 1.997231, 2.015777, 2.027075, 
    2.029273, 2.017769, 1.989918, 1.953318, 1.911466, 1.863766, 1.815067, 
    1.773316, 1.742416, 1.730617, 1.742116, 1.772067, 1.812166, 1.857067, 
    1.898468, 1.93457, 1.965072, 1.986676, 1.990979, 1.981334, 1.961189, 
    1.934344, 1.907202, 1.882857, 1.858863, 1.833919, 1.811025, 1.798382, 
    1.800441, 1.820353, 1.856269, 1.901436, 1.956403, 2.027474, 2.107498, 
    2.177764, 2.234023, 2.28423, 2.321136, 2.343287, 2.353534, 2.351126, 
    2.333862, 2.305243, 2.28013, 2.258024, 2.235868, 2.215462, 2.194707, 
    2.172702, 2.15495, 2.144696, 2.138295, 2.134542, 2.133091, 2.135692, 
    2.142838, 2.156177, 2.170156, 1.085946, 0, 0, 0, 0, 0, 0, 0, 0.6732738, 
    1.340599, 1.346051, 1.377002, 1.425797, 1.486134, 1.560213, 1.651837, 
    1.754465, 1.879152, 2.036546, 2.196242, 2.328688, 2.442233, 2.51948, 
    2.545693, 2.535957, 2.493668, 2.394475, 1.924163, 1.046629, 1.630834, 
    1.780632, 1.675379,
  1.605483, 1.601283, 1.596231, 1.596027, 1.601721, 1.610564, 1.621856, 
    1.632198, 1.640941, 1.648636, 1.655332, 1.660477, 1.664173, 1.666471, 
    1.667821, 1.667921, 1.667921, 1.667921, 1.667921, 1.667921, 1.667921, 
    1.667921, 1.669021, 1.67197, 1.676168, 1.681767, 1.689114, 1.698812, 
    1.709408, 1.721404, 1.7353, 1.748396, 1.759392, 1.768288, 1.776337, 
    1.783085, 1.786883, 1.787883, 1.785683, 1.780236, 1.773388, 1.76549, 
    1.755194, 1.742398, 1.729902, 1.717406, 1.70461, 1.694014, 1.684667, 
    1.675671, 1.665525, 1.656331, 1.647937, 1.639543, 1.629849, 1.618906, 
    1.608965, 1.599722, 1.591078, 1.583984, 1.578738, 1.574193, 1.571047, 
    1.569349, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569498, 1.571045, 
    1.583738, 1.623724, 1.724202, 1.897973, 2.130145, 2.425318, 2.811442, 
    3.259368, 3.723546, 4.1678, 4.583619, 4.902718, 5.170818, 5.42142, 
    2.802957, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1641186, 2.109012, 3.169349, 
    3.080334, 2.959575, 2.82017, 2.672318, 2.522367, 2.373266, 2.218517, 
    2.07907, 1.955011, 1.850891, 1.777623, 1.732759, 1.702945, 1.683434, 
    1.672626, 1.668222, 1.66592, 1.66457, 1.66417, 1.66297, 1.66247, 1.66262, 
    1.664268, 1.666217, 1.669216, 1.673012, 1.677959, 1.683706, 1.689102, 
    1.694749, 1.698197, 1.700446, 1.700946, 1.699796, 1.696698, 1.6927, 
    1.687304, 1.681407, 1.675411, 1.671464, 1.668216, 1.665118, 1.663519, 
    1.664971, 1.673777, 1.69494, 1.744221, 1.834059, 1.955052, 2.112101, 
    2.280402, 2.441246, 2.602085, 2.764699, 2.891657, 2.977052, 3.020785, 
    3.031704, 3.011364, 2.97617, 2.928371, 2.860167, 2.796247, 2.763044, 
    2.731248, 2.684804, 2.620408, 2.551813, 2.477966, 2.39447, 2.302574, 
    2.214327, 2.123971, 2.028559, 1.948796, 1.891033, 1.846222, 1.812759, 
    1.792946, 1.784987, 1.783677, 1.788168, 1.795606, 1.801446, 1.805884, 
    1.811422, 1.817559, 1.824149, 1.83144, 1.840982, 1.852523, 1.866118, 
    1.882512, 1.900757, 1.917004, 1.926851, 1.927247, 1.914296, 1.886047, 
    1.851854, 1.812062, 1.767321, 1.72173, 1.682389, 1.652843, 1.641193, 
    1.652543, 1.681138, 1.718831, 1.761172, 1.800565, 1.834857, 1.863901, 
    1.886701, 1.893255, 1.88661, 1.869815, 1.846421, 1.823126, 1.802132, 
    1.781838, 1.760092, 1.7413, 1.732405, 1.739613, 1.766974, 1.812038, 
    1.866451, 1.931717, 2.015487, 2.108655, 2.188521, 2.249828, 2.304636, 
    2.34459, 2.367541, 2.37649, 2.369884, 2.344021, 2.302248, 2.268533, 
    2.243028, 2.217623, 2.194219, 2.170816, 2.146262, 2.126659, 2.114957, 
    2.107105, 2.101651, 2.099601, 2.101699, 1.372775, 1.063667, 1.067505, 
    0.5330548, 0, 0, 0, 0, 0, 0, 0, 0.689027, 1.372805, 1.379056, 1.409904, 
    1.454546, 1.506532, 1.568012, 1.643937, 1.732213, 1.845339, 1.992663, 
    2.144392, 2.270626, 2.378663, 2.452354, 2.481753, 2.479362, 2.444776, 
    2.242243, 0.7947724, 1.002978, 1.918818, 1.768981, 1.664435,
  1.596489, 1.591938, 1.586138, 1.583785, 1.586231, 1.591125, 1.59787, 
    1.603813, 1.608959, 1.613404, 1.6174, 1.620397, 1.622196, 1.623645, 
    1.624394, 1.624444, 1.624443, 1.624444, 1.624443, 1.624444, 1.624443, 
    1.624444, 1.625493, 1.627692, 1.63094, 1.635589, 1.641587, 1.649384, 
    1.657681, 1.667026, 1.678322, 1.688818, 1.697665, 1.704763, 1.71136, 
    1.716658, 1.719407, 1.720407, 1.718357, 1.714559, 1.708911, 1.702564, 
    1.694266, 1.68402, 1.673924, 1.663827, 1.654033, 1.645635, 1.638439, 
    1.631592, 1.624496, 1.61825, 1.613205, 1.608159, 1.602415, 1.595972, 
    1.590226, 1.584832, 1.580037, 1.576092, 1.573245, 1.570746, 1.569499, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569299, 
    1.577994, 1.609782, 1.696461, 1.852636, 2.066908, 2.344179, 2.71255, 
    3.143823, 3.592797, 4.038297, 4.465363, 4.786119, 5.052313, 5.302761, 
    4.98183, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1631002, 1.625319, 1.595361, 
    1.548654, 2.850245, 2.866524, 2.718326, 2.569078, 2.421232, 2.267635, 
    2.13059, 2.004743, 1.889879, 1.804109, 1.749041, 1.710076, 1.682161, 
    1.665601, 1.657745, 1.653741, 1.65199, 1.650838, 1.649989, 1.649489, 
    1.649539, 1.650137, 1.651235, 1.653034, 1.655082, 1.658229, 1.661474, 
    1.664721, 1.668368, 1.670917, 1.672216, 1.672465, 1.671866, 1.669868, 
    1.666969, 1.663722, 1.660026, 1.656731, 1.654233, 1.652434, 1.650586, 
    1.649838, 1.653242, 1.666449, 1.699623, 1.77046, 1.884347, 2.032188, 
    2.220235, 2.420935, 2.611533, 2.799328, 2.971293, 3.101244, 3.18359, 
    3.219031, 3.212256, 2.682895, 1.510122, 1.478718, 2.753411, 2.828403, 
    2.791544, 2.761697, 2.719755, 2.659312, 2.59432, 2.524078, 2.443934, 
    2.354838, 2.269344, 2.179301, 2.078045, 1.990533, 1.925573, 1.873562, 
    1.831799, 1.803686, 1.789024, 1.781365, 1.779103, 1.778841, 1.777228, 
    1.773515, 1.7705, 1.768789, 1.768677, 1.769617, 1.773457, 1.779499, 
    1.788892, 1.801435, 1.816831, 1.831078, 1.838875, 1.837222, 1.823972, 
    1.79828, 1.768887, 1.734245, 1.694903, 1.655262, 1.621421, 1.595628, 
    1.585132, 1.595478, 1.620171, 1.652562, 1.689304, 1.724046, 1.75389, 
    1.778834, 1.799978, 1.80823, 1.804133, 1.790939, 1.770993, 1.7514, 
    1.733654, 1.71696, 1.699117, 1.684072, 1.678677, 1.690434, 1.724544, 
    1.777504, 1.840217, 1.91483, 2.009494, 2.114011, 2.202523, 2.268279, 
    2.328037, 2.371544, 1.78945, 1.1909, 1.186713, 1.171659, 1.716719, 
    2.258938, 2.230082, 2.202179, 2.176726, 2.151625, 2.125724, 2.104522, 
    2.091971, 2.08292, 2.075768, 2.072816, 1.556388, 1.037754, 0.208134, 
    0.7312774, 0, 0, 0, 0, 0, 0, 0, 0, 0.3476845, 1.192498, 1.414856, 
    1.443852, 1.482792, 1.525577, 1.574257, 1.634032, 1.706708, 1.804584, 
    1.934757, 2.070278, 2.182601, 2.278476, 2.346116, 2.375768, 2.37682, 
    2.348476, 2.159134, 1.055565, 1.491008, 1.884928, 1.750863, 1.653531,
  1.589991, 1.585442, 1.579141, 1.575841, 1.576239, 1.578386, 1.581431, 
    1.584077, 1.586473, 1.588521, 1.590018, 1.591616, 1.592465, 1.593314, 
    1.593463, 1.593463, 1.593463, 1.593463, 1.593463, 1.593463, 1.593463, 
    1.593463, 1.594463, 1.595913, 1.598211, 1.601909, 1.606507, 1.611953, 
    1.618201, 1.625148, 1.633844, 1.64174, 1.648437, 1.653733, 1.658431, 
    1.662529, 1.664679, 1.665428, 1.663879, 1.66088, 1.656682, 1.652134, 
    1.645838, 1.638142, 1.630446, 1.622749, 1.615502, 1.609255, 1.604208, 
    1.599512, 1.595015, 1.591369, 1.588721, 1.586074, 1.583478, 1.580732, 
    1.577987, 1.57559, 1.573493, 1.571695, 1.570497, 1.569299, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.574997, 
    1.599888, 1.67367, 1.812293, 2.008416, 2.266488, 2.615057, 3.026827, 
    3.457798, 3.894021, 4.327525, 4.651578, 4.91302, 5.161166, 4.852785, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.739162, 2.916275, 2.771082, 
    2.62519, 2.480695, 2.330051, 2.196357, 2.073162, 1.954263, 1.855495, 
    1.787824, 1.737656, 1.69939, 1.675277, 1.662268, 1.654862, 1.651458, 
    1.648855, 1.648004, 1.647504, 1.647053, 1.647003, 1.647252, 1.647851, 
    1.648548, 1.649645, 1.650743, 1.652191, 1.653537, 1.655135, 1.655484, 
    1.655484, 1.655434, 1.654536, 1.652988, 1.651792, 1.650094, 1.649197, 
    1.648249, 1.647651, 1.647053, 1.647304, 1.653509, 1.674073, 1.725503, 
    1.821142, 1.96038, 2.136023, 2.355871, 2.589921, 2.812318, 3.02209, 
    3.199692, 3.330744, 3.412095, 3.442689, 3.245504, 1.141481, 0, 0, 
    1.309385, 1.418613, 1.398871, 1.384364, 2.616645, 2.702667, 2.643327, 
    2.578385, 2.503344, 2.418402, 2.336858, 2.251114, 2.150572, 2.057216, 
    1.986358, 1.927047, 1.876434, 1.840122, 1.817309, 1.802548, 1.792185, 
    1.783623, 1.773009, 1.759944, 1.747079, 1.736364, 1.728702, 1.722792, 
    1.719581, 1.719671, 1.724164, 1.732859, 1.745404, 1.757501, 1.763148, 
    1.760397, 1.7483, 1.727357, 1.702413, 1.673271, 1.639481, 1.605789, 
    1.577698, 1.556956, 1.54926, 1.556805, 1.576447, 1.60344, 1.634832, 
    1.664525, 1.690168, 1.710912, 1.728256, 1.736053, 1.733906, 1.72406, 
    1.708017, 1.692172, 1.677677, 1.664231, 1.650537, 1.638842, 1.636947, 
    1.652903, 1.69261, 1.75232, 1.822229, 1.904389, 2.0076, 2.12101, 
    2.214764, 2.285071, 2.349528, 2.397284, 1.208268, 0, 0, 0, 0.566079, 
    1.124132, 1.108827, 1.420175, 2.161478, 2.135427, 2.109176, 2.087376, 
    2.073975, 2.063723, 2.055271, 1.744269, 0.5137336, 0.7213207, 0.2068893, 
    0.7269043, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.008386, 1.45005, 1.475343, 
    1.507282, 1.540267, 1.575547, 1.619124, 1.67595, 1.756923, 1.868595, 
    1.984265, 2.078838, 2.158014, 2.215995, 2.243536, 2.244534, 2.218937, 
    2.153206, 2.048234, 1.937868, 1.828554, 1.720045, 1.638725,
  1.584493, 1.580644, 1.574646, 1.571045, 1.570494, 1.571343, 1.571991, 
    1.57264, 1.573238, 1.573836, 1.574036, 1.574484, 1.574734, 1.574983, 
    1.574983, 1.574983, 1.574983, 1.574983, 1.574983, 1.574983, 1.574983, 
    1.574983, 1.575532, 1.576631, 1.57798, 1.580378, 1.583476, 1.587024, 
    1.591221, 1.596118, 1.601913, 1.607159, 1.611456, 1.614704, 1.617952, 
    1.6209, 1.622449, 1.622949, 1.621899, 1.619701, 1.616702, 1.613704, 
    1.609858, 1.604761, 1.599715, 1.594318, 1.589473, 1.585225, 1.581977, 
    1.57943, 1.576632, 1.575184, 1.573986, 1.573138, 1.57249, 1.571842, 
    1.571244, 1.570645, 1.569997, 1.569499, 1.569249, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.573248, 
    1.59219, 1.653873, 1.774999, 1.95167, 2.189941, 2.516608, 2.906727, 
    3.317296, 3.741889, 4.179648, 4.504447, 4.760289, 5.004933, 4.709501, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.527919, 2.969077, 2.831341, 
    2.692204, 2.553213, 2.407472, 2.277627, 2.157932, 2.040535, 1.928766, 
    1.846595, 1.782624, 1.731603, 1.697988, 1.678278, 1.66592, 1.658613, 
    1.653909, 1.651756, 1.650655, 1.650005, 1.649504, 1.649254, 1.649003, 
    1.648552, 1.648502, 1.6485, 1.648499, 1.648498, 1.648496, 1.648496, 
    1.648496, 1.648496, 1.648497, 1.648499, 1.648499, 1.648501, 1.648502, 
    1.648752, 1.649003, 1.649454, 1.650405, 1.662016, 1.697795, 1.773685, 
    1.896626, 2.063416, 2.269411, 2.523462, 2.792864, 3.042847, 3.260949, 
    3.437445, 3.570147, 3.653602, 3.681049, 3.284949, 0, 0, 0, 0, 0, 0, 0, 
    1.384809, 2.755134, 2.703095, 2.644405, 2.575414, 2.496624, 2.419881, 
    2.339289, 2.244298, 2.147695, 2.071888, 2.005529, 1.946869, 1.901555, 
    1.870343, 1.84718, 1.827716, 1.809752, 1.789037, 1.765171, 1.741103, 
    1.719788, 1.703976, 1.690615, 1.679653, 1.672843, 1.672436, 1.676929, 
    1.686425, 1.696072, 1.70017, 1.69727, 1.687925, 1.671581, 1.651439, 
    1.627095, 1.599453, 1.571662, 1.548969, 1.533276, 1.527978, 1.533126, 
    1.54797, 1.569812, 1.595855, 1.620347, 1.641691, 1.658486, 1.671881, 
    1.677728, 1.676678, 1.669682, 1.657486, 1.645092, 1.634197, 1.624002, 
    1.614058, 1.605963, 1.606966, 1.62652, 1.670275, 1.735682, 1.810989, 
    1.899247, 2.009104, 2.12796, 2.224013, 2.298016, 2.367474, 2.419681, 
    1.220517, 0, 0, 0, 0, 0, 0, 0.3238298, 1.073948, 1.800676, 2.09428, 
    2.072882, 2.058982, 2.047882, 2.03828, 1.423435, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.508854, 1.407582, 1.502385, 1.525772, 1.548106, 
    1.569386, 1.596712, 1.637439, 1.700564, 1.792435, 1.887105, 1.963579, 
    2.026407, 2.072792, 2.094584, 2.095034, 2.073092, 2.019207, 1.934136, 
    1.846117, 1.760901, 1.679087, 1.618617,
  1.578992, 1.575843, 1.571596, 1.569049, 1.5685, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.56905, 1.569499, 1.569997, 1.571196, 1.572543, 
    1.574591, 1.576738, 1.579235, 1.581981, 1.584577, 1.586725, 1.588523, 
    1.59002, 1.591618, 1.592467, 1.592967, 1.592017, 1.591019, 1.589471, 
    1.587924, 1.585926, 1.583379, 1.580982, 1.578236, 1.575939, 1.573542, 
    1.571995, 1.570796, 1.569598, 1.569349, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.571748, 1.585692, 1.636028, 
    1.739703, 1.896426, 2.113346, 2.416613, 2.78303, 3.171048, 3.590239, 
    4.033646, 4.356492, 4.605531, 4.846176, 4.82345, 1.816539, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1509872, 1.941783, 2.894835, 2.768007, 
    2.638122, 2.499333, 2.374391, 2.258547, 2.143651, 2.018533, 1.921112, 
    1.84154, 1.775318, 1.729599, 1.701286, 1.682426, 1.669718, 1.661312, 
    1.657008, 1.654456, 1.653454, 1.652504, 1.652004, 1.651504, 1.650604, 
    1.650354, 1.649753, 1.649504, 1.649003, 1.648504, 1.648504, 1.648504, 
    1.648504, 1.648654, 1.649253, 1.649504, 1.650003, 1.650504, 1.651004, 
    1.651504, 1.652454, 1.654657, 1.675772, 1.734707, 1.841202, 1.995649, 
    2.193193, 2.431338, 2.721989, 3.028591, 3.302123, 3.521374, 3.694469, 
    3.829874, 3.917631, 3.94729, 3.516845, 0, 0, 0, 0, 0, 0, 0, 0.1394188, 
    1.388504, 2.06342, 2.720105, 2.657966, 2.586125, 2.515134, 2.440642, 
    2.352553, 2.258312, 2.178407, 2.106552, 2.040742, 1.986481, 1.946619, 
    1.914106, 1.884691, 1.856076, 1.824311, 1.789045, 1.752729, 1.720263, 
    1.694999, 1.673236, 1.653724, 1.639514, 1.633706, 1.633499, 1.639946, 
    1.647142, 1.64994, 1.647491, 1.641044, 1.629301, 1.614207, 1.594915, 
    1.572973, 1.55103, 1.533738, 1.522745, 1.519297, 1.522594, 1.532988, 
    1.549681, 1.570374, 1.589667, 1.606711, 1.619906, 1.6291, 1.633098, 
    1.632448, 1.627952, 1.619056, 1.610512, 1.603217, 1.596622, 1.590075, 
    1.585229, 1.588733, 1.610435, 1.657339, 1.726743, 1.805997, 1.898201, 
    2.012405, 2.133104, 2.230505, 2.307611, 2.382017, 2.440026, 1.232266, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.7357884, 1.040854, 1.030383, 1.023452, 1.017917, 
    1.012881, 0.7071666, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7489696, 
    1.521619, 1.535506, 1.546942, 1.554774, 1.566805, 1.591684, 1.637912, 
    1.709434, 1.783608, 1.842835, 1.890866, 1.926501, 1.941992, 1.942793, 
    1.927854, 1.886273, 1.821049, 1.754879, 1.692208, 1.634389, 1.594516,
  1.571488, 1.570092, 1.568596, 1.568199, 1.568249, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569349, 1.569549, 
    1.570147, 1.570745, 1.571344, 1.571992, 1.572641, 1.573239, 1.573837, 
    1.574037, 1.574486, 1.574735, 1.574984, 1.574536, 1.574336, 1.573987, 
    1.573638, 1.57299, 1.572341, 1.571743, 1.571144, 1.570496, 1.569848, 
    1.569499, 1.56915, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.570499, 1.580394, 1.62013, 1.706709, 
    1.843683, 2.037351, 2.315566, 2.656532, 3.020299, 3.424317, 3.869566, 
    4.189562, 4.430251, 4.666394, 4.657989, 1.80685, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.4453793, 2.198097, 2.848959, 2.73278, 2.602643, 
    2.483901, 2.372507, 2.259509, 2.122595, 2.010377, 1.914605, 1.83098, 
    1.770259, 1.731294, 1.704233, 1.684822, 1.671415, 1.66376, 1.658906, 
    1.656153, 1.655353, 1.654753, 1.654504, 1.653604, 1.653204, 1.652504, 
    1.652504, 1.651604, 1.651504, 1.651504, 1.651504, 1.651504, 1.651504, 
    1.652004, 1.652504, 1.652604, 1.653504, 1.654004, 1.654504, 1.655153, 
    1.66106, 1.697786, 1.783172, 1.923768, 2.114368, 2.346215, 2.619013, 
    2.947964, 3.291713, 3.585134, 3.801876, 3.969567, 4.107819, 4.203132, 
    4.239291, 2.03685, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.415055, 2.803166, 
    2.748927, 2.684437, 2.620147, 2.552005, 2.471765, 2.384725, 2.301421, 
    2.224413, 2.151203, 2.088241, 2.039379, 1.997517, 1.957202, 1.917087, 
    1.873821, 1.829162, 1.781297, 1.737082, 1.701518, 1.670857, 1.641944, 
    1.620234, 1.607724, 1.602919, 1.606013, 1.61071, 1.612459, 1.611061, 
    1.607165, 1.599519, 1.589226, 1.575081, 1.55899, 1.542898, 1.530753, 
    1.523858, 1.52211, 1.523708, 1.530004, 1.541898, 1.557391, 1.571634, 
    1.584228, 1.593322, 1.59917, 1.601116, 1.600967, 1.598369, 1.592623, 
    1.587777, 1.58348, 1.579883, 1.576488, 1.57384, 1.579242, 1.602143, 
    1.651295, 1.722847, 1.804499, 1.898751, 2.015203, 2.135953, 2.233753, 
    2.313355, 2.392161, 2.45712, 1.243264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1527504, 
    1.528851, 1.533489, 1.535328, 1.532166, 1.5312, 1.541181, 1.57111, 
    1.623035, 1.678562, 1.722593, 1.757878, 1.784669, 1.795666, 1.799574, 
    1.793687, 1.765704, 1.719529, 1.673403, 1.631479, 1.595206, 1.573478,
  1.56299, 1.564043, 1.565947, 1.566998, 1.568, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569749, 1.576095, 1.606284, 1.677065, 1.79394, 
    1.964362, 2.216579, 2.531246, 2.869313, 3.24833, 3.680348, 3.996843, 
    4.22798, 4.45772, 4.447191, 1.665636, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.7351434, 2.476058, 2.829819, 2.709783, 2.59739, 2.490245, 
    2.37955, 2.23745, 2.111634, 1.999463, 1.897541, 1.819968, 1.768802, 
    1.731989, 1.704027, 1.684418, 1.671761, 1.663656, 1.658804, 1.657702, 
    1.657002, 1.657002, 1.656103, 1.655853, 1.655504, 1.655153, 1.654554, 
    1.654504, 1.654504, 1.654504, 1.654504, 1.654504, 1.654753, 1.655353, 
    1.655554, 1.656003, 1.656502, 1.657002, 1.657954, 1.675226, 1.733305, 
    1.846691, 2.022485, 2.251534, 2.520483, 2.83073, 3.197777, 3.574113, 
    3.87812, 4.089363, 4.251759, 4.394367, 4.500381, 4.547953, 0.4554408, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.7161912, 2.444036, 2.841862, 2.785723, 
    2.728632, 2.667692, 2.595352, 2.515812, 2.433669, 2.352215, 2.270654, 
    2.198191, 2.139378, 2.086863, 2.034647, 1.982081, 1.92882, 1.878364, 
    1.82301, 1.767546, 1.721783, 1.681971, 1.644011, 1.613949, 1.594742, 
    1.584985, 1.58413, 1.586427, 1.587476, 1.586776, 1.585229, 1.581083, 
    1.574987, 1.565744, 1.555551, 1.545609, 1.538015, 1.534269, 1.533519, 
    1.534269, 1.537766, 1.544759, 1.554902, 1.564096, 1.572241, 1.577587, 
    1.581184, 1.581633, 1.581733, 1.580435, 1.577589, 1.575391, 1.573243, 
    1.571796, 1.570497, 1.569499, 1.575499, 1.598648, 1.648298, 1.720347, 
    1.802496, 1.897596, 2.013694, 2.13349, 2.230238, 2.310188, 2.393694, 
    2.466003, 1.250505, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1520479, 1.519726, 1.515966, 1.510459, 
    1.499501, 1.48819, 1.485175, 1.500008, 1.534137, 1.573268, 1.604603, 
    1.629642, 1.651137, 1.664195, 1.674855, 1.677815, 1.663533, 1.635555, 
    1.607928, 1.584851, 1.567923, 1.560288,
  1.555993, 1.558794, 1.563347, 1.565949, 1.568, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569249, 1.572997, 1.595389, 1.651572, 1.74945, 
    1.897724, 2.123591, 2.411458, 2.723327, 3.075092, 3.48111, 3.793355, 
    4.01299, 4.233326, 4.463914, 3.237644, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.029304, 2.766734, 2.809263, 2.702369, 2.598974, 
    2.490625, 2.349728, 2.21838, 2.094021, 1.974048, 1.878726, 1.813809, 
    1.765694, 1.727682, 1.700271, 1.681513, 1.668706, 1.661353, 1.659352, 
    1.658752, 1.658501, 1.658052, 1.658002, 1.657752, 1.657152, 1.657003, 
    1.657002, 1.657002, 1.657002, 1.657003, 1.657002, 1.657002, 1.657352, 
    1.657952, 1.658002, 1.658252, 1.658501, 1.666767, 1.703293, 1.785073, 
    1.926706, 2.138701, 2.407651, 2.714997, 3.062241, 3.464581, 3.861446, 
    4.163586, 4.371584, 4.533437, 4.682896, 4.792841, 3.094659, 0.2352297, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.01883, 2.780946, 2.884972, 2.836384, 
    2.783594, 2.719955, 2.649318, 2.573175, 2.490025, 2.399564, 2.3165, 
    2.246386, 2.181521, 2.115152, 2.047982, 1.984818, 1.930063, 1.870257, 
    1.807001, 1.751039, 1.701727, 1.655467, 1.617309, 1.591751, 1.576694, 
    1.572692, 1.57314, 1.573489, 1.57314, 1.572891, 1.571694, 1.568747, 
    1.564051, 1.559057, 1.554162, 1.550516, 1.549319, 1.549019, 1.549319, 
    1.550516, 1.553813, 1.558957, 1.563552, 1.567999, 1.570696, 1.571893, 
    1.571993, 1.571993, 1.571644, 1.570995, 1.570347, 1.569748, 1.569499, 
    1.56905, 1.569, 1.574749, 1.596948, 1.645295, 1.716042, 1.79699, 
    1.890887, 2.005085, 2.12158, 2.215476, 2.294324, 2.379722, 2.082472, 
    0.6247354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.07541715, 0.9750589, 1.485709, 1.473951, 
    1.456894, 1.437635, 1.423673, 1.425458, 1.444191, 1.468925, 1.489613, 
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    1.52453, 1.537189,
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    3.134094, 3.036089, 2.944392, 2.840995, 2.700947, 2.566098, 2.431247, 
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    0.1618201, 1.615506, 2.43066, 3.237052, 3.208906, 3.174365, 3.130873, 
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    1.437508, 1.472259, 1.503059, 1.52651,
  1.561518, 1.566417, 1.573264, 1.576311, 1.577009, 1.575957, 1.573605, 
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    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569501, 1.570452, 1.572504, 1.574906, 1.57806, 1.581762, 1.585266, 
    1.58912, 1.596272, 1.616022, 1.654517, 1.721009, 1.837446, 2.008628, 
    2.20596, 2.433389, 2.711066, 2.985048, 3.159142, 3.32133, 3.504268, 
    3.102277, 0.9227892, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1600385, 1.587061, 2.319275, 3.03078, 2.931886, 2.795391, 2.661592, 
    2.526392, 2.382139, 2.255884, 2.154577, 2.047674, 1.93616, 1.842593, 
    1.774029, 1.719818, 1.681208, 1.663452, 1.6605, 1.66, 1.66, 1.66, 1.66, 
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    1.729537, 1.790552, 1.893821, 2.052343, 2.265867, 2.557444, 2.942867, 
    3.368977, 3.781181, 4.202482, 4.661019, 5.045208, 5.317903, 5.537752, 
    5.723998, 4.964645, 1.462653, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.671541, 3.330484, 3.306689, 3.279795, 3.244603, 3.189815, 3.095524, 
    2.101487, 0, 0, 1.24121, 2.377754, 2.258041, 2.181738, 2.099486, 
    2.014585, 1.925031, 1.834775, 1.749318, 1.677612, 1.625258, 1.589704, 
    1.573552, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.571499, 1.582397, 1.611942, 1.658086, 1.712481, 1.777023, 1.856264, 
    1.930454, 1.985696, 2.043743, 2.000653, 0.7451949, 0, 0, 0, 0, 0, 0, 0, 
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    0.5091873, 1.363331, 1.406338, 1.372237, 1.334636, 1.292734, 1.252233, 
    1.214984, 1.184387, 1.16169, 1.150894, 1.152999, 1.168053, 1.198009, 
    1.237513, 1.280267, 1.32407, 1.370873, 1.415575, 1.454525, 1.489275, 
    1.519573, 1.542371,
  1.585026, 1.588174, 1.59172, 1.591067, 1.588763, 1.58506, 1.580158, 
    1.576756, 1.573753, 1.571452, 1.569601, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569351, 1.571503, 1.574405, 1.578507, 1.58366, 1.590564, 1.598469, 
    1.606524, 1.615279, 1.626635, 1.647738, 1.683537, 1.743132, 1.847673, 
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    3.386057, 3.550651, 1.8147, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.7793039, 1.533105, 1.485144, 1.847912, 2.75759, 2.623742, 
    2.477442, 2.345737, 2.238832, 2.128429, 2.002165, 1.890698, 1.807284, 
    1.740321, 1.691011, 1.666905, 1.661251, 1.66015, 1.66, 1.66, 1.66, 1.66, 
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    1.770541, 1.847506, 1.969473, 2.149542, 2.386111, 2.700378, 3.103539, 
    3.536341, 3.951143, 4.37154, 4.816426, 5.189216, 5.456361, 5.674509, 
    5.85886, 4.182578, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.710784, 3.41142, 3.391773, 3.370728, 3.344086, 3.301697, 3.060266, 
    1.071113, 0, 0, 0.2475555, 2.43235, 2.299538, 2.221337, 2.136585, 
    2.050433, 1.957781, 1.861275, 1.76937, 1.691764, 1.634509, 1.594755, 
    1.575602, 1.569351, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.57075, 1.579498, 1.604393, 1.644588, 1.692482, 1.749825, 
    1.820668, 1.885661, 1.935458, 1.990856, 2.055456, 1.47137, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.012543, 1.424889, 1.39454, 1.359489, 1.320938, 1.277788, 1.236888, 
    1.200989, 1.173492, 1.154746, 1.148751, 1.156257, 1.176363, 1.211968, 
    1.256723, 1.304028, 1.351682, 1.400884, 1.447235, 1.486535, 1.520585, 
    1.549083, 1.569781,
  1.617032, 1.617729, 1.616775, 1.612021, 1.605517, 1.597963, 1.58971, 
    1.583506, 1.578255, 1.574403, 1.571102, 1.56935, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.56915, 
    1.569751, 1.571403, 1.575605, 1.581658, 1.589012, 1.598116, 1.610121, 
    1.623977, 1.638283, 1.65364, 1.672397, 1.697852, 1.734304, 1.790352, 
    1.886447, 2.028837, 2.194775, 2.38416, 2.612735, 2.837611, 2.994952, 
    3.135494, 3.298735, 3.456779, 1.766714, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8712243, 2.853834, 2.72449, 2.578541, 
    2.441737, 2.329582, 2.215679, 2.074265, 1.945, 1.845786, 1.765123, 
    1.703762, 1.671854, 1.663002, 1.66045, 1.66, 1.66, 1.66, 1.66, 1.66, 
    1.66, 1.66, 1.66, 1.66, 1.66, 1.660751, 1.667456, 1.692414, 1.742076, 
    1.81504, 1.907603, 2.047569, 2.247335, 2.500847, 2.824697, 3.231694, 
    3.662789, 4.069072, 4.475701, 4.90178, 5.259964, 5.516, 5.728993, 
    5.915095, 4.222747, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.743776, 3.479504, 3.464108, 3.447161, 3.429068, 3.399079, 3.173674, 
    1.158789, 0, 0, 0.2530545, 2.48194, 2.336529, 2.257629, 2.171579, 
    2.084428, 1.990779, 1.890127, 1.791921, 1.708566, 1.646512, 1.602308, 
    1.578804, 1.570552, 1.56925, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.57025, 1.577098, 1.597845, 1.63244, 1.673735, 1.724479, 
    1.787572, 1.845216, 1.893215, 1.946814, 2.011164, 1.755979, 0.523922, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.2195363, 0.7272798, 1.219922, 1.411437, 1.381387, 1.345987, 
    1.307437, 1.264288, 1.223688, 1.189991, 1.166445, 1.15285, 1.153257, 
    1.166762, 1.193568, 1.235575, 1.286931, 1.339035, 1.390789, 1.442842, 
    1.490894, 1.530294, 1.563042, 1.58949, 1.606886,
  1.657037, 1.654935, 1.64878, 1.638825, 1.62727, 1.615016, 1.602713, 
    1.592759, 1.584756, 1.578504, 1.573603, 1.570551, 1.56925, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.56925, 1.569852, 1.570503, 1.571304, 1.572255, 1.573207, 
    1.574058, 1.57546, 1.577512, 1.581314, 1.588217, 1.59822, 1.609774, 
    1.623428, 1.641633, 1.662138, 1.683795, 1.707202, 1.734759, 1.767066, 
    1.80657, 1.86217, 1.953168, 2.08551, 2.236546, 2.405075, 2.604751, 
    2.804331, 2.952474, 3.082765, 3.236408, 3.387251, 1.730724, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4417588, 
    2.185803, 2.823481, 2.679683, 2.539381, 2.422077, 2.304424, 2.148412, 
    2.002449, 1.888037, 1.793926, 1.719514, 1.678507, 1.665252, 1.661101, 
    1.66005, 1.66, 1.66, 1.66, 1.66, 1.66, 1.66, 1.66, 1.66, 1.66, 1.662251, 
    1.673955, 1.708063, 1.770022, 1.857033, 1.964695, 2.121659, 2.339073, 
    2.601827, 2.923022, 3.319057, 3.734787, 4.118765, 4.497488, 4.897915, 
    5.234143, 5.470174, 5.673314, 5.563116, 2.106965, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1.77052, 3.534741, 3.522943, 3.509747, 3.500555, 
    3.482965, 3.43318, 2.351363, 0, 0, 0.1275859, 1.61942, 2.385554, 
    2.298591, 2.205179, 2.117579, 2.02503, 1.921978, 1.817973, 1.72952, 
    1.662766, 1.613511, 1.585408, 1.573954, 1.570752, 1.569651, 1.56905, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.56975, 1.575049, 1.592697, 1.622092, 
    1.657738, 1.702133, 1.758328, 1.812728, 1.860478, 1.913829, 1.97888, 
    2.045533, 1.576136, 0.3207864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4349945, 1.441482, 1.421084, 1.395787, 
    1.366037, 1.331238, 1.293288, 1.250789, 1.211591, 1.181995, 1.16325, 
    1.156356, 1.163912, 1.184268, 1.218624, 1.268081, 1.326587, 1.384292, 
    1.439895, 1.495648, 1.545049, 1.584549, 1.615648, 1.639395, 1.652843,
  1.705041, 1.700139, 1.688284, 1.67233, 1.655025, 1.63737, 1.620166, 
    1.605511, 1.594009, 1.584606, 1.577604, 1.572752, 1.570251, 1.56915, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.56905, 1.569651, 1.570752, 1.572904, 1.575556, 1.578908, 1.582261, 
    1.585963, 1.590017, 1.59407, 1.598773, 1.605575, 1.616279, 1.630782, 
    1.646536, 1.66509, 1.689245, 1.717101, 1.746808, 1.778614, 1.815672, 
    1.856079, 1.900834, 1.958536, 2.047286, 2.169977, 2.30206, 2.446742, 
    2.618822, 2.795404, 2.934246, 3.053486, 3.195676, 3.338418, 1.704733, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.493283, 2.914819, 2.774823, 2.632972, 2.511569, 2.390167, 2.220956, 
    2.059494, 1.931284, 1.824424, 1.737264, 1.686857, 1.668253, 1.6619, 
    1.6601, 1.66, 1.66, 1.66, 1.66, 1.66, 1.66, 1.660351, 1.660501, 1.660501, 
    1.663501, 1.679103, 1.720708, 1.792715, 1.891524, 2.012733, 2.185596, 
    2.416704, 2.680301, 2.990088, 3.363868, 3.752844, 4.107718, 4.453491, 
    4.817306, 5.120523, 5.327847, 5.516633, 5.116944, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.793017, 3.580433, 3.570034, 3.560536, 
    3.556536, 3.547991, 3.514603, 2.417145, 0, 0, 0, 0.7489688, 2.454558, 
    2.351996, 2.244335, 2.152028, 2.06203, 1.958031, 1.849528, 1.756824, 
    1.685521, 1.631718, 1.598964, 1.583862, 1.578761, 1.57646, 1.57506, 
    1.574509, 1.574509, 1.574509, 1.574509, 1.574509, 1.574509, 1.574509, 
    1.574509, 1.574509, 1.574509, 1.574509, 1.574509, 1.574359, 1.574008, 
    1.574008, 1.573958, 1.573507, 1.573257, 1.572656, 1.572005, 1.571354, 
    1.571003, 1.570653, 1.570452, 1.570152, 1.571002, 1.575352, 1.59055, 
    1.615547, 1.646494, 1.685139, 1.735635, 1.788383, 1.836733, 1.891034, 
    1.957134, 2.027587, 2.098741, 1.406715, 1.125635, 1.161291, 1.19189, 
    0.3611727, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.07151339, 0.9288383, 1.419732, 1.401484, 1.378185, 1.349486, 1.315987, 
    1.278988, 1.23784, 1.201292, 1.176746, 1.164102, 1.164858, 1.180515, 
    1.209273, 1.251679, 1.309487, 1.375242, 1.439047, 1.499001, 1.557653, 
    1.609055, 1.648304, 1.677753, 1.698351, 1.707797,
  1.762047, 1.753994, 1.735839, 1.713835, 1.69053, 1.666875, 1.644121, 
    1.624117, 1.609014, 1.596362, 1.58661, 1.579308, 1.575507, 1.573456, 
    1.572505, 1.572005, 1.571754, 1.571153, 1.570502, 1.570001, 1.569751, 
    1.56915, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569651, 1.572103, 1.575005, 1.579306, 1.585109, 
    1.592312, 1.599766, 1.60792, 1.616974, 1.625478, 1.634032, 1.645035, 
    1.660339, 1.679993, 1.700547, 1.724602, 1.754456, 1.790061, 1.828068, 
    1.868875, 1.916133, 1.966041, 2.018097, 2.080301, 2.168952, 2.282896, 
    2.394331, 2.516966, 2.663296, 2.816879, 2.94452, 3.050458, 3.177896, 
    3.308835, 1.68749, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7558627, 2.530108, 2.86086, 2.71836, 2.593808, 2.469607, 
    2.288498, 2.112838, 1.97228, 1.853772, 1.755314, 1.695356, 1.671753, 
    1.662851, 1.66015, 1.66, 1.66, 1.66035, 1.660501, 1.660501, 1.660501, 
    1.66085, 1.661, 1.661, 1.66425, 1.682202, 1.728404, 1.807808, 1.916014, 
    2.048022, 2.233829, 2.467825, 2.722765, 3.014801, 3.36113, 3.718053, 
    4.038926, 4.347547, 4.66431, 4.924726, 5.100804, 5.272341, 2.764918, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9003952, 3.06795, 
    3.603619, 3.595819, 3.590767, 3.582914, 3.561821, 2.459471, 0, 0, 0, 
    0.7722172, 2.526053, 2.409443, 2.288033, 2.187928, 2.101781, 1.998482, 
    1.887481, 1.791429, 1.717027, 1.660125, 1.623023, 1.60442, 1.597768, 
    1.594267, 1.592467, 1.591017, 1.591017, 1.591017, 1.591017, 1.591017, 
    1.591017, 1.591017, 1.591017, 1.591017, 1.591017, 1.591017, 1.591017, 
    1.590717, 1.590016, 1.589666, 1.588965, 1.587715, 1.586263, 1.584462, 
    1.582061, 1.579909, 1.578007, 1.576456, 1.575505, 1.575156, 1.576256, 
    1.580506, 1.594005, 1.616454, 1.644253, 1.67835, 1.724397, 1.776048, 
    1.824998, 1.879548, 1.946248, 2.018849, 2.09275, 2.1705, 2.248101, 
    2.318299, 2.375994, 1.568721, 0.121332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.4942414, 0.7755992, 1.410028, 1.39523, 1.379382, 
    1.357283, 1.330284, 1.297985, 1.262536, 1.223538, 1.191793, 1.173499, 
    1.168505, 1.177962, 1.20342, 1.241527, 1.292584, 1.35939, 1.432746, 
    1.502551, 1.567104, 1.628607, 1.681707, 1.720808, 1.748707, 1.766254, 
    1.771251,
  1.82805, 1.816848, 1.792794, 1.764489, 1.735285, 1.705731, 1.676777, 
    1.651923, 1.63277, 1.617118, 1.604166, 1.594364, 1.589013, 1.585762, 
    1.583511, 1.581559, 1.579757, 1.577606, 1.575455, 1.573203, 1.572002, 
    1.570452, 1.569501, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.56925, 1.569851, 1.572153, 1.576854, 1.582757, 1.59041, 
    1.600664, 1.613168, 1.626272, 1.640778, 1.656033, 1.670537, 1.683791, 
    1.699844, 1.720799, 1.746003, 1.772307, 1.801761, 1.838066, 1.881522, 
    1.928078, 1.979186, 2.037694, 2.098953, 2.15986, 2.228815, 2.319467, 
    2.421406, 2.514343, 2.616729, 2.738613, 2.866894, 2.977779, 3.067667, 
    3.012519, 1.647161, 0.8393084, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.122777, 2.930492, 2.788392, 2.661541, 
    2.534689, 2.348039, 2.161132, 2.010026, 1.881669, 1.772912, 1.704206, 
    1.675252, 1.6638, 1.6602, 1.66, 1.66025, 1.66085, 1.661, 1.661, 1.66125, 
    1.661501, 1.661501, 1.661501, 1.665001, 1.68355, 1.732001, 1.815654, 
    1.930006, 2.070261, 2.259008, 2.483849, 2.722986, 2.993619, 3.309747, 
    3.63037, 3.913892, 4.182013, 4.445822, 4.656384, 4.804765, 4.954546, 
    0.4991742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.266252, 3.437798, 3.610903, 3.60225, 3.590097, 3.571144, 2.473099, 0, 
    0, 0, 0.7950162, 2.598053, 2.471848, 2.339643, 2.231936, 2.146284, 
    2.042783, 1.930882, 1.833132, 1.757282, 1.69823, 1.658028, 1.636327, 
    1.627775, 1.623425, 1.620574, 1.618874, 1.618523, 1.618523, 1.618523, 
    1.618523, 1.618523, 1.618523, 1.618523, 1.618523, 1.618523, 1.618523, 
    1.618523, 1.618223, 1.617273, 1.616323, 1.614522, 1.612271, 1.60927, 
    1.605919, 1.601568, 1.597316, 1.593265, 1.590264, 1.588163, 1.588163, 
    1.589513, 1.594013, 1.606563, 1.628012, 1.653511, 1.684609, 1.726556, 
    1.776202, 1.825252, 1.879201, 1.9453, 2.01785, 2.091499, 2.168648, 
    2.245396, 2.311792, 2.361986, 2.397828, 0.2405475, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9736811, 1.389276, 1.378976, 1.366728, 
    1.35343, 1.332781, 1.307082, 1.276233, 1.242935, 1.208189, 1.183395, 
    1.173501, 1.177258, 1.197016, 1.233324, 1.281281, 1.341838, 1.417795, 
    1.49905, 1.574804, 1.643557, 1.708459, 1.762861, 1.801811, 1.828159, 
    1.842707, 1.843705,
  1.903053, 1.889052, 1.859698, 1.824994, 1.78979, 1.754235, 1.719382, 
    1.689729, 1.666276, 1.647373, 1.631221, 1.61892, 1.611518, 1.606567, 
    1.602065, 1.597813, 1.593261, 1.588709, 1.583957, 1.579255, 1.576254, 
    1.573252, 1.571001, 1.56935, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569501, 1.570152, 1.570752, 1.571704, 1.572555, 1.573656, 
    1.574507, 1.575358, 1.576009, 1.57666, 1.577511, 1.579412, 1.583713, 
    1.591115, 1.600267, 1.611869, 1.627273, 1.646177, 1.665531, 1.687336, 
    1.709991, 1.731046, 1.7498, 1.771003, 1.797757, 1.82821, 1.859813, 
    1.894917, 1.937771, 1.990278, 2.046585, 2.109193, 2.181153, 2.255612, 
    2.328372, 2.406729, 2.496025, 2.583016, 2.660107, 2.743845, 2.841929, 
    2.943011, 3.030043, 3.099577, 1.580108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.160224, 2.983882, 
    2.839829, 2.709776, 2.581125, 2.394225, 2.203025, 2.043521, 1.907116, 
    1.789561, 1.713556, 1.679003, 1.664751, 1.66025, 1.66015, 1.66075, 1.661, 
    1.66105, 1.661501, 1.662001, 1.662501, 1.662551, 1.663001, 1.666251, 
    1.684201, 1.732599, 1.8179, 1.935501, 2.07795, 2.258091, 2.466478, 
    2.685964, 2.931346, 3.214373, 3.496247, 3.74012, 3.96544, 4.174655, 
    4.330068, 4.45225, 4.575132, 0.4605728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1.627825, 2.343759, 3.594239, 3.578136, 3.555285, 
    2.466442, 0, 0, 0, 0.4026621, 1.977624, 2.536391, 2.397988, 2.283034, 
    2.195033, 2.091634, 1.980285, 1.882286, 1.806286, 1.745685, 1.703084, 
    1.679232, 1.668781, 1.66358, 1.65968, 1.657729, 1.657029, 1.657029, 
    1.657029, 1.657029, 1.657029, 1.657029, 1.657029, 1.657029, 1.657029, 
    1.657029, 1.657029, 1.656729, 1.655529, 1.653979, 1.651028, 1.647477, 
    1.643276, 1.638376, 1.632024, 1.625373, 1.619521, 1.61507, 1.61217, 
    1.611819, 1.61377, 1.61852, 1.63057, 1.650919, 1.674017, 1.702365, 
    1.739512, 1.784409, 1.832007, 1.884506, 1.948304, 2.018401, 2.089749, 
    2.163546, 2.236242, 2.296187, 2.337731, 2.363175, 1.175648, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.0548731, 0.550233, 0.558494, 0.1689751, 0, 0, 0, 
    0.9484841, 1.355979, 1.346579, 1.33673, 1.325482, 1.306282, 1.282034, 
    1.253235, 1.222687, 1.194742, 1.178649, 1.178255, 1.191862, 1.22307, 
    1.271379, 1.329786, 1.400092, 1.485649, 1.574704, 1.656308, 1.72916, 
    1.796912, 1.853013, 1.891813, 1.916262, 1.92811, 1.925308,
  1.988056, 1.971254, 1.936201, 1.895497, 1.854043, 1.81224, 1.771886, 
    1.737182, 1.710031, 1.687779, 1.668226, 1.652824, 1.642772, 1.63552, 
    1.628069, 1.620566, 1.612764, 1.604611, 1.596009, 1.588156, 1.582504, 
    1.577553, 1.573552, 1.570551, 1.56925, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.56925, 1.569851, 1.571552, 1.574103, 1.576755, 1.580107, 1.583609, 
    1.587912, 1.591514, 1.594766, 1.597618, 1.601722, 1.606777, 1.612881, 
    1.622236, 1.63469, 1.648294, 1.664347, 1.684851, 1.709554, 1.734056, 
    1.760307, 1.787458, 1.812459, 1.834309, 1.85896, 1.889862, 1.925115, 
    1.961068, 2.001921, 2.051476, 2.113331, 2.180588, 2.256247, 2.344208, 
    2.435369, 2.522379, 2.612887, 2.697384, 2.772528, 2.836871, 2.904011, 
    2.979198, 3.05238, 2.31757, 1.557898, 0.1565539, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.190665, 3.02392, 
    2.875317, 2.741516, 2.612616, 2.426417, 2.236017, 2.070765, 1.928262, 
    1.804058, 1.721704, 1.682001, 1.6654, 1.659899, 1.66015, 1.660499, 
    1.66085, 1.6615, 1.66215, 1.663001, 1.663501, 1.664552, 1.666003, 
    1.668752, 1.685851, 1.733151, 1.818051, 1.933496, 2.067487, 2.232226, 
    2.419562, 2.615946, 2.833328, 3.081055, 3.32268, 3.525604, 3.711031, 
    3.869351, 3.966913, 4.062496, 4.156327, 0.4179722, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5381259, 2.678866, 3.551379, 
    3.525327, 2.962978, 1.686357, 1.622678, 0.1606007, 0, 1.336268, 2.595536, 
    2.454836, 2.336084, 2.247284, 2.145535, 2.036287, 1.939939, 1.864289, 
    1.802989, 1.758588, 1.732787, 1.720786, 1.714385, 1.709684, 1.707235, 
    1.706534, 1.706534, 1.706534, 1.706535, 1.706534, 1.706534, 1.706534, 
    1.706535, 1.706534, 1.706534, 1.706534, 1.706234, 1.704784, 1.702634, 
    1.698934, 1.693833, 1.688532, 1.68183, 1.673479, 1.664428, 1.656777, 
    1.650876, 1.647175, 1.646325, 1.648275, 1.653024, 1.664524, 1.683323, 
    1.704021, 1.728919, 1.760966, 1.800362, 1.844258, 1.893406, 1.953303, 
    2.01935, 2.086247, 2.154893, 2.221189, 2.273584, 2.306479, 2.322573, 
    2.199161, 0.7916393, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5460454, 1.097999, 
    1.113998, 0.3368993, 0, 0, 0.3214016, 1.118227, 1.32388, 1.31488, 
    1.30623, 1.296531, 1.278382, 1.255983, 1.230486, 1.20499, 1.185796, 
    1.180053, 1.18976, 1.214517, 1.258075, 1.318733, 1.38829, 1.468346, 
    1.563101, 1.660056, 1.747059, 1.823912, 1.894314, 1.951514, 1.989814, 
    2.013063, 2.022111, 2.015909,
  2.081557, 2.061955, 2.021652, 1.974999, 1.927546, 1.880092, 1.833939, 
    1.794286, 1.763534, 1.738032, 1.71478, 1.695928, 1.682526, 1.672274, 
    1.661972, 1.65052, 1.638517, 1.625464, 1.612111, 1.600609, 1.591256, 
    1.583654, 1.577553, 1.572752, 1.570251, 1.56915, 1.569, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 
    1.56915, 1.570501, 1.572903, 1.576604, 1.581856, 1.587758, 1.59471, 
    1.603064, 1.612117, 1.62027, 1.627723, 1.635277, 1.646031, 1.658536, 
    1.67174, 1.688193, 1.707047, 1.72605, 1.747152, 1.772405, 1.801958, 
    1.829559, 1.85786, 1.887413, 1.914264, 1.937565, 1.964017, 1.997868, 
    2.03667, 2.076822, 2.122575, 2.179079, 2.249884, 2.328841, 2.41935, 
    2.525311, 2.635572, 2.738382, 2.836634, 2.916681, 2.982926, 3.037621, 
    3.090914, 3.144752, 2.69696, 0.7865793, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.208507, 3.045957, 
    2.893255, 2.756253, 2.627303, 2.443905, 2.256007, 2.089258, 1.943157, 
    1.814505, 1.727152, 1.683501, 1.664699, 1.658449, 1.658648, 1.659249, 
    1.660199, 1.661449, 1.6623, 1.66375, 1.664851, 1.667552, 1.670653, 
    1.673754, 1.690154, 1.736603, 1.818751, 1.923241, 2.041732, 2.18697, 
    2.350255, 2.519688, 2.705568, 2.915745, 3.11562, 3.279599, 3.431681, 
    3.543255, 3.603246, 3.675034, 3.744023, 1.820213, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.885963, 2.98681, 3.484774, 
    3.442324, 3.354484, 3.236544, 1.559997, 0, 1.363265, 2.651282, 2.512184, 
    2.392784, 2.304034, 2.205137, 2.099289, 2.005741, 1.931041, 1.869992, 
    1.824592, 1.797341, 1.78354, 1.776039, 1.770689, 1.767739, 1.767039, 
    1.767039, 1.767038, 1.767039, 1.767039, 1.767039, 1.767038, 1.767039, 
    1.767039, 1.767039, 1.767038, 1.766739, 1.765038, 1.762288, 1.757887, 
    1.751537, 1.744786, 1.736285, 1.725934, 1.714483, 1.704781, 1.69718, 
    1.692179, 1.690178, 1.691527, 1.695677, 1.705926, 1.722374, 1.740523, 
    1.76147, 1.788367, 1.821213, 1.859009, 1.903106, 1.957853, 2.01915, 
    2.080997, 2.143893, 2.202689, 2.247735, 2.273982, 2.281327, 2.264623, 
    1.886707, 0.5393799, 0, 0.08870359, 0.6209251, 0, 0, 0, 0, 0, 0.3819461, 
    1.035563, 1.09685, 1.111749, 0.3359997, 0, 0, 0.6369942, 1.287987, 
    1.294534, 1.285535, 1.277735, 1.268885, 1.251886, 1.231087, 1.209989, 
    1.192044, 1.183301, 1.188908, 1.210265, 1.247022, 1.30353, 1.376737, 
    1.457544, 1.547099, 1.650054, 1.753907, 1.84581, 1.926162, 1.999163, 
    2.057013, 2.094814, 2.116862, 2.123611, 2.11451,
  2.17605, 2.154349, 2.110047, 2.058295, 2.006293, 1.954291, 1.903489, 
    1.859888, 1.825536, 1.796784, 1.770333, 1.748531, 1.73178, 1.718528, 
    1.704476, 1.688823, 1.67177, 1.653317, 1.634615, 1.618061, 1.604509, 
    1.593056, 1.583604, 1.576303, 1.572251, 1.569951, 1.56905, 1.569, 1.569, 
    1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569, 1.569501, 
    1.570601, 1.573752, 1.578654, 1.585656, 1.594909, 1.605262, 1.617365, 
    1.632119, 1.647973, 1.661526, 1.674729, 1.689284, 1.707187, 1.726291, 
    1.746094, 1.768247, 1.79275, 1.816302, 1.841604, 1.870856, 1.903707, 
    1.934309, 1.965961, 1.999364, 2.029366, 2.054817, 2.083418, 2.119419, 
    2.16092, 2.204321, 2.254374, 2.316777, 2.396281, 2.486587, 2.592295, 
    2.717856, 2.848718, 2.969378, 3.071481, 3.147529, 3.208578, 3.257376, 
    3.300572, 3.335663, 2.344372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.213049, 3.046745, 
    2.889992, 2.749741, 2.622092, 2.442544, 2.259547, 2.096, 1.949951, 
    1.819901, 1.729901, 1.6835, 1.662649, 1.655898, 1.655798, 1.656998, 
    1.658549, 1.660499, 1.66245, 1.66425, 1.666401, 1.670602, 1.675603, 
    1.680003, 1.696303, 1.741102, 1.813994, 1.902485, 2.003576, 2.127614, 
    2.264349, 2.404182, 2.555563, 2.724639, 2.882767, 3.013852, 3.136536, 
    3.204963, 3.249805, 3.302296, 3.353386, 3.058451, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8644394, 2.941345, 3.438123, 
    3.397625, 3.324733, 3.224192, 2.797751, 0, 1.387262, 2.703477, 2.569581, 
    2.452633, 2.365034, 2.270787, 2.16969, 2.079342, 2.006544, 1.947045, 
    1.901145, 1.872894, 1.857293, 1.848693, 1.843142, 1.839592, 1.838542, 
    1.838542, 1.838542, 1.838542, 1.838542, 1.838542, 1.838542, 1.838542, 
    1.838542, 1.838542, 1.838542, 1.838242, 1.836292, 1.832941, 1.827441, 
    1.82009, 1.811789, 1.801738, 1.788987, 1.775386, 1.763284, 1.753633, 
    1.746682, 1.742731, 1.74253, 1.745129, 1.753327, 1.766625, 1.781523, 
    1.798521, 1.820218, 1.845914, 1.87651, 1.914106, 1.961802, 2.015496, 
    2.070742, 2.127739, 2.180536, 2.218382, 2.237727, 2.236422, 2.211768, 
    2.159265, 1.567783, 0.9829182, 0.9992934, 1.452531, 0.3961805, 0, 0, 0, 
    0, 0.7626497, 1.089099, 1.0962, 1.109999, 0.3352495, 0, 0.1833492, 
    0.9320761, 1.264187, 1.267335, 1.258835, 1.252486, 1.245088, 1.229439, 
    1.211291, 1.196245, 1.187501, 1.190357, 1.208414, 1.242021, 1.291027, 
    1.360484, 1.44594, 1.536795, 1.63465, 1.744903, 1.853956, 1.949307, 
    2.031708, 2.105607, 2.163357, 2.200306, 2.220455, 2.225054, 2.213252,
  2.265043, 2.242293, 2.195542, 2.141192, 2.086541, 2.031539, 1.977989, 
    1.931787, 1.895287, 1.864386, 1.835285, 1.810433, 1.791032, 1.774781, 
    1.756879, 1.736276, 1.714524, 1.690671, 1.666519, 1.644016, 1.626514, 
    1.611462, 1.598261, 1.58871, 1.582759, 1.579609, 1.578059, 1.577508, 
    1.577509, 1.577509, 1.577509, 1.577508, 1.577509, 1.577509, 1.577509, 
    1.577508, 1.577509, 1.577859, 1.578659, 1.58156, 1.586511, 1.593912, 
    1.604714, 1.618616, 1.634268, 1.652371, 1.674225, 1.698129, 1.718033, 
    1.737586, 1.758739, 1.782541, 1.806793, 1.831395, 1.858648, 1.886999, 
    1.91355, 1.942201, 1.975253, 2.011256, 2.045557, 2.080909, 2.119262, 
    2.152964, 2.181066, 2.212317, 2.250018, 2.293869, 2.33957, 2.392971, 
    2.460874, 2.548178, 2.649333, 2.769741, 2.9149, 3.06621, 3.200364, 
    3.304063, 3.378963, 3.438764, 3.485864, 3.522461, 3.35987, 1.203836, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.104886, 2.868376, 2.865032, 2.722982, 2.596682, 2.422185, 
    2.246039, 2.088993, 1.947346, 1.819248, 1.728948, 1.680748, 1.658447, 
    1.651447, 1.651948, 1.653748, 1.656249, 1.659449, 1.66225, 1.6645, 
    1.6671, 1.672601, 1.679051, 1.684501, 1.700801, 1.739997, 1.798139, 
    1.86923, 1.952922, 2.055811, 2.166148, 2.275683, 2.391865, 2.518445, 
    2.638126, 2.740112, 2.834748, 2.876441, 2.908837, 2.944579, 2.981373, 
    2.857882, 1.000607, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.712736, 3.413572, 3.387474, 3.350926, 3.292483, 3.207791, 
    2.949351, 1.494854, 2.140247, 2.751724, 2.625928, 2.514081, 2.429533, 
    2.341487, 2.24659, 2.160593, 2.090795, 2.033596, 1.988046, 1.958746, 
    1.942295, 1.932495, 1.926194, 1.922444, 1.921044, 1.921044, 1.921044, 
    1.921044, 1.921044, 1.921044, 1.921044, 1.921044, 1.921044, 1.921044, 
    1.921044, 1.920744, 1.918544, 1.914594, 1.907993, 1.899643, 1.889792, 
    1.878191, 1.86299, 1.846789, 1.832287, 1.820236, 1.810735, 1.804483, 
    1.801532, 1.80138, 1.805327, 1.813924, 1.824271, 1.836368, 1.851715, 
    1.870612, 1.894258, 1.924905, 1.964351, 2.010048, 2.057244, 2.10724, 
    2.154286, 2.183782, 2.194227, 2.184373, 2.151969, 2.094367, 2.022716, 
    1.929015, 1.788419, 1.636072, 0.7784869, 0, 0, 0, 0, 0.380766, 1.034095, 
    1.09555, 1.1085, 0.7330008, 0.1161669, 0.7787151, 1.222991, 1.24209, 
    1.24399, 1.236641, 1.231742, 1.226493, 1.214095, 1.201749, 1.195004, 
    1.196308, 1.210964, 1.241771, 1.286776, 1.347532, 1.428987, 1.525543, 
    1.624546, 1.7295, 1.845252, 1.957252, 2.053302, 2.135702, 2.20815, 
    2.264399, 2.299548, 2.317547, 2.319546, 2.305145,
  2.348037, 2.325288, 2.278037, 2.223037, 2.167287, 2.111187, 2.056487, 
    2.009137, 1.972037, 1.940187, 1.909286, 1.882486, 1.861536, 1.844787, 
    1.82934, 1.811846, 1.793801, 1.772957, 1.75011, 1.728864, 1.712817, 
    1.69957, 1.687172, 1.676472, 1.668821, 1.662919, 1.659267, 1.658717, 
    1.659318, 1.659918, 1.655915, 1.648908, 1.642052, 1.635546, 1.630992, 
    1.637498, 1.645555, 1.654313, 1.654162, 1.658062, 1.664813, 1.674714, 
    1.689216, 1.703714, 1.711305, 1.721344, 1.736685, 1.765135, 1.790787, 
    1.815739, 1.841741, 1.870093, 1.898295, 1.926146, 1.957047, 1.987948, 
    2.0168, 2.048451, 2.085253, 2.125305, 2.163557, 2.203209, 2.247162, 
    2.285364, 2.317066, 2.350867, 2.390467, 2.435818, 2.483569, 2.539721, 
    2.612422, 2.706425, 2.817579, 2.951135, 3.113892, 3.280698, 3.417346, 
    3.520046, 3.595947, 3.657498, 3.7061, 3.738598, 1.831507, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.487481, 2.813969, 2.673471, 2.548372, 2.381676, 2.215432, 
    2.067487, 1.933541, 1.811044, 1.723096, 1.674997, 1.652447, 1.645497, 
    1.646747, 1.649998, 1.653599, 1.657949, 1.6619, 1.6645, 1.6671, 1.6731, 
    1.68035, 1.6865, 1.700698, 1.729293, 1.771786, 1.825478, 1.89212, 
    1.975061, 2.06105, 2.142438, 2.224523, 2.311355, 2.395989, 2.468375, 
    2.534112, 2.569261, 2.592807, 2.61335, 2.638094, 2.670143, 1.882892, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.683987, 
    3.357123, 3.333975, 3.303078, 3.258234, 3.18819, 3.096347, 2.993456, 
    2.895013, 2.794818, 2.679674, 2.575278, 2.496031, 2.415385, 2.328489, 
    2.248792, 2.183545, 2.129147, 2.084897, 2.055097, 2.038047, 2.027647, 
    2.020246, 2.015946, 2.014546, 2.014546, 2.014546, 2.014546, 2.014546, 
    2.014546, 2.014546, 2.014546, 2.014546, 2.014546, 2.014546, 2.014246, 
    2.012046, 2.007396, 1.999945, 1.990345, 1.979044, 1.965643, 1.948392, 
    1.929191, 1.91204, 1.897338, 1.884737, 1.875085, 1.868533, 1.864431, 
    1.862328, 1.864875, 1.870273, 1.87602, 1.884267, 1.896613, 1.914011, 
    1.937357, 1.969354, 2.0076, 2.046746, 2.087641, 2.126237, 2.146733, 
    2.148228, 2.130825, 2.091572, 2.02927, 1.955219, 1.86192, 1.730425, 
    1.585129, 0.7559912, 0, 0, 0, 0.2742541, 0.5457057, 1.0337, 1.0949, 
    1.107249, 1.127998, 0.2313493, 1.185796, 1.209746, 1.227746, 1.230546, 
    1.225097, 1.222249, 1.2194, 1.213204, 1.209058, 1.210511, 1.221065, 
    1.24702, 1.289976, 1.345531, 1.416835, 1.508489, 1.614193, 1.719545, 
    1.829447, 1.947647, 2.059947, 2.154546, 2.234795, 2.304593, 2.357641, 
    2.390039, 2.405638, 2.405537, 2.389337,
  2.425031, 2.402982, 2.356582, 2.302833, 2.248034, 2.192885, 2.138936, 
    2.091936, 2.055537, 2.023687, 1.992387, 1.965988, 1.94679, 1.935293, 
    1.929448, 1.923703, 1.917058, 1.907963, 1.894567, 1.881021, 1.871073, 
    1.861824, 1.850973, 1.839172, 1.829071, 1.818619, 1.810567, 1.809366, 
    1.810566, 1.811416, 1.802765, 1.787664, 1.771813, 1.758412, 1.754567, 
    1.775423, 1.79933, 1.824287, 1.831794, 1.835644, 1.840592, 1.849039, 
    1.859834, 1.862776, 1.849818, 1.838609, 1.8327, 1.853142, 1.880042, 
    1.908693, 1.938244, 1.969995, 2.001547, 2.032398, 2.066049, 2.09955, 
    2.131051, 2.166053, 2.206304, 2.250356, 2.292808, 2.33771, 2.386712, 
    2.429914, 2.465316, 2.501066, 2.541516, 2.588117, 2.637067, 2.695467, 
    2.770168, 2.86922, 2.988322, 3.132276, 3.309932, 3.488137, 3.621835, 
    3.725436, 3.804989, 3.871642, 3.925595, 3.959948, 0.3966098, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.2763456, 2.728806, 2.593459, 2.473162, 2.319119, 2.166925, 
    2.030481, 1.907686, 1.794791, 1.712345, 1.666496, 1.644796, 1.638547, 
    1.641048, 1.646249, 1.6525, 1.659402, 1.665053, 1.668003, 1.670253, 
    1.676103, 1.683352, 1.689002, 1.697449, 1.713043, 1.738735, 1.775978, 
    1.825471, 1.889363, 1.953354, 2.009944, 2.062684, 2.115571, 2.169359, 
    2.218402, 2.263247, 2.299749, 2.318348, 2.327645, 2.343943, 2.375794, 
    1.68413, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.656739, 3.304029, 3.28303, 3.25588, 3.220984, 3.164389, 3.088046, 
    3.003303, 2.919759, 2.830964, 2.728469, 2.634074, 2.562027, 2.489981, 
    2.412436, 2.340939, 2.281792, 2.231745, 2.189846, 2.160947, 2.143797, 
    2.133297, 2.125247, 2.120447, 2.119047, 2.119047, 2.119047, 2.119047, 
    2.119047, 2.119047, 2.119047, 2.119047, 2.119047, 2.119047, 2.119047, 
    2.118747, 2.116297, 2.111046, 2.102846, 2.091695, 2.079295, 2.064094, 
    2.044843, 2.022792, 2.002791, 1.985239, 1.968688, 1.954385, 1.942533, 
    1.93313, 1.925778, 1.922676, 1.922774, 1.922171, 1.923668, 1.928315, 
    1.938761, 1.955159, 1.978254, 2.006349, 2.035995, 2.06599, 2.093484, 
    2.105631, 2.099228, 2.074275, 2.028272, 1.96217, 1.88622, 1.794871, 
    1.674375, 1.540882, 1.079032, 0.6595089, 0.6172731, 0.5841951, 0.8307396, 
    1.09025, 1.0876, 1.0944, 1.10675, 1.127151, 0.1720003, 0.7713526, 
    1.210755, 1.228755, 1.233506, 1.230507, 0.9202451, 1.045402, 1.231312, 
    1.234214, 1.243017, 1.262321, 1.298975, 1.352529, 1.417783, 1.497737, 
    1.59829, 1.710392, 1.820044, 1.932144, 2.050044, 2.160042, 2.25104, 
    2.327338, 2.393086, 2.442084, 2.470782, 2.484082, 2.482581, 2.465831,
  2.495526, 2.474526, 2.430628, 2.380079, 2.328281, 2.275782, 2.224833, 
    2.179885, 2.145286, 2.114886, 2.084887, 2.060689, 2.047542, 2.044895, 
    2.049999, 2.055904, 2.060558, 2.062412, 2.059766, 2.053218, 2.047319, 
    2.038269, 2.025418, 2.010917, 1.997565, 1.983164, 1.969762, 1.96571, 
    1.96656, 1.96706, 1.95761, 1.939909, 1.921558, 1.91021, 1.917765, 
    1.954321, 1.993827, 2.035083, 2.05934, 2.066943, 2.067091, 2.069339, 
    2.067333, 2.050475, 2.018068, 1.987411, 1.960804, 1.964047, 1.987045, 
    2.018445, 2.051197, 2.085748, 2.120299, 2.15415, 2.191002, 2.227153, 
    2.260803, 2.297954, 2.340404, 2.387455, 2.432805, 2.482007, 2.535208, 
    2.582159, 2.62031, 2.65706, 2.698461, 2.745761, 2.795311, 2.854661, 
    2.930362, 3.032913, 3.157565, 3.309167, 3.498521, 3.686374, 3.818574, 
    3.924875, 4.011528, 4.087333, 4.150587, 2.679677, 0.203943, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.1354457, 1.702301, 2.465189, 2.357996, 2.226057, 2.097069, 
    1.977977, 1.870083, 1.769638, 1.696042, 1.655746, 1.63995, 1.639003, 
    1.645956, 1.655258, 1.66631, 1.677812, 1.686514, 1.690765, 1.690813, 
    1.69261, 1.695957, 1.697005, 1.697001, 1.698445, 1.707539, 1.727983, 
    1.760676, 1.805869, 1.850262, 1.884954, 1.913696, 1.940787, 1.972331, 
    2.006426, 2.039471, 2.080974, 2.099374, 2.102923, 2.116622, 2.048795, 
    0.8001839, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.486524, 2.440362, 3.250227, 3.230528, 3.204979, 3.17573, 3.130034, 
    3.067188, 2.998344, 2.92975, 2.855556, 2.769714, 2.68817, 2.624523, 
    2.561927, 2.495281, 2.432885, 2.381288, 2.337391, 2.300243, 2.274245, 
    2.258296, 2.248296, 2.240696, 2.235947, 2.234547, 2.234547, 2.234547, 
    2.234547, 2.234547, 2.234547, 2.234547, 2.234547, 2.234547, 2.234547, 
    2.234547, 2.234097, 2.231046, 2.225546, 2.216396, 2.204396, 2.190545, 
    2.173894, 2.152344, 2.127692, 2.105042, 2.08414, 2.062138, 2.041085, 
    2.022282, 2.006629, 1.993276, 1.984024, 1.977271, 1.969467, 1.963264, 
    1.960862, 1.964009, 1.973106, 1.985202, 2.001597, 2.020493, 2.037637, 
    2.053934, 2.055979, 2.042226, 2.009923, 1.957521, 1.617262, 1.359873, 
    1.723171, 1.612925, 1.496032, 1.395988, 1.308193, 1.228846, 1.165849, 
    1.113, 1.09025, 1.0876, 1.0944, 1.109002, 0.7323453, 0.117353, 0.7911298, 
    1.232012, 1.251113, 0.6833718, 0.6188235, 0.6312587, 1.07981, 1.268918, 
    1.27702, 1.293023, 1.320225, 1.366429, 1.428982, 1.502035, 1.589087, 
    1.696089, 1.81214, 1.92379, 2.035439, 2.150838, 2.255686, 2.341283, 
    2.412531, 2.473079, 2.517177, 2.542526, 2.553525, 2.550724, 2.534475,
  2.559021, 2.539772, 2.500123, 2.454125, 2.406777, 2.359079, 2.312831, 
    2.272133, 2.240534, 2.212785, 2.185436, 2.165788, 2.160791, 2.167344, 
    2.183098, 2.200452, 2.215555, 2.227158, 2.234411, 2.233463, 2.229063, 
    2.218362, 2.202311, 2.183359, 2.166058, 2.147006, 2.128354, 2.121053, 
    2.121303, 2.121553, 2.111502, 2.092102, 2.073552, 2.067605, 2.087008, 
    2.138914, 2.193319, 2.250524, 2.290479, 2.306332, 2.303331, 2.299279, 
    2.283125, 2.248119, 2.198814, 2.15301, 2.112907, 2.105406, 2.126056, 
    2.161758, 2.19921, 2.238162, 2.276063, 2.312915, 2.351214, 2.385212, 
    2.41656, 2.451408, 2.492006, 2.538455, 2.584555, 2.635555, 2.696209, 
    2.752264, 2.796568, 2.835269, 2.877019, 2.924769, 2.974319, 3.032968, 
    3.108818, 3.206363, 3.326809, 3.478056, 3.673307, 3.86856, 4.00106, 
    4.112212, 4.208715, 4.297171, 4.370074, 1.318822, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.3642481, 1.736302, 2.210847, 2.11166, 2.013421, 1.915978, 1.824834, 
    1.738689, 1.678745, 1.65025, 1.645904, 1.655258, 1.669611, 1.685263, 
    1.701965, 1.718767, 1.731018, 1.734517, 1.729264, 1.722611, 1.717658, 
    1.711006, 1.701552, 1.690298, 1.684143, 1.688488, 1.705083, 1.733277, 
    1.759571, 1.776466, 1.786361, 1.795856, 1.811251, 1.831696, 1.855994, 
    1.897042, 1.915991, 1.91594, 1.928139, 1.766444, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9638942, 3.20698, 3.19153, 
    3.171179, 3.146779, 3.12073, 3.082432, 3.030886, 2.97644, 2.922495, 
    2.86435, 2.798057, 2.733364, 2.680268, 2.627872, 2.572625, 2.519979, 
    2.476281, 2.439234, 2.408036, 2.385336, 2.371287, 2.362488, 2.355688, 
    2.351588, 2.350538, 2.350538, 2.350538, 2.350538, 2.350538, 2.350538, 
    2.350538, 2.350538, 2.350538, 2.350538, 2.350488, 2.349438, 2.346288, 
    2.340688, 2.331338, 2.318738, 2.304538, 2.287189, 2.264789, 2.238889, 
    2.214288, 2.189687, 2.161535, 2.132932, 2.10728, 2.083727, 2.060823, 
    2.042119, 2.026015, 2.008511, 1.994409, 1.986657, 1.984006, 1.984503, 
    1.985149, 1.691738, 1.500898, 2.003187, 2.010735, 1.998129, 1.974225, 
    1.937024, 1.880222, 1.53846, 1.283536, 1.650475, 1.548528, 1.448483, 
    1.36674, 1.290945, 1.219597, 1.162148, 1.11375, 1.0909, 1.08765, 
    1.096652, 0.8340588, 0.1681837, 0.1237017, 1.244968, 1.274519, 0.830548, 
    0.1303021, 0.6685117, 0.9934924, 1.318821, 1.324522, 1.337524, 1.359776, 
    1.393578, 1.448331, 1.518483, 1.597535, 1.689886, 1.800037, 1.917637, 
    2.028536, 2.136985, 2.247233, 2.34553, 2.424528, 2.489525, 2.543622, 
    2.582121, 2.604019, 2.612969, 2.609369, 2.594419,
  2.614015, 2.597216, 2.562217, 2.52197, 2.480271, 2.438573, 2.397825, 
    2.362176, 2.334527, 2.310029, 2.285729, 2.272882, 2.276535, 2.292437, 
    2.319592, 2.348645, 2.374299, 2.396452, 2.413205, 2.417907, 2.413557, 
    2.400456, 2.380705, 2.356503, 2.333551, 2.3085, 2.283947, 2.272896, 
    2.272295, 2.272045, 2.260595, 2.240444, 2.222545, 2.222146, 2.25315, 
    2.319354, 2.387808, 2.458712, 2.511665, 2.534667, 2.530067, 2.521266, 
    2.493513, 2.444159, 2.382556, 2.328655, 2.283554, 2.274204, 2.298806, 
    2.342309, 2.386762, 2.432514, 2.475065, 2.514816, 2.551466, 2.580014, 
    2.606063, 2.635261, 2.669659, 2.711857, 2.756056, 2.807256, 2.87971, 
    2.950715, 3.006068, 3.04882, 3.088619, 3.134317, 3.181566, 3.236865, 
    3.307261, 3.387955, 3.4928, 3.633345, 3.826793, 4.026044, 4.159794, 
    4.277096, 4.38655, 4.491507, 3.397839, 0.6751857, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.045224, 2.056503, 1.995314, 1.928124, 1.85173, 1.776735, 
    1.705589, 1.664446, 1.652001, 1.660555, 1.681159, 1.704762, 1.727014, 
    1.749966, 1.772217, 1.786818, 1.784766, 1.771863, 1.75566, 1.741557, 
    1.727255, 1.709453, 1.68805, 1.668997, 1.660243, 1.663039, 1.677236, 
    1.689282, 1.693479, 1.691377, 1.687773, 1.688969, 1.697716, 1.715564, 
    1.748911, 1.767111, 1.76346, 1.771007, 1.62061, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9464945, 3.148231, 3.130981, 
    3.10798, 3.08408, 3.060731, 3.028983, 2.988037, 2.94659, 2.905744, 
    2.862098, 2.814154, 2.768159, 2.727513, 2.686167, 2.64112, 2.598073, 
    2.562025, 2.531227, 2.504928, 2.485579, 2.47353, 2.46568, 2.459681, 
    2.45623, 2.45553, 2.45553, 2.45553, 2.45553, 2.45553, 2.45553, 2.45553, 
    2.45553, 2.45553, 2.45553, 2.455431, 2.45408, 2.451281, 2.445681, 
    2.437231, 2.425032, 2.412282, 2.396033, 2.374783, 2.349884, 2.325284, 
    2.297884, 2.264932, 2.230581, 2.198779, 2.166277, 2.131523, 2.097517, 
    2.067762, 2.036957, 1.105097, 0.9979876, 0.9953893, 0.9934904, 0.990942, 
    0.986155, 1.472295, 1.965988, 1.961884, 1.932879, 1.896725, 1.853572, 
    1.79207, 1.720921, 1.649721, 1.569072, 1.476075, 1.39253, 1.328485, 
    1.267941, 1.206895, 1.157849, 1.120254, 1.106109, 1.05513, 0.5491131, 
    0.2785791, 0, 0.0630613, 0.6348104, 0.6503509, 0.1968292, 0.7079021, 
    1.377475, 1.384525, 1.390175, 1.398125, 1.415226, 1.442528, 1.481729, 
    1.543231, 1.619182, 1.702533, 1.797434, 1.908434, 2.024883, 2.132031, 
    2.234979, 2.337727, 2.428074, 2.499271, 2.556819, 2.603767, 2.636915, 
    2.655014, 2.661913, 2.658414, 2.645014,
  2.659011, 2.644661, 2.614763, 2.580464, 2.544766, 2.509068, 2.473819, 
    2.44322, 2.419521, 2.398272, 2.377573, 2.372626, 2.385528, 2.411731, 
    2.451084, 2.492638, 2.530291, 2.564094, 2.592048, 2.60435, 2.60055, 
    2.58555, 2.561699, 2.532497, 2.503046, 2.470794, 2.439042, 2.42264, 
    2.419539, 2.417839, 2.404638, 2.383288, 2.366038, 2.370839, 2.412692, 
    2.491345, 2.571798, 2.654001, 2.715852, 2.742803, 2.737803, 2.726152, 
    2.69045, 2.631699, 2.563548, 2.506948, 2.461748, 2.4557, 2.487802, 
    2.540204, 2.594207, 2.64896, 2.698312, 2.740313, 2.774912, 2.799962, 
    2.82156, 2.844559, 2.871207, 2.906204, 2.945553, 2.997503, 3.080205, 
    3.163708, 3.22981, 3.277712, 3.315862, 3.35626, 3.398559, 3.446106, 
    3.502551, 3.560694, 3.645038, 3.767883, 3.951329, 4.148727, 4.283027, 
    4.406479, 4.530433, 3.932601, 1.159628, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9667309, 1.913515, 1.88092, 1.842677, 1.786733, 1.726937, 1.673392, 
    1.653448, 1.657502, 1.679406, 1.711609, 1.745211, 1.774513, 1.803465, 
    1.831266, 1.844665, 1.835263, 1.813961, 1.787708, 1.764106, 1.742504, 
    1.718102, 1.689001, 1.661099, 1.642747, 1.635595, 1.639342, 1.64219, 
    1.638989, 1.630188, 1.616736, 1.607084, 1.607732, 1.61888, 1.642227, 
    1.653423, 1.644472, 1.643919, 0.8565258, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9298459, 3.091986, 3.072235, 3.046685, 
    3.023035, 3.001735, 2.975536, 2.944589, 2.914291, 2.884744, 2.854147, 
    2.822751, 2.794106, 2.766759, 2.736963, 2.701565, 2.666867, 2.637769, 
    2.61287, 2.590922, 2.575172, 2.565023, 2.558023, 2.552674, 2.549724, 
    2.549024, 2.549024, 2.549024, 2.549024, 2.549024, 2.549024, 2.549024, 
    2.549024, 2.549024, 2.549024, 2.548974, 2.548074, 2.545274, 2.540374, 
    2.532824, 2.522475, 2.511275, 2.496926, 2.477826, 2.455327, 2.431527, 
    2.402477, 2.366376, 2.327875, 2.290774, 2.24597, 2.193113, 2.136606, 
    2.0875, 1.333817, 0.1018954, 0.2962586, 0.4937644, 0, 0, 0.5803465, 
    1.931239, 1.924138, 1.908636, 1.864732, 1.817479, 1.766027, 1.698726, 
    1.629977, 1.562728, 1.48673, 1.403883, 1.335136, 1.287241, 1.244596, 
    1.202352, 0.9946137, 0.8593572, 1.160421, 1.068825, 0, 0, 0, 0, 0, 0, 0, 
    0.7165474, 1.469727, 1.474527, 1.480377, 1.489677, 1.509277, 1.540778, 
    1.584179, 1.65018, 1.729781, 1.814781, 1.90958, 2.01918, 2.131028, 
    2.231776, 2.327274, 2.420721, 2.501318, 2.563766, 2.613614, 2.653812, 
    2.68136, 2.69576, 2.700709, 2.697459, 2.68561,
  2.694007, 2.682107, 2.657709, 2.62881, 2.599011, 2.569563, 2.539814, 
    2.514415, 2.494766, 2.476517, 2.459918, 2.46337, 2.485772, 2.522524, 
    2.574177, 2.62928, 2.679783, 2.726086, 2.76689, 2.788892, 2.787793, 
    2.772343, 2.745593, 2.711641, 2.67604, 2.636239, 2.597087, 2.574285, 
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    2.656738, 2.746539, 2.837041, 2.904642, 2.933942, 2.928792, 2.914541, 
    2.87239, 2.806638, 2.735288, 2.678638, 2.635939, 2.63519, 2.674041, 
    2.734593, 2.798695, 2.864297, 2.92305, 2.968851, 3.003752, 3.026701, 
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    3.372746, 3.448298, 3.50145, 3.539, 3.573898, 3.610047, 3.646894, 
    3.68404, 3.716183, 3.776278, 3.875571, 4.040416, 4.228663, 4.360512, 
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    0.9024869, 1.794476, 1.776828, 1.757931, 1.721485, 1.676288, 1.641392, 
    1.641296, 1.66175, 1.696903, 1.740906, 1.783508, 1.819259, 1.85361, 
    1.885661, 1.89581, 1.879759, 1.849707, 1.814155, 1.781453, 1.753502, 
    1.724151, 1.6905, 1.65775, 1.633749, 1.620948, 1.617897, 1.614796, 
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    2.684165, 2.666766, 2.653617, 2.645267, 2.639367, 2.634668, 2.632218, 
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    1.618527, 1.653027, 1.699078, 1.767578, 1.848278, 1.932277, 2.024677, 
    2.129475, 2.233573, 2.326021, 2.412169, 2.495166, 2.564763, 2.618011, 
    2.660059, 2.692908, 2.714957, 2.726006, 2.729706, 2.726556, 2.716206,
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    2.575961, 2.560261, 2.545262, 2.533163, 2.544465, 2.576266, 2.623468, 
    2.687771, 2.757073, 2.820776, 2.880629, 2.934881, 2.968684, 2.973035, 
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    3.043832, 2.970931, 2.89603, 2.83898, 2.79808, 2.80108, 2.844281, 
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    3.562284, 3.648036, 3.707537, 3.745238, 3.775887, 3.805536, 3.831334, 
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    1.889205, 1.923905, 1.932755, 1.911004, 1.873153, 1.828651, 1.78745, 
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    2.139172, 2.23587, 2.330018, 2.412266, 2.487864, 2.559161, 2.617209, 
    2.661007, 2.695006, 2.721004, 2.738054, 2.746003, 2.748353, 2.745603, 
    2.736953,
  2.736002, 2.729002, 2.713903, 2.696654, 2.679005, 2.661005, 2.643106, 
    2.627357, 2.615508, 2.604708, 2.596959, 2.61621, 2.657262, 2.715113, 
    2.791865, 2.875017, 2.952269, 3.025671, 3.094373, 3.141276, 3.153277, 
    3.145328, 3.121129, 3.082679, 3.037779, 2.986228, 2.933627, 2.897926, 
    2.879525, 2.865674, 2.840923, 2.813123, 2.798023, 2.816173, 2.880374, 
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    3.066572, 3.148023, 3.236475, 3.317278, 3.37743, 3.415881, 3.436281, 
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    3.99002, 3.963716, 3.965761, 4.004906, 4.116501, 4.269298, 4.379995, 
    4.491744, 4.614342, 3.295593, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.501113, 1.600538, 1.607738, 1.608639, 1.60694, 1.60424, 1.598741, 
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    1.601099, 1.5963, 1.589, 1.574, 1.55145, 1.52775, 1.508249, 1.493648, 
    1.484296, 1.461896, 1.433995, 0.9229469, 0.07092835, 0, 0, 0, 0, 0, 0, 0, 
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    2.881994, 2.868995, 2.858796, 2.852648, 2.848599, 2.84525, 2.844001, 
    2.847402, 2.855203, 2.858754, 2.853555, 2.837055, 2.819906, 2.806506, 
    2.795557, 2.785657, 2.778008, 2.772508, 2.768758, 2.765658, 2.764208, 
    2.763508, 2.763508, 2.763509, 2.763508, 2.763508, 2.763508, 2.763509, 
    2.763508, 2.763508, 2.763508, 2.763509, 2.763208, 2.761259, 2.758609, 
    2.754459, 2.749009, 2.742509, 2.734259, 2.72221, 2.70521, 2.68326, 
    2.65466, 2.618561, 2.56956, 2.490257, 1.553552, 0.1169143, 0, 0, 
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    1.38624, 1.351242, 0.8639069, 1.216178, 1.265201, 0.9479048, 1.090997, 
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    1.861118, 1.840319, 1.827019, 1.827769, 1.832369, 1.841368, 1.864369, 
    1.90327, 1.95442, 2.02222, 2.095669, 2.170018, 2.248916, 2.335315, 
    2.418013, 2.488511, 2.552709, 2.611757, 2.658806, 2.693254, 2.719303, 
    2.739052, 2.751301, 2.757001, 2.758151, 2.755701, 2.749051,
  2.746501, 2.741601, 2.731402, 2.719352, 2.706503, 2.693653, 2.681054, 
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    2.88641, 2.982662, 3.072763, 3.159715, 3.243716, 3.303668, 3.325019, 
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    3.195963, 3.286414, 3.391567, 3.49402, 3.573023, 3.623825, 3.648725, 
    3.662025, 3.663775, 3.656673, 3.644372, 3.639269, 3.663916, 3.753715, 
    3.867115, 3.970766, 4.045016, 4.089967, 4.117217, 4.137517, 4.142066, 
    4.113863, 4.055909, 4.025755, 4.031652, 4.111998, 4.240845, 4.330992, 
    4.42639, 4.535789, 3.233291, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.875249, 1.819249, 1.767498, 1.728498, 1.695448, 1.662448, 1.635899, 
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    0, 0, 0.6459522, 0.9898615, 1.721135, 1.301891, 0.900844, 0.09042932, 0, 
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    1.304745, 0.8344504, 1.205764, 1.274702, 0.9748275, 1.1358, 0.6680285, 0, 
    0.4005916, 0.240355, 0, 0, 0.4958634, 1.012031, 1.037037, 1.332721, 
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    2.42531, 2.495658, 2.554507, 2.606706, 2.653854, 2.690703, 2.717002, 
    2.735951, 2.749701, 2.758201, 2.762001, 2.76265, 2.76035, 2.755651,
  2.754, 2.750851, 2.744401, 2.736551, 2.728251, 2.719952, 2.711602, 
    2.704502, 2.699003, 2.694553, 2.696503, 2.733004, 2.793504, 2.871155, 
    2.971456, 3.079857, 3.180758, 3.279558, 3.377259, 3.45056, 3.481011, 
    3.489762, 3.480313, 3.450613, 3.405013, 3.349613, 3.289913, 3.243712, 
    3.214262, 3.188312, 3.149161, 3.110161, 3.09101, 3.11421, 3.187911, 
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    3.507611, 3.40801, 3.313009, 3.240058, 3.187908, 3.181157, 3.223257, 
    3.296857, 3.400258, 3.53221, 3.666013, 3.774616, 3.847618, 3.883269, 
    3.898269, 3.895069, 3.875418, 3.839015, 3.803762, 3.80036, 3.870558, 
    3.978057, 4.085507, 4.166008, 4.217258, 4.247708, 4.266758, 4.263758, 
    4.215106, 4.125004, 4.060502, 4.033099, 4.082247, 4.183545, 4.249743, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3628053, 0.7238603, 1.373661, 
    1.445349, 1.451749, 1.467948, 1.483698, 1.494647, 1.500497, 1.503897, 
    1.505397, 1.505197, 1.504497, 1.499597, 1.504998, 1.545998, 1.604998, 
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    1.908749, 1.863749, 1.806699, 1.753049, 1.712749, 1.679449, 1.649049, 
    1.626949, 1.612, 1.603, 1.6007, 1.6018, 1.601001, 1.592501, 1.574602, 
    1.549902, 1.523252, 1.497302, 1.474401, 1.229618, 0.354196, 0, 0, 0, 0, 
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    2.426332, 2.828848, 2.821498, 2.823499, 2.83075, 2.8383, 2.84245, 2.845, 
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    2.846403, 2.843103, 2.839253, 2.834003, 2.825253, 2.812103, 2.792753, 
    2.768504, 2.740054, 2.685354, 1.930407, 0.3726932, 0, 0, 0, 0.5586851, 
    0.8643063, 1.601592, 0.797996, 0, 0, 0, 0, 0, 1.343393, 1.014995, 0, 0, 
    0.6596186, 1.273847, 1.268498, 1.267699, 1.271751, 1.296002, 1.337254, 
    0.8852785, 0.06828959, 0.2455874, 1.239567, 1.127899, 0.9412934, 
    0.9896008, 1.51983, 2.064056, 2.111156, 2.120256, 2.106257, 2.096458, 
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    2.609254, 2.650403, 2.686902, 2.714401, 2.733751, 2.747151, 2.75635, 
    2.7621, 2.764, 2.7645, 2.7629, 2.75975,
  2.7595, 2.75775, 2.75395, 2.74945, 2.745, 2.740201, 2.735101, 2.731101, 
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    4.151711, 4.11556, 4.042258, 3.961756, 3.916254, 3.954552, 4.047002, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0.07265553, 0.7261053, 1.086777, 1.44535, 
    1.44165, 1.4402, 1.44175, 1.44855, 1.456849, 1.463049, 1.466999, 
    1.469549, 1.470899, 1.470699, 1.469749, 1.467749, 1.477499, 1.521949, 
    1.582749, 1.651599, 1.723249, 1.783649, 1.829999, 1.870399, 1.906549, 
    1.917749, 1.894749, 1.851449, 1.794649, 1.74025, 1.69875, 1.6653, 
    1.63805, 1.62, 1.609, 1.6029, 1.60375, 1.60885, 1.61275, 1.609651, 
    1.597751, 1.575201, 1.549251, 1.522951, 1.498901, 1.033551, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9900746, 
    2.655488, 2.798749, 2.810499, 2.82645, 2.83805, 2.84215, 2.84325, 
    2.84855, 2.86415, 2.88125, 2.88775, 2.884799, 2.872999, 2.866999, 2.8695, 
    2.87585, 2.881251, 2.882551, 2.881251, 2.880651, 2.879551, 2.879001, 
    2.879001, 2.879001, 2.878551, 2.878351, 2.878001, 2.878001, 2.878001, 
    2.878001, 2.878001, 2.878001, 2.878401, 2.878001, 2.877501, 2.876651, 
    2.875401, 2.872751, 2.869501, 2.865201, 2.858551, 2.845451, 2.827001, 
    2.806451, 2.783601, 2.726501, 1.32125, 0, 0, 0, 0.3887796, 1.309165, 
    1.507796, 1.27933, 0.3857206, 0, 0, 0, 0, 0, 1.251947, 1.140262, 
    0.6312981, 0.6189471, 0.6721917, 1.233749, 1.244999, 1.26255, 0.7682613, 
    1.330502, 1.389752, 0.9565912, 0.7948605, 1.091046, 1.735004, 1.832654, 
    1.937154, 2.028404, 2.093503, 2.144953, 2.181102, 2.189752, 2.187003, 
    2.187053, 2.190453, 2.193753, 2.198254, 2.207654, 2.227904, 2.256454, 
    2.290254, 2.328954, 2.376454, 2.425054, 2.471753, 2.519503, 2.570252, 
    2.616602, 2.653502, 2.685151, 2.712501, 2.732251, 2.74575, 2.75505, 
    2.7609, 2.76415, 2.765, 2.7655, 2.76445, 2.76255,
  2.763, 2.7623, 2.7605, 2.75855, 2.75675, 2.7546, 2.75205, 2.7502, 2.749, 
    2.7492, 2.75785, 2.81055, 2.88525, 2.9715, 3.07275, 3.17705, 3.269, 
    3.3571, 3.4521, 3.52745, 3.55625, 3.56895, 3.5702, 3.5553, 3.519, 3.4722, 
    3.42195, 3.37325, 3.33475, 3.29555, 3.24695, 3.2045, 3.18925, 3.2279, 
    3.31535, 3.41815, 3.51275, 3.5993, 3.6755, 3.70995, 3.698, 3.6612, 
    3.57855, 3.47885, 3.4025, 3.35065, 3.3203, 3.3106, 3.34375, 3.421, 3.575, 
    3.7946, 4.015, 4.2011, 4.3362, 4.40255, 4.4205, 4.408, 4.3528, 4.2303, 
    4.09525, 3.998, 3.9931, 4.0599, 4.1555, 4.2413, 4.30665, 4.34965, 4.373, 
    4.361, 4.2858, 4.14825, 4.0265, 3.94605, 3.94055, 3.9938, 4.02775, 
    4.0687, 4.1124, 3.5262, 1.02775, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3635, 0.7256, 0.7962, 1.4481, 1.44425, 
    1.4397, 1.43615, 1.4347, 1.43425, 1.43625, 1.43945, 1.4421, 1.44425, 
    1.4457, 1.4464, 1.4457, 1.44425, 1.44245, 1.45345, 1.4986, 1.56, 1.62945, 
    1.7018, 1.7633, 1.8095, 1.84905, 1.88475, 1.89785, 1.878, 1.8382, 
    1.78395, 1.7296, 1.6875, 1.6545, 1.6306, 1.61675, 1.60925, 1.60595, 
    1.60975, 1.61825, 1.62625, 1.629, 1.6231, 1.60475, 1.5825, 1.55955, 
    1.5374, 1.0612, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.38665, 2.77575, 2.7995, 2.8236, 2.83685, 2.8389, 
    2.83675, 2.8388, 2.85245, 2.8697, 2.87275, 2.86775, 2.8572, 2.856, 2.865, 
    2.8782, 2.8906, 2.89635, 2.896, 2.896, 2.89555, 2.8955, 2.89525, 2.895, 
    2.89455, 2.8945, 2.89425, 2.894, 2.894, 2.894, 2.894, 2.89435, 2.8945, 
    2.8945, 2.894, 2.8935, 2.8924, 2.88975, 2.88675, 2.88235, 2.8747, 
    2.85675, 2.83625, 2.81855, 2.8, 2.33865, 0.662, 0, 0, 0.23055, 1.124, 
    1.42665, 1.3831, 0.9653, 0, 0, 0, 0, 0, 0, 1.15555, 1.2526, 1.2275, 
    0.7971, 1.14325, 1.2085, 1.23475, 1.2694, 0.79435, 1.376, 1.4535, 
    1.54185, 1.64045, 1.7458, 1.84925, 1.9471, 2.04535, 2.12495, 2.1785, 
    2.2198, 2.2446, 2.25515, 2.2615, 2.26925, 2.27985, 2.2891, 2.299, 
    2.31415, 2.33775, 2.3662, 2.396, 2.4293, 2.46895, 2.50895, 2.54675, 
    2.5849, 2.6252, 2.66085, 2.68875, 2.71175, 2.73115, 2.74505, 2.75425, 
    2.7603, 2.76345, 2.76515, 2.76575, 2.766, 2.76545, 2.76435,
  2.758, 2.758001, 2.757051, 2.756351, 2.75575, 2.75515, 2.754501, 2.754, 
    2.75375, 2.7556, 2.76675, 2.8256, 2.90275, 2.9876, 3.084, 3.17935, 
    3.260251, 3.336951, 3.420552, 3.489452, 3.514252, 3.529602, 3.539252, 
    3.534051, 3.505501, 3.46575, 3.42335, 3.37975, 3.33975, 3.295551, 
    3.238501, 3.187851, 3.167251, 3.202302, 3.283652, 3.377402, 3.462502, 
    3.538503, 3.603753, 3.637903, 3.632753, 3.602053, 3.529752, 3.443802, 
    3.381251, 3.343551, 3.3288, 3.33245, 3.3675, 3.44525, 3.633198, 3.903446, 
    4.169745, 4.394043, 4.554942, 4.633142, 4.650742, 4.632292, 4.559793, 
    4.382945, 4.189747, 4.039249, 3.988651, 4.026252, 4.108252, 4.192702, 
    4.261703, 4.308752, 4.333502, 4.319053, 4.235452, 4.084003, 3.947504, 
    3.852304, 3.827155, 3.863205, 3.888256, 3.917856, 3.949106, 3.997207, 
    3.004928, 0.5956046, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7235003, 1.444901, 1.4416, 1.43925, 1.436, 1.43205, 
    1.42905, 1.4272, 1.4265, 1.42685, 1.42795, 1.4288, 1.42975, 1.4307, 
    1.430451, 1.4292, 1.4275, 1.424401, 1.433451, 1.476801, 1.536001, 
    1.601501, 1.670901, 1.731001, 1.775252, 1.812152, 1.846902, 1.861752, 
    1.846002, 1.812751, 1.765251, 1.714701, 1.674501, 1.64375, 1.6237, 
    1.61495, 1.6115, 1.6105, 1.6168, 1.62865, 1.640499, 1.648849, 1.649049, 
    1.636249, 1.620499, 1.605798, 1.589448, 1.33753, 0.3952199, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1379105, 
    1.798774, 2.79275, 2.82185, 2.83415, 2.83155, 2.824251, 2.821851, 
    2.833101, 2.849601, 2.850251, 2.843901, 2.835851, 2.83985, 2.854251, 
    2.87355, 2.8923, 2.90065, 2.901, 2.901, 2.901, 2.90085, 2.90025, 2.9, 
    2.89995, 2.8995, 2.89925, 2.899, 2.899, 2.899, 2.899, 2.89935, 2.89955, 
    2.9, 2.8995, 2.89865, 2.8969, 2.8933, 2.889, 2.881901, 2.869101, 
    2.845501, 2.823751, 2.807951, 2.644362, 0.9681737, 0, 0, 0, 0.4410015, 
    1.405255, 1.292904, 1.260154, 0.879903, 0, 0, 0, 0, 0, 0, 0.6088378, 
    1.166503, 1.162502, 0.7517698, 1.117046, 1.19875, 1.23825, 1.287899, 
    1.349798, 1.432298, 1.526747, 1.628197, 1.736197, 1.846547, 1.951247, 
    2.045797, 2.135097, 2.201348, 2.241498, 2.277098, 2.302248, 2.320448, 
    2.333497, 2.347597, 2.364397, 2.379797, 2.394746, 2.413897, 2.437097, 
    2.462147, 2.487497, 2.515297, 2.547847, 2.579498, 2.609248, 2.638648, 
    2.668798, 2.695399, 2.715499, 2.731399, 2.74425, 2.75315, 2.75875, 
    2.76155, 2.76245, 2.7625, 2.76225, 2.7613, 2.760451, 2.759351,
  2.738502, 2.737802, 2.736452, 2.733353, 2.727253, 2.721854, 2.716005, 
    2.710306, 2.706507, 2.707957, 2.721357, 2.783857, 2.865506, 2.954855, 
    3.052255, 3.144655, 3.220254, 3.289555, 3.362505, 3.425406, 3.447506, 
    3.466106, 3.483905, 3.488654, 3.468254, 3.436303, 3.402252, 3.364552, 
    3.324252, 3.275902, 3.211353, 3.151853, 3.125504, 3.152704, 3.225006, 
    3.309256, 3.387256, 3.455107, 3.510058, 3.539459, 3.539508, 3.516807, 
    3.459156, 3.388105, 3.337254, 3.308454, 3.301004, 3.312654, 3.348754, 
    3.423704, 3.640952, 3.958049, 4.266496, 4.523843, 4.708392, 4.799991, 
    4.82099, 4.79999, 4.71609, 4.489344, 4.239498, 4.039002, 3.944505, 
    3.951158, 4.018009, 4.09781, 4.16766, 4.216209, 4.242509, 4.228209, 
    4.13641, 3.97901, 3.83626, 3.73236, 3.69451, 3.718911, 3.741261, 
    3.763962, 3.791062, 3.836711, 3.881761, 1.169853, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2140174, 1.073196, 1.431601, 
    1.429601, 1.428551, 1.426251, 1.422901, 1.420001, 1.417701, 1.416751, 
    1.416501, 1.416951, 1.417151, 1.417501, 1.417851, 1.417451, 1.416051, 
    1.414251, 1.410001, 1.416201, 1.453652, 1.505253, 1.562804, 1.625504, 
    1.680754, 1.722255, 1.756405, 1.790005, 1.806605, 1.797254, 1.773553, 
    1.736102, 1.693052, 1.657251, 1.629501, 1.613801, 1.6108, 1.61225, 
    1.61475, 1.6233, 1.637249, 1.652249, 1.665499, 1.672498, 1.666398, 
    1.658997, 1.653347, 1.644046, 1.627245, 0.8074974, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4163134, 
    2.100105, 2.825099, 2.83295, 2.8234, 2.810251, 2.803401, 2.812151, 
    2.827302, 2.826502, 2.820801, 2.816401, 2.825051, 2.844001, 2.86785, 
    2.8906, 2.90015, 2.90075, 2.901, 2.90095, 2.90035, 2.9, 2.89965, 2.89945, 
    2.89885, 2.8985, 2.8985, 2.8985, 2.8985, 2.8985, 2.8985, 2.899, 2.89935, 
    2.8985, 2.89695, 2.8938, 2.88755, 2.879751, 2.867752, 2.848052, 2.818353, 
    2.792753, 2.765405, 1.380419, 0, 0.5274196, 0.3164518, 0, 0.4047025, 
    1.290258, 1.193006, 1.170206, 0.9850281, 0.5631642, 0.1687243, 0, 0, 0, 
    0, 0.1109502, 1.111152, 1.119252, 1.137151, 1.163651, 1.201199, 1.252499, 
    1.314648, 1.392747, 1.490596, 1.594496, 1.699096, 1.812145, 1.921796, 
    2.022246, 2.112546, 2.191947, 2.246648, 2.282997, 2.320747, 2.352746, 
    2.377946, 2.396745, 2.416945, 2.439945, 2.461644, 2.480994, 2.501394, 
    2.522544, 2.544244, 2.565495, 2.587445, 2.612846, 2.637196, 2.659747, 
    2.681247, 2.702798, 2.721248, 2.734749, 2.745099, 2.75235, 2.7566, 
    2.7585, 2.758301, 2.756401, 2.753401, 2.750751, 2.747401, 2.744052, 
    2.741402,
  2.703505, 2.701405, 2.696606, 2.685157, 2.668258, 2.65206, 2.634561, 
    2.617762, 2.605263, 2.602564, 2.617714, 2.682863, 2.772512, 2.870911, 
    2.974061, 3.06896, 3.144761, 3.211111, 3.276212, 3.333312, 3.354512, 
    3.376412, 3.401461, 3.41461, 3.40226, 3.379059, 3.355107, 3.324806, 
    3.286506, 3.237005, 3.166856, 3.101007, 3.069757, 3.089958, 3.150059, 
    3.222361, 3.290513, 3.348514, 3.392915, 3.417265, 3.420265, 3.404715, 
    3.360363, 3.305562, 3.26651, 3.244259, 3.239158, 3.253008, 3.286509, 
    3.356409, 3.58496, 3.935557, 4.277504, 4.560301, 4.765899, 4.871098, 
    4.898498, 4.878297, 4.789298, 4.532549, 4.237253, 3.994458, 3.858512, 
    3.831166, 3.878518, 3.950369, 4.021219, 4.072819, 4.101768, 4.089068, 
    3.993918, 3.842067, 3.703516, 3.602065, 3.559615, 3.576666, 3.600765, 
    3.622765, 3.652964, 3.702564, 3.755512, 2.454001, 1.700311, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4260005, 1.419252, 
    1.417452, 1.416102, 1.415852, 1.414502, 1.411402, 1.408501, 1.406201, 
    1.405002, 1.404152, 1.403852, 1.402202, 1.401002, 1.400502, 1.400402, 
    1.399052, 1.397502, 1.392802, 1.396953, 1.424404, 1.466755, 1.515756, 
    1.571507, 1.620857, 1.659508, 1.691858, 1.724158, 1.743357, 1.743756, 
    1.730855, 1.703954, 1.669053, 1.638252, 1.613402, 1.601052, 1.604151, 
    1.611, 1.61785, 1.6287, 1.643549, 1.660249, 1.677299, 1.691048, 1.692997, 
    1.693496, 1.692946, 1.688796, 1.681095, 0.837747, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7049112, 
    1.415074, 2.695982, 2.82155, 2.8045, 2.7955, 2.8021, 2.814551, 2.811001, 
    2.806051, 2.805851, 2.81845, 2.841, 2.86635, 2.89005, 2.9, 2.90025, 
    2.9005, 2.90045, 2.9, 2.89975, 2.89915, 2.89895, 2.89835, 2.89775, 
    2.8975, 2.8975, 2.8975, 2.8975, 2.8975, 2.8984, 2.8982, 2.89675, 2.8939, 
    2.888201, 2.878001, 2.865252, 2.846903, 2.818804, 2.783904, 2.748505, 
    2.696308, 0.2682509, 0, 0.5276206, 0.3165724, 0, 0.3771026, 1.210257, 
    1.138303, 1.122652, 1.118552, 1.115503, 0.7186128, 0.4916376, 0, 0, 0, 
    0.5418011, 1.093401, 1.104, 1.12685, 1.163649, 1.212248, 1.272997, 
    1.345646, 1.436595, 1.544144, 1.650994, 1.753994, 1.867644, 1.973595, 
    2.068245, 2.153796, 2.226297, 2.278696, 2.319746, 2.360796, 2.398145, 
    2.428794, 2.452994, 2.477194, 2.503394, 2.527894, 2.548744, 2.567844, 
    2.586895, 2.604695, 2.621745, 2.638796, 2.657447, 2.675397, 2.690998, 
    2.705899, 2.720299, 2.7319, 2.740251, 2.745801, 2.748852, 2.749202, 
    2.747752, 2.744553, 2.739403, 2.733153, 2.727253, 2.721004, 2.714604, 
    2.709305,
  2.653009, 2.648809, 2.635911, 2.612963, 2.585264, 2.558616, 2.530067, 
    2.502369, 2.48077, 2.471771, 2.486572, 2.557321, 2.65502, 2.760768, 
    2.868818, 2.964968, 3.040018, 3.103868, 3.163519, 3.21342, 3.233021, 
    3.256471, 3.28607, 3.306069, 3.302268, 3.289016, 3.276514, 3.256113, 
    3.223512, 3.176211, 3.104361, 3.035611, 3.000012, 3.012713, 3.060565, 
    3.119717, 3.175019, 3.22122, 3.257221, 3.278722, 3.284271, 3.27407, 
    3.241419, 3.199617, 3.170016, 3.153716, 3.151865, 3.164916, 3.194516, 
    3.258067, 3.483218, 3.851467, 4.213765, 4.514812, 4.736411, 4.850609, 
    4.882508, 4.863658, 4.772608, 4.50531, 4.180762, 3.907316, 3.737021, 
    3.681575, 3.710277, 3.772579, 3.843429, 3.898728, 3.931278, 3.921827, 
    3.831925, 3.690674, 3.561772, 3.47067, 3.430669, 3.445219, 3.474268, 
    3.500167, 3.533168, 3.584218, 3.646267, 3.704467, 3.350166, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.07022856, 0.9134006, 
    1.404752, 1.402452, 1.401102, 1.401002, 1.400252, 1.397402, 1.394502, 
    1.392052, 1.390503, 1.389302, 1.386753, 1.381454, 1.377504, 1.375654, 
    1.375455, 1.374854, 1.374254, 1.370154, 1.370055, 1.388106, 1.423257, 
    1.465058, 1.513659, 1.55811, 1.59401, 1.623961, 1.654111, 1.67791, 
    1.688758, 1.686657, 1.670305, 1.643254, 1.616504, 1.593953, 1.585752, 
    1.595801, 1.6085, 1.61945, 1.633049, 1.648549, 1.665499, 1.684549, 
    1.703099, 1.710698, 1.714248, 1.113182, 0.9402343, 1.454476, 0.4256298, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.421597, 2.831248, 2.814747, 2.807346, 2.813296, 
    2.821647, 2.814747, 2.808548, 2.810848, 2.826397, 2.849498, 2.871548, 
    2.8916, 2.89965, 2.9, 2.9, 2.9, 2.89985, 2.89925, 2.89865, 2.8984, 
    2.8975, 2.897, 2.8965, 2.8965, 2.8965, 2.8965, 2.8965, 2.89735, 2.8967, 
    2.89475, 2.890001, 2.880701, 2.866152, 2.847503, 2.821854, 2.784356, 
    2.745506, 2.039209, 1.330456, 0.2476551, 1.120308, 0.5200913, 0, 0, 
    0.3600017, 1.167254, 1.117702, 1.105202, 1.100902, 1.096752, 1.091203, 
    1.030286, 0.3757853, 0, 0, 0.5416321, 1.09, 1.103, 1.129299, 1.171599, 
    1.225748, 1.293497, 1.374896, 1.475495, 1.589344, 1.695994, 1.797395, 
    1.908045, 2.010046, 2.100496, 2.180797, 2.252696, 2.310695, 2.356245, 
    2.397245, 2.435695, 2.468745, 2.494995, 2.520195, 2.545846, 2.569096, 
    2.588496, 2.605447, 2.621847, 2.636147, 2.648998, 2.661849, 2.674949, 
    2.6869, 2.696501, 2.705752, 2.714403, 2.721353, 2.725754, 2.727704, 
    2.727805, 2.725105, 2.720755, 2.714656, 2.706906, 2.697756, 2.688257, 
    2.678758, 2.669608, 2.661858,
  2.586514, 2.578115, 2.555317, 2.520769, 2.482271, 2.445524, 2.406525, 
    2.368427, 2.338779, 2.32313, 2.33788, 2.413829, 2.517778, 2.629427, 
    2.741127, 2.837527, 2.910527, 2.970578, 3.024329, 3.066581, 3.082282, 
    3.104632, 3.135382, 3.160882, 3.16578, 3.162628, 3.162376, 3.153023, 
    3.128772, 3.08632, 3.01577, 2.94602, 2.905771, 2.909273, 2.945525, 
    2.992527, 3.037529, 3.07553, 3.106531, 3.127831, 3.13678, 3.133128, 
    3.112276, 3.081074, 3.057523, 3.043422, 3.042073, 3.052173, 3.077524, 
    3.135425, 3.355826, 3.728026, 4.101025, 4.414523, 4.648121, 4.76967, 
    4.804769, 4.787369, 4.695569, 4.424119, 4.085771, 3.791874, 3.594928, 
    3.517232, 3.530035, 3.583436, 3.653287, 3.712636, 3.749285, 3.744634, 
    3.664632, 3.537429, 3.424275, 3.346823, 3.312671, 3.327871, 3.36377, 
    3.394418, 3.428818, 3.478468, 3.542268, 3.59627, 3.248769, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7024853, 1.396752, 1.389253, 
    1.385604, 1.384104, 1.384003, 1.383503, 1.380903, 1.378003, 1.375404, 
    1.373503, 1.371254, 1.364305, 1.354556, 1.347506, 1.343957, 1.343557, 
    1.344306, 1.345506, 1.343205, 1.340905, 1.353456, 1.382257, 1.418408, 
    1.461309, 1.501859, 1.53451, 1.560511, 1.587262, 1.616011, 1.63576, 
    1.643958, 1.638106, 1.618304, 1.201154, 0.7917021, 0.788951, 0.7959037, 
    1.206903, 1.052167, 0.8178121, 1.07527, 1.669499, 1.688899, 1.709049, 
    1.7174, 1.71975, 0.516, 0.08603283, 0.6022298, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2850998, 
    2.846797, 2.839494, 2.843041, 2.85169, 2.854941, 2.843492, 2.834843, 
    2.837793, 2.853293, 2.872244, 2.886646, 2.896399, 2.8988, 2.8995, 
    2.89985, 2.89995, 2.89935, 2.89875, 2.89815, 2.8975, 2.89685, 2.89625, 
    2.89565, 2.8955, 2.8955, 2.8955, 2.8955, 2.8963, 2.89505, 2.892251, 
    2.885601, 2.872602, 2.852803, 2.828004, 2.794455, 2.747357, 2.703358, 
    1.341005, 0.8655694, 1.288296, 2.19052, 1.016509, 0, 0.06207629, 
    0.7850855, 1.147753, 1.109151, 1.095201, 1.089751, 1.085001, 1.078851, 
    1.074651, 0.9118389, 0.2678977, 0, 0.05432073, 0.7093451, 1.10475, 
    1.134899, 1.181498, 1.238997, 1.310747, 1.397546, 1.503945, 1.620945, 
    1.724996, 1.824496, 1.932847, 2.034796, 2.122746, 2.200547, 2.273247, 
    2.333947, 2.380747, 2.420548, 2.457248, 2.489098, 2.514748, 2.538999, 
    2.562799, 2.5835, 2.6005, 2.615051, 2.628351, 2.639252, 2.648253, 
    2.656904, 2.664955, 2.671855, 2.677256, 2.681957, 2.686857, 2.690108, 
    2.691758, 2.691658, 2.689309, 2.68401, 2.67751, 2.66961, 2.658961, 
    2.646861, 2.634012, 2.621162, 2.609113, 2.598913,
  2.503021, 2.489022, 2.456175, 2.410228, 2.36153, 2.314932, 2.266034, 
    2.218636, 2.181538, 2.160189, 2.176339, 2.255238, 2.363287, 2.479736, 
    2.593486, 2.688787, 2.758038, 2.812589, 2.858741, 2.892593, 2.903044, 
    2.921545, 2.950796, 2.980395, 2.992794, 2.999591, 3.010889, 3.012936, 
    2.997784, 2.961982, 2.895081, 2.825281, 2.780532, 2.774984, 2.800486, 
    2.836789, 2.87429, 2.907941, 2.937241, 2.96009, 2.973539, 2.978237, 
    2.969285, 2.949532, 2.93203, 2.91978, 2.91753, 2.92543, 2.947281, 
    3.000982, 3.216083, 3.581736, 3.956037, 4.275736, 4.516935, 4.643135, 
    4.679534, 4.663084, 4.571584, 4.300284, 3.960533, 3.656483, 3.441037, 
    3.34549, 3.345293, 3.391994, 3.462644, 3.527542, 3.568791, 3.56979, 
    3.501187, 3.393381, 3.299277, 3.236674, 3.209722, 3.225822, 3.266521, 
    3.304069, 3.343568, 3.394067, 3.451769, 3.495122, 3.153571, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0771646, 0.7654988, 0.7399105, 
    0.7160715, 1.33077, 1.381704, 1.370755, 1.365405, 1.363605, 1.363655, 
    1.363505, 1.360905, 1.358055, 1.356205, 1.355004, 1.349955, 1.338306, 
    1.324157, 1.314258, 1.309258, 1.309208, 1.312557, 1.316756, 1.317455, 
    1.319054, 1.331053, 1.355754, 1.387455, 1.426356, 1.463306, 1.491508, 
    1.512709, 1.53561, 1.56571, 1.591759, 1.609057, 1.613354, 1.362862, 
    0.3989329, 0, 0, 0, 0.4034349, 0.242061, 0, 0.2497145, 0.8361333, 
    0.8458377, 1.627938, 1.7193, 1.290197, 0.2581183, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1429155, 1.857357, 2.870742, 2.895137, 2.910635, 2.906787, 2.888988, 
    2.87609, 2.87759, 2.889591, 2.901743, 2.904796, 2.90015, 2.893302, 
    2.894002, 2.895752, 2.897451, 2.89815, 2.89825, 2.89765, 2.897, 2.8962, 
    2.8955, 2.8948, 2.89405, 2.894, 2.171082, 1.448164, 2.750217, 2.8934, 
    2.889501, 2.880701, 2.863952, 2.838453, 2.807505, 2.766756, 2.709809, 
    2.65986, 1.944468, 2.08034, 2.300721, 1.810251, 0.4964776, 0, 0.6662514, 
    1.210203, 1.1415, 1.10675, 1.090701, 1.083601, 1.078751, 1.073901, 
    1.07165, 1.0715, 0.8033773, 0.1605763, 0.05412516, 0.7076763, 1.105, 
    1.138849, 1.188999, 1.055587, 0.6598024, 1.209291, 1.524096, 1.640847, 
    1.741747, 1.838098, 1.943699, 2.0457, 2.131251, 2.207351, 2.278301, 
    2.337502, 2.382502, 2.420853, 2.455753, 2.485954, 2.510504, 2.532604, 
    2.553755, 2.571256, 2.585507, 2.596957, 2.606858, 2.614359, 2.61976, 
    2.62481, 2.628961, 2.632112, 2.634512, 2.636563, 2.638464, 2.639663, 
    2.639764, 2.638114, 2.633865, 2.627065, 2.618765, 2.608716, 2.595417, 
    2.580117, 2.564268, 2.548419, 2.533169, 2.52032,
  2.402529, 2.383281, 2.340233, 2.284335, 2.226288, 2.17069, 2.112592, 
    2.056695, 2.012796, 1.987447, 2.004697, 2.084547, 2.194297, 2.313147, 
    2.427747, 2.520398, 2.584799, 2.632401, 2.670103, 2.694606, 2.699307, 
    2.712759, 2.73871, 2.77061, 2.788809, 2.804207, 2.825904, 2.838201, 
    2.831799, 2.803347, 2.741895, 2.673845, 2.626295, 2.614446, 2.631448, 
    2.6593, 2.692301, 2.724251, 2.754301, 2.7798, 2.798798, 2.811496, 
    2.814293, 2.80614, 2.795288, 2.785837, 2.783587, 2.790987, 2.810787, 
    2.861388, 3.06979, 3.424093, 3.787297, 4.102551, 4.343102, 4.469852, 
    4.505553, 4.490152, 4.400302, 4.13345, 3.801047, 3.500494, 3.277945, 
    3.171796, 3.162298, 3.204599, 3.276499, 3.347097, 3.392796, 3.399295, 
    3.34619, 3.261334, 3.185779, 3.138225, 3.121172, 3.138272, 3.179022, 
    3.22467, 3.273417, 2.826184, 2.544713, 3.407821, 1.723692, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8158455, 1.543294, 1.484498, 1.431651, 
    1.391253, 1.364655, 1.350255, 1.342856, 1.340156, 1.340306, 1.340257, 
    1.338106, 1.336056, 1.335006, 1.333506, 1.325007, 1.308809, 1.29041, 
    1.27801, 1.272261, 1.27341, 1.280459, 1.288508, 1.294806, 1.304253, 
    1.320052, 1.344252, 1.374401, 1.410852, 1.444752, 1.468753, 1.486104, 
    1.506155, 1.535005, 1.564754, 1.589253, 1.521794, 0.5595996, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.7728138, 0.8604608, 0.4302304, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.4302804, 2.181378, 2.950536, 2.973984, 2.961836, 2.936738, 
    2.918639, 2.91684, 2.922792, 2.926245, 2.916748, 2.896902, 2.880304, 
    2.882004, 2.886503, 2.891901, 2.895601, 2.89725, 2.89715, 2.89645, 
    2.89535, 2.89475, 2.8938, 2.8926, 2.8925, 1.44625, 0, 2.604, 2.8914, 
    2.886501, 2.875301, 2.854453, 2.824104, 2.787005, 2.739057, 2.67276, 
    2.617811, 2.535513, 2.400715, 2.227565, 1.46231, 0.4240227, 0.7913758, 
    1.286308, 1.207448, 1.143, 1.105501, 1.087701, 1.079601, 1.075251, 
    1.07195, 1.0706, 1.0705, 1.0705, 0.6957992, 0.591491, 1.0856, 1.10375, 
    1.1394, 1.19205, 0.8665992, 0, 1.013249, 1.534399, 1.6488, 1.744002, 
    1.835353, 1.937155, 2.034956, 2.117507, 2.191307, 2.260308, 2.317559, 
    2.360509, 2.39716, 2.43026, 2.458361, 2.480762, 2.500362, 2.518213, 
    2.531864, 2.542765, 2.551216, 2.557867, 2.562267, 2.565018, 2.567419, 
    2.568969, 2.56967, 2.57027, 2.57087, 2.57107, 2.571521, 2.570771, 
    2.567921, 2.562421, 2.554622, 2.544272, 2.532172, 2.516373, 2.498024, 
    2.479275, 2.460176, 2.441726, 2.425927,
  2.285038, 2.26159, 2.209842, 2.145894, 2.080046, 2.016649, 1.949751, 
    1.886403, 1.836555, 1.808756, 1.826456, 1.904756, 2.013807, 2.131958, 
    2.245109, 2.33421, 2.393312, 2.433514, 2.461567, 2.47662, 2.475571, 
    2.484323, 2.505974, 2.537375, 2.559574, 2.581422, 2.61192, 2.633467, 
    2.635564, 2.614562, 2.55936, 2.495808, 2.448308, 2.433008, 2.44396, 
    2.465911, 2.496062, 2.527612, 2.559362, 2.588011, 2.612309, 2.632757, 
    2.646804, 2.65005, 2.647297, 2.642446, 2.642144, 2.651144, 2.671293, 
    2.720493, 2.920396, 3.258802, 3.601559, 3.899866, 4.13097, 4.253922, 
    4.288822, 4.275771, 4.191219, 3.935414, 3.618058, 3.333251, 3.116548, 
    3.007798, 2.992299, 3.030351, 3.101351, 3.175351, 3.2253, 3.239197, 
    3.203442, 3.140635, 3.08278, 3.049425, 3.044122, 3.06512, 3.106769, 
    2.059192, 1.621694, 1.148354, 1.667007, 2.181829, 0.1688035, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4884503, 0.9219843, 1.581536, 1.562395, 
    1.490499, 1.428051, 1.379354, 1.346606, 1.328257, 1.318658, 1.315158, 
    1.314808, 1.314758, 1.313308, 1.312558, 1.312507, 1.309258, 1.296909, 
    1.27586, 1.253312, 1.239012, 1.232762, 1.235561, 1.24651, 1.259009, 
    1.272907, 1.292153, 1.315601, 1.343499, 1.375598, 1.412197, 1.443998, 
    1.465248, 1.480549, 1.498599, 1.52565, 1.55725, 1.586049, 0.8000426, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.485743, 3.001235, 3.025037, 3.00469, 2.973491, 2.951392, 2.946543, 
    2.945246, 2.937999, 2.916053, 2.883556, 2.863256, 2.867754, 2.875753, 
    2.885302, 2.892201, 2.895751, 2.8965, 2.89555, 2.89485, 2.894, 2.8928, 
    1.73586, 2.891001, 1.4455, 1.01123, 2.747062, 2.889251, 2.883251, 
    2.869902, 2.844953, 2.809904, 2.767006, 2.711858, 2.63776, 2.579761, 
    2.492011, 2.353861, 2.081173, 0.7224928, 0.847001, 1.58445, 1.368197, 
    1.206303, 1.137254, 1.102152, 1.085251, 1.077101, 1.07325, 1.0708, 
    1.0696, 1.0695, 1.0695, 1.0702, 1.074201, 1.082951, 1.101001, 1.136901, 
    1.128839, 0.628397, 0.3235514, 1.013252, 1.529904, 1.637557, 1.72476, 
    1.810911, 1.908162, 2.001564, 2.080765, 2.151916, 2.218366, 2.273617, 
    2.315017, 2.349768, 2.380719, 2.40627, 2.426021, 2.442272, 2.455773, 
    2.465474, 2.472776, 2.478327, 2.482377, 2.484478, 2.485778, 2.486378, 
    2.486528, 2.486529, 2.486529, 2.486529, 2.486528, 2.486529, 2.485528, 
    2.482079, 2.475829, 2.46633, 2.45453, 2.440631, 2.421931, 2.400782, 
    2.378783, 2.356434, 2.334785, 2.315886,
  2.151549, 2.12495, 2.066802, 1.996054, 1.924305, 1.854308, 1.78031, 
    1.710711, 1.656563, 1.626913, 1.643764, 1.718865, 1.824317, 1.939218, 
    2.04817, 2.132872, 2.186823, 2.220825, 2.239128, 2.245131, 2.238583, 
    2.242535, 2.259137, 2.288188, 2.312838, 2.338886, 2.375585, 2.405582, 
    2.41583, 2.402277, 2.354874, 2.298521, 2.254069, 2.23657, 2.243021, 
    2.261023, 2.288323, 2.319474, 2.352474, 2.383923, 2.412821, 2.440669, 
    2.464915, 2.479461, 2.485808, 2.488305, 2.492703, 2.506201, 2.529549, 
    2.578799, 2.766804, 3.082063, 3.397324, 3.670234, 3.883592, 3.999145, 
    4.034344, 4.025793, 3.951488, 3.716879, 3.426816, 3.168955, 2.970297, 
    2.866993, 2.848794, 2.882745, 2.950996, 3.024647, 3.077546, 3.097895, 
    3.074942, 3.031486, 2.990281, 2.969726, 2.975923, 3.005019, 2.288545, 
    0.4653213, 0.1599894, 1.605889, 1.638012, 1.645099, 1.63412, 1.135315, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3242258, 1.526371, 1.861039, 1.695743, 
    1.574847, 1.49325, 1.422502, 1.365955, 1.326907, 1.304508, 1.292609, 
    1.28816, 1.28716, 1.28726, 1.286659, 1.287109, 1.288658, 1.284259, 
    1.26761, 1.241912, 1.215563, 1.199014, 1.191914, 1.196164, 1.210713, 
    1.228011, 1.249509, 1.278705, 1.311902, 1.346499, 1.383197, 1.422446, 
    1.453696, 1.473496, 1.486997, 1.503147, 1.529298, 1.561747, 1.031435, 
    0.07980511, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7490172, 2.587903, 3.05999, 3.032443, 2.997993, 
    2.972994, 2.965245, 2.956697, 2.938751, 2.905404, 2.865256, 2.846505, 
    2.854254, 2.866203, 2.879252, 2.888801, 2.894251, 2.8955, 2.895, 2.8942, 
    2.893, 1.88065, 0.2892998, 1.878899, 2.166001, 2.455901, 2.889801, 
    2.886951, 2.879751, 2.864502, 2.836303, 2.796355, 2.748256, 2.686858, 
    2.60661, 2.546161, 2.457261, 2.319711, 1.948959, 0, 0.846999, 1.592845, 
    1.386041, 1.206697, 0.8534416, 0.9332151, 1.0843, 1.0756, 1.072, 1.0698, 
    1.069, 1.0685, 1.0685, 1.068851, 1.072101, 1.079002, 1.095253, 1.129704, 
    1.059254, 0.3855021, 0.9772719, 1.200119, 1.502065, 1.601117, 1.682019, 
    1.76362, 1.855272, 1.944024, 2.019526, 2.087677, 2.152327, 2.205678, 
    2.245528, 2.278379, 2.30673, 2.329681, 2.346532, 2.359183, 2.368834, 
    2.375235, 2.379535, 2.382436, 2.384487, 2.385687, 2.386037, 2.386037, 
    2.386037, 2.386038, 2.386037, 2.386037, 2.386037, 2.386038, 2.384788, 
    2.380738, 2.373738, 2.362539, 2.349289, 2.33324, 2.31234, 2.287892, 
    2.262293, 2.237044, 2.212245, 2.189647,
  2.004559, 1.97516, 1.912711, 1.837013, 1.761064, 1.686165, 1.607217, 
    1.532319, 1.47532, 1.44457, 1.459571, 1.529873, 1.629326, 1.738928, 
    1.84268, 1.922332, 1.972583, 2.002534, 2.013536, 2.011439, 2.000091, 
    1.998893, 2.009795, 2.035396, 2.060347, 2.088097, 2.127746, 2.163095, 
    2.179843, 2.17349, 2.135786, 2.088183, 2.048831, 2.030481, 2.033082, 
    2.047783, 2.072584, 2.102635, 2.135635, 2.169035, 2.201334, 2.235381, 
    2.269028, 2.294374, 2.30982, 2.320717, 2.333163, 2.35401, 2.383557, 
    2.433757, 2.604764, 2.88638, 3.167594, 3.411006, 3.600616, 3.707319, 
    3.744368, 3.742215, 3.683858, 3.484391, 3.237072, 3.019503, 2.85084, 
    2.761533, 2.744781, 2.775283, 2.838535, 2.908188, 2.960289, 2.982289, 
    2.964988, 2.934735, 2.907779, 2.896227, 2.915322, 2.512558, 0.750577, 0, 
    1.575833, 3.208005, 2.431376, 2.77808, 3.25791, 2.73944, 0.7956374, 0, 0, 
    0, 0, 0, 0, 0.4283702, 1.401171, 0.4123325, 0, 0.6512982, 2.084493, 
    1.885643, 1.711946, 1.582748, 1.493001, 1.415153, 1.351556, 1.306708, 
    1.280259, 1.26571, 1.259711, 1.258012, 1.258261, 1.259211, 1.26106, 
    1.26331, 1.25801, 1.237662, 1.207513, 1.177665, 1.158016, 1.149916, 
    1.154816, 1.172415, 1.194513, 1.22326, 1.263206, 1.307152, 1.349998, 
    1.392496, 1.435245, 1.467194, 1.486244, 1.497945, 1.512196, 1.536997, 
    1.172553, 0.2371823, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3679667, 0.6132778, 0, 0, 0, 0, 2.160542, 3.088689, 
    3.055341, 3.018742, 2.992292, 2.981893, 2.965946, 2.938499, 2.896702, 
    2.852053, 2.833604, 2.844003, 2.858952, 2.874702, 2.886101, 2.892751, 
    2.8945, 2.8944, 2.89335, 2.89225, 0.8674501, 0, 0.4335333, 2.166056, 
    2.887351, 2.887751, 2.884651, 2.876251, 2.859452, 2.828702, 2.784954, 
    2.732755, 2.666207, 2.581908, 2.521457, 2.433256, 2.297105, 1.931154, 0, 
    0.8544953, 1.611342, 1.341245, 0.606216, 0.2882216, 0.3835449, 0.5963258, 
    1.0751, 1.0715, 1.0693, 1.0689, 1.06785, 1.0675, 1.0675, 1.068552, 
    1.071954, 1.083756, 1.113758, 1.041559, 0.3769543, 1.287266, 1.36387, 
    1.448975, 1.541077, 1.617279, 1.693481, 1.778784, 1.861337, 1.932538, 
    1.99779, 2.060341, 2.111742, 2.149792, 2.180843, 2.207693, 2.228444, 
    2.242795, 2.253295, 2.260346, 2.264297, 2.267047, 2.268397, 2.269497, 
    2.270048, 2.270048, 2.270048, 2.270048, 2.270048, 2.270048, 2.270048, 
    2.270048, 2.270048, 2.268548, 2.264248, 2.255849, 2.243449, 2.228299, 
    2.21035, 2.186801, 2.159153, 2.130553, 2.101955, 2.074156, 2.047907,
  1.84507, 1.813921, 1.748772, 1.670922, 1.592572, 1.514923, 1.432724, 
    1.354575, 1.295575, 1.263876, 1.277177, 1.34108, 1.433833, 1.537085, 
    1.635238, 1.710889, 1.759339, 1.78749, 1.79484, 1.787492, 1.773842, 
    1.768243, 1.773296, 1.793649, 1.81685, 1.84425, 1.882952, 1.919852, 
    1.940351, 1.940198, 1.912295, 1.87494, 1.842586, 1.824236, 1.822588, 
    1.83304, 1.854842, 1.882243, 1.914144, 1.947195, 1.981095, 2.019543, 
    2.06159, 2.096636, 2.120832, 2.140479, 2.162225, 2.192471, 2.230067, 
    2.282366, 2.429278, 2.669646, 2.913362, 3.126625, 3.294982, 3.394734, 
    3.436881, 3.443676, 3.406416, 3.255543, 3.062069, 2.894497, 2.765728, 
    2.698667, 2.690262, 2.718612, 2.776014, 2.840416, 2.890766, 2.913466, 
    2.896666, 2.875063, 2.858759, 2.854356, 2.741773, 1.024268, 0, 1.089675, 
    3.002007, 3.21369, 3.246996, 3.255103, 3.235109, 3.194161, 2.363595, 
    1.540742, 0.3033924, 1.050159, 0, 1.033723, 1.463258, 1.863746, 2.788264, 
    1.738175, 1.244294, 1.472955, 2.095498, 1.897297, 1.720897, 1.587099, 
    1.491001, 1.407153, 1.337156, 1.287008, 1.25626, 1.238811, 1.231262, 
    1.229162, 1.230011, 1.231912, 1.234961, 1.237461, 1.231511, 1.208062, 
    1.174014, 1.140415, 1.117767, 1.108068, 1.113018, 1.133467, 1.160265, 
    1.196511, 1.247706, 1.303201, 1.355248, 1.403795, 1.449544, 1.481844, 
    1.500744, 1.511244, 1.522646, 1.309796, 0.3898304, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1010143, 1.40778, 1.766293, 
    1.258182, 1.364142, 1.443075, 1.509968, 2.64285, 3.117238, 3.078091, 
    3.039242, 3.011942, 2.999094, 2.976346, 2.940749, 2.893251, 2.845102, 
    2.825203, 2.838002, 2.855001, 2.8722, 2.88475, 2.89175, 2.89385, 2.8935, 
    2.89285, 2.169613, 0.4340178, 0, 0, 1.4425, 2.885001, 2.885701, 2.882501, 
    2.873251, 2.854902, 2.822652, 2.777153, 2.723252, 2.655352, 2.570651, 
    2.51285, 2.426, 2.287702, 1.920555, 0, 0.8600004, 1.617804, 1.276206, 0, 
    0, 0, 0.05384563, 0.6988195, 1.07175, 1.0698, 1.0689, 1.066901, 1.065251, 
    1.064652, 1.061554, 1.059606, 1.065509, 1.088912, 0.6265422, 0.5866174, 
    0.9442739, 1.307176, 1.379382, 1.463735, 1.534288, 1.604491, 1.682294, 
    1.757348, 1.822801, 1.884053, 1.943404, 1.992306, 2.028806, 2.058307, 
    2.084157, 2.103658, 2.116808, 2.126458, 2.132308, 2.134659, 2.136559, 
    2.137409, 2.138009, 2.138059, 2.138059, 2.138059, 2.138059, 2.138059, 
    2.138059, 2.138059, 2.138059, 2.138059, 2.136809, 2.13206, 2.12241, 
    2.10901, 2.092061, 2.071962, 2.045763, 2.015064, 1.983815, 1.951867, 
    1.921168, 1.892169,
  1.684572, 1.653072, 1.586822, 1.508123, 1.428573, 1.350073, 1.265774, 
    1.185775, 1.125575, 1.092326, 1.103677, 1.159981, 1.244585, 1.340389, 
    1.432492, 1.505593, 1.553343, 1.581493, 1.588243, 1.579942, 1.567341, 
    1.559292, 1.559643, 1.574096, 1.594097, 1.619698, 1.655999, 1.691351, 
    1.712851, 1.717199, 1.698445, 1.67234, 1.647836, 1.631035, 1.624587, 
    1.62934, 1.646093, 1.668446, 1.69575, 1.726051, 1.759852, 1.799952, 
    1.846901, 1.890897, 1.923843, 1.952239, 1.983334, 2.02358, 2.069076, 
    2.125424, 2.244736, 2.442756, 2.649123, 2.834835, 2.98874, 3.087239, 
    3.137635, 3.156178, 3.140319, 3.046492, 2.912813, 2.796639, 2.708672, 
    2.665912, 2.668508, 2.697706, 2.753056, 2.816255, 2.866005, 2.887407, 
    2.874753, 2.865695, 2.861987, 2.870179, 1.444019, 0, 0, 1.091612, 
    3.039222, 3.242534, 3.256994, 3.248353, 3.21416, 3.165215, 3.115519, 
    3.059523, 1.790202, 2.518813, 1.457397, 2.485663, 2.901176, 2.846723, 
    2.751269, 2.636215, 2.47971, 2.292751, 2.102496, 1.906644, 1.729096, 
    1.590099, 1.488252, 1.398654, 1.322158, 1.266111, 1.232012, 1.212612, 
    1.204362, 1.202812, 1.204012, 1.205912, 1.209462, 1.212461, 1.206012, 
    1.179963, 1.142464, 1.105016, 1.079267, 1.067169, 1.072069, 1.094368, 
    1.125266, 1.168764, 1.231658, 1.298603, 1.359499, 1.414096, 1.462345, 
    1.494495, 1.513245, 1.522196, 1.45227, 0.5394999, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.195756, 2.011264, 2.236065, 
    2.479386, 2.729401, 2.901138, 3.043481, 3.139627, 3.153779, 3.106883, 
    3.063986, 3.033688, 3.016941, 2.988194, 2.946496, 2.894648, 2.84285, 
    2.822649, 2.836999, 2.855199, 2.872699, 2.885249, 2.89175, 2.89335, 
    2.892601, 2.8922, 1.44575, 0, 0, 0, 1.44175, 2.883501, 2.883751, 
    2.880501, 2.871001, 2.851701, 2.819151, 2.77395, 2.720999, 2.655448, 
    2.572847, 2.518146, 2.429248, 2.284001, 1.9144, 0, 0.8609986, 1.065908, 
    0.6353888, 0, 0, 0, 0, 0.3220499, 1.0725, 1.0708, 1.06835, 1.063802, 
    1.060503, 1.059303, 1.051555, 1.043908, 1.04451, 0.6930044, 0.5403053, 
    0.401472, 0.6065134, 1.24383, 1.301837, 1.376942, 1.441045, 1.505497, 
    1.574401, 1.641055, 1.699809, 1.755062, 1.809964, 1.855866, 1.890317, 
    1.918118, 1.942219, 1.96067, 1.97332, 1.98212, 1.987321, 1.988871, 
    1.989822, 1.990422, 1.990622, 1.991072, 1.991071, 1.991071, 1.991071, 
    1.991072, 1.991071, 1.991071, 1.991071, 1.990922, 1.989322, 1.984222, 
    1.974322, 1.960022, 1.942572, 1.921272, 1.893772, 1.861622, 1.828572, 
    1.795172, 1.763172, 1.732872,
  1.535073, 1.504272, 1.438821, 1.361969, 1.287563, 1.213858, 1.133753, 
    1.057798, 1.000295, 0.9665942, 0.9749458, 1.024399, 1.097306, 1.179665, 
    1.260174, 1.324931, 1.367336, 1.392939, 1.400688, 1.393887, 1.383087, 
    1.374736, 1.371138, 1.38119, 1.398341, 1.421443, 1.454395, 1.485898, 
    1.506598, 1.513647, 1.503044, 1.486789, 1.468836, 1.454735, 1.445985, 
    1.445387, 1.454592, 1.469396, 1.490499, 1.51795, 1.549851, 1.589452, 
    1.637202, 1.686051, 1.726349, 1.763494, 1.805538, 1.854034, 1.906331, 
    1.967729, 2.06264, 2.220958, 2.393124, 2.556185, 2.700988, 2.802686, 
    2.862631, 2.894574, 2.899863, 2.862985, 2.788557, 2.721483, 2.668267, 
    2.645708, 2.659251, 2.694846, 2.752444, 2.815595, 2.863997, 2.881249, 
    2.874547, 2.884137, 2.166466, 1.447757, 0.145046, 0, 0, 0, 2.934672, 
    3.278381, 3.268744, 3.240205, 3.194859, 3.13951, 3.084261, 3.020265, 
    2.95587, 2.913823, 2.895772, 2.88297, 2.854469, 2.800621, 2.709771, 
    2.60037, 2.457511, 2.288104, 2.107749, 1.915847, 1.735948, 1.5916, 
    1.483503, 1.388006, 1.305259, 1.24451, 1.208511, 1.188261, 1.180361, 
    1.179311, 1.180511, 1.182411, 1.186011, 1.189311, 1.182261, 1.154562, 
    1.113514, 1.072765, 1.044266, 1.029768, 1.033669, 1.056968, 1.091017, 
    1.140813, 1.214159, 1.292004, 1.361, 1.420198, 1.470148, 1.501648, 
    1.520248, 1.5266, 1.373953, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.09474535, 0.9720783, 1.084091, 1.221329, 
    2.612017, 2.932281, 3.091223, 3.196268, 3.204672, 3.147927, 3.098231, 
    3.061834, 3.038888, 3.003991, 2.957493, 2.901546, 2.846197, 2.826297, 
    2.840997, 2.859197, 2.876198, 2.887798, 2.892749, 2.8928, 2.8916, 
    2.458137, 0.7234781, 0, 0, 0, 1.441, 2.882001, 2.881801, 2.878651, 
    2.8695, 2.85055, 2.81785, 2.774549, 2.724497, 2.662195, 2.582593, 
    2.531991, 2.442489, 2.296986, 1.928885, 0, 0.4316844, 0.2590107, 0, 0, 0, 
    0, 0, 0.3223498, 1.073749, 1.0716, 1.066351, 1.058553, 1.052755, 
    1.050106, 1.037958, 1.024212, 1.020763, 0.3064541, 0.4296323, 0.1628858, 
    0.8484913, 1.178883, 1.224488, 1.289143, 1.346547, 1.403951, 1.463406, 
    1.520461, 1.571316, 1.61937, 1.668073, 1.709476, 1.740578, 1.76573, 
    1.787281, 1.803733, 1.815084, 1.822934, 1.826885, 1.827585, 1.827835, 
    1.828086, 1.828136, 1.828586, 1.828586, 1.828586, 1.828586, 1.828586, 
    1.828586, 1.828586, 1.828586, 1.828436, 1.826835, 1.822085, 1.812385, 
    1.798834, 1.782333, 1.761982, 1.735381, 1.70493, 1.673328, 1.641376, 
    1.611125, 1.582023,
  1.399569, 1.370168, 1.307716, 1.23931, 1.175804, 1.111948, 1.042192, 
    0.9758875, 0.9255332, 0.8947804, 0.9006813, 0.9419371, 0.9990467, 
    1.063156, 1.126816, 1.177723, 1.210328, 1.229632, 1.236833, 1.232332, 
    1.22358, 1.215879, 1.210179, 1.21823, 1.23383, 1.254332, 1.282334, 
    1.308488, 1.32634, 1.33404, 1.329538, 1.320285, 1.306833, 1.294083, 
    1.285832, 1.283332, 1.288332, 1.298582, 1.316033, 1.340985, 1.371335, 
    1.409037, 1.455638, 1.503689, 1.54584, 1.58729, 1.634941, 1.688089, 
    1.744588, 1.809487, 1.894236, 2.022798, 2.16811, 2.315167, 2.455168, 
    2.562914, 2.633358, 2.67965, 2.70524, 2.708126, 2.683553, 2.658982, 
    2.634968, 2.634104, 2.662745, 2.710987, 2.775781, 2.842975, 2.892723, 
    2.907822, 2.762525, 1.450076, 0.7285417, 0, 0, 0, 0, 0, 2.987772, 
    3.310785, 3.275249, 3.224661, 3.172715, 3.113917, 3.053022, 2.979528, 
    2.904884, 2.859135, 2.843283, 2.833732, 2.80828, 2.751131, 2.663278, 
    2.56282, 2.435262, 2.278856, 2.106502, 1.917701, 1.735852, 1.587255, 
    1.473508, 1.373409, 1.28696, 1.22456, 1.187261, 1.166761, 1.15976, 
    1.15881, 1.16001, 1.16191, 1.16546, 1.168311, 1.160761, 1.131862, 
    1.088612, 1.046612, 1.016762, 1.000213, 1.002814, 1.026763, 1.063012, 
    1.11781, 1.199206, 1.285503, 1.359252, 1.420751, 1.470552, 1.500503, 
    1.518004, 1.520457, 1.362809, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6177272, 0, 0, 0, 1.249158, 1.941549, 
    3.144471, 3.258617, 3.261868, 3.193825, 3.136479, 3.092084, 3.061489, 
    3.020791, 2.969993, 2.911844, 2.855293, 2.835294, 2.849744, 2.866995, 
    2.882646, 2.892197, 2.894749, 2.89275, 2.890651, 2.02335, 0, 0, 0, 0, 
    1.44025, 2.880151, 2.880251, 2.877301, 2.86875, 2.8504, 2.818499, 
    2.778097, 2.732495, 2.673942, 2.59854, 2.551139, 2.465986, 2.32973, 
    1.964377, 0, 0, 0, 0, 0, 0, 0, 0, 0.3227997, 1.075499, 1.07185, 1.063302, 
    1.051804, 1.042756, 1.036858, 1.019861, 1.000014, 0.7487818, 0.1513645, 
    0.4459144, 0.670425, 1.076532, 1.114035, 1.151788, 1.207142, 1.257546, 
    1.305851, 1.355457, 1.403212, 1.445316, 1.48602, 1.527624, 1.562927, 
    1.590329, 1.612131, 1.630833, 1.645283, 1.655334, 1.662234, 1.665384, 
    1.665584, 1.665584, 1.665584, 1.665584, 1.665584, 1.665584, 1.665584, 
    1.665584, 1.665584, 1.665584, 1.665584, 1.665584, 1.665584, 1.664584, 
    1.660434, 1.651433, 1.639133, 1.624082, 1.605881, 1.582329, 1.554677, 
    1.526076, 1.497474, 1.470173, 1.443971,
  1.279566, 1.252614, 1.197558, 1.141001, 1.088295, 1.034189, 0.9741839, 
    0.9171784, 0.8742743, 0.8492206, 0.8534716, 0.8825296, 0.9230386, 
    0.9698484, 1.017058, 1.055315, 1.07882, 1.091473, 1.096125, 1.093874, 
    1.088822, 1.083419, 1.079517, 1.087567, 1.102068, 1.11972, 1.142323, 
    1.162476, 1.17533, 1.181531, 1.18048, 1.175328, 1.165326, 1.154275, 
    1.147274, 1.145473, 1.150573, 1.160573, 1.175974, 1.198026, 1.226078, 
    1.26078, 1.305082, 1.350733, 1.391084, 1.431435, 1.478136, 1.532386, 
    1.590336, 1.657035, 1.743084, 1.854192, 1.982348, 2.119953, 2.257354, 
    2.3723, 2.453594, 2.513886, 2.556227, 2.580966, 2.592799, 2.599735, 
    2.600471, 2.627004, 2.675241, 2.738182, 2.815724, 2.894516, 2.950212, 
    1.917938, 1.325348, 0, 0, 0, 0, 0, 0, 0, 3.033377, 3.34183, 3.283741, 
    3.209905, 3.14207, 3.067836, 2.991548, 2.905456, 2.824407, 2.778806, 
    2.762808, 2.755208, 2.735253, 2.684695, 2.609533, 2.524923, 2.410116, 
    2.263162, 2.096509, 1.909558, 1.726209, 1.573561, 1.456262, 1.355061, 
    1.268011, 1.205561, 1.16826, 1.14811, 1.14176, 1.141309, 1.142509, 
    1.144409, 1.14746, 1.14981, 1.14201, 1.11216, 1.069109, 1.027759, 
    0.9982585, 0.9810082, 0.9823593, 1.00606, 1.044009, 1.101907, 1.188605, 
    1.278955, 1.354004, 1.415055, 1.463106, 1.491557, 1.506759, 1.50586, 
    1.345261, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.299899, 0.6434968, 0.6853455, 0, 0, 0, 0, 0.4655437, 1.587354, 
    1.646373, 3.132186, 3.220546, 3.157248, 3.107949, 3.071701, 3.027701, 
    2.9755, 2.919098, 2.865695, 2.847143, 2.860744, 2.876445, 2.890046, 
    2.896598, 2.89625, 2.892051, 2.889201, 2.022301, 0, 0, 0, 0, 1.439501, 
    2.878651, 2.878751, 2.875801, 2.867751, 2.85025, 2.820499, 2.783147, 
    2.741995, 2.688241, 2.618138, 2.571788, 2.491735, 2.365829, 2.003429, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.3233997, 1.077499, 1.07175, 1.059752, 1.044554, 
    1.032256, 1.022409, 1.000012, 0.9753641, 0.4822585, 0, 0.8727734, 
    0.9902796, 1.019283, 1.050736, 1.083489, 1.131293, 1.175047, 1.214951, 
    1.255506, 1.294761, 1.329065, 1.363019, 1.397772, 1.427875, 1.451327, 
    1.470229, 1.48643, 1.499631, 1.508582, 1.514382, 1.517382, 1.517583, 
    1.517832, 1.518082, 1.518082, 1.518082, 1.518082, 1.518082, 1.518132, 
    1.518581, 1.518581, 1.518581, 1.518581, 1.518581, 1.517581, 1.513781, 
    1.505881, 1.49458, 1.481329, 1.465278, 1.444376, 1.419924, 1.394322, 
    1.369071, 1.344669, 1.321067,
  1.176059, 1.153306, 1.109498, 1.064541, 1.022285, 0.9779283, 0.9271726, 
    0.8788177, 0.8422641, 0.8218123, 0.8228652, 0.8395721, 0.865281, 
    0.8958908, 0.9277499, 0.9543568, 0.9705607, 0.9783629, 0.9808637, 
    0.9804126, 0.9798098, 0.979206, 0.9797527, 0.9892011, 1.003051, 1.017953, 
    1.034856, 1.04896, 1.056563, 1.060315, 1.060065, 1.057713, 1.051561, 
    1.044008, 1.039206, 1.038456, 1.043556, 1.052857, 1.065858, 1.083812, 
    1.107065, 1.136969, 1.176723, 1.219625, 1.257827, 1.296378, 1.34063, 
    1.392433, 1.449085, 1.515536, 1.601986, 1.705538, 1.822345, 1.952799, 
    2.088, 2.209546, 2.300591, 2.373433, 2.431573, 2.472564, 2.507304, 
    2.53819, 2.567319, 2.626696, 2.701227, 1.791755, 1.420876, 1.463529, 
    1.493116, 0.4507132, 0, 0, 0, 0, 0.1734327, 1.736125, 1.743815, 1.746612, 
    3.263536, 3.383919, 3.301487, 3.201555, 3.103726, 3.000546, 2.901561, 
    2.80152, 2.71947, 2.676118, 2.660815, 2.656362, 2.643158, 2.605551, 
    2.547293, 2.476785, 2.370932, 2.22908, 2.067776, 1.888268, 1.706116, 
    1.551166, 1.432767, 1.333964, 1.248962, 1.18801, 1.152259, 1.132958, 
    1.126808, 1.126808, 1.128008, 1.129559, 1.132009, 1.134159, 1.126009, 
    1.096509, 1.055107, 1.015556, 0.987005, 0.9696555, 0.9698557, 0.9924066, 
    1.030258, 1.089108, 1.177009, 1.26731, 1.341262, 1.399813, 1.444367, 
    1.471467, 1.484768, 1.482669, 1.393528, 0.4998738, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1620969, 0.8614232, 1.269674, 
    0.1307024, 0, 0, 0, 0, 0, 0, 0, 1.648659, 3.20832, 3.14327, 3.094319, 
    3.057417, 3.014515, 2.965013, 2.915157, 2.871398, 2.857994, 2.870494, 
    2.884396, 2.895547, 2.899199, 2.896001, 2.890701, 2.743531, 1.012065, 0, 
    0, 0, 0, 0.7204002, 1.4408, 2.733631, 2.8743, 2.86675, 2.85045, 2.822998, 
    2.788546, 2.751744, 2.70339, 2.639336, 2.208618, 1.253817, 1.193141, 
    1.012115, 0, 0, 0, 0, 0, 0, 0, 0.05403231, 0.7022258, 1.079499, 1.07165, 
    1.055803, 1.037155, 1.021257, 1.007459, 0.9806119, 0.9517145, 0.4685082, 
    0, 0.8340733, 0.9417791, 0.9650325, 0.9914355, 1.020637, 1.061641, 
    1.099045, 1.132249, 1.164954, 1.196108, 1.223812, 1.251516, 1.28037, 
    1.305822, 1.325574, 1.342176, 1.356427, 1.367828, 1.375579, 1.380879, 
    1.383479, 1.384079, 1.384329, 1.384929, 1.385129, 1.385578, 1.385578, 
    1.385928, 1.386128, 1.386578, 1.386578, 1.386928, 1.387078, 1.387078, 
    1.386078, 1.382627, 1.375876, 1.366026, 1.354574, 1.340323, 1.321921, 
    1.30067, 1.278318, 1.255966, 1.234614, 1.213662,
  1.090551, 1.073397, 1.04099, 1.007732, 0.975775, 0.9410189, 0.8995128, 
    0.8583086, 0.8270053, 0.808305, 0.8041089, 0.8105652, 0.8230233, 
    0.8389825, 0.8574406, 0.8741963, 0.8847997, 0.8901507, 0.8920505, 
    0.8937988, 0.8972964, 0.9018435, 0.908389, 0.919838, 0.9332883, 
    0.9460396, 0.9578926, 0.9665956, 0.9695486, 0.9707503, 0.9702006, 
    0.9700994, 0.967797, 0.9640946, 0.9621427, 0.9627916, 0.9670427, 
    0.9740947, 0.9836475, 0.9958017, 1.012806, 1.036111, 1.068417, 1.106071, 
    1.140575, 1.175428, 1.214133, 1.260238, 1.312591, 1.376144, 1.460647, 
    1.562847, 1.673597, 1.7987, 1.934897, 2.063942, 2.164834, 2.249976, 
    2.324565, 2.382002, 2.431294, 2.480584, 2.545359, 2.235127, 1.361564, 
    0.4144021, 0, 0, 0, 0, 0, 0, 0, 0, 1.790372, 3.544709, 3.553917, 
    3.550529, 3.512299, 3.427275, 3.311001, 3.173732, 3.035413, 2.904379, 
    2.78534, 2.675394, 2.592794, 2.55384, 2.544086, 2.545881, 2.540725, 
    2.513368, 2.467561, 2.406007, 2.305903, 2.168349, 2.013295, 1.845289, 
    1.670531, 1.519775, 1.40477, 1.310416, 1.229913, 1.17261, 1.139258, 
    1.121656, 1.115756, 1.115307, 1.116507, 1.117707, 1.119507, 1.121008, 
    1.112009, 1.083408, 1.044107, 1.006207, 0.9782563, 0.960107, 0.9588087, 
    0.9793104, 1.015012, 1.072414, 1.158016, 1.245718, 1.31702, 1.372223, 
    1.411976, 1.435529, 1.448029, 1.44548, 1.427632, 0.9831738, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3159116, 1.084302, 
    1.182791, 0.1211602, 0, 0, 0, 0, 0, 0, 0, 0.1607141, 1.598279, 2.326071, 
    3.052486, 3.02143, 2.984074, 2.940769, 2.90201, 2.87265, 2.868493, 
    2.880742, 2.892294, 2.899997, 2.89995, 2.895001, 2.889351, 2.598001, 0, 
    0, 0, 0, 0, 0, 0, 1.439785, 2.873301, 2.866001, 2.85065, 2.825499, 
    2.793947, 2.761244, 2.717342, 2.658689, 1.840641, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.5412715, 1.082199, 1.081249, 1.0712, 1.050804, 1.027757, 
    1.008759, 0.9918607, 0.9611133, 0.9284655, 0.456008, 0, 0.7999706, 
    0.8995752, 0.918028, 0.9396312, 0.9657835, 1.000488, 1.031542, 1.058396, 
    1.084001, 1.108604, 1.130558, 1.152512, 1.176315, 1.196918, 1.21357, 
    1.227772, 1.239973, 1.249874, 1.256575, 1.261525, 1.263975, 1.264575, 
    1.264825, 1.265775, 1.266175, 1.267225, 1.267574, 1.268274, 1.268624, 
    1.269073, 1.269073, 1.269424, 1.270023, 1.270073, 1.269323, 1.266473, 
    1.260872, 1.252321, 1.24257, 1.230368, 1.214867, 1.196415, 1.177312, 
    1.15821, 1.140057, 1.121906,
  1.022043, 1.011188, 0.9895305, 0.9671236, 0.9445177, 0.9187614, 0.8863051, 
    0.8515006, 0.8239986, 0.8048996, 0.7944543, 0.7918105, 0.7937666, 
    0.7974743, 0.8046318, 0.8134868, 0.8202886, 0.8249885, 0.8276875, 
    0.8321855, 0.8387837, 0.8471313, 0.8590784, 0.8724768, 0.8857766, 
    0.8962784, 0.9043306, 0.9085337, 0.9080355, 0.9078857, 0.9086834, 
    0.9108315, 0.9112801, 0.9103287, 0.9105777, 0.9119779, 0.9142795, 
    0.917982, 0.9216375, 0.9268428, 0.9360489, 0.9519045, 0.9764596, 
    1.007064, 1.03557, 1.064075, 1.09518, 1.134235, 1.18084, 1.238994, 
    1.318399, 1.418851, 1.529101, 1.654049, 1.795594, 1.934137, 2.046328, 
    2.145218, 2.237755, 2.315639, 2.37753, 2.437325, 1.392627, 0.921104, 0, 
    0, 0, 0.4860599, 1.628937, 1.644315, 0.1647161, 0, 0, 0, 1.808179, 
    3.680954, 3.678411, 3.652431, 3.583453, 3.468418, 3.316242, 3.134322, 
    2.949405, 2.784137, 2.642357, 2.524015, 1.383417, 1.244762, 1.241508, 
    2.072186, 2.429678, 2.41287, 2.377813, 2.323507, 2.228253, 2.093903, 
    1.94405, 1.783347, 1.619889, 1.479681, 1.373274, 1.285768, 1.211812, 
    1.159508, 1.129256, 1.113705, 1.108204, 1.107304, 1.108255, 1.108855, 
    1.109956, 1.110357, 1.100757, 1.072956, 1.035056, 0.9975551, 0.9690064, 
    0.9492081, 0.9447607, 0.9615641, 0.9942667, 1.04832, 1.129623, 1.213975, 
    1.282528, 1.33428, 1.370282, 1.389534, 1.402284, 1.399633, 1.379585, 
    0.9478248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.04838131, 0.6376309, 1.007304, 0.703234, 0.05683045, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.7623293, 1.514845, 2.824448, 2.945279, 2.913019, 2.887759, 
    2.874398, 2.880341, 2.891992, 2.901194, 2.904947, 2.900998, 2.8945, 
    2.888001, 2.597051, 0, 0, 0, 0, 0, 0, 0, 0.1439037, 1.868326, 2.8655, 
    2.850849, 2.827998, 2.799496, 2.770992, 2.731289, 2.678384, 1.856038, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.3795611, 0.9764486, 0.5421175, 0.8121331, 
    1.07095, 1.047051, 1.018206, 0.9962581, 0.9771095, 0.942662, 0.9073135, 
    0.6604512, 0.1291167, 0.7722175, 0.8651719, 0.8797745, 0.897177, 
    0.9190806, 0.9474851, 0.9722894, 0.9932432, 1.012997, 1.031901, 1.049054, 
    1.066207, 1.08531, 1.101663, 1.115315, 1.127216, 1.137517, 1.145919, 
    1.15132, 1.15567, 1.157971, 1.15872, 1.15932, 1.16027, 1.161119, 
    1.162369, 1.163319, 1.164269, 1.164669, 1.165719, 1.166068, 1.166068, 
    1.166968, 1.167068, 1.166568, 1.164318, 1.159917, 1.153265, 1.145314, 
    1.135612, 1.122859, 1.107307, 1.091805, 1.075953, 1.061001, 1.045948,
  0.9685353, 0.9629322, 0.9510255, 0.9380687, 0.9235128, 0.9058073, 
    0.8816516, 0.8530471, 0.8282451, 0.8076463, 0.7913501, 0.7810051, 
    0.7752602, 0.7705646, 0.7688201, 0.771574, 0.7762752, 0.7813248, 
    0.7862226, 0.7937701, 0.8025188, 0.8133675, 0.8275173, 0.8419675, 
    0.8547684, 0.8630198, 0.8681718, 0.8684245, 0.8662752, 0.8669237, 
    0.871121, 0.8765681, 0.8797654, 0.8808637, 0.8819636, 0.8826646, 
    0.8830158, 0.8823196, 0.878625, 0.8757314, 0.8767872, 0.8844935, 
    0.9010003, 0.9244059, 0.9458112, 0.9665175, 0.990073, 1.02093, 1.060336, 
    1.111292, 1.183597, 1.279602, 1.388354, 1.516002, 1.664298, 1.81269, 
    1.935583, 2.048323, 2.160059, 2.258495, 1.747167, 1.211718, 0.121983, 0, 
    0, 0, 0.1640532, 2.135651, 3.304437, 3.327049, 1.856303, 1.726951, 
    0.8804252, 0, 1.89716, 3.78909, 3.775448, 3.728209, 3.63682, 3.500985, 
    3.317507, 3.094836, 2.863521, 2.654454, 2.484374, 2.358726, 0.2332625, 0, 
    0.5594082, 1.956202, 2.323727, 2.31692, 2.291563, 2.244509, 2.151608, 
    2.017658, 1.871306, 1.714803, 1.562844, 1.435534, 1.339775, 1.261518, 
    1.195661, 1.149207, 1.122753, 1.108902, 1.104152, 1.103152, 1.103253, 
    1.103003, 1.102954, 1.101906, 1.091507, 1.063957, 1.026008, 0.9876094, 
    0.9567617, 0.9343138, 0.9256673, 0.9368721, 0.9655256, 1.015528, 
    1.092681, 1.173883, 1.240035, 1.289386, 1.322738, 1.33909, 1.350792, 
    1.348142, 1.326992, 0.909681, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4848163, 0.9699985, 0.9699985, 0.2909995, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.470274, 2.903382, 2.892261, 2.880801, 2.880893, 
    2.892691, 2.903491, 2.910443, 2.910595, 2.904247, 2.894999, 2.887151, 
    2.596151, 0, 0, 0, 0, 0, 0, 0, 0, 0.4311468, 2.149328, 2.852398, 
    2.832046, 2.807043, 2.78349, 2.750134, 2.704977, 1.876682, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.7612484, 0.9783486, 0, 0.2711568, 0.9088941, 1.044852, 
    1.010705, 0.984509, 0.9639098, 0.926262, 0.888514, 0.8612654, 0.543072, 
    0.7896552, 0.8359208, 0.8470233, 0.8612753, 0.8785285, 0.9011324, 
    0.920536, 0.9367892, 0.951942, 0.9658452, 0.9787984, 0.9921012, 1.007303, 
    1.019906, 1.030808, 1.04066, 1.049012, 1.055613, 1.060063, 1.063814, 
    1.065564, 1.066864, 1.067814, 1.068763, 1.070063, 1.071513, 1.073062, 
    1.074262, 1.075062, 1.075862, 1.076562, 1.076912, 1.077562, 1.078062, 
    1.077811, 1.076161, 1.07296, 1.068209, 1.062058, 1.054507, 1.044405, 
    1.032202, 1.02005, 1.007197, 0.9954944, 0.9839921,
  0.9275278, 0.9257751, 0.9215199, 0.9163647, 0.90876, 0.8976552, 0.88055, 
    0.8574461, 0.8352441, 0.8133948, 0.7927976, 0.7770009, 0.7655048, 
    0.7554086, 0.748461, 0.7479621, 0.7515128, 0.7575116, 0.7656588, 
    0.7762066, 0.7867552, 0.7983553, 0.8124557, 0.8260068, 0.8367591, 
    0.8426114, 0.8442149, 0.8416167, 0.8392663, 0.8418148, 0.849562, 
    0.8584597, 0.8652568, 0.8689045, 0.8708533, 0.8708534, 0.8692552, 
    0.8631097, 0.8520159, 0.840922, 0.8342782, 0.8339342, 0.8415912, 
    0.8572475, 0.8715532, 0.8844589, 0.9000158, 0.9224721, 0.9535786, 
    0.9958863, 1.059344, 1.1488, 1.252356, 1.380407, 1.532606, 1.688651, 
    1.819846, 1.944737, 2.075472, 1.863181, 0.5689021, 0, 0, 0, 0, 0, 
    0.3331927, 3.344531, 3.378699, 3.384862, 3.40632, 3.474026, 1.76974, 0, 
    1.907612, 3.84797, 3.831216, 3.771774, 3.665437, 3.508005, 3.296526, 
    3.036754, 2.635139, 1.294803, 1.74205, 2.189385, 1.137748, 1.030511, 
    1.613466, 2.202034, 2.222879, 2.224373, 2.206818, 2.165114, 2.074011, 
    1.940611, 1.79656, 1.643757, 1.503448, 1.390686, 1.307025, 1.239117, 
    1.182459, 1.142404, 1.120001, 1.107749, 1.104048, 1.102849, 1.10175, 
    1.100651, 1.099002, 1.095854, 1.083006, 1.054757, 1.015409, 0.9745108, 
    0.9410127, 0.9148663, 0.9010707, 0.9058758, 0.9300294, 0.9762324, 
    1.049686, 1.127788, 1.19179, 1.239342, 1.270743, 1.284545, 1.294046, 
    1.291645, 1.209792, 0.4452059, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.8779436, 0.9754928, 0.730882, 0.1458813, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.2853041, 2.861133, 2.882005, 2.885392, 2.891191, 
    2.90499, 2.916489, 2.92169, 2.918193, 2.908846, 2.896249, 2.886451, 
    2.594851, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7166363, 1.429066, 2.695122, 
    2.816392, 2.799486, 2.774878, 1.501239, 0.9457996, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.3817553, 0.9801487, 0.3808942, 0, 0.7458506, 1.041753, 1.002857, 
    0.9722599, 0.9490134, 0.9083158, 0.8680677, 0.8395182, 0.8165688, 
    0.8074691, 0.8093204, 0.8175222, 0.8288747, 0.8429263, 0.861229, 
    0.877031, 0.8896834, 0.9009864, 0.9114386, 0.9210405, 0.9313424, 
    0.9428958, 0.9526473, 0.9607996, 0.9682519, 0.974054, 0.9789556, 
    0.982806, 0.9859564, 0.9875565, 0.9888564, 0.9900564, 0.9912564, 
    0.9930057, 0.9946556, 0.9965556, 0.9977556, 0.9994048, 0.9998548, 
    1.000804, 1.001405, 1.002054, 1.002555, 1.002555, 1.001504, 0.9990039, 
    0.9955029, 0.9910516, 0.9855497, 0.9779477, 0.9689455, 0.9597933, 
    0.9502904, 0.9420379, 0.934534,
  0.8965226, 0.8979203, 0.899416, 0.8992133, 0.8970092, 0.8909558, 0.8790525, 
    0.8606986, 0.8404975, 0.8181975, 0.7951985, 0.7757511, 0.7610025, 
    0.7480033, 0.7390541, 0.7378042, 0.7410042, 0.748403, 0.7595509, 
    0.7721497, 0.7839991, 0.7951497, 0.8078518, 0.8187549, 0.8265076, 
    0.8293602, 0.8277618, 0.8231134, 0.8215125, 0.82656, 0.838456, 0.8510023, 
    0.8614991, 0.8677971, 0.871745, 0.8718947, 0.8674975, 0.8564509, 
    0.8380067, 0.8191133, 0.8050193, 0.7972252, 0.7970311, 0.8047379, 
    0.8127923, 0.8187479, 0.8260545, 0.8405113, 0.8633183, 0.8959265, 
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    1.831748, 1.978936, 1.777629, 0.5283636, 0, 0, 0, 0, 0, 1.711994, 
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    2.94101, 2.857284, 2.813805, 2.80798, 2.814802,
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    1.898058, 1.811507, 1.79153, 1.897717, 2.203854, 2.653793, 3.139945, 
    3.555021, 3.919672, 4.242394, 4.501801, 4.652445, 4.666014, 4.44166, 
    4.141738, 3.843507, 3.595579, 3.381389, 3.238242, 3.151289, 3.103883, 
    3.094022, 3.097267,
  3.392223, 3.421981, 3.481209, 3.599936, 3.741049, 3.951097, 4.240137, 
    4.548654, 4.842521, 5.137435, 5.413116, 5.661566, 5.84124, 5.983827, 
    6.060521, 6.082544, 6.090754, 6.094077, 6.097449, 6.099929, 6.099928, 
    6.099928, 6.099929, 6.09858, 6.090689, 6.076151, 6.05247, 6.020593, 
    5.984275, 5.940609, 5.885653, 5.823358, 5.763955, 5.7105, 5.660293, 
    5.618125, 5.586103, 5.561422, 5.542391, 5.5314, 5.5274, 5.527601, 5.5314, 
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    5.293337, 5.187978, 5.082082, 4.975804, 4.870196, 4.797684, 4.757568, 
    4.739459, 4.747949, 4.805439, 4.892071, 4.993052, 5.107971, 5.221854, 
    5.318423, 5.411174, 5.507288, 5.595973, 5.656119, 5.697007, 5.73352, 
    5.766177, 5.794279, 5.819223, 5.833714, 5.827879, 5.799199, 5.747806, 
    5.640471, 5.458015, 5.241152, 5.013129, 4.771594, 4.540683, 4.349115, 
    4.192531, 4.075987, 4.02841, 4.068221, 4.161919, 4.295823, 4.460361, 
    4.621229, 4.782421, 4.959871, 5.148708, 5.34371, 5.578577, 5.874078, 
    6.189265, 6.506598, 6.818696, 7.123585, 7.391358, 7.601262, 7.780452, 
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    10.92415, 11.48063, 11.82512, 11.89805, 11.72593, 11.28147, 10.60157, 
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    7.383039, 8.058502, 8.744126, 9.275764, 9.475485, 9.325541, 8.828905, 
    8.098286, 7.257145, 6.314163, 5.200077, 4.075882, 3.12184, 2.388326, 
    1.859617, 1.529352, 1.304585, 1.144571, 0.9986246, 0.9127761, 0.8780574, 
    0.8835859, 0.9299722, 0.9954015, 1.076007, 1.17726, 1.308074, 1.44984, 
    1.550673, 1.622807, 1.651857, 1.661115, 1.662186, 1.659768, 1.651856, 
    1.637453, 1.61985, 1.606099, 1.601329, 1.616425, 1.645663, 1.683637, 
    1.730204, 1.778918, 1.787545, 1.786632, 1.82983, 1.981545, 2.208151, 
    2.493511, 2.857967, 3.262695, 3.672685, 4.140132, 4.668252, 5.17023, 
    5.576743, 5.920856, 6.222304, 6.43713, 6.505084, 6.460296, 6.313685, 
    6.119962, 5.937087, 5.783162, 5.729731, 5.867365, 6.175148, 6.625379, 
    7.214272, 7.805003, 8.248731, 8.538875, 8.633152, 8.440996, 7.988155, 
    7.358967, 6.583125, 5.790942, 5.12454, 4.609269, 4.22629, 3.9909, 
    3.871422, 3.813879, 3.842935, 3.91992, 4.010053, 4.142579, 4.346883, 
    4.621088, 4.937034, 5.268419, 5.605513, 5.92516, 6.182922, 6.346058, 
    6.388813, 6.295808, 6.104564, 5.837286, 5.537783, 5.260648, 4.990295, 
    4.728742, 4.501188, 4.305332, 4.126462, 3.910238, 3.639915, 3.334721, 
    3.037285, 2.752067, 2.470279, 2.236814, 2.068978, 1.944177, 1.856367, 
    1.817937, 1.868781, 2.11691, 2.537223, 3.017927, 3.456903, 3.844797, 
    4.195812, 4.490098, 4.69466, 4.794719, 4.65407, 4.408146, 4.138467, 
    3.89599, 3.683797, 3.541047, 3.452991, 3.403429, 3.391523, 3.393718,
  3.685637, 3.717143, 3.781406, 3.903557, 4.045149, 4.237714, 4.46876, 
    4.708742, 4.93372, 5.158694, 5.357092, 5.525548, 5.632083, 5.705035, 
    5.731985, 5.741461, 5.743197, 5.743197, 5.743196, 5.743197, 5.743197, 
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    5.282723, 5.232826, 5.171691, 5.10359, 5.025999, 4.942838, 4.879374, 
    4.834551, 4.803001, 4.788074, 4.809544, 4.857146, 4.91769, 4.989675, 
    5.062765, 5.127791, 5.195993, 5.270103, 5.339866, 5.383689, 5.407918, 
    5.42258, 5.432339, 5.438359, 5.441236, 5.435279, 5.416257, 5.385721, 
    5.341923, 5.256583, 5.102265, 4.899087, 4.691373, 4.476271, 4.27482, 
    4.109197, 3.974005, 3.873934, 3.838006, 3.890095, 3.998917, 4.130847, 
    4.286591, 4.434016, 4.577583, 4.737443, 4.905035, 5.075387, 5.276145, 
    5.53122, 5.806815, 6.083253, 6.359013, 6.636151, 6.883363, 7.089127, 
    7.281645, 7.501, 7.764425, 8.072882, 8.449967, 8.950665, 9.573899, 
    10.2238, 10.86212, 11.45447, 11.8248, 11.91132, 11.74266, 11.29072, 
    10.59579, 9.753803, 8.794203, 7.723451, 6.705907, 5.898882, 5.239221, 
    4.704166, 4.32274, 4.091185, 3.9489, 3.863655, 3.817384, 3.781878, 
    3.73903, 3.690248, 3.639714, 3.60024, 3.577516, 3.591785, 3.649289, 
    3.745177, 3.898751, 4.138254, 4.460228, 4.853972, 5.333844, 5.93954, 
    6.596076, 7.23202, 7.885833, 8.544188, 9.042631, 9.206874, 9.018659, 
    8.466746, 7.675725, 6.790103, 5.822376, 4.718138, 3.6275, 2.717646, 
    2.034614, 1.56777, 1.308254, 1.151669, 1.043606, 0.9542102, 0.9163448, 
    0.9253148, 0.9745377, 1.066115, 1.174733, 1.293232, 1.43062, 1.598051, 
    1.752692, 1.848972, 1.917258, 1.945451, 1.955752, 1.959452, 1.959995, 
    1.955939, 1.947189, 1.935441, 1.92754, 1.926641, 1.93978, 1.964657, 
    1.997593, 2.037825, 2.078244, 2.078299, 2.041122, 2.011088, 2.033076, 
    2.109811, 2.23128, 2.412801, 2.637272, 2.890017, 3.212806, 3.639218, 
    4.087205, 4.498836, 4.902607, 5.330277, 5.687297, 5.881914, 5.951876, 
    5.915072, 5.818125, 5.710355, 5.611624, 5.573324, 5.658311, 5.898378, 
    6.276665, 6.796967, 7.334354, 7.742689, 8.010717, 8.100101, 7.929026, 
    7.521583, 6.950037, 6.242529, 5.523048, 4.909477, 4.429533, 4.070103, 
    3.846287, 3.730949, 3.674753, 3.698303, 3.775976, 3.883181, 4.042572, 
    4.289915, 4.631051, 5.018886, 5.429138, 5.870584, 6.300321, 6.640019, 
    6.843713, 6.889085, 6.74972, 6.492834, 6.155141, 5.770655, 5.389752, 
    5.022724, 4.686976, 4.412194, 4.20213, 4.038571, 3.851581, 3.616943, 
    3.342434, 3.066193, 2.795176, 2.524505, 2.296968, 2.130768, 2.005515, 
    1.915809, 1.871845, 1.888626, 2.072228, 2.441709, 2.884709, 3.324543, 
    3.733369, 4.11122, 4.437139, 4.677213, 4.848477, 4.805562, 4.634634, 
    4.418287, 4.193352, 3.983564, 3.840511, 3.750149, 3.69794, 3.68398, 
    3.685277,
  3.99424, 4.025029, 4.088057, 4.204564, 4.330303, 4.476935, 4.642334, 
    4.812111, 4.969057, 5.126008, 5.252554, 5.35136, 5.397105, 5.423338, 
    5.43396, 5.437438, 5.437438, 5.437438, 5.437438, 5.437438, 5.437438, 
    5.437438, 5.437438, 5.436389, 5.431446, 5.422655, 5.408226, 5.389398, 
    5.367525, 5.341457, 5.3079, 5.270646, 5.235443, 5.203382, 5.17312, 
    5.148204, 5.129079, 5.113797, 5.103011, 5.09612, 5.093873, 5.094073, 
    5.097873, 5.110621, 5.134621, 5.161773, 5.182013, 5.193243, 5.194581, 
    5.191371, 5.177849, 5.155182, 5.121801, 5.073014, 5.015069, 4.960049, 
    4.911039, 4.867949, 4.834182, 4.824823, 4.837703, 4.860366, 4.891818, 
    4.926582, 4.962681, 5.004728, 5.053826, 5.100586, 5.123804, 5.130237, 
    5.127238, 5.119946, 5.111866, 5.103097, 5.090603, 5.07253, 5.050683, 
    5.024314, 4.968078, 4.848061, 4.666354, 4.475852, 4.280709, 4.100424, 
    3.955103, 3.833551, 3.739065, 3.703094, 3.753344, 3.871899, 4.007494, 
    4.149948, 4.276513, 4.390419, 4.517156, 4.646923, 4.777318, 4.935028, 
    5.142133, 5.373851, 5.608088, 5.845482, 6.091152, 6.313751, 6.508401, 
    6.703453, 6.943912, 7.242108, 7.59444, 8.022753, 8.579287, 9.254153, 
    9.948598, 10.62729, 11.25939, 11.66413, 11.77666, 11.62736, 11.18801, 
    10.50079, 9.661242, 8.700934, 7.627815, 6.607738, 5.798848, 5.138352, 
    4.603961, 4.227678, 4.005152, 3.87609, 3.81346, 3.797667, 3.796741, 
    3.791277, 3.784482, 3.773926, 3.763777, 3.758486, 3.774431, 3.813989, 
    3.873069, 3.973033, 4.139872, 4.381631, 4.701368, 5.117404, 5.669144, 
    6.286453, 6.900187, 7.537043, 8.178555, 8.657157, 8.802517, 8.595435, 
    8.014269, 7.196127, 6.316995, 5.373457, 4.303559, 3.258851, 2.404179, 
    1.779812, 1.379318, 1.190531, 1.095642, 1.026254, 0.980938, 0.9913759, 
    1.045101, 1.138721, 1.276298, 1.428768, 1.585766, 1.748979, 1.932375, 
    2.083407, 2.174537, 2.238367, 2.263097, 2.272087, 2.276491, 2.277401, 
    2.275019, 2.268687, 2.260563, 2.254528, 2.255037, 2.266687, 2.286823, 
    2.313943, 2.346703, 2.375848, 2.353069, 2.26158, 2.148119, 2.062851, 
    2.018984, 2.006932, 2.033209, 2.100371, 2.211481, 2.411943, 2.748537, 
    3.142129, 3.54075, 3.974161, 4.490529, 4.972022, 5.287486, 5.468882, 
    5.540068, 5.53991, 5.505547, 5.457772, 5.432273, 5.469018, 5.632315, 
    5.923665, 6.360526, 6.824631, 7.186792, 7.431485, 7.512942, 7.362122, 
    7.005455, 6.501519, 5.875652, 5.242244, 4.696887, 4.248271, 3.893489, 
    3.666383, 3.549409, 3.497236, 3.516954, 3.59599, 3.720316, 3.907337, 
    4.195106, 4.593513, 5.041038, 5.516237, 6.046025, 6.569767, 6.979863, 
    7.2138, 7.254641, 7.076051, 6.768291, 6.379642, 5.932797, 5.474147, 
    5.036629, 4.64953, 4.350527, 4.139435, 3.99333, 3.830456, 3.623307, 
    3.373707, 3.115185, 2.855942, 2.593527, 2.368282, 2.202787, 2.076834, 
    1.985679, 1.938166, 1.936742, 2.068185, 2.369276, 2.756444, 3.168498, 
    3.56972, 3.96445, 4.318247, 4.588103, 4.809328, 4.857598, 4.780298, 
    4.636154, 4.458046, 4.279872, 4.142971, 4.053942, 4.002708, 3.989524, 
    3.991179,
  4.317154, 4.34585, 4.40197, 4.488998, 4.57527, 4.666426, 4.766795, 
    4.867506, 4.960636, 5.054113, 5.116491, 5.158916, 5.171471, 5.178442, 
    5.181867, 5.182165, 5.182165, 5.182165, 5.182164, 5.182165, 5.182165, 
    5.182165, 5.182164, 5.181416, 5.17792, 5.171982, 5.162498, 5.149922, 
    5.1355, 5.11793, 5.095671, 5.070868, 5.04766, 5.026199, 5.005734, 
    4.989213, 4.976787, 4.966456, 4.959219, 4.95513, 4.953583, 4.953783, 
    4.957532, 4.96983, 4.993831, 5.020979, 5.048947, 5.073769, 5.091151, 
    5.105039, 5.114282, 5.115427, 5.103319, 5.075462, 5.037254, 4.989932, 
    4.941949, 4.895009, 4.850848, 4.822413, 4.813369, 4.812378, 4.818083, 
    4.829795, 4.847961, 4.871375, 4.900225, 4.927168, 4.934028, 4.926893, 
    4.91281, 4.89603, 4.880656, 4.86704, 4.854031, 4.842401, 4.8342, 
    4.826709, 4.796186, 4.705169, 4.547757, 4.369298, 4.188447, 4.023345, 
    3.891668, 3.776066, 3.674199, 3.620894, 3.649889, 3.754131, 3.895076, 
    4.027044, 4.135696, 4.224048, 4.312325, 4.405938, 4.496344, 4.61051, 
    4.765821, 4.942244, 5.125078, 5.313522, 5.514373, 5.702067, 5.873647, 
    6.05822, 6.300326, 6.609766, 6.979013, 7.430879, 8.015256, 8.714977, 
    9.43311, 10.13796, 10.80054, 11.24016, 11.3885, 11.27682, 10.87702, 
    10.22892, 9.425028, 8.496517, 7.452145, 6.455946, 5.663404, 5.015038, 
    4.491306, 4.123954, 3.908381, 3.787303, 3.737832, 3.742528, 3.768052, 
    3.794654, 3.824168, 3.847577, 3.858685, 3.862395, 3.868932, 3.879761, 
    3.893848, 3.932378, 4.018138, 4.17238, 4.412251, 4.76172, 5.262402, 
    5.848459, 6.44948, 7.076753, 7.708014, 8.172055, 8.307069, 8.09456, 
    7.504962, 6.704781, 5.863139, 4.954988, 3.930321, 2.941241, 2.150687, 
    1.590075, 1.258933, 1.148852, 1.103408, 1.077569, 1.081298, 1.142486, 
    1.243361, 1.38273, 1.567451, 1.760684, 1.939602, 2.112211, 2.295161, 
    2.44225, 2.528584, 2.587971, 2.608258, 2.614498, 2.618541, 2.620489, 
    2.621043, 2.618251, 2.614307, 2.611416, 2.613368, 2.62391, 2.640044, 
    2.660726, 2.685002, 2.70242, 2.648115, 2.49676, 2.307709, 2.134826, 
    1.995332, 1.879612, 1.785035, 1.726539, 1.722624, 1.834653, 2.102951, 
    2.448652, 2.827434, 3.269287, 3.839019, 4.41901, 4.839175, 5.122135, 
    5.291228, 5.375616, 5.400925, 5.386248, 5.353343, 5.320181, 5.375031, 
    5.54886, 5.867371, 6.228956, 6.523546, 6.730726, 6.798922, 6.67076, 
    6.370596, 5.942747, 5.407437, 4.865728, 4.40043, 3.999144, 3.663965, 
    3.442711, 3.32946, 3.284789, 3.30981, 3.3991, 3.544379, 3.763899, 
    4.095707, 4.547042, 5.049777, 5.584722, 6.182892, 6.774103, 7.237302, 
    7.501994, 7.552173, 7.353111, 7.008245, 6.573047, 6.070024, 5.553795, 
    5.067602, 4.637781, 4.311029, 4.087328, 3.951107, 3.807926, 3.625861, 
    3.40175, 3.163171, 2.918623, 2.666212, 2.445893, 2.281798, 2.15585, 
    2.063144, 2.012937, 2.006272, 2.100653, 2.344738, 2.685425, 3.058432, 
    3.425155, 3.807889, 4.166986, 4.461211, 4.712409, 4.838164, 4.841414, 
    4.764053, 4.64923, 4.532762, 4.431321, 4.361338, 4.316115, 4.307283, 
    4.311193,
  4.631082, 4.647804, 4.678657, 4.717535, 4.754261, 4.792026, 4.831522, 
    4.869917, 4.905476, 4.941035, 4.961001, 4.973158, 4.976386, 4.977875, 
    4.977875, 4.977875, 4.977875, 4.977875, 4.977875, 4.977875, 4.977875, 
    4.977875, 4.977875, 4.977426, 4.975382, 4.972643, 4.96781, 4.96143, 
    4.954455, 4.945385, 4.933972, 4.921564, 4.909854, 4.899191, 4.888829, 
    4.880559, 4.874479, 4.869448, 4.865861, 4.864117, 4.863521, 4.863973, 
    4.867723, 4.880177, 4.904276, 4.931177, 4.96208, 4.990786, 5.013794, 
    5.034355, 5.051418, 5.060782, 5.056346, 5.036511, 5.00693, 4.965093, 
    4.921406, 4.877367, 4.832422, 4.797308, 4.779892, 4.770523, 4.766297, 
    4.769423, 4.779801, 4.795784, 4.815266, 4.832806, 4.83627, 4.827139, 
    4.812215, 4.795593, 4.780871, 4.767891, 4.757215, 4.751488, 4.753461, 
    4.756831, 4.740254, 4.66574, 4.525325, 4.357963, 4.186481, 4.02783, 
    3.897115, 3.771246, 3.642926, 3.556043, 3.552165, 3.624597, 3.746066, 
    3.863495, 3.956029, 4.02791, 4.095735, 4.172552, 4.242851, 4.329236, 
    4.443985, 4.570603, 4.699886, 4.834055, 4.979409, 5.120937, 5.256451, 
    5.412626, 5.629493, 5.919014, 6.269186, 6.70511, 7.270754, 7.949891, 
    8.651343, 9.345821, 10.00699, 10.46128, 10.63844, 10.57104, 10.23404, 
    9.661669, 8.93501, 8.083766, 7.11759, 6.192641, 5.457638, 4.857695, 
    4.376223, 4.040194, 3.844406, 3.737483, 3.700543, 3.716225, 3.753084, 
    3.792728, 3.837173, 3.873459, 3.888783, 3.886935, 3.870335, 3.843287, 
    3.812581, 3.794446, 3.807718, 3.884171, 4.052187, 4.339223, 4.788627, 
    5.344757, 5.932594, 6.547383, 7.163917, 7.60869, 7.733604, 7.524335, 
    6.962022, 6.216944, 5.423729, 4.562967, 3.596045, 2.674656, 1.957431, 
    1.464877, 1.213082, 1.17216, 1.170314, 1.189473, 1.2431, 1.356282, 
    1.504999, 1.690458, 1.921013, 2.1377, 2.321617, 2.497129, 2.680079, 
    2.824873, 2.907865, 2.963904, 2.980844, 2.984586, 2.987334, 2.989034, 
    2.990184, 2.989239, 2.987096, 2.986, 2.98825, 2.996542, 3.009082, 
    3.024764, 3.042895, 3.052068, 2.97924, 2.783123, 2.530067, 2.286093, 
    2.073968, 1.878971, 1.691333, 1.535232, 1.440095, 1.474111, 1.688227, 
    1.994344, 2.349645, 2.783386, 3.385637, 4.032374, 4.525834, 4.884213, 
    5.12896, 5.278486, 5.348696, 5.354418, 5.306617, 5.194015, 5.139788, 
    5.198589, 5.394605, 5.648, 5.862493, 6.01583, 6.069128, 5.964509, 
    5.717248, 5.359094, 4.904629, 4.444167, 4.048813, 3.706267, 3.416268, 
    3.220202, 3.120047, 3.083576, 3.11646, 3.221482, 3.39178, 3.645756, 
    4.021259, 4.522328, 5.074646, 5.662327, 6.318672, 6.962034, 7.460537, 
    7.746196, 7.797476, 7.581014, 7.208181, 6.73697, 6.189375, 5.626623, 
    5.10164, 4.637918, 4.282165, 4.046681, 3.914885, 3.784508, 3.620955, 
    3.417614, 3.197073, 2.967075, 2.727527, 2.517167, 2.357493, 2.233856, 
    2.142068, 2.091321, 2.086549, 2.161879, 2.36757, 2.667038, 3.002664, 
    3.3355, 3.68654, 4.025199, 4.320536, 4.582669, 4.76366, 4.830514, 
    4.814563, 4.759764, 4.705174, 4.661123, 4.631593, 4.612548, 4.613198, 
    4.621015,
  4.745234, 4.751539, 4.762446, 4.774781, 4.784718, 4.793249, 4.800577, 
    4.806355, 4.811131, 4.816258, 4.820633, 4.824067, 4.824067, 4.824067, 
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    4.824067, 4.824067, 4.823918, 4.823322, 4.822726, 4.821534, 4.819796, 
    4.818107, 4.815723, 4.812644, 4.809416, 4.806436, 4.803804, 4.801271, 
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    4.799761, 4.812662, 4.836761, 4.863661, 4.895615, 4.926374, 4.951782, 
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    4.886607, 4.844711, 4.801619, 4.764719, 4.742856, 4.728339, 4.718325, 
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    4.754742, 4.745213, 4.737081, 4.730353, 4.726676, 4.728405, 4.737681, 
    4.747657, 4.739994, 4.677591, 4.548836, 4.391366, 4.224679, 4.065729, 
    3.930111, 3.787112, 3.623138, 3.494133, 3.451647, 3.487918, 3.580046, 
    3.6805, 3.758868, 3.820817, 3.888893, 3.967537, 4.033708, 4.108593, 
    4.19943, 4.291976, 4.379154, 4.462084, 4.54319, 4.623294, 4.708035, 
    4.818347, 4.988058, 5.233688, 5.538809, 5.926859, 6.436986, 7.05453, 
    7.693352, 8.328674, 8.939264, 9.371475, 9.555659, 9.52401, 9.256136, 
    8.778606, 8.161464, 7.431334, 6.602042, 5.806422, 5.175183, 4.66217, 
    4.256106, 3.977024, 3.818164, 3.73661, 3.717824, 3.740994, 3.778842, 
    3.816686, 3.859128, 3.892572, 3.901554, 3.886007, 3.839, 3.767847, 
    3.690583, 3.618549, 3.567939, 3.576018, 3.67976, 3.907417, 4.301736, 
    4.823318, 5.390693, 5.986423, 6.580284, 7.000343, 7.114907, 6.915242, 
    6.406069, 5.725237, 4.989042, 4.185647, 3.287691, 2.445069, 1.808043, 
    1.394336, 1.230986, 1.240404, 1.283457, 1.349267, 1.454394, 1.620725, 
    1.817639, 2.048491, 2.310503, 2.536883, 2.726404, 2.905063, 3.088517, 
    3.231661, 3.311901, 3.365193, 3.379384, 3.380675, 3.382119, 3.383215, 
    3.383811, 3.383712, 3.383116, 3.382867, 3.385067, 3.390959, 3.400599, 
    3.411634, 3.424317, 3.426948, 3.346525, 3.118321, 2.809343, 2.5045, 
    2.231608, 1.970602, 1.706616, 1.46785, 1.293141, 1.24617, 1.404825, 
    1.669273, 1.99215, 2.414883, 3.043412, 3.737149, 4.284761, 4.702892, 
    5.011736, 5.218755, 5.329423, 5.354282, 5.2794, 5.084034, 4.925496, 
    4.872276, 4.948338, 5.09355, 5.228914, 5.329363, 5.368719, 5.286844, 
    5.092719, 4.80556, 4.433338, 4.054358, 3.72723, 3.441012, 3.192848, 
    3.020627, 2.93166, 2.904293, 2.951103, 3.078082, 3.277181, 3.566599, 
    3.98509, 4.532992, 5.132749, 5.769605, 6.477011, 7.160877, 7.685253, 
    7.984186, 8.026948, 7.790875, 7.392836, 6.889426, 6.301696, 5.696961, 
    5.135091, 4.63763, 4.253188, 4.009515, 3.878617, 3.754739, 3.603023, 
    3.412905, 3.203976, 2.98631, 2.76025, 2.564007, 2.422957, 2.315502, 
    2.24015, 2.20485, 2.217088, 2.290846, 2.470073, 2.736829, 3.036054, 
    3.327536, 3.637013, 3.938401, 4.204668, 4.445391, 4.642011, 4.74078, 
    4.757812, 4.736695, 4.71718, 4.70596, 4.703429, 4.707889, 4.717401, 
    4.729564,
  4.660709, 4.668766, 4.683031, 4.694791, 4.704251, 4.711259, 4.716617, 
    4.719872, 4.722028, 4.72418, 4.725786, 4.726937, 4.727541, 4.727793, 
    4.727793, 4.727793, 4.727793, 4.727793, 4.727793, 4.727793, 4.727793, 
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    4.731841, 4.744388, 4.767783, 4.795036, 4.827686, 4.859838, 4.887293, 
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    4.840842, 4.799894, 4.758045, 4.720942, 4.695583, 4.676872, 4.662709, 
    4.655491, 4.65728, 4.665369, 4.676258, 4.686846, 4.692245, 4.692057, 
    4.688321, 4.684538, 4.682057, 4.681677, 4.685302, 4.695982, 4.713661, 
    4.733097, 4.738144, 4.690695, 4.576597, 4.429585, 4.268407, 4.110314, 
    3.969649, 3.8118, 3.620894, 3.459483, 3.389184, 3.400093, 3.484613, 
    3.583798, 3.661726, 3.727401, 3.802723, 3.885256, 3.948971, 4.012311, 
    4.078261, 4.135281, 4.180276, 4.209845, 4.224096, 4.231211, 4.251697, 
    4.301939, 4.410173, 4.596604, 4.841084, 5.163251, 5.599891, 6.132438, 
    6.684494, 7.233404, 7.761822, 8.143025, 8.31466, 8.306517, 8.101606, 
    7.717754, 7.222853, 6.636329, 5.974625, 5.341969, 4.840361, 4.435286, 
    4.120852, 3.910789, 3.796693, 3.743082, 3.741079, 3.769494, 3.806591, 
    3.842987, 3.883181, 3.914472, 3.919565, 3.892787, 3.818866, 3.709516, 
    3.592516, 3.476206, 3.373873, 3.324313, 3.37044, 3.540805, 3.88113, 
    4.362433, 4.900064, 5.463573, 6.012519, 6.393756, 6.493495, 6.311626, 
    5.857361, 5.241168, 4.566922, 3.826533, 3.008766, 2.25925, 1.708545, 
    1.381473, 1.295334, 1.353136, 1.440827, 1.551966, 1.707422, 1.923822, 
    2.165655, 2.435813, 2.714309, 2.948179, 3.142339, 3.323547, 3.507798, 
    3.649796, 3.728597, 3.780445, 3.793345, 3.793345, 3.793594, 3.793842, 
    3.794295, 3.794345, 3.794345, 3.794346, 3.795942, 3.799837, 3.806578, 
    3.814019, 3.822307, 3.820244, 3.734281, 3.487309, 3.145316, 2.786754, 
    2.458128, 2.137189, 1.803415, 1.487572, 1.236981, 1.109923, 1.19569, 
    1.397935, 1.689601, 2.110857, 2.754982, 3.478092, 4.064034, 4.526798, 
    4.884126, 5.132934, 5.276232, 5.310938, 5.199731, 4.937, 4.69272, 
    4.546071, 4.522953, 4.583983, 4.663599, 4.728564, 4.758898, 4.703798, 
    4.565038, 4.352137, 4.066781, 3.772418, 3.515105, 3.285748, 3.083061, 
    2.939721, 2.863874, 2.844344, 2.899792, 3.037134, 3.251891, 3.563975, 
    4.010168, 4.589828, 5.221333, 5.890995, 6.632617, 7.346097, 7.890856, 
    8.194757, 8.223, 7.965028, 7.541146, 7.007708, 6.384957, 5.744254, 
    5.149758, 4.621767, 4.216773, 3.968817, 3.840883, 3.723807, 3.582491, 
    3.402224, 3.200248, 2.991272, 2.783351, 2.610296, 2.496526, 2.4146, 
    2.367287, 2.360072, 2.394079, 2.470036, 2.630484, 2.86406, 3.125536, 
    3.372661, 3.635072, 3.890431, 4.118513, 4.324912, 4.511073, 4.612724, 
    4.635631, 4.620739, 4.607648, 4.602005, 4.60316, 4.610268, 4.62338, 
    4.639442,
  4.565689, 4.57655, 4.595514, 4.611681, 4.624745, 4.63536, 4.644073, 
    4.649984, 4.654291, 4.657899, 4.661656, 4.663761, 4.665565, 4.666668, 
    4.666819, 4.666819, 4.66682, 4.666819, 4.666819, 4.666819, 4.66682, 
    4.666819, 4.666819, 4.666819, 4.66682, 4.666819, 4.666819, 4.666819, 
    4.66682, 4.666819, 4.666819, 4.666819, 4.66682, 4.666819, 4.666819, 
    4.666819, 4.66682, 4.666819, 4.666819, 4.666819, 4.66682, 4.667167, 
    4.669815, 4.68111, 4.703307, 4.729699, 4.761744, 4.793994, 4.822043, 
    4.847639, 4.871041, 4.888843, 4.892546, 4.88155, 4.860203, 4.824507, 
    4.785558, 4.74521, 4.703962, 4.666462, 4.638807, 4.616395, 4.598132, 
    4.586723, 4.585012, 4.589601, 4.597191, 4.604381, 4.608977, 4.610426, 
    4.610285, 4.610543, 4.612502, 4.617266, 4.627282, 4.6455, 4.671574, 
    4.702913, 4.725276, 4.697197, 4.59955, 4.465494, 4.313026, 4.158291, 
    4.014134, 3.841942, 3.631121, 2.940804, 1.678972, 1.681307, 1.724785, 
    1.776808, 2.747612, 3.732934, 3.81425, 3.891483, 3.946512, 3.996286, 
    4.038383, 4.062, 4.065993, 4.048625, 4.010842, 3.959805, 3.925721, 
    3.919267, 3.964332, 4.086492, 4.265495, 4.514112, 4.861205, 5.28673, 
    5.733457, 6.179144, 6.607945, 6.918645, 7.059618, 7.060721, 6.912945, 
    6.626364, 6.258773, 5.821595, 5.332193, 4.869226, 4.506012, 4.217981, 
    4.000983, 3.861646, 3.792025, 3.765056, 3.776997, 3.808905, 3.84465, 
    3.878638, 3.916178, 3.944567, 3.947361, 3.913393, 3.820392, 3.683366, 
    3.539143, 3.393163, 3.253206, 3.159334, 3.156194, 3.272384, 3.558364, 
    3.991757, 4.484291, 4.995703, 5.476122, 5.800475, 5.878348, 5.721878, 
    5.323196, 4.769837, 4.160244, 3.491186, 2.765084, 2.122831, 1.671214, 
    1.431993, 1.405311, 1.507944, 1.637167, 1.790194, 1.990876, 2.251256, 
    2.530914, 2.827675, 3.117552, 3.357018, 3.554277, 3.736829, 3.921228, 
    4.06323, 4.141778, 4.193026, 4.205774, 4.205774, 4.205774, 4.205774, 
    4.206222, 4.206271, 4.206271, 4.206271, 4.207321, 4.209666, 4.213759, 
    4.218199, 4.223189, 4.217127, 4.126964, 3.874048, 3.520568, 3.129068, 
    2.7545, 2.376024, 1.974266, 1.584589, 1.25991, 1.053866, 1.055162, 
    1.191849, 1.450877, 1.857278, 2.488978, 3.207896, 3.802814, 4.286132, 
    4.67405, 4.94916, 5.1057, 5.14326, 5.022, 4.729287, 4.438165, 4.232387, 
    4.14283, 4.148999, 4.193409, 4.235397, 4.263146, 4.236377, 4.151832, 
    4.013809, 3.818235, 3.609291, 3.420288, 3.247354, 3.09159, 2.977516, 
    2.914696, 2.899455, 2.953246, 3.08678, 3.299914, 3.617717, 4.073585, 
    4.661429, 5.297656, 5.972378, 6.719544, 7.440212, 7.98727, 8.286893, 
    8.298947, 8.023106, 7.583385, 7.036233, 6.39733, 5.742088, 5.134397, 
    4.593906, 4.182308, 3.936225, 3.815453, 3.708343, 3.578279, 3.410425, 
    3.218867, 3.024183, 2.841414, 2.694485, 2.601638, 2.538182, 2.510471, 
    2.523465, 2.573058, 2.651668, 2.791389, 2.988833, 3.215032, 3.426179, 
    3.649619, 3.866012, 4.060114, 4.235669, 4.402335, 4.501771, 4.524915, 
    4.510259, 4.497604, 4.492148, 4.4944, 4.502951, 4.518857, 4.538467,
  4.463687, 4.477696, 4.501612, 4.523378, 4.541245, 4.556659, 4.570477, 
    4.58039, 4.588053, 4.594664, 4.600721, 4.605231, 4.608586, 4.61089, 
    4.611794, 4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 
    4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 
    4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 
    4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 4.611844, 
    4.614143, 4.623185, 4.643326, 4.666966, 4.696305, 4.726543, 4.752784, 
    4.776225, 4.798466, 4.815309, 4.819508, 4.80936, 4.789163, 4.754466, 
    4.716017, 4.676521, 4.636374, 4.599127, 4.569772, 4.544617, 4.52316, 
    4.508952, 4.504245, 4.505837, 4.510177, 4.514268, 4.517211, 4.518764, 
    4.520265, 4.52277, 4.52773, 4.536541, 4.551858, 4.576931, 4.611308, 
    4.654089, 4.697907, 4.694285, 4.616806, 4.500118, 4.362173, 4.216061, 
    4.073225, 3.8901, 2.001049, 1.20825, 0, 0, 1.560114, 1.791595, 2.758684, 
    3.738552, 3.824715, 3.901026, 3.952021, 3.993195, 4.021966, 4.024921, 
    4.002868, 3.956658, 3.888, 3.805442, 3.740888, 3.701186, 3.704715, 
    3.780016, 3.908552, 4.095506, 4.356585, 4.670978, 4.998522, 5.321836, 
    5.626427, 5.843607, 5.934479, 5.923252, 5.812056, 5.611616, 5.362735, 
    5.070903, 4.751497, 4.455888, 4.226522, 4.04888, 3.923891, 3.847414, 
    3.814863, 3.809565, 3.831083, 3.864484, 3.897925, 3.928215, 3.961701, 
    3.986338, 3.986126, 3.947767, 3.840128, 3.682176, 3.516718, 3.348109, 
    3.180193, 3.054168, 3.01393, 3.086019, 3.319568, 3.703421, 4.144623, 
    4.597, 5.002924, 5.260564, 5.310169, 5.169135, 4.817354, 4.322019, 
    3.776153, 3.181315, 2.548338, 2.014857, 1.667261, 1.513505, 1.541673, 
    1.685391, 1.852903, 2.044563, 2.286282, 2.586395, 2.898839, 3.214744, 
    3.513824, 3.759345, 3.959704, 4.14326, 4.32771, 4.469859, 4.547707, 
    4.598959, 4.61171, 4.61171, 4.61171, 4.61171, 4.61171, 4.61171, 4.61171, 
    4.61171, 4.612207, 4.613002, 4.614443, 4.615885, 4.617574, 4.607663, 
    4.513905, 4.25599, 3.893816, 3.489638, 3.092314, 2.67993, 2.236378, 
    1.799613, 1.425335, 1.164088, 1.1018, 1.18574, 1.393501, 1.746828, 
    2.313586, 2.970041, 3.525486, 3.988246, 4.371151, 4.649865, 4.805973, 
    4.853975, 4.754768, 4.482805, 4.195345, 3.971158, 3.849264, 3.822592, 
    3.841929, 3.869351, 3.899264, 3.893664, 3.848804, 3.769337, 3.648771, 
    3.512109, 3.382225, 3.258611, 3.140607, 3.046957, 2.992779, 2.979533, 
    3.029116, 3.155036, 3.360707, 3.671714, 4.114418, 4.673904, 5.273709, 
    5.907793, 6.61081, 7.288585, 7.802377, 8.083844, 8.087437, 7.8153, 
    7.394733, 6.877262, 6.273123, 5.654886, 5.079772, 4.565167, 4.166846, 
    3.93089, 3.82133, 3.727169, 3.607144, 3.449663, 3.269692, 3.09359, 
    2.932744, 2.805242, 2.726375, 2.673748, 2.656272, 2.683062, 2.746001, 
    2.82922, 2.946612, 3.112977, 3.309294, 3.490212, 3.68072, 3.864426, 
    4.028188, 4.173046, 4.310803, 4.403124, 4.421703, 4.403185, 4.38712, 
    4.378859, 4.380403, 4.388952, 4.406908, 4.430019,
  4.357184, 4.373992, 4.40356, 4.430876, 4.454242, 4.474808, 4.494374, 
    4.508938, 4.5208, 4.53091, 4.53977, 4.547177, 4.552081, 4.555584, 
    4.557285, 4.557838, 4.557838, 4.557838, 4.557837, 4.557838, 4.557838, 
    4.557838, 4.557837, 4.557838, 4.558089, 4.558341, 4.558793, 4.558994, 
    4.559598, 4.560201, 4.560855, 4.561509, 4.562112, 4.562716, 4.562917, 
    4.56337, 4.56337, 4.56337, 4.563369, 4.563219, 4.562867, 4.562515, 
    4.563508, 4.568995, 4.584326, 4.603158, 4.627792, 4.653477, 4.675511, 
    4.694746, 4.712981, 4.726971, 4.730719, 4.720819, 4.701119, 4.666768, 
    4.628468, 4.590171, 4.551325, 4.514928, 4.484728, 4.458728, 4.435625, 
    4.419622, 4.413722, 4.413418, 4.415214, 4.41716, 4.418456, 4.419753, 
    4.421804, 4.425858, 4.433465, 4.445975, 4.466993, 4.500166, 4.543795, 
    4.597226, 4.65997, 4.684005, 4.633543, 4.54213, 4.427813, 4.299429, 
    4.167076, 3.981838, 0.3929336, 0, 0, 1.178937, 3.280128, 3.574523, 
    3.670824, 3.750316, 3.837258, 3.914201, 3.961535, 3.992752, 4.011422, 
    4.004055, 3.972199, 3.9162, 3.839156, 3.748415, 3.676223, 3.626766, 
    3.614594, 3.665899, 3.765089, 3.912903, 4.113264, 4.342365, 4.569929, 
    4.784873, 4.976814, 5.101838, 5.140558, 5.108662, 5.00943, 4.862136, 
    4.697567, 4.517311, 4.330755, 4.167499, 4.046407, 3.95325, 3.893878, 
    3.862624, 3.855879, 3.863805, 3.890216, 3.92286, 3.953402, 3.97974, 
    4.008728, 4.029417, 4.025858, 3.984852, 3.870551, 3.702442, 3.523821, 
    3.342404, 3.160737, 3.017962, 2.955719, 2.995992, 3.183672, 3.516468, 
    3.90571, 4.299136, 4.636355, 4.829433, 4.844325, 4.701801, 4.382926, 
    3.937306, 3.448409, 2.921044, 2.373326, 1.93346, 1.679309, 1.601866, 
    1.68467, 1.86708, 2.069123, 2.294965, 2.574619, 2.911423, 3.251242, 
    3.567842, 3.850319, 4.076387, 4.256059, 4.417527, 4.576178, 4.691122, 
    4.743979, 4.770586, 4.77735, 4.777803, 4.778054, 4.778658, 4.779312, 
    4.779966, 4.780569, 4.781173, 4.781374, 4.781977, 4.782329, 4.782681, 
    4.782732, 4.77586, 4.701228, 4.462805, 4.120843, 3.736233, 3.356255, 
    2.957366, 2.525331, 2.095282, 1.713614, 1.425653, 1.323153, 1.353346, 
    1.494593, 1.770208, 2.237967, 2.793366, 3.274533, 3.685066, 4.032452, 
    4.296854, 4.460741, 4.536853, 4.481769, 4.269985, 4.030424, 3.832815, 
    3.716841, 3.684577, 3.693931, 3.713059, 3.741086, 3.744088, 3.717407, 
    3.666595, 3.586754, 3.493424, 3.40239, 3.312052, 3.219959, 3.140796, 
    3.091552, 3.077645, 3.120472, 3.236645, 3.430957, 3.719721, 4.11866, 
    4.609169, 5.127938, 5.672931, 6.276781, 6.855878, 7.296156, 7.537755, 
    7.539904, 7.30018, 6.937084, 6.495652, 5.984989, 5.465051, 4.980144, 
    4.536815, 4.184405, 3.971093, 3.877246, 3.79563, 3.676562, 3.514669, 
    3.337457, 3.172877, 3.024046, 2.906758, 2.835521, 2.788431, 2.779357, 
    2.823166, 2.903177, 2.994004, 3.101049, 3.242034, 3.412564, 3.567342, 
    3.729165, 3.883082, 4.018251, 4.133117, 4.239223, 4.31234, 4.323719, 
    4.298698, 4.276779, 4.264467, 4.263407, 4.271455, 4.291009, 4.317417,
  4.245682, 4.265289, 4.300554, 4.333721, 4.362486, 4.388803, 4.413868, 
    4.433483, 4.449545, 4.463155, 4.475162, 4.484617, 4.491073, 4.495424, 
    4.497777, 4.498827, 4.498827, 4.498827, 4.498827, 4.498827, 4.498827, 
    4.498827, 4.498878, 4.499481, 4.500333, 4.501184, 4.502789, 4.504294, 
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    4.520536, 4.520888, 4.520888, 4.520838, 4.519935, 4.518631, 4.517328, 
    4.515469, 4.516355, 4.524835, 4.536815, 4.554844, 4.574474, 4.590254, 
    4.603586, 4.615515, 4.624195, 4.625936, 4.615785, 4.595531, 4.560227, 
    4.522179, 4.484831, 4.446882, 4.412189, 4.382944, 4.357195, 4.334551, 
    4.318604, 4.312704, 4.311704, 4.312252, 4.313351, 4.313699, 4.314398, 
    4.316849, 4.322303, 4.332209, 4.34842, 4.376091, 4.418067, 4.471796, 
    4.53673, 4.615325, 4.672026, 4.656587, 4.597735, 4.516791, 4.419953, 
    4.313754, 2.66597, 0.1982367, 0, 0, 1.165604, 3.342366, 3.639793, 
    3.727746, 3.797851, 3.875558, 3.94457, 2.975491, 1.9854, 3.802868, 
    3.990115, 3.957718, 3.904332, 3.832253, 3.746875, 3.677785, 3.627587, 
    3.608118, 3.643975, 3.722919, 3.8435, 4.004262, 4.182469, 4.352576, 
    4.506582, 4.637992, 4.712074, 4.72204, 4.682339, 4.592123, 4.472576, 
    4.351444, 4.229636, 4.113849, 4.022518, 3.965126, 3.922774, 3.899502, 
    3.894154, 3.902385, 3.917953, 3.947811, 3.978607, 4.005645, 4.027432, 
    4.051265, 4.067651, 4.061092, 4.017785, 3.903486, 3.734993, 3.555106, 
    3.373471, 3.193295, 3.050569, 2.979913, 2.99917, 3.150584, 3.433855, 
    3.769257, 4.103595, 4.380985, 4.516831, 4.494931, 4.341493, 4.04233, 
    3.636628, 3.197408, 2.730567, 2.255148, 1.888682, 1.710366, 1.697226, 
    1.829403, 2.047396, 2.278569, 2.533895, 2.846428, 3.208972, 3.546695, 
    3.836443, 4.076777, 4.258205, 4.395492, 4.51247, 4.621235, 4.684799, 
    4.700528, 4.702327, 4.703379, 4.704933, 4.706037, 4.708191, 4.710346, 
    4.712904, 4.71531, 4.717717, 4.719374, 4.721278, 4.722581, 4.723532, 
    4.724236, 4.722789, 4.676885, 4.480548, 4.185729, 3.84871, 3.512385, 
    3.155061, 2.766542, 2.377071, 2.020631, 1.728165, 1.60052, 1.585268, 
    1.662857, 1.858336, 2.221433, 2.668116, 3.064265, 3.411473, 3.717603, 
    3.96586, 4.141438, 4.256196, 4.263787, 4.132578, 3.964193, 3.822368, 
    3.740686, 3.722681, 3.733536, 3.747176, 3.765846, 3.764772, 3.739712, 
    3.695764, 3.629182, 3.552507, 3.477282, 3.402409, 3.324785, 3.255857, 
    3.211125, 3.196831, 3.233317, 3.337979, 3.513511, 3.766344, 4.10275, 
    4.5068, 4.925663, 5.362001, 5.842299, 6.29795, 6.64112, 6.825849, 
    6.821765, 6.625687, 6.335498, 5.991483, 5.600476, 5.20819, 4.842324, 
    4.499876, 4.221305, 4.048848, 3.974556, 3.897398, 3.765292, 3.585233, 
    3.396883, 3.227436, 3.072787, 2.951402, 2.883257, 2.838912, 2.843112, 
    2.908676, 3.009433, 3.11509, 3.233457, 3.372206, 3.525578, 3.656866, 
    3.792646, 3.919524, 4.027802, 4.114375, 4.188135, 4.230091, 4.226981, 
    4.194509, 4.16589, 4.148122, 4.143159, 4.150456, 4.171059, 4.199814,
  4.129179, 4.151587, 4.192554, 4.231568, 4.265733, 4.297446, 4.328312, 
    4.353026, 4.373036, 4.390245, 4.405104, 4.41671, 4.425066, 4.430269, 
    4.433219, 4.434319, 4.434319, 4.434319, 4.434319, 4.434319, 4.434319, 
    4.434319, 4.434872, 4.436122, 4.437573, 4.439377, 4.44233, 4.445735, 
    4.449841, 4.454648, 4.459805, 4.464409, 4.468365, 4.471969, 4.474876, 
    4.477327, 4.47863, 4.478881, 4.478279, 4.476276, 4.473873, 4.470767, 
    4.466815, 4.463052, 4.46383, 4.468108, 4.478337, 4.490164, 4.498744, 
    4.504873, 4.509001, 4.510029, 4.507163, 4.495909, 4.474003, 4.437199, 
    4.399398, 4.363002, 4.326458, 4.294114, 4.26692, 4.242877, 4.222485, 
    4.208392, 4.203447, 4.202698, 4.202748, 4.203196, 4.203196, 4.203896, 
    4.206848, 4.2134, 4.225957, 4.246219, 4.280787, 4.332615, 4.397295, 
    4.474931, 4.569623, 4.656288, 4.683311, 4.662722, 4.623394, 4.570925, 
    4.509066, 1.342538, 0, 0, 0, 0, 3.312596, 3.772532, 3.839113, 3.888545, 
    3.94658, 3.998776, 3.018991, 2.022439, 3.806349, 3.982894, 3.949738, 
    3.900849, 3.836922, 3.760901, 3.69707, 3.648628, 3.623616, 3.64503, 
    3.703724, 3.799155, 3.928269, 4.073079, 4.211901, 4.337438, 4.443236, 
    4.501013, 4.505015, 4.469487, 4.393231, 4.294039, 4.197455, 4.104371, 
    4.022495, 3.964812, 3.936968, 3.92172, 3.920714, 3.931652, 3.950378, 
    3.972245, 4.00455, 4.033696, 4.056384, 4.072767, 4.089848, 4.10043, 
    4.089816, 4.044562, 3.93011, 3.764319, 3.590086, 3.417621, 3.25273, 
    3.123731, 3.056756, 3.06534, 3.189476, 3.43198, 3.719214, 4.000836, 
    4.222389, 4.303191, 4.247456, 4.080118, 3.7937, 3.42048, 3.023634, 
    2.607906, 2.193359, 1.891178, 1.772975, 1.809086, 1.981229, 2.228045, 
    2.483555, 2.763565, 3.100014, 3.4584, 3.765007, 4.01841, 4.217047, 
    4.355633, 4.452826, 4.527968, 4.590147, 4.612507, 4.615004, 4.616804, 
    4.618405, 4.621359, 4.624014, 4.627717, 4.631874, 4.636981, 4.641787, 
    4.646242, 4.650298, 4.654054, 4.656809, 4.659215, 4.66122, 4.661073, 
    4.624328, 4.460594, 4.212622, 3.923352, 3.632024, 3.319695, 2.979378, 
    2.637259, 2.322779, 2.057291, 1.926517, 1.887286, 1.923819, 2.056192, 
    2.327389, 2.676015, 2.995092, 3.282002, 3.549007, 3.779805, 3.957539, 
    4.09541, 4.153549, 4.092997, 3.986926, 3.894122, 3.843375, 3.833124, 
    3.84055, 3.845866, 3.852982, 3.842756, 3.814197, 3.772004, 3.711369, 
    3.643744, 3.578021, 3.512998, 3.445226, 3.385303, 3.347623, 3.336184, 
    3.368323, 3.459387, 3.610018, 3.822916, 4.093448, 4.407303, 4.72197, 
    5.045361, 5.39751, 5.726665, 5.968941, 6.092678, 6.073428, 5.923208, 
    5.712584, 5.472619, 5.205053, 4.942602, 4.696374, 4.461312, 4.264783, 
    4.141862, 4.077008, 3.988303, 3.83469, 3.633132, 3.427286, 3.241392, 
    3.068743, 2.932145, 2.857857, 2.813703, 2.835953, 2.92361, 3.044765, 
    3.171524, 3.313737, 3.470537, 3.618937, 3.738282, 3.858064, 3.961808, 
    4.047556, 4.108793, 4.151061, 4.159672, 4.134009, 4.092632, 4.055956, 
    4.031438, 4.021925, 4.026061, 4.046709, 4.078067,
  4.010191, 4.035046, 4.081057, 4.125269, 4.164481, 4.201245, 4.237758, 
    4.267571, 4.291282, 4.31184, 4.329648, 4.344156, 4.354059, 4.360462, 
    4.363713, 4.364813, 4.364813, 4.364813, 4.364813, 4.364813, 4.364813, 
    4.364813, 4.365813, 4.367263, 4.369567, 4.37257, 4.376873, 4.382179, 
    4.388083, 4.395037, 4.402794, 4.410002, 4.415857, 4.421011, 4.425765, 
    4.429118, 4.43137, 4.43187, 4.43072, 4.427617, 4.424114, 4.41921, 
    4.413705, 4.4067, 4.400836, 4.396714, 4.39834, 4.401718, 4.402496, 
    4.400826, 4.396051, 4.388427, 4.378406, 4.363491, 4.339536, 4.301533, 
    4.263885, 4.22904, 4.194896, 4.164701, 4.14016, 4.119118, 4.101927, 
    4.090635, 4.087942, 4.087693, 4.087693, 4.087693, 4.087693, 4.088393, 
    4.091894, 4.099849, 4.114955, 4.139516, 4.181488, 4.243815, 4.320046, 
    4.411332, 4.522276, 4.633441, 4.702541, 4.721591, 4.728614, 4.000594, 
    2.294755, 0.685069, 0, 0, 0, 0, 3.505271, 3.958801, 3.996719, 4.018893, 
    4.051171, 4.083118, 4.076478, 4.058633, 4.035336, 4.000848, 3.963332, 
    3.915326, 3.856179, 3.787589, 3.728848, 3.681999, 3.651632, 3.658893, 
    3.697492, 3.767225, 3.865297, 3.979072, 4.090706, 4.194303, 4.283416, 
    4.333799, 4.339105, 4.312228, 4.25212, 4.173873, 4.098771, 4.028576, 
    3.971433, 3.936638, 3.92723, 3.929019, 3.943155, 3.967187, 3.995361, 
    4.02423, 4.058837, 4.086283, 4.104622, 4.114906, 4.123833, 4.126258, 
    4.110042, 4.061981, 3.947332, 3.785142, 3.61756, 3.459451, 3.318469, 
    3.21078, 3.155768, 3.162323, 3.267837, 3.478615, 3.726322, 3.964569, 
    4.133939, 4.163566, 4.077892, 3.899874, 3.623796, 3.277257, 2.916546, 
    2.546415, 2.189065, 1.945657, 1.877325, 1.95036, 2.15132, 2.420372, 
    2.694813, 2.993402, 3.327643, 3.656703, 3.928864, 4.145718, 4.303363, 
    4.400256, 4.458456, 4.494608, 4.51561, 4.518847, 4.520748, 4.522648, 
    4.525352, 4.529304, 4.533758, 4.538913, 4.545369, 4.553075, 4.560282, 
    4.566788, 4.573245, 4.57915, 4.584056, 4.588611, 4.592718, 4.594525, 
    4.560082, 4.422101, 4.221626, 3.980902, 3.735022, 3.467789, 3.176365, 
    2.451611, 1.894039, 2.390271, 2.270906, 2.225102, 2.245381, 2.345436, 
    2.559987, 2.842407, 3.107243, 3.352159, 3.589647, 3.801649, 3.96876, 
    4.104378, 4.17923, 4.155177, 4.082828, 4.015016, 3.972608, 3.955926, 
    3.951537, 3.9433, 3.937616, 3.917892, 3.885933, 3.845937, 3.791556, 
    3.73313, 3.677003, 3.621929, 3.565159, 3.515235, 3.4841, 3.475705, 
    3.505704, 3.584576, 3.711017, 3.887476, 4.102951, 4.338278, 4.565447, 
    4.794353, 5.036922, 5.254875, 5.40883, 5.480617, 5.450658, 5.343306, 
    5.20396, 5.050988, 4.885798, 4.731374, 4.587797, 4.444195, 4.316792, 
    4.225381, 4.150133, 4.039521, 3.861655, 3.637695, 3.413896, 3.212156, 
    3.023671, 2.872542, 2.790287, 2.749357, 2.784828, 2.888607, 3.030411, 
    3.178516, 3.345081, 3.520581, 3.668829, 3.786274, 3.901418, 3.994063, 
    4.066041, 4.104032, 4.115451, 4.091216, 4.043009, 3.992388, 3.947569, 
    3.916906, 3.902693, 3.902133, 3.92188, 3.955182,
  3.890699, 3.917302, 3.967112, 4.015671, 4.05898, 4.100189, 4.142204, 
    4.177116, 4.204777, 4.228585, 4.249593, 4.266448, 4.277802, 4.285305, 
    4.289156, 4.290307, 4.290307, 4.290307, 4.290307, 4.290307, 4.290307, 
    4.290307, 4.291357, 4.293409, 4.296561, 4.300764, 4.306417, 4.313621, 
    4.321327, 4.330433, 4.340789, 4.350443, 4.358349, 4.365203, 4.371257, 
    4.37591, 4.378862, 4.379362, 4.378112, 4.373809, 4.369106, 4.363003, 
    4.355247, 4.346091, 4.336837, 4.327231, 4.320361, 4.314787, 4.307518, 
    4.297445, 4.283072, 4.265695, 4.246922, 4.225001, 4.195981, 4.158184, 
    4.121387, 4.08809, 4.056396, 4.029106, 4.008166, 3.990726, 3.976985, 
    3.968943, 3.967191, 3.967191, 3.967191, 3.967191, 3.967191, 3.967891, 
    3.971944, 3.981295, 3.998953, 4.028165, 4.078135, 4.151312, 4.240296, 
    4.345733, 4.473927, 4.607427, 4.711003, 4.774379, 4.832315, 3.412771, 0, 
    0, 0, 0, 0, 0, 1.798179, 2.657324, 4.153585, 4.16023, 4.176117, 4.197214, 
    4.183065, 4.150684, 4.107079, 4.055429, 4.008145, 3.954925, 3.892858, 
    3.824047, 3.76559, 3.716227, 3.6773, 3.670014, 3.689216, 3.733603, 
    3.802382, 3.888566, 3.976963, 4.061167, 4.137035, 4.183632, 4.192143, 
    4.17512, 4.131814, 4.07291, 4.015804, 3.96535, 3.928447, 3.912388, 
    3.917721, 3.933203, 3.960535, 3.99591, 4.032832, 4.068697, 4.10515, 
    4.130695, 4.144331, 4.148165, 4.148192, 4.140768, 4.117749, 4.065337, 
    3.950586, 3.7931, 3.63302, 3.491162, 3.376931, 3.296156, 3.259261, 
    3.271686, 3.366667, 3.553215, 3.768141, 3.970459, 4.094607, 4.080004, 
    3.967289, 3.781468, 3.513839, 3.1912, 2.866194, 2.54226, 2.23944, 
    2.047058, 2.01965, 2.121362, 2.341651, 2.62648, 2.905766, 3.195836, 
    3.500494, 3.793952, 4.031163, 4.211322, 4.329123, 4.385775, 4.407035, 
    4.416797, 4.418594, 4.419193, 4.420993, 4.423144, 4.427247, 4.4321, 
    4.438003, 4.444957, 4.453864, 4.46417, 4.473526, 4.482532, 4.491287, 
    4.499745, 4.507051, 4.513656, 4.520212, 4.524769, 4.501618, 4.398375, 
    4.245243, 4.052864, 3.852326, 3.629737, 3.386508, 2.714984, 2.204128, 
    2.72524, 2.614098, 2.568252, 2.585105, 2.674746, 2.859894, 3.096037, 
    3.317831, 3.53055, 3.74414, 3.937242, 4.086841, 4.206341, 4.272446, 
    4.257647, 4.201781, 4.146959, 4.101703, 4.072621, 4.053233, 4.031049, 
    4.012367, 3.984449, 3.950899, 3.91386, 3.867081, 3.818155, 3.771982, 
    3.726857, 3.681486, 3.641008, 3.615824, 3.609881, 3.638977, 3.706547, 
    3.810492, 3.953261, 4.125011, 4.304397, 4.474335, 4.642517, 4.814486, 
    4.95835, 5.052588, 5.092287, 5.060686, 4.983293, 4.890679, 4.790724, 
    4.686728, 4.596484, 4.516086, 4.430788, 4.342342, 4.25814, 4.164445, 
    4.038578, 3.839685, 3.594235, 3.354302, 3.139927, 2.940305, 2.782499, 
    2.703772, 2.671596, 2.712251, 2.826175, 2.984857, 3.153708, 3.343513, 
    3.528965, 3.676965, 3.792761, 3.903295, 3.991477, 4.058422, 4.080199, 
    4.066802, 4.013538, 3.951272, 3.892853, 3.841337, 3.807484, 3.790231, 
    3.785219, 3.801856, 3.832994,
  3.770207, 3.797858, 3.850162, 3.902069, 3.948977, 3.994138, 4.0416, 
    4.081161, 4.113021, 4.139978, 4.164437, 4.183393, 4.196297, 4.205, 
    4.209601, 4.210801, 4.210801, 4.210801, 4.210801, 4.210801, 4.210801, 
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    3.716639, 3.729343, 3.752452, 3.791312, 3.858931, 3.95561, 4.071291, 
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    3.213055, 3.357465, 3.477406, 3.586948, 3.662333, 3.714114, 3.737895, 
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    3.464228, 3.467675, 3.486274,
  3.444301, 3.466695, 3.515531, 3.569376, 3.620022, 3.670671, 3.726269, 
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    3.482821, 3.49622, 3.52152, 3.566074, 3.64538, 3.760397, 3.898314, 
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    3.877068, 0.7809276, 0, 0, 0, 0, 0.2490087, 2.481425, 3.664074, 4.817568, 
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    3.867223, 3.744649, 3.617526, 3.413561, 3.139614, 2.889629, 2.67079, 
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    3.378066, 3.372765, 3.374913, 3.393815,
  3.358831, 3.378074, 3.42021, 3.469445, 3.518291, 3.567135, 3.620829, 
    3.668822, 3.707268, 3.740466, 3.770364, 3.793911, 3.810509, 3.821506, 
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    3.898272, 3.918177, 3.942083, 3.963789, 3.981294, 3.996696, 4.010149, 
    4.020902, 4.027553, 4.029304, 4.025452, 4.016251, 4.005298, 3.991896, 
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    3.564034, 3.522688, 3.483243, 3.450546, 3.425549, 3.406151, 3.390704, 
    3.381606, 3.378806, 3.378455, 3.378304, 3.378304, 3.378555, 3.379855, 
    3.383854, 3.396602, 3.421551, 3.4668, 3.549156, 3.670417, 3.815329, 
    3.986148, 4.19427, 4.419751, 4.620692, 4.794667, 4.946285, 5.088499, 
    3.902798, 2.676983, 0.2691293, 0, 0, 0, 0, 0, 2.42123, 4.7868, 4.676707, 
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    3.667373, 3.607076, 3.56954, 3.544617, 3.534743, 3.539709, 3.551865, 
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    2.725864, 2.659571, 2.69659, 2.791332, 2.924165, 3.071002, 3.208097, 
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    4.011383, 3.982677, 3.952871, 3.926515, 3.902956, 3.880847, 3.860589, 
    3.842982, 3.827122, 3.811763, 3.797703, 3.786192, 3.776082, 3.766976, 
    3.76267, 3.764416, 3.773853, 3.791477, 3.814903, 3.841583, 3.872814, 
    3.910699, 3.948589, 3.975047, 3.996606, 4.009033, 4.011218, 4.005397, 
    3.993273, 3.971997, 3.945357, 3.916456, 3.884398, 3.832896, 3.721049, 
    3.590941, 3.4605, 3.247978, 2.969757, 2.719391, 1.67105, 2.140553, 
    2.059242, 1.966461, 1.921639, 1.946029, 2.042514, 2.185893, 2.338039, 
    2.511857, 2.697834, 2.867718, 3.023956, 3.171796, 3.278181, 3.359614, 
    3.413048, 3.264069, 1.180955, 0, 1.189517, 1.844674, 3.302366, 3.294576, 
    3.290281, 3.291579, 3.310829,
  3.271307, 3.287401, 3.328109, 3.375867, 3.421558, 3.466548, 3.515887, 
    3.560228, 3.596021, 3.626914, 3.654456, 3.676453, 3.691248, 3.701146, 
    3.706444, 3.707242, 3.707242, 3.707242, 3.707242, 3.707242, 3.707242, 
    3.707242, 3.709392, 3.714544, 3.722495, 3.732897, 3.74745, 3.765404, 
    3.785009, 3.807063, 3.833116, 3.857371, 3.877025, 3.893879, 3.909082, 
    3.921035, 3.928286, 3.930286, 3.925936, 3.915934, 3.903531, 3.888678, 
    3.869124, 3.846569, 3.823015, 3.799461, 3.776407, 3.755303, 3.734503, 
    3.711254, 3.683556, 3.653059, 3.623015, 3.590522, 3.55138, 3.506189, 
    3.463299, 3.424957, 3.388664, 3.358171, 3.335327, 3.31738, 3.303233, 
    3.295135, 3.292335, 3.291987, 3.291837, 3.291837, 3.292086, 3.293035, 
    3.296785, 3.308332, 3.332329, 3.377329, 3.461782, 3.587138, 3.737347, 
    3.915209, 4.132524, 4.372051, 4.591688, 4.77701, 4.935722, 5.084184, 
    5.212494, 3.447716, 0.2669095, 0, 0, 0, 0, 0, 1.203334, 4.038566, 
    4.639638, 4.514964, 4.384623, 4.236796, 4.069024, 3.901258, 3.762548, 
    3.651143, 3.562543, 3.503545, 3.470801, 3.45451, 3.453471, 3.46423, 
    3.480088, 3.495593, 3.507446, 3.513397, 3.515843, 3.516538, 3.517232, 
    3.516828, 3.516574, 3.515972, 3.51577, 3.515319, 3.514819, 3.514319, 
    3.516967, 3.522916, 3.532309, 3.544153, 3.559545, 3.578737, 3.598529, 
    3.617973, 3.636418, 3.649515, 3.656264, 3.657764, 3.653418, 3.642971, 
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    3.56099, 3.640808, 3.731112, 3.8311, 3.93055, 4.014441, 4.078386, 
    4.080249, 3.994838, 3.848347, 3.664765, 3.447397, 3.232587, 3.051229, 
    2.893319, 2.764748, 2.702357, 2.724275, 2.790968, 2.892756, 3.010499, 
    3.12255, 3.233906, 3.348013, 3.453627, 3.523899, 3.565497, 3.60071, 
    3.629176, 3.65194, 3.670852, 3.686511, 3.698769, 3.708725, 3.717979, 
    3.729333, 3.742684, 3.757237, 3.774942, 3.796948, 3.821902, 3.845756, 
    3.868561, 3.892266, 3.915671, 3.936776, 3.95683, 3.978236, 3.998941, 
    4.017795, 4.037, 4.057056, 4.073912, 4.087066, 4.080245, 4.037107, 
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    3.346583, 3.380044, 3.463734, 3.560027, 3.662422, 3.762115, 3.851405, 
    3.938598, 4.01059, 4.046481, 4.044549, 4.020895, 3.991241, 3.960732, 
    3.932025, 3.90297, 3.871162, 3.838255, 3.808999, 3.781843, 3.756288, 
    3.73218, 3.71047, 3.689809, 3.669247, 3.649836, 3.633175, 3.617913, 
    3.604553, 3.597547, 3.597644, 3.603693, 3.616096, 3.635553, 3.65916, 
    3.68837, 3.725732, 3.763793, 3.794452, 3.819859, 3.840667, 3.852272, 
    3.853974, 3.848325, 3.832675, 3.807823, 3.78023, 3.749844, 3.702111, 
    3.593722, 3.462525, 3.333423, 3.116024, 2.831166, 1.967798, 0.3790016, 
    1.041754, 1.82087, 1.712738, 1.658872, 1.681073, 1.769556, 1.900173, 
    2.049014, 2.230277, 2.429303, 2.614232, 2.787967, 2.954052, 3.075781, 
    3.171858, 3.241341, 3.282875, 2.784001, 1.611531, 0.4836098, 0.320327, 
    3.203275, 3.202041, 3.200799, 3.202602, 3.222305,
  3.1728, 3.189959, 3.236123, 3.288885, 3.332586, 3.372776, 3.416515, 
    3.456205, 3.488046, 3.51534, 3.539584, 3.559379, 3.572276, 3.581325, 
    3.585974, 3.586274, 3.586274, 3.586274, 3.586274, 3.586274, 3.586274, 
    3.586274, 3.588474, 3.594074, 3.602274, 3.613274, 3.628474, 3.647223, 
    3.667772, 3.690772, 3.717672, 3.743323, 3.764274, 3.782074, 3.798074, 
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    3.756024, 3.731772, 3.707272, 3.682772, 3.658922, 3.637174, 3.616274, 
    3.593625, 3.56758, 3.539185, 3.512041, 3.483148, 3.448006, 3.407918, 
    3.369576, 3.335435, 3.303143, 3.27595, 3.255855, 3.239608, 3.227162, 
    3.219813, 3.217113, 3.216862, 3.216862, 3.216862, 3.216862, 3.217914, 
    3.221262, 3.23141, 3.253857, 3.298003, 3.382903, 3.510556, 3.664361, 
    3.846868, 4.071632, 4.322551, 4.559935, 4.758465, 4.92373, 5.077389, 
    5.209996, 1.579049, 0, 0, 0, 0, 0, 0, 1.201703, 2.368623, 4.370104, 
    4.469053, 4.317108, 4.156433, 3.978816, 3.80556, 3.663306, 3.551508, 
    3.464515, 3.407169, 3.377576, 3.365483, 3.368941, 3.383648, 3.402853, 
    3.420657, 3.434011, 3.441114, 3.442363, 3.441511, 3.439859, 3.437755, 
    3.435602, 3.433799, 3.432747, 3.431044, 3.429841, 3.429341, 3.431491, 
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    3.531963, 3.543259, 3.549558, 3.55131, 3.547508, 3.53861, 3.525564, 
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    3.634168, 3.721303, 3.810673, 3.889188, 3.948298, 3.986751, 3.970515, 
    3.881561, 3.742984, 3.57292, 3.375066, 3.183568, 3.024164, 2.886807, 
    2.774743, 2.717906, 2.723974, 2.764327, 2.836419, 2.926818, 3.015523, 
    3.105983, 3.200196, 3.288865, 3.349403, 3.393515, 3.43588, 3.47315, 
    3.503215, 3.528729, 3.549993, 3.566853, 3.58026, 3.591916, 3.604869, 
    3.619372, 3.635023, 3.653823, 3.676972, 3.703072, 3.727772, 3.751772, 
    3.777274, 3.802476, 3.825027, 3.846881, 3.870282, 3.893538, 3.914543, 
    3.936248, 3.959052, 3.978356, 3.992556, 3.980505, 3.919522, 3.819681, 
    3.70619, 3.589899, 3.461603, 3.332857, 3.214266, 3.110377, 3.065744, 
    3.110226, 3.213264, 3.330655, 3.45545, 3.577245, 3.686937, 3.794525, 
    3.887166, 3.941097, 3.943547, 3.918344, 3.885788, 3.852485, 3.821282, 
    3.790079, 3.755676, 3.720324, 3.689272, 3.660321, 3.632216, 3.604308, 
    3.578501, 3.553043, 3.526783, 3.50137, 3.478707, 3.457796, 3.439236, 
    3.429129, 3.427927, 3.433376, 3.447128, 3.46883, 3.495686, 3.52849, 
    3.570698, 3.613205, 3.64746, 3.676116, 3.700071, 3.713724, 3.716727, 
    3.711678, 3.696631, 3.671833, 3.64749, 3.624203, 3.583916, 3.480325, 
    3.349774, 3.219923, 3.007241, 2.723804, 1.281402, 0, 0.1626066, 1.59111, 
    1.470542, 1.412642, 1.436899, 1.512917, 1.625979, 1.769518, 1.956678, 
    2.166194, 2.363515, 2.55209, 2.733315, 2.867135, 2.975607, 3.059231, 
    3.115055, 3.132386, 3.136713, 0.9414645, 0.1567318, 2.023448, 3.090011, 
    3.095078, 3.10064, 3.123902,
  3.072312, 3.095074, 3.148589, 3.206949, 3.253107, 3.290154, 3.328494, 
    3.362683, 3.390576, 3.414269, 3.435614, 3.45296, 3.464307, 3.472153, 
    3.476503, 3.476803, 3.476803, 3.476803, 3.476803, 3.476803, 3.476803, 
    3.476803, 3.478953, 3.484101, 3.49205, 3.502448, 3.516945, 3.534441, 
    3.553788, 3.575583, 3.60163, 3.626175, 3.646271, 3.663217, 3.678565, 
    3.690512, 3.697512, 3.699263, 3.695361, 3.685413, 3.673016, 3.657818, 
    3.638472, 3.615077, 3.591531, 3.567984, 3.545439, 3.524992, 3.505297, 
    3.484553, 3.461159, 3.435815, 3.411571, 3.386277, 3.355587, 3.320645, 
    3.286854, 3.256912, 3.228669, 3.205076, 3.187381, 3.173185, 3.162588, 
    3.15599, 3.153641, 3.153392, 3.153392, 3.153392, 3.153392, 3.154441, 
    3.15724, 3.165987, 3.186633, 3.22898, 3.312525, 3.440373, 3.595875, 
    3.781128, 4.011185, 4.270197, 4.521667, 4.734994, 4.912126, 5.070435, 
    5.206993, 1.578599, 0, 0, 0, 0, 0, 0, 1.19246, 0.7154759, 2.271976, 
    4.400635, 4.231061, 4.06115, 3.878597, 3.704902, 3.563308, 3.454618, 
    3.372429, 3.319241, 3.293599, 3.285106, 3.291962, 3.309616, 3.330618, 
    3.35022, 3.365023, 3.372973, 3.374124, 3.372823, 3.370373, 3.367624, 
    3.364624, 3.361973, 3.359821, 3.357422, 3.355622, 3.354871, 3.356469, 
    3.360217, 3.366114, 3.374112, 3.38501, 3.398455, 3.413099, 3.427744, 
    3.442441, 3.451988, 3.457586, 3.459335, 3.455637, 3.448089, 3.436843, 
    3.422447, 3.405304, 3.387764, 3.375122, 3.383129, 3.425173, 3.494356, 
    3.568831, 3.644704, 3.718072, 3.779089, 3.819708, 3.838981, 3.80841, 
    3.719765, 3.594444, 3.44569, 3.273543, 3.108041, 2.971884, 2.854971, 
    2.761155, 2.710818, 2.703447, 2.721609, 2.766009, 2.83026, 2.89727, 
    2.967783, 3.044252, 3.117674, 3.173919, 3.22388, 3.274547, 3.321766, 
    3.359982, 3.392946, 3.421862, 3.444575, 3.462033, 3.476688, 3.491393, 
    3.507044, 3.522793, 3.54064, 3.562486, 3.587431, 3.611278, 3.634425, 
    3.659722, 3.684469, 3.707269, 3.73042, 3.754872, 3.780125, 3.803278, 
    3.827132, 3.852086, 3.87364, 3.888542, 3.876142, 3.799013, 3.678073, 
    3.543934, 3.406644, 3.2551, 3.102956, 2.963266, 2.839678, 2.778648, 
    2.839378, 2.961765, 3.099904, 3.247498, 3.392492, 3.522931, 3.650218, 
    3.763506, 3.832383, 3.835035, 3.808632, 3.774282, 3.739178, 3.707278, 
    3.675378, 3.64068, 3.605483, 3.574786, 3.545486, 3.515684, 3.48493, 
    3.455523, 3.425765, 3.393302, 3.361389, 3.332227, 3.305165, 3.281404, 
    3.268049, 3.264944, 3.269893, 3.284193, 3.307297, 3.336199, 3.371403, 
    3.415755, 3.460657, 3.496959, 3.527661, 3.553564, 3.569168, 3.573721, 
    3.571982, 3.562651, 3.543571, 3.525288, 3.509452, 3.475665, 3.374064, 
    3.240805, 3.112461, 2.906871, 2.625366, 1.764419, 0.9731271, 0.8862259, 
    1.414905, 1.286744, 1.23035, 1.252234, 1.313108, 1.408176, 1.539641, 
    1.71855, 1.923166, 2.123307, 2.322423, 2.51459, 2.660768, 2.77813, 
    2.871695, 2.938765, 2.975508, 2.992982, 1.921786, 1.451284, 1.901004, 
    2.235249, 2.543428, 2.996156, 3.025719,
  2.978337, 3.007399, 3.069014, 3.133025, 3.183383, 3.21903, 3.251569, 
    3.28066, 3.304603, 3.325047, 3.343592, 3.358187, 3.368084, 3.374482, 
    3.37808, 3.37833, 3.37833, 3.37833, 3.37833, 3.37833, 3.37833, 3.378681, 
    3.38048, 3.384979, 3.392328, 3.401777, 3.414523, 3.430521, 3.447817, 
    3.467564, 3.491158, 3.513103, 3.531049, 3.546547, 3.560143, 3.570891, 
    3.57754, 3.57929, 3.575441, 3.566242, 3.555295, 3.541548, 3.524051, 
    3.503205, 3.482061, 3.460564, 3.440419, 3.421973, 3.404326, 3.386331, 
    3.365785, 3.344092, 3.322848, 3.300904, 3.274661, 3.244872, 3.215881, 
    3.190038, 3.165696, 3.145702, 3.130407, 3.118611, 3.109162, 3.103665, 
    3.101916, 3.101564, 3.101414, 3.101414, 3.101665, 3.102265, 3.104714, 
    3.112413, 3.130657, 3.170602, 3.251547, 3.37694, 3.531636, 3.717485, 
    3.949837, 4.213542, 4.472399, 4.698019, 4.890144, 5.053453, 5.194462, 
    3.454444, 0.2684292, 0, 0, 0, 0, 0, 0, 0, 0.436285, 4.316502, 4.143863, 
    3.973673, 3.787562, 3.614109, 3.474108, 3.369464, 3.292923, 3.244831, 
    3.222887, 3.216688, 3.224688, 3.244792, 3.266643, 3.287094, 3.302945, 
    3.311146, 3.312898, 3.311849, 3.309399, 3.306799, 3.30415, 3.301501, 
    3.298901, 3.296451, 3.294399, 3.293048, 3.293998, 3.296947, 3.301645, 
    3.308091, 3.317037, 3.328383, 3.340379, 3.352375, 3.36502, 3.373368, 
    3.378117, 3.379366, 3.376618, 3.369919, 3.360372, 3.348376, 3.334883, 
    3.32169, 3.312394, 3.320588, 3.354966, 3.411887, 3.472059, 3.532228, 
    3.588445, 3.631361, 3.656183, 3.66176, 3.624254, 3.541621, 3.431198, 
    3.305387, 3.160386, 3.021136, 2.910637, 2.815883, 2.736854, 2.687395, 
    2.668925, 2.670049, 2.690007, 2.729665, 2.775275, 2.824031, 2.880789, 
    2.943426, 2.999933, 3.056095, 3.115611, 3.172528, 3.219996, 3.261514, 
    3.29923, 3.328944, 3.351304, 3.369462, 3.386767, 3.403219, 3.418819, 
    3.435467, 3.455515, 3.478361, 3.500057, 3.521052, 3.544297, 3.567696, 
    3.589542, 3.61244, 3.637339, 3.662787, 3.686788, 3.711488, 3.737638, 
    3.760789, 3.775788, 3.762434, 3.67628, 3.535646, 3.38146, 3.223423, 
    3.049132, 2.874242, 2.714055, 2.571371, 2.500113, 2.571071, 2.712555, 
    2.870842, 3.040982, 3.208121, 3.358958, 3.505944, 3.639129, 3.716335, 
    3.720037, 3.693639, 3.659691, 3.624494, 3.593297, 3.562099, 3.528803, 
    3.496109, 3.467062, 3.438013, 3.407161, 3.374056, 3.340799, 3.306139, 
    3.266827, 3.227612, 3.193004, 3.163306, 3.13806, 3.124917, 3.122022, 
    3.126471, 3.141373, 3.166327, 3.197533, 3.232929, 3.274317, 3.315803, 
    3.348738, 3.378884, 3.406136, 3.423489, 3.430996, 3.434304, 3.432914, 
    3.420821, 3.410535, 3.401646, 3.374207, 3.272808, 3.139819, 3.020144, 
    2.823267, 2.541069, 2.228103, 1.893434, 1.568178, 1.310002, 1.188888, 
    1.138454, 1.150784, 1.196354, 1.275326, 1.388241, 1.544448, 1.728957, 
    1.917172, 2.113095, 2.310549, 2.472228, 2.599202, 2.699914, 2.773518, 
    2.823877, 2.849484, 2.846044, 2.824806, 2.403185, 0.7208511, 1.022094, 
    2.744216, 2.925408,
  2.893357, 2.928718, 2.999836, 3.070249, 3.125157, 3.159405, 3.186196, 
    3.210486, 3.230129, 3.247323, 3.262666, 3.274763, 3.283109, 3.288659, 
    3.291659, 3.291859, 3.291859, 3.291859, 3.291859, 3.291859, 3.291859, 
    3.292207, 3.293557, 3.297706, 3.304104, 3.312602, 3.324051, 3.338447, 
    3.353594, 3.371189, 3.392186, 3.411531, 3.427578, 3.441525, 3.453222, 
    3.46277, 3.468818, 3.470318, 3.466968, 3.45857, 3.449072, 3.437126, 
    3.421179, 3.402833, 3.384087, 3.364991, 3.346995, 3.330949, 3.315353, 
    3.299758, 3.281862, 3.263517, 3.245624, 3.22703, 3.205238, 3.180596, 
    3.156405, 3.135013, 3.11467, 3.097976, 3.085431, 3.075684, 3.067638, 
    3.062838, 3.061438, 3.061089, 3.06094, 3.06094, 3.061189, 3.06179, 
    3.063738, 3.070335, 3.085931, 3.122524, 3.199515, 3.320557, 3.471899, 
    3.655793, 3.887841, 4.152137, 4.416399, 4.653722, 4.858342, 5.025497, 
    5.170201, 3.434071, 0.266505, 0, 0, 0, 0, 0, 0, 0, 0.2153364, 2.130496, 
    2.045995, 1.962541, 3.518134, 3.536111, 3.397867, 3.298129, 3.227842, 
    3.184753, 3.165908, 3.161061, 3.169363, 3.190964, 3.213666, 3.234617, 
    3.250917, 3.259468, 3.26217, 3.262072, 3.260374, 3.257824, 3.255424, 
    3.253024, 3.250424, 3.247975, 3.245926, 3.244226, 3.244524, 3.246672, 
    3.25017, 3.255067, 3.261613, 3.270809, 3.280655, 3.290502, 3.300648, 
    3.307745, 3.311643, 3.312392, 3.310594, 3.304746, 3.2969, 3.287303, 
    3.276456, 3.266311, 3.259164, 3.263205, 3.284279, 3.324197, 3.367816, 
    3.411087, 3.449003, 3.474625, 3.485202, 3.479334, 3.440435, 3.367753, 
    3.272732, 3.167215, 3.047608, 2.936259, 2.851149, 2.775823, 2.706136, 
    2.655189, 2.629684, 2.619569, 2.619037, 2.635797, 2.659558, 2.686825, 
    2.726454, 2.78154, 2.837482, 2.895527, 2.959076, 3.025292, 3.082258, 
    3.133275, 3.180192, 3.217956, 3.246067, 3.268927, 3.289232, 3.307236, 
    3.322836, 3.338784, 3.357482, 3.378278, 3.397825, 3.417023, 3.43792, 
    3.459766, 3.480064, 3.50141, 3.524856, 3.549003, 3.571799, 3.595645, 
    3.620692, 3.642987, 3.656785, 3.641882, 3.553981, 3.403127, 3.234761, 
    3.056927, 2.861191, 2.664854, 2.489134, 2.337234, 2.264136, 2.336934, 
    2.487634, 2.661805, 2.853492, 3.04178, 3.213016, 3.374432, 3.517985, 
    3.59814, 3.603544, 3.579199, 3.547254, 3.51461, 3.485816, 3.457022, 
    3.426429, 3.397235, 3.370339, 3.342041, 3.309587, 3.27303, 3.235071, 
    3.19466, 3.148247, 3.10038, 3.060519, 3.031168, 3.007119, 2.996321, 
    2.996276, 3.003587, 3.023, 3.053416, 3.089076, 3.123677, 3.15977, 
    3.194861, 3.221804, 3.248044, 3.272683, 3.288324, 3.29953, 3.308292, 
    3.313254, 3.306667, 3.303078, 3.299837, 3.278297, 3.179655, 3.057132, 
    2.95211, 2.639681, 1.593841, 1.666163, 0.9208847, 1.405693, 1.24712, 
    1.143447, 1.098902, 1.107609, 1.143202, 1.206173, 1.299588, 1.431594, 
    1.592149, 1.760011, 1.940131, 2.131757, 2.301908, 2.437968, 2.544277, 
    2.619678, 2.673783, 2.702739, 2.704396, 2.688805, 2.268517, 0.6550564, 0, 
    1.406192, 2.822723,
  2.816877, 2.85924, 2.940658, 3.018271, 3.078179, 3.111127, 3.132317, 
    3.15196, 3.167403, 3.181097, 3.193293, 3.203188, 3.209635, 3.214333, 
    3.216731, 3.216881, 3.216881, 3.216881, 3.216881, 3.216881, 3.216881, 
    3.216881, 3.218482, 3.222081, 3.22763, 3.234928, 3.245024, 3.257522, 
    3.270869, 3.285964, 3.30466, 3.321606, 3.335854, 3.347649, 3.358198, 
    3.366496, 3.371594, 3.372843, 3.370045, 3.362897, 3.354348, 3.344051, 
    3.330205, 3.313958, 3.297362, 3.280766, 3.26502, 3.251073, 3.237877, 
    3.224681, 3.209436, 3.194292, 3.179898, 3.165155, 3.147712, 3.127469, 
    3.108428, 3.091485, 3.075142, 3.061748, 3.051952, 3.043905, 3.037608, 
    3.033861, 3.032461, 3.032461, 3.032461, 3.03246, 3.032461, 3.032809, 
    3.034209, 3.039407, 3.052703, 3.084895, 3.156034, 3.271222, 3.417411, 
    3.597203, 3.825895, 4.087688, 4.353884, 4.596279, 4.810392, 4.979545, 
    5.126648, 1.55577, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.638346, 
    2.244746, 3.326133, 3.233697, 3.171713, 3.134824, 3.119179, 3.116132, 
    3.125334, 3.147284, 3.170684, 3.191985, 3.208486, 3.217788, 3.221689, 
    3.22244, 3.221842, 3.219844, 3.217444, 3.215395, 3.212945, 3.210645, 
    3.208946, 3.207246, 3.206995, 3.207893, 3.210191, 3.213889, 3.218637, 
    3.225734, 3.23343, 3.241126, 3.249223, 3.254821, 3.257669, 3.25842, 
    3.256769, 3.252572, 3.246174, 3.238727, 3.230032, 3.222286, 3.216688, 
    3.215629, 3.222154, 3.244225, 3.269843, 3.296164, 3.317239, 3.328517, 
    3.3275, 3.312486, 3.27504, 3.214062, 3.135039, 3.047619, 2.949601, 
    2.863137, 2.794154, 2.728312, 2.663316, 2.612564, 2.582152, 2.563638, 
    2.548569, 2.543583, 2.547553, 2.560286, 2.590523, 2.639015, 2.69126, 
    2.747007, 2.809504, 2.880555, 2.94627, 3.006385, 3.062701, 3.109116, 
    3.143577, 3.171736, 3.196145, 3.216399, 3.232601, 3.248101, 3.26585, 
    3.284496, 3.302594, 3.320692, 3.340341, 3.360138, 3.379336, 3.398883, 
    3.420832, 3.443079, 3.464077, 3.485772, 3.508218, 3.528064, 3.540311, 
    3.524209, 3.435006, 3.283006, 3.110055, 2.922053, 2.715852, 2.509604, 
    2.328304, 2.176404, 2.103302, 2.176104, 2.326804, 2.506553, 2.709104, 
    2.908556, 3.090307, 3.25701, 3.402112, 3.484615, 3.492319, 3.470975, 
    3.442331, 3.413388, 3.387843, 3.362298, 3.335405, 3.30936, 3.284613, 
    3.257064, 3.22251, 3.181853, 3.138594, 3.091833, 3.037168, 2.9795, 
    2.933038, 2.901632, 2.876227, 2.865625, 2.867778, 2.879734, 2.906696, 
    2.946864, 2.991585, 3.028593, 3.061238, 3.092634, 3.116079, 3.137773, 
    3.157266, 3.169362, 3.181811, 3.19356, 3.203917, 3.204829, 3.20734, 
    3.209499, 3.194762, 3.109701, 2.263667, 1.458312, 1.24245, 0.3432259, 
    0.5720432, 0, 0.6431998, 0.6102625, 0.8332469, 1.078877, 1.089127, 
    1.122826, 1.173212, 1.248083, 1.356544, 1.492002, 1.638065, 1.800935, 
    1.979112, 2.145949, 2.284499, 2.395055, 2.474066, 2.530569, 2.562022, 
    2.567578, 2.556335, 2.54994, 1.275147, 0.8972985, 1.443567, 2.726844,
  2.754413, 2.803773, 2.895139, 2.980653, 3.043705, 3.074199, 3.089891, 
    3.104581, 3.116175, 3.126369, 3.135814, 3.143261, 3.148159, 3.151657, 
    3.153306, 3.153406, 3.153406, 3.153406, 3.153406, 3.153406, 3.153406, 
    3.153406, 3.154955, 3.157954, 3.162652, 3.16875, 3.1775, 3.188095, 
    3.199642, 3.212589, 3.228685, 3.243181, 3.255377, 3.265124, 3.274672, 
    3.281719, 3.285868, 3.286868, 3.284619, 3.27872, 3.271123, 3.262125, 
    3.250678, 3.236583, 3.222386, 3.20819, 3.194543, 3.182698, 3.171651, 
    3.160604, 3.148459, 3.136564, 3.12567, 3.114776, 3.101333, 3.086343, 
    3.0722, 3.059457, 3.047164, 3.03737, 3.029723, 3.023827, 3.01913, 
    3.016531, 3.015231, 3.01498, 3.01498, 3.01498, 3.01498, 3.015332, 
    3.01618, 3.019978, 3.030472, 3.057764, 3.121952, 3.228786, 3.367672, 
    3.540858, 3.763496, 4.020486, 4.282878, 4.525684, 4.748399, 4.921711, 
    5.069911, 3.370225, 0.2616073, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9910169, 3.260396, 3.177163, 3.124579, 3.094391, 3.082196, 3.0812, 
    3.091302, 3.113152, 3.1362, 3.157851, 3.175052, 3.185605, 3.190706, 
    3.192308, 3.19281, 3.191511, 3.189713, 3.188264, 3.186014, 3.184015, 
    3.182214, 3.180765, 3.180014, 3.180264, 3.181713, 3.184211, 3.187609, 
    3.192805, 3.198452, 3.2041, 3.210296, 3.214544, 3.216693, 3.217442, 
    3.215894, 3.212894, 3.207947, 3.2023, 3.196004, 3.190256, 3.18621, 
    3.183212, 3.18206, 3.188237, 3.197664, 3.209193, 3.216974, 3.21751, 
    3.2086, 3.187092, 3.149036, 3.09589, 3.031863, 2.959785, 2.876905, 
    2.80577, 2.744179, 2.681882, 2.616126, 2.560612, 2.521646, 2.493177, 
    2.466205, 2.445639, 2.437077, 2.440763, 2.464253, 2.508798, 2.558545, 
    2.613194, 2.674945, 2.745341, 2.814037, 2.880293, 2.945657, 3.000421, 
    3.041331, 3.07489, 3.104047, 3.127353, 3.144855, 3.160607, 3.177805, 
    3.195355, 3.213106, 3.230857, 3.249856, 3.269006, 3.287606, 3.306557, 
    3.327755, 3.348303, 3.36785, 3.387398, 3.407244, 3.42479, 3.435337, 
    3.417884, 3.327132, 3.17438, 3.000829, 2.81258, 2.60638, 2.400129, 
    2.218829, 2.066929, 1.993429, 2.066629, 2.217329, 2.39708, 2.600131, 
    2.800381, 2.983083, 3.151085, 3.298089, 3.382241, 3.392596, 3.374251, 
    3.348905, 3.323812, 3.301367, 3.278922, 3.255427, 3.232784, 3.210639, 
    3.183239, 3.146435, 3.101678, 3.053119, 2.999307, 2.935592, 2.867625, 
    2.813311, 2.77685, 2.747342, 2.734335, 2.736532, 2.750985, 2.783492, 
    2.833708, 2.89158, 2.935445, 2.968802, 3.001159, 3.024364, 3.045467, 
    3.064372, 3.076576, 3.089378, 3.101129, 3.11358, 3.118431, 3.124382, 
    3.129282, 3.120087, 3.054564, 1.497715, 0, 0, 0, 0, 0, 0, 0, 0.5397492, 
    1.071798, 1.080745, 1.112589, 1.156733, 1.219421, 1.306989, 1.41835, 
    1.542364, 1.685979, 1.848901, 2.00563, 2.138763, 2.248806, 2.331407, 
    2.390161, 2.423765, 2.433222, 2.427233, 2.068925, 1.226941, 2.120087, 
    2.561713, 2.645332,
  2.709441, 2.765101, 2.866417, 2.957773, 3.020972, 3.047765, 3.058407, 
    3.068201, 3.076446, 3.083291, 3.089837, 3.094832, 3.09818, 3.100477, 
    3.101376, 3.101425, 3.101426, 3.101425, 3.101425, 3.101425, 3.101426, 
    3.101777, 3.102576, 3.105325, 3.109175, 3.114073, 3.121469, 3.130167, 
    3.139915, 3.151062, 3.164257, 3.176102, 3.186149, 3.194448, 3.202294, 
    3.208443, 3.211892, 3.212892, 3.210742, 3.205894, 3.199395, 3.191848, 
    3.18225, 3.170704, 3.159159, 3.147262, 3.135566, 3.125818, 3.117173, 
    3.108528, 3.099432, 3.090487, 3.082941, 3.075396, 3.065953, 3.056059, 
    3.046467, 3.037923, 3.030081, 3.023485, 3.01824, 3.014743, 3.011595, 
    3.009847, 3.009249, 3.009, 3.009, 3.009, 3.009, 3.009349, 3.009648, 
    3.011896, 3.019492, 3.041784, 3.09782, 3.194553, 3.324187, 3.488122, 
    3.702456, 3.951491, 4.20813, 4.453583, 4.684093, 4.860842, 5.009394, 
    5.148145, 2.627254, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1657237, 2.130834, 
    3.1974, 3.125319, 3.083839, 3.061102, 3.05321, 3.054764, 3.066166, 
    3.087365, 3.109715, 3.131715, 3.150067, 3.161919, 3.168472, 3.171875, 
    3.173377, 3.173179, 3.17223, 3.17093, 3.169031, 3.167531, 3.165732, 
    3.164281, 3.163081, 3.16313, 3.16398, 3.165528, 3.167526, 3.170522, 
    3.17447, 3.178417, 3.182865, 3.185913, 3.187462, 3.187962, 3.186912, 
    3.184714, 3.181216, 3.177018, 3.172921, 3.168874, 3.166727, 3.164929, 
    3.16353, 3.162981, 3.163976, 3.165314, 3.163753, 3.158047, 3.144943, 
    3.120641, 3.081193, 3.029443, 2.972443, 2.908447, 2.835711, 2.771067, 
    2.711465, 2.648008, 2.575944, 2.510425, 2.459654, 2.418332, 2.376956, 
    2.34609, 2.331583, 2.328624, 2.34742, 2.389215, 2.437062, 2.490509, 
    2.551407, 2.620255, 2.686551, 2.755654, 2.829066, 2.890926, 2.937835, 
    2.976693, 3.010501, 3.037457, 3.05686, 3.073813, 3.090914, 3.109016, 
    3.127367, 3.146069, 3.165923, 3.186025, 3.204876, 3.224076, 3.244776, 
    3.264526, 3.282624, 3.300371, 3.317817, 3.333364, 3.342111, 3.322858, 
    3.231107, 3.079814, 2.916397, 2.73898, 2.544467, 2.349504, 2.179038, 
    2.032003, 1.958654, 2.031854, 2.17804, 2.346954, 2.538768, 2.727933, 
    2.9009, 3.059168, 3.205562, 3.291866, 3.304619, 3.289023, 3.26698, 
    3.245585, 3.22614, 3.207046, 3.186951, 3.167706, 3.14841, 3.121411, 
    3.082759, 3.033501, 2.979894, 2.919635, 2.847122, 2.769758, 2.707095, 
    2.664386, 2.629377, 2.611468, 2.611313, 2.626211, 2.661815, 2.720075, 
    2.790845, 2.843407, 2.880814, 2.916617, 2.942121, 2.965524, 2.986828, 
    3.00103, 3.015132, 3.027483, 3.040585, 3.046236, 3.052887, 1.996383, 
    1.538009, 1.509499, 0.741143, 0, 0, 0, 0, 0, 0, 0, 0.5417572, 1.075814, 
    1.082711, 1.111507, 1.151751, 1.207039, 1.278769, 1.36914, 1.471908, 
    1.594625, 1.738541, 1.879161, 2.000791, 2.106334, 2.190036, 2.250538, 
    2.283783, 2.296386, 2.186548, 0.8233814, 1.188686, 2.413436, 2.489302, 
    2.583568,
  2.679966, 2.740522, 2.84958, 2.943783, 3.006233, 3.029828, 3.035972, 
    3.041817, 3.046711, 3.050908, 3.054453, 3.057401, 3.059199, 3.060297, 
    3.060898, 3.060948, 3.060948, 3.060948, 3.060948, 3.060948, 3.060948, 
    3.061297, 3.062048, 3.064196, 3.067194, 3.071244, 3.076992, 3.083889, 
    3.091936, 3.100681, 3.111278, 3.120524, 3.128671, 3.135769, 3.141867, 
    3.146815, 3.149664, 3.150413, 3.148764, 3.144715, 3.139668, 3.13357, 
    3.125372, 3.116326, 3.107179, 3.097683, 3.088487, 3.080289, 3.073942, 
    3.067946, 3.0615, 3.055605, 3.050708, 3.046162, 3.036506, 3.025897, 
    3.015939, 3.00668, 3.00098, 2.997184, 2.994437, 2.992388, 2.991343, 
    2.995158, 2.999722, 3.004286, 3.008649, 3.009, 3.009, 3.009, 3.00905, 
    3.009948, 3.015245, 3.032788, 3.080727, 3.167512, 3.286696, 3.440531, 
    3.644513, 3.883898, 4.132635, 4.379286, 4.615745, 4.793698, 4.941645, 
    5.080143, 4.688104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1646953, 1.631699, 
    1.578164, 1.545215, 2.895334, 3.033462, 3.030219, 3.035024, 3.048077, 
    3.069379, 3.091228, 3.112726, 3.132128, 3.145881, 3.154485, 3.159937, 
    3.163342, 3.164493, 3.164495, 3.163446, 3.161997, 3.160697, 3.159248, 
    3.157799, 3.156548, 3.155997, 3.155995, 3.156343, 3.157041, 3.15859, 
    3.160737, 3.162884, 3.16543, 3.167279, 3.168228, 3.168477, 3.167928, 
    3.166529, 3.164482, 3.162085, 3.159938, 3.157691, 3.156742, 3.156143, 
    3.155997, 3.155997, 3.155497, 3.152897, 3.148248, 3.139645, 3.124994, 
    3.100194, 3.060742, 3.008842, 2.951491, 2.88854, 2.82004, 2.75729, 
    2.695735, 2.628581, 2.548369, 2.108597, 1.211039, 1.186913, 2.176728, 
    2.250061, 2.231856, 2.224852, 2.240397, 2.279142, 2.324587, 2.375984, 
    2.434981, 2.502328, 2.566324, 2.63487, 2.713575, 2.781634, 2.833591, 
    2.877849, 2.916456, 2.947363, 2.969618, 2.988371, 3.006925, 3.026327, 
    3.04613, 3.066985, 3.089388, 3.111342, 3.131144, 3.150946, 3.171846, 
    3.191747, 3.208645, 3.224844, 3.23989, 3.253286, 3.260133, 3.239331, 
    3.147933, 3.009115, 2.866698, 2.710631, 2.539517, 2.367953, 2.219085, 
    2.087368, 2.017127, 2.087217, 2.218084, 2.365402, 2.534367, 2.701082, 
    2.8532, 2.99132, 3.125538, 3.212988, 3.228142, 3.215297, 3.196952, 
    3.178857, 3.162662, 3.146817, 3.130422, 3.114478, 3.097682, 3.071433, 
    3.031581, 2.978477, 2.92042, 2.855013, 2.775154, 2.689692, 2.619882, 
    2.571424, 2.530414, 2.506806, 1.887224, 1.279529, 1.297823, 1.328479, 
    2.043121, 2.757826, 2.797728, 2.834928, 2.861879, 2.886379, 2.909281, 
    2.924833, 2.939633, 2.952333, 2.965683, 2.972534, 2.241135, 1.487771, 
    0.2956505, 1.033548, 0, 0, 0, 0, 0, 0, 0, 0, 0.271169, 0.9211653, 
    1.094475, 1.121273, 1.157015, 1.203951, 1.262981, 1.336006, 1.419177, 
    1.521246, 1.643663, 1.764783, 1.872309, 1.970042, 2.051132, 2.110126, 
    2.142277, 2.159037, 2.061649, 1.077733, 1.694352, 2.341741, 2.43222, 
    2.538792,
  2.662982, 2.725984, 2.838938, 2.93479, 2.996739, 3.018086, 3.020983, 
    3.023579, 3.025726, 3.027873, 3.029071, 3.030619, 3.031217, 3.031817, 
    3.032416, 3.032466, 3.032466, 3.032466, 3.032466, 3.032466, 3.032466, 
    3.032466, 3.033015, 3.034565, 3.036714, 3.039912, 3.04446, 3.049458, 
    3.055454, 3.061802, 3.069847, 3.076945, 3.082941, 3.088238, 3.092885, 
    3.096685, 3.098683, 3.098933, 3.098234, 3.095035, 3.091186, 3.086639, 
    3.080442, 3.073796, 3.066699, 3.059602, 3.052956, 3.04676, 3.042212, 
    3.038014, 3.034018, 3.03057, 3.025968, 3.019257, 3.003546, 2.986234, 
    2.969673, 2.953811, 2.944, 2.938591, 2.937393, 2.939002, 2.944216, 
    2.958533, 2.972447, 2.986361, 3.000728, 3.006543, 3.009, 3.009, 3.009, 
    3.00915, 3.012748, 3.026493, 3.067533, 3.144469, 3.253204, 3.396237, 
    3.589071, 3.817853, 4.056888, 4.298723, 4.538575, 4.718426, 4.863872, 
    5.00127, 4.616181, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.71341, 
    3.010469, 3.012227, 3.020282, 3.035034, 3.056884, 3.078484, 3.099735, 
    3.119785, 3.135989, 3.146993, 3.154847, 3.16075, 3.163303, 3.164254, 
    3.164155, 3.163507, 3.162709, 3.161509, 3.160309, 3.159009, 3.157858, 
    3.157258, 3.156658, 3.156106, 3.156503, 3.156751, 3.157349, 3.157997, 
    3.158645, 3.158994, 3.158994, 3.158944, 3.158346, 3.157748, 3.15715, 
    3.156552, 3.156355, 3.156256, 3.156858, 3.157508, 3.158009, 3.157258, 
    3.154408, 3.149155, 3.138852, 3.123, 3.097347, 3.057247, 3.004696, 
    2.946745, 2.883545, 2.815998, 2.753649, 2.691, 2.621347, 2.411728, 
    0.8637005, 0, 0, 1.008324, 1.099056, 1.089285, 1.085097, 2.043268, 
    2.182919, 2.225114, 2.27396, 2.330957, 2.395602, 2.457098, 2.522794, 
    2.600537, 2.673342, 2.729848, 2.779356, 2.822963, 2.85842, 2.884376, 
    2.905782, 2.926885, 2.948289, 2.970643, 2.994749, 3.020354, 3.044808, 
    3.066412, 3.087664, 3.109366, 3.129616, 3.145916, 3.160814, 3.17341, 
    3.184357, 3.189655, 3.168004, 3.084977, 2.968061, 2.846742, 2.711772, 
    2.564056, 2.416041, 2.289124, 2.178655, 2.120482, 2.178355, 2.287624, 
    2.413692, 2.559508, 2.703875, 2.835245, 2.953315, 3.066483, 3.145459, 
    3.162912, 3.153417, 3.138472, 3.123627, 3.110682, 3.098087, 3.084991, 
    3.072897, 3.058701, 3.033303, 2.992552, 2.9374, 2.876196, 2.80624, 
    2.720682, 2.629678, 2.555423, 2.501466, 2.454006, 2.424196, 1.207195, 0, 
    0, 0, 0.6722656, 1.354651, 1.374842, 1.805847, 2.786896, 2.811396, 
    2.834394, 2.850996, 2.865896, 2.878345, 2.891344, 2.46773, 0.7325875, 
    1.02981, 0.2938825, 1.027367, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7700206, 
    1.115387, 1.140735, 1.170776, 1.208161, 1.253841, 1.310517, 1.37519, 
    1.457362, 1.558331, 1.659953, 1.751829, 1.838112, 1.913355, 1.971107, 
    2.008571, 2.035893, 2.063613, 2.109885, 2.18641, 2.283935, 2.391808, 
    2.510372,
  2.65349, 2.717541, 2.832393, 2.929294, 2.990994, 3.011043, 3.011992, 
    3.01264, 3.013238, 3.013836, 3.014036, 3.014484, 3.014484, 3.014833, 
    3.014983, 3.014983, 3.014983, 3.014983, 3.014983, 3.014983, 3.014983, 
    3.014983, 3.015484, 3.016433, 3.017982, 3.01988, 3.022978, 3.026375, 
    3.030222, 3.03477, 3.039966, 3.044862, 3.04871, 3.052208, 3.055005, 
    3.057903, 3.059202, 3.059453, 3.058852, 3.056704, 3.053956, 3.051208, 
    3.047011, 3.042764, 3.037967, 3.033171, 3.028523, 3.024726, 3.021728, 
    3.019081, 3.016983, 3.015185, 3.008482, 2.993719, 2.969506, 2.943292, 
    2.91868, 2.894417, 2.875953, 2.862539, 2.859382, 2.867441, 2.882807, 
    2.907921, 2.931685, 2.95545, 2.980665, 2.99693, 3.006994, 3.009, 3.009, 
    3.009, 3.011499, 3.022044, 3.056735, 3.123421, 3.221706, 3.35359, 
    3.534522, 3.751004, 3.978887, 4.214483, 4.456839, 4.636888, 4.778883, 
    4.914579, 4.536689, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.495397, 2.989771, 2.997229, 3.007482, 3.023884, 3.045734, 3.066983, 
    3.088232, 3.108031, 3.126734, 3.140489, 3.151092, 3.159697, 3.16425, 
    3.166754, 3.167855, 3.168006, 3.167856, 3.167258, 3.166308, 3.165009, 
    3.163709, 3.163008, 3.162308, 3.154038, 3.144062, 3.134687, 3.125661, 
    3.117087, 3.116235, 3.115884, 3.115884, 3.116636, 3.125511, 3.134186, 
    3.14286, 3.152537, 3.160658, 3.161508, 3.162709, 3.163109, 3.164009, 
    3.163008, 3.159206, 3.152154, 3.1399, 3.122499, 3.095648, 3.054245, 
    3.000542, 2.942493, 2.880245, 2.814397, 2.753099, 2.692003, 2.621804, 
    2.28595, 0, 0, 0, 0, 0, 0, 0, 1.048653, 2.099239, 2.137132, 2.182376, 
    2.23637, 2.297214, 2.355609, 2.417853, 2.491198, 2.566751, 2.627356, 
    2.681311, 2.730419, 2.770977, 2.801133, 2.826389, 2.850845, 2.875049, 
    2.900905, 2.929212, 2.959269, 2.986924, 3.010928, 3.034231, 3.057333, 
    3.078285, 3.094686, 3.108284, 3.118431, 3.127078, 3.131176, 3.11429, 
    3.04962, 2.95485, 2.85478, 2.741062, 2.616595, 2.491978, 2.386657, 
    2.297437, 2.251696, 2.297287, 2.385659, 2.490128, 2.612595, 2.734462, 
    2.845534, 2.942954, 3.034624, 3.096047, 3.109684, 3.103037, 3.091492, 
    3.079896, 3.070201, 3.060855, 3.05106, 3.042665, 3.031219, 3.007523, 
    2.966523, 2.909971, 2.846467, 2.773164, 2.68371, 2.589406, 2.512702, 
    2.454197, 2.400439, 2.362927, 1.17446, 0, 0, 0, 0, 0, 0, 0.4099849, 
    1.371852, 2.337361, 2.765005, 2.781504, 2.796153, 2.808002, 2.820902, 
    1.979182, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3873992, 1.091196, 
    1.171604, 1.194041, 1.221025, 1.252705, 1.292531, 1.338955, 1.402178, 
    1.481998, 1.564571, 1.641602, 1.716185, 1.786178, 1.845129, 1.891591, 
    1.934564, 1.979493, 2.041165, 2.132935, 2.245704, 2.368374, 2.495736,
  2.65351, 2.718611, 2.831906, 2.926949, 2.989, 3.0087, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009449, 3.009648, 3.010497, 3.011346, 3.012944, 
    3.014441, 3.016489, 3.018886, 3.021482, 3.023929, 3.025977, 3.028025, 
    3.029073, 3.030621, 3.031219, 3.031469, 3.03097, 3.030022, 3.028723, 
    3.027425, 3.025028, 3.022881, 3.020484, 3.018087, 3.015541, 3.013692, 
    3.012245, 3.011147, 3.010048, 3.008446, 2.995984, 2.97162, 2.937455, 
    2.90089, 2.866926, 2.832962, 2.804398, 2.780633, 2.77388, 2.789893, 
    2.816259, 2.851973, 2.885937, 2.919901, 2.955716, 2.982981, 3.002995, 
    3.009, 3.009, 3.009, 3.010749, 3.018446, 3.046587, 3.103724, 3.190959, 
    3.311092, 3.479024, 3.682356, 3.897638, 4.130433, 4.376087, 4.555035, 
    4.692879, 4.826176, 4.706919, 1.75793, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.1484442, 1.932803, 2.982981, 2.994683, 3.011782, 3.033081, 
    3.05373, 3.074028, 3.09368, 3.114482, 3.131236, 3.14484, 3.156193, 
    3.163498, 3.168251, 3.170552, 3.171955, 3.172507, 3.172507, 3.172158, 
    3.171008, 3.169708, 3.165499, 3.156376, 3.1315, 3.102825, 3.076402, 
    3.05033, 3.023804, 3.01308, 3.007567, 3.012229, 3.023255, 3.049829, 
    3.075652, 3.101476, 3.129951, 3.154376, 3.163999, 3.168708, 3.169108, 
    3.169858, 3.168256, 3.163505, 3.154603, 3.139799, 3.120245, 3.091591, 
    3.048239, 2.992736, 2.934736, 2.874288, 2.810442, 2.751847, 2.694003, 
    2.626709, 2.290512, 0, 0, 0, 0, 0, 0, 0, 0.1023203, 1.027242, 1.556284, 
    2.100396, 2.149388, 2.205681, 2.260376, 2.318922, 2.387915, 2.462359, 
    2.526113, 2.584269, 2.638876, 2.684833, 2.719891, 2.749697, 2.778353, 
    2.80661, 2.836917, 2.870374, 2.905281, 2.937338, 2.964442, 2.990146, 
    3.015299, 3.037601, 3.054452, 3.067101, 3.0754, 3.081646, 3.084444, 
    3.077808, 3.033736, 2.961117, 2.882296, 2.789824, 2.689056, 2.587738, 
    2.503668, 2.435346, 2.395904, 2.435346, 2.503168, 2.586038, 2.685608, 
    2.784877, 2.875299, 2.952071, 3.022292, 3.064364, 3.068702, 3.063954, 
    3.055959, 3.047815, 3.041469, 3.035123, 3.029028, 3.023932, 3.015236, 
    2.993237, 2.952488, 2.895037, 2.829736, 2.754634, 2.663232, 2.567433, 
    2.489482, 2.427979, 2.368823, 2.323814, 1.152979, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9480082, 1.362076, 1.370054, 1.377235, 1.383019, 1.389451, 0.9748847, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5876803, 1.212861, 1.225797, 
    1.241531, 1.259062, 1.28219, 1.310717, 1.355692, 1.415617, 1.479993, 
    1.543625, 1.607612, 1.672506, 1.732207, 1.787118, 1.846591, 1.911116, 
    1.987986, 2.093204, 2.219773, 2.35564, 2.491803,
  2.668029, 2.732074, 2.840317, 2.929207, 2.989501, 3.00885, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009249, 3.009499, 3.009947, 
    3.010147, 3.010745, 3.011344, 3.011992, 3.01264, 3.013239, 3.013837, 
    3.014037, 3.014485, 3.014486, 3.014486, 3.014485, 3.014336, 3.013987, 
    3.013638, 3.01299, 3.012341, 3.011743, 3.011144, 3.010496, 3.009997, 
    3.009748, 3.009499, 3.00905, 3.005547, 2.983483, 2.94917, 2.903955, 
    2.856491, 2.812679, 2.768515, 2.7289, 2.694236, 2.683879, 2.707487, 
    2.745202, 2.792017, 2.83618, 2.880343, 2.926757, 2.965021, 2.994984, 
    3.007797, 3.009, 3.009, 3.010249, 3.015697, 3.037489, 3.085677, 3.161713, 
    3.268895, 3.423027, 3.612407, 3.813889, 4.038121, 4.28482, 4.462668, 
    4.595862, 4.726609, 4.614765, 1.748554, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4446312, 2.227292, 2.98053, 2.997229, 3.017427, 3.037476, 
    3.056826, 3.076374, 3.099578, 3.118982, 3.135585, 3.149789, 3.160444, 
    3.166996, 3.171099, 3.174401, 3.176153, 3.176754, 3.177005, 3.176456, 
    3.173101, 3.156728, 3.130556, 3.087483, 3.040609, 2.997387, 2.954514, 
    2.909741, 2.880516, 2.869063, 2.887036, 2.91666, 2.961184, 3.004156, 
    3.047129, 3.093502, 3.136075, 3.162498, 3.174206, 3.175008, 3.175207, 
    3.172756, 3.166803, 3.155149, 3.137545, 3.114991, 3.083688, 3.037783, 
    2.980432, 2.922482, 2.864536, 2.80359, 2.749547, 2.697005, 2.636416, 
    1.276186, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.002705, 2.026055, 2.068445, 
    2.118987, 2.16913, 2.223122, 2.286765, 2.356458, 2.423362, 2.485718, 
    2.545876, 2.597834, 2.638892, 2.674351, 2.708409, 2.742619, 2.778677, 
    2.816481, 2.85679, 2.894548, 2.925954, 2.95491, 2.983215, 3.007418, 
    3.024969, 3.036918, 3.043816, 3.047863, 3.049963, 3.048563, 3.022835, 
    2.972363, 2.914541, 2.843069, 2.765548, 2.687629, 2.624907, 2.577233, 
    2.548905, 2.577233, 2.624657, 2.68643, 2.763551, 2.840121, 2.909794, 
    2.966167, 3.01534, 3.03962, 3.039219, 3.036372, 3.031475, 3.026578, 
    3.022982, 3.019385, 3.016488, 3.014041, 3.007243, 2.986795, 2.946446, 
    2.888395, 2.822495, 2.746795, 2.654344, 2.558594, 2.480494, 2.417092, 
    2.353787, 2.30288, 1.140236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1255559, 1.256456, 1.259543, 
    1.26438, 1.268463, 1.276294, 1.288724, 1.316904, 1.359683, 1.408365, 
    1.460402, 1.516293, 1.57784, 1.640347, 1.706415, 1.780883, 1.863907, 
    1.956679, 2.074495, 2.213309, 2.359921, 2.502575,
  2.694539, 2.755435, 2.856775, 2.937765, 2.991755, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.002997, 2.970734, 2.926572, 2.870007, 2.811594, 
    2.75768, 2.703417, 2.652904, 2.607341, 2.591634, 2.621442, 2.670206, 
    2.728069, 2.782432, 2.836444, 2.894159, 2.943073, 2.983235, 3.005548, 
    3.009, 3.009, 3.009749, 3.013297, 3.029791, 3.06913, 3.133966, 3.228551, 
    3.368483, 3.542964, 3.730397, 3.940578, 4.179761, 4.355807, 4.48385, 
    4.611195, 4.498508, 1.674057, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.7393826, 2.521566, 2.980729, 2.999627, 3.018725, 3.037475, 
    3.056074, 3.080673, 3.102476, 3.12183, 3.139284, 3.153037, 3.161991, 
    3.168494, 3.173446, 3.176949, 3.178751, 3.179852, 3.179652, 3.166031, 
    3.132961, 3.08974, 3.028466, 2.963393, 2.903372, 2.843701, 2.780728, 
    2.735411, 2.722811, 2.754323, 2.802197, 2.865371, 2.925141, 2.984911, 
    3.049486, 3.110259, 3.153229, 3.1766, 3.179454, 3.179053, 3.175752, 
    3.16825, 3.153697, 3.133144, 3.107239, 3.073286, 3.024884, 2.966132, 
    2.908482, 2.853636, 2.796292, 2.74835, 2.703762, 2.654279, 0.2641534, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.4915087, 1.671049, 1.993512, 2.037002, 
    2.081394, 2.129637, 2.187179, 2.251171, 2.317365, 2.382868, 2.449026, 
    2.508487, 2.556646, 2.599556, 2.641919, 2.684582, 2.72719, 2.767693, 
    2.812446, 2.857056, 2.894214, 2.927871, 2.960577, 2.987381, 3.006233, 
    3.018084, 3.023331, 3.025579, 3.026977, 3.025928, 3.016348, 2.986824, 
    2.949549, 2.899676, 2.845106, 2.790535, 2.748912, 2.720936, 2.708606, 
    2.720936, 2.748912, 2.790186, 2.844507, 2.898028, 2.947302, 2.983628, 
    3.012403, 3.021484, 3.021235, 3.019936, 3.017488, 3.015042, 3.013494, 
    3.011946, 3.010947, 3.009848, 3.00425, 2.985351, 2.945451, 2.887553, 
    2.821753, 2.745802, 2.653454, 2.558907, 2.48176, 2.41791, 2.351206, 
    2.294147, 1.133246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1294542, 1.293189, 1.287529, 1.282567, 
    1.275806, 1.270992, 1.269727, 1.28351, 1.312796, 1.349984, 1.393426, 
    1.444221, 1.506325, 1.57719, 1.656205, 1.743972, 1.843941, 1.953663, 
    2.083026, 2.229532, 2.382136, 2.527037,
  2.728044, 2.784737, 2.877727, 2.949664, 2.995254, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.001199, 2.96049, 2.906128, 2.838565, 2.769402, 
    2.70519, 2.641329, 2.580416, 2.524454, 2.502897, 2.538403, 2.598217, 
    2.66713, 2.731442, 2.795053, 2.863665, 2.923328, 2.972989, 3.003748, 
    3.009, 3.009, 3.009249, 3.011248, 3.023544, 3.054734, 3.109223, 3.191708, 
    3.31699, 3.476522, 3.649654, 3.844835, 4.069468, 4.242664, 4.364355, 
    4.486748, 4.614392, 3.292686, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1.033843, 2.817075, 2.98218, 2.999477, 3.013617, 3.025, 
    3.042283, 3.058416, 3.073152, 3.085686, 3.09437, 3.098605, 3.098988, 
    3.100728, 3.10182, 3.101563, 3.100607, 3.097801, 3.074447, 3.032044, 
    2.980193, 2.910396, 2.837499, 2.770552, 2.704306, 2.63376, 2.583063, 
    2.571315, 2.613479, 2.679701, 2.761072, 2.837643, 2.914214, 2.997436, 
    3.076458, 3.135978, 3.175548, 3.182404, 3.181402, 3.177001, 3.167698, 
    3.151096, 3.127392, 3.098489, 3.061886, 3.011433, 2.951782, 2.895736, 
    2.84424, 2.791447, 2.749703, 2.711006, 1.735205, 0.1324289, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.6752628, 1.827985, 1.957201, 1.995143, 2.037285, 
    2.087625, 2.144315, 2.205359, 2.27236, 2.345168, 2.412928, 2.469388, 
    2.521651, 2.574915, 2.62878, 2.678941, 2.722445, 2.7706, 2.821005, 
    2.865214, 2.904872, 2.94298, 2.973635, 2.99524, 3.008091, 3.012341, 
    3.01314, 3.013489, 3.01314, 3.012192, 3.002615, 2.985039, 2.955913, 
    2.92409, 2.892416, 2.871642, 2.862414, 2.860169, 2.862414, 2.871642, 
    2.892417, 2.92404, 2.955414, 2.98454, 3.001768, 3.011195, 3.011993, 
    3.011993, 3.011644, 3.010995, 3.010347, 3.009997, 3.009649, 3.009449, 
    3.009, 3.004251, 2.986201, 2.947453, 2.890855, 2.826007, 2.75101, 
    2.660513, 2.568667, 2.49377, 2.430771, 2.362672, 1.959495, 0.5643817, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.260382, 1.249975, 1.253215, 1.272905, 1.302498, 1.341195, 1.391097, 
    1.457855, 1.540369, 1.631734, 1.73255, 1.848519, 1.974939, 2.115303, 
    2.266508, 2.42136, 2.564455,
  2.765545, 2.816989, 2.900628, 2.962416, 2.999005, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.0006, 2.955498, 2.89289, 2.81558, 2.73667, 
    2.663962, 2.591953, 2.521944, 2.457186, 2.430681, 2.469634, 2.538792, 
    2.617752, 2.690461, 2.76282, 2.840229, 2.908787, 2.966245, 3.002699, 
    3.009, 3.009, 3.009, 3.010049, 3.018845, 3.043138, 3.088228, 3.158513, 
    3.269047, 3.414231, 3.572914, 3.752596, 3.96273, 4.133678, 4.248871, 
    4.365114, 4.487958, 3.202049, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.949821, 2.943813, 2.937457, 2.929451, 2.902696, 2.857794, 2.805543, 
    2.737495, 2.667749, 2.604304, 2.541208, 2.474112, 2.425664, 2.416067, 
    2.46948, 2.554653, 2.654275, 2.747895, 2.841514, 2.942935, 3.040307, 
    3.116977, 3.172997, 3.184251, 3.18225, 3.176999, 3.165797, 3.147044, 
    3.120642, 3.088989, 3.049986, 2.997534, 2.938035, 2.885239, 2.836993, 
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    2.629442, 2.676746, 2.729001, 2.783606, 2.835716, 2.882224, 2.926481, 
    2.962688, 2.988244, 3.003648, 3.008349, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.005009, 2.995431, 2.985056, 2.974829, 2.969592, 2.969592, 
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    3.009, 3.00475, 2.987903, 2.951005, 2.896809, 2.834513, 2.762417, 
    2.675021, 2.587026, 2.516283, 2.454986, 2.388188, 1.639428, 0, 0, 0, 0, 
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    1.227973, 1.224868, 1.237611, 1.262908, 1.299957, 1.352411, 1.427172, 
    1.522038, 1.626253, 1.74097, 1.873539, 2.016408, 2.166819, 2.321422, 
    2.475618, 2.613511,
  2.806047, 2.85189, 2.924226, 2.975364, 3.002503, 3.009, 3.009, 3.009, 
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    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
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    3.009, 3.009, 3.009, 3.0006, 2.9545, 2.887748, 2.804143, 2.71934, 
    2.641486, 2.564684, 2.48908, 2.419528, 2.389976, 2.430076, 2.504379, 
    2.589483, 2.667487, 2.74514, 2.827742, 2.901647, 2.963749, 3.0024, 3.009, 
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    3.357441, 3.502175, 3.666859, 3.862593, 4.032492, 4.142136, 4.25213, 
    4.370625, 3.118762, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    2.645885, 2.948129, 2.938958, 2.927341, 2.912276, 2.90151, 2.891897, 
    2.881583, 2.867118, 2.847803, 2.830093, 2.815887, 2.80418, 2.792322, 
    2.780315, 2.768309, 2.755003, 2.724098, 2.677297, 2.624897, 2.55905, 
    2.492653, 2.432806, 2.373311, 2.309514, 2.263267, 2.255819, 2.320832, 
    2.425654, 2.544626, 2.655396, 2.766165, 2.885986, 3.002157, 3.096226, 
    3.169646, 3.18475, 3.1821, 3.175999, 3.163247, 3.142045, 3.113041, 
    3.078989, 3.037586, 2.984035, 2.924936, 2.875489, 2.830593, 2.787949, 
    2.751601, 1.366001, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9006824, 
    1.793059, 1.818403, 1.847596, 1.882387, 1.925977, 1.975369, 2.038764, 
    2.121967, 2.206575, 2.282636, 2.356948, 2.436614, 2.516982, 2.579444, 
    2.630699, 2.686953, 2.746059, 2.805967, 2.859575, 2.910482, 2.952889, 
    2.982744, 3.001397, 3.0078, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
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    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.005251, 2.990303, 2.956107, 2.905561, 2.846765, 
    2.77887, 2.696077, 2.613985, 2.549292, 2.491246, 2.306983, 0.8238144, 0, 
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    1.22403, 1.206728, 1.199925, 1.208272, 1.23142, 1.269473, 1.327131, 
    1.411943, 1.520358, 1.638023, 1.766889, 1.915556, 2.073922, 2.232329, 
    2.387578, 2.537472, 2.667912,
  2.845038, 2.884231, 2.944318, 2.984456, 3.004, 3.00885, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.0006, 2.9545, 2.8867, 2.803154, 2.719159, 
    2.642515, 2.56692, 2.492626, 2.42378, 2.393531, 2.433631, 2.50923, 
    2.593876, 2.671271, 2.747615, 2.828759, 2.901503, 2.9635, 3.0024, 3.009, 
    3.009, 3.009, 3.009349, 3.013548, 3.027694, 3.057238, 3.106729, 3.190166, 
    3.308152, 3.439939, 3.590625, 3.771759, 3.935096, 4.039641, 4.142783, 
    4.256327, 3.037562, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    2.631985, 2.929982, 2.905469, 2.876749, 2.847182, 2.822017, 2.800404, 
    2.778091, 2.75108, 2.718966, 2.690604, 2.669244, 2.650736, 2.63233, 
    2.614073, 2.596517, 2.578062, 2.542858, 2.494305, 2.441905, 2.378057, 
    2.314559, 2.258063, 2.201916, 2.140568, 2.09657, 2.090321, 2.161772, 
    2.284589, 2.42311, 2.55188, 2.680299, 2.819019, 2.95449, 3.06646, 
    3.158129, 3.184048, 3.181799, 3.174498, 3.160196, 3.136544, 3.104942, 
    3.068488, 3.025387, 2.971137, 2.913038, 2.866241, 2.825045, 2.78715, 
    2.752702, 1.367252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1708418, 
    1.713217, 1.733662, 1.757257, 1.784801, 1.820042, 1.861884, 1.920529, 
    2.004427, 2.096636, 1.638741, 1.942317, 2.363677, 2.460545, 2.533956, 
    2.58916, 2.649014, 2.712117, 2.777221, 2.837427, 2.894934, 2.942939, 
    2.976743, 2.998647, 3.007199, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
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    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.005751, 2.992702, 2.962106, 2.915761, 2.861517, 
    2.798522, 2.72208, 2.647087, 2.589295, 2.536051, 2.357013, 0.8645861, 0, 
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    1.207885, 1.190236, 1.182737, 1.190338, 1.214041, 1.256247, 1.321556, 
    1.417569, 1.539182, 1.670046, 1.811408, 1.97352, 2.143429, 2.304828, 
    2.457123, 2.600265, 2.721004,
  2.875024, 2.907568, 2.956407, 2.98745, 3.002998, 3.007698, 3.008449, 
    3.008499, 3.008749, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.0006, 2.9545, 2.888103, 2.813617, 
    2.740385, 2.6743, 2.608916, 2.546134, 2.486599, 2.458102, 2.498202, 
    2.571147, 2.64553, 2.712564, 2.778548, 2.848281, 2.909463, 2.964502, 
    3.0024, 3.009, 3.009, 3.009251, 3.009501, 3.01245, 3.023497, 3.047492, 
    3.089335, 3.161173, 3.266962, 3.387451, 3.525789, 3.693427, 3.851178, 
    3.951675, 4.04832, 4.157016, 2.96654, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.455576, 2.911981, 2.873966, 2.824743, 2.779227, 
    2.739862, 2.70615, 2.67279, 2.635029, 2.591919, 2.552359, 2.52225, 
    2.497244, 2.472187, 2.447831, 2.424875, 2.40112, 2.361615, 2.311064, 
    2.258764, 2.196165, 2.135318, 2.081569, 2.028172, 1.969075, 1.926726, 
    1.921077, 1.993478, 2.132093, 2.290614, 2.437633, 2.583951, 2.742471, 
    2.897642, 3.028211, 3.13848, 3.182549, 3.18135, 3.172498, 3.156646, 
    3.130995, 3.096842, 3.05799, 3.013187, 2.957936, 2.901989, 2.857741, 
    2.819794, 2.784545, 2.751646, 1.367249, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.0833301, 0.8353968, 1.250853, 1.673318, 1.696064, 1.723907, 
    1.758901, 1.811394, 1.893041, 1.691085, 0.5231833, 0.7858977, 2.187913, 
    2.410751, 2.494962, 2.553265, 2.616518, 2.682271, 2.750223, 2.816078, 
    2.879384, 2.932489, 2.970494, 2.995547, 3.006149, 3.009, 3.009, 3.009, 
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    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.00625, 2.995453, 2.968206, 
    2.926612, 2.877767, 2.820173, 2.75063, 2.683839, 2.633046, 2.58435, 
    2.403447, 0.8609946, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6490057, 1.282993, 1.262992, 
    1.240889, 1.216689, 1.194537, 1.178239, 1.173494, 1.184549, 1.213908, 
    1.262766, 1.336825, 1.445038, 1.579351, 1.722313, 1.873671, 2.043776, 
    2.216974, 2.375068, 2.521261, 2.656102, 2.766291,
  2.893513, 2.920107, 2.9601, 2.985697, 2.999495, 3.004546, 3.006397, 
    3.007148, 3.007999, 3.008499, 3.00895, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.0006, 2.955502, 2.897465, 2.846648, 
    2.800083, 2.758616, 2.717848, 2.677776, 2.638501, 2.618715, 2.658414, 
    2.719245, 2.767961, 2.810379, 2.851746, 2.895212, 2.934386, 2.972263, 
    3.003502, 3.009501, 3.009501, 3.00975, 3.010351, 3.01245, 3.021599, 
    3.041496, 3.077141, 3.140034, 3.235224, 3.345966, 3.473155, 3.629045, 
    3.782685, 3.880684, 3.971678, 4.075673, 3.536011, 1.046529, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1452672, 1.448481, 2.126333, 
    2.771251, 2.707731, 2.653065, 2.607404, 2.564194, 2.516585, 2.464177, 
    2.415369, 2.375658, 2.3436, 2.311343, 2.281338, 2.252732, 2.223727, 
    2.180525, 2.128073, 2.075622, 2.014223, 1.955425, 1.903827, 1.852579, 
    1.795981, 1.754732, 1.749332, 1.822332, 1.976647, 2.155768, 2.321136, 
    2.485804, 2.664473, 2.839793, 2.989212, 3.118681, 3.180948, 3.180198, 
    3.170248, 3.152596, 3.124893, 3.087891, 3.047239, 3.000287, 2.945038, 
    2.89109, 2.849242, 2.813694, 2.779595, 2.337651, 0.6819227, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7939669, 1.598082, 1.617379, 1.639424, 
    1.667917, 1.711808, 1.78765, 1.30438, 0, 0, 1.137386, 2.365308, 2.459968, 
    2.52067, 2.586472, 2.653923, 2.724476, 2.795731, 2.863885, 2.92169, 
    2.963993, 2.992297, 3.005099, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.00675, 2.998202, 2.974306, 2.93746, 2.894016, 
    2.842171, 2.779728, 2.721736, 2.677793, 2.632095, 2.454342, 0.9005461, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4576373, 1.229021, 1.275843, 1.254742, 1.230841, 1.205639, 
    1.18299, 1.168992, 1.168296, 1.185703, 1.223511, 1.28077, 1.36428, 
    1.48409, 1.630701, 1.78406, 1.942666, 2.115868, 2.285963, 2.437306, 
    2.575698, 2.700988, 2.800076,
  2.902004, 2.924051, 2.957796, 2.980393, 2.993494, 2.999244, 3.002395, 
    3.004447, 3.006248, 3.007349, 3.008449, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.0006, 2.962762, 2.929495, 
    2.917135, 2.910275, 2.905412, 2.901599, 2.897339, 2.891026, 2.891801, 
    2.926843, 2.957705, 2.966865, 2.972928, 2.977592, 2.981651, 2.985811, 
    2.994278, 3.007305, 3.010451, 3.010501, 3.010751, 3.011702, 3.013903, 
    3.022302, 3.040001, 3.071348, 3.127893, 3.214786, 3.317229, 3.435072, 
    3.580313, 3.723552, 3.818699, 3.904044, 4.00334, 4.099439, 2.072469, 0, 
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    1.370407, 1.333675, 1.67382, 2.503149, 2.450941, 2.394684, 2.335179, 
    2.279123, 2.229715, 2.189207, 2.150351, 2.114345, 2.08009, 2.045885, 
    1.999432, 1.94508, 1.89248, 1.832282, 1.775384, 1.725835, 1.676287, 
    1.621388, 1.580888, 1.575839, 1.654449, 1.827118, 2.026587, 2.210905, 
    2.394172, 2.593041, 2.78896, 2.957478, 3.106045, 3.179599, 3.178399, 
    3.166996, 3.147194, 3.116491, 3.077289, 3.034487, 2.985735, 2.931536, 
    2.879538, 2.839239, 2.80524, 2.772091, 1.923594, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.7624732, 1.532994, 1.548891, 1.566637, 
    1.587931, 1.622172, 1.602102, 0.6330254, 0, 0, 0.2289458, 2.323513, 
    2.428472, 2.490723, 2.558375, 2.626575, 2.699727, 2.776031, 2.848836, 
    2.91074, 2.956743, 2.988396, 3.003999, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.00725, 3.000252, 2.980306, 2.94816, 
    2.909764, 2.86367, 2.808226, 2.757231, 2.717783, 2.674135, 2.622934, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0.9106948, 1.287443, 1.268543, 1.246493, 
    1.222343, 1.196243, 1.173793, 1.161994, 1.165599, 1.189805, 1.236413, 
    1.303022, 1.39588, 1.52609, 1.682798, 1.843302, 2.006255, 2.179554, 
    2.344799, 2.488542, 2.617582, 2.732873, 2.821164,
  2.902497, 2.921746, 2.950992, 2.971741, 2.984741, 2.991792, 2.996845, 
    3.000396, 3.003497, 3.005548, 3.007449, 3.00865, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.0006, 2.977264, 2.982301, 
    3.015091, 3.053283, 3.090172, 3.127759, 3.168801, 3.205892, 3.238074, 
    3.263565, 3.251675, 3.215884, 3.180196, 3.143458, 3.102216, 3.061625, 
    3.031288, 3.014257, 3.011401, 3.011651, 3.012502, 3.014052, 3.017754, 
    3.026455, 3.043756, 3.072955, 3.124852, 3.205797, 3.301993, 3.412888, 
    3.546626, 3.677965, 3.769462, 3.850459, 3.946056, 4.040805, 2.042977, 0, 
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    2.386641, 2.327586, 2.265283, 2.20128, 2.140377, 2.083321, 2.034814, 
    1.989208, 1.946852, 1.906596, 1.867442, 1.817489, 1.761839, 1.708988, 
    1.657302, 1.611469, 1.572386, 1.532953, 1.487718, 1.448621, 1.443921, 
    1.533029, 1.725446, 1.936699, 2.131451, 2.325153, 2.535054, 2.744259, 
    2.931726, 3.098892, 3.176596, 3.174294, 3.160492, 3.137939, 3.104037, 
    3.062183, 3.016982, 2.96653, 2.913581, 2.863984, 2.824985, 2.791585, 
    2.758685, 1.914841, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7359788, 1.478607, 1.491505, 1.506003, 1.520197, 1.544537, 1.512477, 
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    2.602582, 2.676481, 2.755632, 2.833236, 2.898989, 2.948241, 2.983145, 
    3.001847, 3.008148, 3.00875, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
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    3.009, 3.007751, 3.002302, 2.985454, 2.958208, 2.924512, 2.884167, 
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    1.214192, 1.187792, 1.165743, 1.156746, 1.16525, 1.196006, 1.251514, 
    1.326771, 1.427927, 1.566984, 1.73114, 1.896043, 2.060593, 2.231841, 
    2.391486, 2.527279, 2.646971, 2.752413, 2.831706,
  2.895992, 2.91314, 2.939188, 2.959087, 2.972488, 2.98169, 2.989293, 
    2.994844, 2.999746, 3.003248, 3.005949, 3.007799, 3.00875, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.001802, 2.997771, 3.043454, 
    3.122643, 3.208233, 3.288669, 3.369456, 3.457795, 3.541886, 3.609314, 
    3.622452, 3.566015, 3.483576, 3.40444, 3.324253, 3.236614, 3.148825, 
    3.075538, 3.023258, 3.012952, 3.013803, 3.015253, 3.017754, 3.023706, 
    3.034408, 3.05276, 3.08161, 3.130858, 3.208257, 3.299002, 3.401643, 
    3.522683, 3.643676, 3.732474, 3.809721, 3.902268, 3.996469, 2.020985, 0, 
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    1.701458, 2.193333, 2.128833, 2.063484, 2.000383, 1.93833, 1.882774, 
    1.829568, 1.780612, 1.734458, 1.690053, 1.63655, 1.583104, 1.538418, 
    1.503884, 1.478301, 1.458167, 1.437332, 1.410548, 1.381763, 1.385477, 
    1.483334, 1.685835, 1.900037, 2.096238, 2.291739, 2.503541, 2.716041, 
    2.91174, 3.086086, 3.162881, 3.154923, 3.135716, 3.107409, 3.068002, 
    3.021397, 2.973695, 2.923197, 2.874502, 2.829358, 2.793211, 2.762315, 
    2.598046, 0.9532008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.108054, 0, 0, 0.1113132, 1.482231, 2.371216, 2.438525, 2.512033, 
    2.582083, 2.654983, 2.735233, 2.816686, 2.885738, 2.938241, 2.976394, 
    2.998246, 3.006449, 3.007999, 3.008499, 3.00895, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.00825, 3.004001, 2.989553, 2.966256, 2.93726, 2.902314, 
    2.858068, 2.814667, 2.777017, 2.734466, 2.683065, 2.630263, 1.940827, 
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    1.205193, 1.179293, 1.158495, 1.152997, 1.166752, 1.204558, 1.267814, 
    1.35052, 1.458776, 1.60443, 1.774034, 1.941786, 2.106385, 2.274182, 
    2.427526, 2.555019, 2.666062, 2.762505, 2.833899,
  2.882487, 2.898236, 2.922285, 2.941885, 2.956736, 2.968789, 2.979291, 
    2.987293, 2.994245, 2.999796, 3.003898, 3.006449, 3.007999, 3.00885, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.004202, 3.020767, 
    3.105247, 3.230733, 3.364021, 3.487656, 3.61199, 3.747828, 3.879666, 
    3.983296, 3.986792, 3.887259, 3.757771, 3.635437, 3.511703, 3.377515, 
    3.242228, 3.125293, 3.034611, 3.015502, 3.016803, 3.018753, 3.023155, 
    3.031757, 3.04566, 3.066513, 3.096815, 3.145816, 3.220914, 3.304507, 
    3.397901, 3.507743, 3.620186, 3.707485, 3.780782, 3.87048, 3.964779, 
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    0, 0, 1.041188, 2.04773, 1.985934, 1.924089, 1.862392, 1.798942, 
    1.736286, 1.67478, 1.619124, 1.567319, 1.517616, 1.461915, 1.417876, 
    1.389589, 1.373603, 1.368469, 1.366684, 1.364198, 1.357114, 1.35379, 
    1.374754, 1.475503, 1.678853, 1.894354, 2.091254, 2.287103, 2.498901, 
    2.707645, 2.892229, 3.058269, 3.128663, 3.111657, 3.083449, 3.046843, 
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    0.6969865, 1.399574, 1.410475, 1.420774, 1.426475, 1.436723, 1.466216, 
    1.062571, 0, 0, 0, 0.6895393, 2.330217, 2.408175, 2.491083, 2.563637, 
    2.634735, 2.715635, 2.799236, 2.870838, 2.925989, 2.967141, 2.991693, 
    3.001894, 3.004495, 3.005346, 3.006396, 3.006496, 3.006496, 3.006496, 
    3.006496, 3.006496, 3.006496, 3.006496, 3.006496, 3.006496, 3.006496, 
    3.006496, 3.006496, 3.006496, 3.006496, 3.006847, 3.006997, 3.006997, 
    3.006997, 3.007347, 3.007548, 3.007998, 3.007998, 3.008349, 3.008449, 
    3.007998, 3.007498, 3.003849, 2.99155, 2.971303, 2.946506, 2.915758, 
    2.875861, 2.834014, 2.795764, 2.752263, 2.699412, 2.643209, 2.585254, 
    1.646344, 1.228147, 1.190037, 1.157836, 0.3438953, 0, 0, 0, 0, 0, 0, 0, 
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    1.27269, 1.257841, 1.239841, 1.219242, 1.196543, 1.171344, 1.152395, 
    1.150999, 1.169903, 1.214558, 1.285114, 1.374769, 1.488924, 1.639828, 
    1.812829, 1.981279, 2.144477, 2.307573, 2.454067, 2.573261, 2.675654, 
    2.763597, 2.827892,
  2.861982, 2.876681, 2.899831, 2.919832, 2.936733, 2.951885, 2.965788, 
    2.97674, 2.985492, 2.992843, 2.998844, 3.002746, 3.004996, 3.006196, 
    3.006947, 3.007147, 3.007498, 3.007848, 3.008049, 3.008499, 3.008499, 
    3.00885, 3.008499, 3.007998, 3.007748, 3.007147, 3.006546, 3.006496, 
    3.006496, 3.006496, 3.006546, 3.006997, 3.007247, 3.007848, 3.008499, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.006602, 3.040263, 3.157935, 
    3.327767, 3.50715, 3.673632, 3.841165, 4.023949, 4.203936, 4.344012, 
    4.343359, 4.205884, 4.031602, 3.866671, 3.700339, 3.519555, 3.33762, 
    3.177037, 3.047259, 3.018603, 3.020604, 3.023755, 3.030406, 3.04281, 
    3.061063, 3.085767, 3.11957, 3.170622, 3.243771, 3.320016, 3.40536, 
    3.505253, 3.609397, 3.694745, 3.764343, 3.850189, 3.943287, 1.994744, 0, 
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    0.5004969, 1.637248, 1.87289, 1.822703, 1.770214, 1.713523, 1.650428, 
    1.587082, 1.530235, 1.477238, 1.427892, 1.382107, 1.354522, 1.343035, 
    1.345249, 1.35816, 1.372571, 1.385581, 1.395341, 1.413198, 1.440595, 
    1.534135, 1.72742, 1.933305, 2.121542, 2.308729, 2.508312, 2.700895, 
    2.863977, 3.01236, 3.073502, 3.047394, 3.010438, 2.965432, 2.911527, 
    2.858877, 2.812679, 2.768232, 2.727334, 2.693539, 2.667192, 2.645396, 
    1.327644, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3437328, 
    1.171182, 1.387839, 1.39794, 1.406244, 1.418748, 1.442196, 1.038441, 0, 
    0, 0, 0.6770914, 2.292224, 2.379631, 2.471838, 2.54839, 2.616487, 
    2.696486, 2.780836, 2.853987, 2.910237, 2.953888, 2.98069, 2.992692, 
    2.996242, 2.997692, 2.998893, 2.999143, 2.999493, 2.999493, 2.999493, 
    2.999493, 2.999493, 2.999493, 2.999493, 2.999493, 2.999493, 2.999493, 
    2.999493, 2.999493, 2.999493, 2.999843, 3.000493, 3.000994, 3.001244, 
    3.002195, 3.003046, 3.004146, 3.004747, 3.005697, 3.005897, 3.004847, 
    3.003746, 3.000196, 2.989096, 2.970897, 2.948498, 2.92085, 2.884252, 
    2.843701, 2.8045, 2.760049, 2.705298, 2.645646, 2.583243, 2.515589, 
    2.440983, 2.360276, 2.288715, 1.439579, 0.1087131, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4476215, 0.7026607, 1.277236, 
    1.267987, 1.258739, 1.244889, 1.22799, 1.208241, 1.186742, 1.162943, 
    1.147096, 1.15075, 1.175055, 1.22606, 1.303264, 1.399018, 1.517871, 
    1.672623, 1.846673, 2.014022, 2.174019, 2.331464, 2.470608, 2.581502, 
    2.675596, 2.75524, 2.813186,
  2.834478, 2.847777, 2.870427, 2.891778, 2.91123, 2.929632, 2.946784, 
    2.960836, 2.971738, 2.98089, 2.988391, 2.994041, 2.997242, 2.999043, 
    3.000444, 3.001445, 3.002745, 3.004046, 3.005097, 3.006648, 3.007249, 
    3.007849, 3.006949, 3.005198, 3.003746, 3.001945, 2.999643, 2.998993, 
    2.998993, 2.998993, 2.999594, 3.001295, 3.002746, 3.004547, 3.006948, 
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    3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.008551, 3.054758, 3.197573, 
    3.404796, 3.624221, 3.829847, 4.037223, 4.263502, 4.48748, 4.658949, 
    4.656449, 4.490182, 4.277408, 4.074884, 3.869909, 3.646531, 3.421403, 
    3.221027, 3.058457, 3.022704, 3.026055, 3.031506, 3.041159, 3.057862, 
    3.081416, 3.111521, 3.150725, 3.205628, 3.275775, 3.346021, 3.424317, 
    3.515211, 3.610554, 3.690999, 3.756396, 3.641215, 1.964611, 0.993839, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.303049, 1.844567, 1.815785, 1.780799, 1.741615, 1.691779, 1.637288, 
    1.588346, 1.542203, 1.50016, 1.468215, 1.452118, 1.450369, 1.461068, 
    1.479415, 1.49786, 1.513855, 1.52635, 1.544844, 1.56709, 1.64708, 
    1.817862, 2.000393, 2.167526, 2.333607, 2.508739, 2.675869, 2.815453, 
    2.940336, 2.989426, 2.955522, 2.91317, 2.863119, 2.806269, 2.754471, 
    2.711423, 2.671527, 2.633379, 2.602429, 2.57943, 2.561683, 0.2557933, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4791697, 1.313154, 
    1.394154, 1.407758, 1.426262, 1.451417, 1.040561, 0, 0, 0, 0.6665932, 
    2.259979, 2.353281, 2.452234, 2.533088, 2.599488, 2.678137, 2.761887, 
    2.835136, 2.891736, 2.936436, 2.965187, 2.978838, 2.983239, 2.985189, 
    2.986439, 2.98714, 2.987489, 2.987489, 2.987489, 2.987489, 2.987489, 
    2.987489, 2.987489, 2.987489, 2.987489, 2.987489, 2.987489, 2.98764, 
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    2.996443, 2.997993, 2.999193, 2.999393, 2.998043, 2.995743, 2.991692, 
    2.980642, 2.963192, 2.942243, 2.916744, 2.882145, 2.841746, 2.800995, 
    2.755344, 2.698242, 2.635239, 2.569237, 2.497284, 2.41553, 2.326875, 
    2.243469, 2.16181, 0.2140958, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.8851376, 1.263584, 1.257685, 1.250237, 1.242087, 1.229388, 
    1.213639, 1.19474, 1.174441, 1.153994, 1.142948, 1.152252, 1.182556, 
    1.23956, 1.322765, 1.423518, 1.54597, 1.70207, 1.875569, 2.039766, 
    2.194862, 2.345807, 2.47665, 2.579245, 2.665039, 2.737284, 2.78928,
  2.798973, 2.811573, 2.834524, 2.857876, 2.879977, 2.901729, 2.921831, 
    2.939084, 2.952485, 2.963436, 2.972838, 2.979839, 2.98424, 2.98724, 
    2.989542, 2.992093, 2.994493, 2.997595, 3.000096, 3.002947, 3.004497, 
    3.004647, 3.002896, 2.999745, 2.996494, 2.992892, 2.988642, 2.98619, 
    2.985489, 2.985839, 2.98804, 2.991392, 2.994993, 2.998595, 3.002996, 
    3.007098, 3.00875, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 
    3.009, 3.009, 3.00905, 3.009501, 3.009501, 3.009501, 3.009501, 3.0098, 
    3.062753, 3.222111, 3.455925, 3.705691, 3.941808, 4.181077, 4.443447, 
    4.702768, 4.898882, 4.896883, 4.711524, 4.47096, 4.240094, 4.004677, 
    3.746907, 3.486137, 3.254519, 3.068056, 3.028204, 3.033155, 3.041507, 
    3.05546, 3.077465, 3.10772, 3.145025, 3.191431, 3.249181, 3.315579, 
    3.381027, 3.453473, 3.536568, 3.622011, 3.694505, 3.754401, 1.906557, 0, 
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    0, 1.326181, 1.892348, 1.879602, 1.858307, 1.834563, 1.803525, 1.764487, 
    1.726344, 1.690651, 1.657657, 1.633562, 1.621615, 1.621216, 1.629914, 
    1.643561, 1.655607, 1.664151, 1.668796, 1.679191, 1.694585, 1.757572, 
    1.901753, 2.056434, 2.197766, 2.338049, 2.485229, 2.62456, 2.738943, 
    2.839326, 2.877069, 2.838267, 2.793165, 2.741414, 2.684864, 2.635366, 
    2.596419, 2.561672, 2.526474, 2.494523, 2.474175, 2.459777, 0.2456928, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6220191, 
    0.9126049, 1.427519, 1.451772, 1.483577, 1.061918, 0, 0, 0, 0.3304586, 
    1.688258, 2.330988, 2.43329, 2.517441, 2.58324, 2.660589, 2.742437, 
    2.814486, 2.870485, 2.915285, 2.945185, 2.959986, 2.965236, 2.968037, 
    2.969487, 2.970487, 2.970487, 2.970487, 2.970487, 2.970487, 2.970487, 
    2.970487, 2.970487, 2.970487, 2.970487, 2.970487, 2.970487, 2.970787, 
    2.971487, 2.972187, 2.973038, 2.974588, 2.976738, 2.978889, 2.98149, 
    2.98424, 2.986491, 2.987691, 2.987891, 2.986241, 2.98274, 2.977839, 
    2.966189, 2.948838, 2.928488, 2.903588, 2.870589, 2.830789, 2.788238, 
    2.740436, 2.681135, 2.614983, 2.545981, 2.47068, 2.384027, 2.290174, 
    2.199971, 2.108016, 0.9990998, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.05332104, 0.5342618, 0.5399694, 0.1629671, 0, 0, 0, 0.8690402, 
    1.242437, 1.237637, 1.231738, 1.224438, 1.212839, 1.19809, 1.180741, 
    1.161992, 1.146096, 1.14145, 1.156754, 1.193058, 1.256063, 1.344816, 
    1.449268, 1.574019, 1.729518, 1.900365, 2.059261, 2.207656, 2.35065, 
    2.472043, 2.566238, 2.643983, 2.709378, 2.756525,
  2.755471, 2.768421, 2.792572, 2.818123, 2.843225, 2.867977, 2.891329, 
    2.911681, 2.927483, 2.940134, 2.951735, 2.960286, 2.966237, 2.970438, 
    2.974539, 2.979041, 2.983242, 2.988493, 2.993095, 2.997596, 2.999246, 
    2.998445, 2.994944, 2.990143, 2.984741, 2.978639, 2.971637, 2.966585, 
    2.964735, 2.966736, 2.971538, 2.97749, 2.983492, 2.989844, 2.996596, 
    3.003847, 3.007999, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009, 3.009151, 
    3.009501, 3.009501, 3.009551, 3.01015, 3.010501, 3.010501, 3.010501, 
    3.010801, 3.066001, 3.234255, 3.483611, 3.75262, 4.008779, 4.269839, 
    4.557902, 4.842464, 5.055572, 5.055523, 4.859219, 4.602712, 4.354305, 
    4.098896, 3.817234, 3.530771, 3.277261, 3.076255, 3.034755, 3.041906, 
    3.053758, 3.072612, 3.102117, 3.141674, 3.18753, 3.242485, 3.301586, 
    3.365835, 3.427783, 3.495331, 3.570926, 3.64617, 2.773344, 1.875301, 
    0.1882641, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.376233, 1.968801, 1.962104, 1.947308, 1.931462, 
    1.916121, 1.89388, 1.865586, 1.839742, 1.815547, 1.798551, 1.790854, 
    1.790853, 1.796351, 1.804898, 1.810093, 1.811089, 1.807734, 1.809728, 
    1.816823, 1.860311, 1.975292, 2.101324, 2.216007, 2.329991, 2.448673, 
    2.558955, 2.646939, 2.722323, 2.749666, 2.706363, 2.658411, 2.60486, 
    2.54851, 2.501762, 2.467165, 2.438168, 2.40552, 2.371619, 2.35417, 
    2.343022, 0.2340923, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.2145313, 1.094817, 1.493081, 1.530383, 1.341733, 0.849061, 
    0.9055817, 0.09201498, 0, 1.130247, 2.316143, 2.419292, 2.503992, 
    2.56774, 2.642689, 2.721937, 2.791385, 2.845733, 2.889933, 2.921084, 
    2.936634, 2.942484, 2.945884, 2.947935, 2.948985, 2.948985, 2.948985, 
    2.948985, 2.948985, 2.948985, 2.948985, 2.948985, 2.948985, 2.948985, 
    2.948985, 2.948985, 2.949285, 2.949985, 2.950685, 2.952486, 2.954586, 
    2.956986, 2.959737, 2.963487, 2.967388, 2.970238, 2.971689, 2.971388, 
    2.968937, 2.964236, 2.957785, 2.944734, 2.926383, 2.904481, 2.879081, 
    2.84658, 2.806981, 2.76273, 2.712879, 2.651177, 2.582876, 2.511725, 
    2.434624, 2.345474, 2.248722, 2.155721, 2.05817, 1.851883, 0.6370961, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.531381, 1.066599, 1.077749, 0.3251996, 0, 0, 
    0.2991238, 1.033815, 1.222287, 1.217287, 1.212487, 1.206639, 1.195839, 
    1.182039, 1.166991, 1.151594, 1.141649, 1.144103, 1.165757, 1.207711, 
    1.276964, 1.370567, 1.477769, 1.603169, 1.756317, 1.921563, 2.073257, 
    2.213752, 2.346695, 2.458289, 2.543733, 2.613428, 2.672474, 2.715422,
  2.70647, 2.71977, 2.745571, 2.773223, 2.800974, 2.828726, 2.855277, 
    2.878279, 2.89648, 2.911182, 2.924732, 2.935234, 2.943235, 2.949136, 
    2.955037, 2.961789, 2.96874, 2.976392, 2.984044, 2.990595, 2.991245, 
    2.988393, 2.981991, 2.974539, 2.966487, 2.957385, 2.946683, 2.938481, 
    2.93548, 2.940182, 2.948634, 2.958737, 2.967989, 2.977592, 2.988044, 
    2.998596, 3.005748, 3.0087, 3.009, 3.009, 3.009, 3.009, 3.009451, 
    3.00965, 3.01025, 3.010501, 3.010551, 3.011151, 3.011751, 3.012001, 
    3.011901, 3.011, 3.065999, 3.237549, 3.492199, 3.767899, 4.03225, 
    4.303953, 4.605307, 4.903211, 5.126016, 5.127616, 4.927266, 4.666317, 
    4.411766, 4.148115, 3.854111, 3.553757, 3.288753, 3.081502, 3.040353, 
    3.050454, 3.067008, 3.091962, 3.130868, 3.182876, 3.239283, 3.301286, 
    3.361937, 3.424886, 3.484535, 3.548383, 3.616679, 3.120368, 0.9241682, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1.426628, 2.045292, 2.044746, 2.0363, 2.027154, 2.02421, 
    2.016368, 1.998825, 1.980929, 1.964833, 1.953587, 1.949088, 1.948438, 
    1.950636, 1.953232, 1.951829, 1.945875, 1.93427, 1.928266, 1.927061, 
    1.955955, 2.043791, 2.140724, 2.229259, 2.316743, 2.407076, 2.488209, 
    2.549694, 2.599979, 2.609514, 2.560461, 2.509158, 2.453657, 2.397207, 
    2.353159, 2.322911, 2.300015, 2.270117, 2.238871, 2.224923, 2.217276, 
    1.085401, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3740622, 1.315063, 1.589738, 1.640438, 1.722281, 1.827922, 0.9736724, 
    0, 1.125748, 2.306095, 2.407394, 2.491193, 2.552742, 2.623739, 2.699436, 
    2.765634, 2.817733, 2.860732, 2.892081, 2.908432, 2.915233, 2.918883, 
    2.921383, 2.922633, 2.922984, 2.922984, 2.922984, 2.922983, 2.922984, 
    2.922984, 2.922984, 2.922983, 2.922984, 2.922984, 2.922984, 2.923133, 
    2.923733, 2.924684, 2.926984, 2.929734, 2.932734, 2.936085, 2.940536, 
    2.945536, 2.948986, 2.951036, 2.949886, 2.946135, 2.939984, 2.931032, 
    2.915681, 2.894779, 2.870728, 2.843877, 2.809726, 2.769975, 2.724975, 
    2.673324, 2.609623, 2.539072, 2.466721, 2.388771, 2.29847, 2.201621, 
    2.110474, 2.011975, 1.896174, 1.507925, 0.4184887, 0, 0.06502594, 
    0.4551816, 0, 0, 0, 0, 0, 0.3714337, 1.007861, 1.0661, 1.076499, 
    0.3245996, 0, 0, 0.5939959, 1.198141, 1.20379, 1.19844, 1.194491, 
    1.189491, 1.179441, 1.167343, 1.154994, 1.144747, 1.142152, 1.152407, 
    1.180761, 1.228715, 1.303417, 1.401169, 1.51002, 1.634269, 1.783066, 
    1.940461, 2.083005, 2.213999, 2.336242, 2.437386, 2.513981, 2.576227, 
    2.629073, 2.667971,
  2.654972, 2.668972, 2.696123, 2.725674, 2.755475, 2.785976, 2.815228, 
    2.840228, 2.860229, 2.87708, 2.892731, 2.905182, 2.915233, 2.923184, 
    2.931586, 2.941388, 2.95149, 2.962292, 2.973344, 2.980644, 2.978741, 
    2.972289, 2.962437, 2.951285, 2.939733, 2.92678, 2.911728, 2.900026, 
    2.896976, 2.905479, 2.919533, 2.934436, 2.948238, 2.962041, 2.977044, 
    2.991846, 3.002248, 3.0081, 3.009, 3.009, 3.00925, 3.009501, 3.01, 
    3.0105, 3.011, 3.011501, 3.012051, 3.013001, 3.013501, 3.014001, 
    3.011348, 3.006746, 3.059244, 3.228991, 3.476333, 3.744876, 4.003969, 
    4.272513, 4.571957, 4.871355, 5.098706, 5.103109, 4.905763, 4.653421, 
    4.405228, 4.146184, 3.853539, 3.553694, 3.289248, 3.082199, 3.0425, 
    3.056302, 3.078505, 3.11156, 3.163019, 3.229977, 3.299535, 3.367338, 
    3.42979, 3.49274, 3.55129, 3.612289, 3.673335, 2.599121, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.473525, 2.117289, 2.123393, 2.121296, 2.117448, 2.124253, 2.128509, 
    2.122064, 2.111418, 2.101771, 2.095674, 2.093075, 2.091524, 2.089922, 
    2.086218, 2.078565, 2.066011, 2.046858, 2.033804, 2.024049, 2.043344, 
    2.10633, 2.174615, 2.237, 2.298337, 2.359621, 2.411955, 2.446941, 
    2.471777, 2.456613, 2.400759, 2.345407, 2.287956, 2.231356, 2.189557, 
    2.163409, 2.146012, 2.118813, 2.095417, 2.08567, 2.082572, 1.878983, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4099455, 
    1.384545, 1.658339, 1.707387, 1.776781, 1.868574, 1.775315, 0, 1.12375, 
    2.299998, 2.397495, 2.478894, 2.537992, 2.604089, 2.674586, 2.737384, 
    2.786732, 2.828031, 2.858631, 2.875381, 2.883231, 2.887231, 2.889881, 
    2.891281, 2.891982, 2.891981, 2.891982, 2.891981, 2.891982, 2.891981, 
    2.891982, 2.891981, 2.891982, 2.891981, 2.891982, 2.892131, 2.892982, 
    2.894182, 2.896532, 2.899883, 2.903733, 2.907933, 2.913034, 2.918684, 
    2.922734, 2.925035, 2.923734, 2.918183, 2.909982, 2.89793, 2.879628, 
    2.855527, 2.828725, 2.799123, 2.762271, 2.721571, 2.677722, 2.624772, 
    2.559621, 2.487771, 2.41422, 2.334718, 2.242017, 2.144215, 2.053713, 
    1.954812, 1.838962, 1.711066, 1.20415, 0.7346483, 0.7387116, 1.080186, 
    0.3023285, 0, 0, 0, 0, 0.742, 1.0604, 1.06595, 1.075499, 0.3241498, 0, 
    0.172988, 0.8753095, 1.182741, 1.18649, 1.181741, 1.178742, 1.174693, 
    1.165993, 1.156095, 1.147998, 1.144102, 1.149256, 1.168361, 1.204015, 
    1.257868, 1.33727, 1.437321, 1.546021, 1.667669, 1.810365, 1.95841, 
    2.090254, 2.210197, 2.321291, 2.411986, 2.479731, 2.535227, 2.582274, 
    2.617872,
  2.604475, 2.618825, 2.646675, 2.677626, 2.709227, 2.741177, 2.772628, 
    2.799028, 2.819979, 2.83848, 2.85578, 2.870281, 2.882482, 2.892934, 
    2.904636, 2.918438, 2.93274, 2.947392, 2.961944, 2.968043, 2.963242, 
    2.95284, 2.938888, 2.922935, 2.906482, 2.88898, 2.869228, 2.854026, 
    2.852978, 2.86663, 2.887433, 2.908287, 2.92724, 2.946192, 2.966095, 
    2.985897, 3.00025, 3.008301, 3.009501, 3.009501, 3.01, 3.0105, 3.011001, 
    3.011651, 3.012501, 3.013351, 3.014502, 3.015501, 3.016001, 3.01475, 
    3.006346, 2.995543, 3.042739, 3.20158, 3.427466, 3.674852, 3.91594, 
    4.166478, 4.450567, 4.738658, 4.963404, 4.972907, 4.790669, 4.560333, 
    4.330945, 4.087906, 3.811468, 3.52773, 3.27774, 3.078147, 3.041199, 
    3.059651, 3.088505, 3.132061, 3.199019, 3.282378, 3.364533, 3.437235, 
    3.502737, 3.567888, 3.626288, 3.684337, 3.547542, 1.307681, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.7475462, 2.078825, 2.201389, 2.205542, 2.206545, 2.221149, 2.233752, 
    2.236055, 2.232058, 2.227211, 2.224612, 2.222812, 2.219961, 2.213859, 
    2.204056, 2.189802, 2.170999, 2.145296, 2.124842, 2.106788, 2.117434, 
    2.155922, 2.196008, 2.231994, 2.267632, 2.300568, 2.324003, 2.33319, 
    2.332578, 2.292665, 2.229561, 2.169909, 2.110258, 2.053458, 2.013309, 
    1.99066, 1.977812, 1.954816, 1.93962, 1.934672, 1.936725, 1.846029, 
    0.6600642, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.8400211, 1.697192, 1.733089, 1.778187, 1.83528, 1.913724, 1.909772, 
    1.066423, 1.671551, 2.298701, 2.390647, 2.468295, 2.523493, 2.58394, 
    2.648637, 2.706484, 2.752482, 2.791481, 2.82113, 2.83768, 2.84623, 
    2.85058, 2.853831, 2.855281, 2.855981, 2.855981, 2.855981, 2.855981, 
    2.855981, 2.855981, 2.855981, 2.855981, 2.855981, 2.855981, 2.855981, 
    2.856131, 2.85723, 2.858681, 2.861531, 2.865381, 2.869481, 2.874632, 
    2.880983, 2.887333, 2.892234, 2.894684, 2.892633, 2.885082, 2.87423, 
    2.859179, 2.83918, 2.81438, 2.786731, 2.756282, 2.719283, 2.678434, 
    2.632731, 2.576528, 2.508526, 2.432872, 2.355719, 2.271916, 2.174963, 
    2.072811, 1.97946, 1.88016, 1.766312, 1.645015, 1.540969, 1.442525, 
    1.330184, 1.239088, 0.5992452, 0, 0, 0, 0, 0.3706262, 1.007297, 1.0653, 
    1.074499, 0.7071356, 0.1111619, 0.7390959, 1.154745, 1.169345, 1.172145, 
    1.168545, 1.166746, 1.164246, 1.158048, 1.151951, 1.149754, 1.152807, 
    1.165861, 1.193665, 1.236519, 1.295822, 1.379073, 1.480324, 1.588023, 
    1.705871, 1.841217, 1.978911, 2.099006, 2.207199, 2.306393, 2.386738, 
    2.445984, 2.49473, 2.536428, 2.568926,
  2.556979, 2.570979, 2.598728, 2.630428, 2.662979, 2.695179, 2.727128, 
    2.754178, 2.775979, 2.795329, 2.81383, 2.83038, 2.845232, 2.859033, 
    2.875236, 2.89509, 2.915994, 2.936197, 2.955049, 2.960599, 2.953498, 
    2.939396, 2.920794, 2.898791, 2.875488, 2.850783, 2.82528, 2.806678, 
    2.807979, 2.827832, 2.855035, 2.882638, 2.907241, 2.931494, 2.957546, 
    2.988905, 3.014513, 3.031021, 3.034022, 3.034022, 3.034522, 3.035022, 
    3.035972, 3.035172, 3.029765, 3.024009, 3.018102, 3.018652, 3.019502, 
    3.0144, 2.999247, 2.981043, 3.017737, 3.152773, 3.346506, 3.56229, 
    3.775175, 3.99716, 4.255946, 4.520182, 4.730372, 4.747376, 4.593792, 
    4.396159, 4.194674, 3.977087, 3.728503, 3.473619, 3.250984, 3.070696, 
    3.0403, 3.064453, 3.101507, 3.157113, 3.240971, 3.339777, 3.429029, 
    3.505331, 3.575183, 3.643835, 3.702785, 3.757884, 1.884154, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1.117078, 2.277585, 2.286786, 2.293189, 2.313091, 2.330592, 
    2.338044, 2.339196, 2.338598, 2.338549, 2.33755, 2.333399, 2.323298, 
    2.308045, 2.288043, 2.263491, 2.231688, 2.204035, 2.178532, 2.175773, 
    2.187409, 2.198545, 2.208483, 2.217721, 2.222507, 2.217695, 2.201683, 
    2.176572, 2.119517, 2.051166, 1.987915, 1.926064, 1.869014, 1.829914, 
    1.809915, 1.800416, 1.787122, 1.780326, 1.780178, 1.78703, 1.803284, 
    1.271156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.8820195, 1.779438, 1.810636, 1.849632, 1.894777, 1.960572, 2.047766, 
    2.140409, 2.223254, 2.301552, 2.387649, 2.460047, 2.510494, 2.563741, 
    2.621637, 2.673434, 2.715482, 2.75123, 2.77923, 2.79568, 2.80473, 
    2.80958, 2.81288, 2.81478, 2.81548, 2.81548, 2.81548, 2.81548, 2.81548, 
    2.81548, 2.81548, 2.81548, 2.81548, 2.81548, 2.81548, 2.81548, 2.81648, 
    2.81853, 2.821981, 2.82603, 2.830481, 2.836331, 2.843982, 2.851482, 
    2.856982, 2.859332, 2.856132, 2.846981, 2.832979, 2.816179, 2.79718, 
    2.772329, 2.742727, 2.713827, 2.678828, 2.637978, 2.584723, 2.52167, 
    2.446915, 2.364012, 2.282961, 2.195961, 2.094159, 1.989058, 1.895209, 
    1.799261, 1.690515, 1.577269, 1.482224, 1.394879, 1.300187, 1.217541, 
    0.5907465, 0, 0, 0, 0.2652458, 0.5304915, 1.007349, 1.0648, 1.07375, 
    1.087949, 0.2216996, 1.129648, 1.147498, 1.161848, 1.165649, 1.16335, 
    1.163, 1.162302, 1.160554, 1.159807, 1.163259, 1.173012, 1.193916, 
    1.229819, 1.278772, 1.343124, 1.429025, 1.531025, 1.636524, 1.749371, 
    1.876467, 2.002411, 2.110756, 2.207551, 2.294945, 2.364641, 2.415737, 
    2.457733, 2.494031, 2.523129,
  2.512982, 2.526632, 2.553282, 2.584281, 2.61623, 2.64818, 2.679229, 
    2.706029, 2.727979, 2.747829, 2.767329, 2.78548, 2.803231, 2.821333, 
    2.844386, 2.873341, 2.903746, 2.9324, 2.956852, 2.964304, 2.955503, 
    2.938303, 2.9142, 2.884846, 2.852742, 2.818188, 2.784133, 2.762332, 
    2.765984, 2.791686, 2.825038, 2.85864, 2.889243, 2.920197, 2.958053, 
    3.007761, 3.050268, 3.082275, 3.09358, 3.094531, 3.094781, 3.095381, 
    3.094679, 3.086674, 3.068519, 3.048613, 3.027807, 3.022802, 3.023752, 
    3.01455, 2.992247, 2.967194, 2.987987, 3.090322, 3.246606, 3.425589, 
    3.603924, 3.791708, 4.017944, 4.251431, 4.437119, 4.463222, 4.345889, 
    4.186205, 4.01842, 3.833135, 3.619551, 3.400667, 3.212482, 3.063498, 
    3.043903, 3.074706, 3.12126, 3.188815, 3.289422, 3.402027, 3.494529, 
    3.575131, 3.650033, 3.722084, 3.782785, 3.835434, 0.3848034, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.234703, 2.35033, 2.362781, 2.373483, 2.395633, 2.415033, 
    2.424283, 2.429685, 2.434488, 2.43814, 2.438791, 2.434191, 2.42169, 
    2.402339, 2.377787, 2.348685, 2.311483, 2.276229, 2.243276, 2.221168, 
    2.202455, 2.183942, 2.16748, 2.149969, 2.126157, 2.094696, 2.054937, 
    2.006778, 1.940674, 1.869723, 1.804923, 1.742573, 1.685573, 1.647374, 
    1.629174, 1.621475, 1.621481, 1.623234, 1.626936, 1.638338, 1.66094, 
    1.17596, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9205149, 1.853278, 1.880977, 1.915276, 1.951774, 2.005769, 2.080663, 
    2.159458, 2.232504, 2.305552, 2.385649, 2.452346, 2.497744, 2.544192, 
    2.594239, 2.639736, 2.676984, 2.708632, 2.73433, 2.75003, 2.75898, 
    2.76408, 2.76698, 2.769279, 2.76998, 2.76998, 2.769979, 2.769979, 
    2.76998, 2.76998, 2.769979, 2.769979, 2.76998, 2.76998, 2.769979, 
    2.77013, 2.77123, 2.77338, 2.77703, 2.78183, 2.787231, 2.793681, 
    2.801981, 2.810281, 2.816482, 2.818482, 2.814531, 2.803981, 2.789732, 
    2.77023, 2.746525, 2.713969, 2.674964, 2.639107, 2.597352, 2.549546, 
    2.487192, 2.416789, 2.33819, 2.256844, 2.180699, 2.096852, 1.997706, 
    1.895659, 1.805712, 1.715064, 1.613717, 1.510822, 1.425476, 1.34888, 
    1.270287, 1.199343, 0.8662366, 0.556922, 0.5448117, 0.5373054, 0.796726, 
    1.06, 1.0603, 1.0648, 1.0735, 1.087801, 0.1653025, 0.7356179, 1.150254, 
    1.165205, 1.170655, 1.170306, 0.8762566, 0.9969584, 1.17661, 1.180512, 
    1.189014, 1.204866, 1.233419, 1.276822, 1.330774, 1.399076, 1.486926, 
    1.588426, 1.690524, 1.797521, 1.915267, 2.028912, 2.125257, 2.210752, 
    2.286547, 2.346043, 2.38924, 2.424387, 2.455184, 2.481183,
  2.472986, 2.485234, 2.510684, 2.539683, 2.569482, 2.599981, 2.629731, 
    2.65523, 2.676229, 2.696179, 2.715979, 2.73593, 2.756981, 2.781184, 
    2.813438, 2.853043, 2.894247, 2.933351, 2.966105, 2.977607, 2.969007, 
    2.949206, 2.919054, 2.8811, 2.839747, 2.795594, 2.75239, 2.726138, 
    2.731739, 2.76114, 2.799541, 2.838643, 2.875246, 2.915349, 2.969606, 
    3.037312, 3.095769, 3.143024, 3.167429, 3.172682, 3.173032, 3.173032, 
    3.166729, 3.146824, 3.116269, 3.082564, 3.046508, 3.030254, 3.028752, 
    3.017102, 2.9879, 2.956847, 2.960241, 3.028028, 3.145663, 3.285948, 
    3.427934, 3.57937, 3.769555, 3.969592, 4.12638, 4.160683, 4.081448, 
    3.960713, 3.829177, 3.679441, 3.503605, 3.323471, 3.172235, 3.059499, 
    3.052654, 3.091458, 3.147761, 3.226465, 3.34147, 3.466775, 3.563027, 
    3.648428, 3.72843, 3.804482, 3.868284, 2.527513, 0.1942504, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.1190084, 1.555462, 2.415262, 2.431265, 2.454615, 2.478919, 
    2.491772, 2.502524, 2.514327, 2.523179, 2.527281, 2.523682, 2.510933, 
    2.488581, 2.460781, 2.428079, 2.385327, 2.342274, 2.297768, 2.252908, 
    2.203547, 2.155035, 2.111224, 2.067414, 2.016804, 1.960796, 1.900689, 
    1.838486, 1.770338, 1.701991, 1.640694, 1.581846, 1.527998, 1.491849, 
    1.4752, 1.46765, 1.477902, 1.485404, 1.490203, 1.503403, 1.453645, 
    0.5637659, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2895726, 1.436383, 1.918024, 1.942123, 1.974472, 2.007271, 2.052669, 
    2.116666, 2.184262, 2.247758, 2.312654, 2.383499, 2.444647, 2.485245, 
    2.525493, 2.56739, 2.606087, 2.637485, 2.664683, 2.686981, 2.701231, 
    2.70923, 2.71408, 2.71698, 2.71913, 2.71948, 2.71948, 2.71948, 2.71948, 
    2.71948, 2.71948, 2.71948, 2.71948, 2.71948, 2.71948, 2.71948, 2.719779, 
    2.72123, 2.72338, 2.72753, 2.73283, 2.73873, 2.74568, 2.75448, 2.763431, 
    2.769981, 2.771981, 2.768532, 2.759083, 2.747234, 2.722782, 2.686927, 
    2.640671, 2.587716, 2.536159, 2.478453, 2.416997, 2.345944, 2.269993, 
    2.193393, 2.120896, 2.056701, 1.980254, 1.89381, 1.800814, 1.717217, 
    1.632569, 1.538972, 1.240918, 1.027466, 1.304034, 1.239338, 1.182093, 
    1.140747, 1.110598, 1.087649, 1.07335, 1.063, 1.06, 1.0603, 1.0648, 
    1.075251, 0.7070562, 0.1123523, 0.7520133, 1.16826, 1.18406, 0.6479936, 
    0.588347, 0.5990073, 1.02515, 1.206314, 1.214215, 1.227517, 1.248519, 
    1.283872, 1.333524, 1.391775, 1.462976, 1.551776, 1.651525, 1.749273, 
    1.849821, 1.957617, 2.058762, 2.142757, 2.216603, 2.281148, 2.330945, 
    2.366492, 2.39539, 2.420838, 2.443586,
  2.436488, 2.447338, 2.470637, 2.497086, 2.524235, 2.551733, 2.578732, 
    2.601931, 2.621481, 2.64068, 2.66063, 2.682681, 2.708233, 2.740086, 
    2.782489, 2.833243, 2.885247, 2.93515, 2.977754, 2.994205, 2.987006, 
    2.965106, 2.929854, 2.884001, 2.834249, 2.781696, 2.730494, 2.698842, 
    2.704491, 2.736042, 2.777593, 2.820844, 2.862995, 2.912498, 2.981653, 
    3.065858, 3.140014, 3.201569, 3.238573, 3.250325, 3.250775, 3.249124, 
    3.235972, 3.204968, 3.162514, 3.117261, 3.070109, 3.044907, 3.040756, 
    3.029257, 2.996407, 2.960955, 2.950502, 2.986942, 3.065578, 3.165314, 
    3.270451, 3.384687, 3.535773, 3.69951, 3.825399, 3.86415, 3.825615, 
    3.750383, 3.659699, 3.547662, 3.410276, 3.270089, 3.156753, 3.080165, 
    3.086269, 3.126417, 3.185016, 3.269166, 3.393718, 3.529521, 3.629272, 
    3.719574, 3.805826, 3.887178, 3.95528, 1.194309, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.3630489, 1.825332, 2.453452, 2.484007, 2.51871, 2.538263, 2.556065, 
    2.575268, 2.590821, 2.601023, 2.601425, 2.590225, 2.566626, 2.537025, 
    2.501474, 2.453123, 2.395865, 2.331757, 2.260998, 2.181588, 2.103428, 
    2.033469, 1.964911, 1.890503, 1.815899, 1.747699, 1.684751, 1.622053, 
    1.561956, 1.508709, 1.457212, 1.408864, 1.375365, 1.358464, 1.350314, 
    1.363314, 1.372614, 1.375463, 1.386011, 1.265714, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5865054, 1.960268, 1.975318, 
    1.996617, 2.026016, 2.057265, 2.099365, 2.156013, 2.21416, 2.268507, 
    2.323204, 2.3828, 2.436897, 2.473996, 2.507944, 2.542342, 2.573739, 
    2.599738, 2.622236, 2.640635, 2.653084, 2.660234, 2.664233, 2.666983, 
    2.668983, 2.668983, 2.668983, 2.668983, 2.668983, 2.668983, 2.668983, 
    2.668983, 2.668983, 2.668983, 2.668983, 2.669034, 2.669634, 2.670983, 
    2.673383, 2.677533, 2.682683, 2.688233, 2.695183, 2.704033, 2.713282, 
    2.719232, 2.722033, 2.720633, 2.714034, 2.703985, 2.673632, 2.623878, 
    2.562422, 2.493716, 2.42536, 2.355708, 2.287158, 2.212458, 2.133207, 
    2.058057, 1.705861, 1.460883, 1.872267, 1.800972, 1.714372, 1.634973, 
    1.556275, 1.471578, 1.184274, 0.9804724, 1.265288, 1.210891, 1.164794, 
    1.132497, 1.106499, 1.085599, 1.0728, 1.0635, 1.06015, 1.06035, 1.066801, 
    0.8083145, 0.1626375, 0.1172514, 1.178814, 1.202265, 0.7833641, 
    0.1226518, 0.6274833, 0.9352256, 1.243667, 1.249367, 1.260268, 1.278019, 
    1.303821, 1.344773, 1.399074, 1.461025, 1.533826, 1.622575, 1.719324, 
    1.811522, 1.904769, 2.001966, 2.090261, 2.162507, 2.224953, 2.27875, 
    2.319497, 2.347744, 2.370742, 2.391391, 2.41049,
  2.404491, 2.414291, 2.43464, 2.457839, 2.481738, 2.505987, 2.529336, 
    2.549985, 2.567734, 2.585484, 2.605283, 2.629884, 2.660736, 2.699988, 
    2.752041, 2.813444, 2.875997, 2.9361, 2.987553, 3.009154, 3.002754, 
    2.979554, 2.940704, 2.888852, 2.83225, 2.772848, 2.714596, 2.677744, 
    2.681994, 2.713893, 2.756594, 2.801444, 2.847494, 2.904396, 2.985249, 
    3.083303, 3.171007, 3.24506, 3.293213, 3.310615, 3.311015, 3.306514, 
    3.287312, 3.24756, 3.196008, 3.143756, 3.092106, 3.063906, 3.060757, 
    3.052358, 3.02181, 2.986811, 2.96901, 2.981304, 3.023394, 3.083182, 
    3.151471, 3.22886, 3.339448, 3.464485, 3.559676, 3.599576, 3.601538, 
    3.576753, 3.530967, 3.458579, 3.359441, 3.258402, 3.181513, 3.136822, 
    3.150422, 3.182119, 3.233266, 3.313463, 3.441563, 3.584615, 3.687266, 
    3.782218, 3.87522, 3.962821, 3.010144, 0.6033798, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.183227, 2.387108, 2.431562, 2.474714, 2.498214, 2.518914, 
    2.540413, 2.560463, 2.575964, 2.581666, 2.574168, 2.553519, 2.525721, 
    2.490922, 2.440322, 2.371521, 2.29297, 2.205317, 2.106565, 2.009212, 
    1.92321, 1.840358, 1.754708, 1.674509, 1.60946, 1.551412, 1.496665, 
    1.446518, 1.402971, 1.360124, 1.317626, 1.285126, 1.265975, 1.257675, 
    1.268674, 1.278024, 1.277723, 1.283722, 1.170573, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6027051, 2.014267, 2.028267, 
    2.047416, 2.072614, 2.101513, 2.140912, 2.19096, 2.240907, 2.286505, 
    2.332803, 2.3828, 2.428798, 2.463497, 2.492245, 2.519793, 2.544542, 
    2.56574, 2.584139, 2.599188, 2.609437, 2.615737, 2.619237, 2.621937, 
    2.623487, 2.623487, 2.623487, 2.623487, 2.623487, 2.623487, 2.623487, 
    2.623487, 2.623487, 2.623487, 2.623487, 2.623587, 2.624487, 2.625487, 
    2.627887, 2.631087, 2.635686, 2.640736, 2.646486, 2.654435, 2.661984, 
    2.666734, 2.670084, 2.670634, 2.665985, 2.657735, 2.624986, 2.567585, 
    2.48923, 2.406227, 2.326725, 1.259816, 1.112168, 1.07509, 1.034865, 
    0.9974879, 0.9530001, 1.363766, 1.784226, 1.720426, 1.635126, 1.558727, 
    1.485129, 1.408781, 1.337984, 1.280237, 1.229489, 1.183041, 1.146244, 
    1.122496, 1.102949, 1.085451, 1.074401, 1.069003, 1.071657, 1.023677, 
    0.5340723, 0.2698344, 0, 0.05956345, 0.5989325, 0.6113749, 0.1848366, 
    0.6567258, 1.285819, 1.292269, 1.298019, 1.305369, 1.31852, 1.339771, 
    1.369772, 1.415173, 1.472824, 1.537024, 1.609974, 1.697323, 1.789472, 
    1.87552, 1.960517, 2.046413, 2.12256, 2.183757, 2.235503, 2.2789, 
    2.311348, 2.333246, 2.350945, 2.366993, 2.382742,
  2.378494, 2.386894, 2.404142, 2.423942, 2.444491, 2.46539, 2.485389, 
    2.503388, 2.518738, 2.534437, 2.553937, 2.580937, 2.616739, 2.66269, 
    2.723593, 2.794845, 2.866747, 2.93585, 2.995802, 3.022253, 3.016754, 
    2.992003, 2.950603, 2.894652, 2.833001, 2.767849, 2.703147, 2.660996, 
    2.662495, 2.692344, 2.733593, 2.777593, 2.825243, 2.886544, 2.975845, 
    3.084648, 3.183751, 3.268504, 3.325856, 3.347257, 3.347256, 3.339906, 
    3.315255, 3.269053, 3.212502, 3.157702, 3.106153, 3.079654, 3.080505, 
    3.077857, 3.054209, 3.024711, 3.006262, 3.004609, 3.018703, 3.045896, 
    3.082489, 3.127131, 3.201372, 3.289863, 3.358957, 3.400407, 3.434165, 
    3.451974, 3.446734, 3.412093, 3.348853, 3.281861, 3.235518, 3.213672, 
    3.225471, 3.244117, 3.283513, 3.35406, 3.478908, 3.623908, 3.728258, 
    3.826659, 3.925761, 3.405883, 1.010958, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.106729, 2.24286, 2.299662, 2.348664, 2.373465, 2.392664, 2.412114, 
    2.433364, 2.452965, 2.463466, 2.461668, 2.44687, 2.424471, 2.393673, 
    2.344623, 2.274423, 2.191972, 2.09727, 1.991719, 1.889669, 1.80047, 
    1.71652, 1.633372, 1.558374, 1.498976, 1.447628, 1.40218, 1.361332, 
    1.325234, 1.289135, 1.251235, 1.218335, 1.198235, 1.188635, 1.195333, 
    1.200981, 1.19623, 1.196378, 0.621029, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6190543, 2.068264, 2.081064, 2.097763, 
    2.118562, 2.144762, 2.181111, 2.224009, 2.266607, 2.305006, 2.343754, 
    2.385351, 2.424249, 2.454998, 2.478747, 2.499895, 2.519194, 2.535493, 
    2.550041, 2.562291, 2.570991, 2.57599, 2.57924, 2.58189, 2.58299, 
    2.58299, 2.58299, 2.58299, 2.58299, 2.58299, 2.58299, 2.58299, 2.58299, 
    2.58299, 2.58299, 2.58304, 2.58364, 2.58474, 2.58689, 2.58954, 2.592889, 
    2.596739, 2.600938, 2.606888, 2.612037, 2.615487, 2.618937, 2.620587, 
    2.616937, 2.610488, 2.574285, 2.50683, 2.409575, 2.313721, 1.476166, 
    0.1131893, 0.2952081, 0.4920135, 0, 0, 0.530692, 1.749975, 1.701577, 
    1.641779, 1.55853, 1.486481, 1.418283, 1.349085, 1.288888, 1.23974, 
    1.196192, 1.157544, 1.128696, 1.113999, 1.103851, 1.095355, 0.9254693, 
    0.8188634, 1.112866, 1.021769, 0, 0, 0, 0, 0, 0, 0, 0.6631692, 1.355721, 
    1.36027, 1.36587, 1.37397, 1.38912, 1.413021, 1.445672, 1.494523, 
    1.553973, 1.618522, 1.690422, 1.774171, 1.860319, 1.939267, 2.015064, 
    2.089911, 2.154859, 2.205506, 2.247403, 2.281501, 2.306349, 2.322748, 
    2.335997, 2.348046, 2.360495,
  2.357996, 2.364996, 2.379195, 2.396044, 2.412993, 2.430293, 2.447342, 
    2.462291, 2.475241, 2.48889, 2.50759, 2.53634, 2.576241, 2.628042, 
    2.696694, 2.776796, 2.856747, 2.933549, 3.001051, 3.031852, 3.027752, 
    3.002652, 2.959602, 2.901252, 2.835751, 2.7657, 2.694748, 2.647297, 
    2.643996, 2.669394, 2.706243, 2.747643, 2.794492, 2.857792, 2.952543, 
    3.070195, 3.179497, 3.273399, 3.33805, 3.362251, 3.361751, 3.352501, 
    3.3237, 3.272799, 3.213999, 3.159049, 3.1098, 3.088001, 3.094753, 
    3.098704, 3.083606, 3.062458, 3.04901, 3.04326, 3.041508, 3.047354, 
    3.06125, 3.080745, 3.125289, 3.183733, 3.232229, 3.274429, 3.329732, 
    3.378438, 3.405495, 3.401751, 3.368607, 3.328662, 3.305267, 3.297269, 
    3.302068, 3.304363, 3.328759, 3.385355, 3.500303, 3.641451, 3.744751, 
    3.84385, 3.946801, 2.816801, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.028732, 
    2.092115, 2.155516, 2.208116, 2.234217, 2.251916, 2.268816, 2.290766, 
    2.314216, 2.329967, 2.334219, 2.32572, 2.308971, 2.283123, 2.236974, 
    2.167124, 2.082724, 1.985024, 1.877924, 1.777125, 1.690476, 1.611177, 
    1.534979, 1.468481, 1.417483, 1.374536, 1.337137, 1.303189, 1.27224, 
    1.240591, 1.206042, 1.173842, 1.152742, 1.139691, 1.139689, 1.137437, 
    1.127736, 1.120834, 0.1119484, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.6340532, 2.118261, 2.130361, 2.14466, 2.161809, 
    2.186009, 2.221059, 2.259408, 2.295457, 2.327255, 2.359054, 2.392952, 
    2.425401, 2.451, 2.469249, 2.483947, 2.497495, 2.509244, 2.520294, 
    2.529893, 2.537193, 2.541243, 2.543893, 2.545942, 2.547142, 2.547492, 
    2.547493, 2.547493, 2.547492, 2.547492, 2.547493, 2.547493, 2.547492, 
    2.547492, 2.547493, 2.547493, 2.547642, 2.548492, 2.550392, 2.552492, 
    2.554442, 2.556491, 2.558891, 2.56239, 2.564939, 2.567239, 2.570939, 
    2.572639, 2.569589, 2.560488, 2.511133, 2.423229, 1.978924, 1.129232, 
    1.039371, 0.9762976, 1.232244, 1.392688, 0.8691984, 0.8338823, 1.066602, 
    1.647725, 1.604375, 1.550426, 1.265783, 1.061571, 1.349333, 1.290186, 
    1.241439, 1.202491, 1.168794, 1.139547, 1.12025, 1.115752, 1.116505, 
    1.120458, 0.9644369, 0.8713909, 1.178566, 0.5892358, 0, 0, 0, 0, 0, 0, 
    0.5259411, 0.8164104, 1.43847, 1.44077, 1.44622, 1.45452, 1.47057, 
    1.49627, 1.530721, 1.581421, 1.641171, 1.70427, 1.773319, 1.852018, 
    1.930866, 2.001514, 2.067962, 2.131909, 2.185957, 2.227005, 2.260003, 
    2.286101, 2.3045, 2.315999, 2.325398, 2.334497, 2.343897,
  2.343498, 2.348747, 2.360147, 2.373796, 2.387246, 2.401045, 2.414845, 
    2.426694, 2.437493, 2.449343, 2.466743, 2.496593, 2.539994, 2.596344, 
    2.671646, 2.758597, 2.845748, 2.928699, 3.00195, 3.036951, 3.035251, 
    3.011852, 2.969052, 2.909652, 2.841001, 2.7664, 2.689749, 2.636298, 
    2.625997, 2.643345, 2.672943, 2.709742, 2.753991, 2.818191, 2.916742, 
    3.041293, 3.158994, 3.261296, 3.332798, 3.360048, 3.359998, 3.349448, 
    3.317197, 3.262847, 3.202997, 3.149097, 3.103398, 3.087149, 3.1005, 
    3.111402, 3.105703, 3.096106, 3.093009, 3.09096, 3.08426, 3.079559, 
    3.079257, 3.081054, 3.10225, 3.136496, 3.167493, 3.207592, 3.276194, 
    3.346297, 3.397251, 3.417055, 3.406909, 3.387312, 3.380515, 3.379666, 
    3.374163, 3.35801, 3.364506, 3.402852, 3.503199, 3.636097, 3.734495, 
    3.829744, 3.931793, 2.806295, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.731179, 
    0.8599781, 1.395405, 1.942722, 2.007872, 2.060722, 2.088472, 2.103972, 
    2.117571, 2.139871, 2.166222, 2.186622, 2.197174, 2.194725, 2.183476, 
    2.162426, 2.120477, 2.053778, 1.969979, 1.873579, 1.76853, 1.671181, 
    1.589232, 1.516733, 1.449585, 1.393387, 1.351989, 1.318291, 1.288092, 
    1.260343, 1.234994, 1.208245, 1.177546, 1.147546, 1.123996, 1.106395, 
    1.098944, 1.087392, 1.072241, 1.057089, 0.1053488, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3204277, 1.6183, 2.175508, 
    2.187658, 2.202358, 2.226508, 2.261508, 2.298158, 2.329157, 2.354256, 
    2.379704, 2.406954, 2.433202, 2.453501, 2.46575, 2.472948, 2.479297, 
    2.486996, 2.495045, 2.502395, 2.507895, 2.510995, 2.513395, 2.514995, 
    2.516145, 2.516495, 2.516495, 2.516495, 2.516495, 2.516495, 2.516495, 
    2.516495, 2.516495, 2.516495, 2.516495, 2.516495, 2.516645, 2.517245, 
    2.518544, 2.519494, 2.519994, 2.519993, 2.519993, 2.520842, 2.520492, 
    2.521742, 2.525092, 2.526642, 2.521641, 2.500487, 2.432434, 1.306141, 
    0.7976953, 0, 1.35903, 1.875321, 1.796921, 1.728472, 1.672275, 1.605677, 
    1.560078, 1.537479, 1.49738, 1.449481, 0.9796381, 0.6547434, 1.280788, 
    0.7507058, 1.197292, 1.170245, 1.148097, 1.130549, 1.122952, 1.129254, 
    1.141156, 1.157558, 1.181961, 0.8963923, 0.6069682, 0.06117664, 0, 0, 0, 
    0, 0, 0.4021535, 1.326305, 1.539118, 1.529168, 1.530518, 1.535718, 
    1.543518, 1.559367, 1.586017, 1.622468, 1.673818, 1.732067, 1.792017, 
    1.856516, 1.928414, 1.998763, 2.060511, 2.117359, 2.170907, 2.214855, 
    2.247504, 2.272802, 2.292201, 2.305601, 2.31325, 2.319499, 2.325999, 
    2.332798,
  2.334499, 2.337999, 2.346549, 2.356548, 2.366997, 2.377447, 2.387896, 
    2.397096, 2.405495, 2.415295, 2.431345, 2.461695, 2.508245, 2.568446, 
    2.648647, 2.740947, 2.833248, 2.920649, 2.998399, 3.0375, 3.04, 3.019751, 
    2.979402, 2.920352, 2.849751, 2.771101, 2.6891, 2.628499, 2.609498, 
    2.615696, 2.634094, 2.662542, 2.702991, 2.766891, 2.868891, 2.999443, 
    3.123994, 3.233845, 3.312596, 3.344147, 3.345747, 3.334397, 3.299196, 
    3.242046, 3.181496, 3.128996, 3.087397, 3.075997, 3.095498, 3.11395, 
    3.119602, 3.126955, 3.141008, 3.15086, 3.149262, 3.142362, 3.135262, 
    3.12466, 3.128058, 3.141555, 3.156002, 3.189701, 3.263601, 3.346852, 
    3.414754, 3.451856, 3.459809, 3.456311, 3.460012, 3.460212, 3.44126, 
    3.404557, 3.390754, 3.4088, 3.491097, 3.611695, 3.700493, 3.788242, 
    3.884841, 2.770943, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4989022, 1.482656, 
    1.658381, 1.73673, 1.80353, 1.866279, 1.916229, 1.944478, 1.958028, 
    1.968228, 1.989827, 2.018478, 2.042228, 2.058579, 2.06158, 2.05548, 
    2.038881, 2.001532, 1.939983, 1.860484, 1.767684, 1.667035, 1.574686, 
    1.499237, 1.434288, 1.37714, 1.332092, 1.300743, 1.275695, 1.253146, 
    1.232697, 1.212998, 1.191899, 1.165049, 1.1374, 1.11175, 1.089599, 
    1.075448, 1.057197, 1.036497, 0.6660396, 0.05113439, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.105253, 2.217506, 2.228706, 
    2.243006, 2.268257, 2.303657, 2.339456, 2.366956, 2.386505, 2.405704, 
    2.427003, 2.447703, 2.461751, 2.467051, 2.466049, 2.465448, 2.468997, 
    2.474297, 2.479447, 2.483597, 2.485747, 2.487546, 2.488996, 2.489996, 
    2.489996, 2.489996, 2.489996, 2.489996, 2.489996, 2.489996, 2.489996, 
    2.489996, 2.489996, 2.489996, 2.489996, 2.490296, 2.490996, 2.491346, 
    2.490946, 2.489396, 2.486995, 2.484595, 2.481994, 2.479994, 2.480744, 
    2.482894, 2.483694, 2.474143, 2.43424, 1.550594, 0.1181639, 0, 0, 
    1.249132, 1.714724, 1.636225, 1.575225, 1.534178, 0.8446365, 0.7513707, 
    0.7407739, 1.188122, 1.352835, 0.919091, 0.6222454, 0.806515, 0.1785306, 
    1.162295, 1.147247, 0.740078, 1.074383, 1.135303, 0.8579144, 0.998552, 
    1.140989, 0.6048654, 0.3071562, 0, 0, 0, 0, 0, 0, 0.2559781, 1.253137, 
    1.644963, 1.630714, 1.621664, 1.622764, 1.627014, 1.634164, 1.651614, 
    1.680765, 1.718665, 1.768715, 1.823514, 1.878513, 1.937012, 2.000411, 
    2.061509, 2.114258, 2.161406, 2.205405, 2.240403, 2.265753, 2.284802, 
    2.299201, 2.308501, 2.31375, 2.3176, 2.321549, 2.326199,
  2.327999, 2.330799, 2.336599, 2.343649, 2.350748, 2.358198, 2.365897, 
    2.372497, 2.378747, 2.386397, 2.401047, 2.432797, 2.481997, 2.545548, 
    2.628748, 2.724548, 2.819248, 2.909049, 2.989599, 3.033849, 3.0415, 
    3.026051, 2.990301, 2.934002, 2.863002, 2.781852, 2.694501, 2.62625, 
    2.596499, 2.588447, 2.590895, 2.607593, 2.642242, 2.704892, 2.810093, 
    2.946944, 3.077744, 3.194195, 3.281446, 3.319547, 3.323747, 3.311847, 
    3.274147, 3.214097, 3.152497, 3.100696, 3.061446, 3.053547, 3.077997, 
    3.103848, 3.1261, 3.158554, 3.199507, 3.232061, 3.245113, 3.243164, 
    3.235014, 3.216363, 3.205412, 3.196809, 3.192007, 3.210654, 3.280103, 
    3.368903, 3.448255, 3.499256, 3.523158, 3.533059, 3.54276, 3.539509, 
    3.506207, 3.447005, 3.410752, 3.407049, 3.467947, 3.571295, 3.644742, 
    3.721341, 3.80929, 2.713192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5216193, 0.5957862, 
    0.6246428, 1.166489, 1.462091, 1.548139, 1.618487, 1.679737, 1.736686, 
    1.780035, 1.805234, 1.817134, 1.824784, 1.844984, 1.874734, 1.900984, 
    1.921185, 1.929135, 1.927485, 1.915686, 1.883137, 1.827787, 1.755488, 
    1.669539, 1.57599, 1.490641, 1.422992, 1.365843, 1.319144, 1.285146, 
    1.263496, 1.246397, 1.232098, 1.219349, 1.20625, 1.190701, 1.168851, 
    1.143402, 1.117002, 1.091651, 1.072601, 1.05065, 0.7721921, 0.1522152, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.123752, 
    2.254854, 2.266854, 2.283455, 2.309755, 2.345505, 2.380755, 2.404904, 
    2.420004, 2.434403, 2.450052, 2.464902, 2.471751, 2.46985, 2.461199, 
    2.454899, 2.454749, 2.457748, 2.460998, 2.463948, 2.465498, 2.466698, 
    2.467548, 2.468498, 2.468498, 2.468498, 2.468948, 2.468998, 2.468998, 
    2.468998, 2.468998, 2.468998, 2.468998, 2.468998, 2.468998, 2.469148, 
    2.469498, 2.468798, 2.466847, 2.462797, 2.457997, 2.452496, 2.447146, 
    2.444196, 2.441746, 2.440345, 2.438895, 2.424044, 2.362991, 0.6992971, 0, 
    0, 0, 0.5955638, 0.8838292, 1.456928, 1.079905, 0.7305329, 0.07263339, 0, 
    0, 0.4657435, 1.202727, 0.8665947, 0.3034306, 0.1820583, 0.5671033, 
    1.136648, 1.132999, 0.7377908, 1.083465, 1.156303, 0.8903215, 1.041796, 
    0.6141881, 0, 0.3613326, 0.2167996, 0, 0, 0.4328489, 0.8811014, 
    0.9003058, 1.159598, 1.74751, 1.736011, 1.726111, 1.719562, 1.718511, 
    1.720961, 1.728912, 1.749912, 1.780262, 1.816911, 1.863061, 1.91201, 
    1.960509, 2.011458, 2.065907, 2.117756, 2.161505, 2.200004, 2.234953, 
    2.261752, 2.281002, 2.295351, 2.305301, 2.31155, 2.315, 2.31705, 2.3195, 
    2.3224,
  2.3235, 2.3256, 2.32915, 2.333899, 2.337999, 2.342799, 2.347949, 2.352399, 
    2.356749, 2.362849, 2.376348, 2.410398, 2.461999, 2.527949, 2.613249, 
    2.710549, 2.804999, 2.894549, 2.975999, 3.025699, 3.038749, 3.0287, 
    2.9988, 2.947901, 2.878501, 2.796151, 2.705351, 2.6299, 2.586999, 
    2.561948, 2.545646, 2.547395, 2.573494, 2.634244, 2.742744, 2.885445, 
    3.022496, 3.146946, 3.243447, 3.289898, 3.298248, 3.286648, 3.246048, 
    3.181848, 3.117747, 3.064847, 3.025597, 3.019647, 3.047247, 3.081498, 
    3.1277, 3.195353, 3.273256, 3.338559, 3.376361, 3.386713, 3.380763, 
    3.358713, 3.333911, 3.297909, 3.264757, 3.257504, 3.311253, 3.396302, 
    3.482252, 3.544403, 3.581504, 3.602355, 3.616755, 3.611205, 3.564604, 
    3.482502, 3.422251, 3.394548, 3.432597, 3.515345, 3.570494, 3.632293, 
    3.704491, 2.632343, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2812929, 0.5646861, 1.095358, 1.184549, 
    1.234748, 1.308746, 1.383794, 1.453793, 1.513242, 1.565691, 1.614641, 
    1.65004, 1.66974, 1.67964, 1.68724, 1.70714, 1.73799, 1.76674, 1.79079, 
    1.803841, 1.806991, 1.799642, 1.772692, 1.724393, 1.660743, 1.583444, 
    1.498445, 1.421095, 1.360996, 1.311396, 1.274697, 1.251398, 1.238499, 
    1.229099, 1.223, 1.2178, 1.211751, 1.202201, 1.186552, 1.163852, 
    1.138502, 1.112452, 1.091602, 0.9074779, 0.2594604, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5659137, 1.939049, 
    2.297502, 2.319852, 2.348753, 2.385353, 2.419553, 2.439703, 2.450252, 
    2.459752, 2.470851, 2.479101, 2.4785, 2.4695, 2.454749, 2.443799, 
    2.441749, 2.444249, 2.447349, 2.448799, 2.449749, 2.450699, 2.451099, 
    2.451999, 2.451999, 2.452349, 2.452949, 2.453149, 2.453499, 2.453499, 
    2.453499, 2.453499, 2.453499, 2.453499, 2.453049, 2.452999, 2.452749, 
    2.451099, 2.446849, 2.440198, 2.432498, 2.423048, 2.415648, 2.411098, 
    2.404497, 2.398947, 2.394597, 2.373346, 1.73741, 0.3431477, 0, 0, 0, 
    0.4767726, 0.7206889, 1.309892, 0.6419965, 0, 0, 0, 0, 0, 1.073796, 
    0.8245971, 0, 0, 0.5651308, 1.121349, 1.12875, 1.140701, 1.158052, 
    1.185653, 1.225503, 0.8113344, 0.06259046, 0.2203836, 1.111809, 1.004337, 
    0.8278261, 0.8638316, 1.32282, 1.791955, 1.828204, 1.835804, 1.826255, 
    1.819856, 1.816556, 1.814557, 1.814007, 1.817307, 1.828608, 1.849807, 
    1.877507, 1.910807, 1.951506, 1.993706, 2.035005, 2.078055, 2.123404, 
    2.166153, 2.201503, 2.231952, 2.259002, 2.278901, 2.293251, 2.303401, 
    2.309901, 2.3141, 2.316, 2.31685, 2.31845, 2.3201,
  2.3205, 2.32155, 2.3236, 2.32645, 2.32875, 2.331399, 2.33445, 2.33695, 
    2.33975, 2.34465, 2.357149, 2.393649, 2.44775, 2.5155, 2.6016, 2.69715, 
    2.786999, 2.872649, 2.952849, 3.005599, 3.022749, 3.018199, 2.9949, 
    2.9514, 2.88675, 2.8067, 2.7156, 2.6347, 2.5785, 2.535949, 2.500648, 
    2.484298, 2.498747, 2.556947, 2.668297, 2.809647, 2.946246, 3.072696, 
    3.177397, 3.232697, 3.246997, 3.237147, 3.193497, 3.126297, 3.064997, 
    3.016648, 2.983048, 2.977148, 3.005998, 3.050249, 3.1267, 3.240102, 
    3.362004, 3.466055, 3.536357, 3.564007, 3.563257, 3.541157, 3.501707, 
    3.431856, 3.358004, 3.313552, 3.340551, 3.41305, 3.5, 3.569451, 3.616501, 
    3.646701, 3.665001, 3.659151, 3.603001, 3.50085, 3.416249, 3.365248, 
    3.380697, 3.443297, 3.483246, 3.530196, 3.582595, 2.539246, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.05635429, 0.5630928, 0.8430213, 1.1275, 1.1446, 1.17235, 1.209999, 
    1.262348, 1.318948, 1.373797, 1.421747, 1.464447, 1.504196, 1.531246, 
    1.544496, 1.552495, 1.560246, 1.580145, 1.611495, 1.642495, 1.670796, 
    1.688696, 1.696746, 1.693596, 1.671946, 1.632147, 1.577497, 1.509547, 
    1.434348, 1.365248, 1.311998, 1.269949, 1.242749, 1.229499, 1.2245, 
    1.22195, 1.22255, 1.22445, 1.225001, 1.221701, 1.211901, 1.193251, 
    1.170751, 1.146852, 1.127051, 0.7766511, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8031889, 2.205142, 2.351501, 
    2.385001, 2.422701, 2.454451, 2.469701, 2.473751, 2.477101, 2.483351, 
    2.4863, 2.47875, 2.46315, 2.443399, 2.429999, 2.427999, 2.4323, 2.437199, 
    2.43865, 2.439, 2.43935, 2.4396, 2.4405, 2.4405, 2.4412, 2.44155, 
    2.44215, 2.44275, 2.443, 2.443, 2.443, 2.443, 2.44265, 2.44205, 2.44185, 
    2.44075, 2.4379, 2.431299, 2.421299, 2.410499, 2.398299, 2.388299, 
    2.377449, 2.365499, 2.355998, 2.348198, 2.318598, 1.130248, 0, 0, 0, 
    0.3320253, 1.110612, 1.254046, 1.044234, 0.3094764, 0, 0, 0, 0, 0, 
    1.028899, 0.9590117, 0.551792, 0.5505419, 0.6080378, 1.1174, 1.13475, 
    1.156651, 0.7050146, 1.223552, 1.273752, 0.8710874, 0.7166546, 0.9753407, 
    1.544003, 1.618153, 1.696753, 1.764553, 1.813753, 1.852452, 1.880102, 
    1.887552, 1.886252, 1.886702, 1.889952, 1.893103, 1.896753, 1.904253, 
    1.919753, 1.940853, 1.965753, 1.994853, 2.029953, 2.065552, 2.100002, 
    2.135502, 2.172402, 2.206551, 2.234001, 2.257251, 2.27755, 2.29185, 
    2.30225, 2.3088, 2.31335, 2.3158, 2.31675, 2.317, 2.31755, 2.31865,
  2.3185, 2.31885, 2.3196, 2.32115, 2.32225, 2.32335, 2.3249, 2.3258, 2.3275, 
    2.33095, 2.3438, 2.38305, 2.44, 2.5085, 2.5928, 2.68205, 2.76275, 2.8396, 
    2.91505, 2.9666, 2.985, 2.9852, 2.9696, 2.9363, 2.88, 2.8062, 2.7191, 
    2.63445, 2.56725, 2.5088, 2.4546, 2.4191, 2.41975, 2.47325, 2.58185, 
    2.71535, 2.8455, 2.9669, 3.07425, 3.138, 3.15875, 3.15185, 3.10825, 
    3.04475, 2.99225, 2.95445, 2.93285, 2.9305, 2.9595, 3.01335, 3.1256, 
    3.29025, 3.45975, 3.6044, 3.7065, 3.75195, 3.75675, 3.7353, 3.68085, 
    3.5695, 3.449, 3.36, 3.35095, 3.40285, 3.48275, 3.55565, 3.6109, 3.6479, 
    3.66925, 3.66155, 3.5986, 3.48285, 3.3805, 3.3128, 3.3074, 3.3521, 
    3.38075, 3.415, 3.45205, 2.95945, 0.8625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.28475, 0.5681, 0.62185, 1.1261, 
    1.12325, 1.12495, 1.13905, 1.16295, 1.19175, 1.22825, 1.2696, 1.31145, 
    1.3485, 1.38205, 1.4127, 1.43095, 1.43775, 1.44245, 1.4483, 1.4667, 
    1.49675, 1.5282, 1.55885, 1.58025, 1.59225, 1.59305, 1.57725, 1.54705, 
    1.503, 1.4467, 1.38275, 1.32305, 1.27675, 1.242, 1.2228, 1.21765, 
    1.21925, 1.2226, 1.22905, 1.2368, 1.243, 1.245, 1.2399, 1.2258, 1.20775, 
    1.189, 1.172, 0.80885, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.1694, 2.38345, 2.422, 2.45985, 2.48685, 
    2.4949, 2.49175, 2.48825, 2.48955, 2.48885, 2.47425, 2.45335, 2.4297, 
    2.4163, 2.416, 2.4227, 2.43015, 2.433, 2.433, 2.433, 2.43305, 2.43365, 
    2.434, 2.4347, 2.43555, 2.4365, 2.437, 2.43785, 2.438, 2.438, 2.43775, 
    2.4368, 2.43645, 2.4357, 2.43375, 2.429, 2.41975, 2.4061, 2.392, 2.37685, 
    2.3609, 2.33865, 2.317, 2.302, 2.28685, 1.9218, 0.55525, 0, 0, 0.19785, 
    0.96525, 1.21675, 1.16485, 0.8085, 0, 0, 0, 0, 0, 0, 0.9958, 1.10035, 
    1.096, 0.714, 1.05075, 1.123, 1.14875, 1.17975, 0.73815, 1.2676, 1.32825, 
    1.39625, 1.4722, 1.55185, 1.63, 1.7036, 1.77795, 1.837, 1.8775, 1.90855, 
    1.9274, 1.93635, 1.9415, 1.9477, 1.95595, 1.96365, 1.97125, 1.98305, 
    2.0007, 2.0219, 2.044, 2.06855, 2.09795, 2.1274, 2.15525, 2.1838, 2.2129, 
    2.23925, 2.25975, 2.2771, 2.29125, 2.30145, 2.30825, 2.3126, 2.3154, 
    2.31665, 2.317, 2.317, 2.31705, 2.3175,
  2.313, 2.31265, 2.312551, 2.31285, 2.312751, 2.313, 2.313451, 2.313801, 
    2.315001, 2.31725, 2.3319, 2.37495, 2.4345, 2.5021, 2.582, 2.662351, 
    2.731751, 2.796602, 2.862752, 2.908702, 2.925253, 2.928503, 2.921352, 
    2.900452, 2.854501, 2.788251, 2.708151, 2.623451, 2.548501, 2.477051, 
    2.405552, 2.351903, 2.337503, 2.381904, 2.482404, 2.608204, 2.732754, 
    2.849605, 2.954255, 3.022305, 3.050004, 3.047954, 3.009454, 2.953854, 
    2.909753, 2.881403, 2.871202, 2.877252, 2.908002, 2.967802, 3.117651, 
    3.333899, 3.549997, 3.733195, 3.862844, 3.923444, 3.932494, 3.911444, 
    3.845144, 3.688196, 3.519498, 3.386499, 3.339401, 3.367752, 3.437002, 
    3.509402, 3.568852, 3.609502, 3.632502, 3.622602, 3.552852, 3.426353, 
    3.312253, 3.232804, 3.211504, 3.242304, 3.263255, 3.287355, 3.312905, 
    3.352956, 2.518939, 0.498862, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.5709999, 1.1385, 1.1325, 1.12695, 1.1235, 
    1.1239, 1.1335, 1.151601, 1.172751, 1.198101, 1.227652, 1.258552, 
    1.286502, 1.312003, 1.334253, 1.345253, 1.347503, 1.348703, 1.351253, 
    1.365954, 1.393504, 1.423854, 1.455004, 1.479004, 1.494254, 1.498653, 
    1.489903, 1.469903, 1.438002, 1.394552, 1.342601, 1.292501, 1.253251, 
    1.224501, 1.2117, 1.212, 1.21875, 1.2269, 1.23845, 1.25035, 1.260749, 
    1.267299, 1.266899, 1.257499, 1.245249, 1.234048, 1.221998, 1.028635, 
    0.3044768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.1195091, 1.568413, 2.456499, 2.492749, 2.512749, 2.5121, 
    2.502, 2.49155, 2.4891, 2.4858, 2.46675, 2.4421, 2.417351, 2.40555, 
    2.408, 2.4171, 2.4279, 2.43135, 2.431, 2.431, 2.43105, 2.43165, 2.43225, 
    2.4332, 2.43495, 2.43615, 2.43675, 2.4377, 2.438, 2.438, 2.4375, 2.4363, 
    2.43545, 2.43405, 2.43125, 2.4246, 2.4122, 2.3944, 2.375751, 2.355001, 
    2.329301, 2.295902, 2.266752, 2.244952, 2.107161, 0.7781093, 0, 0, 0, 
    0.3820511, 1.225503, 1.136552, 1.108201, 0.7749009, 0, 0, 0, 0, 0, 0, 
    0.5439333, 1.079451, 1.083, 0.7085209, 1.053646, 1.1333, 1.166499, 
    1.205999, 1.254349, 1.316098, 1.387248, 1.463648, 1.545148, 1.628297, 
    1.706747, 1.777498, 1.845248, 1.894448, 1.924999, 1.951699, 1.970798, 
    1.984698, 1.994748, 2.005498, 2.018448, 2.030698, 2.042497, 2.056747, 
    2.074097, 2.092998, 2.111498, 2.132098, 2.155948, 2.179398, 2.201248, 
    2.223449, 2.245399, 2.264899, 2.279749, 2.2918, 2.3009, 2.3077, 2.3115, 
    2.3139, 2.31495, 2.31485, 2.31425, 2.31365, 2.31345, 2.31285,
  2.298501, 2.297801, 2.296952, 2.294802, 2.290002, 2.285553, 2.281004, 
    2.276905, 2.275505, 2.277255, 2.293555, 2.340205, 2.403004, 2.473504, 
    2.552304, 2.627703, 2.689254, 2.743104, 2.797505, 2.835356, 2.848256, 
    2.853806, 2.854156, 2.844355, 2.807004, 2.748654, 2.676503, 2.596003, 
    2.517003, 2.436254, 2.351404, 2.282156, 2.254506, 2.288457, 2.378508, 
    2.495709, 2.615009, 2.727659, 2.82846, 2.89681, 2.930509, 2.934459, 
    2.904908, 2.858457, 2.822507, 2.800906, 2.796806, 2.809156, 2.842006, 
    2.903556, 3.085704, 3.349001, 3.606747, 3.822495, 3.976744, 4.051742, 
    4.066242, 4.046092, 3.973292, 3.775645, 3.560748, 3.387151, 3.303654, 
    3.306406, 3.362757, 3.431358, 3.491358, 3.533158, 3.557008, 3.546558, 
    3.470208, 3.339008, 3.219508, 3.132908, 3.101709, 3.121859, 3.13976, 
    3.15696, 3.17746, 3.21466, 3.250259, 0.9793528, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1738235, 0.8637056, 1.14345, 
    1.13605, 1.12965, 1.12525, 1.124, 1.12835, 1.138801, 1.152501, 1.169702, 
    1.190553, 1.212103, 1.232504, 1.251154, 1.266355, 1.272005, 1.271505, 
    1.270305, 1.269656, 1.279906, 1.303756, 1.331807, 1.362607, 1.388106, 
    1.405756, 1.413606, 1.411206, 1.401755, 1.381754, 1.350553, 1.309952, 
    1.268652, 1.235751, 1.211951, 1.204151, 1.20905, 1.22, 1.23165, 1.24595, 
    1.260299, 1.273249, 1.283749, 1.288849, 1.284848, 1.279248, 1.275047, 
    1.268547, 1.255296, 0.6227479, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3681561, 1.866842, 2.521548, 
    2.533199, 2.523649, 2.5065, 2.4911, 2.48515, 2.479501, 2.45875, 2.43275, 
    2.40935, 2.39965, 2.4045, 2.41565, 2.4287, 2.4322, 2.4315, 2.4315, 
    2.43155, 2.43215, 2.43325, 2.4347, 2.4365, 2.4383, 2.43925, 2.43985, 
    2.440449, 2.4405, 2.44, 2.4388, 2.43745, 2.43525, 2.431, 2.4222, 2.40655, 
    2.383851, 2.360251, 2.332452, 2.297553, 2.254003, 2.217504, 2.181355, 
    1.088183, 0, 0.4239354, 0.2543612, 0, 0.3591014, 1.159004, 1.094752, 
    1.082101, 0.9178264, 0.5359184, 0.1607755, 0, 0, 0, 0, 0.10675, 1.069, 
    1.076, 1.09035, 1.11295, 1.143799, 1.183249, 1.230398, 1.288998, 
    1.362347, 1.439997, 1.517997, 1.602696, 1.684996, 1.760747, 1.828097, 
    1.888198, 1.928898, 1.956248, 1.984648, 2.008347, 2.027247, 2.041497, 
    2.056796, 2.074446, 2.091246, 2.106246, 2.121245, 2.137095, 2.153596, 
    2.168746, 2.185296, 2.204347, 2.222047, 2.238497, 2.254948, 2.270448, 
    2.284199, 2.293999, 2.301699, 2.30695, 2.31045, 2.31175, 2.31165, 
    2.31045, 2.308551, 2.306501, 2.304101, 2.302451, 2.300551,
  2.274503, 2.273103, 2.270154, 2.261705, 2.248256, 2.235157, 2.221508, 
    2.208609, 2.20126, 2.20056, 2.21816, 2.268559, 2.337759, 2.415008, 
    2.497507, 2.571957, 2.629758, 2.676708, 2.720659, 2.749861, 2.758761, 
    2.765561, 2.771311, 2.76886, 2.738009, 2.687908, 2.624857, 2.550456, 
    2.471506, 2.386256, 2.292307, 2.212258, 2.176008, 2.20136, 2.279611, 
    2.386262, 2.498013, 2.604164, 2.698865, 2.766565, 2.804015, 2.814164, 
    2.794963, 2.759712, 2.732011, 2.71551, 2.71396, 2.729309, 2.762009, 
    2.82236, 3.01846, 3.314707, 3.604754, 3.844752, 4.01925, 4.107199, 
    4.127998, 4.109948, 4.033948, 3.813599, 3.562252, 3.353956, 3.23561, 
    3.209813, 3.249515, 3.310916, 3.371315, 3.414615, 3.440265, 3.430565, 
    3.351965, 3.225564, 3.109763, 3.024763, 2.989763, 3.003113, 3.022013, 
    3.037413, 3.060262, 3.099711, 3.141511, 2.051151, 1.419325, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3487498, 1.158249, 
    1.149099, 1.140599, 1.1335, 1.12825, 1.1251, 1.12525, 1.129801, 1.137501, 
    1.148002, 1.161503, 1.175454, 1.189004, 1.201155, 1.210106, 1.212706, 
    1.210756, 1.207756, 1.204606, 1.211207, 1.230257, 1.254558, 1.283758, 
    1.309758, 1.328258, 1.338708, 1.341957, 1.341806, 1.332505, 1.312704, 
    1.282853, 1.250152, 1.222751, 1.203051, 1.1983, 1.2076, 1.22225, 
    1.236199, 1.251949, 1.267449, 1.281249, 1.294699, 1.305248, 1.306648, 
    1.307247, 1.306797, 1.304247, 1.298196, 0.6469976, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6311443, 
    1.26859, 2.427977, 2.538498, 2.516248, 2.498199, 2.489149, 2.480249, 
    2.45725, 2.43145, 2.409799, 2.401599, 2.407499, 2.418299, 2.43025, 
    2.4332, 2.4325, 2.43215, 2.43245, 2.43295, 2.43475, 2.43655, 2.4381, 
    2.44045, 2.442, 2.44285, 2.4435, 2.44385, 2.443, 2.4418, 2.43995, 2.4371, 
    2.4315, 2.4203, 2.401, 2.373801, 2.345002, 2.310602, 2.267703, 2.217803, 
    2.170505, 2.114107, 0.2100007, 0, 0.4240969, 0.2544582, 0, 0.3433515, 
    1.117254, 1.077401, 1.0711, 1.07085, 1.070001, 0.6938648, 0.4787905, 0, 
    0, 0, 0.530853, 1.06715, 1.0745, 1.0913, 1.118449, 1.153999, 1.198998, 
    1.253447, 1.320946, 1.401746, 1.481996, 1.559096, 1.644746, 1.724246, 
    1.796247, 1.860197, 1.914598, 1.954147, 1.984747, 2.015347, 2.042396, 
    2.065646, 2.083995, 2.102345, 2.121945, 2.140695, 2.156495, 2.170896, 
    2.184996, 2.198496, 2.210746, 2.223697, 2.237897, 2.250848, 2.262248, 
    2.273299, 2.283499, 2.29265, 2.2985, 2.302951, 2.305001, 2.305701, 
    2.304502, 2.302252, 2.298952, 2.295102, 2.291003, 2.286553, 2.282503, 
    2.278753,
  2.240506, 2.237356, 2.228858, 2.210959, 2.18901, 2.167761, 2.145513, 
    2.124164, 2.109765, 2.104466, 2.123065, 2.180664, 2.257763, 2.340812, 
    2.426712, 2.500212, 2.554512, 2.596913, 2.632614, 2.652566, 2.656017, 
    2.661217, 2.669767, 2.671367, 2.647266, 2.605664, 2.553212, 2.487461, 
    2.41301, 2.328759, 2.231759, 2.147059, 2.10551, 2.124161, 2.192512, 
    2.287564, 2.388516, 2.485267, 2.572718, 2.638369, 2.678518, 2.694868, 
    2.684516, 2.658665, 2.637764, 2.625614, 2.626814, 2.642514, 2.673014, 
    2.729415, 2.923466, 3.235964, 3.545263, 3.801711, 3.990859, 4.087858, 
    4.113757, 4.098007, 4.021307, 3.793357, 3.51876, 3.285113, 3.138017, 
    3.08847, 3.112272, 3.164774, 3.224074, 3.270374, 3.298773, 3.291472, 
    3.216922, 3.09937, 2.991768, 2.915317, 2.882316, 2.892866, 2.914766, 
    2.930366, 2.950467, 2.986119, 3.033019, 3.07607, 2.77537, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05928191, 0.765973, 1.165249, 
    1.155599, 1.146549, 1.138349, 1.132249, 1.12755, 1.1247, 1.1251, 
    1.128251, 1.133502, 1.140003, 1.146804, 1.154005, 1.160506, 1.164956, 
    1.167506, 1.167005, 1.165105, 1.161455, 1.165305, 1.180255, 1.200456, 
    1.227356, 1.252307, 1.269257, 1.279557, 1.285607, 1.291407, 1.291006, 
    1.281504, 1.261603, 1.235502, 1.212751, 1.195601, 1.193451, 1.207, 
    1.2245, 1.240249, 1.256449, 1.272099, 1.28625, 1.301099, 1.315299, 
    1.320899, 1.323749, 0.8594906, 0.726081, 1.123409, 0.3288503, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.285563, 2.561895, 2.538745, 2.521195, 2.511345, 2.498345, 2.472496, 
    2.446296, 2.425296, 2.417446, 2.421497, 2.427998, 2.434449, 2.4347, 
    2.43375, 2.4328, 2.43345, 2.43445, 2.43625, 2.4384, 2.4401, 2.4426, 
    2.44475, 2.446199, 2.447049, 2.447699, 2.446499, 2.445299, 2.442949, 
    2.4396, 2.433, 2.4194, 2.396051, 2.364602, 2.330502, 2.290103, 2.240104, 
    2.186905, 1.611164, 1.042068, 0.1942538, 0.8854797, 0.4156232, 0, 0, 
    0.333601, 1.094502, 1.070701, 1.067101, 1.066851, 1.065751, 1.063951, 
    1.008884, 0.3705369, 0, 0, 0.5309795, 1.0663, 1.0745, 1.0932, 1.123499, 
    1.162749, 1.211998, 1.272798, 1.347397, 1.433246, 1.513746, 1.590396, 
    1.674697, 1.751997, 1.820997, 1.881947, 1.935997, 1.980196, 2.013746, 
    2.044146, 2.072346, 2.097096, 2.117246, 2.135996, 2.154896, 2.172397, 
    2.187247, 2.200347, 2.212397, 2.222898, 2.232498, 2.242099, 2.251899, 
    2.26045, 2.267751, 2.274351, 2.280951, 2.286402, 2.289502, 2.291203, 
    2.290953, 2.289253, 2.286254, 2.282204, 2.277354, 2.271004, 2.264755, 
    2.258505, 2.252056, 2.246456,
  2.196009, 2.18936, 2.172362, 2.145364, 2.115265, 2.086217, 2.055569, 
    2.02637, 2.005271, 1.995372, 2.015971, 2.08147, 2.165519, 2.254467, 
    2.343517, 2.416467, 2.467018, 2.504269, 2.53292, 2.543472, 2.539773, 
    2.540624, 2.547925, 2.551725, 2.534523, 2.501922, 2.46122, 2.407517, 
    2.342515, 2.264913, 2.171112, 2.086611, 2.042262, 2.055313, 2.114414, 
    2.198067, 2.287019, 2.373521, 2.453972, 2.517023, 2.559023, 2.579672, 
    2.576521, 2.558019, 2.541519, 2.531668, 2.533119, 2.546269, 2.57327, 
    2.625471, 2.815072, 3.131222, 3.449771, 3.716519, 3.916117, 4.019917, 
    4.049016, 4.034716, 3.958266, 3.727766, 3.442267, 3.191769, 3.023223, 
    2.954576, 2.964279, 3.00863, 3.06638, 3.11563, 3.147279, 3.143928, 
    3.076777, 2.971374, 2.876771, 2.811919, 2.781369, 2.78807, 2.81027, 
    2.823371, 2.834522, 2.856875, 2.895529, 2.926482, 2.628032, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6028651, 1.186898, 
    1.173498, 1.163248, 1.153599, 1.145048, 1.137999, 1.132349, 1.127199, 
    1.1247, 1.12425, 1.124501, 1.123503, 1.122654, 1.124255, 1.126906, 
    1.130156, 1.135055, 1.139254, 1.141703, 1.142202, 1.147001, 1.160501, 
    1.178551, 1.203651, 1.225052, 1.238503, 1.244954, 1.248805, 1.256105, 
    1.261754, 1.259703, 1.246902, 1.225401, 0.906865, 0.5960274, 0.5957274, 
    0.6036304, 0.9218659, 0.8066163, 0.6292402, 0.8297195, 1.289499, 
    1.304599, 1.319849, 1.3266, 1.3285, 0.3987, 0.06647537, 0.4653276, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.2592996, 2.587146, 2.571493, 2.56389, 2.556739, 2.53879, 
    2.509241, 2.481791, 2.460292, 2.450892, 2.449743, 2.447545, 2.442748, 
    2.43655, 2.435, 2.43415, 2.43455, 2.43595, 2.437999, 2.4404, 2.4421, 
    2.444749, 2.4475, 2.449549, 2.450999, 2.451699, 2.450499, 2.448949, 
    2.44645, 2.442799, 2.435, 2.41915, 2.392001, 2.356051, 2.317502, 
    2.271603, 2.214905, 2.158005, 1.065003, 0.6818896, 1.016281, 1.737913, 
    0.815756, 0, 0.05647843, 0.72325, 1.083502, 1.0677, 1.06405, 1.063351, 
    1.0625, 1.06095, 1.05955, 0.9000893, 0.2646489, 0, 0.05322031, 0.6935422, 
    1.07475, 1.09525, 1.127549, 1.169349, 1.221248, 1.285398, 1.364847, 
    1.453647, 1.532748, 1.609047, 1.692497, 1.771197, 1.838747, 1.898597, 
    1.953997, 2.000297, 2.034997, 2.064447, 2.091798, 2.115448, 2.134748, 
    2.152648, 2.170349, 2.185799, 2.1985, 2.2098, 2.219851, 2.227801, 
    2.234751, 2.240652, 2.246853, 2.251704, 2.256004, 2.259604, 2.262955, 
    2.265455, 2.266756, 2.266656, 2.264906, 2.261456, 2.257257, 2.251657, 
    2.244857, 2.236408, 2.228008, 2.219609, 2.211109, 2.204009,
  2.139514, 2.128665, 2.102967, 2.067769, 2.029271, 1.992523, 1.953625, 
    1.916876, 1.889778, 1.875978, 1.899128, 1.970327, 2.060276, 2.154774, 
    2.246774, 2.318724, 2.365275, 2.397126, 2.418878, 2.42138, 2.410281, 
    2.405833, 2.409783, 2.415433, 2.404531, 2.382079, 2.353926, 2.314822, 
    2.263019, 2.196516, 2.109864, 2.028413, 1.983263, 1.990964, 2.039917, 
    2.11177, 2.188272, 2.264425, 2.336877, 2.397377, 2.440027, 2.464126, 
    2.467625, 2.456723, 2.444022, 2.435522, 2.435522, 2.445523, 2.469024, 
    2.517025, 2.701426, 3.011628, 3.33003, 3.60083, 3.806029, 3.913729, 
    3.944029, 3.930579, 3.854828, 3.625728, 3.339777, 3.081477, 2.89783, 
    2.814283, 2.812285, 2.850186, 2.908086, 2.960735, 2.995535, 2.996733, 
    2.939681, 2.850576, 2.771773, 2.717471, 2.686571, 2.686923, 2.705274, 
    2.715574, 2.720525, 2.728928, 2.747034, 2.75534, 2.462738, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.06601971, 0.6562989, 0.6399564, 
    0.6243135, 1.155319, 1.196748, 1.182748, 1.171898, 1.161648, 1.153048, 
    1.145748, 1.139148, 1.132648, 1.128099, 1.124999, 1.119801, 1.111502, 
    1.103953, 1.101254, 1.101705, 1.105404, 1.114703, 1.125502, 1.13455, 
    1.143548, 1.154446, 1.169745, 1.188894, 1.213094, 1.231694, 1.239496, 
    1.239948, 1.238949, 1.24425, 1.252, 1.253449, 1.243749, 1.041683, 
    0.3028888, 0, 0, 0, 0.3091417, 0.185485, 0, 0.1928384, 0.645796, 
    0.6533495, 1.257129, 1.3283, 0.9969023, 0.1994414, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.530738, 2.508138, 2.495539, 2.486991, 2.472494, 2.452498, 2.4364, 
    2.434251, 2.433851, 2.43505, 2.43725, 2.44, 2.4424, 2.444549, 2.447249, 
    2.450249, 2.453249, 2.455399, 2.455849, 1.84103, 1.225862, 2.327755, 
    2.446499, 2.437499, 2.4194, 2.388951, 2.349151, 2.306502, 2.255803, 
    2.192805, 2.133105, 1.550274, 1.64712, 1.823963, 1.445519, 0.4001834, 0, 
    0.5917304, 1.111952, 1.07875, 1.0662, 1.0625, 1.06135, 1.06075, 1.0598, 
    1.05905, 1.059, 0.7938787, 0.1586272, 0.05307565, 0.6922297, 1.07425, 
    1.09595, 1.13, 0.9929323, 0.613031, 1.104935, 1.375998, 1.464848, 
    1.542499, 1.617699, 1.700699, 1.78055, 1.8475, 1.90675, 1.96145, 2.00665, 
    2.040751, 2.069251, 2.095251, 2.117151, 2.135252, 2.151602, 2.167353, 
    2.180703, 2.191004, 2.199904, 2.207355, 2.212706, 2.217006, 2.220257, 
    2.223857, 2.225958, 2.227758, 2.229559, 2.230559, 2.231659, 2.231759, 
    2.23046, 2.22746, 2.22316, 2.21751, 2.210811, 2.201911, 2.191462, 
    2.181012, 2.170213, 2.159663, 2.151063,
  2.07052, 2.056171, 2.022473, 1.978975, 1.933277, 1.889329, 1.842681, 
    1.799032, 1.766784, 1.750284, 1.775184, 1.849733, 1.943533, 2.041532, 
    2.135082, 2.205482, 2.248533, 2.275484, 2.290386, 2.285738, 2.268539, 
    2.259041, 2.259592, 2.266642, 2.26179, 2.249237, 2.235533, 2.212729, 
    2.176274, 2.123021, 2.047017, 1.971015, 1.926015, 1.928967, 1.968219, 
    2.027272, 2.092026, 2.157828, 2.22168, 2.278082, 2.320782, 2.348431, 
    2.358229, 2.354578, 2.345777, 2.338027, 2.336577, 2.344927, 2.365278, 
    2.409079, 2.586631, 2.885484, 3.192788, 3.458091, 3.660744, 3.767944, 
    3.797545, 3.784794, 3.710994, 3.486242, 3.20679, 2.952187, 2.762387, 
    2.670538, 2.66054, 2.693941, 2.751492, 2.80834, 2.84629, 2.852038, 
    2.808084, 2.738429, 2.675525, 2.632221, 2.602171, 2.595223, 2.605776, 
    2.613527, 2.615227, 2.228085, 1.972126, 2.594539, 1.31662, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6840541, 1.322945, 1.288246, 1.256346, 
    1.229297, 1.207947, 1.192997, 1.181897, 1.171597, 1.162697, 1.155497, 
    1.148297, 1.141497, 1.135148, 1.129248, 1.11845, 1.103552, 1.090403, 
    1.084254, 1.083354, 1.089153, 1.104352, 1.1225, 1.140997, 1.161843, 
    1.18194, 1.202988, 1.226836, 1.253285, 1.269036, 1.270488, 1.265289, 
    1.258491, 1.259142, 1.265743, 1.266744, 1.192129, 0.4307306, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.5967696, 0.664856, 0.332428, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0.3918598, 1.985094, 2.679035, 2.688483, 2.657285, 2.616486, 
    2.581987, 2.557887, 2.540739, 2.523241, 2.495595, 2.459749, 2.433251, 
    2.431001, 2.4319, 2.43505, 2.438899, 2.441999, 2.4444, 2.447, 2.449749, 
    2.452999, 2.456949, 2.459899, 2.460998, 1.230499, 0, 2.209649, 2.450849, 
    2.440999, 2.420999, 2.38745, 2.344401, 2.298002, 2.242853, 2.174654, 
    2.112855, 2.031257, 1.915708, 1.782557, 1.177405, 0.3540602, 0.6706905, 
    1.136965, 1.108949, 1.079, 1.0655, 1.0615, 1.06035, 1.05975, 1.05915, 
    1.059, 1.05885, 1.058, 0.6870019, 0.5814952, 1.062801, 1.072251, 
    1.094301, 1.129501, 0.8130502, 0, 0.9194498, 1.3798, 1.467251, 1.541502, 
    1.614353, 1.696154, 1.774254, 1.840254, 1.898555, 1.952855, 1.996855, 
    2.029755, 2.057055, 2.081306, 2.101706, 2.118007, 2.132208, 2.145358, 
    2.156109, 2.16401, 2.170511, 2.175411, 2.178612, 2.180762, 2.182212, 
    2.183913, 2.184513, 2.184763, 2.185364, 2.185564, 2.186014, 2.185514, 
    2.183264, 2.179464, 2.174365, 2.167265, 2.159116, 2.148416, 2.136016, 
    2.123517, 2.110667, 2.097718, 2.087119,
  1.991026, 1.973177, 1.932479, 1.881981, 1.830032, 1.779485, 1.726236, 
    1.676688, 1.639789, 1.62144, 1.64754, 1.72239, 1.81704, 1.91624, 2.00999, 
    2.078741, 2.118542, 2.141193, 2.149795, 2.138197, 2.116798, 2.103799, 
    2.101299, 2.1087, 2.109548, 2.106195, 2.107141, 2.101435, 2.08128, 
    2.042576, 1.979722, 1.911769, 1.868018, 1.866619, 1.896872, 1.942776, 
    1.99553, 2.050733, 2.105386, 2.155988, 2.197789, 2.228388, 2.244736, 
    2.247934, 2.243532, 2.237731, 2.236581, 2.244631, 2.263281, 2.303982, 
    2.471435, 2.754841, 3.042798, 3.291904, 3.484158, 3.58686, 3.614811, 
    3.60356, 3.533958, 3.318954, 3.052049, 2.811044, 2.626091, 2.532191, 
    2.516542, 2.545694, 2.601795, 2.660944, 2.702293, 2.714591, 2.685336, 
    2.63448, 2.587026, 2.556022, 2.528621, 2.514673, 2.516026, 1.654108, 
    1.283136, 0.8947984, 1.241018, 1.6247, 0.1257271, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.3775184, 0.7330002, 1.31865, 1.341395, 1.303745, 
    1.270646, 1.242346, 1.220296, 1.204996, 1.193546, 1.183546, 1.174696, 
    1.167496, 1.160296, 1.153396, 1.145846, 1.136747, 1.120299, 1.099151, 
    1.081002, 1.072003, 1.070703, 1.079852, 1.1015, 1.126998, 1.155995, 
    1.19024, 1.222336, 1.252983, 1.28538, 1.318877, 1.331477, 1.328478, 
    1.318829, 1.307031, 1.303231, 1.306483, 1.303085, 0.6356083, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.354243, 
    2.731935, 2.743536, 2.706238, 2.661489, 2.624439, 2.59904, 2.576291, 
    2.549494, 2.509398, 2.460301, 2.428252, 2.427001, 2.4303, 2.4355, 
    2.44055, 2.444, 2.446399, 2.449049, 2.452249, 2.455999, 2.460799, 
    1.478254, 2.466499, 1.233249, 0.8629205, 2.337823, 2.455848, 2.445498, 
    2.423599, 2.38785, 2.3418, 2.292501, 2.233752, 2.161403, 2.097904, 
    2.013753, 1.896703, 1.681553, 0.5845082, 0.7097493, 1.346347, 1.207747, 
    1.107702, 1.076002, 1.064251, 1.061, 1.05985, 1.05925, 1.059, 1.05895, 
    1.0582, 1.057, 1.056151, 1.056301, 1.060501, 1.068502, 1.089452, 
    1.066938, 0.5855893, 0.298317, 0.9159524, 1.371455, 1.455107, 1.524258, 
    1.595158, 1.675159, 1.75146, 1.81626, 1.87371, 1.92731, 1.970211, 
    2.002261, 2.028361, 2.050812, 2.069263, 2.083513, 2.094964, 2.105265, 
    2.112516, 2.118017, 2.122118, 2.124968, 2.126819, 2.127769, 2.128019, 
    2.128469, 2.128519, 2.128519, 2.128519, 2.128519, 2.128519, 2.128019, 
    2.125419, 2.120919, 2.11472, 2.10677, 2.09707, 2.084471, 2.070422, 
    2.055522, 2.040623, 2.025674, 2.012525,
  1.901033, 1.880384, 1.834935, 1.779137, 1.721788, 1.66549, 1.606742, 
    1.551993, 1.511045, 1.491445, 1.517395, 1.590446, 1.683297, 1.781048, 
    1.873399, 1.9395, 1.976301, 1.995602, 1.998754, 1.981306, 1.956557, 
    1.941257, 1.936958, 1.944808, 1.950306, 1.955803, 1.969749, 1.979344, 
    1.974539, 1.950834, 1.902529, 1.845275, 1.805273, 1.800274, 1.821177, 
    1.854781, 1.895785, 1.940289, 1.985042, 2.028445, 2.067546, 2.100346, 
    2.123294, 2.133941, 2.135288, 2.133837, 2.135086, 2.144784, 2.163534, 
    2.201535, 2.35594, 2.616899, 2.87856, 3.103819, 3.279176, 3.373779, 
    3.400579, 3.392378, 3.331124, 3.133717, 2.889557, 2.670947, 2.50094, 
    2.411387, 2.392788, 2.417939, 2.47139, 2.529891, 2.57404, 2.591939, 
    2.574636, 2.540231, 2.507276, 2.487273, 2.459923, 2.439925, 1.835442, 
    0.3718068, 0.1175687, 1.172389, 1.188766, 1.158852, 1.11383, 0.7621229, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2401339, 1.161219, 1.477543, 1.409844, 
    1.357945, 1.318995, 1.285295, 1.256345, 1.233795, 1.218495, 1.207045, 
    1.197495, 1.188845, 1.181994, 1.175144, 1.167994, 1.160544, 1.148745, 
    1.127496, 1.100748, 1.0784, 1.06725, 1.0659, 1.077999, 1.105298, 
    1.137745, 1.176492, 1.223388, 1.269483, 1.312728, 1.357023, 1.401369, 
    1.413519, 1.408219, 1.39557, 1.38152, 1.375621, 1.375721, 0.8767121, 
    0.06629579, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.6832218, 2.359075, 2.781639, 2.74029, 2.69374, 2.655591, 
    2.628791, 2.600843, 2.564996, 2.514449, 2.45735, 2.424551, 2.42475, 
    2.42985, 2.436949, 2.443049, 2.446499, 2.448899, 2.451549, 2.454749, 
    2.458999, 1.601446, 0.2468205, 1.606497, 1.854571, 2.100342, 2.467397, 
    2.461698, 2.450498, 2.427048, 2.389799, 2.341849, 2.2905, 2.229001, 
    2.153152, 2.088752, 2.005502, 1.889702, 1.592951, 0, 0.7144976, 1.359344, 
    1.221993, 1.106799, 0.806434, 0.9030607, 1.060051, 1.058701, 1.058001, 
    1.058001, 1.057451, 1.056201, 1.054751, 1.053651, 1.053201, 1.055253, 
    1.060504, 1.079055, 0.9977553, 0.3547524, 0.8955436, 1.083481, 1.344663, 
    1.423564, 1.489765, 1.559115, 1.637166, 1.711667, 1.775267, 1.831868, 
    1.884418, 1.926918, 1.957769, 1.982669, 2.00327, 2.01932, 2.031521, 
    2.040572, 2.047823, 2.052423, 2.055524, 2.057925, 2.059075, 2.060175, 
    2.060525, 2.060525, 2.060525, 2.060525, 2.060525, 2.060525, 2.060525, 
    2.060525, 2.059775, 2.056926, 2.051876, 2.044576, 2.035776, 2.024877, 
    2.010477, 1.994328, 1.977029, 1.95973, 1.94308, 1.927431,
  1.80104, 1.778641, 1.730342, 1.670743, 1.609794, 1.549545, 1.486196, 
    1.426748, 1.383299, 1.362599, 1.387649, 1.456901, 1.545803, 1.640305, 
    1.728907, 1.791558, 1.826808, 1.843859, 1.84271, 1.820861, 1.794312, 
    1.777212, 1.771563, 1.779763, 1.789311, 1.802359, 1.825906, 1.847502, 
    1.855798, 1.845892, 1.811987, 1.767682, 1.734279, 1.72678, 1.738583, 
    1.761237, 1.791791, 1.825495, 1.861049, 1.896452, 1.930804, 1.964104, 
    1.992402, 2.01025, 2.018297, 2.021795, 2.027543, 2.041042, 2.06204, 
    2.09809, 2.235049, 2.464313, 2.694076, 2.891637, 3.045445, 3.130649, 
    3.158098, 3.154396, 3.105341, 2.936927, 2.728311, 2.543146, 2.397635, 
    2.319129, 2.301528, 2.323479, 2.372432, 2.427434, 2.471035, 2.490484, 
    2.478633, 2.45653, 2.436275, 2.424423, 2.394374, 2.020545, 0.5984601, 0, 
    1.1439, 2.299136, 1.693593, 1.887722, 2.181736, 1.79819, 0.507859, 0, 0, 
    0, 0, 0, 0, 0.2715909, 0.8995574, 0.2681435, 0, 0.4828483, 1.575244, 
    1.496544, 1.426494, 1.373444, 1.334244, 1.300294, 1.270894, 1.248144, 
    1.232744, 1.221894, 1.212994, 1.204993, 1.198743, 1.192493, 1.185543, 
    1.178393, 1.164493, 1.139045, 1.107347, 1.081148, 1.0675, 1.0654, 
    1.080049, 1.111798, 1.150495, 1.198292, 1.258487, 1.31973, 1.377974, 
    1.437268, 1.495812, 1.51001, 1.50496, 1.492559, 1.479008, 1.473607, 
    1.091251, 0.2125634, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3370905, 0.5618174, 0, 0, 0, 0, 1.971192, 2.811939, 
    2.76764, 2.72049, 2.68244, 2.655439, 2.622391, 2.578244, 2.520447, 
    2.459498, 2.425848, 2.426998, 2.433048, 2.441397, 2.447898, 2.450748, 
    2.452548, 2.454549, 2.457399, 2.462249, 0.7394996, 0, 0.3716857, 
    1.858975, 2.477947, 2.474397, 2.468397, 2.456497, 2.432697, 2.394298, 
    2.345198, 2.292498, 2.228599, 2.1501, 2.087998, 2.006997, 1.892396, 
    1.596846, 0, 0.7254942, 1.38099, 1.180789, 0.5547765, 0.2702077, 
    0.3716357, 0.5826169, 1.055701, 1.054752, 1.054152, 1.053002, 1.051552, 
    1.050002, 1.049502, 1.046104, 1.043056, 1.043759, 1.057761, 0.9755113, 
    0.3453046, 1.173266, 1.230169, 1.296623, 1.373073, 1.439023, 1.507073, 
    1.582274, 1.654575, 1.716526, 1.771827, 1.823427, 1.865128, 1.895028, 
    1.918628, 1.937778, 1.952229, 1.96228, 1.96988, 1.974931, 1.977981, 
    1.979532, 1.981082, 1.981582, 1.982032, 1.982032, 1.982032, 1.982032, 
    1.982032, 1.982032, 1.982032, 1.982032, 1.982032, 1.981032, 1.977932, 
    1.972383, 1.964133, 1.954033, 1.941834, 1.925885, 1.907386, 1.888036, 
    1.868337, 1.849588, 1.831839,
  1.693547, 1.669748, 1.619348, 1.557799, 1.494799, 1.43215, 1.366151, 
    1.303802, 1.258802, 1.237252, 1.259954, 1.323906, 1.407309, 1.497361, 
    1.581513, 1.641414, 1.676314, 1.693013, 1.689264, 1.665364, 1.638814, 
    1.621014, 1.614064, 1.621415, 1.633315, 1.651513, 1.680661, 1.710908, 
    1.729305, 1.730901, 1.710545, 1.680039, 1.655035, 1.645786, 1.649489, 
    1.662343, 1.682797, 1.706051, 1.731656, 1.75881, 1.787562, 1.819113, 
    1.851062, 1.87541, 1.889557, 1.898804, 1.910452, 1.928749, 1.953798, 
    1.988648, 2.102259, 2.293975, 2.48959, 2.659302, 2.793209, 2.871111, 
    2.901859, 2.904606, 2.871698, 2.743679, 2.579559, 2.436091, 2.323725, 
    2.263515, 2.252261, 2.272161, 2.316413, 2.367014, 2.408765, 2.429514, 
    2.418214, 2.397767, 2.38002, 2.366473, 2.218173, 0.8193443, 0, 0.7770404, 
    2.128087, 2.211185, 2.181285, 2.144035, 2.095733, 2.03593, 1.480356, 
    0.9405516, 0.182595, 0.6259686, 0, 0.6294656, 0.9007853, 1.173565, 
    1.795254, 1.150279, 0.8616186, 1.0743, 1.587996, 1.510745, 1.441044, 
    1.388444, 1.349244, 1.314944, 1.285394, 1.262644, 1.247494, 1.237243, 
    1.229493, 1.222492, 1.216742, 1.210992, 1.204892, 1.197542, 1.182742, 
    1.153593, 1.117795, 1.087247, 1.070498, 1.067049, 1.082749, 1.118497, 
    1.162495, 1.218741, 1.292636, 1.370279, 1.445221, 1.522263, 1.598955, 
    1.624896, 1.623944, 1.616341, 1.608087, 1.354898, 0.3828244, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.617831, 1.153571, 1.250888, 1.322228, 1.381327, 2.413583, 2.840988, 
    2.79249, 2.74549, 2.708289, 2.681589, 2.644241, 2.593743, 2.531694, 
    2.467595, 2.432496, 2.434246, 2.440896, 2.449296, 2.454747, 2.456747, 
    2.457348, 2.457699, 2.460249, 1.848273, 0.3703639, 0, 0, 1.243249, 
    2.485097, 2.481347, 2.474897, 2.463247, 2.439697, 2.401346, 2.352696, 
    2.299246, 2.234596, 2.156894, 2.099792, 2.021991, 1.905343, 1.605297, 0, 
    0.7349983, 1.395099, 1.128701, 0, 0, 0, 0.0527447, 0.683764, 1.048004, 
    1.046804, 1.045354, 1.042105, 1.040006, 1.040006, 1.032058, 1.022411, 
    1.016264, 1.023767, 0.5833704, 0.5355834, 0.8560013, 1.175775, 1.234128, 
    1.308729, 1.37478, 1.44188, 1.514281, 1.583183, 1.642284, 1.695435, 
    1.745386, 1.785487, 1.814538, 1.836938, 1.855239, 1.868589, 1.877789, 
    1.884539, 1.888889, 1.89069, 1.89154, 1.89274, 1.89304, 1.89304, 1.89304, 
    1.89304, 1.89304, 1.89304, 1.89304, 1.89304, 1.89304, 1.89304, 1.89204, 
    1.88859, 1.88239, 1.873341, 1.862041, 1.848292, 1.830793, 1.809944, 
    1.788545, 1.766795, 1.746146, 1.726747,
  1.585549, 1.561049, 1.509399, 1.447149, 1.383299, 1.31945, 1.2517, 
    1.188001, 1.141802, 1.119053, 1.137854, 1.195757, 1.272561, 1.356364, 
    1.435717, 1.493767, 1.528567, 1.546217, 1.542916, 1.520964, 1.496312, 
    1.478662, 1.470463, 1.475614, 1.488064, 1.508913, 1.540763, 1.575262, 
    1.59981, 1.610356, 1.602601, 1.585395, 1.569541, 1.56069, 1.557393, 
    1.560947, 1.571302, 1.584107, 1.598812, 1.617316, 1.640318, 1.66857, 
    1.70187, 1.731918, 1.751815, 1.767862, 1.785959, 1.809806, 1.838804, 
    1.874453, 1.962265, 2.115483, 2.277349, 2.42171, 2.541315, 2.616015, 
    2.652612, 2.664357, 2.6482, 2.567427, 2.452803, 2.352184, 2.274319, 
    2.23451, 2.231757, 2.252456, 2.294556, 2.344505, 2.385755, 2.405657, 
    2.392558, 2.368359, 2.345761, 2.324214, 1.152705, 0, 0, 0.7784212, 
    2.063929, 2.139229, 2.10753, 2.07093, 2.026429, 1.972926, 1.920023, 
    1.86152, 1.075691, 1.509912, 0.8849285, 1.519709, 1.795057, 1.797557, 
    1.784755, 1.761803, 1.723951, 1.668396, 1.599744, 1.524792, 1.456892, 
    1.404142, 1.364243, 1.329593, 1.299443, 1.276793, 1.261994, 1.252443, 
    1.245543, 1.239643, 1.234742, 1.229841, 1.224341, 1.217191, 1.202491, 
    1.170991, 1.131743, 1.097344, 1.077496, 1.071997, 1.086998, 1.125547, 
    1.174245, 1.237992, 1.325285, 1.419627, 1.512469, 1.60846, 1.706849, 
    1.754988, 1.762433, 1.764628, 1.675207, 0.5906473, 0, 0, 0, 0, 0, 0, 0, 
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    2.048059, 2.273383, 2.503301, 2.658589, 2.784732, 2.869578, 2.87673, 
    2.822882, 2.773985, 2.735936, 2.707537, 2.667039, 2.61274, 2.548291, 
    2.481292, 2.445492, 2.447242, 2.453543, 2.460344, 2.464295, 2.464496, 
    2.462947, 2.461698, 2.463099, 1.232249, 0, 0, 0, 1.246249, 2.491447, 
    2.487797, 2.481047, 2.469997, 2.447047, 2.410395, 2.364144, 2.311993, 
    2.249341, 2.17509, 2.123187, 2.044988, 1.921642, 1.615543, 0, 0.740247, 
    0.9216406, 0.5642728, 0, 0, 0, 0, 0.3114017, 1.037506, 1.036306, 
    1.033257, 1.027008, 1.023509, 1.023509, 1.011461, 0.9952637, 0.982766, 
    0.6464819, 0.4927831, 0.3664396, 0.5452632, 1.115728, 1.166482, 1.238084, 
    1.303284, 1.369185, 1.438736, 1.503788, 1.55904, 1.609041, 1.655993, 
    1.694044, 1.721545, 1.742746, 1.759796, 1.772447, 1.781047, 1.787198, 
    1.790898, 1.792048, 1.792548, 1.793399, 1.793549, 1.793549, 1.793549, 
    1.793549, 1.793549, 1.793549, 1.793549, 1.793549, 1.793549, 1.793549, 
    1.792549, 1.789098, 1.782399, 1.772849, 1.761049, 1.746449, 1.728249, 
    1.706149, 1.683549, 1.660949, 1.639649, 1.619449,
  1.484549, 1.460399, 1.408948, 1.348196, 1.288292, 1.228038, 1.163234, 
    1.102431, 1.056779, 1.03248, 1.048081, 1.099285, 1.166791, 1.239548, 
    1.308556, 1.360711, 1.392065, 1.409415, 1.408564, 1.391011, 1.36956, 
    1.352659, 1.34336, 1.34661, 1.35981, 1.381759, 1.41331, 1.447911, 
    1.474561, 1.491409, 1.494154, 1.488449, 1.480545, 1.473345, 1.466245, 
    1.462398, 1.462304, 1.464659, 1.469963, 1.481316, 1.498569, 1.522471, 
    1.554122, 1.586473, 1.61157, 1.634567, 1.660263, 1.689061, 1.72081, 
    1.758859, 1.823269, 1.940087, 2.070851, 2.19426, 2.304414, 2.380013, 
    2.423609, 2.445504, 2.446295, 2.413022, 2.347798, 2.287828, 2.239015, 
    2.214808, 2.217257, 2.238607, 2.280108, 2.329709, 2.368761, 2.384014, 
    2.368965, 2.343216, 1.746093, 1.155963, 0.115266, 0, 0, 0, 1.906719, 
    2.086621, 2.052773, 2.016822, 1.978018, 1.932063, 1.884011, 1.83071, 
    1.781356, 1.761955, 1.767005, 1.776603, 1.784402, 1.787353, 1.776004, 
    1.755203, 1.7231, 1.675397, 1.611995, 1.539843, 1.473193, 1.419493, 
    1.378993, 1.343743, 1.312944, 1.289794, 1.275244, 1.266294, 1.260093, 
    1.255442, 1.251492, 1.247542, 1.242841, 1.236341, 1.22199, 1.189441, 
    1.147242, 1.109744, 1.087245, 1.079096, 1.093146, 1.133296, 1.185744, 
    1.256041, 1.355536, 1.466477, 1.577468, 1.693008, 1.814297, 1.886984, 
    1.906677, 1.923918, 1.751166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.08668724, 0.8895451, 0.9929993, 1.119927, 
    2.395508, 2.687083, 2.829225, 2.92272, 2.926072, 2.864527, 2.81073, 
    2.768832, 2.736584, 2.692936, 2.636237, 2.570088, 2.501389, 2.464989, 
    2.466239, 2.47099, 2.475342, 2.476693, 2.474245, 2.469696, 2.466248, 
    2.096471, 0.617121, 0, 0, 0, 1.248998, 2.497297, 2.493797, 2.487197, 
    2.476747, 2.455096, 2.420944, 2.378192, 2.32999, 2.270938, 2.200036, 
    2.154333, 2.076231, 1.951928, 1.64293, 0, 0.3721245, 0.2232747, 0, 0, 0, 
    0, 0, 0.3078018, 1.025256, 1.023107, 1.017259, 1.00791, 1.001762, 
    1.000164, 0.9833667, 0.9605701, 0.9440216, 0.2817067, 0.3907933, 
    0.1449039, 0.7575216, 1.05513, 1.099733, 1.167784, 1.231535, 1.295287, 
    1.361189, 1.421741, 1.472544, 1.518097, 1.561049, 1.595951, 1.621302, 
    1.640703, 1.655854, 1.667155, 1.674806, 1.680006, 1.682457, 1.683057, 
    1.683308, 1.683558, 1.683558, 1.683558, 1.683558, 1.683558, 1.683558, 
    1.683558, 1.683558, 1.683558, 1.683558, 1.683558, 1.682558, 1.679458, 
    1.672958, 1.663857, 1.652556, 1.638806, 1.621305, 1.600454, 1.579052, 
    1.557302, 1.537101, 1.51775,
  1.393047, 1.369946, 1.320744, 1.266139, 1.214285, 1.161731, 1.104727, 
    1.051123, 1.00927, 0.9859681, 0.9983702, 1.041925, 1.096283, 1.153791, 
    1.208299, 1.249755, 1.274558, 1.28921, 1.28976, 1.276558, 1.258806, 
    1.243505, 1.233904, 1.237553, 1.252053, 1.273553, 1.302805, 1.334957, 
    1.360808, 1.380358, 1.391104, 1.39375, 1.391048, 1.384848, 1.377048, 
    1.369249, 1.362551, 1.358302, 1.357455, 1.363108, 1.37581, 1.395512, 
    1.423714, 1.454615, 1.481316, 1.507316, 1.537116, 1.568516, 1.601815, 
    1.640715, 1.694066, 1.783177, 1.889338, 1.997595, 2.101947, 2.180795, 
    2.23234, 2.264984, 2.282826, 2.282065, 2.258295, 2.233479, 2.208767, 
    2.196511, 2.202509, 2.223558, 2.26336, 2.308214, 2.342017, 2.35202, 
    2.221095, 1.165116, 0.5788791, 0, 0, 0, 0, 0, 1.885403, 2.061005, 
    2.025006, 1.988657, 1.953857, 1.911608, 1.864759, 1.813358, 1.767709, 
    1.749757, 1.756257, 1.767307, 1.776606, 1.778057, 1.766756, 1.748803, 
    1.7234, 1.681097, 1.622245, 1.552544, 1.486593, 1.432344, 1.391244, 
    1.355395, 1.324445, 1.301444, 1.287493, 1.278793, 1.273593, 1.270092, 
    1.266742, 1.263392, 1.259392, 1.253991, 1.239991, 1.207091, 1.162792, 
    1.123142, 1.098244, 1.088044, 1.101245, 1.142095, 1.196495, 1.271893, 
    1.381437, 1.50788, 1.635721, 1.77091, 1.914698, 2.011585, 2.047176, 
    2.084863, 1.915812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.5649847, 0, 0, 0, 1.145295, 1.778558, 2.877974, 2.98022, 
    2.98112, 2.910375, 2.850978, 2.803482, 2.766185, 2.719486, 2.661237, 
    2.594936, 2.525936, 2.489186, 2.489237, 2.492088, 2.493739, 2.491441, 
    2.485493, 2.477446, 2.471347, 1.728998, 0, 0, 0, 0, 1.251749, 2.502797, 
    2.499347, 2.493197, 2.483246, 2.463495, 2.432493, 2.393891, 2.350738, 
    2.296385, 2.229633, 2.188132, 2.114229, 1.997274, 1.687224, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3039023, 1.012008, 1.007859, 0.9987608, 0.9861625, 
    0.9757649, 0.9692186, 0.9472213, 0.9180245, 0.6815125, 0.1376996, 
    0.3909742, 0.5906227, 0.9557813, 0.9964811, 1.039181, 1.104332, 1.165784, 
    1.226535, 1.288137, 1.343391, 1.389044, 1.429446, 1.467599, 1.498551, 
    1.520553, 1.537655, 1.550905, 1.560856, 1.567557, 1.572157, 1.573957, 
    1.574057, 1.574057, 1.574057, 1.574057, 1.574057, 1.574057, 1.574057, 
    1.574057, 1.574057, 1.574057, 1.574057, 1.573607, 1.573557, 1.572807, 
    1.569957, 1.564406, 1.556006, 1.545805, 1.533505, 1.517404, 1.498903, 
    1.479552, 1.4602, 1.442049, 1.424198,
  1.312045, 1.290693, 1.247438, 1.201733, 1.158278, 1.113423, 1.063719, 
    1.016966, 0.9802626, 0.9600109, 0.9684632, 1.000821, 1.04053, 1.083388, 
    1.124445, 1.155451, 1.174055, 1.184607, 1.185507, 1.177054, 1.1648, 
    1.153247, 1.146344, 1.151843, 1.167043, 1.186794, 1.212646, 1.24005, 
    1.262802, 1.281704, 1.296103, 1.303152, 1.303051, 1.297351, 1.28985, 
    1.280451, 1.272301, 1.265902, 1.261404, 1.262706, 1.271808, 1.288259, 
    1.31371, 1.342312, 1.367812, 1.392613, 1.421714, 1.453514, 1.487064, 
    1.526214, 1.578714, 1.651221, 1.740829, 1.839533, 1.939985, 2.022933, 
    2.082578, 2.126122, 2.156866, 2.173757, 2.180043, 2.181081, 2.17627, 
    2.175863, 2.18576, 2.20686, 2.244162, 2.283714, 2.312017, 1.51421, 
    1.04502, 0, 0, 0, 0, 0, 0, 0, 1.877905, 2.053853, 2.016004, 1.976057, 
    1.937312, 1.891615, 1.843765, 1.792765, 1.748414, 1.733061, 1.740261, 
    1.751661, 1.762011, 1.764159, 1.756256, 1.743103, 1.722801, 1.684349, 
    1.628498, 1.561097, 1.495646, 1.441546, 1.399746, 1.364246, 1.333945, 
    1.311595, 1.298244, 1.290144, 1.285993, 1.282893, 1.280492, 1.277742, 
    1.273992, 1.269642, 1.255991, 1.223091, 1.177891, 1.137691, 1.110992, 
    1.098993, 1.110744, 1.150146, 1.203747, 1.280798, 1.397245, 1.53554, 
    1.677482, 1.830273, 1.994113, 2.109805, 2.164193, 2.223831, 2.059077, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.5885611, 0.6268404, 0, 0, 0, 0, 0.4261977, 1.452696, 1.505758, 
    2.865068, 2.939193, 2.875994, 2.825394, 2.784845, 2.736995, 2.679493, 
    2.61604, 2.550886, 2.516084, 2.513985, 2.514337, 2.512739, 2.506891, 
    2.496744, 2.485196, 2.476897, 1.732148, 0, 0, 0, 0, 1.254248, 2.507447, 
    2.504347, 2.498847, 2.489746, 2.471895, 2.443994, 2.409092, 2.370989, 
    2.322036, 2.260732, 2.220432, 2.151479, 2.042974, 1.732375, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.2994028, 0.997259, 0.9909104, 0.9782624, 0.9621147, 
    0.9470176, 0.9343708, 0.9067743, 0.8726766, 0.4277643, 0, 0.7581288, 
    0.8649814, 0.9005309, 0.9420302, 0.9867783, 1.049879, 1.10928, 1.166932, 
    1.223685, 1.273888, 1.314041, 1.349294, 1.382197, 1.409149, 1.428051, 
    1.442752, 1.454453, 1.463554, 1.469304, 1.473305, 1.474955, 1.475055, 
    1.475055, 1.475055, 1.475055, 1.475055, 1.475055, 1.475055, 1.474605, 
    1.474555, 1.474555, 1.474555, 1.474105, 1.474055, 1.473555, 1.470955, 
    1.466304, 1.458454, 1.449553, 1.438552, 1.424401, 1.40785, 1.390549, 
    1.373598, 1.357097, 1.340995,
  1.24204, 1.224537, 1.189931, 1.153475, 1.11852, 1.081465, 1.03906, 
    0.9978074, 0.9657547, 0.9477037, 0.9504583, 0.9693665, 0.995025, 
    1.023834, 1.051692, 1.073298, 1.086301, 1.093702, 1.095302, 1.092348, 
    1.087044, 1.081739, 1.080685, 1.089482, 1.104782, 1.122184, 1.143487, 
    1.164541, 1.181795, 1.197298, 1.2112, 1.219449, 1.220299, 1.215548, 
    1.209247, 1.199946, 1.191546, 1.184546, 1.177847, 1.175949, 1.181801, 
    1.195353, 1.218205, 1.244357, 1.268308, 1.291909, 1.317812, 1.346915, 
    1.378317, 1.41602, 1.467321, 1.532422, 1.610829, 1.702183, 1.799535, 
    1.886932, 1.953827, 2.007771, 2.050313, 2.080106, 2.105548, 2.126086, 
    2.138626, 2.151967, 2.168761, 1.425618, 1.118448, 1.137221, 1.150187, 
    0.3466332, 0, 0, 0, 0, 0.1090634, 1.086888, 1.073655, 1.063917, 1.987657, 
    2.057392, 2.015496, 1.968002, 1.91906, 1.866216, 1.815519, 1.76377, 
    1.722868, 1.710865, 1.718765, 1.731214, 1.742662, 1.747711, 1.744259, 
    1.734857, 1.716856, 1.680655, 1.627253, 1.56405, 1.500098, 1.446048, 
    1.404997, 1.370946, 1.341896, 1.320245, 1.307744, 1.300494, 1.296944, 
    1.294193, 1.292493, 1.290093, 1.287392, 1.283292, 1.269992, 1.237441, 
    1.19329, 1.15319, 1.12574, 1.111591, 1.120644, 1.156247, 1.206499, 
    1.281601, 1.400002, 1.544799, 1.696994, 1.863188, 2.044127, 2.173818, 
    2.246708, 2.324498, 2.294733, 0.8927816, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.682504, 2.625948, 2.57064, 2.541435, 2.537736, 2.535437, 2.52984, 
    2.520192, 2.505995, 2.492146, 2.358102, 0.8680347, 0, 0, 0, 0, 0.6285354, 
    1.25637, 2.383355, 2.504147, 2.496246, 2.480295, 2.455043, 2.423641, 
    2.389988, 2.346535, 2.291431, 1.9168, 1.086107, 1.033842, 0.877847, 0, 0, 
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    0.9357173, 0.9162697, 0.8978735, 0.8644768, 0.8266291, 0.403515, 0, 
    0.7105786, 0.8139303, 0.8510288, 0.8944272, 0.9419258, 1.004076, 
    1.062027, 1.116479, 1.168681, 1.214034, 1.248788, 1.278991, 1.306744, 
    1.329547, 1.346048, 1.358699, 1.3689, 1.376551, 1.381802, 1.384952, 
    1.386452, 1.386552, 1.386552, 1.386552, 1.386502, 1.386052, 1.386052, 
    1.386053, 1.385602, 1.385552, 1.385552, 1.385552, 1.385552, 1.385552, 
    1.384802, 1.382302, 1.378302, 1.371401, 1.3638, 1.3541, 1.341899, 
    1.327447, 1.312296, 1.297145, 1.282593, 1.268442,
  1.184534, 1.172281, 1.146974, 1.120068, 1.093262, 1.063658, 1.028353, 
    0.9917002, 0.9629986, 0.9454989, 0.9411536, 0.9477113, 0.96002, 
    0.9751287, 0.9904366, 1.003592, 1.012544, 1.018694, 1.021493, 1.022991, 
    1.024537, 1.026432, 1.031978, 1.044276, 1.059776, 1.074927, 1.09133, 
    1.105385, 1.116289, 1.126842, 1.138295, 1.146095, 1.148044, 1.145093, 
    1.140741, 1.13309, 1.125289, 1.118189, 1.11019, 1.105192, 1.107545, 
    1.116898, 1.135701, 1.158105, 1.179057, 1.199311, 1.219365, 1.24257, 
    1.269074, 1.302577, 1.35093, 1.413731, 1.486332, 1.571885, 1.669383, 
    1.762729, 1.837573, 1.902265, 1.958256, 2.000796, 2.038039, 2.073532, 
    2.103869, 1.810788, 1.081691, 0.3260844, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.103717, 2.182242, 2.159238, 2.141485, 2.112736, 2.07094, 2.01875, 
    1.957811, 1.894222, 1.834026, 1.779278, 1.728026, 1.692622, 1.687964, 
    1.697762, 1.712111, 1.725659, 1.732808, 1.732007, 1.725255, 1.707805, 
    1.670408, 1.61726, 1.558857, 1.498504, 1.446501, 1.407499, 1.375148, 
    1.347897, 1.328045, 1.316495, 1.309844, 1.306943, 1.304693, 1.302993, 
    1.300943, 1.298843, 1.294943, 1.281993, 1.249793, 1.206693, 1.166543, 
    1.137994, 1.121346, 1.126099, 1.156403, 1.201507, 1.27321, 1.389762, 
    1.536662, 1.695258, 1.870304, 2.064547, 2.207489, 2.292734, 2.383227, 
    2.491669, 1.807723, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0.2890606, 0.9920474, 1.081833, 0.1108093, 0, 0, 0, 0, 0, 0, 0, 
    0.1469958, 1.461547, 2.125977, 2.788329, 2.755873, 2.716268, 2.670012, 
    2.624105, 2.582894, 2.563087, 2.559237, 2.554688, 2.54489, 2.531443, 
    2.514744, 2.499095, 2.238747, 0, 0, 0, 0, 0, 0, 0, 1.25679, 2.509147, 
    2.501747, 2.487346, 2.464595, 2.436393, 2.406491, 2.367838, 2.318285, 
    1.605438, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4861813, 0.9747053, 0.9717563, 
    0.9579597, 0.9338146, 0.9071696, 0.884022, 0.8605248, 0.8224775, 
    0.7813294, 0.3805147, 0, 0.6689251, 0.7700263, 0.810024, 0.8552731, 
    0.9050717, 0.9664226, 1.023023, 1.074375, 1.123028, 1.163481, 1.193533, 
    1.218687, 1.24174, 1.260293, 1.274294, 1.285146, 1.293897, 1.300397, 
    1.305047, 1.307598, 1.308948, 1.309048, 1.309048, 1.308699, 1.308499, 
    1.308048, 1.308048, 1.307698, 1.307549, 1.307549, 1.307549, 1.307549, 
    1.307549, 1.307549, 1.306798, 1.304648, 1.300898, 1.295047, 1.288297, 
    1.280146, 1.269445, 1.257044, 1.244292, 1.23119, 1.218989, 1.206538,
  1.140027, 1.132324, 1.116368, 1.098162, 1.079257, 1.056502, 1.027747, 
    0.9957939, 0.9687432, 0.9493956, 0.9379508, 0.9340073, 0.9350142, 
    0.938122, 0.9430284, 0.9486833, 0.9550347, 0.9610347, 0.9651839, 
    0.9706806, 0.9775277, 0.9854242, 0.9967706, 1.011918, 1.027019, 1.039671, 
    1.050775, 1.058379, 1.063783, 1.070235, 1.079835, 1.087385, 1.091034, 
    1.090482, 1.08828, 1.082879, 1.076028, 1.068479, 1.058131, 1.049335, 
    1.046539, 1.050742, 1.063797, 1.08155, 1.097804, 1.111959, 1.125314, 
    1.141419, 1.161324, 1.188929, 1.232034, 1.291886, 1.363587, 1.448584, 
    1.549681, 1.651125, 1.735567, 1.811609, 1.882498, 1.942384, 1.989277, 
    2.033373, 1.147587, 0.7420005, 0, 0, 0, 0.3305807, 1.100188, 1.092149, 
    0.1089453, 0, 0, 0, 1.108054, 2.203478, 2.187723, 2.171273, 2.140026, 
    2.09203, 2.027238, 1.9495, 1.868713, 1.797723, 1.738029, 1.689876, 
    0.9223706, 0.839889, 0.8454469, 1.458448, 1.73243, 1.741079, 1.74148, 
    1.73523, 1.714435, 1.668794, 1.609251, 1.547608, 1.490457, 1.442904, 
    1.407001, 1.377049, 1.352347, 1.334496, 1.324245, 1.318194, 1.315894, 
    1.313694, 1.312244, 1.310444, 1.308344, 1.304594, 1.291994, 1.260143, 
    1.216694, 1.175595, 1.144747, 1.1244, 1.123504, 1.14676, 1.185515, 
    1.25227, 1.365472, 1.512123, 1.673522, 1.85347, 2.054767, 2.206513, 
    2.29776, 2.395657, 2.512204, 1.826302, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.05197358, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6974875, 1.385161, 2.579076, 
    2.684675, 2.649266, 2.616656, 2.591145, 2.581738, 2.578238, 2.571589, 
    2.55879, 2.542292, 2.524493, 2.506695, 2.243846, 0, 0, 0, 0, 0, 0, 0, 
    0.1258281, 1.633946, 2.506746, 2.493545, 2.473094, 2.447791, 2.421988, 
    2.387785, 2.34353, 1.624685, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3376207, 
    0.8712561, 0.4860381, 0.7223474, 0.9446586, 0.915011, 0.8798678, 
    0.8522716, 0.8260725, 0.7844747, 0.7411258, 0.5320193, 0.1027541, 
    0.6344222, 0.7339233, 0.7777702, 0.8244191, 0.8744204, 0.9347708, 
    0.9902716, 1.039472, 1.084975, 1.121577, 1.147779, 1.168382, 1.186835, 
    1.202037, 1.213289, 1.22244, 1.229941, 1.235592, 1.239293, 1.241243, 
    1.242443, 1.242543, 1.242294, 1.241693, 1.241493, 1.241044, 1.241044, 
    1.240693, 1.240094, 1.240044, 1.240044, 1.240044, 1.239595, 1.239545, 
    1.239045, 1.237494, 1.233994, 1.229193, 1.223292, 1.216691, 1.20749, 
    1.197139, 1.186787, 1.175736, 1.165934, 1.155632,
  1.105024, 1.101521, 1.093366, 1.08296, 1.071005, 1.054501, 1.032146, 
    1.005043, 0.979491, 0.9570931, 0.9388977, 0.9269028, 0.9192587, 
    0.9130144, 0.9096701, 0.9097732, 0.9137751, 0.919875, 0.9267219, 
    0.9359199, 0.946018, 0.9575162, 0.9721651, 0.9887652, 1.002517, 1.012069, 
    1.018272, 1.020526, 1.021529, 1.026379, 1.036428, 1.045975, 1.052272, 
    1.05472, 1.054768, 1.051317, 1.045516, 1.036567, 1.02252, 1.008325, 
    0.9992797, 0.9972355, 1.00349, 1.016045, 1.02605, 1.033605, 1.039711, 
    1.047767, 1.060573, 1.081078, 1.117284, 1.173137, 1.243089, 1.330188, 
    1.436434, 1.546378, 1.640322, 1.727963, 1.814751, 1.891939, 1.460766, 
    1.010015, 0.1016024, 0, 0, 0, 0.1088862, 1.419061, 2.18353, 2.163536, 
    1.167921, 1.062302, 0.5356939, 0, 1.117004, 2.233678, 2.224973, 2.208223, 
    2.173425, 2.11958, 2.044487, 1.951198, 1.852361, 1.765573, 1.698529, 
    1.656322, 0.164852, 0, 0.4368427, 1.486737, 1.764223, 1.773723, 1.773973, 
    1.765126, 1.735584, 1.676744, 1.607002, 1.53516, 1.47901, 1.436455, 
    1.404253, 1.37765, 1.355798, 1.339796, 1.330746, 1.325545, 1.323445, 
    1.321694, 1.320244, 1.318444, 1.316345, 1.312295, 1.298996, 1.266797, 
    1.222099, 1.178352, 1.144254, 1.119607, 1.111414, 1.12612, 1.158525, 
    1.219279, 1.329032, 1.474133, 1.635783, 1.817034, 2.020983, 2.17728, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.34262, 2.647329, 2.631759, 2.613399, 
    2.60169, 2.598887, 2.595487, 2.587538, 2.572739, 2.553841, 2.533993, 
    2.513795, 2.248497, 0, 0, 0, 0, 0, 0, 0, 0, 0.3775163, 1.883442, 
    2.500445, 2.482542, 2.46014, 2.439736, 2.410932, 2.373626, 1.647432, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.6723558, 0.8620574, 0, 0.2388583, 0.7904729, 
    0.8981636, 0.8551183, 0.8215233, 0.794224, 0.7501255, 0.7059256, 
    0.6780255, 0.4254195, 0.6374218, 0.7036708, 0.7507692, 0.7992675, 
    0.8476686, 0.9079683, 0.9622691, 1.01062, 1.05392, 1.087473, 1.110774, 
    1.127777, 1.14198, 1.154432, 1.163283, 1.170735, 1.176936, 1.181287, 
    1.184038, 1.185738, 1.186488, 1.186538, 1.186288, 1.185688, 1.185488, 
    1.184888, 1.184538, 1.184538, 1.183638, 1.183538, 1.183538, 1.183189, 
    1.182588, 1.182388, 1.181539, 1.180339, 1.177089, 1.173338, 1.168288, 
    1.162538, 1.154986, 1.146585, 1.138034, 1.129132, 1.121431, 1.113379,
  1.07652, 1.076168, 1.074364, 1.070309, 1.064006, 1.053151, 1.036147, 
    1.013794, 0.9899929, 0.9658434, 0.9423968, 0.9244009, 0.9105048, 
    0.898358, 0.8893611, 0.8863127, 0.8890128, 0.8955621, 0.905211, 
    0.9175082, 0.9297568, 0.9427063, 0.9580065, 0.9731587, 0.9842615, 
    0.9904644, 0.991769, 0.9892724, 0.9877735, 0.9925732, 1.005021, 1.018517, 
    1.028764, 1.034461, 1.037259, 1.036106, 1.030757, 1.019808, 1.001362, 
    0.9808173, 0.9655223, 0.9561777, 0.9550341, 0.9610398, 0.9645445, 
    0.9649007, 0.9636064, 0.9633129, 0.968569, 0.9815254, 1.009183, 1.059838, 
    1.124843, 1.212244, 1.322642, 1.439537, 1.540832, 1.638975, 1.741662, 
    1.559837, 0.4757544, 0, 0, 0, 0, 0, 0.2165025, 2.161577, 2.144031, 
    2.119133, 2.103427, 2.114222, 1.067259, 0, 1.122419, 2.262278, 2.259474, 
    2.243373, 2.205276, 2.14558, 2.061986, 1.954248, 1.7505, 0.8763395, 
    1.246938, 1.62842, 0.8973826, 0.844956, 1.31505, 1.78062, 1.802068, 
    1.811219, 1.810471, 1.796775, 1.757831, 1.686241, 1.605001, 1.522709, 
    1.465761, 1.428008, 1.399754, 1.376752, 1.357799, 1.344097, 1.336246, 
    1.331895, 1.329995, 1.328695, 1.326995, 1.324946, 1.322446, 1.317896, 
    1.302249, 1.2684, 1.221952, 1.174954, 1.137007, 1.107112, 1.091318, 
    1.097025, 1.122781, 1.178634, 1.284587, 1.42719, 1.586793, 1.766345, 
    1.969797, 2.127847, 2.221299, 2.322101, 2.312902, 0.8991758, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8032436, 0.8924928, 0.668599, 
    0.1334115, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2603036, 2.609479, 
    2.623753, 2.62019, 2.615439, 2.615337, 2.613235, 2.604486, 2.586889, 
    2.56609, 2.543492, 2.520894, 2.252746, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6287469, 1.253988, 2.366892, 2.473489, 2.458984, 2.437827, 1.319053, 
    0.8311679, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3347808, 0.8523076, 0.3281281, 0, 
    0.6366584, 0.8795152, 0.8298208, 0.7905246, 0.7606779, 0.7138808, 
    0.6692812, 0.6417806, 0.6279283, 0.6397262, 0.6744744, 0.7230238, 
    0.7736722, 0.8227699, 0.8839688, 0.9382678, 0.986268, 1.028369, 1.060019, 
    1.081271, 1.095523, 1.106974, 1.116826, 1.123528, 1.129179, 1.13393, 
    1.137131, 1.139531, 1.140882, 1.141481, 1.141381, 1.141032, 1.140681, 
    1.140082, 1.139732, 1.139032, 1.139032, 1.138132, 1.137882, 1.137533, 
    1.137182, 1.136533, 1.135883, 1.135033, 1.133483, 1.130133, 1.126833, 
    1.122033, 1.116883, 1.110932, 1.103881, 1.097029, 1.090178, 1.084027, 
    1.078774,
  1.054017, 1.055765, 1.058362, 1.058859, 1.056507, 1.049954, 1.037201, 
    1.018748, 0.9962471, 0.9716472, 0.9453983, 0.9239996, 0.9065017, 
    0.8914531, 0.8804033, 0.8763033, 0.8792529, 0.8867519, 0.8982002, 0.9123, 
    0.9252504, 0.9378514, 0.9518535, 0.9636069, 0.9707605, 0.9733635, 
    0.9698666, 0.9636692, 0.9607705, 0.9669683, 0.9830151, 1.000562, 
    1.015258, 1.025054, 1.031201, 1.0321, 1.0265, 1.013901, 0.9903557, 
    0.9636605, 0.9420159, 0.9259713, 0.9170277, 0.9156839, 0.9135385, 
    0.9071931, 0.8981002, 0.8898568, 0.8873132, 0.8917708, 0.9115759, 
    0.9534351, 1.011342, 1.096545, 1.207895, 1.329243, 1.43534, 1.541784, 
    1.658823, 1.487507, 0.4415093, 0, 0, 0, 0, 0, 1.063676, 2.130824, 
    2.110274, 2.086221, 2.077664, 2.094211, 1.598848, 0.3239066, 0.1139405, 
    1.484428, 2.286982, 2.27223, 2.231632, 2.166586, 2.075492, 1.283777, 
    0.9146934, 0.8429856, 1.216323, 1.606765, 1.629806, 1.696393, 1.766234, 
    1.81158, 1.83398, 1.841781, 1.838734, 1.820287, 1.773294, 1.691751, 
    1.599259, 1.508864, 1.451512, 1.418208, 1.394255, 1.374852, 1.358749, 
    1.347198, 1.340997, 1.337246, 1.335496, 1.334046, 1.332246, 1.330096, 
    1.327446, 1.321847, 1.303, 1.267352, 1.218504, 1.169056, 1.127259, 
    1.091763, 1.06822, 1.064778, 1.083534, 1.134488, 1.235643, 1.373997, 
    1.528802, 1.703558, 1.902214, 2.058367, 2.145824, 2.241682, 2.107129, 0, 
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    1.69096, 2.628489, 2.634087, 2.631335, 2.632135, 2.630986, 2.621087, 
    2.600539, 2.193286, 1.276384, 1.264464, 1.129439, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.5963231, 0.6111701, 0.6484179, 0.6980168, 0.7497168, 0.8009655, 
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    1.078472, 1.087023, 1.092772, 1.097822, 1.101472, 1.103973, 1.105774, 
    1.106524, 1.107424, 1.107224, 1.106524, 1.106524, 1.105624, 1.105224, 
    1.104524, 1.104175, 1.103525, 1.102875, 1.102275, 1.102025, 1.101025, 
    1.099726, 1.098527, 1.096277, 1.093027, 1.089328, 1.084777, 1.080227, 
    1.074977, 1.069176, 1.063775, 1.058723, 1.054122, 1.05152,
  1.036014, 1.039513, 1.044861, 1.047959, 1.048008, 1.043857, 1.034154, 
    1.018203, 0.9970018, 0.9719524, 0.9448029, 0.9217044, 0.9032539, 
    0.8876035, 0.8765033, 0.8733017, 0.8767514, 0.8854502, 0.8990483, 
    0.9137973, 0.9259982, 0.936451, 0.9468551, 0.9545587, 0.9575123, 
    0.9562659, 0.9494185, 0.9405705, 0.9365212, 0.9447199, 0.9645666, 
    0.9866122, 1.005758, 1.019655, 1.029552, 1.03225, 1.026999, 1.013699, 
    0.986301, 0.9543055, 0.9267601, 0.9044654, 0.8889704, 0.880676, 
    0.8730308, 0.8611857, 0.8446414, 0.8288977, 0.8193033, 0.8170571, 
    0.8306129, 0.8621712, 0.9128271, 0.9939312, 1.104083, 1.227781, 1.338326, 
    1.448526, 1.57013, 1.425076, 0.4430297, 0, 0, 0, 0, 0, 1.907663, 
    2.108315, 2.088513, 2.068709, 2.065955, 2.086253, 2.13825, 1.426577, 
    1.136343, 1.500668, 2.310728, 2.297576, 1.238374, 1.089517, 1.042084, 
    0.9765021, 0.9846632, 1.679067, 1.614262, 1.593558, 1.624503, 1.702097, 
    1.780243, 1.827943, 1.848995, 1.854697, 1.84875, 1.826353, 1.773256, 
    1.684312, 1.585016, 1.492016, 1.437562, 1.408758, 1.389004, 1.373101, 
    1.359699, 1.350147, 1.345246, 1.342096, 1.340496, 1.338896, 1.336996, 
    1.334746, 1.331847, 1.324448, 1.30275, 1.264953, 1.213954, 1.161807, 
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    1.315853, 1.46356, 1.629819, 1.818331, 1.965294, 2.042604, 2.12517, 
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    1.249048, 1.247946, 1.246143, 0.1245692, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.6024237, 0.4402688, 0.4888154, 0.5920625, 0.6314111, 0.6805133, 
    0.7310153, 0.7826659, 0.8408676, 0.8922707, 0.9380727, 0.9794728, 
    1.011222, 1.031022, 1.043471, 1.05347, 1.06217, 1.068769, 1.075017, 
    1.078916, 1.080817, 1.082017, 1.082866, 1.083467, 1.083367, 1.083016, 
    1.082667, 1.082066, 1.081716, 1.080766, 1.080166, 1.079517, 1.078866, 
    1.078017, 1.077167, 1.075968, 1.073918, 1.071769, 1.068919, 1.06542, 
    1.060821, 1.056272, 1.051722, 1.046971, 1.041971, 1.038019, 1.034419, 
    1.031168, 1.030466,
  1.020015, 1.024564, 1.031364, 1.035763, 1.037262, 1.03491, 1.027108, 
    1.012657, 0.992756, 0.9676056, 0.9402056, 0.9162055, 0.8982551, 0.883454, 
    0.873502, 0.8716013, 0.876, 0.8859987, 0.9009982, 0.915849, 0.9260018, 
    0.9333547, 0.9389092, 0.9421638, 0.9412671, 0.9361705, 0.926473, 
    0.9160737, 0.9120232, 0.9212725, 0.9441703, 0.970517, 0.9935138, 
    1.011609, 1.025007, 1.030054, 1.026003, 1.013202, 0.984602, 0.9489042, 
    0.917257, 0.8898109, 0.8689157, 0.8549703, 0.8425241, 0.8255286, 
    0.8030834, 0.7805893, 0.7642959, 0.7567517, 0.7620609, 0.7843693, 
    0.8275768, 0.9019351, 1.006843, 0.958115, 0.9561288, 1.352049, 1.393494, 
    0.564193, 0, 0, 0, 0, 0, 0, 1.896407, 2.096107, 2.078754, 2.063151, 
    2.06295, 2.085049, 2.139498, 2.210394, 2.281291, 2.320938, 2.333482, 
    2.323976, 1.260439, 1.106696, 1.052796, 1.653627, 1.798255, 1.667254, 
    1.608249, 1.590897, 1.624098, 1.705048, 1.784001, 1.830403, 1.849056, 
    1.852607, 1.844009, 1.818612, 1.762064, 1.668217, 1.567266, 1.475764, 
    1.42556, 1.401006, 1.384753, 1.372, 1.361198, 1.353946, 1.349995, 
    1.347445, 1.345945, 1.344045, 1.342245, 1.339395, 1.335796, 1.326847, 
    1.30275, 1.262552, 1.209854, 1.155205, 1.107258, 1.063161, 1.025967, 
    1.004774, 1.007781, 1.046137, 1.132597, 1.255107, 1.392818, 1.546631, 
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    0.2827588, 0.1977656, 0.5523106, 0.6194605, 0.6662625, 0.7141152, 
    0.7641176, 0.82012, 0.8687717, 0.9125235, 0.953075, 0.985225, 1.005524, 
    1.019173, 1.030471, 1.040619, 1.049017, 1.057065, 1.063262, 1.06596, 
    1.067759, 1.069208, 1.069957, 1.070007, 1.070007, 1.069657, 1.069457, 
    1.068857, 1.068006, 1.067506, 1.066557, 1.065707, 1.064507, 1.063307, 
    1.061408, 1.05826, 1.055261, 1.051562, 1.046514, 1.041014, 1.035266, 
    1.030217, 1.025467, 1.020618, 1.017268, 1.014268, 1.012167, 1.012766,
  1.002518, 1.007419, 1.014917, 1.020566, 1.023265, 1.022464, 1.016163, 
    1.00346, 0.9847592, 0.9601088, 0.9322596, 0.9083594, 0.8910087, 
    0.8775073, 0.8694058, 0.8685547, 0.874503, 0.885702, 0.9013513, 
    0.9147533, 0.9222553, 0.9262589, 0.9269136, 0.9251186, 0.9202728, 
    0.9115763, 0.899578, 0.8887281, 0.8855272, 0.8963249, 0.9207742, 
    0.9497724, 0.9760194, 0.9980664, 1.014963, 1.02251, 1.020258, 1.008557, 
    0.9805557, 0.9444541, 0.9107553, 0.8802072, 0.8549107, 0.8365645, 
    0.820268, 0.7990714, 0.7715263, 0.743381, 0.7217844, 0.7078907, 
    0.7045478, 0.717607, 0.7518166, 0.816826, 0.8645288, 0.5227604, 
    0.8465512, 1.23687, 0.6918089, 0, 0, 0, 0, 0, 0, 0, 1.895445, 2.094746, 
    2.078247, 2.064546, 2.066393, 2.089841, 2.146488, 2.222034, 2.294084, 
    2.338928, 2.363461, 2.363149, 2.324291, 2.24829, 2.138943, 1.98935, 
    1.814962, 1.685411, 1.627215, 1.603329, 1.629242, 1.704553, 1.778011, 
    1.820316, 1.83582, 1.838969, 1.830017, 1.804266, 1.745667, 1.650716, 
    1.550765, 1.462362, 1.416557, 1.396253, 1.38275, 1.372399, 1.364146, 
    1.358745, 1.355744, 1.353793, 1.351994, 1.350044, 1.347994, 1.344894, 
    1.340345, 1.330246, 1.303499, 1.261351, 1.207301, 1.150603, 1.100006, 
    1.052559, 1.009864, 0.9813202, 0.9765282, 1.007436, 1.083945, 1.194109, 
    1.318822, 1.456839, 1.609259, 1.718479, 1.774388, 1.824002, 1.872622, 
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    0.5567663, 0.5047675, 0, 0, 1.072363, 1.674439, 2.65801, 2.663008, 
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    0, 0, 0, 0, 0, 0, 0, 0.02865556, 0.3645445, 0.2732592, 0, 0.5149589, 
    0.6080112, 0.6522641, 0.6965182, 0.7436214, 0.7971736, 0.8437757, 
    0.8854778, 0.9251282, 0.9573779, 0.9787768, 0.9942248, 1.007572, 
    1.020869, 1.032265, 1.042962, 1.052209, 1.057406, 1.061004, 1.063902, 
    1.06595, 1.067148, 1.067497, 1.067497, 1.067397, 1.066497, 1.065997, 
    1.065497, 1.064497, 1.063197, 1.061997, 1.060098, 1.057349, 1.05295, 
    1.048751, 1.043503, 1.036555, 1.029557, 1.022009, 1.015162, 1.009014, 
    1.003315, 0.9990165, 0.9957672, 0.9936684, 0.9944184,
  0.9815234, 0.9867727, 0.9954215, 1.00222, 1.00577, 1.006169, 1.001666, 
    0.990765, 0.9732638, 0.9494625, 0.9213122, 0.8975123, 0.8807617, 
    0.8689098, 0.8624081, 0.8628569, 0.8700061, 0.8820554, 0.8981552, 
    0.9098067, 0.9150092, 0.9156623, 0.9114172, 0.9044226, 0.895277, 
    0.8833299, 0.8696315, 0.8583822, 0.856281, 0.8688798, 0.8943285, 
    0.9248771, 0.9532759, 0.977824, 0.9983705, 1.008767, 1.009014, 0.9991118, 
    0.9730592, 0.9384578, 0.9045071, 0.8730071, 0.8453583, 0.8236611, 
    0.8040143, 0.7794674, 0.7479705, 0.7153246, 0.689779, 0.6698348, 
    0.6588928, 0.6625523, 0.6868126, 0.7418728, 0.7350759, 0.294933, 
    1.023112, 0.739438, 0.06007198, 0, 0, 0, 0, 0, 0, 0, 1.055917, 2.097499, 
    2.078753, 2.064903, 2.067804, 2.092104, 2.152001, 2.232196, 2.306741, 
    2.359481, 2.404707, 2.420187, 2.391774, 1.973573, 1.631345, 2.050478, 
    1.868181, 1.739132, 1.674441, 1.63356, 1.643779, 1.704846, 1.768508, 
    1.804515, 1.816668, 1.820917, 1.813765, 1.788765, 1.729315, 1.635164, 
    1.537511, 1.452458, 1.410954, 1.394001, 1.382999, 1.374447, 1.368545, 
    1.364394, 1.362243, 1.360793, 1.358992, 1.356893, 1.354243, 1.350894, 
    1.345395, 1.334296, 1.305497, 1.261998, 1.2068, 1.148501, 1.095503, 
    1.044956, 0.9977103, 0.9625171, 0.9502739, 0.9733814, 1.040192, 1.137155, 
    1.24732, 1.367988, 1.499509, 1.588679, 1.636386, 1.673946, 1.704662, 
    1.71688, 0.8563451, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4525, 
    0.905, 0.0905, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.112856, 1.236491, 
    0.4081678, 0, 2.122604, 2.535493, 1.979872, 1.332205, 1.32945, 1.330502, 
    1.331454, 1.327145, 0.1325191, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0.08071389, 0.2635102, 0.2607683, 0.5289122, 0.5927693, 0.6337729, 
    0.6740766, 0.7185786, 0.7697311, 0.8145326, 0.8547832, 0.8941835, 
    0.9273319, 0.9505295, 0.9677778, 0.9830765, 0.9984761, 1.012524, 
    1.026921, 1.039666, 1.047514, 1.053262, 1.05831, 1.062557, 1.066753, 
    1.06925, 1.070347, 1.070447, 1.069846, 1.069246, 1.068647, 1.067497, 
    1.066197, 1.064747, 1.061898, 1.0579, 1.05265, 1.046753, 1.039455, 
    1.030507, 1.02111, 1.011512, 1.001915, 0.9935173, 0.9860193, 0.9805203, 
    0.9760721, 0.9727734, 0.9734234,
  0.9570277, 0.9626277, 0.9719276, 0.9793773, 0.9837761, 0.9853747, 
    0.9830725, 0.9737207, 0.9580181, 0.935317, 0.907816, 0.8846646, 
    0.8685139, 0.8583124, 0.8534605, 0.8556582, 0.8637569, 0.8760571, 
    0.8916584, 0.9022092, 0.9050117, 0.902565, 0.8938194, 0.8813754, 
    0.8680298, 0.8529334, 0.837186, 0.825187, 0.8242856, 0.8380844, 
    0.8643839, 0.8961827, 0.9260309, 0.9527283, 0.9763754, 0.9900217, 
    0.9930192, 0.9855166, 0.9620637, 0.9300597, 0.8977569, 0.8665064, 
    0.8378075, 0.8139092, 0.7915117, 0.7642143, 0.729917, 0.6939198, 
    0.6645234, 0.6393285, 0.6211854, 0.6151462, 0.6290575, 0.672721, 
    0.4202417, 0.5324089, 0.6943337, 0.1513714, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.053502, 2.095605, 2.074257, 2.059907, 2.062308, 2.086856, 2.150502, 
    2.235846, 2.315691, 2.379328, 2.451446, 2.489967, 2.356455, 0.8351235, 
    1.116448, 2.134896, 1.951245, 1.821945, 1.747406, 1.68583, 1.673808, 
    1.714084, 1.765248, 1.794007, 1.802312, 1.805565, 1.799016, 1.773916, 
    1.714915, 1.622911, 1.528507, 1.447053, 1.4089, 1.394597, 1.385745, 
    1.378644, 1.374043, 1.371042, 1.369492, 1.368291, 1.366892, 1.364391, 
    1.361242, 1.357043, 1.350395, 1.338146, 1.308247, 1.263649, 1.207798, 
    1.148699, 1.094, 1.040703, 0.9891574, 0.948512, 0.9302676, 0.9466739, 
    1.003584, 1.088197, 1.184062, 1.288328, 1.400596, 1.4786, 1.520854, 
    1.550509, 1.569967, 1.569425, 1.149026, 0.2215275, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.1432445, 0.6999722, 0.5941629, 0.0453463, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.2507153, 0.5272755, 1.160592, 1.194821, 0.4098704, 
    0.7128297, 1.152163, 1.259775, 0.6533875, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2537601, 0.514168, 0.5389682, 
    0.5733712, 0.6105255, 0.6469799, 0.6886339, 0.7376358, 0.7810372, 
    0.8209372, 0.8611853, 0.8959334, 0.9215309, 0.9397806, 0.9559799, 
    0.9716297, 0.9865298, 1.002131, 1.01768, 1.028626, 1.036523, 1.043721, 
    1.051117, 1.059313, 1.066007, 1.070602, 1.073297, 1.073197, 1.072497, 
    1.071797, 1.070497, 1.069047, 1.066998, 1.063549, 1.05795, 1.051353, 
    1.043754, 1.034406, 1.02251, 1.010013, 0.998016, 0.9863678, 0.975121, 
    0.965723, 0.958775, 0.9532255, 0.9488266, 0.9489277,
  0.9290333, 0.9342842, 0.9434344, 0.9510344, 0.9560344, 0.9585837, 
    0.9580821, 0.9508293, 0.9375267, 0.9172225, 0.8918189, 0.8703166, 
    0.8550155, 0.8463637, 0.8434612, 0.8474597, 0.8565089, 0.8687088, 
    0.8826612, 0.8912649, 0.8920167, 0.8868193, 0.8742234, 0.856828, 
    0.8390334, 0.8201879, 0.80224, 0.7894908, 0.7897894, 0.8044389, 
    0.8309888, 0.8638378, 0.8947872, 0.9239843, 0.9504311, 0.9672779, 
    0.9732739, 0.9687699, 0.9486155, 0.9203116, 0.8907583, 0.8608559, 
    0.8317557, 0.806457, 0.7820089, 0.7526608, 0.717859, 0.6812575, 
    0.6502572, 0.6217093, 0.5969668, 0.5809278, 0.4413579, 0.3203607, 
    0.1047321, 0.6308983, 0.2102163, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.056231, 
    2.085667, 2.062519, 2.048118, 2.051915, 2.07926, 2.147504, 2.2378, 
    2.323193, 2.396884, 2.49496, 2.558734, 2.315778, 0, 1.165944, 2.233191, 
    2.050888, 1.919692, 1.837897, 1.757164, 1.717446, 1.732276, 1.766748, 
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    1.523254, 1.44565, 1.410347, 1.398045, 1.390494, 1.384344, 1.380093, 
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  0.8287113, 0.8196114, 0.8016617, 0.7833142, 0.7684657, 0.7557172, 
    0.7444645, 0.737465, 0.7369657, 0.7434622, 0.7593108, 0.784753, 
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    0.8790894, 0.8627443, 0.8474014,
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    0.9468589, 1.029511, 1.11841, 1.198623, 1.254399, 1.289523, 1.302303, 
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    0.5193647,
  0.43072, 0.4205724, 0.40082, 0.3827654, 0.3699577, 0.3606452, 0.3628257, 
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    0.6433673, 0.6389079, 0.6531065, 0.6818534, 0.7218533, 0.7727058, 
    0.8363603, 0.9091148, 0.9861225, 1.066983, 1.153302, 1.228226, 1.276699, 
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    0.4796599, 0.4564165,
  0.372196, 0.362391, 0.3452743, 0.3407799, 0.3409927, 0.3454056, 0.3701637, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1724176, 0.8683627, 1.162, 1.162, 
    1.162, 0.8746372, 0.1761824, 0, 0, 0, 0, 0.05717578, 0.571461, 0.570274, 
    0.9745187, 1.145777, 1.140313, 1.132199, 1.121985, 1.112714, 1.102594, 
    0.821718, 0.5419334, 0.0540598, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.4649173, 0.5173272, 0.5192983, 0.8810148, 1.040805, 1.051674, 
    1.064312, 1.076957, 1.090911, 1.100903, 1.104963, 1.10727, 1.107925, 
    1.104352, 1.095157, 1.079284, 1.060959, 1.042373, 1.028112, 1.017713, 
    1.008812, 1.001809, 0.9994287, 1.002663, 1.011299, 1.02444, 1.044133, 
    1.065948, 1.089536, 1.110875, 1.128768, 1.145953, 1.165494, 1.187146, 
    1.203699, 1.213605, 1.229343, 1.241252, 0.6242084, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09842543, 0.9777256, 0.951858, 0.9235669, 
    0.8913684, 0.8516026, 0.8190579, 1.279313, 1.371835, 0.5061738, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0,
  1.068218, 1.097976, 2.113345, 2.234191, 2.233159, 2.243414, 2.247481, 
    2.245273, 2.241508, 2.244398, 2.115878, 1.084926, 1.071431, 0.3198722, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5633231, 
    0.7631753, 0.7081579, 0.6557109, 0.1901141, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2871979, 0.5743958, 0.5743958, 0.402077, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05743958, 0.750677, 
    1.162, 1.162, 1.10456, 0.5876042, 0.2938021, 0, 0, 0, 0, 0, 0.1156989, 
    1.156537, 1.154483, 1.152429, 1.149927, 1.14642, 1.140707, 1.133241, 
    1.12777, 1.121694, 0.8380747, 0.5540774, 0.0552712, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3667217, 0.5260625, 0.5306642, 
    0.5352659, 0.5395137, 1.019893, 1.078934, 1.081787, 1.08324, 1.084379, 
    1.083868, 1.081736, 1.077134, 1.07137, 1.065468, 1.061267, 1.059866, 
    1.060265, 1.062811, 1.06781, 1.074586, 1.084189, 1.096953, 1.112855, 
    1.128411, 1.143566, 1.156175, 1.165577, 1.174632, 1.185982, 1.200706, 
    1.219869, 1.236185, 1.275584, 1.329167, 1.055357, 0.7861116, 0.7789934, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.104452, 1.178105, 1.135939, 1.101733, 
    1.181306, 2.06637, 2.016443, 1.960924, 1.896862, 1.820663, 1.760795, 
    1.703019, 1.631157, 1.330815, 0.773111, 0.7405356, 0.7025227, 0.6638671, 
    0.638657, 0.6110247, 0.5837384, 0.5782515, 0.2884337, 0, 0, 0, 0, 
    0.402077, 0.5169562, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  2.187676, 2.247185, 2.326288, 2.340937, 2.328501, 2.311958, 2.289353, 
    2.264079, 2.239288, 2.220451, 2.191007, 2.164369, 2.142059, 1.36494, 
    0.9251742, 0, 0, 0, 0, 0, 0, 0, 0.1057173, 1.05821, 1.062607, 1.067003, 
    1.071005, 1.075303, 1.074957, 1.047292, 0.986678, 0.9230994, 0.8657453, 
    1.389172, 1.537527, 1.424548, 1.317855, 0.7944767, 0.5755663, 0.5740348, 
    0.5740348, 0.5740348, 0.5740349, 0.5740348, 0.5740348, 0.5740348, 
    0.5740349, 0.5740348, 0.8680174, 1.162, 1.162, 0.8134, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05879651, 
    0.5879651, 0.5879651, 0.5879651, 0.5291686, 0, 0, 0, 0, 0, 0, 0, 
    0.5747315, 1.158688, 1.157235, 1.155782, 1.153531, 1.151076, 1.147217, 
    1.14265, 1.13984, 1.136534, 0.567217, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3693188, 1.018572, 1.079506, 
    1.082946, 1.08464, 1.086789, 1.087586, 1.088187, 1.08878, 1.088334, 
    1.08664, 1.086693, 1.0892, 1.094546, 1.10234, 1.112434, 1.122174, 
    1.133104, 1.146531, 1.159856, 1.171098, 1.180162, 1.186426, 1.190633, 
    1.193794, 1.20682, 1.227621, 1.261881, 1.297888, 1.361605, 1.442751, 
    1.541613, 1.672354, 1.761992, 1.066015, 1.160173, 1.24361, 0.1263173, 0, 
    0, 0, 0, 0.4145203, 1.364691, 1.324479, 2.413279, 2.440654, 2.359257, 
    2.292922, 2.250915, 2.223308, 2.177932, 2.12591, 2.064936, 1.996296, 
    1.9463, 1.899795, 1.824398, 1.721871, 1.634149, 1.560789, 1.478455, 
    1.393685, 1.330779, 1.260553, 1.187767, 1.170146, 0.8710115, 0.5743312, 
    0.5740349, 0.5740348, 0.5740348, 0.9856104, 0.5865721, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3987122, 
    0.5670694, 0.5634137, 0.5606967, 0.5586712, 0.5577326, 0.5573869, 
    0.5606967, 0.5757639, 0.6222992, 0.6918058, 0.7674382, 0.8465285, 
    0.927249, 1.005895,
  2.145393, 2.203157, 1.407826, 2.300459, 2.287051, 2.261398, 2.231486, 
    2.199387, 2.167855, 2.141232, 2.112565, 2.08956, 2.073298, 2.059473, 
    1.938704, 0.9880685, 0.9925114, 1.000756, 1.012554, 1.025044, 1.035213, 
    1.044346, 1.161785, 2.146296, 2.157664, 2.16765, 2.168543, 2.167765, 
    2.158228, 2.098229, 1.975085, 1.846533, 1.730532, 1.621548, 1.507452, 
    1.399663, 1.299127, 1.210844, 1.164902, 1.162, 1.162, 1.162, 1.162, 
    1.162, 1.162, 1.162, 0.6457262, 0.5883625, 0.5883625, 0.5883625, 
    0.5883625, 0.4118537, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05736375, 0.5736375, 
    0.5736375, 0.5736375, 1.102608, 1.160194, 1.15924, 1.158287, 1.156482, 
    1.154384, 1.151975, 1.149566, 1.147862, 0.9753404, 0.2886115, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3785368, 
    0.5984269, 1.08631, 1.090956, 1.093847, 1.095899, 1.097246, 1.098437, 
    1.099637, 1.099232, 1.096637, 1.09619, 1.098189, 1.104037, 1.112485, 
    1.123677, 1.135561, 1.150136, 1.168349, 1.187057, 1.202264, 1.214114, 
    1.224397, 1.233329, 1.241551, 1.268355, 1.304664, 1.35298, 1.403397, 
    1.483826, 1.582123, 1.693512, 1.830499, 2.022009, 2.219707, 2.401075, 
    2.560744, 1.492032, 1.423529, 1.459764, 1.477339, 1.467317, 1.852938, 
    2.789898, 2.713484, 2.633625, 2.540769, 2.46643, 2.405745, 2.365579, 
    2.339517, 2.298094, 2.249671, 2.192351, 2.130112, 2.086974, 2.048036, 
    1.971893, 1.858207, 1.758082, 1.668146, 0.9358172, 1.462631, 1.372228, 
    1.274789, 1.173227, 1.145817, 1.140817, 1.138608, 1.142747, 1.148671, 
    1.154595, 1.160519, 0.1162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.5162737, 0.5736375, 0.5736375, 0.5736375, 0.5734894, 
    0.5715641, 0.568454, 0.9726256, 1.140001, 1.130824, 1.123893, 1.118361, 
    1.114733, 1.113145, 1.119943, 1.14916, 1.23788, 1.370682, 1.514994, 
    1.666307, 1.82087, 1.973011,
  2.012339, 2.067658, 1.248134, 2.169399, 2.163806, 2.145612, 2.122932, 
    2.096656, 2.069185, 2.045223, 2.018022, 1.994682, 1.978198, 1.964869, 
    1.953519, 1.94862, 1.955005, 1.968746, 1.989982, 2.013605, 2.033613, 
    2.051521, 2.069773, 2.086473, 2.100373, 2.111473, 2.106403, 2.097087, 
    2.079819, 2.019813, 1.904846, 1.784733, 1.675936, 1.572394, 1.464506, 
    1.369627, 1.281601, 1.204784, 1.164552, 1.162, 1.162, 1.162, 1.162, 
    1.162, 1.162, 0.7607616, 0.05888022, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1719593, 0.5731977, 0.5731977, 0.6320779, 1.162, 1.162, 1.162, 1.1619, 
    1.160848, 1.160493, 1.159793, 1.158887, 1.15718, 1.155727, 1.154273, 
    1.096392, 0.4075505, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1089973, 1.091621, 1.096967, 1.100221, 
    1.101973, 1.103573, 1.105473, 1.106328, 1.106229, 1.103525, 1.102726, 
    1.105073, 1.111172, 1.120808, 1.133446, 1.148175, 1.167242, 1.191499, 
    1.216559, 1.238809, 1.259691, 1.280569, 1.300543, 1.321899, 1.363749, 
    1.413959, 1.474187, 1.532027, 1.614379, 1.711995, 1.818129, 1.944582, 
    2.119246, 2.301598, 2.470292, 2.61694, 2.769423, 2.890407, 2.96144, 
    2.995708, 2.97748, 2.903356, 2.832799, 2.765396, 2.69434, 2.610232, 
    2.542337, 2.487051, 2.44973, 2.426061, 2.388237, 2.343412, 2.290129, 
    2.233742, 2.196602, 2.160209, 2.079711, 1.956027, 1.84381, 1.138808, 
    0.1616926, 0.9590918, 1.364874, 1.242637, 1.122983, 1.087253, 1.077764, 
    1.074882, 1.083093, 1.094403, 1.105317, 1.115196, 0.5862518, 0.5257437, 
    0.2621812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.4012384, 0.5731977, 0.5731977, 0.5731977, 0.5731977, 
    0.5731977, 0.5731977, 0.5731977, 0.5731977, 0.05731977, 0, 0, 0, 
    0.05731977, 0.5731977, 0.5731977, 0.5731977, 1.10312, 1.162, 1.162, 
    1.161655, 1.159727, 1.154051, 1.146321, 1.13579, 1.124008, 1.111725, 
    1.102388, 1.09445, 1.087867, 1.085268, 1.091921, 1.118193, 1.196607, 
    1.314105, 1.441463, 1.576167, 1.714465, 1.852755,
  1.896264, 1.946714, 2.018582, 2.042706, 2.040653, 2.025654, 2.00555, 
    1.981151, 1.95466, 1.930623, 1.905544, 1.882873, 1.86611, 1.852146, 
    1.841586, 1.836635, 1.840088, 1.849162, 1.864656, 1.884239, 1.902456, 
    1.918918, 1.937905, 1.956331, 1.97166, 1.984534, 1.983842, 1.978946, 
    1.966249, 1.916413, 1.818494, 1.713449, 1.617864, 1.526488, 1.430365, 
    1.346147, 1.268086, 1.199834, 1.164252, 1.162, 1.162, 1.162, 1.162, 
    1.162, 1.162, 0.3486, 0, 0, 0, 0, 0, 0.1718124, 0.572708, 0.572708, 
    0.572708, 0.572708, 0.572708, 0.572708, 0.572708, 0.572708, 0.572708, 
    0.572708, 0.572708, 0.572708, 0.572708, 0.572708, 0.0572708, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0572708, 0.7494956, 1.162, 1.162, 
    1.162, 1.162, 1.162, 1.162, 1.161949, 1.161493, 1.161493, 1.160793, 
    1.160442, 1.159686, 1.158732, 1.157779, 1.041731, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05537925, 
    0.7173505, 1.100486, 1.103041, 1.104493, 1.105945, 1.107254, 1.107852, 
    1.1078, 1.105548, 1.104993, 1.107593, 1.114286, 1.125774, 1.140457, 
    1.158285, 1.1823, 1.212363, 1.243568, 1.273708, 1.304292, 1.33626, 
    1.367529, 1.401943, 1.452773, 1.509181, 1.573697, 1.630523, 1.706115, 
    1.795511, 1.891615, 2.004893, 2.161229, 2.333858, 2.493393, 2.631908, 
    2.778409, 2.891929, 2.956389, 2.986529, 2.969739, 2.903751, 2.8411, 
    2.781248, 2.717749, 2.641844, 2.580647, 2.531004, 2.49693, 2.475272, 
    2.440554, 2.40194, 2.356463, 2.302814, 2.265954, 2.224914, 2.135043, 
    2.000429, 1.875521, 1.137537, 0.7846889, 0.721787, 0.6874228, 0.619213, 
    0.5548574, 0.5340649, 0.766939, 1.005473, 1.012134, 1.02234, 1.030957, 
    1.037474, 1.035536, 1.031004, 0.756246, 0.4825632, 0.476501, 0.4737409, 
    0.4701923, 0.4673337, 0.4652637, 0.3246495, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.286354, 0.572708, 0.572708, 0.572708, 0.572708, 0.572708, 0.1145416, 
    0.572708, 0.572708, 0.9852123, 1.162, 1.162, 1.162, 1.162, 1.162, 1.162, 
    1.162, 1.162, 0.1734708, 0.572708, 0.572708, 0.572708, 0.6316372, 1.162, 
    1.162, 1.162, 1.162, 1.161852, 1.161014, 1.159131, 1.15425, 1.145468, 
    1.135332, 1.122741, 1.108556, 1.094266, 1.083375, 1.074228, 1.066872, 
    1.064073, 1.069882, 1.093201, 1.162759, 1.266748, 1.379885, 1.500033, 
    1.623984, 1.749767,
  1.779959, 1.823757, 1.886177, 1.906608, 1.903626, 1.887344, 1.866461, 
    1.84787, 1.825743, 1.805027, 1.784932, 1.766735, 1.753053, 1.74217, 
    1.733946, 1.729735, 1.731261, 1.736642, 1.747171, 1.763189, 1.779598, 
    1.794263, 1.813326, 1.83259, 1.849883, 1.866454, 1.871363, 1.872767, 
    1.865977, 1.82661, 1.744742, 1.653729, 1.570827, 1.489702, 1.403233, 
    1.327575, 1.257322, 1.195824, 1.164001, 1.162, 1.162, 1.162, 1.162, 
    1.162, 1.162, 0.7491113, 0.5721591, 0.572159, 0.572159, 0.572159, 
    0.5721591, 0.7491113, 1.162, 1.162, 1.162, 1.162, 1.162, 1.162, 1.162, 
    1.162, 1.162, 1.162, 1.162, 1.162, 1.162, 1.162, 0.6311432, 0.572159, 
    0.572159, 0.572159, 0.5721591, 0.572159, 0.572159, 0.572159, 0.5721591, 
    0.572159, 0.572159, 0.572159, 0.5721591, 0.572159, 0.572159, 0.572159, 
    0.6311432, 1.162, 1.162, 1.162, 1.162, 1.162, 1.162, 1.162, 1.162, 1.162, 
    1.162, 1.161645, 1.161492, 1.16134, 1.160985, 1.160629, 1.044429, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.1675108, 0.5591307, 0.941457, 1.105492, 1.106152, 1.106508, 
    1.106863, 1.106766, 1.104223, 1.104269, 1.10746, 1.115349, 1.128733, 
    1.145716, 1.166544, 1.194816, 1.229732, 1.26684, 1.304293, 1.343877, 
    1.385715, 1.426851, 1.469074, 1.521866, 1.578454, 1.642297, 1.696017, 
    1.766697, 1.850581, 1.939927, 2.044672, 2.192312, 2.356412, 2.501246, 
    2.628203, 2.764998, 2.867244, 2.92188, 2.94465, 2.925033, 2.863506, 
    2.807657, 2.75323, 2.695347, 2.632604, 2.582338, 2.541548, 2.514416, 
    2.497994, 2.467794, 2.436206, 2.398027, 2.34226, 2.292416, 2.237663, 
    2.132511, 1.983687, 1.845934, 1.709904, 1.556845, 1.193743, 0.3171002, 0, 
    0, 0, 0.4754288, 0.9526023, 0.9581084, 0.9669728, 0.9741266, 0.9784911, 
    0.9753464, 0.9689555, 0.9606647, 0.9513291, 0.9382905, 0.9324936, 
    0.9247027, 0.9190012, 0.9145058, 0.766977, 0.4301041, 0.4310396, 
    0.4323198, 0.3033132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.074425, 1.136526, 1.229499, 1.330835, 1.438471, 1.5437, 1.651634,
  1.648124, 1.685281, 1.73816, 1.753265, 1.74636, 1.730975, 1.714238, 
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    1.691105, 1.708223, 1.725686, 1.742306, 1.759626, 1.769291, 1.775808, 
    1.77397, 1.744432, 1.678597, 1.603114, 1.533752, 1.462669, 1.385294, 
    1.315364, 1.250533, 1.193413, 1.163851, 1.162, 1.162, 1.162, 1.162, 
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    0.5904611, 0.5904611, 0.5904611, 0.5904611, 0.5904611, 0.5904611, 
    0.5904611, 0.5904611, 0.5904611, 0.5904611, 0.5904611, 0.5904611, 
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    1.289378, 1.152701, 1.021611, 0.483645, 0.4139762, 0.4082286, 0.4076391, 
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    0.5703901, 0.5701936, 0.5698497, 0.5695059, 0.627491, 1.158096, 1.156307, 
    1.154173, 1.15153, 1.147887, 1.142842, 1.136752, 1.127412, 1.115258, 
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    1.024814, 1.028412, 1.043259, 1.086722, 1.153198, 1.220788, 1.285564, 
    1.343202, 1.408614,
  1.331908, 1.354018, 1.389999, 1.410104, 1.415682, 1.417046, 1.419677, 
    1.425459, 1.426002, 1.426202, 1.427204, 1.429219, 1.432351, 1.43654, 
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    1.195771, 1.151303, 1.114535, 1.100394, 1.105052, 1.11268, 1.122712, 
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    1.075463, 1.077171, 1.078891, 1.079034, 1.076597, 1.077217, 1.082395, 
    1.09408, 1.112417, 1.134906, 1.161595, 1.197683, 1.242679, 1.290368, 
    1.339113, 1.392804, 1.449889, 1.505821, 1.560009, 1.622296, 1.687523, 
    1.758255, 1.81673, 1.891911, 1.972238, 2.05317, 1.398783, 1.149421, 
    1.211625, 1.261398, 1.301186, 1.468634, 2.633889, 2.671304, 2.687614, 
    2.688478, 2.678494, 2.663992, 2.64669, 2.627071, 2.606052, 2.586095, 
    2.565438, 2.549119, 2.528685, 2.491453, 2.451078, 2.400955, 2.32878, 
    2.255802, 2.177925, 2.045308, 1.875578, 1.721189, 1.571701, 1.405612, 
    1.240316, 1.101972, 0.9702725, 0.8546253, 0.8167008, 0.8050008, 
    0.8038009, 0.8111725, 0.8266856, 0.8401516, 0.8469742, 0.4937179, 
    0.8424722, 0.8370382, 0.8312608, 0.8252211, 0.8227645, 0.8149626, 
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    0.789589, 0.7887456, 0.7931589, 0.8053835, 0.8206666, 0.8411232, 
    0.8580667, 0.8700631, 0.8724651, 0.8723217, 0.8774218, 0.8416997, 
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    0.5202774, 0.5217001, 0.5224359, 0.5811925, 1.113779, 1.114171, 1.115937, 
    1.117801, 1.119126, 1.120058, 1.120647, 1.120843, 1.121431, 1.121775, 
    1.122118, 1.122756, 1.123247, 1.123492, 1.12408, 1.124277, 1.124718, 
    1.125209, 1.126386, 1.12668, 1.127122, 1.128643, 1.130163, 1.131226, 
    1.133622, 1.136208, 1.138108, 1.138901, 1.139801, 1.139265, 1.137685, 
    1.136108, 1.133136, 1.128425, 1.12197, 1.112512, 1.100661, 1.087661, 
    1.073261, 1.057661, 1.042361, 1.029661, 1.018717, 1.01037, 1.006323, 
    1.008698, 1.018444, 1.044889, 1.087643, 1.133548, 1.178728, 1.222092, 
    1.269949,
  1.187927, 1.203398, 1.229856, 1.25123, 1.26357, 1.272411, 1.281698, 
    1.288394, 1.2941, 1.298763, 1.303734, 1.308467, 1.313497, 1.318542, 
    1.324693, 1.330905, 1.337762, 1.34532, 1.353783, 1.361799, 1.367314, 
    1.371771, 1.378694, 1.384561, 1.39063, 1.397743, 1.398876, 1.39766, 
    1.391243, 1.366956, 1.324206, 1.276124, 1.231048, 1.18423, 1.137699, 
    1.098406, 1.061965, 1.033224, 1.024507, 1.028511, 1.037066, 1.050521, 
    1.063831, 1.071495, 1.078607, 1.085719, 1.093493, 1.103995, 1.118566, 
    1.12718, 1.132126, 1.137366, 1.142655, 0.7328959, 0.1121006, 0.7438659, 
    1.162, 1.162, 1.162, 1.162, 1.162, 0.7636487, 0.5929267, 0.5929267, 
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    1.036748, 1.042984, 1.044004, 1.04738, 1.05427, 1.067651, 1.086602, 
    1.109604, 1.137149, 1.173898, 1.219392, 1.267349, 1.316692, 1.371039, 
    1.428939, 1.485839, 1.540982, 1.604177, 1.670971, 1.742573, 1.802275, 
    1.054543, 1.008078, 1.049868, 0.320854, 0, 0, 0, 0, 0.2473909, 2.479499, 
    2.500604, 2.51248, 2.518414, 2.520322, 2.513777, 2.504432, 2.493443, 
    2.481053, 2.469063, 2.456373, 2.440583, 2.420851, 2.390878, 2.357749, 
    2.315258, 2.251112, 2.185139, 2.11221, 1.980791, 1.817925, 1.66983, 
    1.52115, 1.355724, 1.191497, 1.053972, 0.9237903, 0.8073047, 0.7651153, 
    0.752044, 0.750844, 0.759793, 0.7777337, 0.7937683, 0.8041742, 0.8064311, 
    0.8062941, 0.8041144, 0.8015774, 0.7995874, 0.7993974, 0.7937053, 
    0.7883847, 0.7840847, 0.7780848, 0.7724398, 0.770995, 0.768795, 
    0.7672481, 0.7654604, 0.7685727, 0.7778566, 0.7894466, 0.8048387, 
    0.8177736, 0.8255106, 0.8233475, 0.8187273, 0.8186786, 0.7853082, 
    0.4420417, 0.2229854, 0, 0, 0, 0.2571731, 0.8444792, 1.003622, 1.015348, 
    1.019669, 1.022932, 1.023354, 1.023493, 1.025811, 1.030929, 1.036149, 
    1.039976, 1.042708, 1.044398, 1.044798, 1.045998, 1.047188, 1.048035, 
    1.048698, 1.049208, 1.049463, 1.050076, 1.049839, 1.050249, 1.05076, 
    1.052327, 1.052829, 1.054464, 1.058739, 1.062672, 1.067388, 1.074598, 
    1.082361, 1.089409, 1.095562, 1.101513, 1.104676, 1.106096, 1.10727, 
    1.106743, 1.103818, 1.098451, 1.090038, 1.078581, 1.066267, 1.05221, 
    1.036806, 1.021946, 1.009246, 0.9982892, 0.9899361, 0.9855891, 0.9860014, 
    0.9920281, 1.006808, 1.029646, 1.056219, 1.083491, 1.115016, 1.146581,
  1.062746, 1.071909, 1.088414, 1.10446, 1.117805, 1.12936, 1.141369, 
    1.15116, 1.159304, 1.166391, 1.173426, 1.179662, 1.186004, 1.191304, 
    1.196964, 1.202515, 1.208526, 1.214895, 1.222011, 1.228136, 1.232105, 
    1.235032, 1.239561, 1.243437, 1.247706, 1.252691, 1.251164, 1.246749, 
    1.237574, 1.212967, 1.177017, 1.137954, 1.101004, 1.061954, 1.024342, 
    0.9944319, 0.9678106, 0.9485473, 0.9460311, 0.9494401, 0.9573979, 
    0.9705979, 0.9838867, 0.9915221, 0.9983643, 1.004864, 1.011024, 1.021229, 
    1.038898, 1.050967, 1.059063, 1.068394, 1.078266, 1.088137, 0.6312606, 
    1.111075, 1.117277, 1.117179, 1.117082, 1.117521, 1.117521, 0.7013499, 
    0.522013, 0.5207422, 0.5193248, 0.5172231, 0.5156589, 0.360277, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5780673, 1.16024, 1.102596, 
    0.5661984, 0.5589156, 0.5502643, 0.532033, 0.3599348, 0, 0, 0, 0, 0, 0, 
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    0.991047, 0.9953555, 1.001129, 1.009702, 1.024344, 1.04383, 1.067072, 
    1.094872, 1.131624, 1.176984, 1.224584, 1.273942, 1.328295, 1.386342, 
    1.443584, 1.499084, 1.562386, 1.628606, 1.699862, 1.162519, 0.09196915, 
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    2.313735, 2.306936, 2.296993, 2.285347, 2.2723, 2.259702, 2.246405, 
    2.229958, 2.211711, 2.189969, 2.165427, 2.133405, 2.087558, 2.039543, 
    1.982085, 1.866165, 1.721096, 1.587235, 1.448099, 1.294606, 1.141628, 
    1.008505, 0.8830821, 0.7689125, 0.7248367, 0.7093592, 0.7054709, 
    0.7117826, 0.7277876, 0.742828, 0.7543527, 0.7586061, 0.7603061, 
    0.7593617, 0.7587594, 0.7584662, 0.7606572, 0.7585725, 0.7557876, 
    0.7533938, 0.7493001, 0.7451597, 0.7448771, 0.7443878, 0.7443008, 
    0.743025, 0.7445963, 0.7513654, 0.7595968, 0.7711372, 0.7805777, 
    0.7850601, 0.6692282, 0.4064229, 0.4050937, 0.3656783, 0, 0, 0.2617397, 
    0.3812455, 0.3916564, 0.4034848, 0.7509827, 0.9153669, 0.9300266, 
    0.9375862, 0.9441037, 0.9467834, 0.9489986, 0.9532408, 0.9595987, 
    0.966152, 0.9708588, 0.97353, 0.9751435, 0.9753481, 0.9759615, 0.9768305, 
    0.9773418, 0.9773418, 0.9773418, 0.9773418, 0.9773418, 0.9763929, 
    0.9757064, 0.9753643, 0.9757221, 0.9764153, 0.9787176, 0.9838755, 
    0.9890176, 0.9956131, 1.005546, 1.016564, 1.027239, 1.037254, 1.046681, 
    1.053196, 1.057269, 1.06104, 1.063111, 1.062095, 1.058279, 1.05131, 
    1.041139, 1.030028, 1.016816, 1.002496, 0.9881939, 0.9759826, 0.9658714, 
    0.9577202, 0.9536601, 0.9532158, 0.9569871, 0.9659786, 0.976546, 
    0.9901959, 1.004204, 1.020992, 1.038624,
  0.9572373, 0.9618306, 0.970361, 0.9790377, 0.9875095, 0.9959813, 1.004655, 
    1.012856, 1.019501, 1.025787, 1.032706, 1.038826, 1.044356, 1.049168, 
    1.05432, 1.059234, 1.064393, 1.06921, 1.074343, 1.078075, 1.079761, 
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    1.484178, 1.507507, 1.537694, 1.58267, 1.638491, 1.703956, 1.769621, 
    1.826542, 1.887318, 1.95733, 2.015352, 2.051935, 2.072781, 2.08863, 
    2.102575, 2.112428, 2.121927, 2.132024, 2.140468, 2.147168, 2.152813, 
    2.155964, 2.113456, 2.023542, 1.900056, 1.750125, 1.588131, 1.435124, 
    1.278963, 1.107801, 0.9491943, 0.8414114, 0.7794362, 0.7457409, 0.728415, 
    0.7248895, 0.7294281, 0.746976, 0.7775801, 0.8218895, 0.8728442, 
    0.9314016, 0.9899442, 1.039883, 0.715077, 0.5770465, 0.5809482, 
    0.5730941, 0.5542443, 0.9656999, 0.971962, 0.9395103, 0.9168587, 
    0.9060604, 0.9106568, 0.9271984, 0.9531758, 0.9864947, 1.0227, 1.056492, 
    1.090984, 1.123524, 1.151593, 0.892445, 0.1862176, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.9981317, 1.479225, 1.5485, 1.613916, 1.680377, 1.751635, 
    1.822081, 1.882949, 1.939636, 1.996838, 2.051111, 2.097698, 2.140795, 
    2.181999, 2.2164, 2.241827, 2.26129, 2.277849, 2.289032, 2.294995, 
    2.296039, 2.284728, 2.245526, 2.168748, 2.067499, 1.944064, 1.823243, 
    1.69853, 1.571018, 1.424876, 1.266243, 1.138167, 1.047143, 0.9649947, 
    0.8763625, 0.7805994, 0.6893815, 0.360671, 0.2863444, 0.2505703, 
    0.07114272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.2069929, 0.7126137, 0.8367447, 0.833739, 0.8311893, 0.8300397, 
    0.8298353, 0.829191,
  0.7213664, 0.7192664, 0.7169221, 0.7157285, 0.7189425, 0.7383185, 
    0.7845643, 0.8433568, 0.9094937, 0.9759761, 1.049228, 1.132627, 1.214064, 
    1.295784, 1.371354, 1.424134, 1.460456, 1.485934, 1.513055, 1.545835, 
    1.568305, 1.585174, 1.608493, 1.634351, 1.674007, 1.723454, 1.780329, 
    1.837909, 1.886735, 1.938342, 1.996529, 2.045593, 2.079931, 2.100277, 
    2.115622, 2.129071, 2.138918, 2.148419, 2.158066, 2.166319, 2.172412, 
    2.177813, 2.181317, 2.144195, 2.065253, 1.956584, 1.822726, 1.67313, 
    1.530621, 1.382486, 1.216921, 1.058935, 0.9479755, 0.8775893, 0.831421, 
    0.8027487, 0.7927411, 0.7921878, 0.8080688, 0.8390701, 0.8846777, 
    0.9362308, 0.9948245, 1.052166, 1.100912, 1.141949, 1.169231, 1.176374, 
    1.161127, 1.125598, 1.081488, 1.044939, 1.020038, 1.004939, 1.001635, 
    1.013837, 1.036222, 1.066298, 1.102872, 1.140079, 1.172773, 1.205812, 
    1.236802, 1.259969, 1.272418, 0.382842, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.05838054, 0.5901853, 0.6159578, 1.122136, 1.38216, 1.449716, 1.516062, 
    1.583109, 1.65496, 1.726527, 1.792373, 1.856482, 1.924975, 1.993234, 
    2.055753, 2.117244, 2.179106, 2.233464, 2.275602, 2.309322, 2.337513, 
    2.35648, 2.365659, 2.364993, 2.348994, 2.304582, 2.225734, 2.125906, 
    2.0068, 1.893016, 1.778513, 1.66192, 1.528935, 1.385568, 1.268539, 
    1.182274, 1.101692, 1.010945, 0.9088237, 0.80913, 0.710578, 0.6191767, 
    0.5463995, 0.3435926, 0.02683581, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.3838533, 0.5479062, 0.5410707, 0.5245641, 0.4903359, 0.4509935, 
    0.4230944, 0.601414, 0.7826224, 0.7624893, 0.7527058, 0.7446829, 
    0.7384145, 0.7328475, 0.7273272,
  0.6300024, 0.6279025, 0.6263567, 0.6350176, 0.6524773, 0.6916454, 
    0.7598206, 0.8408525, 0.9282277, 1.015957, 1.112442, 1.217107, 1.311382, 
    1.400404, 1.479882, 1.536703, 1.576978, 1.6064, 1.637173, 1.674247, 
    1.700068, 1.719936, 1.746051, 1.769663, 1.803839, 1.844282, 1.889969, 
    1.936147, 1.973075, 2.011404, 2.053618, 2.087772, 2.114493, 2.130747, 
    2.144585, 2.156568, 2.166168, 2.175414, 2.185067, 2.193162, 2.198662, 
    2.203808, 2.207608, 2.174833, 2.104228, 2.006685, 1.885804, 1.750832, 
    1.621251, 1.483969, 1.328102, 1.176464, 1.068508, 0.9969274, 0.9460347, 
    0.9116334, 0.8967792, 0.8913708, 0.9044552, 0.9342397, 0.9797313, 
    1.031885, 1.088012, 1.140867, 1.18537, 1.221828, 1.244035, 1.248206, 
    1.232498, 1.197889, 1.155877, 1.125908, 1.108552, 1.100995, 1.104735, 
    1.124324, 1.151954, 1.18623, 1.226199, 1.264555, 1.296249, 1.327589, 
    1.356069, 1.373785, 1.378135, 0.9158874, 0.07180057, 0, 0, 0, 0, 0, 0, 0, 
    0.05695888, 0.5758133, 0.8964588, 1.234038, 1.289746, 1.350608, 1.413419, 
    1.476575, 1.545439, 1.620211, 1.693407, 1.767673, 1.851821, 1.940261, 
    2.025115, 2.114566, 2.209913, 2.298473, 2.37055, 2.431056, 2.481739, 
    2.515907, 2.531608, 2.529404, 2.502925, 2.443151, 2.348001, 2.232897, 
    2.101304, 1.979748, 1.863786, 1.749613, 1.622624, 1.490227, 1.383382, 
    1.302058, 1.225995, 1.138481, 1.036249, 0.9336553, 0.8307517, 0.7372744, 
    0.6660682, 0.6176497, 0.374458, 0.3694769, 0.4194691, 0.4999222, 
    0.6160478, 0.7493266, 0.8887786, 1.038502, 1.210844, 1.385766, 1.551125, 
    1.717901, 1.889584, 2.022762, 2.057878, 2.010821, 1.934871, 1.813129, 
    1.660167, 1.475681, 1.24009, 0.9926593, 0.777207, 0.6315312, 0.5096878, 
    0.3904251, 0.3030905, 0.2409038, 0.1866106, 0.1483575, 0.1135957, 
    0.02960065, 0, 0, 0, 0, 0.004958742, 0.03471119, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2795618, 0.9516933, 
    1.1285, 1.122337, 1.085587, 1.01313, 0.922527, 0.8516906, 0.792283, 
    0.7448004, 0.7025109, 0.6790295, 0.6630564, 0.654142, 0.6459771, 0.6380169,
  0.5591646, 0.5620204, 0.5704789, 0.5976846, 0.6330341, 0.6907836, 
    0.7796502, 0.8820683, 0.9894775, 1.097941, 1.209586, 1.325051, 1.422918, 
    1.515538, 1.598906, 1.659631, 1.70375, 1.73667, 1.77114, 1.811657, 
    1.840824, 1.863338, 1.891547, 1.915439, 1.942531, 1.972416, 2.007303, 
    2.041737, 2.067023, 2.093709, 2.122588, 2.143276, 2.16029, 2.17279, 
    2.185135, 2.195532, 2.204273, 2.212313, 2.22014, 2.226424, 2.23071, 
    2.234297, 2.236377, 2.205374, 2.140193, 2.051236, 1.940891, 1.817803, 
    1.698909, 1.57267, 1.429233, 1.292392, 1.195222, 1.130582, 1.08453, 
    1.053671, 1.040898, 1.037225, 1.051655, 1.081571, 1.124196, 1.174876, 
    1.226648, 1.273271, 1.31033, 1.337919, 1.349338, 1.344666, 1.324827, 
    1.289274, 1.246173, 1.217559, 1.202798, 1.198546, 1.208123, 1.233755, 
    1.266889, 1.305616, 1.349037, 1.388847, 1.419441, 1.44898, 1.474364, 
    1.486584, 1.483344, 1.469942, 0.8254828, 0.7407757, 0.7190819, 0.6864147, 
    0.06776159, 0, 0.2664952, 0.5280347, 0.5232307, 0.5292483, 0.8277394, 
    1.146443, 1.193738, 1.248808, 1.307852, 1.36902, 1.436032, 1.51511, 
    1.595449, 1.681419, 1.783782, 1.897386, 2.012736, 2.139671, 2.284094, 
    2.427621, 2.548509, 2.654327, 2.746626, 2.809995, 2.839958, 2.839734, 
    2.800059, 2.715343, 2.5951, 2.453495, 2.29366, 2.140604, 2.001804, 
    1.872506, 1.737911, 1.606421, 1.500986, 1.415465, 1.337459, 1.250684, 
    1.153878, 1.05638, 0.9584894, 0.872907, 0.8116281, 0.7766032, 0.7812952, 
    0.8308311, 0.9356992, 1.100059, 1.33224, 1.59655, 1.87129, 2.165269, 
    2.502481, 2.841556, 3.160316, 3.479751, 3.806915, 4.060962, 4.122625, 
    4.019764, 3.848021, 3.586789, 3.269369, 2.892835, 2.418942, 1.922711, 
    1.489224, 1.196116, 0.9559226, 0.7343311, 0.5732101, 0.4586034, 
    0.3585852, 0.2888511, 0.2252585, 0.1213565, 0.07559968, 0.0723633, 
    0.07003716, 0.0662951, 0.06643654, 0.0895353, 0.04955698, 0.04384276, 
    0.004247741, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.2385815, 0.3661654, 0.3940791, 0.4161775, 0.4308423, 0.3945342, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.08829234, 0.3170635, 0.3858365, 
    0.4568344, 0.5185784, 0.8394754, 1.170232, 1.214204, 1.22643, 1.195693, 
    1.121477, 1.008214, 0.90922, 0.8240768, 0.7529336, 0.6873512, 0.642179, 
    0.6110767, 0.5915204, 0.5787323, 0.5692244,
  0.598229, 0.6055752, 0.6228182, 0.6585612, 0.7019547, 0.7677482, 0.8660911, 
    0.9781342, 1.09468, 1.213334, 1.329187, 1.447048, 1.546955, 1.642315, 
    1.728933, 1.792895, 1.840261, 1.876428, 1.914094, 1.957256, 1.988815, 
    2.013375, 2.038432, 2.055922, 2.072917, 2.091659, 2.114691, 2.137275, 
    2.15091, 2.165946, 2.182985, 2.197224, 2.210517, 2.222411, 2.233654, 
    2.243348, 2.250996, 2.257589, 2.262783, 2.26748, 2.269974, 2.272121, 
    2.272622, 2.248246, 2.192631, 2.115315, 2.018206, 1.908744, 1.802729, 
    1.68936, 1.559699, 1.436291, 1.34594, 1.28568, 1.243123, 1.215166, 
    1.20416, 1.202253, 1.218495, 1.248229, 1.287111, 1.333333, 1.379549, 
    1.420009, 1.449971, 1.468733, 1.469191, 1.452884, 1.426045, 1.389083, 
    1.346035, 1.316235, 1.300535, 1.295681, 1.307024, 1.335222, 1.372535, 
    1.414747, 1.46121, 1.501556, 1.530545, 1.557427, 1.579608, 1.587085, 
    1.577959, 1.557279, 1.530089, 1.497498, 1.452071, 0.8921289, 0.06627642, 
    0, 0.5348337, 1.050669, 1.025603, 1.023149, 1.032644, 1.056153, 1.091678, 
    1.139882, 1.196411, 1.260324, 1.329233, 1.411996, 1.499487, 1.597854, 
    1.721274, 1.864497, 2.016301, 2.188112, 2.393615, 2.605899, 2.794458, 
    2.967986, 3.124494, 3.234792, 3.289501, 3.296504, 3.243583, 3.129877, 
    2.979892, 2.802555, 2.598049, 2.396367, 2.221113, 2.060214, 1.900231, 
    1.754415, 1.638283, 1.538598, 1.448723, 1.355679, 1.259293, 1.165029, 
    1.076322, 1.001423, 0.951175, 0.9271731, 0.9454324, 1.007436, 1.121622, 
    1.293193, 1.528145, 1.791525, 2.063859, 2.354038, 2.684703, 3.012654, 
    3.317944, 3.620419, 3.927936, 4.166971, 4.216422, 4.097149, 3.889441, 
    3.593081, 3.249408, 2.852566, 2.364653, 1.856855, 1.410649, 1.10972, 
    0.8715855, 0.6740451, 0.532838, 0.4325544, 0.345416, 0.2855097, 
    0.2305486, 0.1902799, 0.1593553, 0.1527026, 0.1481026, 0.1407026, 
    0.1309477, 0.1190972, 0.1068445, 0.09493802, 0.05065143, 0.04169549, 
    0.03916849, 0.03770283, 0.003739959, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.02526999, 0.262252, 0.3004602, 0.571667, 0.7358253, 0.7981514, 
    0.8485227, 0.884194, 0.8647029, 0.4889238, 0.4937756, 0.4982737, 
    0.0499335, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.3205246, 0.4084642, 0.3586823, 0.3257302, 0.3040991, 
    0.2954567, 0.3888895, 0.6429201, 0.774422, 0.9170458, 1.042734, 1.141732, 
    1.226038, 1.288219, 1.321577, 1.311847, 1.252424, 1.135692, 1.026062, 
    0.9285627, 0.8440024, 0.7649819, 0.7064527, 0.6654925, 0.6364398, 
    0.6202893, 0.6096344,
  0.7453172, 0.7523172, 0.7684626, 0.8033606, 0.8455544, 0.9101482, 1.006737, 
    1.11743, 1.233024, 1.351417, 1.466861, 1.585256, 1.685756, 1.781702, 
    1.869851, 1.93485, 1.984003, 2.022309, 2.061611, 2.100961, 2.128158, 
    2.148355, 2.16415, 2.170645, 2.17719, 2.185134, 2.195923, 2.206916, 
    2.214262, 2.223008, 2.234306, 2.246749, 2.258489, 2.269536, 2.279682, 
    2.288528, 2.295221, 2.300867, 2.305215, 2.308806, 2.310453, 2.311747, 
    2.312599, 2.300152, 2.258313, 2.195482, 2.114108, 2.020386, 1.929106, 
    1.830834, 1.717721, 1.604939, 1.516358, 1.455763, 1.413018, 1.384317, 
    1.372111, 1.369005, 1.382888, 1.409724, 1.44556, 1.485927, 1.524834, 
    1.556633, 1.578637, 1.589442, 1.585082, 1.564946, 1.536364, 1.50079, 
    1.462689, 1.437991, 1.426534, 1.425577, 1.440268, 1.470692, 1.510405, 
    1.555017, 1.602819, 1.641455, 1.666121, 1.684805, 1.698739, 1.696714, 
    1.677333, 1.646053, 1.607121, 1.563244, 1.509283, 0.9570939, 0.6317277, 
    0, 0.2684617, 0.5230674, 0.97149, 0.9963105, 0.9848458, 0.989842, 
    1.009247, 1.046782, 1.096785, 1.157995, 1.227291, 1.312099, 1.405269, 
    1.514215, 1.656849, 1.829335, 2.018222, 2.23832, 2.509207, 2.794037, 
    3.059841, 3.313407, 3.549689, 3.720577, 3.809729, 3.829459, 3.765968, 
    3.623471, 3.438436, 3.215191, 2.95319, 2.695534, 2.477336, 2.279497, 
    2.089865, 1.925485, 1.798399, 1.688475, 1.584248, 1.480076, 1.375931, 
    1.277754, 1.191792, 1.120329, 1.073364, 1.051239, 1.071403, 1.13709, 
    1.252014, 1.420816, 1.64945, 1.904332, 2.170788, 2.456511, 2.782597, 
    3.105593, 3.405999, 3.704681, 4.009077, 4.244197, 4.290107, 4.158853, 
    3.925186, 3.603528, 3.241, 2.828779, 2.326391, 1.806665, 1.35198, 
    1.04641, 0.8151151, 0.636354, 0.5104229, 0.4212238, 0.3437144, 0.2906937, 
    0.2423245, 0.2068946, 0.1799615, 0.1732131, 0.1686131, 0.1608595, 
    0.1505079, 0.1384564, 0.1256028, 0.1131028, 0.1016482, 0.09194611, 
    0.08633994, 0.08318737, 0.04968019, 0.04707902, 0.02424671, 0, 0, 0, 0, 
    0, 0.077741, 0.09193543, 0.09824967, 0.1052711, 0.1157275, 0.1342661, 
    0.1578562, 0.1888717, 0.2537734, 0.5292553, 0.6083913, 0.6885953, 
    0.7742745, 0.8540309, 0.9219934, 0.9763168, 1.022161, 1.056759, 1.079291, 
    1.099708, 0.6192454, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.1060288, 1.047104, 0.5081705, 0, 0, 0, 0, 0, 0.8553531, 
    0.9251633, 0.8946024, 0.8559088, 0.8035762, 0.5325183, 0, 0, 0.6022275, 
    0.6825448, 0.3490515, 0, 0, 0, 0, 0, 0, 0, 0, 0.612785, 0.7983733, 
    0.6959815, 0.6064202, 0.8413073, 0.8565419, 0.7529399, 0.6833957, 
    0.6369588, 0.6163733, 0.6266353, 0.6822416, 0.805755, 0.9506561, 1.08127, 
    1.186994, 1.279779, 1.353925, 1.403489, 1.41171, 1.373407, 1.272151, 
    1.170311, 1.077255, 0.9943317, 0.9153513, 0.855212, 0.8130595, 0.7838606, 
    0.7678626, 0.7572172,
  0.9118527, 0.9188526, 0.9350071, 0.9697575, 1.011358, 1.075004, 1.170252, 
    1.279191, 1.393333, 1.509921, 1.623358, 1.739491, 1.838527, 1.932662, 
    2.014856, 2.073091, 2.116078, 2.148919, 2.181906, 2.210448, 2.227095, 
    2.237096, 2.242295, 2.242889, 2.243988, 2.246487, 2.250781, 2.256079, 
    2.262473, 2.270621, 2.280761, 2.291754, 2.301948, 2.311789, 2.320681, 
    2.328676, 2.334424, 2.339118, 2.342461, 2.338042, 2.332777, 2.326812, 
    2.321904, 2.312838, 2.282189, 2.2323, 2.165773, 2.089267, 2.019056, 
    1.942191, 1.852337, 1.758961, 1.679532, 1.621047, 1.578848, 1.549594, 
    1.536289, 1.531024, 1.541355, 1.564734, 1.596963, 1.632345, 1.664722, 
    1.689602, 1.705889, 1.711684, 1.706787, 1.689401, 1.664419, 1.632783, 
    1.601706, 1.58448, 1.578997, 1.584015, 1.604029, 1.637536, 1.678789, 
    1.723882, 1.771074, 1.807263, 1.825483, 1.832128, 1.831952, 1.814473, 
    1.780708, 1.735397, 1.682589, 1.625987, 1.56225, 1.491187, 1.34335, 
    0.6737892, 0.6280957, 0.1826729, 0.5104555, 0.9988617, 0.9654559, 
    0.9499035, 0.9506103, 0.9735301, 1.01287, 1.064817, 1.1319, 1.217449, 
    1.313307, 1.429131, 1.585385, 1.780679, 2.00111, 2.265003, 2.596729, 
    2.95534, 3.30033, 3.635888, 3.956907, 4.196609, 4.32798, 4.366841, 
    4.297876, 4.127594, 3.902982, 3.627555, 3.302776, 2.981748, 2.713544, 
    2.477248, 2.261265, 2.082601, 1.949375, 1.836822, 1.727242, 1.61907, 
    1.514206, 1.413153, 1.323327, 1.248304, 1.196875, 1.168538, 1.179483, 
    1.235955, 1.338358, 1.489026, 1.701178, 1.941854, 2.198752, 2.479125, 
    2.803472, 3.127889, 3.433534, 3.741647, 4.058475, 4.300927, 4.35025, 
    4.210872, 3.958752, 3.619583, 3.243525, 2.818112, 2.300497, 1.767288, 
    1.306309, 0.9983039, 0.7783123, 0.6152313, 0.5012329, 0.4204671, 
    0.3500985, 0.302423, 0.2590931, 0.2273098, 0.2027671, 0.1960661, 
    0.1911127, 0.1833661, 0.1725127, 0.1598078, 0.1466078, 0.1337544, 
    0.1216524, 0.111298, 0.1048456, 0.1011931, 0.1001882, 0.1016318, 
    0.08157586, 0.06154732, 0.06710123, 0.07255415, 0.07851198, 0.08482322, 
    0.1675828, 0.1880588, 0.2008113, 0.2156706, 0.2376833, 0.2758475, 
    0.3241127, 0.3860176, 0.4665274, 0.5541431, 0.6394191, 0.7292622, 
    0.8296308, 0.9295773, 1.021252, 1.104568, 1.187443, 1.261639, 1.318348, 
    1.367315, 1.364282, 0.8507568, 0.9068006, 0.9921792, 1.137994, 1.339853, 
    1.561656, 1.802191, 2.058276, 2.285178, 2.449018, 2.561257, 2.6069, 
    2.548534, 1.235743, 0, 0, 0.4509263, 1.421041, 1.254525, 1.231111, 
    2.072294, 1.501812, 0.9816268, 0.9761739, 0.9818287, 0.9878371, 
    0.9881905, 1.816395, 1.867398, 1.818713, 1.756048, 1.667595, 1.362391, 
    0.8098598, 0.7902192, 1.375378, 1.466923, 1.165859, 0.8580273, 0.9084668, 
    0.9736494, 1.030754, 1.065945, 1.072509, 1.04888, 1.003489, 1.533257, 
    1.619731, 1.417687, 1.239882, 1.082724, 0.9412627, 0.8311984, 0.7555808, 
    0.7041165, 0.6783494, 0.6832833, 0.7312499, 0.8439289, 0.9867073, 
    1.119313, 1.228424, 1.326342, 1.408425, 1.468215, 1.489828, 1.471936, 
    1.392813, 1.303781, 1.220181, 1.144275, 1.070709, 1.014285, 0.9743085, 
    0.9462183, 0.9314281, 0.9223894,
  1.087328, 1.095035, 1.112392, 1.147394, 1.189347, 1.252647, 1.347142, 
    1.454386, 1.566576, 1.680159, 1.790291, 1.902571, 1.995478, 2.080658, 
    2.148831, 2.192659, 2.222445, 2.242784, 2.262823, 2.279113, 2.284711, 
    2.287187, 2.287187, 2.287187, 2.288187, 2.290234, 2.293732, 2.298378, 
    2.303926, 2.31122, 2.319764, 2.329408, 2.338402, 2.346696, 2.35414, 
    2.360984, 2.366131, 2.366345, 2.36087, 2.342455, 2.32364, 2.304478, 
    2.286512, 2.270715, 2.246476, 2.206864, 2.159675, 2.107512, 2.06514, 
    2.016122, 1.956012, 1.89015, 1.82865, 1.777251, 1.737574, 1.707874, 
    1.692963, 1.685053, 1.691233, 1.709605, 1.737384, 1.768309, 1.796189, 
    1.817273, 1.831314, 1.835908, 1.831812, 1.817225, 1.796094, 1.76867, 
    1.742646, 1.73047, 1.729192, 1.738062, 1.760875, 1.79563, 1.83723, 
    1.881276, 1.926516, 1.959547, 1.970155, 1.96429, 1.94781, 1.913932, 
    1.866365, 1.808657, 1.744154, 1.677812, 1.608192, 1.536852, 1.460392, 
    1.36897, 1.284122, 0.8060686, 0.1120954, 0.4978475, 0.4760039, 0.463175, 
    0.8800705, 0.9328728, 0.9573409, 0.9965222, 1.054656, 1.134604, 1.229135, 
    1.346072, 1.508277, 1.716761, 1.959243, 2.25531, 2.635854, 3.058863, 
    3.477379, 3.892788, 4.298127, 4.608806, 4.784661, 4.847732, 4.778998, 
    4.585557, 4.321035, 3.990635, 3.598872, 3.211918, 2.893188, 2.619676, 
    2.378366, 2.188623, 2.053127, 1.943557, 1.841559, 1.742163, 1.646314, 
    1.549758, 1.456299, 1.376223, 1.318543, 1.283262, 1.282708, 1.323385, 
    1.40579, 1.530876, 1.717835, 1.943263, 2.188906, 2.462217, 2.785712, 
    3.115243, 3.430187, 3.751097, 4.084023, 4.337527, 4.391902, 4.25061, 
    3.987726, 3.636882, 3.25029, 2.813997, 2.285003, 1.741059, 1.276149, 
    0.9676998, 0.7574354, 0.6071897, 0.5020233, 0.4272973, 0.362873, 
    0.3188338, 0.2790982, 0.2498562, 0.2270656, 0.2199123, 0.21436, 
    0.2063543, 0.1954571, 0.1823076, 0.1688553, 0.1554029, 0.1426992, 
    0.1323029, 0.1256029, 0.1213497, 0.1196478, 0.1198422, 0.1238366, 
    0.1306309, 0.1405711, 0.1512702, 0.1628178, 0.1747122, 0.1875608, 
    0.2008636, 0.2150749, 0.2320861, 0.2567487, 0.2979637, 0.348117, 
    0.4108703, 0.4930263, 0.5830338, 0.6723974, 0.769474, 0.8819218, 1.00005, 
    1.116412, 1.23246, 1.362133, 1.487628, 1.585716, 1.667665, 1.753924, 
    1.847607, 1.951693, 2.103281, 2.359125, 2.709063, 3.102589, 3.54134, 
    4.018007, 4.445655, 4.75663, 4.968231, 5.052221, 4.940406, 3.509344, 
    2.098403, 1.853886, 2.042859, 2.785733, 2.462999, 2.217864, 2.063978, 
    1.985729, 1.94632, 1.93986, 1.954441, 1.970379, 1.978296, 1.972781, 
    1.959326, 1.946501, 1.924249, 1.879365, 1.830639, 1.79275, 1.768435, 
    1.760303, 1.776619, 1.809399, 1.851207, 1.919363, 2.015709, 2.099286, 
    2.144408, 2.143983, 2.0936, 2.002893, 1.864258, 1.677933, 1.47946, 
    1.302977, 1.145734, 1.003639, 0.8927947, 0.8154956, 0.7619901, 0.733834, 
    0.7363265, 0.7782012, 0.878503, 1.019305, 1.155836, 1.271739, 1.378201, 
    1.47218, 1.545872, 1.583561, 1.586605, 1.527976, 1.447542, 1.370001, 
    1.299107, 1.230167, 1.17768, 1.141038, 1.11525, 1.102864, 1.09567,
  1.26631, 1.275416, 1.293869, 1.329674, 1.37258, 1.436132, 1.529577, 
    1.634765, 1.744301, 1.854184, 1.959256, 2.060779, 2.140604, 2.209575, 
    2.260293, 2.288069, 2.304056, 2.310944, 2.317683, 2.322639, 2.322639, 
    2.322639, 2.322639, 2.32279, 2.323891, 2.325339, 2.328588, 2.332334, 
    2.337382, 2.343477, 2.350721, 2.359065, 2.366859, 2.373954, 2.380553, 
    2.386147, 2.387819, 2.377207, 2.356846, 2.323928, 2.291569, 2.258857, 
    2.226945, 2.199285, 2.173359, 2.143308, 2.119764, 2.096138, 2.081009, 
    2.05958, 2.029818, 1.993601, 1.955514, 1.918443, 1.886138, 1.858002, 
    1.841396, 1.830732, 1.832562, 1.845187, 1.867559, 1.893085, 1.91616, 
    1.933594, 1.945483, 1.949332, 1.946338, 1.934551, 1.917519, 1.895593, 
    1.875018, 1.867436, 1.870099, 1.88221, 1.907167, 1.942517, 1.983613, 
    2.026455, 2.069193, 2.09646, 2.098271, 2.07977, 2.045841, 1.995719, 
    1.934259, 1.864406, 1.789211, 1.715032, 1.643382, 1.575604, 1.508399, 
    1.432564, 1.360327, 1.286695, 0.6916493, 0.5900822, 0.5544159, 0.5243998, 
    0.9147103, 0.9475022, 0.9541208, 0.9764863, 1.016942, 1.081252, 1.165529, 
    1.275378, 1.435152, 1.646899, 1.90047, 2.213914, 2.624952, 3.092807, 
    3.566197, 4.044165, 4.517906, 4.888075, 5.101515, 5.183974, 5.119396, 
    4.911201, 4.616192, 4.241685, 3.795345, 3.35536, 2.995259, 2.694015, 
    2.437231, 2.243335, 2.111413, 2.010663, 1.921478, 1.836152, 1.752664, 
    1.667776, 1.579631, 1.501523, 1.444104, 1.407319, 1.401675, 1.433263, 
    1.503343, 1.613316, 1.781532, 1.9957, 2.233988, 2.504147, 2.829266, 
    3.165849, 3.489334, 3.820518, 4.163082, 4.42879, 4.485941, 4.337924, 
    4.055986, 3.682578, 3.274427, 2.816929, 2.266581, 1.702342, 1.219089, 
    0.8989847, 0.6952593, 0.5595876, 0.4674212, 0.4032423, 0.3499166, 
    0.3155422, 0.2857165, 0.2716939, 0.2693162, 0.2729146, 0.2764473, 
    0.2775332, 0.2784352, 0.2772912, 0.2753454, 0.2737528, 0.2661515, 
    0.2588252, 0.2553034, 0.254941, 0.2575812, 0.2610153, 0.2674421, 
    0.2766689, 0.2871832, 0.2972788, 0.3079734, 0.3176087, 0.32708, 0.329733, 
    0.3312095, 0.3351329, 0.3468563, 0.3751275, 0.4122085, 0.4618895, 
    0.5302616, 0.6101145, 0.6983417, 0.7992002, 0.9206351, 1.053593, 
    1.192034, 1.337506, 1.511136, 1.684581, 1.821196, 1.93292, 2.039196, 
    2.137455, 2.226583, 2.340451, 2.529091, 2.782368, 3.084002, 3.441307, 
    3.848961, 4.225144, 4.502564, 4.690447, 4.764313, 4.663427, 4.397635, 
    4.026536, 3.567057, 3.090786, 2.697468, 2.396146, 2.169448, 2.030319, 
    1.963825, 1.934779, 1.938582, 1.962082, 1.989297, 2.015849, 2.044021, 
    2.077605, 2.117814, 2.153142, 2.172764, 2.190546, 2.204761, 2.211862, 
    2.208134, 2.203124, 2.195626, 2.181407, 2.178755, 2.19957, 2.212753, 
    2.201871, 2.167688, 2.104859, 2.011946, 1.876006, 1.696796, 1.506593, 
    1.336837, 1.184222, 1.045497, 0.9371637, 0.8614267, 0.8080834, 0.779233, 
    0.7800249, 0.8171566, 0.9085225, 1.04589, 1.189323, 1.31617, 1.43603, 
    1.547713, 1.641405, 1.699501, 1.721179, 1.677898, 1.605101, 1.529963, 
    1.461126, 1.394638, 1.344901, 1.310765, 1.287122, 1.277333, 1.272599,
  1.446771, 1.456571, 1.475875, 1.512779, 1.556279, 1.620432, 1.712979, 
    1.814006, 1.912929, 2.012205, 2.104522, 2.187689, 2.250364, 2.302192, 
    2.334211, 2.345088, 2.349598, 2.349599, 2.349598, 2.349599, 2.349598, 
    2.349599, 2.349598, 2.349747, 2.350594, 2.352147, 2.354641, 2.358143, 
    2.362338, 2.367586, 2.373682, 2.380726, 2.387321, 2.393569, 2.399061, 
    2.402296, 2.393987, 2.369931, 2.335268, 2.28806, 2.242504, 2.1966, 
    2.150437, 2.10938, 2.078815, 2.060216, 2.057947, 2.06015, 2.07141, 
    2.077076, 2.077654, 2.071081, 2.058894, 2.041083, 2.020188, 1.997068, 
    1.980322, 1.967064, 1.963939, 1.970462, 1.986484, 2.006359, 2.024187, 
    2.037921, 2.047663, 2.050758, 2.048811, 2.039521, 2.026689, 2.009657, 
    1.994329, 1.990595, 1.996005, 2.009457, 2.035005, 2.070254, 2.110249, 
    2.151291, 2.191632, 2.211097, 2.202646, 2.172496, 2.1244, 2.061458, 
    1.990231, 1.912364, 1.827322, 1.745737, 1.676911, 1.619679, 1.567666, 
    1.50895, 1.452475, 1.394241, 1.321549, 1.245594, 1.177416, 1.117966, 
    1.068841, 1.039491, 1.030031, 1.033853, 1.05286, 1.09541, 1.159406, 
    1.252109, 1.398167, 1.601196, 1.853363, 2.17136, 2.594984, 3.084019, 
    3.584974, 4.096101, 4.606737, 5.010668, 5.246274, 5.337997, 5.274486, 
    5.058109, 4.746975, 4.349376, 3.874865, 3.406851, 3.024, 2.707661, 
    2.4459, 2.254014, 2.129248, 2.039494, 1.965462, 1.897389, 1.829513, 
    1.759884, 1.685852, 1.619311, 1.570253, 1.538683, 1.535297, 1.564487, 
    1.628757, 1.730815, 1.888861, 2.092602, 2.32456, 2.592583, 2.917262, 
    3.256604, 3.584509, 3.918702, 4.258465, 4.524918, 4.583932, 4.42344, 
    4.115901, 3.712849, 3.275594, 2.790045, 2.213562, 1.630785, 1.128619, 
    0.7965651, 0.601213, 0.4830379, 0.409568, 0.3626981, 0.327129, 0.3131813, 
    0.3097355, 0.3230477, 0.3502872, 0.3757301, 0.3981123, 0.4187475, 
    0.4406297, 0.4607102, 0.4743949, 0.4831316, 0.4804273, 0.4751222, 
    0.4746214, 0.4786735, 0.4859248, 0.4949402, 0.5061556, 0.520171, 
    0.5335822, 0.5426779, 0.5521727, 0.5588616, 0.5636992, 0.5520188, 
    0.5290271, 0.5077825, 0.4930772, 0.4937137, 0.5056118, 0.5279919, 
    0.5663575, 0.6206316, 0.6976579, 0.7978442, 0.9248084, 1.071016, 
    1.231821, 1.40842, 1.623956, 1.839733, 2.009711, 2.144288, 2.259392, 
    2.352439, 2.426429, 2.504193, 2.629194, 2.795856, 3.012628, 3.288205, 
    3.623012, 3.945104, 4.187173, 4.351231, 4.417548, 4.329447, 4.09572, 
    3.765781, 3.35423, 2.927082, 2.572691, 2.299459, 2.094346, 1.968644, 
    1.910965, 1.890034, 1.903566, 1.938769, 1.98038, 2.03008, 2.095586, 
    2.17909, 2.274061, 2.369409, 2.456882, 2.542092, 2.61131, 2.653516, 
    2.659377, 2.633705, 2.585041, 2.514265, 2.438626, 2.379509, 2.317163, 
    2.244353, 2.166555, 2.082953, 1.985829, 1.854106, 1.685811, 1.508677, 
    1.350282, 1.206575, 1.07476, 0.9709832, 0.9004148, 0.8504875, 0.8235542, 
    0.8217902, 0.8496284, 0.9334968, 1.067044, 1.216465, 1.354919, 1.485655, 
    1.611699, 1.721651, 1.799881, 1.843494, 1.817778, 1.759149, 1.690441, 
    1.624857, 1.561573, 1.514483, 1.482741, 1.461151, 1.453358, 1.451013,
  1.62573, 1.63553, 1.655784, 1.693235, 1.736735, 1.801234, 1.886327, 
    1.974847, 2.055773, 2.137399, 2.210369, 2.274039, 2.318965, 2.353391, 
    2.366867, 2.368057, 2.368057, 2.368057, 2.368057, 2.368057, 2.368057, 
    2.368057, 2.368057, 2.368057, 2.368557, 2.370105, 2.372157, 2.375302, 
    2.378549, 2.382843, 2.388091, 2.393886, 2.399281, 2.404676, 2.40852, 
    2.403063, 2.381662, 2.344507, 2.295753, 2.234694, 2.176192, 2.11769, 
    2.057032, 2.004189, 1.971788, 1.96181, 1.975716, 1.999898, 2.035543, 
    2.067699, 2.097516, 2.120185, 2.134494, 2.139698, 2.135179, 2.121024, 
    2.10674, 2.092087, 2.083868, 2.084244, 2.093667, 2.107642, 2.12022, 
    2.130103, 2.137593, 2.139841, 2.138795, 2.131855, 2.122869, 2.109683, 
    2.098597, 2.097605, 2.104658, 2.118006, 2.142852, 2.176691, 2.214881, 
    2.254125, 2.292316, 2.305649, 2.285048, 2.242393, 2.182944, 2.111363, 
    2.034643, 1.950912, 1.856828, 1.768052, 1.704574, 1.665658, 1.636008, 
    1.598855, 1.561439, 1.520871, 1.465911, 1.404839, 1.345743, 1.289065, 
    1.2352, 1.196572, 1.174929, 1.161663, 1.158924, 1.177423, 1.21682, 
    1.285264, 1.408112, 1.593334, 1.835484, 2.150109, 2.575702, 3.070315, 
    3.580992, 4.104974, 4.630162, 5.047595, 5.291358, 5.385658, 5.318589, 
    5.094956, 4.775269, 4.367381, 3.880235, 3.400298, 3.008121, 2.684902, 
    2.421499, 2.232257, 2.114381, 2.035022, 1.975577, 1.925753, 1.875879, 
    1.823906, 1.76809, 1.717363, 1.680171, 1.65696, 1.657882, 1.685579, 
    1.742951, 1.834253, 1.977232, 2.164755, 2.382933, 2.641027, 2.957329, 
    3.291797, 3.616768, 3.945581, 4.272864, 4.524438, 4.579291, 4.411925, 
    4.087319, 3.663093, 3.205829, 2.702377, 2.120209, 1.544492, 1.052994, 
    0.7280551, 0.544758, 0.4448864, 0.3900123, 0.3613853, 0.3448137, 
    0.3522413, 0.376068, 0.4117947, 0.4594264, 0.5062125, 0.5483962, 
    0.5888271, 0.6312165, 0.6694888, 0.6881465, 0.6959515, 0.6908863, 
    0.6823649, 0.6795973, 0.6820825, 0.6874661, 0.6956952, 0.7062755, 
    0.719303, 0.7300205, 0.737814, 0.7464619, 0.751257, 0.7530943, 0.7351721, 
    0.6928511, 0.6515773, 0.614444, 0.5920635, 0.5812749, 0.5785334, 
    0.5882771, 0.6139631, 0.6738933, 0.7695695, 0.8973125, 1.052582, 
    1.229918, 1.434253, 1.687081, 1.93785, 2.131824, 2.280264, 2.394755, 
    2.476211, 2.53323, 2.580761, 2.652412, 2.756017, 2.911024, 3.126237, 
    3.405561, 3.687279, 3.903693, 4.05049, 4.111225, 4.033463, 3.825759, 
    3.529531, 3.158676, 2.774233, 2.452801, 2.203787, 2.015895, 1.899375, 
    1.845485, 1.826937, 1.844842, 1.888612, 1.942807, 2.013483, 2.112157, 
    2.239824, 2.383109, 2.532011, 2.679441, 2.82282, 2.939954, 3.015378, 
    3.033975, 2.990346, 2.904145, 2.783603, 2.646475, 2.520681, 2.396255, 
    2.268704, 2.149151, 2.044224, 1.945836, 1.826511, 1.678424, 1.52072, 
    1.376937, 1.244336, 1.120216, 1.021486, 0.9557955, 0.9093524, 0.8824872, 
    0.8764659, 0.8922257, 0.9636039, 1.092266, 1.243663, 1.392144, 1.531883, 
    1.668326, 1.79093, 1.885589, 1.954034, 1.952804, 1.912033, 1.853929, 
    1.791944, 1.732006, 1.687265, 1.65697, 1.637175, 1.630326, 1.628778,
  1.802189, 1.811636, 1.831731, 1.869181, 1.912429, 1.971386, 2.039608, 
    2.108228, 2.171157, 2.234787, 2.28826, 2.332433, 2.359362, 2.375791, 
    2.378023, 2.378024, 2.378024, 2.378024, 2.378023, 2.378024, 2.378024, 
    2.378024, 2.378023, 2.378024, 2.378272, 2.37922, 2.381066, 2.383616, 
    2.386264, 2.389612, 2.394008, 2.398553, 2.402748, 2.40659, 2.404349, 
    2.385347, 2.351094, 2.301095, 2.23864, 2.163485, 2.092638, 2.021438, 
    1.947489, 1.888532, 1.85578, 1.848228, 1.870692, 1.911747, 1.968673, 
    2.025264, 2.082921, 2.134283, 2.175086, 2.205738, 2.223737, 2.225519, 
    2.217149, 2.202806, 2.191146, 2.185522, 2.188598, 2.196575, 2.203804, 
    2.210293, 2.215535, 2.217636, 2.217388, 2.212898, 2.206807, 2.196517, 
    2.187016, 2.187168, 2.193811, 2.205701, 2.228137, 2.258318, 2.293756, 
    2.330594, 2.366333, 2.377381, 2.347708, 2.292814, 2.222576, 2.143749, 
    2.063339, 1.975587, 1.877185, 1.78332, 1.721815, 1.697096, 1.690482, 
    1.677681, 1.66187, 1.642559, 1.610251, 1.570594, 1.528728, 1.482993, 
    1.431727, 1.387208, 1.356023, 1.32797, 1.303787, 1.296733, 1.309673, 
    1.351313, 1.448056, 1.612064, 1.838791, 2.142883, 2.562895, 3.056374, 
    3.570173, 4.098678, 4.62989, 5.051692, 5.297445, 5.391292, 5.320783, 
    5.091167, 4.764649, 4.349226, 3.8532, 3.365222, 2.967555, 2.640241, 
    2.375584, 2.18809, 2.074803, 2.003175, 1.956271, 1.923785, 1.89276, 
    1.86034, 1.825877, 1.794661, 1.772323, 1.759768, 1.765838, 1.791324, 
    1.839327, 1.915302, 2.035491, 2.198019, 2.392905, 2.631203, 2.930667, 
    3.252146, 3.567347, 3.886406, 4.200466, 4.43702, 4.485213, 4.318886, 
    3.986881, 3.551868, 3.088228, 2.586139, 2.018169, 1.465219, 1.000079, 
    0.6917, 0.5227118, 0.4426425, 0.40687, 0.3917063, 0.3923669, 0.419296, 
    0.461366, 0.5156888, 0.5834692, 0.6505463, 0.7121691, 0.7723974, 
    0.8354746, 0.8838856, 0.9043423, 0.913599, 0.9069005, 0.8962541, 
    0.8898423, 0.8872667, 0.8864336, 0.8880014, 0.8922203, 0.8985392, 
    0.903777, 0.9099706, 0.9171612, 0.9229739, 0.9195951, 0.8924943, 
    0.8355471, 0.7785943, 0.7227266, 0.6783306, 0.6444842, 0.617985, 
    0.6009259, 0.6071315, 0.6536929, 0.7422599, 0.865078, 1.019352, 1.200598, 
    1.418272, 1.695593, 1.967546, 2.17352, 2.325912, 2.435029, 2.504729, 
    2.54563, 2.571472, 2.606071, 2.668534, 2.787988, 2.967284, 3.213542, 
    3.469163, 3.668158, 3.803821, 3.860706, 3.791688, 3.604961, 3.336009, 
    2.997525, 2.651678, 2.356925, 2.125129, 1.94821, 1.837527, 1.785532, 
    1.767131, 1.78553, 1.833091, 1.897327, 1.985391, 2.111488, 2.277278, 
    2.458248, 2.648329, 2.851043, 3.050213, 3.207957, 3.301178, 3.317568, 
    3.248644, 3.128169, 2.972375, 2.792657, 2.611909, 2.435567, 2.270161, 
    2.129641, 2.020028, 1.930787, 1.830011, 1.704431, 1.56594, 1.435279, 
    1.311602, 1.191657, 1.09435, 1.028035, 0.9806212, 0.9494519, 0.9383826, 
    0.9444448, 0.9984267, 1.113305, 1.256191, 1.408492, 1.557326, 1.704821, 
    1.840724, 1.950185, 2.041826, 2.071151, 2.055624, 2.015622, 1.960864, 
    1.904027, 1.86204, 1.832693, 1.813493, 1.806793, 1.805242,
  1.974139, 1.982886, 2.001681, 2.037972, 2.076589, 2.12077, 2.168992, 
    2.217618, 2.26255, 2.30783, 2.341655, 2.366331, 2.375263, 2.378985, 
    2.378985, 2.378985, 2.378985, 2.378985, 2.378985, 2.378985, 2.378985, 
    2.378985, 2.378985, 2.379136, 2.379489, 2.380189, 2.381085, 2.383081, 
    2.385229, 2.387725, 2.39102, 2.394719, 2.397714, 2.398246, 2.384298, 
    2.351645, 2.3048, 2.242202, 2.166555, 2.077805, 1.994355, 1.91091, 
    1.827133, 1.766377, 1.732772, 1.72472, 1.749625, 1.800144, 1.872336, 
    1.949102, 2.03194, 2.110286, 2.175673, 2.230559, 2.273401, 2.296433, 
    2.299742, 2.290424, 2.277775, 2.26706, 2.264742, 2.267676, 2.270816, 
    2.274757, 2.278704, 2.280904, 2.281408, 2.278914, 2.275223, 2.267332, 
    2.257934, 2.256973, 2.26096, 2.269493, 2.287474, 2.312654, 2.344388, 
    2.377874, 2.411267, 2.421261, 2.389617, 2.326447, 2.246661, 2.162346, 
    2.083064, 1.99713, 1.899437, 1.803687, 1.742343, 1.721946, 1.7334, 
    1.746652, 1.75384, 1.756471, 1.747811, 1.732908, 1.713447, 1.68557, 
    1.647437, 1.604416, 1.565339, 1.523788, 1.478005, 1.443547, 1.428239, 
    1.439868, 1.506695, 1.643377, 1.84803, 2.133194, 2.538116, 3.02146, 
    3.529266, 4.054235, 4.58356, 5.00314, 5.247679, 5.341028, 5.270033, 
    5.039792, 4.712705, 4.295666, 3.797474, 3.306679, 2.907484, 2.578988, 
    2.314093, 2.127645, 2.017254, 1.950269, 1.913854, 1.896053, 1.883421, 
    1.871146, 1.858729, 1.848407, 1.841967, 1.840054, 1.849158, 1.868173, 
    1.900651, 1.953045, 2.040554, 2.166697, 2.328859, 2.538642, 2.81369, 
    3.117475, 3.422042, 3.733624, 4.041163, 4.270804, 4.321026, 4.164427, 
    3.835657, 3.403238, 2.950963, 2.466841, 1.920981, 1.394636, 0.9586008, 
    0.6695282, 0.5174969, 0.4586297, 0.4426549, 0.4417275, 0.4604053, 
    0.5068771, 0.5671978, 0.6397658, 0.7274895, 0.8142643, 0.894485, 
    0.968716, 1.042221, 1.093281, 1.115286, 1.125739, 1.120347, 1.110701, 
    1.103053, 1.097152, 1.092455, 1.089854, 1.089549, 1.091345, 1.09439, 
    1.099135, 1.10176, 1.100495, 1.083016, 1.039037, 0.965961, 0.8921847, 
    0.8167015, 0.747859, 0.6901209, 0.6429093, 0.6067693, 0.6028857, 
    0.6404546, 0.7203711, 0.834234, 0.9816571, 1.159082, 1.378522, 1.669206, 
    1.958888, 2.179275, 2.33944, 2.450335, 2.517059, 2.552666, 2.567941, 
    2.578658, 2.600584, 2.678916, 2.814637, 3.020723, 3.242242, 3.419431, 
    3.542773, 3.593693, 3.532521, 3.369732, 3.133132, 2.834823, 2.533361, 
    2.273179, 2.057701, 1.885054, 1.775042, 1.723491, 1.707309, 1.72717, 
    1.779043, 1.853082, 1.957242, 2.107179, 2.305088, 2.516452, 2.739727, 
    2.988773, 3.235168, 3.426989, 3.531956, 3.543427, 3.453234, 3.306707, 
    3.125505, 2.91433, 2.692107, 2.476494, 2.283991, 2.133888, 2.026066, 
    1.946835, 1.860625, 1.75123, 1.626125, 1.504757, 1.386526, 1.267882, 
    1.16807, 1.098257, 1.046639, 1.010873, 0.9946522, 0.9934333, 1.032788, 
    1.129721, 1.260893, 1.410523, 1.561205, 1.718939, 1.869448, 1.994155, 
    2.105567, 2.165579, 2.181196, 2.16327, 2.122938, 2.077309, 2.038169, 
    2.009169, 1.989616, 1.982161, 1.978899,
  2.141099, 2.148794, 2.164829, 2.189654, 2.214184, 2.239413, 2.26734, 
    2.295966, 2.322901, 2.349835, 2.364014, 2.37146, 2.37146, 2.37146, 
    2.37146, 2.37146, 2.37146, 2.37146, 2.37146, 2.37146, 2.37146, 2.37146, 
    2.37146, 2.371609, 2.371956, 2.372304, 2.372956, 2.373902, 2.375449, 
    2.376997, 2.379445, 2.381887, 2.383683, 2.379868, 2.35423, 2.308133, 
    2.249541, 2.17485, 2.086049, 1.984151, 1.888108, 1.792764, 1.701486, 
    1.638577, 1.603773, 1.595221, 1.620821, 1.67649, 1.760838, 1.853238, 
    1.955495, 2.054352, 2.138052, 2.211253, 2.273606, 2.314154, 2.327975, 
    2.322875, 2.309871, 2.296667, 2.291212, 2.291356, 2.294668, 2.300792, 
    2.307766, 2.313341, 2.317816, 2.319691, 2.319609, 2.315326, 2.308947, 
    2.305992, 2.306127, 2.309757, 2.321883, 2.341361, 2.368543, 2.398531, 
    2.429672, 2.438469, 2.408777, 2.345495, 2.263766, 2.180235, 2.106357, 
    2.024774, 1.929485, 1.835698, 1.777415, 1.76079, 1.781505, 1.812134, 
    1.835517, 1.8533, 1.868386, 1.881092, 1.885833, 1.877958, 1.857623, 
    1.827388, 1.789824, 1.742078, 1.679787, 1.616985, 1.569807, 1.546772, 
    1.577226, 1.678734, 1.852252, 2.107317, 2.482224, 2.939338, 3.426733, 
    3.93479, 4.449861, 4.859054, 5.097975, 5.190269, 5.1243, 4.902955, 
    4.58662, 4.18069, 3.693713, 3.212981, 2.821381, 2.499072, 2.239455, 
    2.057032, 1.949998, 1.887063, 1.858084, 1.851971, 1.854114, 1.859772, 
    1.867992, 1.8759, 1.88158, 1.885487, 1.891964, 1.899112, 1.911435, 
    1.935985, 1.986148, 2.071704, 2.198934, 2.379735, 2.631161, 2.920771, 
    3.218453, 3.526998, 3.832644, 4.060641, 4.116209, 3.973007, 3.653244, 
    3.237787, 2.80697, 2.344301, 1.823295, 1.326005, 0.9206175, 0.652747, 
    0.5203736, 0.4897992, 0.4939733, 0.5128474, 0.552374, 0.6187496, 
    0.6977674, 0.7886853, 0.895604, 0.9998591, 1.089963, 1.168868, 1.243723, 
    1.296677, 1.319982, 1.331738, 1.327791, 1.319447, 1.312752, 1.306752, 
    1.302352, 1.299652, 1.2985, 1.299095, 1.300992, 1.300257, 1.291902, 
    1.273036, 1.234912, 1.170136, 1.077367, 0.9835445, 0.8859639, 0.7941358, 
    0.7185908, 0.6584559, 0.6132284, 0.6002949, 0.6292118, 0.7004814, 
    0.8048983, 0.9443664, 1.115092, 1.330975, 1.628241, 1.938763, 2.180485, 
    2.35815, 2.480893, 2.552807, 2.587343, 2.593853, 2.58217, 2.559262, 
    2.579097, 2.655284, 2.803671, 2.977045, 3.124134, 3.230315, 3.274595, 
    3.223541, 3.087429, 2.8873, 2.63359, 2.376381, 2.155204, 1.963406, 
    1.802992, 1.698593, 1.650972, 1.639389, 1.662804, 1.720776, 1.80607, 
    1.927085, 2.099464, 2.324306, 2.563397, 2.817199, 3.100609, 3.380059, 
    3.59753, 3.717676, 3.733286, 3.633306, 3.467994, 3.263472, 3.023684, 
    2.772844, 2.532926, 2.318566, 2.154214, 2.040491, 1.965554, 1.889238, 
    1.792577, 1.678969, 1.565696, 1.451708, 1.334614, 1.233265, 1.160203, 
    1.104642, 1.064325, 1.04341, 1.038149, 1.06611, 1.149676, 1.274205, 
    1.41904, 1.565275, 1.725511, 1.884264, 2.024573, 2.152281, 2.241586, 
    2.28417, 2.286144, 2.264665, 2.238437, 2.210207, 2.185891, 2.165386, 
    2.155575, 2.149264,
  2.305069, 2.305725, 2.307994, 2.311416, 2.316297, 2.321877, 2.329154, 
    2.337332, 2.346017, 2.35435, 2.35598, 2.35593, 2.35593, 2.355578, 
    2.355427, 2.355427, 2.355427, 2.355427, 2.355427, 2.355427, 2.355427, 
    2.355427, 2.355427, 2.355427, 2.355427, 2.355427, 2.355874, 2.356223, 
    2.357171, 2.35812, 2.359867, 2.361216, 2.362164, 2.354703, 2.320127, 
    2.262945, 2.19356, 2.107722, 2.005678, 1.891186, 1.783144, 1.675802, 
    1.575365, 1.508496, 1.471787, 1.462383, 1.487882, 1.551167, 1.648361, 
    1.754307, 1.871557, 1.985659, 2.082049, 2.167939, 2.243632, 2.296118, 
    2.313423, 2.307618, 2.293766, 2.279009, 2.271651, 2.271302, 2.276655, 
    2.286106, 2.297161, 2.308226, 2.31965, 2.32792, 2.333241, 2.33401, 
    2.332978, 2.33124, 2.330297, 2.331096, 2.337379, 2.350959, 2.372989, 
    2.398873, 2.427262, 2.435713, 2.408472, 2.350794, 2.274764, 2.197186, 
    2.129308, 2.052324, 1.960638, 1.872515, 1.82014, 1.81117, 1.839105, 
    1.883423, 1.922097, 1.957992, 2.003119, 2.048192, 2.078534, 2.092766, 
    2.091234, 2.075977, 2.04524, 1.994164, 1.913374, 1.816585, 1.73109, 
    1.668343, 1.655229, 1.712708, 1.843689, 2.05446, 2.380909, 2.789099, 
    3.235666, 3.706747, 4.188793, 4.572822, 4.798659, 4.887693, 4.830927, 
    4.631325, 4.342907, 3.966999, 3.513814, 3.065475, 2.701267, 2.402139, 
    2.1632, 1.996333, 1.899388, 1.844781, 1.823817, 1.826392, 1.837262, 
    1.852675, 1.871431, 1.887584, 1.896276, 1.898659, 1.895565, 1.886854, 
    1.878584, 1.8773, 1.893947, 1.943735, 2.039934, 2.194243, 2.424669, 
    2.701165, 2.991935, 3.297066, 3.600152, 3.825839, 3.887162, 3.757762, 
    3.455851, 3.066444, 2.659732, 2.221172, 1.727119, 1.260377, 0.8858848, 
    0.640163, 0.5349789, 0.533562, 0.5587374, 0.5982603, 0.6589344, 
    0.7465602, 0.8445272, 0.9540418, 1.079455, 1.192463, 1.283415, 1.363519, 
    1.439623, 1.493576, 1.518432, 1.531737, 1.528791, 1.521695, 1.515947, 
    1.510551, 1.506302, 1.503753, 1.502454, 1.500792, 1.497963, 1.486068, 
    1.462314, 1.425954, 1.367383, 1.282113, 1.170045, 1.056577, 0.939418, 
    0.8298187, 0.7425803, 0.6735517, 0.620121, 0.5980392, 0.6179581, 
    0.6802246, 0.7748883, 0.904752, 1.06757, 1.277293, 1.582383, 1.912047, 
    2.172961, 2.368776, 2.50664, 2.588396, 2.625175, 2.624462, 2.590536, 
    2.520107, 2.48221, 2.499957, 2.588796, 2.710957, 2.82146, 2.903658, 
    2.942187, 2.90368, 2.792218, 2.625485, 2.411074, 2.192761, 2.005228, 
    1.841475, 1.703953, 1.613854, 1.573476, 1.565989, 1.59451, 1.660998, 
    1.759095, 1.897806, 2.092133, 2.341617, 2.606157, 2.887149, 3.200351, 
    3.505334, 3.739985, 3.871017, 3.887212, 3.77843, 3.598185, 3.374873, 
    3.112046, 2.837366, 2.578398, 2.347088, 2.168237, 2.048466, 1.975517, 
    1.905378, 1.817099, 1.712825, 1.605843, 1.495708, 1.381422, 1.280877, 
    1.206629, 1.149177, 1.105822, 1.082268, 1.076877, 1.100182, 1.176715, 
    1.295697, 1.436332, 1.578719, 1.735106, 1.892947, 2.040038, 2.17735, 
    2.290968, 2.356297, 2.379021, 2.377592, 2.371312, 2.36243, 2.351541, 
    2.338195, 2.32755, 2.317837,
  2.384993, 2.377984, 2.366167, 2.357007, 2.350195, 2.344787, 2.34048, 
    2.337775, 2.336671, 2.334867, 2.333466, 2.332762, 2.332158, 2.331558, 
    2.330956, 2.330906, 2.330906, 2.330906, 2.330906, 2.330906, 2.330906, 
    2.330906, 2.330906, 2.330906, 2.330906, 2.330906, 2.330906, 2.331055, 
    2.331403, 2.332103, 2.333453, 2.335206, 2.336158, 2.327662, 2.288052, 
    2.223383, 2.145107, 2.049327, 1.935691, 1.808899, 1.689211, 1.569518, 
    1.457275, 1.383345, 1.342325, 1.33001, 1.358934, 1.433224, 1.542664, 
    1.661557, 1.793457, 1.920393, 2.027829, 2.125117, 2.212656, 2.270406, 
    2.288154, 2.281403, 2.266699, 2.250547, 2.242651, 2.243155, 2.249156, 
    2.25926, 2.271664, 2.285468, 2.301174, 2.314438, 2.324953, 2.33092, 
    2.334333, 2.335641, 2.335993, 2.336341, 2.33989, 2.350237, 2.367725, 
    2.389765, 2.415507, 2.424813, 2.40148, 2.349447, 2.278814, 2.20688, 
    2.144044, 2.071055, 1.983267, 1.901132, 1.855604, 1.854528, 1.897042, 
    1.963123, 2.021333, 2.074609, 2.155477, 2.238916, 2.297971, 2.336706, 
    2.356282, 2.354733, 2.327192, 2.27199, 2.17547, 2.038131, 1.910387, 
    1.803633, 1.740152, 1.74466, 1.822919, 1.977464, 2.23887, 2.581986, 
    2.968006, 3.378864, 3.804383, 4.14692, 4.350532, 4.432752, 4.387194, 
    4.21745, 3.969042, 3.642991, 3.250992, 2.863043, 2.548691, 2.292058, 
    2.090149, 1.950805, 1.871923, 1.830822, 1.820458, 1.828773, 1.844034, 
    1.861385, 1.881336, 1.897585, 1.904782, 1.902165, 1.887278, 1.86122, 
    1.8326, 1.807824, 1.79583, 1.814579, 1.882234, 2.010094, 2.21721, 
    2.477552, 2.757459, 3.055932, 3.353761, 3.575597, 3.643922, 3.530632, 
    3.254671, 2.892918, 2.512258, 2.100098, 1.635251, 1.199404, 0.8559093, 
    0.6345477, 0.5614015, 0.5838317, 0.6300003, 0.6901688, 0.7724427, 
    0.8813629, 0.9985275, 1.12654, 1.263708, 1.378562, 1.470115, 1.551167, 
    1.628572, 1.683828, 1.710132, 1.724887, 1.723695, 1.717799, 1.711142, 
    1.703422, 1.696705, 1.691536, 1.687819, 1.68165, 1.670523, 1.645829, 
    1.60693, 1.555788, 1.481249, 1.378851, 1.250255, 1.119907, 0.9861022, 
    0.8629586, 0.7650739, 0.6871417, 0.6241067, 0.5922717, 0.6024362, 
    0.6535435, 0.7353421, 0.8521897, 1.003745, 1.209242, 1.524976, 1.870521, 
    2.148121, 2.361678, 2.516429, 2.612321, 2.657047, 2.654849, 2.597867, 
    2.480324, 2.388651, 2.350521, 2.381636, 2.452472, 2.525009, 2.581836, 
    2.612755, 2.584834, 2.498519, 2.366037, 2.191067, 2.011497, 1.857006, 
    1.721049, 1.604969, 1.527807, 1.493476, 1.490293, 1.526675, 1.604163, 
    1.716614, 1.872822, 2.088744, 2.362274, 2.651906, 2.958338, 3.297918, 
    3.623528, 3.871668, 4.009886, 4.023272, 3.904839, 3.711091, 3.470082, 
    3.185962, 2.889996, 2.612587, 2.364583, 2.171839, 2.047126, 1.974477, 
    1.907437, 1.824603, 1.72647, 1.623782, 1.517242, 1.40625, 1.308967, 
    1.241108, 1.189348, 1.151438, 1.133732, 1.13552, 1.161081, 1.233369, 
    1.347655, 1.481725, 1.615077, 1.761825, 1.91153, 2.051289, 2.185105, 
    2.308404, 2.387421, 2.422785, 2.432945, 2.437903, 2.439106, 2.436302, 
    2.429646, 2.417884, 2.403716,
  2.389032, 2.379223, 2.362256, 2.348637, 2.337974, 2.329411, 2.322098, 
    2.317189, 2.31418, 2.310824, 2.308419, 2.306465, 2.304913, 2.30406, 
    2.303009, 2.302909, 2.302909, 2.302909, 2.302909, 2.302909, 2.302909, 
    2.302909, 2.302909, 2.302909, 2.302909, 2.302909, 2.302909, 2.302909, 
    2.302909, 2.303257, 2.30511, 2.309625, 2.313945, 2.308108, 2.268467, 
    2.200766, 2.117206, 2.014742, 1.892119, 1.753382, 1.62008, 1.485022, 
    1.358019, 1.272321, 1.223641, 1.20894, 1.245114, 1.329994, 1.450477, 
    1.581464, 1.7263, 1.863984, 1.981364, 2.08824, 2.182093, 2.23939, 
    2.25689, 2.24989, 2.234388, 2.219347, 2.212651, 2.214707, 2.222266, 
    2.234879, 2.249439, 2.265399, 2.283358, 2.300217, 2.314477, 2.32489, 
    2.330894, 2.334149, 2.334497, 2.334145, 2.337293, 2.346136, 2.361232, 
    2.381581, 2.406281, 2.417891, 2.40001, 2.353429, 2.287292, 2.219452, 
    2.160565, 2.090472, 2.023948, 1.969662, 1.952021, 1.980236, 2.061525, 
    2.165793, 2.253174, 2.327937, 2.440831, 2.546743, 2.619633, 2.667661, 
    2.691768, 2.686949, 2.648168, 2.577169, 2.458394, 2.27966, 2.109173, 
    1.957933, 1.842119, 1.791093, 1.813013, 1.905962, 2.094123, 2.363371, 
    2.677075, 3.014935, 3.36814, 3.656647, 3.829031, 3.899282, 3.863505, 
    3.724704, 3.520754, 3.256311, 2.941066, 2.630525, 2.37894, 2.176329, 
    2.020088, 1.915159, 1.858235, 1.831028, 1.828745, 1.840906, 1.858058, 
    1.875558, 1.895305, 1.910953, 1.916797, 1.911093, 1.888075, 1.849048, 
    1.803958, 1.759907, 1.724445, 1.717828, 1.759451, 1.861621, 2.042785, 
    2.281752, 2.545137, 2.828817, 3.110886, 3.32349, 3.396446, 3.304275, 
    3.056975, 2.722911, 2.368544, 1.983382, 1.551848, 1.152736, 0.847784, 
    0.6554868, 0.6060908, 0.6486439, 0.7153105, 0.7956249, 0.899896, 
    1.029714, 1.162301, 1.300105, 1.440207, 1.55616, 1.648563, 1.730466, 
    1.80912, 1.866578, 1.892321, 1.902989, 1.896045, 1.884555, 1.872427, 
    1.858204, 1.845532, 1.835116, 1.826349, 1.817249, 1.805068, 1.77588, 
    1.729882, 1.670217, 1.585489, 1.469698, 1.327756, 1.183361, 1.033711, 
    0.895959, 0.7863163, 0.6973259, 0.6225334, 0.5782366, 0.5756384, 
    0.6122357, 0.6761194, 0.7732424, 0.9113991, 1.115392, 1.436092, 1.790557, 
    2.079683, 2.306866, 2.476211, 2.586111, 2.641355, 2.639857, 2.562957, 
    2.410519, 2.27636, 2.193292, 2.177165, 2.207963, 2.253195, 2.291797, 
    2.316084, 2.299327, 2.239014, 2.14198, 2.008724, 1.869611, 1.748774, 
    1.640513, 1.547697, 1.485054, 1.457278, 1.45854, 1.499439, 1.581885, 
    1.702287, 1.869603, 2.099978, 2.390511, 2.697394, 3.021429, 3.37907, 
    3.719559, 3.979043, 4.120899, 4.128374, 3.998885, 3.791694, 3.535503, 
    3.233454, 2.920507, 2.627765, 2.366179, 2.163909, 2.038065, 1.967729, 
    1.904745, 1.827515, 1.733728, 1.634036, 1.530496, 1.425878, 1.337872, 
    1.280904, 1.239683, 1.213017, 1.20695, 1.219281, 1.24769, 1.315925, 
    1.420879, 1.543684, 1.66299, 1.79585, 1.93266, 2.061781, 2.186706, 
    2.311063, 2.395784, 2.436052, 2.450067, 2.45828, 2.460786, 2.457587, 
    2.44878, 2.433821, 2.414907,
  2.405572, 2.392611, 2.369791, 2.350473, 2.334755, 2.321488, 2.309672, 
    2.300807, 2.294696, 2.288936, 2.284428, 2.280671, 2.278167, 2.276364, 
    2.275013, 2.274913, 2.274913, 2.274913, 2.274913, 2.274913, 2.274913, 
    2.274913, 2.274913, 2.274913, 2.274913, 2.274913, 2.274913, 2.274913, 
    2.274913, 2.274913, 2.280282, 2.29161, 2.303236, 2.302958, 2.267878, 
    2.202493, 2.119053, 2.014604, 1.887751, 1.743451, 1.600792, 1.454629, 
    1.315202, 1.216417, 1.159696, 1.144644, 1.184595, 1.274397, 1.396174, 
    1.530559, 1.679501, 1.8224, 1.945658, 2.057012, 2.150707, 2.208061, 
    2.226164, 2.22012, 2.205628, 2.193638, 2.190205, 2.195871, 2.207337, 
    2.22385, 2.241509, 2.260217, 2.280422, 2.299376, 2.316283, 2.32969, 
    2.337396, 2.341044, 2.340792, 2.33984, 2.342338, 2.350691, 2.365795, 
    2.386499, 2.412909, 2.427367, 2.413575, 2.371434, 2.308793, 2.2436, 
    2.186348, 2.115788, 2.087807, 1.759655, 1.009669, 1.036302, 1.091108, 
    1.155753, 1.933151, 2.73706, 2.874975, 2.983329, 3.050604, 3.089518, 
    3.098817, 3.072551, 3.009125, 2.908234, 2.752373, 2.535061, 2.324946, 
    2.131618, 1.96808, 1.867187, 1.838647, 1.874484, 1.991974, 2.18323, 
    2.418025, 2.678725, 2.954731, 3.180576, 3.314197, 3.366683, 3.337603, 
    3.229701, 3.074409, 2.876121, 2.640925, 2.411883, 2.227595, 2.08212, 
    1.97291, 1.901401, 1.865308, 1.849488, 1.851699, 1.8656, 1.882597, 
    1.899593, 1.918441, 1.933841, 1.939597, 1.934504, 1.909861, 1.864699, 
    1.810581, 1.754354, 1.702009, 1.675751, 1.695388, 1.773464, 1.925516, 
    2.135616, 2.374275, 2.631829, 2.885782, 3.081019, 3.154516, 3.08634, 
    2.873056, 2.57394, 2.254478, 1.907028, 1.521351, 1.172078, 0.9128707, 
    0.7505586, 0.7138358, 0.7660955, 0.8434985, 0.9345539, 1.050458, 
    1.191614, 1.330266, 1.468917, 1.60967, 1.726271, 1.819523, 1.902276, 
    1.981425, 2.037409, 2.058234, 2.0584, 2.037505, 2.012761, 1.990827, 
    1.968902, 1.949531, 1.934568, 1.924526, 1.918344, 1.913018, 1.890096, 
    1.845604, 1.783251, 1.69083, 1.564202, 1.409513, 1.250968, 1.084662, 
    0.9301581, 0.8065623, 0.7036144, 0.6135601, 0.55396, 0.5363629, 
    0.5558571, 0.599193, 0.6815246, 0.80744, 1.00229, 1.313783, 1.662836, 
    1.952011, 2.185216, 2.366196, 2.488878, 2.55108, 2.552747, 2.472171, 
    2.306775, 2.151095, 2.040185, 1.991706, 1.995989, 2.02284, 2.048656, 
    2.070151, 2.065887, 2.031163, 1.969521, 1.879654, 1.781124, 1.692114, 
    1.610796, 1.540758, 1.492392, 1.470304, 1.473404, 1.512896, 1.592785, 
    1.711773, 1.881523, 2.116931, 2.412329, 2.72277, 3.050359, 3.412397, 
    3.757539, 4.019472, 4.160661, 4.160991, 4.022322, 3.807161, 3.54441, 
    3.235313, 2.915867, 2.618177, 2.353039, 2.150153, 2.028071, 1.963745, 
    1.907119, 1.836944, 1.748666, 1.65409, 1.558128, 1.46537, 1.38885, 
    1.340976, 1.307446, 1.289568, 1.292441, 1.313063, 1.344172, 1.404034, 
    1.494589, 1.604199, 1.710662, 1.831375, 1.956943, 2.077569, 2.195046, 
    2.318131, 2.409301, 2.455572, 2.475242, 2.488158, 2.493118, 2.49037, 
    2.480269, 2.462711, 2.439096,
  2.43712, 2.420307, 2.390837, 2.365015, 2.343297, 2.324026, 2.306659, 
    2.29229, 2.281976, 2.272714, 2.265002, 2.258744, 2.254437, 2.251182, 
    2.249028, 2.248274, 2.247922, 2.247922, 2.247922, 2.247922, 2.247922, 
    2.247922, 2.247922, 2.247922, 2.247922, 2.247922, 2.247922, 2.247922, 
    2.247922, 2.248274, 2.260346, 2.280572, 2.300246, 2.307671, 2.279392, 
    2.220215, 2.141081, 2.043069, 1.924119, 1.783893, 1.641704, 1.493907, 
    1.350056, 1.247618, 1.188222, 1.17257, 1.206383, 1.287881, 1.399845, 
    1.526512, 1.670189, 1.808512, 1.927731, 2.036462, 2.128053, 2.187361, 
    2.208476, 2.206142, 2.196212, 2.189233, 2.192054, 2.203272, 2.219837, 
    2.240047, 2.259851, 2.280002, 2.301002, 2.320451, 2.337848, 2.351744, 
    2.360243, 2.362939, 2.361836, 2.360032, 2.362031, 2.371384, 2.387336, 
    2.409943, 2.439502, 2.457365, 2.445872, 2.407083, 2.347744, 2.284449, 
    2.22715, 2.152334, 1.162378, 0.7441539, 0, 0, 1.270183, 1.510266, 
    2.309446, 3.127585, 3.284385, 3.405156, 3.470971, 3.497531, 3.489928, 
    3.442365, 3.356, 3.227975, 3.03848, 2.788692, 2.546661, 2.320385, 
    2.121557, 1.983974, 1.917582, 1.908217, 1.967067, 2.087928, 2.246667, 
    2.42778, 2.621924, 2.779511, 2.869574, 2.898796, 2.870934, 2.789902, 
    2.681431, 2.547815, 2.391745, 2.242476, 2.12276, 2.029254, 1.961669, 
    1.917344, 1.895877, 1.88699, 1.891091, 1.904185, 1.919378, 1.934922, 
    1.952567, 1.968168, 1.975372, 1.972779, 1.951644, 1.907411, 1.852926, 
    1.793884, 1.734435, 1.696521, 1.70089, 1.758437, 1.881055, 2.057147, 
    2.261781, 2.483206, 2.699071, 2.866415, 2.934133, 2.882914, 2.70255, 
    2.444165, 2.16749, 1.867028, 1.536492, 1.24371, 1.028839, 0.893718, 
    0.8669516, 0.9218583, 1.000714, 1.093218, 1.210471, 1.353225, 1.492729, 
    1.63188, 1.773583, 1.890886, 1.984235, 2.066731, 2.145027, 2.19556, 
    2.208184, 2.196999, 2.161958, 2.123366, 2.090282, 2.059302, 2.033182, 
    2.015176, 2.007483, 2.00715, 2.010982, 1.996758, 1.956324, 1.89453, 
    1.79717, 1.661694, 1.494507, 1.321363, 1.137058, 0.9638985, 0.8247995, 
    0.7060006, 0.5986992, 0.5232021, 0.4903558, 0.4981391, 0.5299816, 
    0.6060617, 0.7200233, 0.897668, 1.185481, 1.513098, 1.791005, 2.022388, 
    2.203913, 2.3294, 2.39522, 2.406461, 2.341078, 2.190061, 2.038715, 
    1.920227, 1.855907, 1.843019, 1.855631, 1.871755, 1.891499, 1.895414, 
    1.878649, 1.843704, 1.788284, 1.723773, 1.6622, 1.604816, 1.551859, 
    1.512329, 1.492581, 1.494525, 1.53036, 1.605744, 1.720279, 1.8852, 
    2.112947, 2.394767, 2.688778, 2.99818, 3.340523, 3.666668, 3.913142, 
    4.04555, 4.043706, 3.908445, 3.701956, 3.453141, 3.16114, 2.860046, 
    2.579841, 2.330071, 2.138475, 2.024707, 1.969036, 1.920713, 1.857481, 
    1.774944, 1.687111, 1.602795, 1.521674, 1.454301, 1.413719, 1.386086, 
    1.375609, 1.386886, 1.415815, 1.449975, 1.498544, 1.574952, 1.671965, 
    1.766177, 1.874941, 1.989858, 2.102584, 2.213567, 2.332154, 2.430125, 
    2.483851, 2.510272, 2.529041, 2.537754, 2.536662, 2.52611, 2.506103, 
    2.47794,
  2.485162, 2.464502, 2.427881, 2.394911, 2.366841, 2.341224, 2.317253, 
    2.296986, 2.28152, 2.268158, 2.256597, 2.247187, 2.240731, 2.236028, 
    2.233077, 2.231828, 2.23148, 2.23148, 2.23148, 2.23148, 2.23148, 2.23148, 
    2.231027, 2.230977, 2.230725, 2.230474, 2.229971, 2.229317, 2.228714, 
    2.229162, 2.246974, 2.275397, 2.302517, 2.317386, 2.296458, 2.24488, 
    2.174616, 2.092824, 1.99203, 1.861915, 1.726795, 1.583619, 1.442989, 
    1.34616, 1.289622, 1.270856, 1.29041, 1.354609, 1.451709, 1.564912, 
    1.697269, 1.824883, 1.934055, 2.035883, 2.125429, 2.187789, 2.214809, 
    2.219082, 2.21726, 2.218437, 2.229162, 2.246883, 2.268246, 2.290448, 
    2.310697, 2.32989, 2.349532, 2.367072, 2.382414, 2.393903, 2.400292, 
    2.401336, 2.399385, 2.396381, 2.39808, 2.407578, 2.424633, 2.449388, 
    2.482248, 2.505166, 2.49718, 2.462945, 2.409167, 2.349633, 2.29374, 
    2.215435, 0.2193232, 0, 0, 1.010669, 2.814214, 3.175596, 3.349536, 
    3.490204, 3.65626, 3.79404, 3.860329, 3.871628, 3.845472, 3.775453, 
    3.667843, 3.515776, 3.298506, 3.022741, 2.757585, 2.509933, 2.289483, 
    2.129283, 2.038631, 2.000474, 2.019539, 2.088721, 2.188734, 2.305188, 
    2.428976, 2.525527, 2.576181, 2.584888, 2.552422, 2.488054, 2.413979, 
    2.33014, 2.236178, 2.14972, 2.08124, 2.027079, 1.988285, 1.96247, 
    1.949437, 1.943391, 1.946535, 1.956975, 1.969668, 1.983061, 1.999207, 
    2.014856, 2.023411, 2.023569, 2.007233, 1.9688, 1.919466, 1.864531, 
    1.80669, 1.765283, 1.76046, 1.80076, 1.896082, 2.036881, 2.204127, 
    2.38466, 2.559151, 2.694417, 2.750782, 2.708152, 2.555228, 2.334686, 
    2.09835, 1.842425, 1.56437, 1.321397, 1.145096, 1.034915, 1.018945, 
    1.076303, 1.156706, 1.250409, 1.368963, 1.513017, 1.653469, 1.787237, 
    1.918423, 2.024506, 2.106743, 2.177781, 2.242457, 2.276126, 2.269942, 
    2.237503, 2.185897, 2.133306, 2.088471, 2.047491, 2.013868, 1.992605, 
    1.986407, 1.991069, 2.003891, 1.998819, 1.964236, 1.905499, 1.8068, 
    1.671023, 1.5023, 1.325521, 1.13554, 0.9543512, 0.8086095, 0.684224, 
    0.5728496, 0.4999595, 0.464237, 0.4708462, 0.501748, 0.5706757, 
    0.6711849, 0.8287218, 1.086683, 1.382881, 1.63432, 1.849744, 2.0195, 
    2.141794, 2.21547, 2.245439, 2.208288, 2.092964, 1.96887, 1.866803, 
    1.807751, 1.791871, 1.798775, 1.80987, 1.826206, 1.8315, 1.821506, 
    1.798924, 1.762155, 1.71829, 1.675122, 1.632997, 1.590617, 1.555725, 
    1.535419, 1.533302, 1.562377, 1.629846, 1.735309, 1.886256, 2.089365, 
    2.337044, 2.592658, 2.860512, 3.155793, 3.435024, 3.646545, 3.760831, 
    3.760232, 3.642747, 3.463897, 3.251124, 3.004189, 2.75197, 2.517292, 
    2.304981, 2.138927, 2.040635, 1.99587, 1.955993, 1.894938, 1.811219, 
    1.725364, 1.649682, 1.5766, 1.516266, 1.480677, 1.457688, 1.455413, 
    1.47936, 1.520553, 1.559621, 1.603021, 1.66699, 1.752006, 1.834575, 
    1.931089, 2.03546, 2.140639, 2.24547, 2.359255, 2.460252, 2.522125, 
    2.555997, 2.58192, 2.595687, 2.597194, 2.587149, 2.565044, 2.532933,
  2.549201, 2.525393, 2.481925, 2.441805, 2.407137, 2.374917, 2.343898, 
    2.317681, 2.297067, 2.279606, 2.264195, 2.251788, 2.243534, 2.237379, 
    2.233675, 2.232525, 2.232525, 2.232525, 2.232525, 2.232525, 2.232525, 
    2.232525, 2.232027, 2.231374, 2.230271, 2.229168, 2.227464, 2.224907, 
    2.222751, 2.221996, 2.242248, 2.277063, 2.310528, 2.331745, 2.318417, 
    2.275694, 2.221399, 2.159405, 2.078712, 1.963964, 1.8406, 1.707081, 
    1.575412, 1.485883, 1.43269, 1.407469, 1.412834, 1.459837, 1.539539, 
    1.635689, 1.752493, 1.867407, 1.967131, 2.062315, 2.15026, 2.216019, 
    2.250391, 2.263418, 2.271849, 2.283279, 2.302503, 2.32697, 2.352531, 
    2.374729, 2.393271, 2.40936, 2.425096, 2.438734, 2.450221, 2.457507, 
    2.459443, 2.457432, 2.453925, 2.450073, 2.451573, 2.460773, 2.478925, 
    2.505128, 2.540734, 2.572265, 2.573251, 2.547282, 2.504121, 2.453856, 
    2.405642, 1.491757, 0.1110265, 0, 0, 0.9992381, 3.148219, 3.558677, 
    3.733394, 3.868898, 4.0272, 4.163613, 3.114077, 2.012796, 3.938138, 
    4.062533, 3.934176, 3.761022, 3.522068, 3.227728, 2.946994, 2.685517, 
    2.451489, 2.277812, 2.172631, 2.117138, 2.111835, 2.151383, 2.217927, 
    2.297764, 2.381998, 2.442137, 2.468695, 2.466225, 2.431226, 2.375544, 
    2.318718, 2.260152, 2.19855, 2.145601, 2.106148, 2.074739, 2.050617, 
    2.034035, 2.024992, 2.01944, 2.020535, 2.027776, 2.037466, 2.048208, 
    2.062804, 2.078052, 2.087955, 2.090863, 2.078924, 2.046691, 2.003008, 
    1.953725, 1.899487, 1.857138, 1.844768, 1.869127, 1.939161, 2.047225, 
    2.179732, 2.322735, 2.462194, 2.571027, 2.616953, 2.581021, 2.452484, 
    2.266976, 2.067975, 1.853234, 1.621452, 1.418655, 1.273885, 1.185089, 
    1.179116, 1.239475, 1.320726, 1.415277, 1.535433, 1.678272, 1.809168, 
    1.926759, 2.035695, 2.118028, 2.178416, 2.226901, 2.265778, 2.2715, 
    2.241145, 2.188418, 2.121385, 2.055199, 1.998517, 1.947439, 1.905163, 
    1.8792, 1.872696, 1.880552, 1.899616, 1.903439, 1.876011, 1.821272, 
    1.723928, 1.592379, 1.43381, 1.265085, 1.081955, 0.9060737, 0.7651424, 
    0.6518905, 0.5596726, 0.5128603, 0.4931732, 0.5067028, 0.5414726, 
    0.6066731, 0.6936871, 0.8286217, 1.045428, 1.296072, 1.506198, 1.692208, 
    1.844553, 1.963792, 2.046316, 2.099127, 2.098083, 2.027763, 1.941975, 
    1.87122, 1.831832, 1.824612, 1.833168, 1.843467, 1.856562, 1.860813, 
    1.852919, 1.835581, 1.807349, 1.773169, 1.738737, 1.704306, 1.668021, 
    1.63613, 1.615785, 1.610132, 1.631261, 1.686975, 1.778181, 1.907512, 
    2.076711, 2.278622, 2.483721, 2.697208, 2.930123, 3.149402, 3.313562, 
    3.400773, 3.395747, 3.29915, 3.156355, 2.990494, 2.80347, 2.61641, 
    2.443539, 2.283949, 2.157528, 2.083457, 2.051947, 2.01655, 1.94932, 
    1.855834, 1.762849, 1.683512, 1.606573, 1.545303, 1.513765, 1.494475, 
    1.503564, 1.544263, 1.601411, 1.651906, 1.704457, 1.770449, 1.848542, 
    1.920312, 2.005031, 2.097542, 2.195925, 2.295011, 2.404351, 2.503393, 
    2.570148, 2.612423, 2.646395, 2.666766, 2.671729, 2.663032, 2.639479, 
    2.604071,
  2.62974, 2.60278, 2.552913, 2.505694, 2.464427, 2.42561, 2.387541, 
    2.355375, 2.329862, 2.3082, 2.289292, 2.274234, 2.263827, 2.256223, 
    2.251773, 2.250422, 2.25007, 2.250774, 2.263643, 2.27998, 2.295061, 
    2.310142, 2.326329, 2.337395, 2.335795, 2.33314, 2.328177, 2.307989, 
    2.288602, 2.270966, 2.275229, 2.298101, 2.327565, 2.354278, 2.348397, 
    2.320198, 2.285702, 2.243154, 2.18321, 2.087614, 1.978404, 1.857291, 
    1.736771, 1.654541, 1.600228, 1.568312, 1.563088, 1.594852, 1.657607, 
    1.73611, 1.835862, 1.937928, 2.028956, 2.118592, 2.204134, 2.272589, 
    2.313956, 2.336431, 2.355911, 2.378089, 2.405813, 2.435976, 2.464381, 
    2.486181, 2.501823, 2.51361, 2.524146, 2.53258, 2.539015, 2.541603, 
    2.538138, 2.532227, 2.526221, 2.521266, 2.522163, 2.531464, 2.549964, 
    2.576513, 2.61452, 2.654335, 2.671788, 2.661242, 2.635146, 2.602607, 
    2.57252, 0.7668141, 0, 0, 0, 0, 3.422615, 4.003209, 4.154164, 4.263819, 
    4.396276, 4.514564, 3.447725, 2.333959, 4.211358, 4.306859, 4.157552, 
    3.965904, 3.70891, 3.402081, 3.111912, 2.843099, 2.601938, 2.420672, 
    2.306102, 2.237723, 2.215835, 2.238193, 2.287202, 2.349167, 2.41473, 
    2.458751, 2.475086, 2.467981, 2.435142, 2.386161, 2.337883, 2.289958, 
    2.242186, 2.203514, 2.176988, 2.156407, 2.140022, 2.128331, 2.121034, 
    2.114782, 2.114379, 2.118068, 2.12451, 2.132, 2.144342, 2.158237, 
    2.168988, 2.174144, 2.166556, 2.140221, 2.102788, 2.059404, 2.009868, 
    1.968924, 1.950813, 1.962786, 2.030033, 2.134446, 2.257685, 2.389669, 
    2.520207, 2.622034, 2.659763, 2.629979, 2.520923, 2.343227, 2.155242, 
    1.955719, 1.740897, 1.551622, 1.42268, 1.351523, 1.353842, 1.416496, 
    1.497996, 1.5935, 1.714298, 1.847607, 1.959407, 2.056503, 2.142138, 
    2.200173, 2.237408, 2.262042, 2.275124, 2.255361, 2.210435, 2.148009, 
    2.068927, 1.990244, 1.922314, 1.861388, 1.809913, 1.777994, 1.769487, 
    1.778136, 1.801797, 1.813065, 1.793285, 1.7434, 1.648206, 1.519218, 
    1.373106, 1.214034, 1.039411, 0.8727418, 0.7462513, 0.6537166, 0.5904433, 
    0.5749776, 0.5780396, 0.6034752, 0.6488129, 0.7190393, 0.7978799, 
    0.9095677, 1.081112, 1.282949, 1.454762, 1.611542, 1.745596, 1.858121, 
    1.944368, 2.011386, 2.038988, 2.007724, 1.9561, 1.913209, 1.892298, 
    1.89261, 1.90221, 1.911455, 1.923202, 1.927804, 1.922462, 1.909775, 
    1.887993, 1.861364, 1.833532, 1.805348, 1.775417, 1.747932, 1.730091, 
    1.724494, 1.740989, 1.786418, 1.862026, 1.967012, 2.098958, 2.250522, 
    2.40032, 2.553954, 2.718967, 2.873232, 2.986141, 3.040651, 3.025873, 
    2.950937, 2.848202, 2.733946, 2.609967, 2.491553, 2.382625, 2.279977, 
    2.199098, 2.152822, 2.129226, 2.088093, 2.008203, 1.900361, 1.79357, 
    1.700079, 1.608739, 1.537505, 1.502927, 1.484472, 1.507962, 1.56636, 
    1.640305, 1.707954, 1.779306, 1.860548, 1.940464, 2.009176, 2.087773, 
    2.166486, 2.255402, 2.348886, 2.455832, 2.55308, 2.623394, 2.675523, 
    2.718852, 2.747124, 2.756989, 2.751805, 2.728409, 2.690703,
  2.723758, 2.694354, 2.638942, 2.585728, 2.538465, 2.493649, 2.448682, 
    2.410566, 2.380153, 2.354293, 2.331832, 2.313674, 2.30112, 2.292065, 
    2.287314, 2.286116, 2.291899, 2.307171, 2.348301, 2.396483, 2.440706, 
    2.48493, 2.532459, 2.571139, 2.583259, 2.576744, 2.552658, 2.500175, 
    2.448994, 2.399913, 2.371628, 2.365151, 2.374933, 2.392775, 2.395501, 
    2.387054, 2.372004, 2.349257, 2.311166, 2.236021, 2.143217, 2.036406, 
    1.926783, 1.846374, 1.787261, 1.749848, 1.736328, 1.755146, 1.801654, 
    1.863211, 1.94617, 2.035085, 2.118014, 2.202702, 2.285043, 2.355046, 
    2.401757, 2.43308, 2.463407, 2.495732, 2.5311, 2.566112, 2.596266, 
    2.616961, 2.628848, 2.635836, 2.641123, 2.643758, 2.644794, 2.642681, 
    2.63422, 2.624158, 2.616004, 2.6096, 2.60975, 2.618999, 2.637247, 
    2.663547, 2.702595, 2.746553, 2.777522, 2.784009, 2.779669, 2.339553, 
    1.327312, 0.3964775, 0, 0, 0, 0, 3.892471, 4.477351, 4.581851, 4.64857, 
    4.740951, 4.832723, 4.828471, 4.770661, 4.66628, 4.516402, 4.345445, 
    4.13635, 3.864818, 3.550004, 3.255097, 2.983998, 2.740748, 2.555743, 
    2.436338, 2.35927, 2.324791, 2.333109, 2.368226, 2.417695, 2.471017, 
    2.506299, 2.517889, 2.510242, 2.481854, 2.440174, 2.399944, 2.361117, 
    2.323694, 2.294667, 2.276035, 2.261599, 2.250411, 2.241668, 2.23532, 
    2.22862, 2.226312, 2.226706, 2.229796, 2.23429, 2.243431, 2.254974, 
    2.26527, 2.272074, 2.268634, 2.247597, 2.216061, 2.178576, 2.135145, 
    2.097103, 2.085901, 2.111848, 2.205942, 2.335713, 2.475964, 2.622507, 
    2.769606, 2.886257, 2.930159, 2.898383, 2.780797, 2.582082, 2.378938, 
    2.168453, 1.943471, 1.743088, 1.609305, 1.539923, 1.545521, 1.608369, 
    1.689266, 1.784863, 1.898729, 2.016689, 2.112152, 2.190104, 2.252596, 
    2.286484, 2.300928, 2.302421, 2.290708, 2.25403, 2.199003, 2.125772, 
    2.03449, 1.943457, 1.864629, 1.793853, 1.732626, 1.693205, 1.680541, 
    1.687835, 1.71449, 1.731905, 1.719323, 1.675942, 1.592598, 1.476553, 
    1.3465, 1.202803, 1.044562, 0.8953726, 0.7907287, 0.721085, 0.6840473, 
    0.5725199, 0.513389, 0.743715, 0.7981762, 0.8735274, 0.9489186, 1.044947, 
    1.1879, 1.356083, 1.500978, 1.637138, 1.757209, 1.861692, 1.944627, 
    2.013219, 2.052429, 2.043864, 2.013954, 1.988237, 1.976497, 1.978996, 
    1.987742, 1.995439, 2.006337, 2.011941, 2.010001, 2.002465, 1.987081, 
    1.967849, 1.94732, 1.925387, 1.901901, 1.880016, 1.865626, 1.86138, 
    1.876226, 1.91461, 1.975574, 2.058923, 2.159258, 2.267414, 2.370267, 
    2.472409, 2.578634, 2.672749, 2.738288, 2.763623, 2.741964, 2.686805, 
    2.619579, 2.548516, 2.477074, 2.416394, 2.363018, 2.310683, 2.268517, 
    2.240642, 2.212967, 2.157977, 2.06168, 1.937436, 1.814793, 1.70545, 
    1.599261, 1.514625, 1.471658, 1.453565, 1.486927, 1.558499, 1.649495, 
    1.735242, 1.825791, 1.923486, 2.009151, 2.082915, 2.163579, 2.236334, 
    2.316169, 2.403352, 2.508396, 2.604592, 2.679653, 2.742833, 2.797213, 
    2.833985, 2.849501, 2.849613, 2.827767, 2.788614,
  2.827774, 2.79697, 2.738365, 2.680706, 2.628746, 2.578182, 2.526766, 
    2.482903, 2.447691, 2.417731, 2.391421, 2.370264, 2.355909, 2.345406, 
    2.339954, 2.339908, 2.358691, 2.400957, 2.472281, 2.550554, 2.622723, 
    2.694541, 2.771563, 2.840085, 2.877243, 2.86533, 2.810157, 2.725677, 
    2.644253, 2.56493, 2.505254, 2.469381, 2.454472, 2.452529, 2.465706, 
    2.477909, 2.48256, 2.480915, 2.465672, 2.412529, 2.337776, 2.244808, 
    2.142468, 2.058057, 1.993793, 1.950878, 1.929609, 1.93658, 1.967191, 
    2.012501, 2.080415, 2.157238, 2.231816, 2.311302, 2.389339, 2.458381, 
    2.508286, 2.547002, 2.586421, 2.62739, 2.668854, 2.707862, 2.739566, 
    2.758713, 2.767108, 2.769899, 2.770639, 2.768579, 2.76507, 2.758409, 
    2.746201, 2.732444, 2.722289, 2.714937, 2.714283, 2.722881, 2.74053, 
    2.765875, 2.804223, 2.849774, 2.887289, 2.91119, 2.933566, 2.063941, 0, 
    0, 0, 0, 0, 0, 2.057421, 3.103996, 4.919384, 4.961034, 5.027719, 
    5.105524, 5.092881, 5.014738, 4.876748, 4.694862, 4.501102, 4.275161, 
    3.992185, 3.673278, 3.378786, 3.11055, 2.870114, 2.686676, 2.56708, 
    2.484922, 2.440801, 2.438127, 2.4615, 2.500276, 2.543804, 2.57294, 
    2.582439, 2.576194, 2.553008, 2.518676, 2.486497, 2.45677, 2.429093, 
    2.407709, 2.394821, 2.385433, 2.377889, 2.371344, 2.365595, 2.359146, 
    2.353939, 2.351179, 2.350319, 2.351558, 2.357049, 2.366043, 2.375291, 
    2.383143, 2.382799, 2.367113, 2.34158, 2.310447, 2.274014, 2.241333, 
    2.249686, 2.315491, 2.446989, 2.605665, 2.766519, 2.931219, 3.097719, 
    3.234621, 3.297969, 3.260464, 3.110887, 2.885215, 2.664017, 2.438626, 
    2.199937, 1.985198, 1.83761, 1.754422, 1.752334, 1.812926, 1.888502, 
    1.974205, 2.072712, 2.17467, 2.255834, 2.317398, 2.358898, 2.369843, 
    2.363141, 2.347711, 2.321297, 2.275177, 2.210304, 2.126179, 2.022045, 
    1.918162, 1.827932, 1.746454, 1.674375, 1.626603, 1.608339, 1.613183, 
    1.64033, 1.662892, 1.661631, 1.635549, 1.578126, 1.488404, 1.379917, 
    1.257774, 1.122834, 0.9974449, 0.9141479, 0.8605744, 0.8364292, 
    0.7313129, 0.6774029, 0.9105367, 0.9671367, 1.042887, 1.116437, 1.207482, 
    1.336357, 1.481757, 1.606058, 1.727572, 1.837951, 1.935433, 2.012718, 
    2.076352, 2.11514, 2.115702, 2.098728, 2.084555, 2.077318, 2.079567, 
    2.086512, 2.093109, 2.103509, 2.110864, 2.113527, 2.111994, 2.103614, 
    2.091683, 2.078349, 2.063267, 2.046386, 2.029949, 2.018655, 2.015758, 
    2.029858, 2.06159, 2.109862, 2.174918, 2.251813, 2.329853, 2.401389, 
    2.469423, 2.536195, 2.589067, 2.620603, 2.627322, 2.602767, 2.560392, 
    2.515633, 2.471234, 2.43199, 2.406753, 2.389113, 2.371125, 2.351959, 
    2.328055, 2.288419, 2.221146, 2.108158, 1.96586, 1.82702, 1.701832, 
    1.580343, 1.483467, 1.437417, 1.422175, 1.458176, 1.536489, 1.641716, 
    1.745561, 1.854858, 1.965077, 2.056844, 2.136359, 2.222423, 2.298435, 
    2.375887, 2.455766, 2.553787, 2.64974, 2.732367, 2.807297, 2.874081, 
    2.92111, 2.942726, 2.94789, 2.930206, 2.893622,
  2.939779, 2.90863, 2.849231, 2.788977, 2.733771, 2.678562, 2.621299, 
    2.571734, 2.531974, 2.498165, 2.468056, 2.4442, 2.427694, 2.416091, 
    2.409739, 2.413805, 2.449757, 2.517567, 2.616831, 2.723046, 2.821255, 
    2.918765, 3.02353, 3.11894, 3.174725, 3.159772, 3.079019, 2.964299, 
    2.854784, 2.747017, 2.657848, 2.594234, 2.557535, 2.540805, 2.558701, 
    2.591048, 2.6166, 2.636904, 2.645715, 2.616174, 2.560069, 2.480152, 
    2.381058, 2.292096, 2.221579, 2.172062, 2.142892, 2.137259, 2.14996, 
    2.178417, 2.232083, 2.297503, 2.364086, 2.437671, 2.510408, 2.575597, 
    2.627301, 2.673069, 2.719887, 2.76725, 2.813861, 2.856269, 2.888468, 
    2.906265, 2.91261, 2.912303, 2.909647, 2.90434, 2.897583, 2.887326, 
    2.87227, 2.856366, 2.844564, 2.836261, 2.834358, 2.842257, 2.858803, 
    2.882349, 2.919244, 2.964692, 3.007052, 3.042759, 3.080812, 2.177221, 0, 
    0, 0, 0, 0, 0, 0, 1.563269, 5.228133, 5.261795, 5.314039, 5.36812, 
    5.337828, 5.236156, 5.061667, 4.843573, 4.624257, 4.380461, 4.087186, 
    3.767891, 3.479211, 3.219238, 2.986612, 2.810485, 2.695051, 2.612859, 
    2.563654, 2.55304, 2.567523, 2.597754, 2.633639, 2.659034, 2.667981, 
    2.664339, 2.647105, 2.620173, 2.595791, 2.57456, 2.555027, 2.539942, 
    2.531602, 2.52606, 2.520916, 2.515868, 2.510368, 2.503113, 2.494856, 
    2.487794, 2.482834, 2.479623, 2.481113, 2.487104, 2.495049, 2.50335, 
    2.506008, 2.496424, 2.477842, 2.454011, 2.425181, 2.405225, 2.444523, 
    2.551019, 2.720107, 2.908276, 3.090326, 3.273066, 3.457806, 3.613497, 
    3.688708, 3.644531, 3.472194, 3.220488, 2.980543, 2.739909, 2.487429, 
    2.2588, 2.097169, 1.997827, 1.975867, 2.018037, 2.078687, 2.144938, 
    2.22474, 2.309848, 2.37601, 2.422573, 2.446134, 2.438296, 2.419638, 
    2.397132, 2.366173, 2.313411, 2.241097, 2.147424, 2.030998, 1.913715, 
    1.811234, 1.717854, 1.634578, 1.578308, 1.554896, 1.556336, 1.584041, 
    1.616578, 1.634483, 1.636302, 1.61023, 1.550801, 1.46701, 1.367816, 
    1.256272, 1.151865, 1.083939, 1.037347, 1.014046, 1.024747, 1.046941, 
    1.088039, 1.144186, 1.219885, 1.29218, 1.381626, 1.501658, 1.627964, 
    1.733571, 1.840937, 1.942163, 2.033601, 2.105489, 2.163377, 2.195807, 
    2.199109, 2.192233, 2.188508, 2.187978, 2.191133, 2.19653, 2.202279, 
    2.213181, 2.223742, 2.232056, 2.237575, 2.237144, 2.232863, 2.22638, 
    2.218498, 2.208362, 2.197376, 2.188934, 2.187488, 2.200533, 2.225568, 
    2.261636, 2.309595, 2.365195, 2.41969, 2.46844, 2.512991, 2.553337, 
    2.580638, 2.592254, 2.588834, 2.56218, 2.528196, 2.497022, 2.468651, 
    2.447082, 2.439658, 2.439384, 2.438407, 2.43063, 2.404824, 2.354909, 
    2.2812, 2.157183, 1.996692, 1.841551, 1.700762, 1.563423, 1.45439, 
    1.407183, 1.393584, 1.430839, 1.512342, 1.625956, 1.743077, 1.865747, 
    1.983013, 2.080775, 2.165938, 2.257351, 2.337811, 2.416817, 2.491963, 
    2.581299, 2.68192, 2.775597, 2.862626, 2.942507, 3.001185, 3.03096, 
    3.043582, 3.033252, 3.003219,
  3.055774, 3.026029, 2.968135, 2.907688, 2.850785, 2.792831, 2.730771, 
    2.67571, 2.632002, 2.594945, 2.561186, 2.534781, 2.516478, 2.503775, 
    2.497477, 2.507841, 2.563283, 2.653731, 2.777836, 2.908738, 3.029738, 
    3.150037, 3.279389, 3.397839, 3.465913, 3.44961, 3.348817, 3.20761, 
    3.073005, 2.939449, 2.823441, 2.735288, 2.6803, 2.653331, 2.670832, 
    2.722326, 2.769628, 2.812733, 2.847646, 2.843257, 2.807106, 2.740487, 
    2.644194, 2.550332, 2.472867, 2.415698, 2.376871, 2.354174, 2.346475, 
    2.355928, 2.393737, 2.446908, 2.505839, 2.572822, 2.638904, 2.699242, 
    2.753802, 2.805561, 2.857821, 2.90978, 2.959835, 3.003583, 3.035985, 
    3.053939, 3.059088, 3.057589, 3.053187, 3.046688, 3.038839, 3.027491, 
    3.010839, 2.993586, 2.980583, 2.971432, 2.96843, 2.975175, 2.989318, 
    3.010461, 3.044804, 3.089301, 3.135058, 3.173815, 3.212866, 2.773818, 
    0.8391582, 0, 0, 0, 0, 0, 0.2942203, 3.746159, 5.629776, 5.636739, 
    5.636247, 5.631485, 5.559228, 5.421881, 5.209742, 4.941446, 4.680768, 
    4.405415, 4.092698, 3.767064, 3.482564, 3.235197, 3.014881, 2.854683, 
    2.761019, 2.6978, 2.66277, 2.661629, 2.682525, 2.711437, 2.741977, 
    2.765774, 2.774776, 2.773982, 2.762745, 2.743513, 2.72633, 2.711943, 
    2.698907, 2.687761, 2.680104, 2.673493, 2.666277, 2.65806, 2.649044, 
    2.636876, 2.623258, 2.611145, 2.603241, 2.598495, 2.598649, 2.604858, 
    2.61452, 2.626637, 2.635659, 2.634382, 2.624104, 2.608926, 2.589802, 
    2.588447, 2.668794, 2.814586, 3.018715, 3.234527, 3.43607, 3.634455, 
    3.834739, 4.005419, 4.083924, 4.029754, 3.847241, 3.57937, 3.322333, 
    3.068102, 2.803575, 2.563851, 2.389472, 2.272831, 2.217935, 2.22118, 
    2.255405, 2.2998, 2.35885, 2.425905, 2.47672, 2.508286, 2.516201, 
    2.500852, 2.480401, 2.456801, 2.424052, 2.367244, 2.289633, 2.18857, 
    2.061898, 1.932122, 1.817293, 1.712268, 1.619147, 1.559451, 1.534505, 
    1.536517, 1.570391, 1.619181, 1.659131, 1.687539, 1.692609, 1.660368, 
    1.596604, 1.516741, 1.422619, 1.332092, 1.271956, 1.22791, 1.20456, 
    1.211894, 1.223149, 1.254004, 1.299104, 1.364155, 1.425711, 1.51004, 
    1.618052, 1.725356, 1.818087, 1.919592, 2.016746, 2.107002, 2.177608, 
    2.236323, 2.263266, 2.271587, 2.274662, 2.281235, 2.29021, 2.299635, 
    2.309509, 2.320082, 2.334345, 2.349758, 2.364323, 2.376788, 2.384156, 
    2.387674, 2.388139, 2.386853, 2.382868, 2.37728, 2.371686, 2.370986, 
    2.380675, 2.396547, 2.418863, 2.44922, 2.48367, 2.516572, 2.544924, 
    2.569428, 2.588983, 2.598496, 2.598777, 2.589267, 2.563174, 2.536191, 
    2.513807, 2.495275, 2.483994, 2.485912, 2.494629, 2.502297, 2.502563, 
    2.472197, 2.416636, 2.341136, 2.212178, 2.035292, 1.864558, 1.708525, 
    1.554434, 1.431049, 1.380188, 1.366789, 1.405691, 1.488544, 1.605446, 
    1.725138, 1.851235, 1.972188, 2.073944, 2.164155, 2.259763, 2.343518, 
    2.42397, 2.500931, 2.456522, 1.759538, 2.807556, 2.907941, 3.001926, 
    3.073862, 3.114438, 3.137515, 3.135686, 3.112703,
  3.170755, 3.144868, 3.091482, 3.032837, 2.975789, 2.916638, 2.851282, 
    2.792476, 2.745771, 2.706066, 2.669762, 2.641359, 2.621755, 2.608104, 
    2.603058, 2.618366, 2.687789, 2.796777, 2.940864, 3.091704, 3.230687, 
    3.369322, 3.51821, 3.654643, 3.733318, 3.714309, 3.596624, 3.434284, 
    3.278943, 3.124302, 2.986108, 2.879023, 2.810549, 2.776737, 2.798806, 
    2.868445, 2.937142, 3.003745, 3.066058, 3.088269, 3.073368, 3.020299, 
    2.927759, 2.829852, 2.746139, 2.680972, 2.626426, 2.58112, 2.551216, 
    2.539868, 2.559626, 2.6008, 2.651581, 2.71041, 2.768391, 2.827648, 
    2.886056, 2.941313, 2.996819, 3.051723, 3.102572, 3.145721, 3.179425, 
    3.198275, 3.202823, 3.201423, 3.196723, 3.190172, 3.182321, 3.171672, 
    3.154773, 3.136421, 3.122821, 3.113069, 3.109368, 3.114566, 3.126312, 
    3.144706, 3.17625, 3.218594, 3.266547, 3.306797, 3.345344, 3.384289, 
    2.581598, 0.5273721, 0, 0, 0, 0, 0.6094568, 6.084336, 6.044384, 5.997073, 
    5.927446, 5.851981, 5.731065, 5.553126, 5.294051, 4.967125, 4.655118, 
    4.341042, 4.000632, 3.661705, 3.373437, 3.128567, 2.912955, 2.785553, 
    2.7316, 2.705288, 2.703772, 2.729888, 2.772391, 2.815594, 2.857103, 
    2.890951, 2.901054, 2.90276, 2.896469, 2.884836, 2.874601, 2.865763, 
    2.856266, 2.845665, 2.834857, 2.823346, 2.809682, 2.793915, 2.777798, 
    2.758182, 2.737517, 2.721562, 2.712762, 2.709214, 2.711721, 2.721427, 
    2.735787, 2.754349, 2.772269, 2.781293, 2.781117, 2.77569, 2.768318, 
    2.786212, 2.905796, 3.089428, 3.326349, 3.567806, 3.787044, 3.999625, 
    4.213603, 4.396881, 4.476883, 4.413712, 4.229969, 3.963495, 3.698646, 
    3.431668, 3.15519, 2.904062, 2.717535, 2.580332, 2.483585, 2.43666, 
    2.427889, 2.442256, 2.478451, 2.525805, 2.560918, 2.578186, 2.578385, 
    2.564641, 2.545398, 2.523355, 2.492362, 2.434514, 2.353158, 2.247299, 
    2.113438, 1.975727, 1.855631, 1.748847, 1.656169, 1.601338, 1.581457, 
    1.589924, 1.633897, 1.697424, 1.754805, 1.800277, 1.824144, 1.809718, 
    1.75864, 1.69111, 1.608536, 1.527405, 1.472716, 1.430622, 1.406217, 
    1.400121, 1.390873, 1.401575, 1.425025, 1.468173, 1.509425, 1.573403, 
    1.660495, 1.750462, 1.840267, 1.944775, 2.044734, 2.138343, 2.212303, 
    2.276463, 2.311707, 2.328927, 2.342903, 2.359675, 2.379249, 2.399524, 
    2.419246, 2.439668, 2.462343, 2.485868, 2.507837, 2.526651, 2.541166, 
    2.551981, 2.559146, 2.563509, 2.56527, 2.564179, 2.560934, 2.558728, 
    2.560854, 2.563923, 2.570334, 2.581991, 2.595696, 2.608099, 2.616907, 
    2.622918, 2.625335, 2.622915, 2.615801, 2.603096, 2.580856, 2.560721, 
    2.545086, 2.534002, 2.529967, 2.538429, 2.553391, 2.568005, 2.574015, 
    2.5368, 2.473627, 2.393656, 2.258034, 2.067758, 1.885036, 1.716311, 
    1.546982, 1.40905, 1.347663, 1.327582, 1.361658, 1.440989, 1.554322, 
    1.66976, 1.794256, 1.915856, 2.021819, 2.120798, 2.225582, 2.316961, 
    2.402935, 2.487508, 1.281817, 0.4139213, 1.40338, 2.505403, 3.049794, 
    3.136477, 3.189156, 3.223983, 3.23256, 3.218132,
  3.278725, 3.257734, 3.211803, 3.157768, 3.102524, 3.043777, 2.977779, 
    2.918031, 2.869779, 2.828528, 2.791277, 2.762077, 2.741777, 2.727777, 
    2.723276, 2.741932, 2.817788, 2.938102, 3.09482, 3.257836, 3.407851, 
    3.557515, 3.71803, 3.865546, 3.951906, 3.930102, 3.800032, 3.624061, 
    3.454589, 3.285817, 3.131992, 3.009156, 2.930485, 2.893834, 2.925508, 
    3.011391, 3.099329, 3.188677, 3.278587, 3.330106, 3.341574, 3.306472, 
    3.22034, 3.121442, 3.033386, 2.958611, 2.883767, 2.814265, 2.760714, 
    2.727113, 2.728172, 2.758199, 2.800329, 2.849457, 2.902453, 2.964258, 
    3.025312, 3.083217, 3.14067, 3.195566, 3.245312, 3.28771, 3.32226, 
    3.340457, 3.343803, 3.341198, 3.335243, 3.327689, 3.318786, 3.307783, 
    3.290631, 3.27153, 3.258533, 3.249035, 3.245235, 3.249384, 3.260032, 
    3.27663, 3.305273, 3.345571, 3.394773, 3.436629, 3.47433, 3.512128, 
    2.637571, 0.5227093, 0, 0, 0, 0, 0.315119, 3.142528, 4.669682, 6.162076, 
    6.056691, 5.938111, 5.786941, 5.577991, 5.275373, 4.90882, 4.561219, 
    4.219923, 3.857385, 3.507312, 3.211848, 2.959083, 2.74952, 2.654617, 
    2.635727, 2.649065, 2.684847, 2.743023, 2.811284, 2.878839, 2.9475, 
    3.006112, 3.031526, 3.042209, 3.042177, 3.039149, 3.035111, 3.030016, 
    3.021267, 3.010216, 2.996611, 2.980552, 2.960588, 2.93697, 2.913303, 
    2.888245, 2.86324, 2.845287, 2.835783, 2.832935, 2.837789, 2.850847, 
    2.869305, 2.892664, 2.91838, 2.937501, 2.948124, 2.953499, 2.957823, 
    2.993408, 3.147779, 3.365147, 3.63246, 3.897911, 4.133997, 4.359574, 
    4.585951, 4.780825, 4.863082, 4.792721, 4.615191, 4.365439, 4.108674, 
    3.835072, 3.546697, 3.281011, 3.073545, 2.908425, 2.769183, 2.666109, 
    2.599875, 2.567602, 2.574678, 2.60088, 2.623109, 2.634514, 2.636372, 
    2.626383, 2.610391, 2.592653, 2.566668, 2.511025, 2.430686, 2.329012, 
    2.200948, 2.067929, 1.95355, 1.85492, 1.772243, 1.726615, 1.715133, 
    1.728839, 1.773671, 1.839405, 1.901596, 1.952248, 1.982358, 1.976975, 
    1.935144, 1.877216, 1.804986, 1.733359, 1.684725, 1.644478, 1.611746, 
    1.584347, 1.5536, 1.54245, 1.542447, 1.561592, 1.576624, 1.604587, 
    1.660004, 1.741349, 1.833705, 1.942516, 2.047228, 2.146142, 2.225255, 
    2.300545, 2.358903, 2.3912, 2.413913, 2.438023, 2.465283, 2.493795, 
    2.520454, 2.547813, 2.578725, 2.610085, 2.637742, 2.660847, 2.679551, 
    2.694103, 2.704251, 2.710899, 2.714496, 2.714141, 2.710485, 2.705428, 
    2.700671, 2.695364, 2.690703, 2.689187, 2.688568, 2.686249, 2.682133, 
    2.676269, 2.667552, 2.656634, 2.643572, 2.630174, 2.613839, 2.600404, 
    2.59162, 2.587384, 2.589898, 2.603509, 2.623168, 2.643178, 2.651227, 
    2.605455, 2.531129, 2.440702, 2.293926, 2.091849, 1.899026, 1.718097, 
    1.529943, 1.372288, 1.294854, 1.261877, 1.285756, 1.356989, 1.463526, 
    1.57497, 1.698219, 1.825141, 1.940319, 2.051645, 2.170423, 2.274149, 
    2.369919, 2.462883, 1.275906, 0, 0, 2.086697, 3.076626, 3.179365, 
    3.245847, 3.29413, 3.315911, 3.313291,
  3.375692, 3.359252, 3.322221, 3.27609, 3.225504, 3.169663, 3.106221, 
    3.048177, 3.000782, 2.960387, 2.923791, 2.895243, 2.875295, 2.861646, 
    2.856997, 2.877097, 2.954297, 3.076643, 3.235634, 3.399724, 3.551265, 
    3.702107, 3.863899, 4.012537, 4.099481, 4.076178, 3.941879, 3.76138, 
    3.587232, 3.412729, 3.248761, 3.113242, 3.028185, 2.993896, 3.034611, 
    3.133886, 3.239021, 3.349061, 3.465566, 3.55049, 3.593759, 3.579249, 
    3.50242, 3.407033, 3.316077, 3.2293, 3.135564, 3.044171, 2.968428, 
    2.913687, 2.898559, 2.918589, 2.952322, 2.995519, 3.049878, 3.113883, 
    3.177339, 3.237644, 3.296598, 3.351, 3.397841, 3.437331, 3.468668, 
    3.482552, 3.482291, 3.475729, 3.465767, 3.454757, 3.442998, 3.430193, 
    3.41214, 3.393142, 3.380993, 3.372696, 3.369197, 3.373198, 3.382996, 
    3.398041, 3.424238, 3.461779, 3.508968, 3.549858, 3.585248, 3.620287, 
    2.750748, 1.872859, 0.1877377, 0, 0, 0, 0, 0, 3.113498, 6.164687, 
    6.040842, 5.906153, 5.739357, 5.499374, 5.162848, 4.770188, 4.400596, 
    4.042921, 3.670014, 3.308638, 3.006022, 2.756299, 2.567751, 2.493794, 
    2.495924, 2.534798, 2.596076, 2.688648, 2.787367, 2.881878, 2.978386, 
    3.065848, 3.120107, 3.153722, 3.17409, 3.188442, 3.188799, 3.186004, 
    3.178107, 3.166505, 3.151805, 3.133605, 3.110054, 3.082253, 3.054301, 
    3.02705, 3.000749, 2.981648, 2.971799, 2.969299, 2.974849, 2.989448, 
    3.010299, 3.036051, 3.065652, 3.092716, 3.112833, 3.128753, 3.144679, 
    3.19345, 3.373189, 3.621203, 3.918117, 4.208623, 4.46191, 4.70084, 
    4.939366, 5.146545, 5.239031, 5.170498, 4.999607, 4.762917, 4.514318, 
    4.235246, 3.926937, 3.636317, 3.398352, 3.199929, 3.01844, 2.864696, 
    2.747259, 2.666926, 2.643117, 2.655304, 2.672352, 2.685906, 2.691414, 
    2.685923, 2.673882, 2.662547, 2.645772, 2.600608, 2.532249, 2.44674, 
    2.336883, 2.219519, 2.116396, 2.027267, 1.954738, 1.917402, 1.909198, 
    1.920231, 1.955256, 2.011282, 2.068118, 2.117962, 2.151517, 2.152277, 
    2.118643, 2.070312, 2.008486, 1.945149, 1.899196, 1.856733, 1.807444, 
    1.757898, 1.705301, 1.671956, 1.646701, 1.632263, 1.613536, 1.60356, 
    1.627106, 1.700528, 1.796386, 1.910096, 2.020709, 2.128483, 2.223236, 
    2.320089, 2.405397, 2.461954, 2.495687, 2.524849, 2.557261, 2.590369, 
    2.621228, 2.652786, 2.688245, 2.723852, 2.754508, 2.779913, 2.799563, 
    2.814313, 2.82351, 2.828856, 2.8304, 2.826742, 2.819734, 2.811677, 
    2.803269, 2.795114, 2.786709, 2.778998, 2.770533, 2.760118, 2.749154, 
    2.73679, 2.721077, 2.703918, 2.688369, 2.675972, 2.665833, 2.659398, 
    2.657913, 2.660277, 2.669291, 2.68745, 2.709953, 2.731399, 2.737693, 
    2.682173, 2.5964, 2.496988, 2.335351, 2.116105, 1.905502, 1.12863, 
    1.401013, 1.297242, 1.205515, 1.162097, 1.17954, 1.243275, 1.344213, 
    1.45567, 1.584243, 1.723423, 1.851551, 1.975479, 2.107256, 2.221877, 
    2.326144, 2.425858, 2.40718, 0.9222698, 0, 1.038605, 1.693923, 3.193849, 
    3.276536, 3.340671, 3.377856, 3.390641,
  3.451624, 3.440084, 3.417625, 3.385664, 3.342481, 3.292647, 3.234208, 
    3.180571, 3.136781, 3.099639, 3.065747, 3.039202, 3.020807, 3.008361, 
    3.004815, 3.023961, 3.099805, 3.215533, 3.36455, 3.518419, 3.660689, 
    3.80226, 3.954178, 4.091994, 4.172324, 4.147671, 4.018591, 3.843462, 
    3.673879, 3.500788, 3.330228, 3.186714, 3.098608, 3.068967, 3.117634, 
    3.227755, 3.34743, 3.47446, 3.61626, 3.736783, 3.811144, 3.816887, 
    3.749706, 3.655247, 3.559935, 3.462518, 3.354796, 3.24672, 3.154093, 
    3.085626, 3.060613, 3.073654, 3.103805, 3.148665, 3.208328, 3.276942, 
    3.344352, 3.408262, 3.470622, 3.52753, 3.572129, 3.606217, 3.628192, 
    3.631815, 3.623042, 3.60832, 3.590248, 3.571578, 3.553461, 3.537452, 
    3.518752, 3.500754, 3.489205, 3.482208, 3.47921, 3.48351, 3.492459, 
    3.505956, 3.5297, 3.563744, 3.605432, 3.641171, 3.671661, 3.701701, 
    3.730391, 2.426116, 0.1861893, 0, 0, 0, 0, 0, 1.550167, 5.217575, 
    6.015101, 5.86593, 5.671362, 5.387513, 5.012279, 4.589012, 4.197815, 
    3.827639, 3.450629, 3.084183, 2.776779, 2.535538, 2.367972, 2.311051, 
    2.325873, 2.375343, 2.44741, 2.560173, 2.683958, 2.809526, 2.937397, 
    3.057722, 3.142488, 3.206951, 3.26042, 3.304038, 3.320999, 3.325675, 
    3.318977, 3.307629, 3.293532, 3.275934, 3.252587, 3.225541, 3.198546, 
    3.1719, 3.146253, 3.127807, 3.118307, 3.115807, 3.121307, 3.135306, 
    3.155552, 3.180698, 3.209795, 3.238438, 3.262036, 3.282133, 3.303481, 
    3.356879, 3.550799, 3.826299, 4.152809, 4.470515, 4.745015, 5.003063, 
    5.261419, 5.49038, 5.606492, 5.551429, 5.386545, 5.155007, 4.906306, 
    4.617336, 4.282134, 3.957714, 3.686592, 3.451513, 3.226924, 3.029938, 
    2.873765, 2.756445, 2.705942, 2.710374, 2.726873, 2.74303, 2.75294, 
    2.752301, 2.745916, 2.742333, 2.740018, 2.713759, 2.665552, 2.600194, 
    2.510284, 2.410169, 2.320698, 2.242071, 2.177082, 2.143283, 2.131974, 
    2.134657, 2.157731, 2.201706, 2.250889, 2.296577, 2.330675, 2.335582, 
    2.309397, 2.269563, 2.218483, 2.164107, 2.121976, 2.073865, 2.006279, 
    1.935034, 1.860842, 1.800275, 1.740387, 1.682395, 1.624761, 1.576579, 
    1.573825, 1.634048, 1.734609, 1.853721, 1.978666, 2.10532, 2.225271, 
    2.347323, 2.46038, 2.543985, 2.593718, 2.627676, 2.664734, 2.701792, 
    2.736248, 2.771405, 2.810311, 2.849468, 2.882522, 2.909273, 2.928571, 
    2.942367, 2.949511, 2.952456, 2.950346, 2.942186, 2.931228, 2.919218, 
    2.90681, 2.895502, 2.884697, 2.873544, 2.861041, 2.846891, 2.832942, 
    2.817945, 2.799697, 2.781301, 2.766954, 2.756108, 2.749462, 2.747666, 
    2.750469, 2.756771, 2.769222, 2.78912, 2.810211, 2.827097, 2.827931, 
    2.762861, 2.666138, 2.558919, 2.380587, 2.13874, 1.451157, 0.2712916, 
    0.69872, 1.189211, 1.084987, 1.033973, 1.049121, 1.106609, 1.201195, 
    1.315049, 1.45447, 1.607548, 1.749025, 1.887006, 2.031983, 2.156302, 
    2.268117, 2.374329, 2.492386, 2.220304, 1.370805, 0.4192992, 0.31444, 
    3.17141, 3.272449, 3.353885, 3.408824, 3.439914,
  3.493545, 3.49077, 3.490518, 3.480366, 3.449447, 3.406961, 3.355176, 
    3.307889, 3.268998, 3.235705, 3.205613, 3.181768, 3.165773, 3.155026, 
    3.152577, 3.170627, 3.241261, 3.342325, 3.472031, 3.606837, 3.731596, 
    3.855656, 3.98811, 4.107018, 4.173182, 4.145925, 4.025891, 3.861062, 
    3.700229, 3.533446, 3.362052, 3.215503, 3.126506, 3.098052, 3.153261, 
    3.275539, 3.411327, 3.556219, 3.722366, 3.87447, 3.972002, 3.997438, 
    3.944576, 3.851038, 3.751081, 3.645516, 3.527596, 3.407776, 3.306016, 
    3.23437, 3.206069, 3.215966, 3.247018, 3.298735, 3.367308, 3.444076, 
    3.518093, 3.588609, 3.658077, 3.721545, 3.768907, 3.796292, 3.802404, 
    3.791021, 3.769042, 3.741814, 3.711185, 3.680006, 3.651432, 3.628814, 
    3.610265, 3.594019, 3.583422, 3.577373, 3.575526, 3.579475, 3.587924, 
    3.600221, 3.621217, 3.651708, 3.687397, 3.71889, 3.744682, 3.770124, 
    3.794114, 1.141233, 0, 0, 0, 0, 0, 0, 1.552827, 3.063886, 5.679734, 
    5.825258, 5.593829, 5.259124, 4.841388, 4.38683, 3.974542, 3.593425, 
    3.213925, 2.850985, 2.542534, 2.305844, 2.154324, 2.110749, 2.136119, 
    2.194735, 2.274851, 2.394364, 2.528672, 2.672428, 2.820037, 2.97445, 
    3.091814, 3.187826, 3.275243, 3.352359, 3.399569, 3.425779, 3.436495, 
    3.439749, 3.426751, 3.410605, 3.389059, 3.364114, 3.339518, 3.314923, 
    3.291227, 3.27443, 3.265532, 3.263283, 3.268281, 3.281328, 3.299775, 
    3.323122, 3.349766, 3.375962, 3.398008, 3.416906, 3.437003, 3.489703, 
    3.688251, 3.983079, 4.338134, 4.68389, 4.983942, 5.267194, 5.554052, 
    5.814618, 5.962432, 5.933148, 5.780229, 5.553135, 5.302027, 5.001551, 
    4.637337, 4.276663, 3.968536, 3.694008, 3.426375, 3.187091, 2.995724, 
    2.847771, 2.775084, 2.77388, 2.791886, 2.812347, 2.828511, 2.835129, 
    2.836697, 2.842115, 2.854239, 2.846572, 2.817555, 2.770688, 2.700025, 
    2.616406, 2.540681, 2.4723, 2.413815, 2.381821, 2.367217, 2.363107, 
    2.374736, 2.406814, 2.447397, 2.487285, 2.51948, 2.527586, 2.507897, 
    2.476314, 2.435585, 2.392807, 2.360226, 2.312589, 2.22886, 2.127686, 
    2.02381, 1.927284, 1.823747, 1.721161, 1.622229, 1.53345, 1.498977, 
    1.554484, 1.66938, 1.803527, 1.95318, 2.106533, 2.251332, 2.398932, 
    2.539886, 2.64813, 2.707989, 2.745796, 2.786252, 2.826557, 2.863761, 
    2.901666, 2.943271, 2.984421, 3.018773, 3.045422, 3.063469, 3.074612, 
    3.078504, 3.077846, 3.070836, 3.057475, 3.041463, 3.024754, 3.008347, 
    2.993891, 2.980937, 2.968335, 2.954633, 2.940533, 2.927687, 2.914491, 
    2.898247, 2.882404, 2.870208, 2.861513, 2.857018, 2.857623, 2.861977, 
    2.869128, 2.881226, 2.900173, 2.917216, 2.926902, 2.919887, 2.845218, 
    2.736894, 2.620176, 2.42991, 2.166621, 1.005773, 0, 0.1105278, 1.072271, 
    0.9557466, 0.8994387, 0.9130854, 0.9625646, 1.046939, 1.161086, 1.310103, 
    1.475174, 1.629748, 1.781172, 1.939197, 2.073217, 2.191829, 2.303087, 
    2.423289, 2.560191, 2.689088, 0.8223999, 0.1553871, 2.041816, 3.22687, 
    3.327662, 3.403305, 3.456102,
  3.502491, 3.513368, 3.537916, 3.551862, 3.540154, 3.507779, 3.463042, 
    3.421852, 3.387961, 3.35862, 3.332527, 3.311684, 3.297486, 3.288188, 
    3.286491, 3.302483, 3.36045, 3.441157, 3.54706, 3.658715, 3.761521, 
    3.863626, 3.972581, 4.068384, 4.117856, 4.089659, 3.979381, 3.826205, 
    3.675928, 3.518999, 3.353868, 3.210578, 3.124236, 3.096342, 3.152938, 
    3.285651, 3.434262, 3.592322, 3.774086, 3.944906, 4.056828, 4.098406, 
    4.064842, 3.982473, 3.883182, 3.77584, 3.656001, 3.533962, 3.431971, 
    3.36358, 3.335381, 3.343577, 3.378239, 3.439508, 3.519681, 3.606802, 
    3.689821, 3.769339, 3.84906, 3.922933, 3.976896, 3.997936, 3.984148, 
    3.954109, 3.916779, 3.8749, 3.828668, 3.782038, 3.739659, 3.706386, 
    3.68638, 3.672585, 3.663889, 3.658692, 3.657441, 3.661292, 3.668889, 
    3.679987, 3.699034, 3.725477, 3.756119, 3.784313, 3.807561, 3.829055, 
    3.848848, 1.157128, 0, 0, 0, 0, 0, 0, 1.540883, 0.9245299, 2.959032, 
    5.761246, 5.494037, 5.106387, 4.648317, 4.168527, 3.740805, 3.354402, 
    2.978164, 2.620224, 2.305551, 2.072104, 1.934729, 1.903, 1.937364, 
    2.00428, 2.091793, 2.217403, 2.35566, 2.501964, 2.652718, 2.82357, 
    2.957421, 3.078707, 3.199569, 3.309982, 3.388141, 3.445301, 3.490367, 
    3.524782, 3.528895, 3.530208, 3.514576, 3.492031, 3.469735, 3.44744, 
    3.426094, 3.410697, 3.402749, 3.400749, 3.405198, 3.416996, 3.433743, 
    3.455038, 3.479285, 3.50333, 3.523226, 3.540672, 3.559972, 3.61202, 
    3.809969, 4.111869, 4.491108, 4.86491, 5.191611, 5.501864, 5.820076, 
    6.114291, 6.295103, 6.299167, 6.170328, 5.947488, 5.691226, 5.376146, 
    4.98084, 4.580361, 4.232233, 3.917356, 3.606421, 3.325545, 3.100682, 
    2.926935, 2.836704, 2.833751, 2.856112, 2.883378, 2.908096, 2.924516, 
    2.935937, 2.951909, 2.976032, 2.983959, 2.970536, 2.939263, 2.885442, 
    2.817672, 2.754143, 2.695864, 2.64553, 2.61744, 2.602191, 2.594286, 
    2.598076, 2.620059, 2.652395, 2.686483, 2.715828, 2.725981, 2.71164, 
    2.688204, 2.658075, 2.626495, 2.604216, 2.559866, 2.454813, 2.315339, 
    2.173769, 2.038496, 1.891716, 1.745434, 1.605456, 1.475628, 1.41033, 
    1.477869, 1.616666, 1.775062, 1.951262, 2.131713, 2.301361, 2.474509, 
    2.643312, 2.773202, 2.836758, 2.877211, 2.920215, 2.962518, 3.00127, 
    3.040369, 3.082718, 3.123766, 3.157011, 3.181153, 3.196294, 3.203035, 
    3.202475, 3.196663, 3.183801, 3.164439, 3.142678, 3.120918, 3.10041, 
    3.083405, 3.069154, 3.055954, 3.042708, 3.030464, 3.01992, 3.010078, 
    2.997787, 2.986147, 2.976954, 2.971261, 2.969968, 2.972922, 2.978473, 
    2.984718, 2.993156, 3.007592, 3.01968, 3.022669, 3.008155, 2.92243, 
    2.799348, 2.673129, 2.476621, 2.19795, 1.449405, 0.7736735, 0.6636613, 
    0.9836345, 0.8543597, 0.7944034, 0.8028369, 0.8410141, 0.9125404, 
    1.019767, 1.167295, 1.33373, 1.495484, 1.658304, 1.827372, 1.972394, 
    2.095048, 2.208599, 2.328446, 2.466598, 2.593795, 1.738058, 1.403955, 
    1.950909, 2.352821, 2.793767, 3.370268, 3.446763,
  3.487956, 3.514236, 3.565236, 3.603532, 3.614123, 3.594596, 3.556909, 
    3.521671, 3.49268, 3.467537, 3.445444, 3.427599, 3.415203, 3.407356, 
    3.406407, 3.420507, 3.46494, 3.522295, 3.590001, 3.659992, 3.724093, 
    3.787846, 3.855739, 3.913697, 3.944255, 3.913944, 3.817173, 3.692453, 
    3.570183, 3.440211, 3.302394, 3.182117, 3.110213, 3.086572, 3.142122, 
    3.276265, 3.430976, 3.594436, 3.783148, 3.963213, 4.086533, 4.141255, 
    4.125334, 4.060268, 3.969641, 3.867101, 3.75256, 3.636621, 3.53943, 
    3.475137, 3.448492, 3.456343, 3.498961, 3.570631, 3.66205, 3.759016, 
    3.851031, 3.939898, 4.031019, 4.11659, 4.17685, 4.193343, 4.160811, 
    4.111378, 4.058249, 4.001623, 3.939245, 3.877267, 3.820141, 3.774217, 
    3.747148, 3.736153, 3.729606, 3.725859, 3.724911, 3.72861, 3.73561, 
    3.745407, 3.762403, 3.785547, 3.81234, 3.837385, 3.858881, 3.877276, 
    3.894322, 2.552764, 0.1974704, 0, 0, 0, 0, 0, 0, 0, 0.5734857, 5.682661, 
    5.398355, 4.97507, 4.471673, 3.958941, 3.51159, 3.117465, 2.742809, 
    2.38781, 2.068315, 1.837371, 1.709331, 1.687297, 1.728859, 1.802619, 
    1.89668, 2.02744, 2.169647, 2.318151, 2.470654, 2.642556, 2.776405, 
    2.906403, 3.05655, 3.200713, 3.31007, 3.398778, 3.478741, 3.548106, 
    3.585568, 3.620229, 3.626291, 3.607601, 3.587705, 3.567809, 3.548563, 
    3.534816, 3.527467, 3.525718, 3.529666, 3.540515, 3.555461, 3.574608, 
    3.596703, 3.618349, 3.636447, 3.652445, 3.670441, 3.721489, 3.919189, 
    4.220837, 4.590666, 4.957692, 5.28926, 5.606836, 5.93682, 6.250679, 
    6.464038, 6.500998, 6.406865, 6.22365, 5.992152, 5.685712, 5.275161, 
    4.847186, 4.46313, 4.102487, 3.743041, 3.4173, 3.163053, 2.976049, 
    2.878603, 2.876057, 2.904319, 2.940285, 2.975155, 3.002826, 3.025899, 
    3.053872, 3.090596, 3.112671, 3.113498, 3.096473, 3.05755, 3.005278, 
    2.953851, 2.90592, 2.864336, 2.842149, 2.828905, 2.819855, 2.819349, 
    2.833787, 2.858123, 2.886312, 2.912555, 2.923556, 2.913362, 2.897576, 
    2.877644, 2.85586, 2.837405, 2.790946, 2.667079, 2.49212, 2.315007, 
    2.142792, 1.954217, 1.765541, 1.588982, 1.426789, 1.345827, 1.426789, 
    1.589482, 1.772126, 1.974775, 2.181571, 2.376167, 2.57391, 2.768403, 
    2.91066, 2.975509, 3.016558, 3.059705, 3.101851, 3.139998, 3.178144, 
    3.218689, 3.257483, 3.287476, 3.307669, 3.31816, 3.319299, 3.31344, 
    3.301277, 3.281263, 3.254749, 3.226887, 3.199727, 3.174417, 3.153758, 
    3.138104, 3.125256, 3.11421, 3.105165, 3.098374, 3.093333, 3.087196, 
    3.081459, 3.077672, 3.076331, 3.078387, 3.083541, 3.088939, 3.093287, 
    3.097182, 3.106427, 3.112416, 3.110007, 3.089298, 2.992029, 2.856615, 
    2.730333, 2.53088, 2.239504, 1.896797, 1.541851, 1.208364, 0.94236, 
    0.8102234, 0.7501791, 0.7475547, 0.7723275, 0.830903, 0.9244759, 
    1.056691, 1.211412, 1.367539, 1.531021, 1.704571, 1.86074, 1.988555, 
    2.101652, 2.215484, 2.34786, 2.467736, 2.580613, 2.713745, 2.434866, 
    0.7562211, 1.138915, 3.141544, 3.404632,
  3.457435, 3.499462, 3.577659, 3.641555, 3.674094, 3.667417, 3.636829, 
    3.60784, 3.583648, 3.562606, 3.544312, 3.529167, 3.51892, 3.512522, 
    3.511924, 3.526174, 3.554634, 3.573943, 3.587392, 3.599542, 3.6105, 
    3.621458, 3.631706, 3.636158, 3.629868, 3.596015, 3.52829, 3.44802, 
    3.368343, 3.280968, 3.187546, 3.10832, 3.067134, 3.062693, 3.121605, 
    3.252249, 3.412709, 3.581568, 3.775776, 3.963287, 4.096002, 4.162221, 
    4.16245, 4.116234, 4.038105, 3.941066, 3.832127, 3.722589, 3.630899, 
    3.570356, 3.545207, 3.552403, 3.600405, 3.682372, 3.784391, 3.890408, 
    3.990723, 4.088589, 4.190506, 4.288028, 4.357802, 4.369442, 4.318356, 
    4.250423, 4.182198, 4.111172, 4.033696, 3.956769, 3.885595, 3.826321, 
    3.79372, 3.785575, 3.780828, 3.778531, 3.778281, 3.781581, 3.788331, 
    3.797179, 3.812328, 3.832623, 3.855816, 3.87761, 3.896806, 3.912652, 
    3.927548, 2.552598, 0.1960548, 0, 0, 0, 0, 0, 0, 0, 0.2837937, 2.812378, 
    2.670032, 2.454447, 4.069048, 3.746798, 3.273555, 2.867888, 2.491989, 
    2.14035, 1.824558, 1.598369, 1.477385, 1.462796, 1.510104, 1.588913, 
    1.68817, 1.823979, 1.969634, 2.120538, 2.274641, 2.447543, 2.581143, 
    2.709841, 2.871988, 3.036248, 3.176954, 3.297711, 3.412222, 3.517386, 
    3.588194, 3.656203, 3.69832, 3.701187, 3.693175, 3.67603, 3.658985, 
    3.646586, 3.639938, 3.638187, 3.642038, 3.651685, 3.665184, 3.681828, 
    3.701625, 3.72087, 3.737417, 3.752215, 3.768513, 3.818511, 4.006125, 
    4.283993, 4.599169, 4.909089, 5.20118, 5.496825, 5.81781, 6.132202, 
    6.363358, 6.43954, 6.405486, 6.308963, 6.150422, 5.900865, 5.506924, 
    5.074583, 4.671118, 4.272875, 3.853456, 3.473201, 3.195062, 3.000589, 
    2.90163, 2.899779, 2.932032, 2.97479, 3.019305, 3.059127, 3.093846, 
    3.134168, 3.18374, 3.220869, 3.236696, 3.234324, 3.211003, 3.17403, 
    3.135051, 3.097821, 3.066191, 3.051806, 3.042364, 3.035019, 3.032568, 
    3.040958, 3.058097, 3.079785, 3.101775, 3.112474, 3.104827, 3.092275, 
    3.076171, 3.057667, 3.037065, 2.987763, 2.857557, 2.664501, 2.46177, 
    2.255864, 2.033166, 1.810318, 1.610092, 1.436141, 1.35169, 1.436141, 
    1.610341, 1.812568, 2.041313, 2.273658, 2.491998, 2.706465, 2.911561, 
    3.054357, 3.117753, 3.156646, 3.196738, 3.236082, 3.271475, 3.306518, 
    3.34361, 3.378553, 3.404696, 3.420688, 3.425577, 3.420265, 3.408403, 
    3.389541, 3.361727, 3.327263, 3.292601, 3.260392, 3.229984, 3.205478, 
    3.187825, 3.175074, 3.165224, 3.158829, 3.157339, 3.15795, 3.158611, 
    3.159573, 3.162133, 3.166092, 3.172753, 3.180659, 3.185157, 3.187553, 
    3.188648, 3.194039, 3.194882, 3.188024, 3.161914, 3.055399, 2.918106, 
    2.804635, 2.486921, 1.45243, 1.48902, 0.7683754, 1.125392, 0.9323028, 
    0.8075159, 0.7478117, 0.7381102, 0.7526501, 0.7967227, 0.8747438, 
    0.9869565, 1.12327, 1.264088, 1.415412, 1.583293, 1.742987, 1.875539, 
    1.986032, 2.08851, 2.209041, 2.315467, 2.416297, 2.540131, 2.260943, 
    0.6728691, 0, 1.626339, 3.331757,
  3.414417, 3.472545, 3.578093, 3.667435, 3.720819, 3.726238, 3.7027, 
    3.67966, 3.660368, 3.643526, 3.628782, 3.616737, 3.608391, 3.603193, 
    3.603294, 3.616541, 3.627619, 3.600499, 3.557956, 3.514512, 3.473524, 
    3.432536, 3.386843, 3.336452, 3.281924, 3.240751, 3.210005, 3.173578, 
    3.134847, 3.089116, 3.038939, 3.000808, 2.995367, 3.021415, 3.086674, 
    3.214922, 3.380179, 3.553485, 3.751842, 3.944749, 4.084961, 4.162882, 
    4.180062, 4.153496, 4.08882, 3.997531, 3.896045, 3.793558, 3.708119, 
    3.652078, 3.627529, 3.632175, 3.681126, 3.77209, 3.884357, 4.000474, 
    4.10919, 4.215804, 4.328122, 4.438144, 4.520012, 4.525902, 4.456273, 
    4.370143, 4.286916, 4.201592, 4.108665, 4.016287, 3.931565, 3.859796, 
    3.826644, 3.821299, 3.818553, 3.816853, 3.817255, 3.820906, 3.827055, 
    3.835654, 3.849302, 3.867499, 3.887795, 3.906692, 3.924189, 3.937685, 
    3.950532, 1.186809, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.865718, 
    2.279149, 3.033862, 2.618144, 2.243748, 1.897757, 1.586615, 1.366826, 
    1.254742, 1.242338, 1.284111, 1.366164, 1.468668, 1.607721, 1.756125, 
    1.909429, 2.06463, 2.23803, 2.371379, 2.498777, 2.658923, 2.824969, 
    2.98764, 3.140545, 3.289755, 3.430715, 3.534872, 3.63658, 3.716745, 
    3.758112, 3.778874, 3.771251, 3.756855, 3.746009, 3.740411, 3.738662, 
    3.74236, 3.750357, 3.762153, 3.7764, 3.793595, 3.810391, 3.825138, 
    3.838134, 3.853382, 3.900926, 4.063324, 4.283407, 4.52623, 4.763808, 
    4.993099, 5.243047, 5.532053, 5.83482, 6.068874, 6.191705, 6.24742, 
    6.250038, 6.18144, 6.016241, 5.681183, 5.280181, 4.876093, 4.456563, 
    3.980083, 3.534913, 3.229809, 3.019928, 2.913963, 2.91091, 2.94401, 
    2.989361, 3.040971, 3.091135, 3.136302, 3.18812, 3.251345, 3.30377, 
    3.334394, 3.347872, 3.341803, 3.32043, 3.294754, 3.269425, 3.249496, 
    3.244413, 3.240324, 3.236581, 3.234282, 3.238277, 3.247812, 3.261195, 
    3.275378, 3.280661, 3.270751, 3.255594, 3.236637, 3.216285, 3.194733, 
    3.145185, 3.014438, 2.819689, 2.609242, 2.388646, 2.153199, 1.917952, 
    1.710754, 1.537156, 1.452456, 1.537156, 1.711005, 1.919852, 2.159997, 
    2.404094, 2.632239, 2.849883, 3.05298, 3.193075, 3.253469, 3.288663, 
    3.324656, 3.359648, 3.391442, 3.422536, 3.455529, 3.486121, 3.508164, 
    3.519356, 3.518045, 3.506084, 3.487372, 3.461309, 3.424742, 3.381626, 
    3.340316, 3.303558, 3.269003, 3.241648, 3.222546, 3.209396, 3.2008, 
    3.197506, 3.201565, 3.208075, 3.215085, 3.222396, 3.230104, 3.239212, 
    3.251069, 3.261773, 3.266375, 3.268177, 3.267426, 3.26847, 3.265865, 
    3.255912, 3.226059, 3.117766, 2.237837, 1.416455, 1.199995, 0.3203542, 
    0.5339236, 0, 0.5245557, 0.4649595, 0.599779, 0.7554649, 0.7445621, 
    0.7554091, 0.7874948, 0.8489662, 0.940883, 1.055344, 1.177862, 1.313333, 
    1.467706, 1.620237, 1.751531, 1.860432, 1.958939, 2.06842, 2.162251, 
    2.251882, 2.366466, 2.511358, 1.297853, 1.001603, 1.673126, 3.245544,
  3.367426, 3.4413, 3.573843, 3.686529, 3.757053, 3.771213, 3.754574, 
    3.737334, 3.722841, 3.710449, 3.699255, 3.69031, 3.683862, 3.679865, 
    3.680565, 3.689655, 3.68382, 3.624431, 3.539984, 3.4436, 3.35257, 
    3.26154, 3.162605, 3.061928, 2.968776, 2.912398, 2.898802, 2.89218, 
    2.892091, 2.885703, 2.87727, 2.877581, 2.902322, 2.953309, 3.030689, 
    3.163255, 3.333415, 3.509869, 3.711273, 3.907426, 4.054187, 4.143905, 
    4.179637, 4.172418, 4.119031, 4.035196, 3.942461, 3.848476, 3.770591, 
    3.72, 3.696853, 3.699752, 3.747095, 3.84345, 3.965315, 4.09118, 4.208645, 
    4.32436, 4.447177, 4.568644, 4.65745, 4.659095, 4.574223, 4.471347, 
    4.372872, 4.272998, 4.164624, 4.056799, 3.959028, 3.879471, 3.847074, 
    3.843726, 3.842277, 3.841179, 3.84223, 3.84638, 3.852531, 3.861131, 
    3.873731, 3.890027, 3.908274, 3.925472, 3.94167, 3.953869, 3.965016, 
    2.589488, 0.1998048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8976302, 
    2.805122, 2.402582, 2.051104, 1.709961, 1.402265, 1.188725, 1.086994, 
    1.076052, 1.103781, 1.170679, 1.25622, 1.382375, 1.531623, 1.686124, 
    1.841122, 2.01387, 2.146117, 2.272064, 2.42996, 2.594008, 2.768627, 
    2.953078, 3.137737, 3.314446, 3.452101, 3.588358, 3.706772, 3.787236, 
    3.844346, 3.853475, 3.84178, 3.832782, 3.828384, 3.827135, 3.829833, 
    3.836381, 3.846128, 3.858324, 3.872169, 3.886414, 3.89911, 3.909706, 
    3.923202, 3.963133, 4.086254, 4.239096, 4.410333, 4.579475, 4.748332, 
    4.940641, 5.174701, 5.447082, 5.68158, 5.850354, 5.989871, 6.085514, 
    6.103301, 6.024139, 5.773178, 5.437047, 5.05601, 4.630471, 4.117377, 
    3.611242, 3.270326, 3.037581, 2.920509, 2.915255, 2.948003, 2.994406, 
    3.049659, 3.106567, 3.159777, 3.22104, 3.296858, 3.362879, 3.406599, 
    3.434921, 3.445747, 3.440975, 3.429699, 3.417723, 3.410695, 3.41531, 
    3.418273, 3.419482, 3.417984, 3.418076, 3.420016, 3.423348, 3.42683, 
    3.422465, 3.406705, 3.387449, 3.365746, 3.344897, 3.32395, 3.275703, 
    3.146906, 2.954412, 2.746969, 2.529024, 2.29618, 2.063385, 1.858491, 
    1.686143, 1.602246, 1.686143, 1.858991, 2.065085, 2.301978, 2.54267, 
    2.767465, 2.981407, 3.18135, 3.317793, 3.375189, 3.406683, 3.438576, 
    3.469219, 3.497163, 3.524406, 3.552998, 3.579192, 3.597135, 3.603527, 
    3.596418, 3.577405, 3.551594, 3.517731, 3.471766, 3.41935, 3.371038, 
    3.330081, 3.292025, 3.262322, 3.24202, 3.229071, 3.222474, 3.223833, 
    3.234044, 3.246354, 3.258561, 3.270616, 3.28182, 3.294775, 3.309076, 
    3.322029, 3.327581, 3.330332, 3.329734, 3.328984, 3.325084, 3.314535, 
    3.284839, 3.184608, 1.550308, 0, 0, 0, 0, 0, 0, 0, 0.391759, 0.7646158, 
    0.7516115, 0.7601568, 0.786, 0.8356387, 0.908809, 1.001776, 1.104391, 
    1.221709, 1.359331, 1.498154, 1.621032, 1.727122, 1.827772, 1.927358, 
    2.010491, 2.090829, 2.199224, 1.989269, 1.262274, 2.332853, 2.954916, 
    3.15741,
  3.326442, 3.414312, 3.570546, 3.702121, 3.784035, 3.803993, 3.793051, 
    3.781509, 3.771817, 3.763523, 3.755678, 3.749382, 3.745085, 3.742538, 
    3.743338, 3.745977, 3.720549, 3.639117, 3.528479, 3.395093, 3.26941, 
    3.138109, 2.991991, 2.847628, 2.724181, 2.651155, 2.637702, 2.64236, 
    2.664673, 2.681738, 2.706629, 2.739223, 2.787307, 2.857082, 2.949751, 
    3.092016, 3.267875, 3.44723, 3.64978, 3.847632, 3.999638, 4.100907, 
    4.15674, 4.169624, 4.12524, 4.050755, 3.968424, 3.884842, 3.816308, 
    3.772972, 3.753129, 3.755779, 3.800578, 3.896823, 4.026885, 4.163404, 
    4.29037, 4.416286, 4.551007, 4.681671, 4.771669, 4.770666, 4.676758, 
    4.557782, 4.443356, 4.327879, 4.203502, 4.079324, 3.970008, 3.886954, 
    3.855102, 3.852703, 3.851754, 3.851856, 3.853658, 3.858008, 3.864508, 
    3.873459, 3.886109, 3.901059, 3.917757, 3.933755, 3.949205, 3.961054, 
    3.971003, 3.980952, 1.999811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1516793, 
    1.884534, 2.581154, 2.241295, 1.954882, 1.651544, 1.361095, 1.149693, 
    1.054896, 1.043487, 1.052297, 1.079973, 1.11487, 1.193864, 1.312669, 
    1.453225, 1.606019, 1.775762, 1.905356, 2.029001, 2.184899, 2.346544, 
    2.526091, 2.735069, 2.955175, 3.167631, 3.339035, 3.510441, 3.667302, 
    3.787316, 3.881275, 3.917483, 3.9127, 3.905553, 3.902105, 3.901104, 
    3.903255, 3.908402, 3.916098, 3.925543, 3.936189, 3.947634, 3.957579, 
    3.966127, 3.976621, 4.001742, 4.070948, 4.1601, 4.264948, 4.371152, 
    4.48557, 4.625542, 4.806661, 5.037645, 5.273853, 5.48597, 5.690965, 
    5.863922, 5.962495, 5.965523, 5.799057, 5.537479, 5.199705, 4.783123, 
    4.248798, 3.699293, 3.319582, 3.056781, 2.926109, 2.917302, 2.949, 
    2.995749, 3.051848, 3.112252, 3.170006, 3.237563, 3.322024, 3.399039, 
    3.453554, 3.494071, 3.520245, 3.531669, 3.535143, 3.537214, 3.542532, 
    3.552435, 3.559936, 3.564638, 3.563638, 3.560436, 3.556928, 3.552019, 
    3.545354, 3.533596, 3.516901, 3.497407, 3.476312, 3.457317, 3.438169, 
    3.392073, 3.266381, 3.079843, 2.885728, 2.680063, 2.460248, 2.240635, 
    2.048119, 1.881835, 1.799187, 1.881835, 2.048368, 2.242185, 2.465498, 
    2.69191, 2.903475, 3.103838, 3.296823, 3.428866, 3.482909, 3.510704, 
    3.538548, 3.565141, 3.588884, 3.611927, 3.636472, 3.658615, 3.672359, 
    3.674202, 3.661292, 3.635081, 3.60207, 3.560658, 3.506647, 3.445234, 
    3.390275, 3.34582, 3.304164, 3.272511, 3.251762, 3.239413, 3.235218, 
    3.242628, 3.260792, 3.2786, 3.294506, 3.30956, 3.322813, 3.337815, 
    3.353568, 3.367819, 3.374321, 3.378022, 3.378624, 3.378125, 3.374827, 
    2.176021, 1.650601, 1.6035, 0.7815146, 0, 0, 0, 0, 0, 0, 0, 0.3970079, 
    0.7740647, 0.7585609, 0.7640558, 0.7865016, 0.8292407, 0.8872712, 
    0.9621458, 1.045418, 1.143036, 1.261453, 1.383074, 1.492302, 1.592794, 
    1.693996, 1.789196, 1.861527, 1.934566, 1.937688, 0.7752345, 1.24091, 
    2.613781, 2.854158, 3.08009,
  3.29496, 3.394024, 3.568247, 3.712712, 3.802021, 3.826578, 3.820485, 
    3.813691, 3.808297, 3.803251, 3.798606, 3.794961, 3.792813, 3.791364, 
    3.791613, 3.788957, 3.749291, 3.649416, 3.51894, 3.365615, 3.221691, 
    3.066918, 2.88372, 2.701667, 2.549022, 2.460098, 2.443492, 2.45034, 
    2.47674, 2.498943, 2.538799, 2.595179, 2.661552, 2.744368, 2.848535, 
    2.999497, 3.180353, 3.362607, 3.565759, 3.763758, 3.919112, 4.032129, 
    4.109313, 4.139432, 4.106202, 4.042871, 3.972941, 3.902162, 3.844781, 
    3.810847, 3.796356, 3.800109, 3.844058, 3.938758, 4.069449, 4.208287, 
    4.33778, 4.467977, 4.608724, 4.742872, 4.831771, 4.828618, 4.730412, 
    4.604215, 4.482268, 4.358918, 4.224464, 4.09021, 3.974506, 3.888902, 
    3.85575, 3.85385, 3.853502, 3.854202, 3.856601, 3.861001, 3.867752, 
    3.876952, 3.889551, 3.9039, 3.919749, 3.93525, 3.950249, 3.961899, 
    3.971498, 3.980747, 3.590297, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.150738, 
    1.446218, 1.232473, 1.085025, 1.814388, 1.686815, 1.44341, 1.261251, 
    1.182246, 1.152599, 1.132449, 1.121051, 1.093911, 1.105758, 1.163112, 
    1.257915, 1.375663, 1.526563, 1.651604, 1.771397, 1.923839, 2.082084, 
    2.25958, 2.486457, 2.741661, 2.989665, 3.195518, 3.402071, 3.597832, 
    3.757592, 3.888499, 3.961304, 3.967622, 3.962324, 3.959826, 3.959076, 
    3.960675, 3.964423, 3.97007, 3.976767, 3.984612, 3.992857, 4.000053, 
    4.00655, 4.013544, 4.021269, 4.032934, 4.062798, 4.106158, 4.154272, 
    4.218097, 4.309575, 4.44095, 4.628681, 4.862366, 5.11327, 5.369535, 
    5.594743, 5.758623, 5.839939, 5.757717, 4.754592, 2.623959, 2.419236, 
    4.110539, 3.773139, 3.371329, 3.082197, 2.93537, 2.922714, 2.952511, 
    2.997707, 3.052905, 3.113553, 3.172501, 3.241951, 3.330703, 3.415112, 
    3.478274, 3.528837, 3.567202, 3.590816, 3.604575, 3.614829, 3.625578, 
    3.63648, 3.64483, 3.650732, 3.651036, 3.648691, 3.644346, 3.638602, 
    3.62991, 3.618118, 3.605375, 3.58948, 3.571736, 3.555238, 3.538393, 
    3.495298, 3.374557, 3.203542, 3.032228, 2.849013, 2.652801, 2.457189, 
    2.286624, 2.136005, 2.056614, 2.136005, 2.286624, 2.458589, 2.657499, 
    2.85921, 3.047474, 3.224186, 3.4006, 3.527291, 3.576884, 3.600577, 
    3.624069, 3.646563, 3.666358, 3.685452, 3.705945, 3.724039, 3.733833, 
    3.731377, 3.712769, 3.68041, 3.640801, 3.592792, 3.531581, 3.46242, 
    3.402263, 3.35541, 3.311208, 3.277856, 2.441521, 1.616745, 1.615449, 
    1.620783, 2.463281, 3.309646, 3.327949, 3.345151, 3.360304, 3.376155, 
    3.393406, 3.407957, 3.415558, 3.420359, 3.422512, 3.422764, 2.557687, 
    1.713214, 0.3416406, 1.186263, 0, 0, 0, 0, 0, 0, 0, 0, 0.1991397, 
    0.6553242, 0.7615988, 0.766251, 0.7859969, 0.8214853, 0.868019, 
    0.9274462, 0.9934205, 1.072695, 1.170664, 1.274187, 1.369064, 1.460795, 
    1.557981, 1.648116, 1.714766, 1.786674, 1.794452, 1.003105, 1.716034, 
    2.51491, 2.77329, 3.01922,
  3.273475, 3.379181, 3.565044, 3.718355, 3.813262, 3.841316, 3.838971, 
    3.835926, 3.833529, 3.831133, 3.829487, 3.827738, 3.826789, 3.826191, 
    3.825941, 3.820538, 3.774535, 3.662724, 3.519962, 3.354802, 3.199742, 
    3.034182, 2.823899, 2.61106, 2.432126, 2.327402, 2.303135, 2.30422, 
    2.326307, 2.345948, 2.385441, 2.458611, 2.537576, 2.629487, 2.742848, 
    2.899904, 3.083857, 3.267808, 3.471107, 3.667153, 3.822599, 3.945511, 
    4.039378, 4.082698, 4.062668, 4.012539, 3.956962, 3.901085, 3.857006, 
    3.834274, 3.827387, 3.832588, 3.875035, 3.963316, 4.081789, 4.206559, 
    4.324182, 4.443904, 4.574827, 4.707575, 4.795624, 4.791975, 4.698094, 
    4.580867, 4.467941, 4.352915, 4.22554, 4.096459, 3.978004, 3.890001, 
    3.8558, 3.854, 3.854, 3.8547, 3.8571, 3.861349, 3.867999, 3.876748, 
    3.888997, 3.902746, 3.917996, 3.933244, 3.948195, 3.959394, 3.968743, 
    3.977393, 3.587143, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.68582, 
    1.73859, 1.559187, 1.437527, 1.389074, 1.355206, 1.316599, 1.270945, 
    1.195289, 1.140693, 1.134549, 1.165153, 1.213597, 1.312041, 1.400893, 
    1.502397, 1.648886, 1.802027, 1.97582, 2.220345, 2.510296, 2.7947, 
    3.035001, 3.277054, 3.512312, 3.711721, 3.879475, 3.988778, 4.006495, 
    4.003099, 4.00155, 4.00105, 4.0021, 4.004447, 4.008044, 4.01199, 
    4.017035, 4.022232, 4.027028, 4.031476, 4.035121, 4.02399, 3.983167, 
    3.95844, 3.944357, 3.93813, 3.953861, 3.998643, 4.081622, 4.224557, 
    4.44413, 4.721856, 5.012846, 5.266675, 5.470516, 5.618751, 5.343512, 
    1.962258, 0, 0, 1.949894, 1.895405, 1.693501, 1.544292, 2.799131, 
    2.936627, 2.963522, 3.005817, 3.058412, 3.116757, 3.174254, 3.240495, 
    3.327538, 3.41544, 3.484746, 3.542153, 3.587259, 3.618267, 3.637274, 
    3.65068, 3.661581, 3.67258, 3.681782, 3.689585, 3.694546, 3.697707, 
    3.698066, 3.697375, 3.694384, 3.688143, 3.679348, 3.667404, 3.653109, 
    3.638813, 3.624867, 3.585723, 3.477903, 3.331542, 3.184228, 3.025014, 
    2.854303, 2.684041, 2.536877, 2.40791, 2.340036, 2.40791, 2.536877, 
    2.68509, 2.858002, 3.033563, 3.196975, 3.348486, 3.499446, 3.612566, 
    3.657108, 3.676451, 3.695545, 3.713639, 3.729833, 3.745328, 3.761021, 
    3.775115, 3.781059, 3.774403, 3.751197, 3.713539, 3.668532, 3.615125, 
    3.547166, 3.47251, 3.409509, 3.360505, 3.314703, 3.280051, 1.6325, 0, 0, 
    0, 0.8263109, 1.657507, 1.667029, 2.188106, 3.394799, 3.411501, 3.428951, 
    3.443951, 3.452302, 3.458204, 3.461956, 2.93942, 0.8582167, 1.198014, 
    0.3395976, 1.179169, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5277855, 0.7588933, 
    0.7661487, 0.7822419, 0.810231, 0.8457143, 0.8900417, 0.9401698, 
    1.002896, 1.081769, 1.167443, 1.248574, 1.330413, 1.421058, 1.508063, 
    1.583338, 1.668419, 1.788836, 1.966501, 2.188919, 2.447386, 2.7203, 
    2.979761,
  3.259986, 3.368839, 3.561044, 3.720551, 3.819506, 3.850209, 3.850012, 
    3.849363, 3.848765, 3.848166, 3.847967, 3.847369, 3.84702, 3.84702, 
    3.84687, 3.840871, 3.79352, 3.679324, 3.53448, 3.367534, 3.211541, 
    3.044697, 2.817531, 2.583859, 2.385989, 2.264765, 2.224736, 2.210207, 
    2.21863, 2.226005, 2.255634, 2.337539, 2.424096, 2.523256, 2.642813, 
    2.803868, 2.988868, 3.172115, 3.373461, 3.565604, 3.71835, 3.847305, 
    3.951217, 4.007987, 4.001656, 3.966278, 3.926952, 3.887326, 3.857997, 
    3.847214, 3.846067, 3.852068, 3.889006, 3.961279, 4.059146, 4.162064, 
    4.259633, 4.359303, 4.46957, 4.592845, 4.680044, 4.681507, 4.604035, 
    4.505316, 4.410394, 4.313372, 4.205503, 4.093533, 3.9795, 3.8903, 3.8558, 
    3.854, 3.854, 3.8547, 3.856649, 3.860698, 3.866748, 3.874897, 3.886546, 
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    3.582644, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9307454, 
    1.830825, 1.717268, 1.643216, 1.61929, 1.605566, 1.572388, 1.516812, 
    1.417098, 1.297958, 1.227717, 1.193174, 1.169722, 1.195418, 1.217323, 
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    4.030731, 4.029782, 4.029533, 4.030081, 4.031481, 4.033279, 4.035078, 
    4.037574, 4.040622, 4.043269, 4.046268, 4.047264, 4.019046, 3.938704, 
    3.862883, 3.793556, 3.73403, 3.70166, 3.700094, 3.734224, 3.831708, 
    4.028921, 4.317175, 4.629798, 4.899515, 5.126492, 5.324801, 4.86494, 0, 
    0, 0, 0, 0, 0, 0, 1.473104, 2.953472, 2.978521, 3.017567, 3.06596, 
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    3.704057, 3.71697, 3.727831, 3.73479, 3.74035, 3.743809, 3.743317, 
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    2.63281, 2.6885, 2.795119, 2.918885, 3.065397, 3.213608, 3.351472, 
    3.477436, 3.600596, 3.689808, 3.723585, 3.738478, 3.753021, 3.766715, 
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    3.314196, 3.277592, 1.630745, 0, 0, 0, 0, 0, 0, 0.5091532, 1.700917, 
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    0.7820071, 0.8016439, 0.8245745, 0.853653, 0.8879291, 0.9344563, 
    0.9957824, 1.06481, 1.134596, 1.209637, 1.297936, 1.389745, 1.481116, 
    1.589301, 1.72874, 1.916754, 2.149717, 2.417678, 2.698637, 2.96289,
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    3.695772, 3.560944, 3.403465, 3.257085, 3.09424, 2.859584, 2.616329, 
    2.407068, 2.268494, 2.203403, 2.163562, 2.149176, 2.136195, 2.155687, 
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    3.294919, 3.479204, 3.624137, 3.750525, 3.861583, 3.930999, 3.937666, 
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    4.154857, 4.067997, 3.973484, 3.89015, 3.8558, 3.854, 3.854, 3.854349, 
    3.8561, 3.859699, 3.865248, 3.872546, 3.883145, 3.896144, 3.909493, 
    3.923893, 3.939193, 3.950593, 3.959243, 3.967543, 3.777235, 1.396447, 0, 
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    1.882197, 1.871159, 1.872224, 1.852139, 1.810354, 1.71167, 1.546231, 
    1.420066, 1.319425, 1.223224, 1.175073, 1.12918, 1.114788, 1.15279, 
    1.238352, 1.386602, 1.658108, 2.018057, 2.375957, 2.686004, 2.998502, 
    3.311704, 3.589007, 3.829206, 4.010253, 4.047615, 4.047215, 4.046515, 
    4.046515, 4.046615, 4.047665, 4.048514, 4.049714, 4.051064, 4.052963, 
    4.054763, 4.056912, 4.053153, 4.011935, 3.9042, 3.780688, 3.657516, 
    3.543591, 3.461923, 3.412456, 3.395484, 3.44612, 3.611921, 3.896055, 
    4.217758, 4.492405, 4.732666, 4.967357, 4.604288, 0, 0, 0, 0, 0, 0, 0, 
    0.147397, 1.476513, 2.240724, 3.021745, 3.064487, 3.113778, 3.16297, 
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    3.38303, 3.264766, 3.146652, 3.047335, 2.964117, 2.915476, 2.964267, 
    3.047834, 3.147501, 3.267264, 3.387777, 3.500443, 3.600857, 3.69607, 
    3.757932, 3.776061, 3.786155, 3.7965, 3.806145, 3.814289, 3.821733, 
    3.829027, 3.835422, 3.834768, 3.821865, 3.791613, 3.746059, 3.693507, 
    3.632903, 3.557801, 3.478703, 3.413752, 3.36175, 3.311697, 3.272494, 
    1.627496, 0, 0, 0, 0, 0, 0, 0, 0, 1.208047, 1.732663, 1.739943, 1.744231, 
    1.747473, 1.750564, 1.226198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3825227, 0.7867336, 0.7917697, 0.8006532, 0.8095836, 0.8234629, 
    0.8406893, 0.8708667, 0.9158953, 0.9706277, 1.030865, 1.10091, 1.190314, 
    1.289325, 1.396899, 1.52898, 1.693011, 1.892177, 2.134741, 2.411605, 
    2.699414, 2.96657,
  3.283546, 3.39309, 3.576377, 3.72401, 3.821751, 3.8537, 3.854, 3.854, 
    3.854, 3.854, 3.854, 3.854, 3.854, 3.854, 3.854, 3.849801, 3.809261, 
    3.717285, 3.601515, 3.463344, 3.334371, 3.178434, 2.943138, 2.699241, 
    2.485891, 2.331673, 2.237637, 2.168549, 2.127514, 2.090331, 2.101265, 
    2.197129, 2.304743, 2.41971, 2.55022, 2.714817, 2.895007, 3.072045, 
    3.258933, 3.432118, 3.564201, 3.679484, 3.786767, 3.862417, 3.880431, 
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    3.877724, 3.917077, 3.961329, 4.004285, 4.049341, 4.100944, 4.167947, 
    4.238126, 4.273352, 4.249996, 4.209045, 4.167789, 4.124433, 4.07488, 
    4.020978, 3.956722, 3.888947, 3.8558, 3.854, 3.854, 3.854, 3.855549, 
    3.858548, 3.863497, 3.870197, 3.879646, 3.891494, 3.904243, 3.918392, 
    3.933692, 3.944942, 3.952991, 3.961391, 3.77037, 1.388999, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3101348, 1.590085, 2.157237, 2.148632, 
    2.156034, 2.143139, 2.109245, 2.020355, 1.835843, 1.669099, 1.517052, 
    1.362044, 1.240449, 1.125808, 1.043719, 1.009424, 1.026429, 1.129709, 
    1.39614, 1.775645, 2.158161, 2.503258, 2.851505, 3.203256, 3.519507, 
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    4.052897, 3.999783, 3.872966, 3.711476, 3.536861, 3.36854, 3.236473, 
    3.136254, 3.065382, 3.066414, 3.191705, 3.451055, 3.762727, 4.02635, 
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    3.00471, 3.040952, 3.083893, 3.127185, 3.174326, 3.230867, 3.294003, 
    3.35465, 3.4104, 3.462503, 3.50691, 3.540417, 3.569027, 3.595837, 
    3.621698, 3.649958, 3.678915, 3.710225, 3.738336, 3.760496, 3.779505, 
    3.796715, 3.808973, 3.81503, 3.815836, 3.811491, 3.805995, 3.801549, 
    3.796055, 3.760633, 3.695218, 3.6224, 3.536982, 3.445168, 3.353252, 
    3.278283, 3.218364, 3.182238, 3.218364, 3.278283, 3.353952, 3.446767, 
    3.540282, 3.627398, 3.701914, 3.769076, 3.806298, 3.814041, 3.820036, 
    3.82648, 3.832225, 3.837022, 3.841119, 3.844565, 3.847811, 3.845009, 
    3.830307, 3.798105, 3.750904, 3.697003, 3.634701, 3.558, 3.479349, 
    3.414751, 3.36205, 3.309647, 3.267092, 1.623744, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.08180498, 0.8166963, 0.8110315, 0.8078157, 0.8029984, 0.8012775, 
    0.8019567, 0.816287, 0.8456665, 0.8882515, 0.9408938, 1.008242, 1.101598, 
    1.211215, 1.338193, 1.491068, 1.677547, 1.892773, 2.145035, 2.429843, 
    2.722747, 2.991146,
  3.326564, 3.430506, 3.602741, 3.737374, 3.824757, 3.8537, 3.854, 3.854, 
    3.854, 3.854, 3.854, 3.854, 3.854, 3.854, 3.854, 3.852055, 3.824277, 
    3.752404, 3.660086, 3.545767, 3.434636, 3.286042, 3.054198, 2.814154, 
    2.599651, 2.429578, 2.307142, 2.208153, 2.139767, 2.080845, 2.08815, 
    2.194063, 2.311273, 2.437586, 2.579053, 2.745711, 2.924819, 3.100075, 
    3.28428, 3.445915, 3.564799, 3.666882, 3.760414, 3.8309, 3.854, 3.854, 
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    3.815061, 3.820961, 3.828514, 3.838518, 3.851516, 3.880716, 3.934595, 
    3.989219, 4.001566, 3.999367, 3.993263, 3.985059, 3.973861, 3.958161, 
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    3.861748, 3.867846, 3.876546, 3.886845, 3.898743, 3.912041, 3.927191, 
    3.938291, 3.945991, 3.95404, 3.76389, 1.390895, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.5720552, 2.072166, 2.447435, 2.451726, 2.43812, 
    2.406319, 2.322472, 2.138986, 1.947115, 1.757666, 1.559362, 1.381011, 
    1.213164, 1.069445, 0.9620514, 0.9064096, 0.9495755, 1.195793, 1.579248, 
    1.970354, 2.335811, 2.704417, 3.091306, 3.447007, 3.758952, 4.009997, 
    4.065508, 4.065208, 4.064508, 4.064508, 4.064609, 4.065508, 4.065758, 
    4.066359, 4.067459, 4.068307, 4.069255, 4.067051, 4.049594, 3.986082, 
    3.847719, 3.664553, 3.445604, 3.224989, 3.042026, 2.889861, 2.763491, 
    2.71017, 2.788507, 3.003695, 3.275522, 3.506365, 3.726524, 3.987312, 
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    3.036886, 3.07443, 3.115122, 3.164162, 3.218654, 3.275146, 3.330946, 
    3.386602, 3.436409, 3.476168, 3.511726, 3.546436, 3.581148, 3.615955, 
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    3.753402, 3.699253, 3.636353, 3.559554, 3.481657, 3.418007, 3.365208, 
    3.310505, 3.263248, 1.620247, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.08575516, 0.8534983, 
    0.8370353, 0.8223214, 0.8043548, 0.7873867, 0.7729685, 0.773603, 
    0.7899899, 0.8236318, 0.871427, 0.9384783, 1.038339, 1.165466, 1.312991, 
    1.483261, 1.690485, 1.924608, 2.18632, 2.47427, 2.767017, 3.03236,
  3.380569, 3.47751, 3.636192, 3.756574, 3.830507, 3.8537, 3.854, 3.854, 
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    3.79054, 3.723572, 3.634603, 3.539122, 3.395679, 3.169186, 2.934493, 
    2.721399, 2.536636, 2.384599, 2.25396, 2.157025, 2.085316, 2.098776, 
    2.213886, 2.338794, 2.474204, 2.629421, 2.807741, 2.992598, 3.173255, 
    3.354593, 3.502975, 3.608559, 3.697694, 3.776927, 3.834759, 3.854, 3.854, 
    3.854, 3.854, 3.854, 3.854, 3.854, 3.841996, 3.792968, 3.747073, 
    3.708074, 3.673676, 3.644281, 3.617336, 3.590038, 3.581345, 3.62063, 
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    3.895208, 3.87003, 3.854599, 3.854, 3.854, 3.854, 3.855, 3.85675, 
    3.860248, 3.865498, 3.873146, 3.883046, 3.893745, 3.905843, 3.920242, 
    3.931292, 3.938741, 3.94619, 3.95399, 2.771993, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.342155, 1.15251, 0.9755813, 0.8464919, 0.8223597, 1.042929, 1.430835, 
    1.827091, 2.197346, 2.571103, 2.977663, 3.371657, 3.719952, 4.001732, 
    4.05657, 4.048, 4.040935, 4.035973, 4.031913, 4.028001, 4.024392, 
    4.020782, 4.024989, 4.032707, 4.038169, 4.038029, 4.020786, 3.95399, 
    3.81069, 3.620138, 3.378781, 3.123659, 2.894107, 2.6929, 2.510934, 
    2.401416, 2.430607, 2.592438, 2.799953, 2.968256, 3.156067, 2.288056, 
    0.1878446, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.032796, 2.806084, 2.981728, 
    3.01317, 3.048113, 3.089705, 3.137145, 3.187889, 3.243539, 3.304145, 
    3.360052, 3.406661, 3.449771, 3.493534, 3.538397, 3.579455, 3.615609, 
    3.654763, 3.696767, 3.732725, 3.765183, 3.79569, 3.820647, 3.837253, 
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    3.810328, 3.773757, 3.734639, 3.695521, 3.66845, 3.656078, 3.652836, 
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    3.847117, 3.849162, 3.85001, 3.850858, 3.851506, 3.852154, 3.852753, 
    3.853003, 3.853501, 3.854, 3.85, 3.834802, 3.803103, 3.756405, 3.703006, 
    3.640858, 3.565561, 3.489914, 3.428267, 3.376069, 3.320019, 2.781239, 
    0.8075421, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.8016888, 0.7739804, 0.7492228, 0.7395126, 0.7486076, 0.7775541, 
    0.8244565, 0.8958657, 1.006632, 1.153954, 1.320527, 1.50845, 1.735024, 
    1.988048, 2.25961, 2.54761, 2.836204, 3.093691,
  3.441575, 3.530115, 3.672694, 3.776974, 3.836757, 3.85385, 3.854, 3.854, 
    3.854, 3.854, 3.854, 3.854, 3.854, 3.854, 3.854, 3.854, 3.849261, 
    3.823539, 3.782568, 3.719599, 3.640368, 3.502324, 3.282131, 3.053489, 
    2.845394, 2.649181, 2.467096, 2.30461, 2.178275, 2.098866, 2.120726, 
    2.243685, 2.376044, 2.519603, 2.688369, 2.883087, 3.073343, 3.2594, 
    3.431088, 3.565172, 3.657557, 3.733842, 3.798925, 3.842459, 3.854, 3.854, 
    3.854, 3.854, 3.854, 3.854, 3.854, 3.8402, 3.772233, 3.68954, 3.610143, 
    3.535898, 3.469554, 3.405662, 3.338516, 3.294074, 3.318153, 3.400719, 
    3.488015, 3.565511, 3.633804, 3.699647, 3.768843, 3.83329, 3.866724, 
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    3.863297, 3.870147, 3.879395, 3.889245, 3.900143, 3.913342, 3.924292, 
    3.931492, 3.938692, 3.946442, 2.766393, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 2.776107, 3.048694, 3.009318, 2.9619, 2.869136, 
    2.696582, 2.486515, 2.229878, 1.955448, 1.704875, 1.469898, 1.244007, 
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    2.47597, 2.888976, 3.300273, 3.663666, 3.965483, 4.009119, 3.982346, 
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    3.54004, 3.410558, 3.290824, 3.17144, 3.057158, 2.959321, 2.950122, 
    3.031912, 3.143094, 3.270777, 3.38956, 3.507293, 3.631872, 3.737702, 
    3.81324, 3.828586, 3.818381, 3.806327, 3.794221, 3.782817, 3.772664, 
    3.765911, 3.76321, 3.76401, 3.769761, 3.780763, 3.795217, 3.812471, 
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    3.768824, 3.291397, 2.846036, 2.467938, 2.150048, 1.813264, 1.394367, 
    0.9844896, 0.6495124, 0.7373524, 1.151004, 1.573154, 1.964504, 2.307553, 
    2.605282, 2.863054, 3.08293, 3.295455, 3.20888, 3.043458, 2.908339, 
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    3.366895, 3.468959, 3.552074, 3.597797, 3.612721, 3.606298, 3.582181, 
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    2.449851, 2.72339, 2.956778, 3.164613, 3.347849, 3.485283,
  3.53295, 3.52629, 3.501173, 3.462408, 3.417894, 3.363581, 3.318267, 
    3.304802, 3.321599, 3.36291, 3.439527, 3.524396, 3.602914, 3.682132, 
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    3.658874, 3.741805, 3.799236, 3.806627, 3.790922, 3.773317, 3.755462, 
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    3.168344, 3.335881, 3.457419,
  3.469447, 3.453341, 3.41123, 3.356319, 3.297409, 3.228698, 3.166736, 
    3.136072, 3.147617, 3.200475, 3.295137, 3.400502, 3.499668, 3.600235, 
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    1.908068, 1.501074, 1.072877, 0.6942735, 0.7622677, 1.175867, 1.595415, 
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    3.776757, 3.74386, 3.709162, 3.678011, 3.64196, 3.597909, 3.551106, 
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    2.767499, 2.970987, 3.149626, 3.303917, 3.412909,
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    3.635444, 3.609091, 3.587439, 3.574137, 3.569687, 3.573289, 3.586992, 
    3.610796, 3.641951, 3.676956, 3.716862, 3.755668, 3.785974, 3.811028, 
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    0.7479832, 0.7142347, 0.6773355, 0.6360874, 0.6063915, 0.6092466, 
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    1.995759, 2.260352, 2.521742, 2.75353, 2.94297, 3.108961, 3.253004, 
    3.35375,
  3.333957, 3.310158, 3.252657, 3.180504, 3.102199, 3.010242, 2.913828, 
    2.848064, 2.84516, 2.908061, 3.024064, 3.158321, 3.290431, 3.428843, 
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    3.626263, 1.930409, 0.9706219, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.150705, 2.750194, 2.42401, 2.176977, 
    1.923994, 1.544313, 1.129771, 0.7687843, 0.831983, 1.232975, 1.644771, 
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    2.683957, 2.486008, 2.304156, 2.21095, 2.237543, 2.341989, 2.476535, 
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    3.831433, 3.832484, 3.831436, 3.824187, 3.811388, 3.795239, 3.774541, 
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    3.411877, 3.329918, 3.231759, 3.132194, 3.024574, 0.2995919, 0, 0, 0, 0, 
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    0.7974756, 0.7849773, 0.771079, 0.7501796, 0.7234311, 0.6914823, 
    0.6560335, 0.6187874, 0.5960433, 0.6057482, 0.6490532, 0.7363583, 
    0.8645115, 1.021264, 1.213363, 1.45886, 1.734454, 1.998996, 2.252337, 
    2.499176, 2.715715, 2.891956, 3.049302, 3.189653, 3.288955,
  3.278466, 3.256418, 3.201473, 3.128775, 3.045973, 2.942514, 2.824399, 
    2.739436, 2.731182, 2.793281, 2.912431, 3.054886, 3.198192, 3.351651, 
    3.524463, 3.675976, 3.778483, 3.818687, 3.828789, 3.835493, 3.836999, 
    3.821714, 3.778929, 3.713443, 3.650556, 3.582413, 3.497766, 3.43067, 
    3.401078, 3.404023, 3.446259, 3.518897, 3.602286, 3.685327, 3.782073, 
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    3.891454, 3.871102, 3.856999, 3.851647, 3.850545, 3.849845, 3.848993, 
    3.848142, 3.847492, 3.846991, 3.842495, 3.831357, 3.802319, 3.765981, 
    3.730792, 3.693152, 3.665362, 3.641519, 3.624565, 3.611453, 3.603185, 
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    3.70547, 3.748028, 1.897066, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.097171, 2.680059, 2.366461, 2.13772, 
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    3.86122, 3.952837, 0.3976991, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.102977, 1.585302, 2.426736, 2.414434, 2.401632, 
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    3.695203, 3.707705, 3.715306, 3.720407, 3.723757, 3.724707, 3.724957, 
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    3.800725, 3.803226, 3.803977, 3.798679, 3.78783, 3.773481, 3.755283, 
    3.730035, 3.697735, 3.662484, 3.621632, 3.56963, 3.510176, 3.445472, 
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    1.984735, 2.223574, 2.453662, 2.6539, 2.820195, 2.976698, 3.120802, 
    3.225808,
  3.232975, 3.21653, 3.170737, 3.102942, 3.017489, 2.89948, 2.760318, 
    2.660511, 2.645957, 2.704904, 2.824204, 2.970905, 3.121708, 3.286865, 
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    3.90726, 3.963506, 3.982655, 3.981507, 3.964858, 3.945257, 3.922856, 
    3.897403, 3.871899, 3.852996, 3.844244, 3.840942, 3.83724, 3.833987, 
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    3.611831, 3.604221, 3.592059, 3.572495, 3.54114, 3.509188, 3.475135, 
    3.435083, 3.390431, 3.349179, 3.313178, 3.286228, 3.273329, 3.274681, 
    3.287234, 3.317837, 3.363591, 3.413945, 3.470249, 3.534353, 3.598109, 
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    1.702265, 2.07076, 2.387104, 2.635798, 2.822057, 2.969765, 3.113971, 
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    2.932133, 2.975526, 3.045371, 3.15922, 3.314373, 3.487029, 3.597783, 
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    3.120536, 3.19319, 3.272141, 3.35899, 3.437891, 3.501192, 3.552243, 
    3.592045, 3.617296, 3.631948, 3.640648, 3.647249, 3.650899, 3.6522, 
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    3.670252, 3.678204, 3.687905, 3.700507, 3.714409, 3.727211, 3.738263, 
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    3.71862, 3.69452, 3.66292, 3.62622, 3.582518, 3.526916, 3.461812, 
    3.391709, 3.311806, 3.210702, 3.089697, 2.962942, 2.817285, 2.506884, 
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    0.7111802, 0.6928312, 0.6696817, 0.642234, 0.6133882, 0.5908438, 
    0.5855999, 0.6107547, 0.6667086, 0.7646607, 0.8997623, 1.056761, 
    1.241407, 1.469949, 1.720739, 1.955477, 2.176565, 2.387853, 2.573145, 
    2.735695, 2.897549, 3.050006, 3.165864,
  3.194479, 3.186784, 3.154994, 3.096801, 3.010001, 2.878044, 2.723187, 
    2.61243, 2.590475, 2.644822, 2.762321, 2.90937, 3.063721, 3.236974, 
    3.436029, 3.612683, 3.729486, 3.778738, 3.79629, 3.809992, 3.821744, 
    3.832796, 3.833307, 3.81167, 3.787281, 3.74469, 3.675896, 3.624801, 
    3.602298, 3.595896, 3.607743, 3.641181, 3.691021, 3.742962, 3.823754, 
    3.914299, 3.964746, 3.985449, 3.987951, 3.973353, 3.953253, 3.928602, 
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    3.80263, 3.793324, 3.780116, 3.762709, 3.744252, 3.722296, 3.698239, 
    3.676683, 3.655827, 3.631473, 3.607522, 3.588174, 3.570576, 3.551678, 
    3.53628, 3.522432, 3.501583, 3.470182, 3.434081, 3.397928, 3.359676, 
    3.315673, 3.268322, 3.224921, 3.187821, 3.161972, 3.153376, 3.15968, 
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    3.563893, 3.565944, 3.570094, 3.577045, 3.585846, 3.595948, 3.608149, 
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    3.56796, 3.521759, 3.461906, 3.392104, 3.317702, 3.233149, 3.126096, 
    3.000145, 2.871948, 2.719596, 2.525093, 1.956627, 0.5258641, 0, 
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    0.6907339, 0.6818842, 0.6647347, 0.6422852, 0.6187374, 0.5972922, 
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    1.074511, 1.251306, 1.466597, 1.698935, 1.913972, 2.11501, 2.306198, 
    2.478841, 2.643443, 2.812948, 2.977106, 3.106965,
  3.163486, 3.166293, 3.151402, 3.106159, 3.019009, 2.876905, 2.709298, 
    2.587191, 2.556736, 2.604682, 2.717929, 2.862727, 3.017727, 3.194778, 
    3.39998, 3.582533, 3.704486, 3.758189, 3.779241, 3.795742, 3.810744, 
    3.825046, 3.837498, 3.83776, 3.833021, 3.80693, 3.750688, 3.701436, 
    3.674534, 3.664782, 3.672581, 3.692877, 3.723766, 3.758156, 3.823546, 
    3.90454, 3.955493, 3.980546, 3.985947, 3.973498, 3.953248, 3.927047, 
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    3.760423, 3.739716, 3.712808, 3.682701, 3.652595, 3.618838, 3.583682, 
    3.552177, 3.522072, 3.489968, 3.465118, 3.447918, 3.433169, 3.418122, 
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    3.178873, 3.130673, 3.087424, 3.052576, 3.031681, 3.030685, 3.04444, 
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    1.272413, 1.018033, 1.078636, 1.399222, 1.753209, 2.09525, 2.396001, 
    2.657259, 2.872516, 3.043522, 3.188971, 3.083528, 2.898335, 2.722788, 
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    3.446006, 3.381503, 3.307401, 3.227947, 3.137994, 3.023589, 2.891783, 
    2.760177, 2.601622, 2.40217, 2.165423, 1.465701, 0.8299519, 0.7529798, 
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    0.6634853, 0.6560866, 0.6397871, 0.6193389, 0.6014929, 0.5885478, 
    0.5855538, 0.6013095, 0.6420136, 0.7093162, 0.8132668, 0.9471157, 
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    2.381499, 2.5492, 2.727755, 2.905263, 3.051322,
  3.149999, 3.170311, 3.182329, 3.158994, 3.082306, 2.944013, 2.76641, 
    2.631703, 2.591298, 2.630342, 2.72808, 2.856815, 2.999003, 3.165691, 
    3.363031, 3.549882, 3.676985, 3.735487, 3.759689, 3.77849, 3.796992, 
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    3.887291, 3.940992, 3.968091, 3.974942, 3.963642, 3.943493, 3.915992, 
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    3.255019, 3.24392, 3.22407, 3.193171, 3.157573, 3.120674, 3.080975, 
    3.035377, 2.988779, 2.948931, 2.920285, 2.90869, 2.917596, 2.940201, 
    2.975054, 3.026657, 3.088659, 3.149209, 3.216759, 3.127641, 1.186004, 0, 
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    1.29346, 1.075528, 1.14108, 1.435766, 1.765454, 2.087743, 2.387991, 
    2.662247, 2.890053, 3.070757, 3.214707, 3.122914, 2.95092, 2.782525, 
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    3.463974, 3.42597, 3.371516, 3.300712, 3.217005, 3.127448, 3.02704, 
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    1.596338, 1.332255, 1.094214, 0.4902341, 0, 0, 0, 0, 0.163635, 0.4442264, 
    0.4754995, 0.4907492, 0.3332844, 0.0551555, 0.3861011, 0.6237402, 
    0.6473887, 0.651338, 0.6439391, 0.6394894, 0.6336398, 0.6199921, 
    0.6049958, 0.5947497, 0.5908043, 0.5981091, 0.6244145, 0.6725181, 
    0.7444203, 0.849521, 0.9802688, 1.121265, 1.27766, 1.461351, 1.65114, 
    1.822729, 1.984171, 2.140815, 2.297012, 2.467213, 2.654567, 2.846475, 
    3.010484,
  3.162012, 3.203321, 3.250036, 3.256299, 3.20231, 3.080068, 2.904823, 
    2.756917, 2.70306, 2.725149, 2.794534, 2.892419, 3.008006, 3.150894, 
    3.326534, 3.506576, 3.638729, 3.702631, 3.731534, 3.753086, 3.773736, 
    3.792285, 3.807884, 3.820583, 3.826983, 3.809933, 3.758883, 3.706133, 
    3.676233, 3.664184, 3.672987, 3.69209, 3.713242, 3.737542, 3.79269, 
    3.86764, 3.920989, 3.948089, 3.954939, 3.943489, 3.922487, 3.893437, 
    3.853635, 3.809084, 3.770981, 3.741977, 3.714874, 3.68652, 3.659716, 
    3.625561, 3.575654, 3.518697, 3.46319, 3.409785, 3.35243, 3.295225, 
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    2.890064, 2.946165, 3.011166, 3.071215, 3.137214, 1.61504, 0, 0, 0, 0, 0, 
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    1.129024, 1.197825, 1.465363, 1.769601, 2.068989, 2.364887, 2.64889, 
    2.887795, 3.076749, 3.218447, 3.139903, 2.98211, 2.823015, 2.654118, 
    2.488659, 2.377745, 2.321981, 2.286517, 2.249254, 2.204741, 2.16518, 
    2.134019, 2.106208, 2.074998, 2.04314, 2.023883, 2.032974, 2.087913, 
    2.1866, 2.307687, 2.388241, 2.463841, 2.549588, 2.653885, 2.773581, 
    2.004681, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.142243, 2.275736, 2.260986, 2.248486, 2.252732, 2.272027, 2.299771, 
    2.341264, 2.395457, 2.46365, 2.550794, 2.642689, 2.722188, 2.798536, 
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    3.181282, 3.191732, 3.198333, 3.200433, 3.200433, 3.200433, 3.200433, 
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    3.201033, 3.204683, 3.211133, 3.222084, 3.236185, 3.252435, 3.272187, 
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    3.35296, 3.289255, 3.206448, 3.10754, 3.006686, 2.895333, 2.757628, 
    2.603074, 2.454672, 2.290524, 2.093227, 1.873633, 1.67594, 1.478948, 
    1.248013, 1.028372, 0.4627391, 0, 0, 0, 0.1183597, 0.2346174, 0.4437713, 
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    0.7921756, 0.8977755, 1.024774, 1.15802, 1.302464, 1.468406, 1.639499, 
    1.793242, 1.940687, 2.086582, 2.236879, 2.408729, 2.603332, 2.809289, 
    2.991847,
  3.191014, 3.249821, 3.328784, 3.363646, 3.331054, 3.224961, 3.062067, 
    2.908717, 2.836058, 2.831646, 2.86693, 2.929614, 3.015501, 3.13289, 
    3.28473, 3.446921, 3.577468, 3.64712, 3.681322, 3.705223, 3.726223, 
    3.743022, 3.755971, 3.767271, 3.77347, 3.75692, 3.706821, 3.655223, 
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    3.813129, 3.766028, 3.722977, 3.687624, 3.653372, 3.617719, 3.583216, 
    3.537161, 3.472205, 3.401049, 3.333194, 3.26849, 3.199985, 3.132481, 
    3.072927, 3.018274, 2.974522, 2.948272, 2.933172, 2.922972, 2.916573, 
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    2.866136, 3.058486, 3.194833, 3.129488, 2.987095, 2.8385, 2.676953, 
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    1.549914, 1.698501, 1.830539, 1.958377, 2.087317, 2.224358, 2.387751, 
    2.580197, 2.792747, 2.989551,
  3.22001, 3.294215, 3.401225, 3.461033, 3.443037, 3.349791, 3.199195, 
    3.050398, 2.962795, 2.929784, 2.92887, 2.954206, 3.009745, 3.103436, 
    3.232828, 3.37442, 3.492213, 3.563112, 3.601664, 3.627064, 3.647464, 
    3.662614, 3.673913, 3.683312, 3.688212, 3.671411, 3.623862, 3.576564, 
    3.556967, 3.558371, 3.581324, 3.611876, 3.638477, 3.661578, 3.710077, 
    3.777725, 3.827224, 3.850473, 3.855123, 3.844274, 3.823973, 3.795274, 
    3.754073, 3.706074, 3.659723, 3.619321, 3.578869, 3.536566, 3.494963, 
    3.43866, 3.360305, 3.276851, 3.198447, 3.123543, 3.04454, 2.967536, 
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    0.3450119, 0.598951, 0.7095793, 0.7276351, 0.7512922, 0.7882503, 
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    2.400008, 2.579402, 2.78835, 2.992502,
  3.241506, 3.326909, 3.454164, 3.526366, 3.514016, 3.428168, 3.28707, 
    3.145773, 3.050771, 2.991112, 2.9558, 2.946939, 2.978483, 3.053077, 
    3.16187, 3.283564, 3.384708, 3.452257, 3.495008, 3.522209, 3.542209, 
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    2.594658, 2.793053, 2.997652,
  3.252502, 3.343152, 3.47515, 3.545398, 3.532247, 3.449448, 3.31515, 
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    2.231134, 2.290978, 2.368022, 2.478767, 2.624511, 2.807106, 3.004653,
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    3.459162, 3.49696, 3.516209, 3.519559, 3.506859, 3.483209, 3.451159, 
    3.406859, 3.358909, 3.311709, 3.265909, 3.215109, 3.16476, 3.11521, 
    3.05061, 2.96226, 2.866761, 2.773461, 2.682961, 2.588661, 2.497761, 
    2.419961, 2.353012, 2.305913, 2.283314, 2.277715, 2.287168, 2.319122, 
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    2.373389, 2.354438, 2.349737, 2.366737, 2.420488, 2.494039, 2.553489, 
    2.61469, 2.67634, 2.322419, 0.6956271, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.76164, 1.939734, 2.124128, 2.319621, 2.505114, 2.651958, 2.730201, 
    2.68835, 2.583, 2.460701, 2.323002, 2.167354, 2.017306, 1.887209, 
    1.764461, 1.643164, 1.533767, 1.443971, 1.367474, 1.298126, 1.239378, 
    1.190979, 1.14958, 1.11428, 1.093477, 1.093224, 1.10872, 1.151164, 
    1.199657, 1.225703, 1.261198, 0.6951902, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6635996, 2.205498, 2.187098, 2.167097, 
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    2.417965, 2.417965, 2.417965, 2.417965, 2.417965, 2.417965, 2.417965, 
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    2.030762, 2.12756, 2.206157, 2.256651, 2.289144, 2.314538, 2.346582, 
    2.386977, 2.445472, 2.539518, 2.664362, 2.824955, 3.006899,
  3.20999, 3.285937, 3.388132, 3.434828, 3.409226, 3.327626, 3.212429, 
    3.094731, 2.98898, 2.89198, 2.81148, 2.763929, 2.757977, 2.789124, 
    2.846671, 2.915668, 2.978966, 3.038066, 3.083516, 3.111766, 3.129215, 
    3.138265, 3.140664, 3.138413, 3.132712, 3.109513, 3.076016, 3.059019, 
    3.06547, 3.089071, 3.129121, 3.172171, 3.20372, 3.22827, 3.269118, 
    3.310014, 3.337961, 3.35296, 3.35466, 3.34201, 3.31921, 3.28836, 
    3.244861, 3.198011, 3.153462, 3.108913, 3.059614, 3.011214, 2.963965, 
    2.902016, 2.817217, 2.725019, 2.634219, 2.54552, 2.452171, 2.362221, 
    2.286472, 2.221572, 2.177423, 2.158224, 2.157975, 2.177327, 2.22408, 
    2.276883, 2.317236, 2.337989, 2.342941, 2.345392, 2.348493, 2.346693, 
    2.336243, 2.313692, 2.306241, 2.32154, 2.37674, 2.454191, 2.514491, 
    2.576191, 2.639442, 1.880895, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7139935, 1.412939, 1.386092, 1.368945, 1.376999, 1.450499, 1.571845, 
    1.719139, 1.873483, 2.034828, 2.204572, 2.363616, 2.48646, 2.540005, 
    2.494754, 2.392405, 2.273206, 2.139657, 1.991959, 1.851411, 1.730213, 
    1.617766, 1.508819, 1.413873, 1.337977, 1.27468, 1.216883, 1.165885, 
    1.123487, 1.086688, 1.051939, 1.025738, 1.014486, 1.014783, 1.034728, 
    1.057722, 1.068718, 1.086364, 0.1091463, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6622498, 2.200749, 2.181399, 2.159599, 
    2.140249, 2.124498, 2.106649, 2.088099, 2.071998, 2.062246, 2.060194, 
    2.069093, 2.08774, 2.109488, 2.132285, 2.157032, 2.18293, 2.207728, 
    2.230077, 2.250276, 2.266325, 2.276975, 2.285525, 2.291874, 2.295924, 
    2.296974, 2.296974, 2.296974, 2.296974, 2.296974, 2.296974, 2.296974, 
    2.296974, 2.296974, 2.296974, 2.297024, 2.298074, 2.301724, 2.308874, 
    2.319824, 2.335673, 2.353723, 2.375622, 2.404372, 2.439321, 2.478471, 
    2.525671, 2.58042, 2.635071, 2.680468, 2.679662, 2.635956, 2.194586, 
    1.297155, 1.18769, 1.115511, 1.427731, 1.620454, 0.9949061, 0.9448331, 
    1.209077, 1.887701, 1.816249, 1.714599, 1.352507, 1.077547, 1.290358, 
    1.154364, 1.035869, 0.9337239, 0.8354294, 0.7425349, 0.6746399, 
    0.6349947, 0.6058495, 0.5815043, 0.4900466, 0.4390759, 0.5966176, 
    0.2982427, 0, 0, 0, 0, 0, 0, 0.3739714, 0.579222, 1.009125, 1.036526, 
    1.081779, 1.142631, 1.221585, 1.317038, 1.436993, 1.594498, 1.760402, 
    1.904055, 2.033005, 2.155355, 2.264454, 2.353052, 2.419249, 2.448494, 
    2.456289, 2.458534, 2.470579, 2.493926, 2.535572, 2.610767, 2.70906, 
    2.840803, 2.999547,
  3.157989, 3.220286, 3.29793, 3.325026, 3.289474, 3.209825, 3.104076, 
    2.990927, 2.884727, 2.789027, 2.708777, 2.658377, 2.646477, 2.667475, 
    2.712673, 2.770671, 2.829971, 2.888571, 2.933871, 2.960171, 2.97522, 
    2.981869, 2.980769, 2.975368, 2.965467, 2.945068, 2.921019, 2.913321, 
    2.925471, 2.951972, 2.992472, 3.033571, 3.063221, 3.086921, 3.117119, 
    3.144367, 3.162465, 3.172514, 3.171263, 3.157813, 3.136463, 3.107414, 
    3.066765, 3.022565, 2.982716, 2.942167, 2.897168, 2.85392, 2.811971, 
    2.755672, 2.676874, 2.593676, 2.51448, 2.435633, 2.350686, 2.268538, 
    2.19824, 2.136691, 2.095091, 2.079191, 2.080491, 2.103141, 2.157191, 
    2.218992, 2.267742, 2.297244, 2.310345, 2.318946, 2.325997, 2.325347, 
    2.311597, 2.283345, 2.270744, 2.282643, 2.336993, 2.416193, 2.475993, 
    2.536142, 2.601892, 1.856395, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5805716, 
    0.6620026, 1.017621, 1.361339, 1.346842, 1.341244, 1.366497, 1.438997, 
    1.543344, 1.666789, 1.797735, 1.935681, 2.080926, 2.214571, 2.314717, 
    2.345213, 2.296962, 2.200114, 2.086215, 1.959717, 1.821569, 1.691821, 
    1.580974, 1.480976, 1.386879, 1.307932, 1.247485, 1.197887, 1.152689, 
    1.111491, 1.076993, 1.045994, 1.014745, 0.9874451, 0.9677438, 0.9557419, 
    0.957189, 0.9577352, 0.9549828, 0.9546795, 0.09549786, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3307737, 1.647039, 2.1789, 
    2.1566, 2.13675, 2.12125, 2.105051, 2.087951, 2.070001, 2.054, 2.044299, 
    2.044497, 2.053195, 2.064993, 2.077491, 2.089639, 2.103886, 2.120485, 
    2.137784, 2.153833, 2.166883, 2.175732, 2.182832, 2.187932, 2.191432, 
    2.192482, 2.192482, 2.192482, 2.192482, 2.192482, 2.192482, 2.192482, 
    2.192482, 2.192482, 2.192482, 2.192482, 2.193082, 2.196482, 2.202681, 
    2.212731, 2.226881, 2.24323, 2.26273, 2.28883, 2.320879, 2.358979, 
    2.405478, 2.458528, 2.509427, 2.536472, 2.510316, 1.389861, 0.8634703, 0, 
    1.506714, 2.090147, 2.007246, 1.929448, 1.868104, 1.775007, 1.704559, 
    1.672459, 1.59976, 1.500761, 0.9733242, 0.5939842, 1.12112, 0.6316807, 
    0.9092777, 0.8302321, 0.7560868, 0.6860911, 0.6405954, 0.620999, 
    0.6115526, 0.6075063, 0.6179101, 0.4669475, 0.3173788, 0.03218771, 0, 0, 
    0, 0, 0, 0.2953627, 0.962632, 1.11597, 1.120121, 1.154023, 1.208575, 
    1.281627, 1.373829, 1.484782, 1.625837, 1.805291, 1.988994, 2.143546, 
    2.275346, 2.395146, 2.497994, 2.578293, 2.632691, 2.642237, 2.626383, 
    2.607279, 2.601476, 2.609923, 2.63577, 2.687015, 2.754359, 2.854052, 
    2.984096,
  3.091489, 3.137686, 3.187082, 3.189228, 3.141475, 3.063276, 2.961876, 
    2.851176, 2.748977, 2.657628, 2.579729, 2.530079, 2.515479, 2.530278, 
    2.567327, 2.619577, 2.676977, 2.734726, 2.779276, 2.803576, 2.815725, 
    2.819125, 2.814774, 2.805824, 2.791723, 2.772373, 2.754474, 2.752374, 
    2.767725, 2.795675, 2.835875, 2.874974, 2.902474, 2.924724, 2.947023, 
    2.963622, 2.974471, 2.98007, 2.97587, 2.961319, 2.940719, 2.91382, 
    2.87637, 2.836921, 2.802472, 2.767673, 2.729324, 2.694226, 2.659727, 
    2.611928, 2.546281, 2.482435, 2.424489, 2.365142, 2.297445, 2.229047, 
    2.168749, 2.114051, 2.077252, 2.060501, 2.056, 2.073198, 2.126798, 
    2.191048, 2.243749, 2.278249, 2.2977, 2.311001, 2.322251, 2.323001, 
    2.304851, 2.268699, 2.249248, 2.254997, 2.305646, 2.383546, 2.441746, 
    2.498895, 2.564445, 1.830846, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4089247, 
    1.184607, 1.287689, 1.304241, 1.307842, 1.304144, 1.307445, 1.340995, 
    1.408493, 1.497141, 1.601189, 1.711235, 1.827232, 1.948879, 2.058525, 
    2.136972, 2.153121, 2.105771, 2.016723, 1.911724, 1.795876, 1.669128, 
    1.55133, 1.452732, 1.366034, 1.287436, 1.224689, 1.178991, 1.142043, 
    1.107745, 1.077396, 1.051498, 1.026999, 1.0006, 0.9745499, 0.9499996, 
    0.9299986, 0.9190972, 0.9063461, 0.8932449, 0.5808023, 0.04493628, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0955, 2.17875, 
    2.157151, 2.138701, 2.125501, 2.113002, 2.098852, 2.081253, 2.061002, 
    2.044601, 2.0364, 2.035448, 2.037497, 2.038495, 2.038193, 2.040842, 
    2.04899, 2.060989, 2.073339, 2.083288, 2.090238, 2.095788, 2.099938, 
    2.102787, 2.103488, 2.103838, 2.103988, 2.103988, 2.103988, 2.103988, 
    2.103988, 2.103988, 2.103988, 2.103988, 2.103988, 2.104438, 2.107488, 
    2.112988, 2.121737, 2.134287, 2.148487, 2.165486, 2.188836, 2.218736, 
    2.255735, 2.299735, 2.349634, 2.392333, 2.391479, 1.557036, 0.1202633, 0, 
    0, 1.308619, 1.797753, 1.710253, 1.645205, 1.614459, 0.9043191, 
    0.7981064, 0.7817613, 1.189757, 1.296419, 0.8406802, 0.5157388, 
    0.6649348, 0.132633, 0.8031854, 0.7472389, 0.4651217, 0.616986, 
    0.6267495, 0.4654533, 0.536275, 0.6120464, 0.3220517, 0.1646997, 0, 0, 0, 
    0, 0, 0, 0.1919085, 0.9341049, 1.224664, 1.218365, 1.228766, 1.269517, 
    1.333018, 1.41792, 1.526473, 1.657027, 1.82013, 2.020133, 2.220786, 
    2.385037, 2.517787, 2.632536, 2.728035, 2.800034, 2.842281, 2.832479, 
    2.793775, 2.755022, 2.73307, 2.728318, 2.737765, 2.762511, 2.798106, 
    2.864451, 2.960646,
  3.006489, 3.035187, 3.055083, 3.030581, 2.969729, 2.890329, 2.79388, 
    2.689631, 2.594982, 2.509433, 2.436133, 2.389534, 2.375484, 2.387684, 
    2.420433, 2.469333, 2.523733, 2.578482, 2.620882, 2.643832, 2.652981, 
    2.653031, 2.645631, 2.63213, 2.613729, 2.593229, 2.578479, 2.57968, 
    2.595979, 2.62383, 2.662879, 2.700529, 2.726729, 2.748029, 2.767229, 
    2.777429, 2.783729, 2.785828, 2.779428, 2.763527, 2.742728, 2.717378, 
    2.683028, 2.648479, 2.618729, 2.59038, 2.560331, 2.533982, 2.508983, 
    2.472785, 2.428237, 2.392691, 2.362744, 2.329648, 2.284051, 2.231853, 
    2.184004, 2.138255, 2.106456, 2.083805, 2.068503, 2.075252, 2.123901, 
    2.187451, 2.244501, 2.283702, 2.308053, 2.324753, 2.338753, 2.339803, 
    2.316552, 2.270951, 2.24225, 2.238399, 2.281847, 2.355647, 2.409996, 
    2.464346, 2.528046, 1.804947, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4567044, 0.5166681, 
    0.5326218, 0.9642835, 1.181644, 1.222693, 1.246494, 1.259445, 1.264496, 
    1.274146, 1.306496, 1.363695, 1.438543, 1.526492, 1.61849, 1.714337, 
    1.813385, 1.900432, 1.95923, 1.96798, 1.92463, 1.845381, 1.752733, 
    1.649234, 1.536086, 1.431638, 1.346239, 1.272741, 1.209492, 1.162644, 
    1.130245, 1.104497, 1.081248, 1.061799, 1.04475, 1.027701, 1.006902, 
    0.983202, 0.9577521, 0.9337019, 0.9163015, 0.898351, 0.6609507, 
    0.1303202, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.09575, 2.1803, 2.160851, 2.146601, 2.137752, 2.129952, 2.119203, 
    2.102303, 2.079503, 2.058102, 2.041851, 2.03155, 2.023249, 2.012848, 
    2.000746, 1.992745, 1.993495, 2.000544, 2.008893, 2.015843, 2.020993, 
    2.025093, 2.028393, 2.030293, 2.031243, 2.031843, 2.032043, 2.032493, 
    2.032743, 2.032993, 2.032993, 2.032993, 2.032743, 2.032493, 2.032493, 
    2.032643, 2.034743, 2.039642, 2.046742, 2.057342, 2.069492, 2.084092, 
    2.104491, 2.132641, 2.16524, 2.203439, 2.248239, 2.280337, 2.247733, 
    0.6677945, 0, 0, 0, 0.6025622, 0.8828258, 1.374659, 1.038395, 0.7406306, 
    0.0738831, 0, 0, 0.4426487, 1.050917, 0.7202874, 0.2394452, 0.1436671, 
    0.361015, 0.7154409, 0.6814932, 0.4218487, 0.5968058, 0.6274005, 
    0.4827889, 0.5694763, 0.3346393, 0, 0.2203004, 0.1321802, 0, 0, 0.310571, 
    0.6449474, 0.6761045, 0.8797134, 1.323511, 1.319761, 1.320312, 1.336563, 
    1.380763, 1.452264, 1.551866, 1.680968, 1.830019, 2.010221, 2.227473, 
    2.443274, 2.616525, 2.749525, 2.858425, 2.946074, 3.009023, 3.038371, 
    3.009819, 2.949967, 2.893015, 2.855663, 2.838012, 2.829609, 2.827256, 
    2.830153, 2.860448, 2.921044,
  2.881989, 2.894938, 2.891336, 2.849385, 2.780735, 2.701585, 2.613936, 
    2.520087, 2.433238, 2.354788, 2.287589, 2.246089, 2.234989, 2.247339, 
    2.277889, 2.323139, 2.372989, 2.423188, 2.462488, 2.483588, 2.489738, 
    2.487138, 2.477037, 2.459587, 2.437487, 2.415037, 2.400487, 2.402036, 
    2.417486, 2.444136, 2.480436, 2.515586, 2.540986, 2.562886, 2.582586, 
    2.591636, 2.596736, 2.597986, 2.590486, 2.573886, 2.552986, 2.528236, 
    2.496086, 2.464736, 2.438987, 2.416737, 2.394887, 2.377888, 2.362989, 
    2.34179, 2.323743, 2.322746, 2.327248, 2.326151, 2.307703, 2.275805, 
    2.240506, 2.203106, 2.172206, 2.139055, 2.108254, 2.099503, 2.136801, 
    2.196251, 2.256001, 2.299651, 2.329352, 2.349052, 2.363752, 2.363752, 
    2.334801, 2.279101, 2.239, 2.223749, 2.258048, 2.325648, 2.375247, 
    2.427297, 2.488547, 1.775898, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2485379, 0.498826, 0.9603072, 
    1.028149, 1.055248, 1.093197, 1.130947, 1.166196, 1.192246, 1.211296, 
    1.223397, 1.238847, 1.268747, 1.316496, 1.380346, 1.454045, 1.530993, 
    1.609342, 1.687991, 1.75544, 1.796988, 1.798988, 1.760488, 1.692189, 
    1.61299, 1.522941, 1.424042, 1.333443, 1.260994, 1.200095, 1.151446, 
    1.118797, 1.097998, 1.082099, 1.0701, 1.06055, 1.052251, 1.042552, 
    1.028102, 1.007452, 0.9837526, 0.9593526, 0.9407027, 0.7814815, 0.222716, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5479165, 1.85335, 2.167501, 2.160101, 2.157002, 2.154252, 2.147002, 
    2.130202, 2.104752, 2.080002, 2.058552, 2.038851, 2.01975, 1.998899, 
    1.975798, 1.957948, 1.952747, 1.955947, 1.960497, 1.964897, 1.967997, 
    1.970746, 1.972996, 1.974797, 1.975746, 1.976346, 1.977046, 1.977996, 
    1.978496, 1.979347, 1.979497, 1.979497, 1.978997, 1.978147, 1.977947, 
    1.977496, 1.978746, 1.982446, 1.988146, 1.996396, 2.006246, 2.017846, 
    2.035445, 2.060095, 2.086745, 2.117594, 2.154843, 2.173142, 1.607164, 
    0.321701, 0, 0, 0, 0.3899594, 0.5827204, 1.093935, 0.5334929, 0, 0, 0, 0, 
    0, 0.8365892, 0.6145923, 0, 0, 0.3534556, 0.6458955, 0.632497, 0.6250485, 
    0.6227, 0.6394014, 0.6710027, 0.448464, 0.03464472, 0.1362208, 0.6907881, 
    0.6423076, 0.5565348, 0.6026418, 0.9510502, 1.318704, 1.377404, 1.401004, 
    1.400755, 1.404006, 1.413206, 1.435507, 1.483757, 1.565608, 1.68411, 
    1.829811, 1.990011, 2.181712, 2.412963, 2.641864, 2.819264, 2.947313, 
    3.044262, 3.11666, 3.163508, 3.175707, 3.126205, 3.043553, 2.966751, 
    2.9148, 2.883299, 2.857648, 2.832747, 2.807495, 2.806043, 2.835991,
  2.730494, 2.732244, 2.713094, 2.660593, 2.587493, 2.510193, 2.430093, 
    2.346343, 2.268744, 2.199194, 2.140594, 2.107245, 2.101745, 2.116895, 
    2.146745, 2.188445, 2.232745, 2.276695, 2.311095, 2.329144, 2.333494, 
    2.331544, 2.322545, 2.305145, 2.280995, 2.257195, 2.241945, 2.242095, 
    2.254994, 2.277344, 2.305444, 2.332093, 2.353493, 2.375943, 2.397693, 
    2.409593, 2.416243, 2.418693, 2.411994, 2.396194, 2.376244, 2.352444, 
    2.321644, 2.292494, 2.270494, 2.254094, 2.240044, 2.232795, 2.228245, 
    2.224396, 2.238397, 2.279299, 2.323251, 2.357752, 2.371103, 2.361104, 
    2.337255, 2.306755, 2.273255, 2.222854, 2.168753, 2.137402, 2.155951, 
    2.2065, 2.265, 2.3116, 2.34615, 2.368501, 2.384251, 2.382851, 2.34945, 
    2.2841, 2.23175, 2.205649, 2.230599, 2.290598, 2.336998, 2.387249, 
    2.444998, 1.742999, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.04970379, 0.4967378, 0.7445188, 0.9961499, 
    1.0049, 1.0194, 1.038499, 1.062849, 1.089199, 1.117148, 1.141248, 
    1.162548, 1.179848, 1.200248, 1.227998, 1.267298, 1.320798, 1.382697, 
    1.447747, 1.512796, 1.574546, 1.625045, 1.651495, 1.648545, 1.616745, 
    1.559845, 1.493746, 1.417146, 1.332447, 1.255097, 1.194748, 1.145598, 
    1.110349, 1.089999, 1.079499, 1.07285, 1.0705, 1.069501, 1.068751, 
    1.065551, 1.056951, 1.040201, 1.019501, 0.9977517, 0.9806017, 0.6758512, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.7625919, 2.065342, 2.176901, 2.180751, 2.183551, 2.179251, 2.161451, 
    2.133001, 2.105251, 2.080801, 2.054301, 2.02525, 1.99445, 1.9614, 
    1.935599, 1.925999, 1.926199, 1.928049, 1.930299, 1.931249, 1.932549, 
    1.933599, 1.935299, 1.936499, 1.937699, 1.939049, 1.940649, 1.941499, 
    1.942699, 1.942999, 1.942999, 1.942499, 1.941299, 1.940449, 1.939349, 
    1.939749, 1.941899, 1.945599, 1.951149, 1.958248, 1.967098, 1.981098, 
    1.997848, 2.016497, 2.039697, 2.065947, 2.065646, 1.004997, 0, 0, 0, 
    0.249019, 0.8550057, 0.9513929, 0.7914846, 0.2434814, 0, 0, 0, 0, 0, 
    0.7086456, 0.6200542, 0.3172742, 0.302523, 0.3225199, 0.5970485, 
    0.6027492, 0.6143999, 0.3758812, 0.6651512, 0.7122518, 0.5056223, 
    0.4362332, 0.612626, 0.9872535, 1.066854, 1.157253, 1.244303, 1.315253, 
    1.376752, 1.424152, 1.444601, 1.453001, 1.464902, 1.482552, 1.511202, 
    1.565003, 1.656253, 1.788703, 1.943503, 2.108253, 2.302753, 2.536953, 
    2.768203, 2.941752, 3.060352, 3.143152, 3.199401, 3.231501, 3.229651, 
    3.164901, 3.06355, 2.97025, 2.905299, 2.860349, 2.820898, 2.779748, 
    2.734397, 2.708446, 2.713245,
  2.585, 2.57835, 2.5447, 2.48045, 2.4025, 2.32595, 2.25135, 2.1772, 2.11125, 
    2.053, 2.0066, 1.98545, 1.98925, 2.0095, 2.04, 2.0781, 2.11625, 2.15265, 
    2.1799, 2.19515, 2.2, 2.20135, 2.19705, 2.1833, 2.159, 2.13435, 2.11795, 
    2.11575, 2.12225, 2.13505, 2.14935, 2.16125, 2.17425, 2.1953, 2.21945, 
    2.2365, 2.24675, 2.25245, 2.24855, 2.2361, 2.2195, 2.198, 2.1691, 
    2.14175, 2.12325, 2.11175, 2.1046, 2.10525, 2.10975, 2.12195, 2.1706, 
    2.2576, 2.343, 2.4144, 2.46085, 2.47225, 2.459, 2.4342, 2.39555, 2.322, 
    2.239, 2.18015, 2.1726, 2.20675, 2.25925, 2.3072, 2.34555, 2.37045, 
    2.38725, 2.38445, 2.34685, 2.275, 2.21425, 2.18045, 2.1962, 2.24885, 
    2.29275, 2.34085, 2.39455, 2.0732, 0.61275, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.25125, 0.5011, 0.5487, 0.99375, 
    0.99175, 0.99395, 1.00045, 1.01295, 1.02675, 1.04125, 1.0583, 1.07865, 
    1.09775, 1.1172, 1.13575, 1.15615, 1.17825, 1.2077, 1.25075, 1.30165, 
    1.35675, 1.4115, 1.46095, 1.49865, 1.5165, 1.513, 1.4886, 1.44415, 1.392, 
    1.3304, 1.26085, 1.19695, 1.1475, 1.1089, 1.0848, 1.0746, 1.0725, 
    1.07355, 1.0785, 1.0845, 1.0895, 1.09135, 1.0874, 1.07475, 1.0585, 
    1.04155, 1.027, 0.7087499, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0899, 2.1983, 2.2105, 2.21815, 
    2.21455, 2.19405, 2.16225, 2.1315, 2.1039, 2.07355, 2.0355, 1.9957, 
    1.95465, 1.9242, 1.9115, 1.91, 1.9105, 1.91085, 1.91025, 1.91035, 1.9106, 
    1.91195, 1.914, 1.91605, 1.91805, 1.9203, 1.92175, 1.9232, 1.92395, 
    1.924, 1.92325, 1.9218, 1.92, 1.91805, 1.91725, 1.9175, 1.91855, 1.92075, 
    1.92475, 1.9298, 1.9367, 1.94075, 1.9475, 1.96055, 1.9707, 1.6707, 0.485, 
    0, 0, 0.1353, 0.67, 0.8281, 0.7682, 0.532, 0, 0, 0, 0, 0, 0, 0.5959499, 
    0.6274, 0.598, 0.3859, 0.5398, 0.57025, 0.5915, 0.61905, 0.3979, 0.70375, 
    0.7654999, 0.83635, 0.91575, 0.9994, 1.08175, 1.16095, 1.24545, 1.32135, 
    1.3805, 1.43055, 1.46455, 1.48315, 1.49625, 1.51355, 1.5365, 1.5696, 
    1.62675, 1.72065, 1.8531, 2.00485, 2.1625, 2.3471, 2.5673, 2.7826, 2.942, 
    3.04715, 3.1163, 3.1613, 3.18575, 3.17835, 3.1112, 3.0066, 2.91075, 
    2.84185, 2.7928, 2.74855, 2.7015, 2.64675, 2.6047, 2.5902,
  2.450005, 2.435305, 2.387406, 2.313206, 2.233756, 2.159556, 2.090556, 
    2.025705, 1.972255, 1.927904, 1.896704, 1.891403, 1.906003, 1.930752, 
    1.962202, 1.996453, 2.027503, 2.055753, 2.076604, 2.089303, 2.095504, 
    2.099953, 2.100453, 2.090403, 2.068253, 2.044353, 2.026753, 2.019803, 
    2.017004, 2.016654, 2.014355, 2.009805, 2.012006, 2.029256, 2.054656, 
    2.076356, 2.092006, 2.102405, 2.103105, 2.095805, 2.084005, 2.066605, 
    2.040605, 2.016004, 2.000754, 1.993204, 1.991204, 1.998254, 2.009753, 
    2.034203, 2.117952, 2.2496, 2.375499, 2.482497, 2.557846, 2.588745, 
    2.585245, 2.565645, 2.522245, 2.420546, 2.305998, 2.217349, 2.18175, 
    2.1971, 2.240501, 2.287401, 2.328051, 2.355251, 2.372501, 2.368751, 
    2.326901, 2.250451, 2.185251, 2.146652, 2.154752, 2.200902, 2.243252, 
    2.288752, 2.339102, 2.391752, 1.819205, 0.3650722, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5039999, 1.00485, 
    0.9995499, 0.9949499, 0.992, 0.9929, 0.9974, 1.00735, 1.01725, 1.025401, 
    1.035251, 1.048301, 1.061751, 1.076951, 1.092602, 1.107702, 1.120752, 
    1.140103, 1.172253, 1.212253, 1.258004, 1.303754, 1.345304, 1.374955, 
    1.390505, 1.390304, 1.374404, 1.343104, 1.305753, 1.259652, 1.205702, 
    1.155001, 1.115501, 1.085801, 1.07025, 1.06775, 1.072, 1.0787, 1.08895, 
    1.09955, 1.108749, 1.114449, 1.114849, 1.106449, 1.095499, 1.085598, 
    1.075448, 0.9050363, 0.2682295, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1103084, 1.442809, 2.241999, 2.252349, 
    2.246949, 2.222649, 2.187249, 2.15325, 2.122949, 2.08985, 2.04575, 
    1.99955, 1.95385, 1.9214, 1.9075, 1.9055, 1.90595, 1.90555, 1.904, 
    1.9035, 1.90365, 1.9056, 1.908, 1.91075, 1.91395, 1.9166, 1.919, 1.9207, 
    1.9219, 1.922, 1.921, 1.91895, 1.916, 1.91275, 1.9105, 1.9086, 1.90695, 
    1.90505, 1.904001, 1.902251, 1.898551, 1.890052, 1.886502, 1.887502, 
    1.78511, 0.6661007, 0, 0, 0, 0.2473518, 0.7680057, 0.6625049, 0.6266539, 
    0.4375029, 0, 0, 0, 0, 0, 0, 0.2954687, 0.5404029, 0.534252, 0.3432865, 
    0.5165485, 0.56285, 0.5964996, 0.637149, 0.6875985, 0.7546478, 0.8302473, 
    0.9124971, 0.999597, 1.087497, 1.170747, 1.246297, 1.322197, 1.385548, 
    1.431249, 1.472399, 1.501649, 1.522548, 1.538749, 1.558798, 1.584498, 
    1.620048, 1.678248, 1.769698, 1.892849, 2.031049, 2.17425, 2.341251, 
    2.538252, 2.729352, 2.868503, 2.955854, 3.009055, 3.042055, 3.058505, 
    3.047305, 2.982455, 2.884405, 2.794755, 2.730654, 2.686254, 2.646104, 
    2.603004, 2.549404, 2.501804, 2.475254,
  2.325509, 2.30311, 2.24401, 2.16731, 2.09101, 2.020659, 1.957259, 1.901408, 
    1.860007, 1.830856, 1.817205, 1.827654, 1.849503, 1.877303, 1.909903, 
    1.940803, 1.964504, 1.984354, 1.998755, 2.008005, 2.014255, 2.021205, 
    2.026005, 2.020504, 2.001254, 1.980604, 1.963004, 1.951954, 1.941255, 
    1.928105, 1.908907, 1.888008, 1.879509, 1.891659, 1.916359, 1.940759, 
    1.960259, 1.974509, 1.980108, 1.978158, 1.971757, 1.959757, 1.938556, 
    1.917606, 1.905006, 1.900806, 1.902806, 1.914955, 1.932005, 1.964105, 
    2.077753, 2.2492, 2.412247, 2.550445, 2.649093, 2.696792, 2.701742, 
    2.686042, 2.639542, 2.508594, 2.361746, 2.243598, 2.180851, 2.177152, 
    2.209753, 2.253553, 2.294703, 2.323903, 2.341753, 2.337553, 2.292154, 
    2.214153, 2.147503, 2.106403, 2.109104, 2.149404, 2.191004, 2.234004, 
    2.282504, 2.333254, 2.384254, 0.7216513, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1537266, 0.7632107, 1.01015, 1.0031, 
    0.9972997, 0.9937498, 0.9933499, 0.9958001, 1.00245, 1.009001, 1.013451, 
    1.018151, 1.024951, 1.033502, 1.044152, 1.054903, 1.063053, 1.068504, 
    1.078154, 1.098805, 1.128006, 1.165007, 1.202357, 1.237358, 1.262208, 
    1.277008, 1.281308, 1.274707, 1.257206, 1.234255, 1.201854, 1.162003, 
    1.122902, 1.092501, 1.070151, 1.0612, 1.0646, 1.07375, 1.0843, 1.097399, 
    1.110149, 1.121749, 1.130899, 1.135849, 1.132148, 1.127248, 1.123747, 
    1.118097, 1.106397, 0.5489981, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3374014, 1.702085, 2.281948, 
    2.273848, 2.245748, 2.206999, 2.169999, 2.137449, 2.102399, 2.055999, 
    2.006799, 1.959349, 1.925749, 1.91125, 1.90865, 1.90885, 1.9074, 1.9055, 
    1.90465, 1.90515, 1.9076, 1.91025, 1.91395, 1.9184, 1.92205, 1.925499, 
    1.927199, 1.928849, 1.928849, 1.9275, 1.924749, 1.92095, 1.9163, 1.912, 
    1.90805, 1.9038, 1.897201, 1.890251, 1.881201, 1.867352, 1.847553, 
    1.833754, 1.816806, 0.9133122, 0, 0.3222009, 0.1933205, 0, 0.2080524, 
    0.6450074, 0.5611557, 0.5416551, 0.4525419, 0.2517117, 0.07543851, 0, 0, 
    0, 0, 0.04900017, 0.4912016, 0.4975014, 0.513251, 0.53655, 0.5691991, 
    0.6132483, 0.6656976, 0.7305465, 0.8111457, 0.8957453, 0.9817454, 
    1.072245, 1.159395, 1.238746, 1.309696, 1.375997, 1.427248, 1.465748, 
    1.503548, 1.534598, 1.557648, 1.576247, 1.599047, 1.627847, 1.664397, 
    1.720997, 1.805948, 1.917599, 2.0408, 2.167501, 2.313803, 2.486255, 
    2.653257, 2.773008, 2.844459, 2.88466, 2.90696, 2.916011, 2.901612, 
    2.840661, 2.750211, 2.66751, 2.60931, 2.569809, 2.534959, 2.497258, 
    2.448358, 2.400408, 2.366708,
  2.211513, 2.184563, 2.123912, 2.052011, 1.980761, 1.91511, 1.856959, 
    1.809009, 1.778008, 1.762056, 1.764005, 1.782355, 1.809254, 1.841403, 
    1.876603, 1.905453, 1.923254, 1.935455, 1.942805, 1.946756, 1.951256, 
    1.958906, 1.966106, 1.964256, 1.948506, 1.932405, 1.917305, 1.905354, 
    1.890755, 1.869855, 1.838006, 1.805107, 1.788508, 1.796408, 1.818109, 
    1.842259, 1.862009, 1.877209, 1.885609, 1.887509, 1.886258, 1.879408, 
    1.863457, 1.846357, 1.836756, 1.835206, 1.840656, 1.855206, 1.875005, 
    1.909855, 2.037305, 2.238003, 2.4305, 2.592198, 2.709246, 2.769395, 
    2.781244, 2.768244, 2.720444, 2.572644, 2.397997, 2.2538, 2.165253, 
    2.140905, 2.160757, 2.199157, 2.240308, 2.271207, 2.290007, 2.286757, 
    2.240207, 2.165906, 2.102256, 2.062405, 2.061905, 2.097556, 2.139256, 
    2.181306, 2.229955, 2.281355, 2.335755, 1.54576, 1.089101, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3085498, 1.024249, 
    1.015799, 1.007649, 1.001149, 0.9967496, 0.9947998, 0.99525, 0.9992003, 
    1.003001, 1.004701, 1.006051, 1.008252, 1.012502, 1.018852, 1.024753, 
    1.026704, 1.025754, 1.026555, 1.036356, 1.055257, 1.083508, 1.113159, 
    1.14206, 1.16406, 1.17926, 1.18851, 1.191409, 1.186507, 1.176256, 
    1.156205, 1.128803, 1.099502, 1.076751, 1.059951, 1.0557, 1.06365, 
    1.0765, 1.08935, 1.103449, 1.117149, 1.129499, 1.141499, 1.150449, 
    1.152148, 1.152748, 1.152297, 1.149847, 1.144846, 0.5704979, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5738812, 1.148463, 2.185273, 2.269797, 2.229747, 2.192147, 2.157897, 
    2.120447, 2.072498, 2.022098, 1.973748, 1.938448, 1.922248, 1.916549, 
    1.913849, 1.91025, 1.90775, 1.90665, 1.90715, 1.90975, 1.91325, 1.918149, 
    1.92305, 1.928349, 1.932499, 1.934899, 1.937299, 1.937199, 1.935499, 
    1.932049, 1.927399, 1.921349, 1.914999, 1.90935, 1.90175, 1.890501, 
    1.878251, 1.862502, 1.840003, 1.813203, 1.787005, 1.747157, 0.1736508, 0, 
    0.3223237, 0.1933942, 0, 0.1824022, 0.5705058, 0.5123525, 0.5001518, 
    0.4975518, 0.4955018, 0.3173619, 0.2153008, 0, 0, 0, 0.2361069, 
    0.4796002, 0.48825, 0.5084496, 0.5420488, 0.5855977, 0.6392465, 
    0.7026952, 0.7798938, 0.869993, 0.9584926, 1.044193, 1.135243, 1.218193, 
    1.291744, 1.357595, 1.415746, 1.461446, 1.499246, 1.535296, 1.567146, 
    1.592596, 1.613745, 1.638045, 1.666746, 1.701496, 1.753247, 1.829498, 
    1.92845, 2.036101, 2.145003, 2.270006, 2.417809, 2.561161, 2.662264, 
    2.719265, 2.748216, 2.761017, 2.763518, 2.746768, 2.689968, 2.608166, 
    2.533266, 2.481115, 2.447264, 2.417814, 2.385763, 2.343212, 2.299011, 
    2.262712,
  2.108015, 2.082464, 2.028313, 1.962862, 1.897011, 1.836061, 1.78346, 
    1.741809, 1.718758, 1.711457, 1.720207, 1.742656, 1.776255, 1.814404, 
    1.854703, 1.883203, 1.896753, 1.902604, 1.903305, 1.901206, 1.901507, 
    1.907057, 1.913658, 1.912508, 1.900757, 1.890056, 1.880155, 1.871304, 
    1.857754, 1.835104, 1.798504, 1.760554, 1.740004, 1.744305, 1.761656, 
    1.782156, 1.799257, 1.812157, 1.819708, 1.822458, 1.823258, 1.819158, 
    1.807407, 1.794257, 1.787756, 1.788606, 1.796406, 1.811156, 1.832006, 
    1.866506, 1.995506, 2.212454, 2.423502, 2.60095, 2.731349, 2.799398, 
    2.815747, 2.804097, 2.756297, 2.602798, 2.4085, 2.243253, 2.132556, 
    2.089959, 2.09776, 2.129711, 2.169962, 2.202811, 2.223761, 2.22336, 
    2.180459, 2.112108, 2.053257, 2.017507, 2.016706, 2.049707, 2.092507, 
    2.134607, 2.182357, 2.232808, 2.290508, 2.350659, 2.149359, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05253397, 0.6785374, 
    1.031249, 1.021949, 1.013599, 1.006349, 1.000749, 0.9972495, 0.9960997, 
    0.9971002, 0.9987505, 0.9986507, 0.9970012, 0.9953519, 0.9957524, 
    0.9986028, 1.001253, 0.9998034, 0.994004, 0.9878548, 0.9893559, 0.999807, 
    1.020008, 1.042659, 1.06711, 1.08671, 1.10276, 1.115659, 1.126009, 
    1.130557, 1.130506, 1.121005, 1.104153, 1.083002, 1.065501, 1.052201, 
    1.051701, 1.0634, 1.079, 1.0932, 1.1075, 1.12165, 1.134249, 1.1472, 
    1.159449, 1.164899, 1.167499, 0.757924, 0.6402596, 0.990802, 0.2898384, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.158582, 2.300945, 2.262744, 2.228043, 2.193743, 
    2.153843, 2.103744, 2.052594, 2.002694, 1.964695, 1.944496, 1.931997, 
    1.922098, 1.914799, 1.91075, 1.90915, 1.90965, 1.912549, 1.917249, 
    1.922649, 1.927649, 1.934299, 1.939749, 1.943449, 1.946349, 1.946848, 
    1.945248, 1.941199, 1.935449, 1.928699, 1.920749, 1.912449, 1.9007, 
    1.884301, 1.866752, 1.844653, 1.814404, 1.783505, 1.321636, 0.8580117, 
    0.157154, 0.6931384, 0.3149039, 0, 0, 0.1683014, 0.535253, 0.4965515, 
    0.4872015, 0.4845516, 0.4817517, 0.4779018, 0.4493943, 0.1630502, 0, 0, 
    0.2361075, 0.4796497, 0.491749, 0.5160982, 0.5565472, 0.6075464, 
    0.6697453, 0.743144, 0.8312926, 0.9294412, 1.019491, 1.103941, 1.193042, 
    1.272142, 1.341493, 1.402093, 1.457493, 1.504093, 1.541493, 1.574344, 
    1.604244, 1.629594, 1.650995, 1.673795, 1.699146, 1.729297, 1.774498, 
    1.840699, 1.925851, 2.017404, 2.108507, 2.21221, 2.335413, 2.455717, 
    2.53877, 2.582272, 2.601323, 2.606374, 2.603275, 2.585125, 2.533324, 
    2.461273, 2.394771, 2.34927, 2.321219, 2.297169, 2.270768, 2.234567, 
    2.196216, 2.161265,
  2.012018, 1.989968, 1.942316, 1.883365, 1.823264, 1.767713, 1.720962, 
    1.68546, 1.668259, 1.664359, 1.675159, 1.704757, 1.746256, 1.791954, 
    1.838803, 1.868253, 1.878753, 1.879804, 1.874455, 1.867206, 1.861007, 
    1.861458, 1.864809, 1.863109, 1.855259, 1.850907, 1.848556, 1.846154, 
    1.837503, 1.818002, 1.783351, 1.74555, 1.724251, 1.725351, 1.737652, 
    1.752953, 1.765504, 1.774555, 1.778856, 1.780006, 1.779507, 1.775857, 
    1.766906, 1.757006, 1.752756, 1.754455, 1.762805, 1.777006, 1.797006, 
    1.829956, 1.957907, 2.180007, 2.401006, 2.588054, 2.726653, 2.799653, 
    2.818002, 2.806602, 2.758203, 2.601353, 2.396754, 2.216306, 2.088259, 
    2.030962, 2.028513, 2.054415, 2.093265, 2.128914, 2.152763, 2.155963, 
    2.119062, 2.05841, 2.006758, 1.976807, 1.976557, 2.007708, 2.051008, 
    2.092558, 2.137158, 2.182409, 2.236261, 2.287663, 2.083164, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5354357, 1.052398, 
    1.039248, 1.029248, 1.020549, 1.012699, 1.006249, 1.001549, 0.9985494, 
    0.9969997, 0.9965001, 0.9939009, 0.9880019, 0.9821028, 0.9795033, 
    0.9797037, 0.980404, 0.9786538, 0.9717535, 0.9631034, 0.9608536, 
    0.9671037, 0.9825042, 1.001055, 1.022655, 1.040405, 1.055506, 1.069206, 
    1.082756, 1.093555, 1.100254, 1.098553, 1.088552, 1.072252, 0.7953513, 
    0.5244001, 0.5250503, 0.531803, 0.8126021, 0.7109966, 0.5547116, 
    0.7317495, 1.13725, 1.150199, 1.163849, 1.16975, 1.17175, 0.3516, 
    0.05862237, 0.4103566, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2339496, 2.330646, 2.301243, 
    2.27744, 2.247638, 2.204289, 2.15099, 2.09909, 2.04814, 2.00734, 
    1.980242, 1.957694, 1.934947, 1.919849, 1.914499, 1.912299, 1.913099, 
    1.916349, 1.921999, 1.927649, 1.933099, 1.940099, 1.946999, 1.952148, 
    1.956298, 1.957498, 1.955998, 1.951348, 1.944548, 1.937548, 1.928249, 
    1.916849, 1.90065, 1.878951, 1.855752, 1.827303, 1.789255, 1.753806, 
    0.868503, 0.5513894, 0.8087462, 1.348615, 0.6120068, 0, 0.02973864, 
    0.3692716, 0.5207518, 0.4908503, 0.4802508, 0.4769009, 0.4735009, 
    0.4697508, 0.4666506, 0.3955735, 0.1162056, 0, 0.0238591, 0.3144634, 
    0.4989985, 0.5295971, 0.576046, 0.6331947, 0.7027432, 0.7841917, 
    0.8807904, 0.9852896, 1.07524, 1.15854, 1.24629, 1.326039, 1.39274, 
    1.45034, 1.504441, 1.549792, 1.584742, 1.613743, 1.639844, 1.662494, 
    1.681245, 1.701396, 1.723046, 1.747797, 1.785249, 1.840201, 1.910754, 
    1.985707, 2.058761, 2.140915, 2.240369, 2.337424, 2.403277, 2.434829, 
    2.444981, 2.443832, 2.436782, 2.417482, 2.371981, 2.30968, 2.252527, 
    2.214276, 2.191725, 2.173024, 2.152273, 2.122422, 2.09007, 2.05872,
  1.918521, 1.899271, 1.857819, 1.805517, 1.752266, 1.703564, 1.662963, 
    1.633162, 1.619261, 1.615161, 1.628911, 1.665859, 1.716007, 1.770005, 
    1.822604, 1.853954, 1.862754, 1.860354, 1.850855, 1.838206, 1.825758, 
    1.819609, 1.817661, 1.815861, 1.812259, 1.814958, 1.821556, 1.827803, 
    1.826252, 1.81385, 1.784798, 1.750997, 1.730247, 1.728747, 1.735648, 
    1.7451, 1.752751, 1.757602, 1.757853, 1.755404, 1.752754, 1.748704, 
    1.741004, 1.733454, 1.730504, 1.731754, 1.738804, 1.751405, 1.769006, 
    1.799556, 1.924307, 2.143009, 2.36526, 2.55531, 2.69751, 2.772159, 
    2.79026, 2.77826, 2.72871, 2.571011, 2.36501, 2.17686, 2.036863, 
    1.968715, 1.958016, 1.979167, 2.017467, 2.055817, 2.083016, 2.089915, 
    2.059763, 2.008811, 1.966009, 1.942107, 1.943257, 1.971458, 2.013258, 
    2.054358, 2.096958, 2.13651, 2.179513, 2.216567, 2.010466, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05942274, 0.5901792, 0.573237, 0.5569944, 
    1.027172, 1.062598, 1.048498, 1.037898, 1.028598, 1.020698, 1.013748, 
    1.008198, 1.003598, 1.000249, 0.9972494, 0.9911002, 0.9800513, 0.9698523, 
    0.9647529, 0.9631532, 0.9639528, 0.9639023, 0.9595014, 0.9526507, 
    0.9519498, 0.9600987, 0.9754981, 0.9943976, 1.015697, 1.032647, 1.044498, 
    1.056349, 1.069999, 1.083649, 1.093249, 1.094798, 1.086399, 0.9105225, 
    0.2651215, 0, 0, 0, 0.272625, 0.163575, 0, 0.1700279, 0.5695111, 
    0.5761141, 1.108476, 1.1713, 0.8791344, 0.1758806, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.1175539, 1.524425, 2.34074, 2.338085, 2.317882, 2.268584, 2.210985, 
    2.157236, 2.105936, 2.061986, 2.026988, 1.991292, 1.952096, 1.925049, 
    1.918999, 1.916449, 1.917199, 1.921349, 1.927249, 1.933149, 1.939099, 
    1.946448, 1.954248, 1.961348, 1.967247, 1.969347, 1.474723, 0.9786987, 
    1.856742, 1.947248, 1.936748, 1.922748, 1.90165, 1.874601, 1.845752, 
    1.810604, 1.764655, 1.725106, 1.254569, 1.324349, 1.440965, 1.109292, 
    0.2971362, 0, 0.3351235, 0.5706519, 0.5169995, 0.4902999, 0.4773004, 
    0.4725509, 0.4697506, 0.4666004, 0.4651, 0.465, 0.3491965, 0.07001787, 
    0.02408895, 0.3172724, 0.5057487, 0.5429474, 0.5964955, 0.5528432, 
    0.3604152, 0.7074451, 0.9313383, 1.039288, 1.128738, 1.210838, 1.297589, 
    1.378589, 1.442989, 1.49794, 1.548441, 1.589742, 1.620493, 1.645644, 
    1.667894, 1.687545, 1.703996, 1.720796, 1.737998, 1.756849, 1.785251, 
    1.828354, 1.883608, 1.941012, 1.996016, 2.057321, 2.132976, 2.207481, 
    2.256535, 2.277587, 2.280139, 2.27409, 2.26404, 2.24419, 2.205239, 
    2.153736, 2.106784, 2.076282, 2.058731, 2.04473, 2.029029, 2.005627, 
    1.979926, 1.953724,
  1.828523, 1.812772, 1.777421, 1.732319, 1.686267, 1.644415, 1.609864, 
    1.583663, 1.569014, 1.564164, 1.580563, 1.623162, 1.68101, 1.742359, 
    1.799957, 1.833307, 1.841507, 1.837807, 1.825708, 1.808658, 1.79126, 
    1.778761, 1.772012, 1.770612, 1.771011, 1.780859, 1.796607, 1.812404, 
    1.819252, 1.815249, 1.794247, 1.766745, 1.747745, 1.744495, 1.747096, 
    1.751397, 1.754498, 1.755149, 1.75135, 1.745301, 1.740502, 1.735352, 
    1.728902, 1.722102, 1.719252, 1.719552, 1.724303, 1.734303, 1.749004, 
    1.775955, 1.894707, 2.10511, 2.319013, 2.504216, 2.644018, 2.716718, 
    2.733019, 2.719919, 2.66977, 2.512919, 2.310518, 2.123866, 1.979316, 
    1.904567, 1.888018, 1.905769, 1.943669, 1.984719, 2.015268, 2.025867, 
    2.003565, 1.964062, 1.929759, 1.912257, 1.916306, 1.940957, 1.978009, 
    2.01821, 2.06011, 1.780429, 1.603294, 2.148517, 1.093772, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6193317, 1.190995, 1.154996, 1.122146, 
    1.094846, 1.073947, 1.058997, 1.047897, 1.038547, 1.030347, 1.023497, 
    1.017347, 1.011598, 1.006648, 1.000999, 0.9907999, 0.975151, 0.9616017, 
    0.9542523, 0.9521522, 0.9545518, 0.9579505, 0.9579992, 0.956647, 
    0.9624446, 0.9766427, 0.9967408, 1.020689, 1.046687, 1.062087, 1.069988, 
    1.079289, 1.09109, 1.103991, 1.113241, 1.113042, 1.044174, 0.3764516, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5260817, 0.586314, 0.293157, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.3531391, 1.785809, 2.401834, 2.392531, 2.337032, 
    2.275733, 2.220033, 2.168184, 2.120335, 2.076487, 2.026691, 1.971145, 
    1.931748, 1.924748, 1.921948, 1.922748, 1.927348, 1.933248, 1.938798, 
    1.945098, 1.952948, 1.961748, 1.971247, 1.978797, 1.982346, 0.9909981, 0, 
    1.770597, 1.959446, 1.947497, 1.930298, 1.904149, 1.87175, 1.837252, 
    1.795754, 1.742456, 1.698557, 1.633009, 1.52686, 1.38951, 0.8953068, 
    0.2416205, 0.4367159, 0.6538271, 0.5692984, 0.5189995, 0.4900503, 
    0.4757503, 0.4700503, 0.4677504, 0.4654501, 0.465, 0.4651499, 0.4662499, 
    0.3045119, 0.2624851, 0.4876494, 0.5112485, 0.5547967, 0.6159948, 
    0.4675951, 0, 0.6250914, 0.9809371, 1.091286, 1.178987, 1.258288, 
    1.343489, 1.42199, 1.48424, 1.536691, 1.583892, 1.621343, 1.648244, 
    1.669545, 1.688396, 1.704946, 1.718497, 1.731349, 1.743949, 1.756601, 
    1.775004, 1.805308, 1.844512, 1.884467, 1.922271, 1.963226, 2.015133, 
    2.067539, 2.099793, 2.111396, 2.108247, 2.098498, 2.086298, 2.067447, 
    2.036945, 1.997292, 1.961038, 1.939486, 1.927184, 1.917133, 1.905532, 
    1.888331, 1.869979, 1.852126,
  1.750521, 1.73792, 1.708069, 1.669967, 1.630515, 1.594213, 1.561764, 
    1.534915, 1.517266, 1.511166, 1.529166, 1.575215, 1.638264, 1.705513, 
    1.767262, 1.802111, 1.81126, 1.80781, 1.793761, 1.774412, 1.753512, 
    1.736113, 1.726214, 1.725514, 1.730013, 1.746061, 1.770109, 1.794656, 
    1.810254, 1.815001, 1.803098, 1.782296, 1.766245, 1.762445, 1.761546, 
    1.761348, 1.760249, 1.75705, 1.749451, 1.740702, 1.733752, 1.727852, 
    1.722402, 1.716901, 1.714501, 1.713851, 1.716802, 1.724552, 1.736003, 
    1.758305, 1.868457, 2.066162, 2.265517, 2.437922, 2.568276, 2.635329, 
    2.64853, 2.63443, 2.585479, 2.433227, 2.238274, 2.059771, 1.918569, 
    1.842169, 1.822019, 1.83687, 1.873871, 1.91667, 1.94952, 1.964169, 
    1.950316, 1.922163, 1.89626, 1.885758, 1.892907, 1.914608, 1.946009, 
    1.292534, 1.021576, 0.7231932, 1.042507, 1.367959, 0.106065, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3470371, 0.6706385, 1.196503, 1.210294, 
    1.170995, 1.136946, 1.108346, 1.086296, 1.070996, 1.059896, 1.050496, 
    1.041996, 1.035496, 1.028996, 1.022546, 1.016346, 1.007747, 0.9928488, 
    0.9732, 0.956651, 0.9480013, 0.9460012, 0.9507003, 0.9586489, 0.964247, 
    0.9708946, 0.9864414, 1.010388, 1.040234, 1.07498, 1.112475, 1.126175, 
    1.131226, 1.138726, 1.149076, 1.160676, 1.168227, 1.161429, 0.5592698, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.221743, 2.459583, 2.455483, 2.396434, 2.333234, 2.277034, 2.224534, 
    2.172885, 2.119988, 2.057991, 1.988145, 1.941446, 1.933247, 1.930297, 
    1.931197, 1.935347, 1.940498, 1.945298, 1.951148, 1.959098, 1.969248, 
    1.981497, 1.192536, 1.996146, 0.9982477, 0.6985214, 1.883834, 1.973645, 
    1.960496, 1.939997, 1.909098, 1.8714, 1.831251, 1.783753, 1.723805, 
    1.676806, 1.607006, 1.497656, 1.298545, 0.4416206, 0.4835, 0.8766983, 
    0.701647, 0.5691019, 0.5152529, 0.4880009, 0.4747503, 0.4689004, 
    0.4667501, 0.4653, 0.46505, 0.4657997, 0.4672495, 0.4697496, 0.4774997, 
    0.4898994, 0.5177477, 0.5676458, 0.6007153, 0.3558741, 0.19563, 
    0.6565906, 1.026937, 1.137237, 1.220989, 1.297389, 1.38044, 1.456241, 
    1.515992, 1.566293, 1.609944, 1.643945, 1.667495, 1.685796, 1.701397, 
    1.714698, 1.724999, 1.73425, 1.742901, 1.750303, 1.759505, 1.776409, 
    1.799514, 1.822919, 1.844524, 1.867179, 1.896585, 1.926392, 1.942547, 
    1.94505, 1.937751, 1.925052, 1.912052, 1.896251, 1.874648, 1.847294, 
    1.822541, 1.810038, 1.803587, 1.797535, 1.790534, 1.78143, 1.772077, 
    1.763724,
  1.703509, 1.691959, 1.66356, 1.626911, 1.589012, 1.552863, 1.517765, 
    1.487666, 1.467017, 1.458967, 1.477218, 1.524668, 1.590017, 1.660617, 
    1.724716, 1.761066, 1.771765, 1.769165, 1.754265, 1.733465, 1.710516, 
    1.690367, 1.678417, 1.679066, 1.688015, 1.708863, 1.738712, 1.77061, 
    1.794007, 1.806905, 1.803502, 1.789649, 1.777498, 1.774098, 1.770498, 
    1.766599, 1.7625, 1.755951, 1.745052, 1.734103, 1.725503, 1.719353, 
    1.715053, 1.712352, 1.711751, 1.7115, 1.713301, 1.719451, 1.728252, 
    1.745803, 1.844508, 2.023865, 2.203273, 2.356781, 2.472187, 2.53064, 
    2.540291, 2.525791, 2.47999, 2.338035, 2.157279, 1.993322, 1.861768, 
    1.789316, 1.768265, 1.781166, 1.816417, 1.858317, 1.892267, 1.909767, 
    1.902065, 1.883263, 1.86576, 1.861558, 1.871107, 1.890708, 1.43884, 
    0.2921017, 0.0993313, 0.9954116, 1.01576, 1.011678, 0.9949619, 0.6886737, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2225961, 1.071239, 1.353242, 1.282293, 
    1.227495, 1.186995, 1.151745, 1.122345, 1.099645, 1.084245, 1.073395, 
    1.064045, 1.055995, 1.049745, 1.043494, 1.036994, 1.030194, 1.019245, 
    0.9998965, 0.9761979, 0.9561992, 0.9462498, 0.9443498, 0.9513492, 
    0.9639975, 0.9749959, 0.9894932, 1.01524, 1.052835, 1.097728, 1.149272, 
    1.205714, 1.220013, 1.224713, 1.232212, 1.244161, 1.258459, 1.265209, 
    0.7962758, 0.05954112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.6174264, 2.129547, 2.500488, 2.440238, 
    2.377737, 2.321887, 2.269786, 2.214887, 2.154739, 2.083042, 2.004594, 
    1.955145, 1.945995, 1.942795, 1.943195, 1.946396, 1.949746, 1.953097, 
    1.958147, 1.965598, 1.976997, 1.29203, 0.199788, 1.305283, 1.510898, 
    1.706986, 1.999844, 1.989494, 1.975494, 1.952395, 1.917047, 1.874348, 
    1.82925, 1.776102, 1.710553, 1.660855, 1.589755, 1.479805, 1.220054, 0, 
    0.4859983, 0.8879942, 0.7184917, 0.570397, 0.3878348, 0.4141001, 
    0.4777476, 0.4720475, 0.4704972, 0.4699968, 0.4700966, 0.4712965, 
    0.4727467, 0.4745471, 0.4820971, 0.4962963, 0.5282453, 0.5829441, 
    0.585893, 0.2393969, 0.624339, 0.8187485, 1.06399, 1.17219, 1.252741, 
    1.326642, 1.407442, 1.480993, 1.537994, 1.585895, 1.626446, 1.657197, 
    1.677998, 1.693899, 1.7064, 1.716451, 1.723752, 1.729653, 1.734904, 
    1.738905, 1.742756, 1.748709, 1.756964, 1.764669, 1.771524, 1.778729, 
    1.788035, 1.797342, 1.801545, 1.800494, 1.795891, 1.788886, 1.782281, 
    1.774977, 1.765371, 1.753814, 1.743259, 1.737607, 1.733957, 1.729457, 
    1.725008, 1.720558, 1.716508, 1.712458,
  1.67801, 1.665411, 1.635011, 1.595812, 1.555263, 1.516113, 1.477365, 
    1.444416, 1.421266, 1.411767, 1.429217, 1.476318, 1.541768, 1.612468, 
    1.677218, 1.714368, 1.726268, 1.724867, 1.710167, 1.688168, 1.663768, 
    1.642169, 1.629069, 1.630669, 1.642518, 1.666618, 1.699767, 1.735966, 
    1.765514, 1.785261, 1.790008, 1.784305, 1.777003, 1.774952, 1.770902, 
    1.765002, 1.758503, 1.749204, 1.736055, 1.723155, 1.713256, 1.706856, 
    1.704155, 1.704454, 1.706253, 1.707353, 1.709202, 1.714153, 1.721253, 
    1.734305, 1.817862, 1.971923, 2.126034, 2.257043, 2.3537, 2.401754, 
    2.409055, 2.395355, 2.355301, 2.230743, 2.073282, 1.931922, 1.817764, 
    1.754359, 1.735758, 1.747259, 1.77901, 1.818212, 1.850763, 1.868613, 
    1.862813, 1.849712, 1.83926, 1.839308, 1.851057, 1.590223, 0.4733639, 0, 
    0.9743029, 1.976762, 1.485377, 1.686134, 1.968368, 1.645095, 0.4726361, 
    0, 0, 0, 0, 0, 0, 0.2590006, 0.8555912, 0.2543541, 0, 0.4478982, 
    1.456744, 1.373243, 1.299494, 1.243494, 1.202744, 1.167244, 1.136894, 
    1.113644, 1.098244, 1.087744, 1.079094, 1.071994, 1.066243, 1.060493, 
    1.053993, 1.047193, 1.034744, 1.011445, 0.9836965, 0.960098, 0.9479989, 
    0.9453495, 0.9539989, 0.9705477, 0.9859962, 1.008443, 1.045988, 1.099331, 
    1.163723, 1.238263, 1.320252, 1.339099, 1.346448, 1.357645, 1.375792, 
    1.397938, 1.035222, 0.1986027, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.3062142, 0.510357, 0, 0, 0, 0, 1.782192, 2.533388, 
    2.472838, 2.412488, 2.358786, 2.309285, 2.251336, 2.185988, 2.108389, 
    2.02619, 1.974841, 1.964741, 1.960592, 1.959643, 1.960794, 1.961995, 
    1.963195, 1.966197, 1.972597, 1.985247, 0.5978988, 0, 0.3033832, 
    1.520385, 2.026342, 2.018293, 2.006993, 1.992493, 1.967144, 1.928095, 
    1.881946, 1.832498, 1.7743, 1.704351, 1.654, 1.583, 1.4728, 1.214949, 0, 
    0.4952448, 0.9078912, 0.7049696, 0.2876211, 0.1326019, 0.1709314, 
    0.2654161, 0.4843433, 0.4839927, 0.4846923, 0.485492, 0.4862923, 
    0.4867429, 0.486494, 0.4932446, 0.5085946, 0.5422444, 0.599344, 
    0.6035942, 0.2474972, 0.8699904, 0.9779905, 1.088843, 1.195593, 1.273994, 
    1.345045, 1.423396, 1.494547, 1.549248, 1.594499, 1.6324, 1.660101, 
    1.678502, 1.691653, 1.701854, 1.709205, 1.713756, 1.717256, 1.720407, 
    1.722457, 1.724258, 1.725358, 1.726408, 1.726508, 1.726508, 1.726508, 
    1.726508, 1.726508, 1.726508, 1.726508, 1.726508, 1.726508, 1.726258, 
    1.725308, 1.723908, 1.721559, 1.719259, 1.716259, 1.712009, 1.707159, 
    1.702009, 1.696859, 1.69246, 1.68781,
  1.650512, 1.637212, 1.605513, 1.565013, 1.523014, 1.482064, 1.440915, 
    1.405815, 1.381016, 1.370566, 1.386717, 1.432518, 1.496768, 1.56557, 
    1.628871, 1.66652, 1.67927, 1.67907, 1.665069, 1.642519, 1.617269, 
    1.59447, 1.58007, 1.581121, 1.59477, 1.61997, 1.65422, 1.69187, 1.725768, 
    1.751616, 1.764513, 1.767259, 1.765757, 1.765306, 1.761756, 1.754556, 
    1.746007, 1.734308, 1.71851, 1.702711, 1.691012, 1.684213, 1.682762, 
    1.685711, 1.68976, 1.69241, 1.695609, 1.700508, 1.707258, 1.717159, 
    1.782617, 1.90673, 2.033042, 2.140102, 2.21731, 2.255664, 2.262314, 
    2.251112, 2.219458, 2.119397, 1.991783, 1.878171, 1.78816, 1.739303, 
    1.726, 1.73615, 1.764051, 1.799953, 1.830003, 1.847453, 1.842053, 
    1.832702, 1.827, 1.829349, 1.751277, 0.6508515, 0, 0.6710804, 1.843072, 
    1.954256, 1.95926, 1.952013, 1.928414, 1.894015, 1.392121, 0.8972384, 
    0.1754511, 0.604287, 0, 0.6046367, 0.8637667, 1.121088, 1.707504, 
    1.088908, 0.8097126, 1.001032, 1.469996, 1.387945, 1.314544, 1.258994, 
    1.217994, 1.182244, 1.151394, 1.127794, 1.112744, 1.102594, 1.095093, 
    1.089143, 1.083992, 1.078492, 1.072442, 1.065692, 1.052242, 1.025843, 
    0.9941949, 0.9668466, 0.9519979, 0.9479983, 0.9575983, 0.9769471, 
    0.9967451, 1.026692, 1.078136, 1.149578, 1.236718, 1.339605, 1.455738, 
    1.49902, 1.514665, 1.536608, 1.570099, 1.346013, 0.3733163, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.08392876, 1.170427, 
    1.470369, 1.050109, 1.139033, 1.202529, 1.254185, 2.185467, 2.563188, 
    2.501788, 2.443737, 2.393386, 2.347384, 2.287934, 2.218986, 2.139186, 
    2.054337, 2.001388, 1.989738, 1.983689, 1.98059, 1.979042, 1.977243, 
    1.975444, 1.974896, 1.979947, 1.492172, 0.2999542, 0, 0, 1.023996, 
    2.045192, 2.036742, 2.024343, 2.009493, 1.983443, 1.942993, 1.894344, 
    1.842244, 1.781394, 1.709644, 1.661094, 1.589995, 1.476197, 1.214401, 0, 
    0.5024996, 0.9175016, 0.6756033, 0, 0, 0, 0.02467091, 0.3258419, 
    0.5109851, 0.5121852, 0.5129355, 0.5126861, 0.5102379, 0.5067394, 
    0.5112907, 0.5252917, 0.557743, 0.6139942, 0.3762495, 0.3956273, 
    0.678673, 0.999742, 1.104845, 1.209996, 1.285747, 1.353798, 1.429349, 
    1.497601, 1.549752, 1.591753, 1.627304, 1.652006, 1.668007, 1.678758, 
    1.687308, 1.692908, 1.696259, 1.698559, 1.70046, 1.70166, 1.70226, 
    1.70286, 1.70346, 1.703511, 1.703511, 1.703511, 1.703511, 1.703511, 
    1.703511, 1.703511, 1.703511, 1.703511, 1.70326, 1.70231, 1.700511, 
    1.69826, 1.695261, 1.691911, 1.687061, 1.682161, 1.676511, 1.670862, 
    1.665962, 1.660812,
  1.622512, 1.608863, 1.576513, 1.535513, 1.493013, 1.450863, 1.408813, 
    1.372014, 1.346015, 1.334715, 1.349716, 1.393916, 1.455518, 1.52097, 
    1.581072, 1.618173, 1.632022, 1.633271, 1.62102, 1.599519, 1.574019, 
    1.550619, 1.53502, 1.53492, 1.54952, 1.57427, 1.607721, 1.645022, 
    1.680272, 1.710621, 1.731067, 1.742063, 1.746011, 1.74716, 1.743261, 
    1.735111, 1.724262, 1.709564, 1.690515, 1.671616, 1.657518, 1.649368, 
    1.648818, 1.653518, 1.659267, 1.664316, 1.670014, 1.676013, 1.683013, 
    1.692463, 1.737673, 1.831187, 1.9303, 2.014359, 2.075316, 2.106369, 
    2.113568, 2.106066, 2.083262, 2.013947, 1.919531, 1.835267, 1.770056, 
    1.73655, 1.729497, 1.739597, 1.765497, 1.799148, 1.827748, 1.844099, 
    1.840748, 1.836545, 1.835742, 1.84124, 0.9238341, 0, 0, 0.6722729, 
    1.840388, 1.943354, 1.939258, 1.924661, 1.896464, 1.859065, 1.822016, 
    1.779715, 1.036164, 1.456271, 0.8512098, 1.459669, 1.720508, 1.717257, 
    1.697005, 1.666253, 1.620001, 1.556596, 1.481993, 1.402492, 1.330892, 
    1.275192, 1.233493, 1.197043, 1.165443, 1.141794, 1.126994, 1.117443, 
    1.111043, 1.105793, 1.101242, 1.096342, 1.091341, 1.084691, 1.070991, 
    1.042592, 1.007243, 0.9765947, 0.958746, 0.9527974, 0.9622476, 0.983697, 
    1.007745, 1.044742, 1.109586, 1.201776, 1.314963, 1.450896, 1.610175, 
    1.699102, 1.730393, 1.772182, 1.73221, 0.6071126, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.162655, 1.671553, 1.861305, 
    2.068881, 2.279201, 2.418539, 2.528733, 2.60078, 2.59903, 2.535282, 
    2.477983, 2.429432, 2.384882, 2.325982, 2.255732, 2.175681, 2.089782, 
    2.034933, 2.021233, 2.012785, 2.006536, 2.001139, 1.995491, 1.989843, 
    1.985494, 1.988146, 0.9959981, 0, 0, 0, 1.032246, 2.061693, 2.053243, 
    2.040693, 2.025493, 2.000142, 1.960442, 1.911841, 1.85949, 1.79874, 
    1.72729, 1.680239, 1.606241, 1.484645, 1.217446, 0, 0.5054977, 0.6105333, 
    0.3361615, 0, 0, 0, 0, 0.1654435, 0.5519782, 0.5524788, 0.5513302, 
    0.5476328, 0.5412345, 0.5344858, 0.536287, 0.5476882, 0.5777391, 
    0.4015036, 0.3566497, 0.2704506, 0.477747, 1.013596, 1.111699, 1.213252, 
    1.287252, 1.354951, 1.428302, 1.493203, 1.542005, 1.581006, 1.613358, 
    1.635409, 1.64926, 1.658561, 1.665811, 1.670262, 1.673012, 1.674712, 
    1.675962, 1.676512, 1.676762, 1.677362, 1.677513, 1.677513, 1.677513, 
    1.677513, 1.677513, 1.677513, 1.677513, 1.677513, 1.677513, 1.677513, 
    1.677513, 1.676813, 1.674563, 1.672263, 1.669013, 1.665412, 1.660512, 
    1.655163, 1.649263, 1.643713, 1.638512, 1.633312,
  1.596513, 1.582862, 1.550512, 1.509962, 1.46901, 1.427709, 1.386158, 
    1.348358, 1.321509, 1.309359, 1.323609, 1.365511, 1.422264, 1.481818, 
    1.536321, 1.571173, 1.585773, 1.588822, 1.579071, 1.560319, 1.536018, 
    1.512767, 1.496018, 1.495069, 1.509519, 1.533069, 1.563722, 1.597924, 
    1.631775, 1.664225, 1.690622, 1.708719, 1.717267, 1.719517, 1.715267, 
    1.705868, 1.692019, 1.673971, 1.651623, 1.630673, 1.615024, 1.606024, 
    1.605874, 1.611973, 1.620021, 1.628419, 1.637468, 1.645666, 1.653265, 
    1.663315, 1.688425, 1.752939, 1.826551, 1.89106, 1.940115, 1.965867, 
    1.974316, 1.970864, 1.95641, 1.919994, 1.859028, 1.802964, 1.758955, 
    1.737949, 1.738494, 1.751991, 1.777541, 1.810341, 1.837742, 1.852193, 
    1.851492, 1.854188, 1.390458, 0.927083, 0.09284344, 0, 0, 0, 1.751694, 
    1.942297, 1.928252, 1.905807, 1.874557, 1.836556, 1.799006, 1.756907, 
    1.716356, 1.697556, 1.698755, 1.704855, 1.708354, 1.705554, 1.687005, 
    1.658654, 1.61865, 1.563747, 1.494994, 1.418543, 1.347792, 1.291392, 
    1.248743, 1.211343, 1.178993, 1.155144, 1.140244, 1.131293, 1.125943, 
    1.121093, 1.117492, 1.113542, 1.109341, 1.103191, 1.089491, 1.060391, 
    1.022292, 0.9888434, 0.9679949, 0.9597458, 0.9683464, 0.9909461, 
    1.018744, 1.062291, 1.139635, 1.252925, 1.39471, 1.56869, 1.775265, 
    1.915189, 1.968626, 2.03921, 1.922152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.07872923, 0.807863, 0.9021579, 
    1.018875, 2.180999, 2.444935, 2.569478, 2.650622, 2.647473, 2.579375, 
    2.519477, 2.470078, 2.424529, 2.365979, 2.296229, 2.217029, 2.131128, 
    2.074629, 2.05873, 2.047032, 2.036934, 2.026587, 2.016489, 2.006392, 
    1.997594, 1.696898, 0.4995027, 0, 0, 0, 1.039746, 2.076692, 2.068293, 
    2.056342, 2.041742, 2.017341, 1.97949, 1.933438, 1.882987, 1.823436, 
    1.752636, 1.708434, 1.632983, 1.509231, 1.239832, 0, 0.2542559, 
    0.1525535, 0, 0, 0, 0, 0, 0.1799924, 0.6004748, 0.5995755, 0.5946779, 
    0.58603, 0.5782296, 0.5700795, 0.5684317, 0.5774328, 0.6049844, 
    0.1862955, 0.2866885, 0.1324664, 0.7042749, 1.021946, 1.11245, 1.208703, 
    1.281504, 1.351502, 1.423253, 1.484655, 1.530007, 1.565909, 1.59491, 
    1.614461, 1.626762, 1.634862, 1.640863, 1.644613, 1.646763, 1.648214, 
    1.648964, 1.649014, 1.649264, 1.649515, 1.649515, 1.649515, 1.649515, 
    1.649515, 1.649515, 1.649515, 1.649515, 1.649515, 1.649515, 1.649515, 
    1.649265, 1.648315, 1.646465, 1.643915, 1.641264, 1.637914, 1.633014, 
    1.627664, 1.622014, 1.616714, 1.611963, 1.606813,
  1.572513, 1.559562, 1.527762, 1.490509, 1.453756, 1.415953, 1.376102, 
    1.338851, 1.311751, 1.299002, 1.311953, 1.349856, 1.398761, 1.449067, 
    1.495122, 1.526024, 1.540524, 1.545573, 1.539571, 1.524718, 1.503516, 
    1.481615, 1.465963, 1.465712, 1.479762, 1.501164, 1.526717, 1.555221, 
    1.585024, 1.616226, 1.645225, 1.667774, 1.679023, 1.681174, 1.676724, 
    1.666574, 1.651274, 1.631424, 1.606724, 1.584525, 1.568775, 1.560024, 
    1.560424, 1.568073, 1.578522, 1.589671, 1.60152, 1.612769, 1.621768, 
    1.632167, 1.647518, 1.689078, 1.741537, 1.791194, 1.831898, 1.854998, 
    1.865047, 1.865645, 1.857942, 1.842537, 1.810273, 1.778011, 1.750704, 
    1.741997, 1.751992, 1.772487, 1.801034, 1.835632, 1.863231, 1.876132, 
    1.783433, 0.934065, 0.4682589, 0, 0, 0, 0, 0, 1.768439, 1.951243, 
    1.927498, 1.897102, 1.864504, 1.826704, 1.787506, 1.743408, 1.702009, 
    1.683859, 1.686258, 1.693557, 1.698557, 1.694408, 1.676507, 1.651603, 
    1.6185, 1.569597, 1.505745, 1.432093, 1.362143, 1.304744, 1.261244, 
    1.223344, 1.190994, 1.167144, 1.152244, 1.143644, 1.138943, 1.134893, 
    1.132243, 1.128892, 1.125342, 1.119842, 1.106741, 1.077541, 1.037342, 
    1.001593, 0.9782443, 0.9681953, 0.9754961, 0.9990454, 1.029744, 1.078642, 
    1.168085, 1.301724, 1.472209, 1.685039, 1.939762, 2.131485, 2.213118, 
    2.322044, 2.218287, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.5126417, 0, 0, 0, 1.042833, 1.617568, 2.613477, 
    2.703473, 2.700522, 2.626325, 2.562977, 2.510479, 2.46318, 2.40513, 
    2.336479, 2.259777, 2.175525, 2.118525, 2.099977, 2.084928, 2.069981, 
    2.054734, 2.039487, 2.02424, 2.010692, 1.404546, 0, 0, 0, 0, 1.046996, 
    2.091542, 2.083292, 2.071642, 2.058241, 2.03504, 1.999989, 1.957486, 
    1.910984, 1.853982, 1.784781, 1.74278, 1.669729, 1.551874, 1.281424, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.1958909, 0.6529701, 0.6501714, 0.6406739, 
    0.6277262, 0.6204761, 0.6139244, 0.609575, 0.6158767, 0.4716621, 
    0.09550378, 0.346173, 0.5568824, 0.9352421, 1.030145, 1.114048, 1.205401, 
    1.277001, 1.347552, 1.417203, 1.474755, 1.516757, 1.549309, 1.575411, 
    1.592512, 1.603263, 1.610163, 1.615364, 1.618614, 1.620514, 1.621365, 
    1.621964, 1.622014, 1.621764, 1.621515, 1.621515, 1.621515, 1.621515, 
    1.621515, 1.621515, 1.621515, 1.621515, 1.621165, 1.621015, 1.621015, 
    1.620765, 1.619815, 1.618464, 1.616414, 1.613764, 1.610764, 1.606464, 
    1.601463, 1.596513, 1.591563, 1.587013, 1.582462,
  1.551511, 1.538911, 1.510408, 1.478854, 1.447251, 1.413899, 1.377046, 
    1.341346, 1.313996, 1.300297, 1.310648, 1.341304, 1.379761, 1.418918, 
    1.454874, 1.480077, 1.493778, 1.501177, 1.499624, 1.490071, 1.474017, 
    1.456214, 1.444911, 1.447858, 1.462008, 1.480709, 1.500563, 1.521417, 
    1.544522, 1.571125, 1.599276, 1.622428, 1.633778, 1.635328, 1.630728, 
    1.620878, 1.606277, 1.586427, 1.561177, 1.538027, 1.522527, 1.514377, 
    1.516376, 1.525375, 1.537524, 1.550722, 1.564971, 1.57852, 1.589768, 
    1.600668, 1.615768, 1.643024, 1.68128, 1.721284, 1.756737, 1.779786, 
    1.791535, 1.795583, 1.792481, 1.785827, 1.773768, 1.75856, 1.743804, 
    1.747547, 1.767241, 1.795686, 1.830383, 1.86903, 1.898229, 1.235919, 
    0.8544978, 0, 0, 0, 0, 0, 0, 0, 1.785442, 1.963293, 1.931247, 1.892902, 
    1.855357, 1.812462, 1.769265, 1.721867, 1.680216, 1.664314, 1.667763, 
    1.675763, 1.681563, 1.67866, 1.664757, 1.645953, 1.618351, 1.573149, 
    1.512997, 1.441996, 1.372645, 1.314945, 1.270745, 1.233195, 1.201045, 
    1.177794, 1.163244, 1.154994, 1.150544, 1.147393, 1.144993, 1.142243, 
    1.139392, 1.134991, 1.122491, 1.092842, 1.051791, 1.014792, 0.9899924, 
    0.9777938, 0.9835948, 1.007195, 1.039495, 1.092793, 1.193486, 1.346076, 
    1.54396, 1.79294, 2.092266, 2.322201, 2.436881, 2.586209, 2.493353, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2487089, 
    0.5341248, 0.5687857, 0, 0, 0, 0, 0.3871521, 1.31904, 1.365795, 2.597551, 
    2.656741, 2.591991, 2.538789, 2.491338, 2.435386, 2.369984, 2.29793, 
    2.218876, 2.163924, 2.142725, 2.123978, 2.10358, 2.083534, 2.063236, 
    2.042589, 2.025191, 1.412945, 0, 0, 0, 0, 1.053746, 2.104693, 2.096843, 
    2.086292, 2.073741, 2.05244, 2.020039, 1.980887, 1.938485, 1.885583, 
    1.820379, 1.77813, 1.707729, 1.596725, 1.324877, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2137389, 0.7112141, 0.7061154, 0.6931167, 0.6759691, 0.6677204, 
    0.6643685, 0.6586196, 0.6616715, 0.3339866, 0, 0.706784, 0.8614357, 
    0.9522386, 1.041991, 1.120045, 1.207347, 1.278247, 1.346349, 1.412252, 
    1.465855, 1.504257, 1.533908, 1.55656, 1.571562, 1.580763, 1.586813, 
    1.591363, 1.593964, 1.595514, 1.596364, 1.596964, 1.597014, 1.596764, 
    1.596164, 1.596014, 1.596014, 1.596014, 1.596014, 1.595565, 1.595515, 
    1.595515, 1.595164, 1.595014, 1.595014, 1.595014, 1.594314, 1.593014, 
    1.591414, 1.588764, 1.586113, 1.582463, 1.578113, 1.573763, 1.569412, 
    1.565062, 1.561112,
  1.53401, 1.523857, 1.501803, 1.476199, 1.449995, 1.421342, 1.38794, 
    1.353839, 1.326239, 1.310541, 1.314846, 1.334654, 1.360762, 1.38792, 
    1.412228, 1.430832, 1.443033, 1.452432, 1.455679, 1.452375, 1.44377, 
    1.433064, 1.428309, 1.435807, 1.450756, 1.466758, 1.480911, 1.493966, 
    1.509521, 1.530324, 1.555277, 1.576128, 1.586529, 1.587829, 1.583279, 
    1.574029, 1.560279, 1.541278, 1.516127, 1.492378, 1.476278, 1.468928, 
    1.472477, 1.483675, 1.497275, 1.512274, 1.525427, 1.536581, 1.546534, 
    1.555787, 1.570837, 1.592637, 1.622042, 1.655995, 1.688896, 1.71714, 
    1.734783, 1.745777, 1.750669, 1.749916, 1.748513, 1.745006, 1.742348, 
    1.75859, 1.787484, 1.17669, 0.9238044, 0.9441798, 0.9591986, 0.2891113, 
    0, 0, 0, 0, 0.1033705, 1.032956, 1.028462, 1.02187, 1.908454, 1.979337, 
    1.938244, 1.890151, 1.841959, 1.789666, 1.74027, 1.690171, 1.651719, 
    1.639766, 1.644515, 1.653464, 1.660613, 1.660512, 1.652009, 1.637907, 
    1.613805, 1.571253, 1.514252, 1.447448, 1.379646, 1.322446, 1.278745, 
    1.242394, 1.211043, 1.188443, 1.174742, 1.166992, 1.162592, 1.160042, 
    1.158241, 1.156091, 1.15394, 1.15064, 1.13824, 1.10834, 1.067689, 
    1.03014, 1.00424, 0.9898915, 0.9935432, 1.014746, 1.046247, 1.102246, 
    1.210993, 1.379384, 1.599972, 1.880056, 2.218083, 2.472667, 2.619649, 
    2.801631, 2.889911, 1.188511, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 1.368578, 2.655212, 2.593009, 2.543755, 2.499952, 2.448748, 2.389243, 
    2.324837, 2.255679, 2.206774, 2.183975, 2.161527, 2.13568, 2.110684, 
    2.085237, 2.060139, 1.93717, 0.7096368, 0, 0, 0, 0, 0.5291613, 1.05657, 
    2.003025, 2.099942, 2.088491, 2.069689, 2.039587, 2.003136, 1.964483, 
    1.91638, 1.856577, 1.544514, 0.8640798, 0.8100122, 0.6731912, 0, 0, 0, 0, 
    0, 0, 0, 0.03950052, 0.5068946, 0.766719, 0.7616177, 0.7485163, 
    0.7294161, 0.7194669, 0.7193149, 0.7139134, 0.7136156, 0.3587334, 0, 
    0.7368296, 0.8882817, 0.9732359, 1.05784, 1.129644, 1.212996, 1.282747, 
    1.34725, 1.408802, 1.458604, 1.493756, 1.520508, 1.540559, 1.55326, 
    1.561261, 1.566462, 1.570362, 1.572312, 1.573512, 1.574363, 1.574913, 
    1.574513, 1.574513, 1.574163, 1.573563, 1.573513, 1.573513, 1.573164, 
    1.572563, 1.572513, 1.572513, 1.572513, 1.572513, 1.572513, 1.572263, 
    1.571663, 1.570513, 1.568913, 1.566513, 1.564113, 1.560963, 1.557112, 
    1.553262, 1.549412, 1.546011, 1.542611,
  1.520507, 1.514555, 1.49975, 1.480696, 1.460242, 1.436289, 1.406336, 
    1.373835, 1.345486, 1.326589, 1.321695, 1.328704, 1.341263, 1.355572, 
    1.368029, 1.379584, 1.390285, 1.400984, 1.408732, 1.411827, 1.411772, 
    1.410315, 1.414059, 1.426256, 1.441506, 1.454658, 1.463361, 1.469516, 
    1.47777, 1.492674, 1.512928, 1.531329, 1.541029, 1.542329, 1.538329, 
    1.530328, 1.517776, 1.499626, 1.474576, 1.450077, 1.432778, 1.424929, 
    1.428529, 1.440331, 1.453782, 1.466535, 1.47394, 1.478744, 1.483298, 
    1.487851, 1.500255, 1.523353, 1.550551, 1.582999, 1.619893, 1.658686, 
    1.686529, 1.708421, 1.725912, 1.733804, 1.737002, 1.74055, 1.749843, 
    1.506747, 0.9012006, 0.2726132, 0, 0, 0, 0, 0, 0, 0, 0, 1.058912, 
    2.094216, 2.083967, 2.06882, 2.042427, 1.999836, 1.944997, 1.881411, 
    1.816774, 1.756527, 1.702279, 1.652927, 1.622419, 1.61971, 1.626508, 
    1.637506, 1.647454, 1.649402, 1.644251, 1.6328, 1.60965, 1.565204, 
    1.508007, 1.446603, 1.3826, 1.327897, 1.285995, 1.251794, 1.222043, 
    1.200741, 1.187991, 1.180491, 1.17659, 1.174689, 1.173489, 1.171939, 
    1.170439, 1.167638, 1.154739, 1.125039, 1.084639, 1.04619, 1.018242, 
    1.001144, 1.000997, 1.017701, 1.046003, 1.102304, 1.214503, 1.393348, 
    1.630239, 1.933626, 2.303308, 2.586536, 2.756176, 2.962212, 3.240294, 
    2.443265, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2622096, 0.899793, 0.981226, 0.1005085, 0, 0, 0, 0, 0, 0, 0, 0.1332776, 
    1.324665, 1.925632, 2.523122, 2.486916, 2.44291, 2.391254, 2.337846, 
    2.282986, 2.243928, 2.220977, 2.195929, 2.165231, 2.135634, 2.106236, 
    2.077888, 1.848291, 0, 0, 0, 0, 0, 0, 0, 1.058578, 2.112242, 2.101992, 
    2.084742, 2.05704, 2.023039, 1.988236, 1.944334, 1.889431, 1.303386, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4074614, 0.8074285, 0.8089767, 0.8073735, 
    0.7974706, 0.7801185, 0.769968, 0.7724166, 0.7682166, 0.7663165, 
    0.384733, 0, 0.7698777, 0.917131, 0.9952356, 1.072991, 1.138046, 
    1.218896, 1.286498, 1.348149, 1.406251, 1.452504, 1.485255, 1.509606, 
    1.527558, 1.538309, 1.54476, 1.549111, 1.552811, 1.554311, 1.555261, 
    1.555861, 1.556361, 1.555511, 1.555511, 1.555162, 1.554561, 1.554361, 
    1.554012, 1.553312, 1.553012, 1.553012, 1.552762, 1.552513, 1.552513, 
    1.552513, 1.552262, 1.551662, 1.550513, 1.549062, 1.547012, 1.544962, 
    1.542411, 1.538761, 1.535511, 1.53226, 1.52951, 1.52691,
  1.512004, 1.509552, 1.501747, 1.489692, 1.474489, 1.455085, 1.429582, 
    1.398331, 1.368732, 1.345086, 1.330493, 1.324552, 1.32426, 1.325719, 
    1.327676, 1.332331, 1.341282, 1.353032, 1.364429, 1.373974, 1.38152, 
    1.389064, 1.40081, 1.417057, 1.432007, 1.44171, 1.445313, 1.445517, 
    1.44802, 1.458223, 1.475074, 1.492324, 1.502523, 1.505022, 1.502321, 
    1.49577, 1.485018, 1.467268, 1.44097, 1.413973, 1.394275, 1.384027, 
    1.385979, 1.39603, 1.406533, 1.413188, 1.413493, 1.411748, 1.410303, 
    1.409557, 1.41666, 1.439613, 1.469811, 1.508054, 1.555895, 1.606386, 
    1.644779, 1.67792, 1.709959, 1.732348, 1.741741, 1.747291, 0.9665699, 
    0.6238832, 0, 0, 0, 0.3019713, 1.008069, 1.009916, 0.1010066, 0, 0, 0, 
    1.066702, 2.14811, 2.135961, 2.115416, 2.078923, 2.025328, 1.955488, 
    1.87305, 1.789863, 1.718724, 1.660029, 1.616024, 0.8846771, 0.807393, 
    0.8113987, 1.406771, 1.670313, 1.674162, 1.669963, 1.658763, 1.63072, 
    1.575032, 1.508492, 1.442652, 1.381601, 1.331798, 1.293245, 1.261343, 
    1.233991, 1.21454, 1.202739, 1.195838, 1.192987, 1.191188, 1.190238, 
    1.189287, 1.188387, 1.185487, 1.171987, 1.142038, 1.100639, 1.060591, 
    1.029493, 1.008196, 1.002501, 1.013355, 1.037009, 1.090413, 1.203263, 
    1.38761, 1.635504, 1.954795, 2.346783, 2.654272, 2.835966, 3.057209, 
    3.353851, 2.532913, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.04014301, 0.5291108, 0.835795, 0.5831841, 0.0471167, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.6326457, 1.255127, 2.332653, 2.42147, 2.38101, 2.341249, 
    2.301839, 2.273731, 2.251481, 2.225381, 2.191782, 2.159832, 2.128484, 
    2.096786, 1.861691, 0, 0, 0, 0, 0, 0, 0, 0.1061503, 1.378749, 2.114241, 
    2.09794, 2.072539, 2.041436, 2.010483, 1.97078, 1.920676, 1.326482, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.2960297, 0.7534761, 0.4123838, 0.6302786, 
    0.8467724, 0.8391221, 0.8250698, 0.8157191, 0.8182705, 0.8132218, 
    0.8101735, 0.6174378, 0.1265703, 0.7994817, 0.9431832, 1.01324, 1.082946, 
    1.143147, 1.2216, 1.288499, 1.34875, 1.403752, 1.447054, 1.478255, 
    1.501055, 1.517106, 1.526357, 1.531508, 1.535258, 1.538359, 1.539809, 
    1.540509, 1.54086, 1.54096, 1.540359, 1.54001, 1.539659, 1.53901, 
    1.53836, 1.53776, 1.53716, 1.53696, 1.536511, 1.53626, 1.53566, 1.535511, 
    1.535511, 1.535261, 1.534661, 1.533511, 1.532211, 1.530511, 1.528811, 
    1.526461, 1.52341, 1.52076, 1.518109, 1.515959, 1.513858,
  1.504007, 1.505055, 1.503351, 1.497896, 1.487742, 1.473388, 1.451986, 
    1.423132, 1.392983, 1.364236, 1.340393, 1.3235, 1.312257, 1.302764, 
    1.29582, 1.294574, 1.301276, 1.313576, 1.328523, 1.34332, 1.356267, 
    1.369914, 1.387061, 1.405061, 1.419012, 1.425264, 1.424267, 1.419321, 
    1.418023, 1.426873, 1.444121, 1.462919, 1.475765, 1.481263, 1.48126, 
    1.476558, 1.466758, 1.448559, 1.418912, 1.387416, 1.36352, 1.349074, 
    1.347128, 1.35493, 1.361033, 1.360838, 1.354043, 1.345598, 1.338053, 
    1.331557, 1.333361, 1.353812, 1.386062, 1.434054, 1.493846, 1.555438, 
    1.60453, 1.64977, 1.697509, 1.735398, 1.312405, 0.8782175, 0.08788184, 0, 
    0, 0, 0.1013974, 1.318476, 2.029484, 2.028242, 1.117922, 1.03025, 
    0.5224639, 0, 1.099923, 2.194073, 2.180974, 2.155276, 2.112029, 2.051583, 
    1.969741, 1.870753, 1.770465, 1.684975, 1.622026, 1.588816, 0.1584012, 0, 
    0.4335976, 1.463773, 1.730549, 1.734, 1.728951, 1.713756, 1.674266, 
    1.60128, 1.519991, 1.439752, 1.379552, 1.334998, 1.300744, 1.271742, 
    1.247389, 1.229838, 1.219237, 1.213536, 1.211436, 1.209685, 1.208735, 
    1.208135, 1.207785, 1.204185, 1.189737, 1.158488, 1.11514, 1.072842, 
    1.037995, 1.011549, 0.9989546, 1.002361, 1.020515, 1.069818, 1.181969, 
    1.369317, 1.622265, 1.949413, 2.353408, 2.673701, 2.863495, 3.091443, 
    3.392494, 2.55955, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4019662, 0.8044993, 0.8044993, 0.2413498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.214917, 2.390326, 2.369257, 2.343647, 2.318437, 2.298183, 
    2.277232, 2.251032, 2.216332, 2.183533, 2.150235, 2.114837, 1.873392, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.3192289, 1.593044, 2.11149, 2.089037, 2.061635, 
    2.03598, 2.002274, 1.958868, 1.355176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6086263, 0.7913184, 0, 0.2170756, 0.7532201, 0.8823646, 0.8706636, 
    0.8622128, 0.8625148, 0.8533197, 0.8467731, 0.8537263, 0.5697242, 
    0.8660693, 0.9614403, 1.021998, 1.082206, 1.139059, 1.216058, 1.283758, 
    1.343059, 1.396309, 1.438409, 1.469259, 1.492407, 1.508556, 1.517206, 
    1.521756, 1.524907, 1.526958, 1.528308, 1.529008, 1.529008, 1.529008, 
    1.528708, 1.528008, 1.527658, 1.526558, 1.525858, 1.525008, 1.524508, 
    1.524009, 1.523359, 1.523009, 1.522658, 1.522059, 1.521859, 1.52101, 
    1.52016, 1.51901, 1.517561, 1.515761, 1.513961, 1.511511, 1.508911, 
    1.506511, 1.504461, 1.502511, 1.50131,
  1.493009, 1.496508, 1.499855, 1.499601, 1.494248, 1.484345, 1.466542, 
    1.44094, 1.411239, 1.379441, 1.348395, 1.3234, 1.303756, 1.28691, 
    1.273564, 1.268965, 1.273766, 1.286266, 1.303665, 1.322562, 1.33851, 
    1.355159, 1.37391, 1.390961, 1.402264, 1.405167, 1.40027, 1.391721, 
    1.389271, 1.39942, 1.420066, 1.442613, 1.460258, 1.470204, 1.47455, 
    1.471699, 1.46175, 1.441302, 1.406857, 1.369711, 1.340516, 1.320071, 
    1.312276, 1.31618, 1.318033, 1.311488, 1.298043, 1.283098, 1.270052, 
    1.258056, 1.25471, 1.273112, 1.305563, 1.361458, 1.430902, 1.502843, 
    1.562036, 1.619826, 1.683812, 1.475117, 0.4384452, 0, 0, 0, 0, 0, 
    0.2043979, 2.045632, 2.045741, 2.036047, 2.036899, 2.064099, 1.04675, 0, 
    1.105349, 2.222583, 2.211479, 2.182881, 2.135884, 2.06929, 1.977996, 
    1.865355, 1.666599, 0.8355249, 1.193154, 1.57181, 0.8837949, 0.8464037, 
    1.320781, 1.786439, 1.803838, 1.80539, 1.796944, 1.773801, 1.72146, 
    1.631872, 1.535485, 1.440496, 1.3783, 1.338697, 1.308993, 1.28384, 
    1.262387, 1.247135, 1.237735, 1.232884, 1.231034, 1.230183, 1.229233, 
    1.228633, 1.228283, 1.223934, 1.207236, 1.174088, 1.129039, 1.083941, 
    1.044994, 1.013049, 0.9929048, 0.9882109, 1.000516, 1.046069, 1.15707, 
    1.344971, 1.598022, 1.924925, 2.329529, 2.656427, 2.849029, 3.076632, 
    3.192525, 1.281983, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7280943, 0.8089936, 0.6060665, 0.1209418, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.2353531, 2.357724, 2.3645, 2.353088, 2.336136, 2.319784, 
    2.300982, 2.274832, 2.238833, 2.204734, 2.169486, 2.131088, 1.884541, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.5328449, 1.060782, 1.999306, 2.082433, 
    2.064227, 2.039019, 1.094159, 0.6867389, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3126958, 0.8322185, 0.3330203, 0, 0.6551756, 0.9284642, 0.9179634, 
    0.9097139, 0.9077653, 0.8934183, 0.8823719, 0.885225, 0.8996297, 
    0.9283864, 0.9715441, 1.021503, 1.071461, 1.123615, 1.198419, 1.265271, 
    1.323372, 1.376821, 1.41987, 1.452767, 1.479014, 1.498909, 1.509506, 
    1.514255, 1.516906, 1.518506, 1.519806, 1.520506, 1.520506, 1.520506, 
    1.520205, 1.519506, 1.518806, 1.517556, 1.516856, 1.516006, 1.515156, 
    1.514506, 1.513706, 1.513006, 1.512657, 1.511557, 1.510708, 1.509508, 
    1.507959, 1.50601, 1.50391, 1.501761, 1.499262, 1.496512, 1.493912, 
    1.491262, 1.489313, 1.487162, 1.487262,
  1.479513, 1.484411, 1.49086, 1.494008, 1.492255, 1.485603, 1.4714, 
    1.447749, 1.418998, 1.386049, 1.350452, 1.320853, 1.297005, 1.276307, 
    1.260657, 1.255307, 1.259756, 1.272606, 1.291704, 1.312854, 1.329754, 
    1.346305, 1.362859, 1.376413, 1.383766, 1.383419, 1.375321, 1.364872, 
    1.36377, 1.377017, 1.402562, 1.430307, 1.453003, 1.468349, 1.477345, 
    1.476343, 1.465494, 1.440998, 1.400853, 1.357708, 1.322513, 1.296068, 
    1.282273, 1.280628, 1.278281, 1.266835, 1.247539, 1.226744, 1.208298, 
    1.191253, 1.184155, 1.198409, 1.229312, 1.288561, 1.364607, 1.446099, 
    1.514542, 1.584033, 1.664519, 1.468171, 0.4367672, 0, 0, 0, 0, 0, 
    1.033062, 2.063439, 2.053996, 2.038599, 2.0374, 2.063152, 1.578359, 
    0.3195639, 0.111837, 1.455006, 2.23049, 2.199142, 2.147747, 2.074502, 
    1.975508, 1.219927, 0.8686813, 0.801106, 1.167101, 1.562455, 1.619488, 
    1.714518, 1.802204, 1.856647, 1.875595, 1.873699, 1.859455, 1.828061, 
    1.764869, 1.662129, 1.551239, 1.444547, 1.379697, 1.344244, 1.318991, 
    1.297937, 1.279385, 1.266583, 1.258482, 1.254231, 1.252581, 1.252181, 
    1.251481, 1.25113, 1.250331, 1.245331, 1.226732, 1.192033, 1.144536, 
    1.096538, 1.053991, 1.017045, 0.9894009, 0.9767576, 0.9822638, 1.023118, 
    1.132071, 1.318073, 1.566529, 1.886039, 2.2811, 2.607604, 2.792814, 
    3.010927, 2.937834, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.7352939, 0.6940495, 0.2035904, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.1168955, 1.528366, 2.370989, 2.368687, 2.354534, 2.339734, 2.322483, 
    2.296134, 2.258485, 1.89254, 1.091074, 1.071241, 0.9468332, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.057565, 2.103682, 2.095223, 2.08256, 0.2078957, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4267636, 0.3341087, 0, 0.3358616, 
    0.9212499, 0.9619648, 0.9537144, 0.951064, 0.9338158, 0.9184692, 
    0.9172228, 0.926127, 0.9472327, 0.9803414, 1.018502, 1.058061, 1.103817, 
    1.170876, 1.233781, 1.290382, 1.344032, 1.38963, 1.426027, 1.457172, 
    1.483317, 1.499061, 1.507007, 1.511104, 1.513003, 1.514303, 1.515003, 
    1.515003, 1.515003, 1.514704, 1.514003, 1.513303, 1.512003, 1.511003, 
    1.510503, 1.509303, 1.508504, 1.507703, 1.506754, 1.505455, 1.504005, 
    1.502555, 1.500507, 1.498108, 1.494959, 1.49126, 1.488012, 1.484413, 
    1.481013, 1.477764, 1.474765, 1.472465, 1.470664, 1.471414,
  1.463016, 1.468616, 1.476864, 1.481963, 1.482262, 1.47801, 1.466309, 
    1.444058, 1.415758, 1.382208, 1.344509, 1.31306, 1.288011, 1.266809, 
    1.252108, 1.247607, 1.253504, 1.267453, 1.288451, 1.309352, 1.325503, 
    1.339556, 1.35181, 1.360065, 1.36252, 1.358674, 1.347826, 1.335528, 
    1.336776, 1.355171, 1.386615, 1.420659, 1.448504, 1.469, 1.483195, 
    1.484992, 1.473742, 1.444995, 1.39885, 1.349705, 1.30876, 1.276915, 
    1.256821, 1.249575, 1.243528, 1.22873, 1.204534, 1.178689, 1.156291, 
    1.135992, 1.125895, 1.134999, 1.163302, 1.223101, 1.302949, 1.392842, 
    1.471033, 1.549576, 1.64192, 1.456823, 0.4382713, 0, 0, 0, 0, 0, 1.8629, 
    2.066157, 2.05076, 2.03326, 2.033157, 2.058007, 2.108755, 1.401456, 
    1.109141, 1.461809, 2.24199, 2.205996, 1.186401, 1.038377, 0.9869869, 
    0.9134036, 0.9211597, 1.590775, 1.547014, 1.558901, 1.635085, 1.75037, 
    1.851961, 1.911909, 1.93086, 1.924713, 1.903969, 1.865725, 1.793832, 
    1.681089, 1.560495, 1.448646, 1.385293, 1.353639, 1.331987, 1.314534, 
    1.299281, 1.288679, 1.282228, 1.278577, 1.277077, 1.276677, 1.275977, 
    1.275977, 1.274877, 1.269527, 1.249728, 1.21383, 1.16448, 1.113782, 
    1.068484, 1.027387, 0.992843, 0.9722998, 0.9705062, 1.005462, 1.110366, 
    1.289975, 1.528287, 1.833103, 2.207377, 2.516454, 2.68662, 2.881997, 
    2.958825, 1.122917, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2868434, 0.7798777, 0.5747, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.3564273, 1.789788, 2.384486, 2.370988, 2.357037, 2.340735, 2.314285, 
    2.275586, 1.574641, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1059364, 
    1.059064, 1.057611, 1.055107, 0.1054356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4464857, 0.4923665, 0.7394161, 0.9885718, 0.97127, 
    0.9547186, 0.7088966, 0.8100293, 0.9694291, 0.9921383, 1.018498, 
    1.048006, 1.085065, 1.141275, 1.196533, 1.249339, 1.302739, 1.350887, 
    1.391283, 1.428527, 1.461371, 1.484064, 1.49751, 1.505705, 1.509852, 
    1.511302, 1.512251, 1.512501, 1.512501, 1.512351, 1.51175, 1.51115, 1.51, 
    1.50885, 1.508001, 1.506801, 1.505551, 1.504702, 1.503502, 1.501602, 
    1.499503, 1.497254, 1.493755, 1.489907, 1.485408, 1.479809, 1.474512, 
    1.469563, 1.464615, 1.460465, 1.456766, 1.454117, 1.452217, 1.453417,
  1.442521, 1.448471, 1.458269, 1.464119, 1.465269, 1.462219, 1.451369, 
    1.430218, 1.402018, 1.368218, 1.330018, 1.298067, 1.273516, 1.254563, 
    1.24216, 1.240506, 1.249253, 1.265351, 1.2878, 1.307751, 1.321254, 
    1.331259, 1.337815, 1.340221, 1.337525, 1.329229, 1.315382, 1.301833, 
    1.30603, 1.330524, 1.368618, 1.409162, 1.443005, 1.4688, 1.488595, 
    1.494441, 1.484489, 1.453539, 1.401794, 1.3465, 1.300505, 1.26326, 
    1.237314, 1.224669, 1.215023, 1.197676, 1.170028, 1.14043, 1.115283, 
    1.092936, 1.07884, 1.082945, 1.107549, 1.165403, 1.245804, 1.136781, 
    1.08618, 1.51314, 1.529338, 0.5950501, 0, 0, 0, 0, 0, 0, 1.861851, 
    2.058607, 2.041257, 2.025654, 2.027553, 2.053152, 2.104752, 2.165101, 
    2.223248, 2.255694, 2.251243, 2.2083, 1.177423, 1.021654, 0.9644604, 
    1.523048, 1.66688, 1.565121, 1.53351, 1.559996, 1.653332, 1.782422, 
    1.891467, 1.952917, 1.970319, 1.960871, 1.934726, 1.89073, 1.812285, 
    1.692889, 1.568491, 1.456689, 1.396786, 1.368883, 1.349981, 1.335278, 
    1.323176, 1.314474, 1.309224, 1.306422, 1.305022, 1.304323, 1.303723, 
    1.303473, 1.302323, 1.296374, 1.275725, 1.238975, 1.189375, 1.137475, 
    1.090226, 1.045779, 1.005284, 0.9776403, 0.9689963, 0.9974524, 1.095061, 
    1.263023, 1.484792, 1.766418, 2.108153, 2.381391, 2.533159, 2.698236, 
    2.903485, 2.146741, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5747, 0.780026, 0.2878822, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3584349, 1.799637, 2.395045, 2.379747, 2.367495, 2.352993, 2.327641, 
    2.17585, 0.7914131, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2519658, 
    0.5032303, 0.545871, 0.9946591, 0.4952283, 0.3404795, 0.9490598, 
    1.011776, 1.026737, 1.046945, 1.074554, 1.11612, 1.160532, 1.206339, 
    1.257892, 1.307791, 1.352787, 1.396381, 1.436424, 1.466717, 1.486011, 
    1.499007, 1.507153, 1.509951, 1.5115, 1.512349, 1.512948, 1.512998, 
    1.512748, 1.512497, 1.511497, 1.510197, 1.508997, 1.507797, 1.506497, 
    1.505047, 1.503249, 1.501099, 1.49795, 1.493952, 1.489253, 1.483505, 
    1.476907, 1.46906, 1.461263, 1.454514, 1.447616, 1.441818, 1.437269, 
    1.43377, 1.43127, 1.432421,
  1.417027, 1.423327, 1.433278, 1.439128, 1.440279, 1.43688, 1.42588, 
    1.404581, 1.376032, 1.342232, 1.304132, 1.27338, 1.251027, 1.235673, 
    1.227668, 1.230563, 1.243258, 1.262255, 1.285704, 1.304356, 1.314259, 
    1.319264, 1.31927, 1.315027, 1.307283, 1.294636, 1.27759, 1.26379, 
    1.270787, 1.301232, 1.346624, 1.394167, 1.434261, 1.466305, 1.492098, 
    1.503492, 1.496239, 1.465538, 1.41019, 1.349294, 1.298499, 1.256802, 
    1.226207, 1.207962, 1.194266, 1.174967, 1.145568, 1.114618, 1.088019, 
    1.062472, 1.043327, 1.041933, 1.061039, 1.113745, 1.12922, 0.6483969, 
    1.030143, 1.462656, 0.7878451, 0, 0, 0, 0, 0, 0, 0, 1.859304, 2.052804, 
    2.035504, 2.022403, 2.026948, 2.053797, 2.106494, 2.168992, 2.228442, 
    2.262743, 2.253503, 2.201912, 2.12872, 2.034175, 1.917529, 1.778132, 
    1.632985, 1.540625, 1.521762, 1.562748, 1.669039, 1.805535, 1.915737, 
    1.976239, 1.99239, 1.982238, 1.955485, 1.909834, 1.827785, 1.705087, 
    1.580237, 1.470784, 1.41433, 1.389977, 1.373724, 1.361322, 1.351171, 
    1.344269, 1.340217, 1.337918, 1.336518, 1.335817, 1.335217, 1.334618, 
    1.333218, 1.326219, 1.30497, 1.26797, 1.218819, 1.166819, 1.117971, 
    1.070873, 1.025727, 0.9921321, 0.9772379, 0.9994437, 1.087752, 1.240719, 
    1.440043, 1.690476, 1.991918, 2.223509, 2.356427, 2.492504, 2.648998, 
    2.339124, 0.6694469, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2048513, 0.6976107, 0.411138, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.505017, 0.4583079, 0, 0, 0.9703612, 1.511656, 2.395761, 2.39281, 
    2.377807, 2.367905, 2.357, 2.334197, 1.152082, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.05099888, 0.6724203, 0.5257136, 0, 0.9458433, 
    1.051249, 1.054211, 1.063123, 1.080535, 1.102406, 1.131773, 1.167085, 
    1.213242, 1.263543, 1.31254, 1.361884, 1.409427, 1.44737, 1.472764, 
    1.490809, 1.503504, 1.508752, 1.5115, 1.513548, 1.515397, 1.516146, 
    1.516745, 1.516645, 1.515944, 1.514694, 1.513494, 1.512294, 1.510944, 
    1.509045, 1.506745, 1.503746, 1.499397, 1.493499, 1.487001, 1.479103, 
    1.469457, 1.458809, 1.448262, 1.438766, 1.429119, 1.421021, 1.415273, 
    1.410225, 1.406776, 1.407426,
  1.387033, 1.392983, 1.401335, 1.405988, 1.40579, 1.400692, 1.387896, 
    1.364648, 1.335299, 1.301749, 1.264697, 1.236145, 1.21729, 1.206834, 
    1.205177, 1.21442, 1.232264, 1.25466, 1.279059, 1.29626, 1.303013, 
    1.302769, 1.296226, 1.285032, 1.271539, 1.254893, 1.235295, 1.221594, 
    1.230792, 1.265539, 1.317683, 1.372826, 1.419518, 1.458511, 1.491603, 
    1.509247, 1.504495, 1.475592, 1.420041, 1.356242, 1.301245, 1.256049, 
    1.221253, 1.198906, 1.182757, 1.163106, 1.133505, 1.101807, 1.07376, 
    1.045362, 1.020718, 1.011977, 1.023286, 1.068196, 1.017, 0.3817711, 
    1.309069, 0.914658, 0.07299823, 0, 0, 0, 0, 0, 0, 0, 1.032732, 2.04601, 
    2.028011, 2.015611, 2.022361, 2.051209, 2.107754, 2.174098, 2.236442, 
    2.269743, 2.247759, 2.183425, 2.100886, 1.713328, 1.401771, 1.739145, 
    1.594891, 1.513778, 1.508764, 1.5636, 1.67964, 1.819388, 1.928238, 
    1.987039, 2.00224, 1.995136, 1.971732, 1.926982, 1.843334, 1.719733, 
    1.596231, 1.489878, 1.436875, 1.416071, 1.402219, 1.391867, 1.383165, 
    1.377714, 1.374963, 1.372913, 1.371962, 1.371162, 1.370213, 1.369263, 
    1.367214, 1.359415, 1.337216, 1.299966, 1.251666, 1.199167, 1.149466, 
    1.100468, 1.052021, 1.012926, 0.9929807, 1.009087, 1.088246, 1.224463, 
    1.399288, 1.615423, 1.873318, 2.062561, 2.178676, 2.289549, 2.405985, 
    2.498481, 1.266403, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4105, 
    0.821, 0.0821, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.009405, 1.122534, 
    0.3704946, 0, 1.919551, 2.288041, 1.783486, 1.196329, 1.189515, 1.185156, 
    1.180898, 1.170326, 0.1166869, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.1636824, 0.5804268, 0.6124513, 1.091712, 1.13159, 1.119907, 
    1.113824, 1.109208, 1.104989, 1.114262, 1.134729, 1.172638, 1.221341, 
    1.27254, 1.326885, 1.380481, 1.424276, 1.454273, 1.477618, 1.494814, 
    1.502212, 1.50676, 1.510608, 1.514455, 1.517751, 1.520747, 1.521994, 
    1.521495, 1.520694, 1.519494, 1.518294, 1.516495, 1.514544, 1.511995, 
    1.507696, 1.501898, 1.4944, 1.485502, 1.474855, 1.461908, 1.447563, 
    1.433767, 1.42067, 1.408123, 1.397426, 1.389529, 1.383029, 1.377881, 
    1.377933,
  1.35204, 1.356942, 1.362346, 1.3639, 1.361053, 1.352957, 1.336961, 
    1.311213, 1.280814, 1.248313, 1.213809, 1.189353, 1.175297, 1.17104, 
    1.176732, 1.193724, 1.217517, 1.243413, 1.268862, 1.284315, 1.288268, 
    1.283471, 1.270279, 1.252535, 1.233291, 1.212296, 1.190449, 1.177048, 
    1.188296, 1.225793, 1.28224, 1.342987, 1.39653, 1.443071, 1.483464, 
    1.505861, 1.503507, 1.477005, 1.424051, 1.362246, 1.306494, 1.258795, 
    1.221297, 1.197547, 1.182494, 1.16464, 1.136887, 1.105036, 1.073241, 
    1.040747, 1.009955, 0.9912663, 0.9912803, 1.024545, 0.6024312, 0.7429077, 
    0.9277406, 0.1972188, 0, 0, 0, 0, 0, 0, 0, 0, 1.02066, 2.034913, 
    2.015515, 2.003464, 2.010913, 2.04191, 2.103755, 2.175749, 2.243793, 
    2.276493, 2.238261, 2.158727, 1.967147, 0.7035942, 0.8862771, 1.69345, 
    1.556888, 1.489572, 1.498507, 1.566244, 1.690238, 1.832335, 1.94323, 
    2.002678, 2.017029, 2.011929, 1.98973, 1.944432, 1.859982, 1.737679, 
    1.616726, 1.513622, 1.464268, 1.446316, 1.434713, 1.425912, 1.41911, 
    1.414858, 1.412708, 1.411607, 1.410907, 1.409657, 1.408458, 1.406908, 
    1.403261, 1.394113, 1.370964, 1.333464, 1.285614, 1.233163, 1.183213, 
    1.132565, 1.081418, 1.03852, 1.014724, 1.025578, 1.095289, 1.214707, 
    1.364783, 1.547768, 1.764409, 1.92732, 2.030381, 2.121549, 2.209423, 
    2.267248, 1.68819, 0.3278009, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1365089, 0.6549786, 0.5444398, 0.04113736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2275148, 0.4780804, 1.052602, 1.084269, 0.3720401, 0.644725, 1.041369, 
    1.136313, 0.5884997, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.6579117, 1.306382, 1.279998, 1.247069, 1.218387, 
    1.194956, 1.164626, 1.128212, 1.112491, 1.114613, 1.141526, 1.186033, 
    1.237284, 1.293784, 1.35138, 1.398078, 1.429778, 1.45483, 1.47428, 
    1.483827, 1.490524, 1.496173, 1.503069, 1.510814, 1.518258, 1.523952, 
    1.526744, 1.526195, 1.525244, 1.524294, 1.522044, 1.519745, 1.516246, 
    1.510997, 1.503399, 1.493802, 1.482255, 1.468608, 1.451913, 1.433516, 
    1.415771, 1.399075, 1.383579, 1.369832, 1.359534, 1.351337, 1.344887, 
    1.343789,
  1.31055, 1.313353, 1.314359, 1.311365, 1.304819, 1.293373, 1.274525, 
    1.247077, 1.216326, 1.186273, 1.157364, 1.139356, 1.131548, 1.133891, 
    1.146783, 1.171225, 1.200769, 1.230315, 1.255717, 1.26857, 1.269274, 
    1.260878, 1.242282, 1.218688, 1.194044, 1.168699, 1.144152, 1.131002, 
    1.1443, 1.183848, 1.242247, 1.305395, 1.363043, 1.414741, 1.460287, 
    1.485783, 1.48678, 1.462926, 1.41457, 1.358263, 1.308003, 1.263345, 
    1.22734, 1.206084, 1.194979, 1.181074, 1.160461, 1.131506, 1.098952, 
    1.063602, 1.02566, 0.9954237, 0.7357875, 0.5027653, 0.1576189, 0.9224313, 
    0.2901436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.022672, 2.018822, 1.997275, 
    1.985874, 1.996419, 2.030964, 2.09726, 2.173357, 2.245804, 2.27975, 
    2.228261, 2.131283, 1.829897, 0, 0.8612772, 1.648348, 1.524931, 1.472216, 
    1.493503, 1.570796, 1.699193, 1.84394, 1.957489, 2.018189, 2.032039, 
    2.02644, 2.003989, 1.958438, 1.875684, 1.757578, 1.640223, 1.540719, 
    1.494666, 1.478913, 1.469212, 1.461261, 1.455561, 1.452011, 1.450709, 
    1.450459, 1.449509, 1.448508, 1.44671, 1.444211, 1.438263, 1.426965, 
    1.403216, 1.365816, 1.318714, 1.267662, 1.217462, 1.165862, 1.112963, 
    1.068265, 1.041468, 1.04897, 1.110278, 1.213246, 1.340768, 1.494198, 
    1.675484, 1.829842, 1.923849, 2.00176, 2.071227, 2.110042, 2.120898, 
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    0.7004458, 0.1336465, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1364959, 0.6834931, 
    0.9582, 0.5993125, 0.4209338, 0, 0.6475364, 0.0925052, 0, 0, 0, 0, 0, 0, 
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    1.246161, 1.441799, 1.386926, 1.340097, 1.299216, 1.248989, 1.176881, 
    1.132464, 1.112891, 1.124012, 1.160473, 1.209028, 1.26458, 1.322433, 
    1.370232, 1.401284, 1.423588, 1.441592, 1.45314, 1.461539, 1.469585, 
    1.480181, 1.493175, 1.506268, 1.517962, 1.527405, 1.529348, 1.528748, 
    1.527799, 1.525948, 1.523098, 1.518748, 1.5123, 1.502403, 1.490206, 
    1.476009, 1.459362, 1.438467, 1.415972, 1.394027, 1.37383, 1.354635, 
    1.337739, 1.325291, 1.314943, 1.307344, 1.305146,
  1.261562, 1.261565, 1.257421, 1.249676, 1.238831, 1.224484, 1.203187, 
    1.175237, 1.145834, 1.120627, 1.100316, 1.090655, 1.089797, 1.098739, 
    1.118232, 1.148277, 1.181524, 1.213373, 1.237176, 1.24653, 1.243285, 
    1.23129, 1.208794, 1.180997, 1.1523, 1.124302, 1.098252, 1.085302, 
    1.100051, 1.141049, 1.200249, 1.264049, 1.322798, 1.376297, 1.424345, 
    1.453041, 1.457288, 1.437382, 1.394725, 1.346514, 1.305752, 1.270239, 
    1.242326, 1.228714, 1.224703, 1.219638, 1.208579, 1.184872, 1.155668, 
    1.121566, 1.079117, 1.036332, 0.7588829, 0.1521961, 0.448, 0.3648445, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1009837, 1.302393, 1.978019, 1.971358, 
    1.986354, 2.023453, 2.090007, 2.166708, 2.244549, 2.280997, 2.219509, 
    2.102033, 1.00906, 0, 0.841268, 1.616374, 1.510152, 1.466846, 1.493497, 
    1.572301, 1.69796, 1.837975, 1.951276, 2.011727, 2.025626, 2.020774, 
    1.999273, 1.956068, 1.879558, 1.772738, 1.664722, 1.569316, 1.526113, 
    1.512062, 1.502962, 1.495611, 1.489662, 1.48666, 1.485711, 1.485462, 
    1.484961, 1.484012, 1.481462, 1.476466, 1.467321, 1.453674, 1.429474, 
    1.393023, 1.34772, 1.298318, 1.248468, 1.197217, 1.144515, 1.100113, 
    1.072462, 1.077714, 1.13277, 1.222183, 1.331003, 1.460128, 1.61161, 
    1.750638, 1.838843, 1.907803, 1.964266, 1.991527, 1.997881, 1.984625, 
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    0, 0, 0.554283, 1.556145, 1.564719, 1.496047, 1.438217, 1.356965, 
    1.244864, 1.166708, 1.119694, 1.117154, 1.141371, 1.184777, 1.239028, 
    1.29448, 1.340136, 1.368541, 1.387145, 1.40145, 1.41345, 1.423298, 
    1.434195, 1.44879, 1.467334, 1.486776, 1.504469, 1.519963, 1.527157, 
    1.526756, 1.524609, 1.521912, 1.517815, 1.512017, 1.503769, 1.491871, 
    1.477124, 1.460527, 1.441479, 1.417481, 1.391733, 1.366536, 1.34309, 
    1.320693, 1.301145, 1.286298, 1.27425, 1.264902, 1.261204,
  1.205571, 1.202775, 1.19393, 1.181785, 1.167339, 1.150092, 1.126794, 
    1.098695, 1.07234, 1.053682, 1.04277, 1.041961, 1.048301, 1.063744, 
    1.089636, 1.12438, 1.159278, 1.191379, 1.21358, 1.219484, 1.212538, 
    1.197191, 1.171345, 1.140898, 1.110548, 1.081948, 1.055748, 1.042948, 
    1.057799, 1.098202, 1.156206, 1.21841, 1.276811, 1.331011, 1.380509, 
    1.412306, 1.419801, 1.404895, 1.370932, 1.334365, 1.305249, 1.281733, 
    1.265769, 1.262057, 1.26545, 1.270941, 1.267581, 1.249774, 1.22417, 
    1.191569, 1.147571, 1.094779, 0.7845841, 0.5132453, 0.4492349, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2969665, 0.9873824, 0.9862797, 0.9948003, 
    1.013445, 1.046024, 1.843974, 2.240061, 2.276913, 2.202282, 2.066402, 
    0.2032056, 0.254084, 1.243007, 1.582358, 1.494536, 1.462165, 1.493254, 
    1.567411, 1.677988, 1.79832, 1.900596, 1.956656, 1.971304, 1.968452, 
    1.949846, 1.912686, 1.849665, 1.764782, 1.677249, 1.59637, 1.55851, 
    1.545559, 1.536459, 1.528761, 1.522211, 1.519163, 1.518212, 1.517961, 
    1.517412, 1.515863, 1.511717, 1.503021, 1.489427, 1.472581, 1.447732, 
    1.413429, 1.370277, 1.323273, 1.27497, 1.225267, 1.175013, 1.133059, 
    1.106707, 1.110458, 1.159516, 1.238229, 1.331495, 1.440518, 1.566995, 
    1.685017, 1.769819, 1.831877, 1.878935, 1.899889, 1.904839, 1.897531, 
    1.77373, 0.9030605, 0.4471658, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 1.708388, 1.79214, 1.697474, 1.615412, 1.494159, 
    1.341206, 1.225402, 1.143898, 1.120737, 1.126515, 1.161777, 1.212784, 
    1.265389, 1.307092, 1.331298, 1.345354, 1.35526, 1.36676, 1.378059, 
    1.391456, 1.410401, 1.434843, 1.460536, 1.484478, 1.505921, 1.517167, 
    1.516269, 1.51257, 1.507473, 1.501225, 1.493277, 1.483579, 1.469881, 
    1.453183, 1.435034, 1.414785, 1.388986, 1.361139, 1.333542, 1.306996, 
    1.2817, 1.259554, 1.242306, 1.228209, 1.217411, 1.211663,
  1.148071, 1.142474, 1.129379, 1.112885, 1.095089, 1.075192, 1.050295, 
    1.021496, 0.9980932, 0.9858853, 0.9841743, 0.9919129, 1.005803, 1.027396, 
    1.059488, 1.098484, 1.135281, 1.16753, 1.188432, 1.191236, 1.181788, 
    1.16429, 1.136392, 1.104742, 1.074042, 1.045791, 1.01979, 1.007289, 
    1.020792, 1.057049, 1.110208, 1.168164, 1.22357, 1.276175, 1.326574, 
    1.360722, 1.372316, 1.363607, 1.341092, 1.318973, 1.304253, 1.295133, 
    1.293164, 1.300099, 1.309441, 1.322981, 1.328369, 1.31711, 1.296402, 
    1.265548, 1.220948, 0.9876948, 0.2719333, 0.7325244, 0.1046463, 0, 0, 0, 
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    1.138561, 1.097257, 1.025076, 0.1007031, 0.4989264, 1.621832, 1.532615, 
    1.462094, 1.446374, 1.48352, 1.548686, 1.636715, 1.729999, 1.809879, 
    1.85754, 1.874386, 1.875329, 1.863368, 1.837749, 1.796068, 1.739032, 
    1.677999, 1.622216, 1.592855, 1.581053, 1.571704, 1.563055, 1.555706, 
    1.552605, 1.55395, 1.555994, 1.556291, 1.553743, 1.546447, 1.533204, 
    1.514411, 1.493118, 1.466471, 1.431775, 1.389326, 1.343876, 1.298223, 
    1.251867, 1.205462, 1.166807, 1.142455, 1.144707, 1.187315, 1.255728, 
    1.336243, 1.429011, 1.535882, 1.635455, 1.713071, 1.770724, 1.812179, 
    1.83103, 1.837826, 1.836919, 1.824948, 1.805463, 0.8979962, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8525468, 
    2.07904, 2.042192, 1.92297, 1.810407, 1.652051, 1.460599, 1.30565, 
    1.183954, 1.124304, 1.114066, 1.142271, 1.187279, 1.23344, 1.2697, 
    1.289555, 1.298561, 1.304066, 1.314768, 1.326817, 1.342016, 1.365461, 
    1.395853, 1.427545, 1.457488, 1.484782, 1.499028, 1.497278, 1.49238, 
    1.485531, 1.477933, 1.468783, 1.457885, 1.442486, 1.425037, 1.406287, 
    1.385089, 1.35789, 1.327693, 1.297796, 1.26825, 1.240153, 1.214956, 
    1.195809, 1.180159, 1.167912, 1.160264,
  1.092073, 1.084026, 1.066881, 1.046486, 1.02534, 1.002794, 0.9759467, 
    0.9471453, 0.9255931, 0.9190862, 0.9257259, 0.9422149, 0.9628071, 
    0.9900501, 1.027345, 1.06974, 1.109037, 1.142384, 1.161787, 1.161291, 
    1.150043, 1.131095, 1.102396, 1.070546, 1.040794, 1.013492, 0.9882409, 
    0.9754924, 0.9865459, 1.017901, 1.064759, 1.116967, 1.167573, 1.21608, 
    1.265682, 1.301481, 1.317575, 1.317213, 1.306796, 1.299727, 1.300507, 
    1.307235, 1.321613, 1.338103, 1.354444, 1.376731, 1.392167, 1.388906, 
    1.375146, 1.348439, 1.305335, 0.8780776, 0, 0.3723236, 0.05318908, 0, 0, 
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    0.4764315, 1.551349, 1.475382, 1.421162, 1.420493, 1.458794, 1.511111, 
    1.577538, 1.64507, 1.702148, 1.740661, 1.760657, 1.769444, 1.767878, 
    1.758605, 1.740326, 1.710641, 1.676007, 1.645574, 1.628404, 1.619049, 
    1.609449, 1.600549, 1.592998, 1.59359, 1.60043, 1.606924, 1.61002, 
    1.606471, 1.595427, 1.576684, 1.551443, 1.524102, 1.491465, 1.451474, 
    1.40638, 1.360331, 1.316979, 1.274674, 1.233366, 1.198711, 1.176957, 
    1.177608, 1.213617, 1.27203, 1.341244, 1.421309, 1.51193, 1.595348, 
    1.663556, 1.71811, 1.756863, 1.77626, 1.787303, 1.793792, 1.796724, 
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    0, 0, 0, 0.6723326, 1.058076, 1.926253, 1.434259, 0.2842528, 0, 0, 0, 
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    0.8569408, 2.313622, 2.281493, 2.143464, 2.007536, 1.814631, 1.58553, 
    1.053268, 1.02342, 1.135167, 1.115031, 1.137491, 1.172908, 1.205531, 
    1.230251, 1.243064, 1.246772, 1.248327, 1.258427, 1.271076, 1.287225, 
    1.315069, 1.35201, 1.389802, 1.425494, 1.457738, 1.475034, 1.472785, 
    1.467035, 1.459087, 1.450937, 1.441786, 1.429837, 1.413937, 1.396038, 
    1.376789, 1.35439, 1.325393, 1.293096, 1.260799, 1.228852, 1.197806, 
    1.170857, 1.14981, 1.133311, 1.119413, 1.109517,
  1.014136, 1.006083, 0.9885292, 0.9686728, 0.9483666, 0.9270094, 0.9016023, 
    0.8758952, 0.8573393, 0.8552344, 0.8686767, 0.8918698, 0.9188107, 
    0.9520516, 0.9937452, 1.038693, 1.079792, 1.11459, 1.13319, 1.130491, 
    1.117793, 1.097395, 1.066999, 1.034849, 1.006049, 0.979, 0.9531033, 
    0.9380581, 0.9460627, 0.9726202, 1.013329, 1.059786, 1.106091, 1.151344, 
    1.199993, 1.239336, 1.261326, 1.270014, 1.272396, 1.279826, 1.295507, 
    1.317836, 1.348415, 1.373103, 1.396444, 1.427832, 1.453668, 1.460802, 
    1.457135, 1.43877, 1.327958, 0.4541349, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2328331, 1.111349, 
    1.415428, 1.375161, 1.385152, 1.419561, 1.459926, 1.508796, 1.554672, 
    1.593891, 1.625746, 1.64949, 1.668276, 1.679608, 1.687086, 1.68946, 
    1.683282, 1.673251, 1.665323, 1.661857, 1.657, 1.648696, 1.639696, 
    1.632995, 1.640535, 1.654425, 1.666217, 1.672313, 1.668214, 1.653169, 
    1.628677, 1.596436, 1.560899, 1.518214, 1.470625, 1.420582, 1.372985, 
    1.330984, 1.292129, 1.256372, 1.227263, 1.209207, 1.210055, 1.239912, 
    1.288626, 1.347489, 1.416504, 1.49312, 1.564584, 1.625794, 1.67685, 
    1.714002, 1.7351, 1.751791, 1.765334, 1.778226, 1.799114, 1.360011, 
    0.2727044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4836777, 1.645387, 1.937523, 1.931881, 1.913488, 0.5710471, 0.08960503, 
    0.8900666, 0.8628908, 1.400805, 1.577902, 1.494443, 1.414726, 1.36897, 
    1.324721, 1.09341, 0.3156371, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 2.421134, 2.522113, 2.36644, 2.206931, 1.986759, 
    1.723551, 0.7909141, 0.4228999, 1.107061, 1.139105, 1.152469, 1.172842, 
    1.185622, 1.192948, 1.194067, 1.189232, 1.188084, 1.19988, 1.214076, 
    1.231075, 1.264067, 1.307509, 1.35155, 1.393143, 1.430036, 1.449036, 
    1.446535, 1.440186, 1.432135, 1.424584, 1.416033, 1.403982, 1.388282, 
    1.369383, 1.348786, 1.323293, 1.288905, 1.250469, 1.211833, 1.173547, 
    1.135961, 1.103724, 1.078134, 1.058141, 1.042544, 1.031942,
  0.9146402, 0.9086873, 0.8946317, 0.8793754, 0.8638683, 0.8473122, 
    0.8275536, 0.8070961, 0.7933385, 0.7956811, 0.8151221, 0.8445117, 
    0.8778031, 0.9170457, 0.9635884, 1.010984, 1.053282, 1.088582, 1.106684, 
    1.103035, 1.088289, 1.065843, 1.033544, 1.000197, 0.9707989, 0.9424516, 
    0.9140054, 0.8951612, 0.899068, 0.9201258, 0.9548337, 0.9958915, 
    1.039095, 1.082996, 1.132245, 1.17629, 1.206327, 1.224812, 1.239944, 
    1.261125, 1.290008, 1.325891, 1.369177, 1.402914, 1.433453, 1.472743, 
    1.509726, 1.529457, 1.536644, 1.524592, 0.7327304, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3545017, 1.153911, 1.327222, 1.345359, 1.372819, 1.404478, 1.440643, 
    1.471708, 1.49962, 1.529621, 1.558612, 1.586251, 1.610584, 1.633163, 
    1.652592, 1.665567, 1.674745, 1.683227, 1.689666, 1.690557, 1.685701, 
    1.677349, 1.673343, 1.688332, 1.709173, 1.726166, 1.73606, 1.732258, 
    1.714161, 1.684168, 1.64463, 1.597898, 1.543715, 1.487778, 1.431737, 
    1.380843, 1.339244, 1.30324, 1.272932, 1.250273, 1.237714, 1.240909, 
    1.267162, 1.30817, 1.358231, 1.417045, 1.482758, 1.545269, 1.600276, 
    1.647581, 1.683233, 1.706629, 1.727775, 1.74577, 1.764811, 1.792953, 
    1.816248, 1.18394, 0.09094158, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6439202, 0.9473081, 0.9707913, 1.471824, 1.968331, 1.973924, 1.96343, 
    1.934453, 1.234069, 1.009492, 1.786895, 1.730251, 1.654356, 1.575155, 
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    0.7582796, 1.18145, 1.184774, 1.175307, 1.162885, 1.150304, 1.136314, 
    1.132819, 1.146967, 1.163314, 1.182111, 1.218759, 1.268499, 1.31879, 
    1.364537, 1.404286, 1.423685, 1.421783, 1.416031, 1.410026, 1.404023, 
    1.39702, 1.386167, 1.370268, 1.35012, 1.325528, 1.293241, 1.248857, 
    1.199423, 1.150339, 1.101254, 1.05307, 1.011932, 0.9796402, 0.9553941, 
    0.9382457, 0.9288941,
  0.8181384, 0.8139362, 0.8041295, 0.7935723, 0.7828655, 0.7714567, 
    0.7579972, 0.7434375, 0.7350794, 0.7428214, 0.7686618, 0.8050023, 
    0.8442934, 0.8884866, 0.9395309, 0.990276, 1.033276, 1.068227, 1.084729, 
    1.079583, 1.062785, 1.038286, 1.00449, 0.9690925, 0.9375471, 0.9070506, 
    0.8759046, 0.8529606, 0.8510706, 0.8656317, 0.8943909, 0.930647, 
    0.9716001, 1.015, 1.065398, 1.113442, 1.151581, 1.181663, 1.209045, 
    1.242977, 1.283261, 1.329498, 1.382136, 1.424673, 1.46371, 1.510797, 
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    1.649878, 1.672512, 1.691998, 1.706635, 1.714723, 1.715962, 1.711253, 
    1.711497, 1.732989, 1.759931, 1.781973, 1.795918, 1.793615, 1.773667, 
    1.738674, 1.691834, 1.633749, 1.567715, 1.502729, 1.438992, 1.383599, 
    1.340752, 1.307348, 1.28294, 1.267078, 1.261468, 1.269159, 1.29411, 
    1.331164, 1.374971, 1.425431, 1.482841, 1.538749, 1.588507, 1.631963, 
    1.666465, 1.692212, 1.716258, 1.737504, 1.761249, 1.793545, 1.819243, 
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    1.929164, 1.981548, 2.008157, 2.02321, 2.034052, 2.016915, 1.96795, 
    1.906381, 1.849384, 1.788949, 1.725015, 1.646019, 1.568713, 1.496457, 
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    0.1797776, 0.6012644, 0.5987069, 1.114872, 1.145266, 1.121029, 1.100289, 
    1.093095, 1.107746, 1.125793, 1.147339, 1.185537, 1.239385, 1.293532, 
    1.34138, 1.382228, 1.402626, 1.402771, 1.399766, 1.39746, 1.394603, 
    1.389751, 1.380349, 1.36365, 1.340109, 1.308521, 1.266437, 1.210205, 
    1.147577, 1.087094, 1.02731, 0.9682749, 0.9190868, 0.8821413, 0.8556938, 
    0.8378442, 0.8293433,
  0.7301252, 0.7273231, 0.7216675, 0.7162592, 0.7106009, 0.7049424, 
    0.6984809, 0.6910691, 0.6888089, 0.7022997, 0.7345899, 0.7769814, 
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    1.059976, 1.041031, 1.015083, 0.9799339, 0.9423376, 0.9080412, 0.8751449, 
    0.8409501, 0.8146042, 0.8063134, 0.8127269, 0.8345882, 0.8668941, 
    0.9055977, 0.9488482, 1.000496, 1.051942, 1.097332, 1.138517, 1.179842, 
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    1.280313, 1.30147, 1.323277, 1.341931, 1.361584, 1.388237, 1.423837, 
    1.463081, 1.501078, 1.542919, 1.588153, 1.627938, 1.660524, 1.688562, 
    1.7116, 1.727688, 1.736726, 1.738765, 1.744554, 1.771845, 1.803937, 
    1.830781, 1.847927, 1.847773, 1.827173, 1.788028, 1.735036, 1.666902, 
    1.589968, 1.515832, 1.444691, 1.384847, 1.340249, 1.308947, 1.290587, 
    1.282874, 1.284713, 1.298104, 1.323551, 1.358604, 1.397711, 1.442069, 
    1.492879, 1.542888, 1.587246, 1.626004, 1.659157, 1.686953, 1.714248, 
    1.738393, 1.765139, 1.799487, 1.826734, 1.835781, 1.729258, 0.6224923, 
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    1.32823, 1.969367, 2.034743, 2.055702, 2.07035, 2.086941, 2.063895, 
    1.990234, 1.912701, 1.855747, 1.788502, 1.714517, 1.635263, 1.560711, 
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    1.388028, 1.369382, 1.339792, 1.299755, 1.246423, 1.176596, 1.099567, 
    1.027335, 0.9568512, 0.887517, 0.8316751, 0.7918791, 0.763632, 0.7458314, 
    0.7382794,
  0.6551078, 0.6540545, 0.6522481, 0.6520901, 0.6518316, 0.652271, 0.6530599, 
    0.6539959, 0.6590333, 0.6784241, 0.7170143, 0.7651549, 0.8144984, 
    0.8666441, 0.9232422, 0.975593, 1.016497, 1.047252, 1.058208, 1.047064, 
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    0.8113917, 0.781399, 0.7678062, 0.7668158, 0.7822244, 0.8107802, 
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    1.258015, 1.276318, 1.292771, 1.311571, 1.337371, 1.372922, 1.413373, 
    1.452324, 1.497921, 1.551262, 1.600548, 1.640787, 1.675778, 1.706616, 
    1.730354, 1.746494, 1.75668, 1.770914, 1.804404, 1.840948, 1.871542, 
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    3.049884, 3.479791, 3.287326, 3.067545, 1.845359, 0.1362807, 0, 
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    1.15086, 1.206161, 1.261265, 1.311466, 1.355862, 1.381906, 1.390997, 
    1.399385, 1.407875, 1.414068, 1.414462, 1.40786, 1.386165, 1.349826, 
    1.300741, 1.235561, 1.151183, 1.060404, 0.9763237, 0.8953897, 0.8173011, 
    0.7569072, 0.714611, 0.6852614, 0.6673624, 0.6607116,
  0.5955839, 0.5962815, 0.598774, 0.6037654, 0.6090559, 0.6157463, 0.6241329, 
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    0.787286, 0.7533414, 0.7348002, 0.7285077, 0.7412077, 0.7676585, 
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    1.203107, 1.268, 1.334293, 1.406785, 1.471131, 1.52848, 1.592127, 
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    1.216619, 1.232922, 1.248771, 1.267571, 1.293371, 1.328871, 1.368572, 
    1.407072, 1.453971, 1.511467, 1.567858, 1.614548, 1.655289, 1.693128, 
    1.724017, 1.747005, 1.765791, 1.790274, 1.831459, 1.872202, 1.906644, 
    1.931339, 1.937182, 1.91818, 1.875731, 1.812588, 1.7277, 1.63471, 
    1.54592, 1.463329, 1.395934, 1.349485, 1.321583, 1.314325, 1.322264, 
    1.338454, 1.361997, 1.390546, 1.420801, 1.450957, 1.483916, 1.521428, 
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    0.4828825, 0.5276939, 0.8031949, 0.8458812, 0.8524223, 0.4824584, 
    0.5148017, 0.5834254, 0.6678967, 0.7623352, 0.8529363, 1.604787, 
    1.096162, 1.048386, 1.603431, 2.166842, 2.197782, 2.17738, 2.088137, 
    1.998562, 1.142037, 1.801945, 1.710989, 1.638574, 0.8623423, 0.528482, 0, 
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    3.414564, 3.182086, 0.92111, 0, 0, 0.8749803, 1.605058, 1.444256, 
    1.363355, 1.322959, 0.8387197, 0.6063497, 0.4057116, 0, 0.738842, 
    1.046641, 1.059641, 1.080741, 1.108839, 1.152136, 1.206337, 1.259241, 
    1.307247, 1.35205, 1.381894, 1.397233, 1.412572, 1.427761, 1.43925, 
    1.443444, 1.437494, 1.411951, 1.368363, 1.310228, 1.233197, 1.13477, 
    1.030891, 0.9353083, 0.8449727, 0.7604321, 0.6964376, 0.6525887, 
    0.6227399, 0.6044402, 0.5984887,
  0.553058, 0.5558532, 0.5631945, 0.5730867, 0.5837781, 0.5962184, 0.6116584, 
    0.6291969, 0.6489847, 0.6799772, 0.7280212, 0.7854161, 0.8422099, 
    0.9004038, 0.9594492, 1.00985, 1.044954, 1.067112, 1.070118, 1.051524, 
    1.022481, 0.9860894, 0.9418498, 0.8953583, 0.8532645, 0.8122194, 
    0.7692242, 0.7309832, 0.7070426, 0.6970972, 0.7101959, 0.7376416, 
    0.7727866, 0.8152805, 0.872072, 0.9388105, 1.005998, 1.073186, 1.142978, 
    1.208026, 1.274976, 1.341931, 1.414788, 1.479341, 1.535496, 1.599001, 
    0.8326302, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.174473, 1.191566, 1.209261, 1.22831, 1.25436, 1.290308, 1.329758, 
    1.36756, 1.414461, 1.473261, 1.534554, 1.585549, 1.631292, 1.675631, 
    1.713319, 1.743756, 1.771739, 1.80722, 1.857654, 1.902945, 1.941589, 
    1.97033, 1.979775, 1.962671, 1.919671, 1.85198, 1.76069, 1.661451, 
    1.56676, 1.478471, 1.407328, 1.359481, 1.332979, 1.329923, 1.343913, 
    1.365954, 1.392551, 1.420902, 1.448407, 1.474215, 1.501076, 1.531438, 
    1.561551, 1.58901, 1.615767, 1.646317, 1.68181, 1.721749, 1.759581, 
    1.796921, 1.838613, 1.874947, 0.5669806, 0, 0, 0, 0, 0, 0.1202586, 
    0.6515762, 0.91075, 0.9431274, 0.977468, 1.043215, 1.176879, 1.342193, 
    1.528404, 1.713742, 1.887536, 1.117436, 1.077464, 1.644355, 2.216194, 
    2.252137, 2.233184, 2.140937, 1.332222, 0.1923033, 1.164387, 1.711759, 
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    3.513805, 2.480072, 0.4682408, 0, 0.3063022, 1.391753, 1.617601, 
    1.461089, 1.38303, 1.342974, 1.298373, 1.224473, 0.8182856, 0, 0.3719136, 
    1.006845, 1.07411, 1.095459, 1.12381, 1.168011, 1.22186, 1.272713, 
    1.317967, 1.360272, 1.391872, 1.413213, 1.434903, 1.456642, 1.473136, 
    1.479934, 1.473785, 1.443842, 1.393402, 1.326468, 1.238535, 1.126857, 
    1.010976, 0.9057901, 0.807602, 0.7176108, 0.6511136, 0.6065648, 
    0.5760159, 0.557915, 0.5526143,
  0.52753, 0.5331251, 0.5451675, 0.559759, 0.5750018, 0.5923445, 0.6131859, 
    0.6368262, 0.6624682, 0.6965152, 0.7474113, 0.8073078, 0.8677014, 
    0.9294951, 0.99134, 1.042686, 1.076686, 1.095988, 1.095593, 1.073449, 
    1.039958, 0.9984173, 0.9478289, 0.895142, 0.8485017, 0.8032615, 
    0.7565696, 0.7134276, 0.6855318, 0.6740823, 0.6887282, 0.7188731, 
    0.7570177, 0.803211, 0.8646533, 0.9375933, 1.011732, 1.084823, 1.15787, 
    1.22372, 1.289224, 1.35298, 1.420841, 1.480654, 1.532016, 1.033754, 
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    1.155409, 1.177548, 1.197795, 1.225042, 1.261741, 1.301241, 1.338292, 
    1.383396, 1.440104, 1.503305, 1.5568, 1.605398, 1.65519, 1.700077, 
    1.740256, 1.780082, 1.828706, 1.89108, 1.943164, 1.986854, 2.020644, 
    2.033488, 2.018385, 1.974239, 1.901398, 1.803362, 1.696926, 1.59539, 
    1.500602, 1.42506, 1.374965, 1.348666, 1.348014, 1.365811, 1.39071, 
    1.417364, 1.442922, 1.46673, 1.48724, 1.507751, 1.531014, 1.554574, 
    1.577281, 1.602778, 1.636517, 1.678601, 1.725986, 1.773371, 1.821045, 
    1.874263, 1.923882, 0.5837608, 0, 0, 0, 0, 0, 0, 0.509901, 0.9964028, 
    0.9811907, 0.9869, 1.0535, 1.179612, 1.263038, 0.7662479, 1.308445, 
    1.891401, 2.054829, 2.174507, 2.217196, 1.455954, 2.179174, 2.274622, 
    1.642832, 0.3182204, 0.0909774, 1.155101, 1.700281, 0.5019096, 0, 0, 0, 
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    1.393688, 1.883081, 1.605891, 1.455332, 1.388651, 1.354984, 1.313276, 
    1.24077, 1.001615, 0.2874806, 0, 0.9843782, 1.109366, 1.131166, 1.157871, 
    1.200177, 1.253878, 1.302433, 1.344341, 1.383397, 1.414897, 1.441438, 
    1.469377, 1.497515, 1.519004, 1.527899, 1.520702, 1.487157, 1.430418, 
    1.354933, 1.256352, 1.132324, 1.004546, 0.8902633, 0.7850757, 0.6902834, 
    0.6217877, 0.5762898, 0.5454894, 0.5278887, 0.523536,
  0.5209927, 0.5290388, 0.5451319, 0.5634769, 0.5819725, 0.6025681, 
    0.6276616, 0.6558549, 0.6847015, 0.7198505, 0.7719502, 0.8338964, 
    0.8971923, 0.962237, 1.027679, 1.080976, 1.115425, 1.133776, 1.130979, 
    1.104888, 1.066696, 1.019407, 0.9622689, 0.9026307, 0.8499926, 0.7991033, 
    0.7475627, 0.7004688, 0.670771, 0.6596194, 0.6763161, 0.7096099, 
    0.7505055, 0.8001499, 0.8661909, 0.9444318, 1.023725, 1.100919, 1.175716, 
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    1.177527, 1.206574, 1.244222, 1.283921, 1.319526, 1.361781, 1.41379, 
    1.475395, 1.530793, 1.580591, 1.637971, 1.696286, 1.751951, 1.808664, 
    1.875026, 1.953295, 2.01657, 2.067604, 2.107093, 2.119352, 2.099571, 
    2.049689, 1.969257, 1.862076, 1.746645, 1.636462, 1.534127, 1.45264, 
    1.399198, 1.370604, 1.36901, 1.386017, 1.408725, 1.431785, 1.452445, 
    1.470756, 1.485516, 1.500277, 1.517186, 1.536641, 1.558786, 1.588274, 
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    1.0535, 1.171915, 1.17313, 0, 0.8955092, 1.890054, 2.069369, 2.204884, 
    1.684016, 0.3381335, 1.166832, 1.988832, 0.5633048, 0, 0.09163427, 
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    1.169118, 1.191117, 1.214176, 1.251786, 1.302447, 1.347156, 1.384862, 
    1.421017, 1.452766, 1.483908, 1.518197, 1.552935, 1.579876, 1.591621, 
    1.58412, 1.547426, 1.484437, 1.400403, 1.291521, 1.155343, 1.015962, 
    0.892229, 0.779693, 0.6804015, 0.6099542, 0.5635055, 0.5328055, 
    0.5154552, 0.512752,
  0.5553768, 0.563082, 0.5784919, 0.5956017, 0.6126618, 0.6318219, 0.6567295, 
    0.6859823, 0.7149355, 0.7491401, 0.8010412, 0.8641906, 0.9294374, 
    0.9971328, 1.06558, 1.120775, 1.156173, 1.174074, 1.169726, 1.139483, 
    1.096941, 1.043902, 0.980264, 0.9141263, 0.8554867, 0.7989472, 0.7426555, 
    0.6925107, 0.6615133, 0.6511619, 0.6699076, 0.7062027, 0.7497472, 
    0.8023917, 0.8726351, 0.9549787, 1.038221, 1.118316, 1.193966, 1.256671, 
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    1.198904, 1.235162, 1.272172, 1.304032, 1.341146, 1.387458, 1.445616, 
    1.500819, 1.555304, 1.626621, 1.707522, 1.782934, 1.859048, 1.946756, 
    2.042722, 2.118052, 2.176939, 2.218044, 2.223311, 2.193827, 2.135293, 
    2.044761, 1.927331, 1.803394, 1.686103, 1.576166, 1.487779, 1.42919, 
    1.395453, 1.388518, 1.400181, 1.417243, 1.434306, 1.449367, 1.461578, 
    1.471536, 1.481843, 1.495843, 1.515538, 1.542276, 1.579508, 1.631987, 
    1.693865, 1.760196, 1.828275, 1.902651, 1.986328, 2.068094, 0.6309971, 0, 
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    1.227312, 0.7327601, 1.283513, 1.887306, 1.975639, 1.115766, 0.5678959, 
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    0.4337485, 1.162042, 1.243555, 1.266352, 1.286006, 1.318365, 1.36502, 
    1.405875, 1.440081, 1.473686, 1.506134, 1.541377, 1.580819, 1.62131, 
    1.652602, 1.667346, 1.661093, 1.622843, 1.556843, 1.468093, 1.353447, 
    1.210749, 1.065003, 0.9363539, 0.819954, 0.7188022, 0.647652, 0.6008521, 
    0.570152, 0.5508596, 0.5466189,
  0.629337, 0.6342425, 0.6444029, 0.655566, 0.6666292, 0.680141, 0.6998038, 
    0.7253653, 0.7516724, 0.7828795, 0.8326865, 0.8959866, 0.9624352, 
    1.032032, 1.102577, 1.159724, 1.19667, 1.215068, 1.209669, 1.176922, 
    1.130429, 1.073085, 1.003297, 0.9311078, 0.8667195, 0.80478, 0.7438396, 
    0.6915427, 0.6592451, 0.6493447, 0.6698922, 0.7079902, 0.7534882, 
    0.8084349, 0.8811321, 0.9662278, 1.052225, 1.134023, 1.208926, 1.26958, 
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    1.229012, 1.256887, 1.281057, 1.310125, 1.34914, 1.402103, 1.454859, 
    1.514256, 1.597991, 1.705736, 1.804235, 1.902386, 2.013835, 2.127103, 
    2.211339, 2.274934, 2.315481, 2.316081, 2.278098, 2.211763, 2.112228, 
    1.985993, 1.857647, 1.736652, 1.62106, 1.525625, 1.46019, 1.418907, 
    1.404073, 1.408537, 1.419, 1.429114, 1.437977, 1.445833, 1.452786, 
    1.461486, 1.477527, 1.502512, 1.536745, 1.584272, 1.648499, 1.722374, 
    1.798655, 1.877733, 1.965057, 2.06173, 2.159055, 0.6605387, 0, 0, 0, 0, 
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    1.279817, 1.209368, 0.9399785, 0, 0.6105917, 2.113033, 2.443311, 
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    1.218166, 1.389616, 1.371615, 1.364508, 1.351436, 1.312609, 1.280021, 
    0.6354509, 0.4371106, 0.6308689, 0.8510498, 1.352315, 1.371065, 1.397628, 
    1.440439, 1.476851, 1.508006, 1.539759, 1.572359, 1.611353, 1.655243, 
    1.700185, 1.73468, 1.751578, 1.747124, 1.709722, 1.643323, 1.554572, 
    1.439221, 1.296121, 1.149471, 1.021068, 0.9052659, 0.8047652, 0.7342628, 
    0.6878114, 0.6564142, 0.6342177, 0.625675,
  0.743205, 0.7428707, 0.7432, 0.7434309, 0.7440597, 0.7471401, 0.7559212, 
    0.7729938, 0.7941574, 0.8209182, 0.8668765, 0.9288321, 0.9949349, 
    1.064538, 1.135641, 1.194188, 1.232935, 1.25313, 1.247679, 1.213681, 
    1.164684, 1.104838, 1.032237, 0.9565402, 0.8876961, 0.8220006, 0.7585508, 
    0.7061977, 0.6731982, 0.6636471, 0.6848471, 0.7234471, 0.7687002, 
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    1.46265, 1.55777, 1.693313, 1.818208, 1.943101, 2.077061, 2.201898, 
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    2.037551, 1.907404, 1.783561, 1.663371, 1.560835, 1.487949, 1.438864, 
    1.41608, 1.412896, 1.41651, 1.420122, 1.42368, 1.429035, 1.435781, 
    1.446723, 1.469156, 1.503533, 1.548457, 1.60843, 1.686897, 1.774018, 
    1.860596, 1.95172, 2.053887, 2.164159, 2.269005, 1.545598, 0.1217028, 0, 
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    1.736454, 1.64905, 1.536788, 1.397672, 1.256102, 1.132733, 1.022314, 
    0.9270932, 0.861177, 0.8184133, 0.7882554, 0.7647072, 0.7502239,
  0.8941692, 0.886484, 0.8725637, 0.8572969, 0.8432788, 0.8313606, 0.8250917, 
    0.8303681, 0.8438862, 0.8644014, 0.9050153, 0.9635739, 1.026933, 
    1.094488, 1.164291, 1.22349, 1.263937, 1.286532, 1.283074, 1.249371, 
    1.199422, 1.13897, 1.06662, 0.9902199, 0.91992, 0.8527714, 0.7896199, 
    0.7395634, 0.709152, 0.7004495, 0.7217491, 0.7594529, 0.8021604, 
    0.8536195, 0.9210806, 0.9997448, 1.079213, 1.156927, 1.226887, 1.281298, 
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    2.416506, 2.457251, 2.456947, 2.408899, 2.332153, 2.218813, 2.081269, 
    1.949173, 1.821981, 1.696841, 1.588053, 1.508217, 1.451833, 1.421598, 
    1.411262, 1.408523, 1.406485, 1.40684, 1.411986, 1.421776, 1.438909, 
    1.470837, 1.518255, 1.578169, 1.653831, 1.75014, 1.852605, 1.951526, 
    2.056046, 2.174114, 2.297487, 2.408416, 2.508136, 1.47091, 1.3943, 
    2.101473, 2.769457, 2.348561, 0, 0, 0, 0, 0, 0, 0, 0.6034319, 0.7535117, 
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    1.76534, 1.816435, 1.868032, 1.907079, 1.927076, 1.925374, 1.892119, 
    1.829361, 1.746796, 1.642175, 1.5132, 1.382624, 1.269699, 1.170073, 
    1.0854, 1.028081, 0.9918676, 0.9644144, 0.9392195, 0.9166363,
  1.053647, 1.038962, 1.010992, 0.9805243, 0.9515067, 0.9245893, 0.9031731, 
    0.8956019, 0.9006202, 0.913687, 0.9472036, 1.001015, 1.060424, 1.12508, 
    1.193334, 1.251987, 1.293437, 1.31878, 1.319967, 1.289806, 1.241398, 
    1.181795, 1.109645, 1.033842, 0.9643887, 0.8977351, 0.8366276, 0.7906665, 
    0.765356, 0.7586001, 0.780498, 0.8160036, 0.8551114, 0.9019223, 
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    2.445197, 2.368691, 2.253389, 2.113842, 1.979448, 1.848904, 1.718417, 
    1.604079, 1.517991, 1.455004, 1.418118, 1.401431, 1.393293, 1.386203, 
    1.384556, 1.391552, 1.406788, 1.432867, 1.477535, 1.541097, 1.619155, 
    1.713662, 1.829967, 1.950475, 2.063992, 2.182063, 2.314384, 2.446971, 
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    1.91532, 1.841299, 1.747324, 1.631742, 1.515257, 1.414679, 1.327053, 
    1.254175, 1.205707, 1.174599, 1.148745, 1.12125, 1.090368,
  1.212648, 1.191312, 1.149991, 1.105571, 1.0625, 1.02153, 0.9848143, 
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    1.020558, 1.078434, 1.13641, 1.194037, 1.247565, 1.289981, 1.333238, 
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    2.283863, 2.378009, 2.452542, 2.504826, 2.510268, 2.46397, 2.387924, 
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    1.443598, 1.401159, 1.37877, 1.365581, 1.354837, 1.351889, 1.36208, 
    1.38481, 1.421534, 1.481648, 1.563255, 1.66091, 1.776061, 1.913811, 
    2.053518, 2.181985, 2.312558, 2.457182, 2.597311, 2.702661, 2.790888, 
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    1.034836, 1.635387, 1.666232, 1.692273, 1.716781, 1.740385, 1.76784, 
    1.803337, 1.846934, 1.895634, 1.948185, 2.000137, 2.040236, 2.062882, 
    2.064529, 2.039514, 1.991243, 1.927568, 1.846387, 1.746349, 1.646212, 
    1.559179, 1.48405, 1.422925, 1.382259, 1.354602, 1.330449, 1.301699, 
    1.262766,
  1.365649, 1.338362, 1.284939, 1.227419, 1.171996, 1.118325, 1.067804, 
    1.034286, 1.021608, 1.018728, 1.03704, 1.080702, 1.133162, 1.191571, 
    1.254027, 1.309982, 1.35293, 1.384323, 1.396012, 1.377054, 1.336644, 
    1.284681, 1.221715, 1.156348, 1.097332, 1.040766, 0.9911509, 0.9574843, 
    0.9420219, 0.9430111, 0.9625642, 0.9881279, 1.013796, 1.045065, 1.086489, 
    1.132567, 1.178895, 1.223826, 1.264507, 1.300072, 1.34023, 1.372685, 
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    1.191599, 2.280253, 2.376498, 2.458032, 2.516023, 2.522824, 2.473984, 
    2.394346, 2.276107, 2.134066, 1.993028, 1.851645, 1.707463, 1.579629, 
    1.483838, 1.413243, 1.367198, 1.340755, 1.323363, 1.310169, 1.307664, 
    1.322254, 1.352838, 1.400912, 1.476825, 1.577082, 1.694437, 1.83034, 
    1.989741, 2.148944, 2.290268, 2.427764, 2.577019, 2.718734, 2.82055, 
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    1.787897, 1.813451, 1.850197, 1.894597, 1.942899, 1.994005, 2.044808, 
    2.085407, 2.109155, 2.113297, 2.094682, 2.055661, 2.003085, 1.936151, 
    1.85326, 1.769472, 1.696689, 1.634061, 1.583686, 1.549671, 1.525114, 
    1.502312, 1.472864, 1.428323,
  1.510163, 1.477625, 1.413847, 1.344722, 1.278497, 1.213323, 1.150254, 
    1.104082, 1.081108, 1.070724, 1.084036, 1.122996, 1.170908, 1.225468, 
    1.284577, 1.338632, 1.38243, 1.416424, 1.43152, 1.415961, 1.379901, 
    1.333337, 1.277271, 1.21965, 1.167584, 1.117618, 1.074701, 1.047985, 
    1.03827, 1.043262, 1.060918, 1.08098, 1.099545, 1.123014, 1.154438, 
    1.189214, 1.223393, 1.255125, 1.283503, 1.312717, 1.348978, 1.379632, 
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    2.268629, 2.121096, 1.973317, 1.823789, 1.671161, 1.536975, 1.437633, 
    1.366282, 1.319181, 1.290385, 1.270141, 1.256189, 1.255932, 1.276414, 
    1.314843, 1.373917, 1.464484, 1.581945, 1.716708, 1.870021, 2.046739, 
    2.221512, 2.371347, 2.509997, 2.65735, 2.79396, 2.889623, 2.959738, 
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    1.773376, 1.732854, 1.703945, 1.682139, 1.660685, 1.630337, 1.582842,
  1.644176, 1.607087, 1.534309, 1.455482, 1.380003, 1.304876, 1.230302, 
    1.172879, 1.140101, 1.123764, 1.132525, 1.166788, 1.2099, 1.260012, 
    1.315222, 1.367326, 1.41093, 1.445781, 1.46218, 1.450022, 1.418658, 
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    1.377166, 1.30736, 1.261504, 1.231456, 1.210404, 1.198098, 1.202581, 
    1.230661, 1.278834, 1.348707, 1.453023, 1.585537, 1.734704, 1.901722, 
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    1.940473, 1.900497, 1.867681, 1.84307, 1.823415, 1.803412, 1.772364, 
    1.723117,
  1.765704, 1.725459, 1.646767, 1.561477, 1.479986, 1.398496, 1.316706, 
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    1.987607, 1.967197, 1.949442, 1.930291, 1.898841, 1.848195,
  1.871239, 1.829242, 1.747749, 1.659256, 1.574763, 1.490618, 1.405674, 
    1.336781, 1.294787, 1.270294, 1.267904, 1.289123, 1.317349, 1.351875, 
    1.393345, 1.434709, 1.471422, 1.502179, 1.518529, 1.511672, 1.488911, 
    1.460542, 1.426771, 1.391601, 1.359336, 1.329171, 1.305154, 1.294996, 
    1.295793, 1.303596, 1.314154, 1.321713, 1.325822, 1.330635, 1.335705, 
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    2.239543, 2.24353, 2.238017, 2.226646, 2.210372, 2.186241, 2.159359, 
    2.134533, 2.11181, 2.091892, 2.074984, 2.059477, 2.040825, 2.009275, 
    1.95713,
  1.937899, 1.89694, 1.816526, 1.730306, 1.647589, 1.565573, 1.482108, 
    1.413151, 1.370548, 1.345096, 1.339305, 1.354816, 1.375581, 1.401602, 
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    1.499394, 1.472827, 1.445405, 1.419584, 1.394819, 1.375958, 1.368451, 
    1.370548, 1.3772, 1.385058, 1.388968, 1.389081, 1.388498, 1.386666, 
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    1.401526, 1.252721, 1.151969, 1.095302, 1.066266, 1.058017, 1.066816, 
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    2.102243, 2.072483, 2.022119,
  1.965445, 1.927985, 1.853663, 1.774643, 1.699118, 1.623946, 1.546477, 
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    1.843825, 1.849483, 1.857944, 1.870358, 1.882613, 1.89802, 1.914479, 
    1.940888, 1.975648, 2.017303, 0.6109665, 0.9680229, 1.42982, 2.228772, 
    2.261061, 2.268253, 2.264896, 2.255751, 2.243803, 2.227303, 2.207852, 
    2.19, 2.174248, 2.158647, 2.144694, 2.130743, 2.114339, 2.087682, 2.042517,
  1.977485, 1.943524, 1.877199, 1.80662, 1.739395, 1.672518, 1.603289, 
    1.54367, 1.506059, 1.483153, 1.474609, 1.478624, 1.487838, 1.500904, 
    1.519023, 1.540291, 1.56241, 1.582424, 1.595178, 1.595021, 1.583658, 
    1.569148, 1.554333, 1.539719, 1.526853, 1.513986, 1.505473, 1.501766, 
    1.504068, 1.507779, 1.509085, 1.505543, 1.49785, 1.489109, 1.477121, 
    1.461187, 1.442152, 1.419614, 1.397378, 1.175392, 0.3438024, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7258644, 1.117684, 1.817372, 1.936002, 
    2.069101, 2.188471, 2.291288, 2.366806, 2.405518, 2.390317, 2.3068, 
    2.180574, 2.012547, 1.817135, 1.617225, 1.426407, 1.255036, 1.114969, 
    1.021893, 0.9778123, 0.9766774, 1.00618, 1.055218, 1.121753, 1.212088, 
    1.323074, 1.444227, 1.580796, 1.742888, 1.910637, 2.068203, 2.223333, 
    2.385525, 2.535422, 2.654868, 2.755418, 2.85093, 2.936654, 2.235047, 
    0.4469993, 0, 0, 0, 0, 0, 0, 0.5708013, 1.964465, 2.302508, 2.289545, 
    2.321342, 2.35839, 1.306744, 1.193787, 1.188072, 0.3547069, 0.9214825, 
    0.9048331, 0.7902256, 0.6784012, 0.1269331, 0.4324373, 0, 0, 0, 0, 0, 0, 
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    0.9167113, 0.9173077, 1.011306, 1.849045, 1.852997, 1.858353, 1.867062, 
    1.877666, 1.89127, 1.905225, 1.928883, 1.961187, 1.501063, 0.305876, 0, 
    0.3330382, 1.675321, 2.256267, 2.263327, 2.259636, 2.249039, 2.235994, 
    2.218947, 2.200045, 2.182545, 2.167145, 2.151745, 2.138245, 2.124793, 
    2.109242, 2.08583, 2.045914,
  1.976025, 1.946607, 1.889278, 1.828398, 1.770416, 1.713134, 1.653554, 
    1.599936, 1.564832, 1.542684, 1.532041, 1.5321, 1.536863, 1.54443, 
    1.556051, 1.571121, 1.588928, 1.605336, 1.615946, 1.617442, 1.609434, 
    1.598623, 1.588359, 1.578444, 1.570382, 1.562319, 1.558354, 1.556649, 
    1.557357, 1.558412, 1.557619, 1.552123, 1.542627, 1.531731, 1.516985, 
    1.496796, 1.4744, 1.450248, 0.7816861, 0.4909404, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3982527, 0.8027662, 1.557094, 
    1.708935, 1.787311, 1.881777, 1.995945, 2.108666, 2.208218, 2.281514, 
    2.31558, 2.297995, 2.21824, 2.09788, 1.937063, 1.749527, 1.558134, 
    1.378633, 1.221216, 1.093607, 1.011913, 0.9785275, 0.9880473, 1.029771, 
    1.092549, 1.174223, 1.279895, 1.404079, 1.534968, 1.677761, 1.841708, 
    2.007471, 2.158745, 2.302683, 2.449038, 2.582095, 2.685199, 2.767311, 
    2.839841, 2.899029, 2.93628, 1.887206, 1.419201, 0.9784148, 0, 0, 0, 
    0.3234717, 1.654825, 2.242889, 2.253693, 2.262022, 2.293578, 2.330381, 
    2.375977, 2.393255, 2.387519, 0.7137, 1.025247, 1.811408, 1.580311, 
    1.36177, 0.7614766, 1.053898, 0.6044596, 0.1799218, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.659639, 1.844642, 1.845245, 
    1.846197, 1.847503, 1.849254, 1.852258, 1.855962, 1.862218, 1.871721, 
    1.883777, 1.895485, 1.916841, 1.946752, 0.983528, 0, 0, 0, 0.5629865, 
    1.911792, 2.248018, 2.244656, 2.233804, 2.220153, 2.201957, 2.181916, 
    2.16382, 2.147476, 2.131232, 2.116787, 2.103339, 2.088486, 2.068527, 
    2.034457,
  1.966039, 1.941873, 1.89429, 1.843457, 1.795426, 1.748095, 1.697914, 
    1.650394, 1.616838, 1.594835, 1.582936, 1.580045, 1.580113, 1.58228, 
    1.587053, 1.355189, 0.8054268, 0.8130759, 1.548943, 1.629632, 1.623477, 
    1.616962, 1.611942, 1.607522, 1.603906, 1.600638, 1.599883, 1.599877, 
    1.599625, 1.599031, 1.59574, 1.588844, 1.5779, 1.56486, 1.548565, 
    1.527659, 1.505403, 1.482795, 0.1477393, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.719248, 1.779984, 1.857524, 1.954365, 2.062524, 2.160829, 2.232544, 
    2.262354, 2.239125, 2.157146, 2.036309, 1.877464, 1.698497, 1.520107, 
    1.357103, 1.220587, 1.112324, 1.044629, 1.022443, 1.040867, 1.089102, 
    1.157786, 1.246766, 1.360195, 1.489479, 1.623222, 1.767122, 1.930528, 
    2.092489, 2.236512, 2.368996, 2.497008, 2.60983, 2.6935, 2.754074, 
    2.800213, 2.830955, 2.842068, 2.827987, 2.65501, 0.990919, 0, 0, 0, 
    0.6498078, 2.163526, 2.182387, 2.214701, 2.24106, 2.270816, 2.30652, 
    2.352422, 2.376005, 2.38152, 0.7137, 0.09360161, 0.9068788, 0.7903298, 
    1.141612, 1.279364, 1.247104, 1.224697, 0.3647825, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8360737, 1.20408, 1.846, 
    1.846352, 1.846603, 1.847954, 1.849758, 1.852262, 1.856766, 1.864774, 
    1.875029, 1.883889, 1.901805, 1.928018, 1.462353, 0.2934394, 0, 0, 0, 
    0.7880148, 2.120161, 2.229142, 2.218294, 2.204645, 2.184454, 2.161811, 
    2.141323, 2.122582, 2.104687, 2.088493, 2.073849, 2.0592, 2.040998, 
    2.013775,
  1.95553, 1.935568, 1.896843, 1.855862, 1.817429, 1.779697, 1.739263, 
    1.698489, 1.66708, 1.646524, 1.63512, 1.628982, 1.624345, 1.621462, 
    1.619036, 1.376936, 0.8154837, 0.2452411, 0.7410458, 1.064592, 1.627745, 
    1.623893, 1.622043, 1.621339, 1.620735, 1.620483, 1.62103, 1.622129, 
    1.622476, 1.621424, 1.617817, 1.611061, 1.600701, 1.587542, 1.571733, 
    1.553273, 1.151496, 0.7545862, 0.07520191, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.030529, 1.030529, 1.030529, 1.970553, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 1.34387, 0.1030529, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5072557, 1.685614, 1.681095, 1.696933, 1.73172, 1.783245, 1.85226, 
    1.94127, 2.04807, 2.146017, 2.214225, 2.241332, 2.210909, 2.121587, 
    1.995161, 1.834866, 1.661347, 1.494809, 1.348552, 1.232533, 1.143867, 
    1.089574, 1.077642, 1.102178, 1.153821, 1.225517, 1.318212, 1.434665, 
    1.566266, 1.702258, 1.846655, 2.008955, 2.166921, 2.301312, 2.421013, 
    2.530423, 2.621793, 2.684064, 2.720101, 2.737453, 2.735428, 2.72148, 
    2.689629, 2.375661, 0, 0, 0, 0, 0.6435342, 2.148822, 2.171087, 2.199697, 
    2.223257, 2.25156, 2.285121, 2.329777, 2.35717, 2.371299, 0.7120611, 0, 
    0, 0, 0.4640471, 1.223615, 1.260061, 1.239705, 0.7961504, 0.5436724, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2787605, 
    0.9292016, 1.57096, 1.84605, 1.846654, 1.847507, 1.849407, 1.85271, 
    1.858964, 1.867272, 1.873479, 1.886794, 1.907965, 1.940329, 0.5869752, 0, 
    0, 0, 0, 1.117283, 2.214505, 2.203305, 2.189654, 2.168004, 2.143708, 
    2.12106, 2.10086, 2.08216, 2.065012, 2.048815, 2.03332, 2.01542, 1.993906,
  1.944049, 1.927934, 1.897403, 1.865622, 1.836441, 1.807612, 1.789739, 
    1.775776, 1.767721, 1.759392, 1.752018, 1.748388, 1.74705, 1.748502, 
    1.658046, 0.8226042, 0.8267329, 0.2486241, 0, 0.2462073, 0.8199357, 
    0.8181232, 1.542417, 1.622504, 1.622752, 1.623, 1.624, 1.625151, 
    1.625752, 1.625648, 1.623843, 1.619333, 1.611972, 1.601464, 0.8760627, 
    0.7878633, 0.3914646, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 0.2075, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.08793167, 1.13389, 1.720895, 1.7111, 
    1.717377, 1.741761, 1.786234, 1.850303, 1.93681, 2.043014, 2.140769, 
    2.207025, 2.233124, 2.198873, 2.102294, 1.97001, 1.809159, 1.641338, 
    1.486745, 1.356989, 1.260921, 1.190909, 1.149266, 1.144747, 1.171645, 
    1.224445, 1.296745, 1.389698, 1.505053, 1.634765, 1.770525, 1.912595, 
    2.070326, 2.21987, 2.34092, 2.444827, 2.535842, 2.606764, 2.650667, 
    2.668304, 2.66534, 2.640817, 2.609035, 2.569537, 2.385095, 0.8417807, 0, 
    0, 0.9720148, 1.38495, 2.140482, 2.167337, 2.194636, 2.216736, 2.242996, 
    1.481377, 1.167244, 1.533071, 2.364496, 1.504516, 0.1134026, 0, 0, 0, 
    1.1615, 1.2659, 1.2465, 1.2306, 1.0947, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6506116, 1.021101, 1.846, 1.846252, 
    1.847556, 1.850157, 1.855161, 1.861517, 1.866121, 1.874192, 1.887972, 
    1.914846, 1.256813, 0.8908854, 0, 0, 0, 0.2199567, 2.197016, 2.186063, 
    2.172663, 2.150516, 2.125566, 2.102318, 2.08187, 2.062673, 2.044877, 
    2.02758, 2.010636, 1.992637, 1.974429,
  1.930051, 1.918136, 1.897297, 1.890349, 1.884958, 1.880609, 1.901455, 
    1.920486, 1.942777, 1.952479, 1.954536, 1.957767, 1.948267, 1.941229, 
    0.9466169, 0, 0, 0, 0, 0, 0, 0, 1.460203, 1.622, 1.622252, 1.622851, 
    1.623553, 1.624653, 1.625252, 1.625851, 1.62495, 1.622743, 1.216671, 
    0.8091838, 0.0807824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7209761, 1.970497, 
    2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 
    2.075, 0.2075, 0, 0, 0, 0, 0, 0.5132456, 1.023712, 1.013437, 0.6994337, 
    0, 0, 0.9030398, 1.775754, 1.750643, 1.738158, 1.737778, 1.753952, 
    1.791975, 1.851339, 1.934407, 2.039312, 2.136511, 2.202209, 2.230345, 
    2.194508, 2.093022, 1.957231, 1.79653, 1.635651, 1.493705, 1.379748, 
    1.302184, 1.248331, 1.218739, 1.220661, 1.248109, 1.300413, 1.372217, 
    1.463278, 1.574503, 1.699227, 1.831045, 1.968458, 2.120318, 2.263221, 
    2.375829, 2.469196, 2.546378, 2.599583, 2.627741, 2.633142, 2.617844, 
    2.583388, 2.544919, 2.502239, 2.44773, 2.027024, 1.140408, 1.109038, 
    2.06844, 2.143985, 2.144489, 2.168456, 2.196204, 2.219445, 1.683844, 
    0.3410085, 0, 0.3565707, 1.191087, 1.163287, 0.1150293, 0, 0, 0, 
    0.5849673, 0.8242804, 1.2465, 1.2306, 1.155108, 0.6030388, 0.3003033, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09297027, 
    0.9297027, 0.9297026, 0.9300552, 0.9312639, 0.9334799, 0.9362499, 
    0.9383147, 0.9408329, 0.9455671, 0.9574024, 0.9769936, 0.9036649, 0, 0, 
    0, 0.1102952, 1.423688, 2.167569, 2.154665, 2.132065, 2.107065, 2.083317, 
    2.062021, 2.042173, 2.023426, 2.004583, 1.986436, 1.968684, 1.952478,
  1.916549, 1.908486, 1.89636, 1.915121, 1.941379, 1.979116, 2.03263, 
    2.069268, 2.107013, 2.12902, 2.031375, 1.044484, 1.032746, 1.021361, 
    0.1018641, 0, 0, 0, 0, 0, 0, 0, 0.7354162, 0.8171292, 0.8171291, 
    0.8174818, 0.8176833, 0.8182878, 0.8186405, 0.8189932, 0.8186405, 
    0.8179855, 0.4088165, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.4525, 2.075, 
    2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 
    2.075, 0.2075, 0, 0, 0, 0, 0, 1.033752, 2.062251, 2.041799, 1.702615, 
    0.9646541, 0.938652, 1.743806, 1.803491, 1.779146, 1.763902, 1.759015, 
    1.767497, 1.797733, 1.849674, 1.92432, 2.019339, 2.109445, 2.172913, 
    2.096822, 1.104988, 1.052898, 0.98388, 1.685861, 1.632225, 1.508188, 
    1.413203, 1.352889, 1.313088, 1.294201, 1.301589, 1.330827, 1.381585, 
    1.451694, 1.539308, 1.643585, 1.76171, 1.888281, 2.022541, 2.172446, 
    2.314896, 2.426296, 2.517396, 2.587119, 2.623688, 2.635451, 2.625862, 
    2.595967, 2.549462, 2.502395, 2.454265, 2.401165, 2.345636, 2.286335, 
    2.230529, 2.181644, 2.148332, 2.147489, 2.167998, 2.193765, 2.216329, 
    1.113767, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.06192841, 0.807317, 1.240297, 
    0.8030558, 0.6127965, 0.6120409, 0.3047862, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.983324, 1.964923, 1.948218, 1.933909,
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    1.530945, 1.614512, 1.71169, 1.823067, 1.943047, 2.071433, 2.214979, 
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    1.984869, 2.102371, 2.233029, 2.355282, 2.449574, 2.52496, 2.575548, 
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    2.303059, 2.264121, 2.231119, 2.201623, 2.174821, 2.156137, 2.158236, 
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    0.9640349, 1.821542, 1.926868, 1.932321, 1.935674, 1.938918, 1.940202, 
    1.940534, 1.939813, 1.939345, 1.937989, 1.939483, 1.945177, 1.954772, 
    1.969014, 1.98696, 2.007368, 2.031732, 2.060644, 2.091764, 2.123939, 
    2.156768, 2.184794, 2.204108, 2.21853, 2.235281, 2.252631, 2.278122, 
    2.299735, 2.357595, 2.437172, 1.920628, 1.418936, 1.400201, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.973015, 2.103663, 2.028922, 1.968022, 2.109631, 
    3.690162, 3.601113, 3.50228, 3.387807, 3.25172, 3.144852, 3.041113, 
    2.912825, 2.376737, 1.380873, 1.323088, 1.254872, 1.185569, 1.140388, 
    1.091402, 1.042563, 1.032924, 0.5150779, 0, 0, 0, 0, 0.7179948, 
    0.9231362, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  3.969264, 4.076709, 4.220176, 4.251972, 4.233029, 4.20544, 4.163251, 
    4.109563, 4.057562, 4.015024, 3.957762, 3.904391, 3.857701, 2.4495, 
    1.651165, 0, 0, 0, 0, 0, 0, 0, 0.1886114, 1.888338, 1.896983, 1.904936, 
    1.912346, 1.920448, 1.91946, 1.870059, 1.761872, 1.648399, 1.546485, 
    2.48079, 2.745981, 2.544269, 2.353692, 1.419364, 1.027878, 1.025062, 
    1.025062, 1.025062, 1.025062, 1.025062, 1.025062, 1.025062, 1.025062, 
    1.025062, 1.550031, 2.075, 2.075, 1.4525, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1049938, 1.049938, 
    1.049938, 1.049938, 0.944944, 0, 0, 0, 0, 0, 0, 0, 1.026257, 2.069376, 
    2.066723, 2.063716, 2.059913, 2.055106, 2.04844, 2.040357, 2.034892, 
    2.029882, 1.013187, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.6594484, 1.819541, 1.927864, 1.934151, 1.937646, 
    1.941298, 1.943998, 1.946145, 1.947592, 1.947704, 1.945768, 1.946928, 
    1.952288, 1.962685, 1.977782, 1.996922, 2.017808, 2.04323, 2.074291, 
    2.106802, 2.136901, 2.164483, 2.187169, 2.203886, 2.215694, 2.242916, 
    2.279289, 2.336925, 2.393852, 2.498102, 2.630757, 2.793941, 3.015293, 
    3.163534, 1.907258, 2.073096, 2.220952, 0.2255631, 0, 0, 0, 0, 0.740416, 
    2.437425, 2.365646, 4.310577, 4.358256, 4.213428, 4.095218, 4.019797, 
    3.970681, 3.889538, 3.796849, 3.687857, 3.565484, 3.476298, 3.392703, 
    3.258755, 3.075684, 2.918977, 2.788196, 2.640711, 2.488803, 2.376902, 
    2.251768, 2.121598, 2.09044, 1.555519, 1.025507, 1.025062, 1.025062, 
    1.025062, 1.760019, 1.04745, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7120107, 1.013058, 1.006586, 1.001844, 
    0.9981389, 0.9959653, 0.9953725, 1.001597, 1.02857, 1.110525, 1.233878, 
    1.367408, 1.507508, 1.651462, 1.791562,
  3.822597, 3.928669, 2.513954, 4.11319, 4.095957, 4.059151, 4.011496, 
    3.954468, 3.898659, 3.849868, 3.795841, 3.749773, 3.715811, 3.685287, 
    3.459102, 1.76011, 1.76707, 1.781288, 1.803354, 1.826162, 1.845316, 
    1.862397, 2.072648, 3.830448, 3.851848, 3.869775, 3.872433, 3.87116, 
    3.854399, 3.746896, 3.527451, 3.297801, 3.091007, 2.896131, 2.692642, 
    2.500035, 2.320222, 2.163181, 2.080305, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 2.075, 1.153083, 1.050647, 1.050647, 1.050647, 1.050647, 
    0.7354531, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1024353, 1.024353, 1.024353, 
    1.024353, 1.968924, 2.072387, 2.070234, 2.068427, 2.065419, 2.061416, 
    2.056956, 2.05284, 2.04943, 1.742269, 0.5157033, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.675908, 1.068894, 
    1.940481, 1.948918, 1.953509, 1.957305, 1.960153, 1.962899, 1.964599, 
    1.964094, 1.960302, 1.959664, 1.963918, 1.974667, 1.990707, 2.011892, 
    2.035868, 2.066778, 2.105028, 2.145221, 2.180506, 2.211774, 2.239273, 
    2.26336, 2.28463, 2.336256, 2.401082, 2.484233, 2.568074, 2.704186, 
    2.870721, 3.059777, 3.294075, 3.625521, 3.970838, 4.290543, 4.573503, 
    2.664808, 2.542863, 2.607533, 2.638338, 2.620961, 3.309214, 4.982872, 
    4.84636, 4.703256, 4.537498, 4.404974, 4.296267, 4.224542, 4.178273, 
    4.104328, 4.018137, 3.915549, 3.804434, 3.727865, 3.657943, 3.522362, 
    3.319229, 3.140556, 2.979462, 1.671383, 2.612106, 2.451462, 2.277102, 
    2.095944, 2.04687, 2.037317, 2.033, 2.040542, 2.051847, 2.061918, 
    2.072334, 0.2075, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.9219175, 1.024353, 1.024353, 1.024353, 1.024057, 1.020502, 1.014973, 
    1.736462, 2.036433, 2.02042, 2.00776, 1.998236, 1.990973, 1.987897, 
    2.000595, 2.052875, 2.209642, 2.444631, 2.699381, 2.96743, 3.243477, 
    3.514489,
  3.585491, 3.687028, 2.228531, 3.878963, 3.87369, 3.845337, 3.808503, 
    3.761995, 3.713509, 3.669588, 3.617837, 3.571805, 3.536783, 3.50947, 
    3.483941, 3.471133, 3.480843, 3.504562, 3.544181, 3.587915, 3.625531, 
    3.659292, 3.692951, 3.724158, 3.749311, 3.769555, 3.76143, 3.744545, 
    3.714717, 3.607459, 3.402062, 3.187556, 2.993279, 2.808466, 2.615658, 
    2.446165, 2.289181, 2.151817, 2.079604, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 1.358503, 0.1051433, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3070702, 1.023567, 1.023567, 1.128711, 2.075, 2.075, 2.075, 2.0749, 
    2.073696, 2.072487, 2.071287, 2.069429, 2.066715, 2.063953, 2.061546, 
    1.957675, 0.7281994, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1946946, 1.949798, 1.9592, 1.964746, 
    1.968402, 1.971205, 1.97396, 1.976005, 1.975609, 1.97106, 1.96946, 
    1.97346, 1.984802, 2.002836, 2.026419, 2.054194, 2.091944, 2.139276, 
    2.188958, 2.235131, 2.279985, 2.324414, 2.366542, 2.409686, 2.48811, 
    2.578747, 2.68391, 2.782532, 2.923862, 3.092113, 3.275192, 3.492965, 
    3.797181, 4.116553, 4.414378, 4.674066, 4.946323, 5.162937, 5.289646, 
    5.350517, 5.318227, 5.184943, 5.059638, 4.93924, 4.811643, 4.661597, 
    4.541015, 4.442142, 4.375254, 4.332674, 4.265334, 4.185739, 4.090134, 
    3.989562, 3.923099, 3.858456, 3.714203, 3.493416, 3.293468, 2.033945, 
    0.2887766, 1.713066, 2.438221, 2.219214, 2.006135, 1.941662, 1.924667, 
    1.919496, 1.934216, 1.955291, 1.974014, 1.99171, 1.047318, 0.938673, 
    0.4681279, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.7164972, 1.023567, 1.023567, 1.023567, 1.023567, 1.023567, 
    1.023567, 1.023567, 1.023567, 0.1023567, 0, 0, 0, 0.1023567, 1.023567, 
    1.023567, 1.023567, 1.969857, 2.075, 2.075, 2.074309, 2.070947, 2.060688, 
    2.047121, 2.027953, 2.007544, 1.986226, 1.968748, 1.954781, 1.943545, 
    1.938347, 1.950062, 1.997151, 2.136904, 2.344028, 2.569066, 2.807403, 
    3.054631, 3.301238,
  3.379356, 3.470811, 3.602794, 3.650505, 3.64967, 3.62537, 3.590971, 
    3.547688, 3.500952, 3.457025, 3.408923, 3.364629, 3.330831, 3.303343, 
    3.281964, 3.270947, 3.276491, 3.292232, 3.321555, 3.358516, 3.392452, 
    3.423233, 3.458056, 3.491516, 3.519373, 3.543031, 3.542055, 3.533817, 
    3.511588, 3.422444, 3.247863, 3.060248, 2.889403, 2.726267, 2.55483, 
    2.404115, 2.264903, 2.143202, 2.079103, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 0.6225, 0, 0, 0, 0, 0, 0.3068079, 1.022693, 1.022693, 
    1.022693, 1.022693, 1.022693, 1.022693, 1.022693, 1.022693, 1.022693, 
    1.022693, 1.022693, 1.022693, 1.022693, 1.022693, 0.1022693, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1022693, 1.338385, 2.075, 2.075, 
    2.075, 2.075, 2.075, 2.075, 2.07495, 2.074493, 2.074239, 2.073286, 
    2.072429, 2.071027, 2.069472, 2.067916, 1.859918, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09894222, 
    1.281335, 1.965218, 1.970082, 1.972936, 1.975093, 1.977247, 1.979055, 
    1.978651, 1.974248, 1.973239, 1.977831, 1.990421, 2.011101, 2.037921, 
    2.069987, 2.114592, 2.171183, 2.230715, 2.288481, 2.348171, 2.410247, 
    2.470765, 2.535818, 2.629194, 2.73096, 2.845376, 2.943712, 3.074822, 
    3.230641, 3.397879, 3.594547, 3.868888, 4.172676, 4.455068, 4.700675, 
    4.962267, 5.16554, 5.280496, 5.334177, 5.303842, 5.186064, 5.074678, 
    4.967493, 4.853799, 4.718441, 4.609561, 4.520646, 4.459652, 4.420732, 
    4.358897, 4.289991, 4.208743, 4.112854, 4.046718, 3.973978, 3.81321, 
    3.572722, 3.349789, 2.031696, 1.401459, 1.289296, 1.22803, 1.105759, 
    0.9911465, 0.9536184, 1.369536, 1.796054, 1.80812, 1.825841, 1.841067, 
    1.853148, 1.84987, 1.841193, 1.350684, 0.861625, 0.8508806, 0.8460997, 
    0.8395939, 0.8348132, 0.8309688, 0.5796081, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5113465, 1.022693, 1.022693, 1.022693, 1.022693, 1.022693, 0.2045386, 
    1.022693, 1.022693, 1.759308, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 0.3097693, 1.022693, 1.022693, 1.022693, 1.127924, 2.075, 
    2.075, 2.075, 2.075, 2.074704, 2.073275, 2.069756, 2.061091, 2.046016, 
    2.028143, 2.005015, 1.980086, 1.954956, 1.934721, 1.918321, 1.905578, 
    1.900128, 1.910236, 1.952218, 2.07638, 2.259931, 2.459692, 2.672408, 
    2.894133, 3.118238,
  3.17172, 3.24986, 3.363251, 3.401825, 3.397562, 3.370554, 3.334478, 
    3.300416, 3.261334, 3.223317, 3.186007, 3.150471, 3.124453, 3.103691, 
    3.087739, 3.079958, 3.083347, 3.092701, 3.113059, 3.143296, 3.173514, 
    3.200932, 3.235909, 3.27088, 3.302567, 3.332468, 3.341546, 3.344519, 
    3.332547, 3.262067, 3.116029, 2.953916, 2.805332, 2.660646, 2.506578, 
    2.371021, 2.245629, 2.136349, 2.078703, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 1.337699, 1.021713, 1.021713, 1.021713, 1.021713, 1.021713, 
    1.337699, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 2.075, 2.075, 2.075, 1.127041, 1.021713, 1.021713, 
    1.021713, 1.021713, 1.021713, 1.021713, 1.021713, 1.021713, 1.021713, 
    1.021713, 1.021713, 1.021713, 1.021713, 1.021713, 1.021713, 1.127041, 
    2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 
    2.074645, 2.074442, 2.073833, 2.073224, 2.072614, 1.86481, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2992352, 0.9987196, 1.681431, 1.974442, 1.975305, 1.976269, 1.977223, 
    1.976236, 1.972086, 1.97203, 1.97792, 1.9925, 2.016028, 2.046947, 
    2.08381, 2.134712, 2.199304, 2.267495, 2.33602, 2.409774, 2.487223, 
    2.563622, 2.64183, 2.737472, 2.839451, 2.953292, 3.047221, 3.171461, 
    3.319357, 3.476221, 3.660385, 3.920647, 4.211161, 4.468, 4.693986, 
    4.938401, 5.121231, 5.219177, 5.259346, 5.223761, 5.114072, 5.01473, 
    4.917176, 4.814213, 4.702516, 4.612167, 4.538651, 4.49055, 4.461174, 
    4.407881, 4.35111, 4.283364, 4.183611, 4.094594, 3.996811, 3.808984, 
    3.542753, 3.296776, 3.053901, 2.780277, 2.131742, 0.5662503, 0, 0, 0, 
    0.8490658, 1.701631, 1.711547, 1.726762, 1.73967, 1.748043, 1.742158, 
    1.730627, 1.715746, 1.699109, 1.675782, 1.665491, 1.651799, 1.641606, 
    1.633363, 1.369411, 0.7681309, 0.7696573, 0.7716269, 0.541483, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9195413, 
    1.021713, 1.021713, 1.021713, 1.021713, 1.021713, 1.548356, 2.075, 2.075, 
    2.075, 2.075, 2.075, 1.23237, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 2.075, 2.075, 2.075, 1.23237, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 2.074655, 2.073523, 2.071643, 2.067315, 2.060187, 2.047657, 
    2.029134, 2.008152, 1.98296, 1.955673, 1.928975, 1.907675, 1.891275, 
    1.878075, 1.872427, 1.881436, 1.918822, 2.029458, 2.193247, 2.371847, 
    2.563392, 2.751076, 2.942855,
  2.935511, 3.001414, 3.09602, 3.122733, 3.110967, 3.084364, 3.055813, 
    3.041759, 3.018741, 2.996066, 2.973936, 2.950776, 2.935277, 2.923644, 
    2.915719, 2.913757, 2.917016, 2.924487, 2.939462, 2.964852, 2.992327, 
    3.017003, 3.048284, 3.079966, 3.110695, 3.142469, 3.159468, 3.171453, 
    3.168287, 3.116029, 2.997481, 2.863599, 2.739202, 2.612406, 2.474371, 
    2.349168, 2.233065, 2.131674, 2.078402, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 1.360577, 1.054395, 1.054395, 
    1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 
    1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 
    1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 
    1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 
    1.564698, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 2.075, 2.075, 2.075, 1.768818, 1.054395, 1.054395, 
    0.9489554, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.382844, 1.974459, 1.972885, 1.972295, 
    1.97206, 1.969373, 1.964634, 1.964835, 1.97237, 1.989549, 2.015975, 
    2.0505, 2.092013, 2.148868, 2.220663, 2.296551, 2.374182, 2.458907, 
    2.548321, 2.636241, 2.721717, 2.821507, 2.927367, 3.043537, 3.137308, 
    3.260236, 3.399429, 3.543717, 3.711861, 3.950648, 4.213623, 4.437505, 
    4.631677, 4.842205, 4.995446, 5.084236, 5.119781, 5.098571, 5.013703, 
    4.935013, 4.854246, 4.768233, 4.683904, 4.616002, 4.561422, 4.529718, 
    4.50498, 4.452912, 4.3956, 4.324112, 4.213736, 4.099835, 3.97789, 
    3.765201, 3.478055, 3.215489, 2.959567, 2.675358, 2.391484, 1.618986, 
    0.9203153, 0.08927221, 0, 0.4207417, 0.8432618, 0.9263833, 1.643202, 
    1.657127, 1.664075, 1.656535, 1.643096, 1.626405, 1.607971, 1.585284, 
    1.577139, 1.56284, 1.552042, 1.543588, 1.533042, 1.524094, 1.526014, 
    1.528686, 1.29182, 0.733606, 0.7400494, 0.7556413, 0.7756599, 0.394716, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9489554, 1.054395, 
    1.564698, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 1.156456, 
    1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 1.054395, 
    1.156406, 2.074361, 2.073524, 2.071644, 2.068508, 2.064078, 2.057098, 
    2.047317, 2.03263, 2.011691, 1.989393, 1.963938, 1.93623, 1.91007, 
    1.88936, 1.872862, 1.859563, 1.854058, 1.861376, 1.894261, 1.993603, 
    2.140971, 2.294373, 2.452123, 2.595438, 2.746892,
  2.659186, 2.711121, 2.789193, 2.814393, 2.807169, 2.792957, 2.78211, 
    2.786305, 2.776354, 2.76676, 2.758311, 2.750215, 2.747154, 2.746549, 
    2.749195, 2.755958, 2.765295, 2.777788, 2.793596, 2.814334, 2.834584, 
    2.852723, 2.87598, 2.900031, 2.923724, 2.948817, 2.963957, 2.975732, 
    2.974521, 2.932318, 2.834867, 2.72205, 2.616434, 2.505563, 2.388097, 
    2.280197, 2.180366, 2.094879, 2.053934, 2.057315, 2.06321, 2.069105, 
    2.074558, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 1.33604, 0.2038687, 
    1.019343, 1.019343, 1.019343, 1.019343, 1.019343, 1.019343, 1.019343, 
    1.019343, 1.019343, 1.019343, 1.019343, 1.019343, 1.019343, 1.019343, 
    1.019343, 0.1019343, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0375, 
    2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 1.769197, 1.055657, 1.055657, 
    1.055657, 1.055657, 1.055657, 1.055657, 1.055657, 0.7389597, 0, 0, 0, 0, 
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    1.959347, 1.952719, 1.951886, 1.959452, 1.978689, 2.008308, 2.045833, 
    2.091402, 2.153018, 2.230281, 2.312193, 2.396205, 2.488602, 2.586153, 
    2.682001, 2.774704, 2.88125, 2.992843, 3.113791, 3.213026, 3.341305, 
    3.478537, 3.617774, 3.777311, 3.991382, 4.223034, 4.41386, 4.57111, 
    4.738065, 4.857003, 4.942866, 4.979361, 4.977706, 4.928874, 4.876719, 
    4.820375, 4.758481, 4.695205, 4.641079, 4.592319, 4.56427, 4.532625, 
    4.471544, 4.405207, 4.322826, 4.200305, 4.076078, 3.943452, 3.71943, 
    3.42195, 3.150613, 2.886963, 2.594116, 2.303207, 2.058551, 1.824726, 
    0.8637477, 0.7394783, 0.729506, 0.7281304, 0.8147833, 1.560351, 1.578209, 
    1.586979, 0.9741979, 1.569002, 1.55406, 1.537706, 1.520401, 1.515346, 
    1.500946, 1.49039, 1.481945, 1.47139, 1.461701, 1.461467, 1.46149, 
    1.46166, 1.462025, 1.473258, 1.500979, 1.537061, 1.163323, 0.7722446, 
    0.7843294, 0.7891436, 0.791649, 0.7982809, 0.7289656, 0, 0, 0, 0, 0, 0, 
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    2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 
    2.075, 2.075, 2.075, 1.124909, 1.019343, 1.019343, 1.019343, 1.018852, 
    1.018213, 1.01787, 1.017182, 1.120928, 2.068493, 2.065614, 2.061679, 
    2.056598, 2.05021, 2.04142, 2.029831, 2.013349, 1.992092, 1.969692, 
    1.944149, 1.91631, 1.889877, 1.868254, 1.850819, 1.83678, 1.830941, 
    1.836797, 1.863371, 1.941005, 2.058408, 2.177145, 2.292015, 2.393995, 
    2.510185,
  2.373985, 2.412591, 2.475448, 2.510765, 2.520533, 2.52363, 2.52756, 
    2.537621, 2.538476, 2.538986, 2.540653, 2.544192, 2.549701, 2.556967, 
    2.5666, 2.579037, 2.592381, 2.607837, 2.62545, 2.642871, 2.656192, 
    2.667426, 2.682905, 2.698505, 2.714353, 2.7316, 2.738311, 2.74267, 
    2.736815, 2.694521, 2.60817, 2.508988, 2.41622, 2.318896, 2.221059, 
    2.135263, 2.055927, 1.990604, 1.964978, 1.973953, 1.987964, 2.005753, 
    2.023524, 2.030998, 2.037718, 2.044782, 2.052582, 2.062001, 2.071076, 
    2.075, 1.229313, 2.075, 2.075, 1.362476, 1.057109, 1.362476, 2.075, 
    2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 2.075, 1.123602, 
    1.017892, 1.017892, 1.017892, 1.017892, 1.017892, 0.5089458, 0, 0, 0, 0, 
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    1.924247, 1.926867, 1.927505, 1.923137, 1.924378, 1.932989, 1.954363, 
    1.98645, 2.026529, 2.074665, 2.139246, 2.219627, 2.304463, 2.391742, 
    2.487928, 2.589555, 2.689632, 2.786553, 2.897725, 3.014489, 3.140255, 
    3.244677, 3.379334, 3.52279, 3.667113, 2.498715, 2.053185, 2.163735, 
    2.252787, 2.324008, 2.623311, 4.704636, 4.770844, 4.800083, 4.801823, 
    4.78384, 4.758012, 4.727286, 4.692039, 4.654539, 4.618869, 4.582142, 
    4.553202, 4.516636, 4.449869, 4.377514, 4.288612, 4.15955, 4.029039, 
    3.890127, 3.653482, 3.349971, 3.074039, 2.80685, 2.510263, 2.215737, 
    1.968096, 1.733041, 1.526347, 1.458698, 1.438153, 1.435451, 1.449, 
    1.476377, 1.499963, 1.51272, 0.8818079, 1.504665, 1.494765, 1.484508, 
    1.474186, 1.469435, 1.455378, 1.445178, 1.436478, 1.426178, 1.415633, 
    1.413844, 1.411906, 1.410122, 1.408935, 1.417205, 1.438303, 1.465727, 
    1.502416, 1.532805, 1.553382, 1.558326, 1.55803, 1.566821, 1.502541, 
    0.7588811, 0.3828744, 0, 0, 0, 0.4417404, 0.897903, 0.9199286, 0.9295434, 
    0.9315547, 0.9328791, 1.038198, 1.988516, 1.989399, 1.992686, 1.995972, 
    1.998425, 2.000191, 2.00127, 2.001516, 2.002546, 2.00338, 2.004214, 
    2.004851, 2.005636, 2.006568, 2.0075, 2.007893, 2.008776, 2.009511, 
    2.011278, 2.011817, 2.013289, 2.015643, 2.018342, 2.020677, 2.024479, 
    2.029077, 2.032975, 2.034231, 2.035531, 2.034718, 2.032518, 2.02882, 
    2.023682, 2.015557, 2.003946, 1.986593, 1.965693, 1.943293, 1.917736, 
    1.889334, 1.86164, 1.838538, 1.81965, 1.804753, 1.797665, 1.80135, 
    1.819431, 1.866452, 1.941811, 2.022908, 2.102922, 2.179394, 2.264419,
  2.119035, 2.14645, 2.192818, 2.229827, 2.251771, 2.267773, 2.283266, 
    2.295012, 2.304881, 2.313365, 2.32216, 2.330478, 2.339452, 2.348797, 
    2.359348, 2.371713, 2.384482, 2.398652, 2.41467, 2.429305, 2.440085, 
    2.448065, 2.460251, 2.471828, 2.483464, 2.496156, 2.497988, 2.496005, 
    2.484668, 2.441089, 2.365087, 2.279353, 2.199075, 2.114939, 2.031883, 
    1.961329, 1.896969, 1.845909, 1.830237, 1.837543, 1.852713, 1.876268, 
    1.900037, 1.913652, 1.926519, 1.939401, 1.952901, 1.971905, 1.997702, 
    2.013342, 2.021717, 2.031316, 2.040474, 1.308473, 0.2002041, 1.328699, 
    2.075, 2.075, 2.075, 2.075, 2.075, 1.363658, 1.058798, 1.058798, 
    1.058798, 1.058798, 1.058798, 1.058798, 1.058798, 1.058798, 1.058798, 
    1.058798, 0.5293989, 0, 0, 0, 0, 0, 0, 0, 0, 0.7411584, 1.058798, 
    1.058798, 1.566899, 2.075, 1.97338, 0.7411584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.608508, 1.81505, 1.835516, 1.851483, 
    1.862933, 1.86478, 1.870943, 1.883063, 1.907087, 1.940426, 1.981626, 
    2.030869, 2.096616, 2.178016, 2.263371, 2.351526, 2.448916, 2.552305, 
    2.653851, 2.752938, 2.865785, 2.984485, 3.11233, 3.218475, 1.883524, 
    1.800568, 1.874965, 0.5731285, 0, 0, 0, 0, 0.4418428, 4.428243, 4.465502, 
    4.487502, 4.498035, 4.501856, 4.490123, 4.473491, 4.453113, 4.431275, 
    4.409685, 4.387052, 4.359567, 4.323909, 4.270346, 4.210483, 4.13534, 
    4.020352, 3.903032, 3.772856, 3.537846, 3.247134, 2.982281, 2.716587, 
    2.421785, 2.128091, 1.882342, 1.649892, 1.441766, 1.366518, 1.342975, 
    1.340375, 1.356332, 1.388759, 1.417913, 1.436197, 1.440272, 1.440163, 
    1.435902, 1.431983, 1.428962, 1.427886, 1.417369, 1.408639, 1.400331, 
    1.389786, 1.379328, 1.376586, 1.373349, 1.370112, 1.36738, 1.373062, 
    1.389162, 1.409721, 1.43785, 1.460365, 1.473729, 1.470592, 1.461852, 
    1.461883, 1.402306, 0.7893784, 0.398261, 0, 0, 0, 0.4594927, 1.508203, 
    1.79229, 1.813849, 1.821377, 1.827162, 1.827978, 1.827639, 1.831692, 
    1.840988, 1.850234, 1.857487, 1.862018, 1.865148, 1.865942, 1.868189, 
    1.870476, 1.872079, 1.872742, 1.873558, 1.874528, 1.875497, 1.875073, 
    1.876187, 1.876855, 1.879279, 1.880086, 1.883673, 1.890824, 1.898332, 
    1.906189, 1.918962, 1.932588, 1.945514, 1.956516, 1.96728, 1.973015, 
    1.975963, 1.977165, 1.97671, 1.971575, 1.96224, 1.946264, 1.926197, 
    1.904727, 1.879772, 1.851962, 1.824599, 1.802186, 1.782931, 1.767831, 
    1.760131, 1.761196, 1.772105, 1.797992, 1.838663, 1.886028, 1.934779, 
    1.989938, 2.046082,
  1.896711, 1.913279, 1.943312, 1.97096, 1.99425, 2.014661, 2.035461, 
    2.052508, 2.066994, 2.079723, 2.092103, 2.103371, 2.113916, 2.123418, 
    2.133673, 2.144247, 2.155216, 2.167243, 2.180583, 2.191577, 2.199118, 
    2.203858, 2.212352, 2.220499, 2.228297, 2.236795, 2.234454, 2.226612, 
    2.210011, 2.166388, 2.102624, 2.032371, 1.966438, 1.897005, 1.830161, 
    1.776255, 1.728897, 1.694839, 1.689589, 1.696394, 1.710349, 1.733405, 
    1.757134, 1.770718, 1.783549, 1.795338, 1.805849, 1.823867, 1.855605, 
    1.877201, 1.891417, 1.908133, 1.925563, 1.942992, 1.127448, 1.984487, 
    1.995329, 1.994987, 1.994938, 1.995818, 1.995574, 1.252435, 0.9325851, 
    0.9303856, 0.9272085, 0.9240316, 0.9213432, 0.6435717, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.032368, 2.071921, 1.968921, 1.010985, 
    0.9978367, 0.9829779, 0.9507186, 0.6432295, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 1.467251, 1.679395, 1.717549, 1.747676, 1.770039, 1.777765, 
    1.787867, 1.803226, 1.829455, 1.86399, 1.905533, 1.955133, 2.020984, 
    2.101944, 2.187044, 2.274602, 2.371964, 2.476402, 2.578544, 2.677902, 
    2.790657, 2.908331, 3.035844, 2.076223, 0.1642562, 0, 0, 0, 0, 0, 0, 0, 
    0.4032938, 4.041152, 4.072003, 4.097955, 4.120707, 4.132955, 4.120111, 
    4.102366, 4.080866, 4.05832, 4.035877, 4.012035, 3.983249, 3.950253, 
    3.911666, 3.867464, 3.81044, 3.728467, 3.642903, 3.53984, 3.333275, 
    3.07445, 2.834955, 2.586314, 2.31215, 2.039175, 1.801398, 1.577263, 
    1.373095, 1.294653, 1.266884, 1.259836, 1.270402, 1.299505, 1.327288, 
    1.347666, 1.355075, 1.35812, 1.356333, 1.355247, 1.355209, 1.359033, 
    1.354766, 1.350156, 1.345335, 1.338152, 1.330741, 1.330329, 1.330046, 
    1.329372, 1.326994, 1.329921, 1.341712, 1.35682, 1.37794, 1.394161, 
    1.401819, 1.19561, 0.7256821, 0.7236372, 0.6531906, 0, 0, 0.4673679, 
    0.6808653, 0.6994877, 0.7207006, 1.341323, 1.634634, 1.660727, 1.67476, 
    1.68635, 1.691343, 1.694898, 1.70208, 1.713493, 1.725589, 1.734065, 
    1.738636, 1.741465, 1.742028, 1.743255, 1.744737, 1.745504, 1.745504, 
    1.745504, 1.745504, 1.745846, 1.744097, 1.742738, 1.742293, 1.742907, 
    1.744091, 1.747949, 1.757305, 1.767002, 1.777735, 1.796144, 1.815448, 
    1.834394, 1.852347, 1.8694, 1.880746, 1.88825, 1.894636, 1.89894, 
    1.896811, 1.890139, 1.87715, 1.85927, 1.839698, 1.816269, 1.789947, 
    1.764322, 1.743109, 1.724695, 1.71023, 1.703019, 1.702831, 1.709315, 
    1.724994, 1.744415, 1.768246, 1.793492, 1.823223, 1.854264,
  1.70969, 1.717818, 1.733374, 1.748666, 1.763185, 1.778062, 1.793791, 
    1.807675, 1.819849, 1.831306, 1.842705, 1.853649, 1.863279, 1.87185, 
    1.880826, 1.889936, 1.898865, 1.908495, 1.917752, 1.92407, 1.927332, 
    1.928477, 1.932587, 1.936051, 1.939555, 1.944099, 1.937246, 1.92543, 
    1.905703, 1.868321, 1.822115, 1.770818, 1.722581, 1.670843, 1.623474, 
    1.58975, 1.561798, 1.546463, 1.547908, 1.553923, 1.567282, 1.590082, 
    1.614733, 1.628594, 1.64205, 1.653765, 1.662254, 1.678722, 1.708137, 
    1.726369, 1.735228, 1.74727, 1.762785, 1.7783, 1.7983, 1.82117, 1.832273, 
    1.831475, 1.831327, 1.834004, 1.833261, 1.831134, 1.826079, 1.819384, 
    1.809959, 1.800192, 1.791863, 1.494879, 0.8111677, 0.7993671, 0.7848358, 
    0.7687441, 0.741437, 0.7076445, 0.6616613, 0.610948, 0.2940391, 0, 0, 0, 
    0, 0, 0, 0, 0.5262069, 1.059946, 1.063174, 1.059792, 1.046009, 1.030433, 
    0.9966165, 0.6742827, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7109174, 
    1.033326, 1.565566, 1.607077, 1.639773, 1.653116, 1.667026, 1.684811, 
    1.711669, 1.746382, 1.788038, 1.838077, 1.905145, 1.987059, 2.073426, 
    2.162236, 2.260645, 2.367498, 2.471997, 2.572996, 2.68457, 2.79605, 
    2.904323, 1.872318, 1.432356, 1.455421, 1.470196, 1.478827, 1.485946, 
    1.515399, 1.542608, 1.566405, 1.794333, 3.587691, 3.632654, 3.672035, 
    3.708508, 3.730772, 3.717916, 3.70016, 3.679098, 3.656447, 3.633891, 
    3.609935, 3.580974, 3.547822, 3.508622, 3.464522, 3.408623, 3.343622, 
    3.274866, 3.188951, 3.0151, 2.791442, 2.58041, 2.362719, 2.125754, 
    1.892439, 1.681504, 1.484229, 1.305665, 1.232578, 1.203378, 1.188948, 
    1.188738, 1.208164, 1.228068, 1.245461, 1.2529, 1.256102, 1.253117, 
    1.250832, 1.250037, 1.254452, 1.252667, 1.250523, 1.248435, 1.245425, 
    1.244336, 1.250247, 1.256673, 1.263079, 1.26549, 1.270018, 1.282893, 
    1.297684, 1.315292, 1.326634, 0.762183, 0.4863443, 0, 0.423943, 
    0.6030484, 0.6031947, 0.6058767, 1.105658, 1.34414, 1.379607, 1.421349, 
    1.463432, 1.502319, 1.528483, 1.544315, 1.55803, 1.56407, 1.568353, 
    1.575183, 1.585154, 1.596527, 1.604754, 1.609183, 1.610829, 1.610683, 
    1.610683, 1.610683, 1.610683, 1.610683, 1.610683, 1.610683, 1.611383, 
    1.608705, 1.605115, 1.603488, 1.603245, 1.604267, 1.607377, 1.615794, 
    1.624911, 1.636168, 1.657199, 1.679525, 1.701852, 1.723171, 1.7432, 
    1.75817, 1.768941, 1.77907, 1.786542, 1.786328, 1.781213, 1.770257, 
    1.754634, 1.736522, 1.71491, 1.690195, 1.667353, 1.647923, 1.631293, 
    1.618225, 1.611573, 1.610873, 1.615091, 1.624997, 1.636507, 1.648352, 
    1.660556, 1.674782, 1.68908,
  1.540231, 1.543089, 1.548883, 1.554977, 1.560833, 1.566689, 1.573248, 
    1.579272, 1.58453, 1.589789, 1.594765, 1.59944, 1.603756, 1.607712, 
    1.612257, 1.617505, 1.622627, 1.628451, 1.632385, 1.633453, 1.632403, 
    1.629953, 1.630094, 1.629046, 1.628596, 1.629886, 1.619919, 1.606768, 
    1.590055, 1.567587, 1.542247, 1.51126, 1.482439, 1.450458, 1.424566, 
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    1.691612, 1.690371, 1.690463, 1.694257, 1.693355, 1.690012, 1.682577, 
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    1.182853,
  1.087669, 1.08557, 1.080717, 1.075945, 1.071145, 1.066344, 1.06062, 
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    0.7447175, 0.7142768, 0.6932826, 0.6839935, 0.6785004,
  0.7910755, 0.7984288, 0.8143848, 0.8449409, 0.8810942, 0.9364942, 1.018293, 
    1.110982, 1.210819, 1.312402, 1.412424, 1.514995, 1.600949, 1.681271, 
    1.746436, 1.792256, 1.824388, 1.845326, 1.86596, 1.882748, 1.889645, 
    1.892374, 1.892819, 1.892869, 1.892617, 1.891664, 1.890315, 1.888269, 
    1.885621, 1.88262, 1.878423, 1.874325, 1.870131, 1.866283, 1.862837, 
    1.859439, 1.857392, 1.855692, 1.853996, 1.853092, 1.852392, 1.852746, 
    1.852847, 1.851959, 1.843448, 1.818505, 1.77607, 1.723636, 1.668444, 
    1.609399, 1.538109, 1.46297, 1.393664, 1.332726, 1.284221, 1.249165, 
    1.225159, 1.207107, 1.194002, 1.190946, 1.197641, 1.209235, 1.216484, 
    1.222884, 1.227384, 1.228384, 1.226688, 1.222344, 1.215398, 1.203551, 
    1.193503, 1.197654, 1.208907, 1.228207, 1.259702, 1.297646, 1.337888, 
    1.381277, 1.42516, 1.456989, 1.470309, 1.471022, 1.46183, 1.439449, 
    1.408925, 1.371755, 1.330786, 1.291775, 1.255126, 1.220238, 1.185346, 
    1.14791, 1.114154, 0.7131969, 0.1053299, 0.5036428, 0.4975503, 0.496312, 
    0.9319701, 0.9952099, 1.021364, 1.057331, 1.105807, 1.164956, 1.226327, 
    1.29645, 1.392732, 1.518189, 1.669014, 1.856964, 2.101267, 2.376573, 
    2.649711, 2.922521, 3.186898, 3.384528, 3.490866, 3.515593, 3.44775, 
    3.294129, 3.09274, 2.848605, 2.563233, 2.285266, 2.058211, 1.863748, 
    1.69282, 1.558143, 1.461748, 1.384272, 1.311913, 1.242006, 1.176141, 
    1.109222, 1.04282, 0.9843996, 0.9418837, 0.9151079, 0.9127219, 0.9427713, 
    1.001706, 1.091774, 1.226473, 1.389765, 1.567177, 1.764549, 1.99794, 
    2.236712, 2.461692, 2.691937, 2.930887, 3.117773, 3.172084, 3.098282, 
    2.937447, 2.711506, 2.455467, 2.165476, 1.807683, 1.436645, 1.114336, 
    0.8868876, 0.715369, 0.5880588, 0.4941868, 0.4227084, 0.3549261, 
    0.3027888, 0.2555, 0.219058, 0.1897589, 0.1792533, 0.1707477, 0.162942, 
    0.155586, 0.1496299, 0.1444766, 0.1396766, 0.1335261, 0.1271719, 
    0.1207243, 0.1156766, 0.1097271, 0.1062299, 0.1037289, 0.1029813, 
    0.106785, 0.1155327, 0.126486, 0.1388327, 0.153485, 0.1688813, 0.184986, 
    0.2035439, 0.2300496, 0.2712486, 0.3194953, 0.3817421, 0.4619364, 
    0.549786, 0.6359906, 0.7239552, 0.8205383, 0.9131431, 0.9996731, 
    1.080976, 1.163586, 1.237868, 1.28801, 1.322373, 1.357061, 1.39655, 
    1.451721, 1.543573, 1.710325, 1.951666, 2.229318, 2.543069, 2.885814, 
    3.191916, 3.414125, 3.564601, 3.620951, 3.539076, 2.513289, 1.501318, 
    1.324731, 1.459899, 1.994276, 1.765472, 1.591968, 1.485305, 1.431939, 
    1.40552, 1.405949, 1.422664, 1.439033, 1.446675, 1.447712, 1.442801, 
    1.435215, 1.42099, 1.391129, 1.355473, 1.326427, 1.307128, 1.301097, 
    1.309794, 1.328875, 1.357351, 1.404289, 1.47082, 1.529323, 1.562665, 
    1.564124, 1.5282, 1.464547, 1.36696, 1.235979, 1.095251, 0.9681216, 
    0.8535796, 0.7475395, 0.6639432, 0.6061497, 0.5658497, 0.5424992, 
    0.5443422, 0.5826216, 0.6761749, 0.8001122, 0.9164319, 1.012117, 
    1.097315, 1.170575, 1.225593, 1.249113, 1.239386, 1.172889, 1.093552, 
    1.02051, 0.9572679, 0.8978745, 0.8546848, 0.8257903, 0.8063493, 
    0.7990072, 0.7953175,
  0.9140502, 0.9221033, 0.9384511, 0.9700547, 1.006807, 1.062459, 1.144109, 
    1.234701, 1.331537, 1.429067, 1.522938, 1.614064, 1.686588, 1.750365, 
    1.797837, 1.826106, 1.843288, 1.851029, 1.85797, 1.863528, 1.864123, 
    1.86437, 1.86437, 1.86437, 1.864123, 1.863175, 1.861824, 1.859922, 
    1.857875, 1.855128, 1.85143, 1.847984, 1.844384, 1.841137, 1.838338, 
    1.835441, 1.83364, 1.832193, 1.830893, 1.829744, 1.829397, 1.830097, 
    1.830498, 1.831857, 1.830433, 1.81784, 1.7891, 1.750612, 1.707918, 
    1.661377, 1.603137, 1.541298, 1.482146, 1.425069, 1.376221, 1.340369, 
    1.315164, 1.295905, 1.281498, 1.277142, 1.282637, 1.293032, 1.299476, 
    1.30522, 1.309115, 1.309862, 1.308662, 1.305114, 1.298867, 1.287367, 
    1.277971, 1.282624, 1.293871, 1.312818, 1.342708, 1.379151, 1.41734, 
    1.457976, 1.498462, 1.524934, 1.532007, 1.526134, 1.508952, 1.480074, 
    1.444652, 1.403284, 1.358821, 1.317915, 1.282625, 1.250136, 1.217448, 
    1.182405, 1.148157, 1.111808, 0.5999576, 0.5204145, 0.4989239, 0.4816709, 
    0.8937462, 0.9430569, 0.9583032, 0.9854558, 1.02616, 1.081073, 1.142151, 
    1.215155, 1.317528, 1.452711, 1.616758, 1.821412, 2.091699, 2.402622, 
    2.71767, 3.036231, 3.348596, 3.5878, 3.71899, 3.75633, 3.689734, 
    3.523388, 3.297905, 3.020938, 2.696348, 2.380466, 2.124909, 1.911043, 
    1.729573, 1.592426, 1.499098, 1.428537, 1.366288, 1.30679, 1.250039, 
    1.191181, 1.129171, 1.072708, 1.030677, 1.00264, 0.9970959, 1.020484, 
    1.070668, 1.149899, 1.270822, 1.425348, 1.596831, 1.791786, 2.025195, 
    2.267859, 2.498632, 2.736053, 2.981464, 3.17509, 3.229177, 3.147408, 
    2.970045, 2.725115, 2.450739, 2.142062, 1.765233, 1.376916, 1.039742, 
    0.8030591, 0.6375833, 0.5223531, 0.4393228, 0.3776395, 0.3196597, 
    0.2773348, 0.2396091, 0.2169741, 0.205027, 0.2027553, 0.2015251, 
    0.2009949, 0.2020249, 0.2047577, 0.208086, 0.2117611, 0.2096474, 
    0.2051679, 0.2017425, 0.1997171, 0.1979034, 0.1971753, 0.1970976, 
    0.19912, 0.2045307, 0.2127785, 0.22312, 0.2338084, 0.2463374, 0.2581087, 
    0.2652247, 0.2740812, 0.2899818, 0.3193276, 0.3565832, 0.4074857, 
    0.4756846, 0.5530925, 0.6332344, 0.7218263, 0.8233388, 0.9265313, 
    1.029098, 1.131337, 1.245668, 1.35521, 1.434081, 1.491581, 1.543249, 
    1.58922, 1.636729, 1.705163, 1.827505, 2.002911, 2.216321, 2.472444, 
    2.765646, 3.034758, 3.23298, 3.366147, 3.414926, 3.340519, 3.149029, 
    2.881271, 2.549733, 2.207445, 1.928124, 1.714213, 1.553129, 1.455525, 
    1.409357, 1.389789, 1.39677, 1.418652, 1.440987, 1.460906, 1.484322, 
    1.511981, 1.542767, 1.570071, 1.585949, 1.597788, 1.606882, 1.610995, 
    1.609215, 1.603285, 1.594297, 1.582807, 1.578804, 1.591481, 1.599065, 
    1.592359, 1.569579, 1.525327, 1.459915, 1.364774, 1.238952, 1.10479, 
    0.9835224, 0.8731014, 0.770876, 0.6898453, 0.6336029, 0.5941605, 
    0.5709118, 0.5717092, 0.6058417, 0.6900023, 0.8091214, 0.929388, 
    1.032572, 1.128068, 1.214629, 1.2848, 1.32357, 1.32838, 1.274391, 
    1.200981, 1.129992, 1.068803, 1.011364, 0.9699702, 0.9422756, 0.924381, 
    0.9185367, 0.9165926,
  1.035514, 1.044267, 1.060972, 1.093174, 1.130527, 1.186427, 1.267573, 
    1.355256, 1.442437, 1.529618, 1.611291, 1.685164, 1.741145, 1.788374, 
    1.818146, 1.829025, 1.834136, 1.834731, 1.835383, 1.83588, 1.83588, 
    1.83588, 1.83588, 1.83588, 1.835628, 1.835029, 1.83378, 1.83158, 
    1.830132, 1.827984, 1.824888, 1.821636, 1.818641, 1.815993, 1.813393, 
    1.810944, 1.809397, 1.808197, 1.806948, 1.806402, 1.806401, 1.806749, 
    1.807551, 1.810304, 1.813419, 1.811304, 1.796062, 1.77122, 1.741376, 
    1.708033, 1.663644, 1.615604, 1.567603, 1.517843, 1.470656, 1.434707, 
    1.408907, 1.388354, 1.372448, 1.366338, 1.370381, 1.378971, 1.38346, 
    1.387249, 1.389843, 1.389989, 1.388185, 1.384734, 1.378834, 1.367334, 
    1.358384, 1.362778, 1.373073, 1.390715, 1.418607, 1.452493, 1.488535, 
    1.526677, 1.565022, 1.585548, 1.587479, 1.577164, 1.555556, 1.523657, 
    1.48621, 1.44281, 1.394943, 1.35178, 1.318688, 1.290162, 1.261435, 
    1.228495, 1.194244, 1.157187, 1.109124, 1.058176, 1.014466, 0.9788038, 
    0.9537841, 0.9461105, 0.952637, 0.9714105, 1.00348, 1.049792, 1.104004, 
    1.172563, 1.272924, 1.408799, 1.577645, 1.789909, 2.072936, 2.401167, 
    2.737761, 3.080313, 3.418123, 3.680324, 3.825962, 3.86867, 3.801209, 
    3.627136, 3.388906, 3.093965, 2.747711, 2.41222, 2.140231, 1.915854, 
    1.731196, 1.595858, 1.508235, 1.446524, 1.395723, 1.34868, 1.303936, 
    1.25604, 1.204541, 1.157133, 1.120864, 1.096836, 1.092793, 1.114036, 
    1.160116, 1.233131, 1.34619, 1.492594, 1.65821, 1.850785, 2.083168, 
    2.326763, 2.560163, 2.799157, 3.042227, 3.234188, 3.286586, 3.192294, 
    2.992661, 2.72257, 2.423529, 2.090189, 1.689508, 1.282207, 0.9292898, 
    0.6845495, 0.5269941, 0.4270583, 0.3599781, 0.3135449, 0.2723211, 
    0.2488606, 0.2350942, 0.2356328, 0.2482979, 0.2619596, 0.2753682, 
    0.2898299, 0.3075463, 0.3267079, 0.3425909, 0.3542379, 0.3560371, 
    0.3544422, 0.3545994, 0.3565097, 0.359567, 0.362679, 0.3668944, 
    0.3728568, 0.3801628, 0.3877594, 0.3969073, 0.4053491, 0.4137841, 
    0.4210226, 0.4158473, 0.4074891, 0.4028581, 0.4108247, 0.4280433, 
    0.456444, 0.4987694, 0.5524042, 0.6148587, 0.6955492, 0.7968355, 
    0.9094757, 1.027645, 1.152503, 1.297592, 1.439432, 1.544894, 1.622673, 
    1.685352, 1.732039, 1.770954, 1.815762, 1.895093, 2.010409, 2.164226, 
    2.362496, 2.603888, 2.834388, 3.007293, 3.123528, 3.167204, 3.101688, 
    2.933331, 2.694998, 2.397888, 2.091087, 1.83935, 1.644982, 1.498695, 
    1.409827, 1.369042, 1.354152, 1.366771, 1.395549, 1.426389, 1.462158, 
    1.511216, 1.573159, 1.642864, 1.713287, 1.777282, 1.83777, 1.886827, 
    1.916589, 1.922082, 1.901684, 1.863818, 1.811904, 1.75585, 1.711371, 
    1.665265, 1.613931, 1.56009, 1.501415, 1.433102, 1.341019, 1.223464, 
    1.09901, 0.9862521, 0.882935, 0.7858557, 0.7093762, 0.6565984, 0.6195617, 
    0.5977225, 0.5956002, 0.6202864, 0.6957496, 0.8105923, 0.9344573, 
    1.045795, 1.149774, 1.246704, 1.329646, 1.384718, 1.408321, 1.368736, 
    1.306241, 1.240475, 1.181332, 1.125839, 1.086248, 1.059753, 1.043058, 
    1.03806, 1.037214,
  1.155492, 1.16424, 1.181842, 1.214292, 1.251992, 1.307892, 1.382039, 
    1.459068, 1.530052, 1.601388, 1.665668, 1.721998, 1.761529, 1.792313, 
    1.805198, 1.806689, 1.807389, 1.807389, 1.807836, 1.807885, 1.807885, 
    1.807885, 1.807885, 1.807734, 1.807133, 1.806532, 1.805785, 1.804089, 
    1.802637, 1.800838, 1.79834, 1.795293, 1.792893, 1.790846, 1.788448, 
    1.786602, 1.785401, 1.784202, 1.783405, 1.782902, 1.782902, 1.783254, 
    1.784506, 1.787908, 1.793918, 1.798186, 1.79503, 1.783484, 1.766586, 
    1.746188, 1.7165, 1.682206, 1.646056, 1.6064, 1.564884, 1.530194, 
    1.504142, 1.48299, 1.465432, 1.457375, 1.459365, 1.465202, 1.466941, 
    1.46813, 1.46882, 1.467763, 1.464708, 1.460552, 1.4543, 1.4428, 1.432842, 
    1.435785, 1.444023, 1.459261, 1.484446, 1.51468, 1.54847, 1.58577, 
    1.623772, 1.641472, 1.639709, 1.627105, 1.604656, 1.573612, 1.537722, 
    1.493414, 1.440993, 1.393823, 1.361672, 1.338645, 1.314813, 1.284777, 
    1.250982, 1.213334, 1.165749, 1.11621, 1.072267, 1.035318, 1.006304, 
    0.993333, 0.9942092, 1.00628, 1.030494, 1.067807, 1.112062, 1.170316, 
    1.261126, 1.390446, 1.557182, 1.771536, 2.059551, 2.394627, 2.739252, 
    3.091583, 3.439911, 3.710381, 3.861086, 3.904333, 3.833415, 3.653187, 
    3.407504, 3.104075, 2.747743, 2.403813, 2.125397, 1.896335, 1.710785, 
    1.577994, 1.495914, 1.442192, 1.401881, 1.368388, 1.336842, 1.302149, 
    1.263859, 1.227963, 1.200304, 1.182433, 1.181098, 1.201448, 1.242324, 
    1.306989, 1.408534, 1.542325, 1.697623, 1.88198, 2.107742, 2.347516, 
    2.577992, 2.812662, 3.046818, 3.227815, 3.274823, 3.172749, 2.956845, 
    2.667726, 2.35011, 1.999253, 1.590867, 1.184472, 0.8379402, 0.6002382, 
    0.4539379, 0.3699572, 0.3194261, 0.2891951, 0.2653649, 0.2595743, 
    0.2679285, 0.2857355, 0.3128921, 0.3414553, 0.3684103, 0.3967653, 
    0.4300293, 0.4623786, 0.4820785, 0.4937314, 0.4946248, 0.4926166, 
    0.492558, 0.4953052, 0.4985498, 0.5022432, 0.5072854, 0.5137277, 
    0.5200642, 0.5269617, 0.5352567, 0.5421518, 0.5476924, 0.5525842, 
    0.5442321, 0.5257042, 0.5041931, 0.493268, 0.4917421, 0.4982575, 
    0.5143615, 0.5427143, 0.5828728, 0.6461371, 0.7414513, 0.8590034, 
    0.9885305, 1.133492, 1.306942, 1.477242, 1.603607, 1.696001, 1.763563, 
    1.807353, 1.837615, 1.863648, 1.907923, 1.979638, 2.089651, 2.24517, 
    2.447145, 2.648802, 2.802989, 2.906799, 2.94659, 2.888972, 2.739286, 
    2.525576, 2.257733, 1.981642, 1.753428, 1.57629, 1.442331, 1.359601, 
    1.321307, 1.30786, 1.322912, 1.356524, 1.395352, 1.44505, 1.517136, 
    1.610003, 1.71323, 1.82102, 1.927584, 2.03035, 2.113581, 2.167018, 
    2.181854, 2.148997, 2.085044, 1.997256, 1.897796, 1.805775, 1.715912, 
    1.62572, 1.542312, 1.468156, 1.399365, 1.315566, 1.212391, 1.101104, 
    0.9988505, 0.9032321, 0.8113551, 0.7385153, 0.6889203, 0.6536723, 
    0.6325178, 0.6262551, 0.6388669, 0.7022029, 0.8122709, 0.9370643, 
    1.055789, 1.166114, 1.271252, 1.36369, 1.432433, 1.47741, 1.458215, 
    1.409223, 1.351455, 1.294365, 1.240775, 1.202527, 1.177232, 1.161384, 
    1.156584, 1.156335,
  1.27396, 1.282713, 1.300764, 1.333264, 1.370712, 1.421775, 1.481361, 
    1.540942, 1.59598, 1.651366, 1.698548, 1.737529, 1.761221, 1.776159, 
    1.77884, 1.779039, 1.779386, 1.779386, 1.779386, 1.779386, 1.779386, 
    1.779386, 1.779386, 1.779237, 1.77889, 1.778543, 1.77784, 1.77659, 
    1.775142, 1.773694, 1.771847, 1.769449, 1.767654, 1.765853, 1.763955, 
    1.762606, 1.761405, 1.760558, 1.759906, 1.75941, 1.759409, 1.759757, 
    1.761056, 1.76521, 1.772913, 1.780623, 1.785142, 1.784425, 1.77952, 
    1.771467, 1.755869, 1.735424, 1.712228, 1.684127, 1.652068, 1.622902, 
    1.598366, 1.576966, 1.557912, 1.547752, 1.547091, 1.549929, 1.548415, 
    1.546652, 1.545295, 1.542538, 1.538183, 1.532728, 1.525272, 1.512562, 
    1.500301, 1.500638, 1.505976, 1.517609, 1.53844, 1.564875, 1.596417, 
    1.633918, 1.672824, 1.691935, 1.689693, 1.676593, 1.655705, 1.62737, 
    1.594232, 1.550242, 1.494889, 1.44282, 1.408201, 1.386893, 1.367157, 
    1.339715, 1.307724, 1.271534, 1.226741, 1.180457, 1.139524, 1.103832, 
    1.073132, 1.055667, 1.050996, 1.05612, 1.071031, 1.098136, 1.131594, 
    1.1787, 1.258805, 1.379818, 1.541441, 1.754175, 2.043218, 2.381972, 
    2.730681, 3.088142, 3.441706, 3.715565, 3.867469, 3.91052, 3.836261, 
    3.65125, 3.399937, 3.090165, 2.727698, 2.378081, 2.095614, 1.863906, 
    1.677851, 1.546705, 1.468114, 1.419981, 1.389017, 1.368112, 1.350016, 
    1.329472, 1.306183, 1.28404, 1.267488, 1.25722, 1.259282, 1.27802, 
    1.311484, 1.364527, 1.449751, 1.56481, 1.703177, 1.872702, 2.085638, 
    2.315586, 2.538953, 2.766525, 2.991092, 3.16156, 3.202099, 3.097754, 
    2.872986, 2.571907, 2.246559, 1.89395, 1.493851, 1.103121, 0.7742953, 
    0.5490473, 0.4162056, 0.3491221, 0.3150354, 0.2970157, 0.2877638, 
    0.2964204, 0.3177204, 0.3491731, 0.3905306, 0.4339369, 0.4744408, 
    0.5163447, 0.5635935, 0.6030022, 0.6230549, 0.6350549, 0.6355581, 
    0.6323061, 0.630803, 0.6313888, 0.6316203, 0.632807, 0.63474, 0.6380731, 
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    1.050169, 1.166493, 1.280173, 1.382465, 1.461555, 1.525279, 1.531579, 
    1.502479, 1.458909, 1.407242, 1.356102, 1.318656, 1.293957, 1.278357, 
    1.27401, 1.27396,
  1.390438, 1.399186, 1.417235, 1.449583, 1.48366, 1.522605, 1.565238, 
    1.607625, 1.647166, 1.686355, 1.716492, 1.73858, 1.746921, 1.750745, 
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    3.617595, 3.366055, 3.055016, 2.691072, 2.339725, 2.05583, 1.823383, 
    1.636934, 1.506485, 1.429841, 1.385403, 1.362076, 1.351713, 1.346458, 
    1.339809, 1.332068, 1.324474, 1.318911, 1.315784, 1.32019, 1.333663, 
    1.35561, 1.391536, 1.453382, 1.541969, 1.65672, 1.805435, 2.000663, 
    2.217766, 2.433742, 2.656028, 2.875421, 3.040712, 3.081475, 2.9812, 
    2.754855, 2.452271, 2.133569, 1.79282, 1.407179, 1.034801, 0.72583, 
    0.5148378, 0.3963907, 0.3468595, 0.3290718, 0.3217736, 0.326231, 
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    2.017829, 2.166273, 2.32504, 2.45171, 2.539223, 2.573505, 2.528177, 
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    1.497595, 1.638273, 1.789854, 1.949845, 2.128146, 2.304053, 2.441239, 
    2.517841, 2.528252, 2.463321, 2.357217, 2.226243, 2.073406, 1.913618, 
    1.760388, 1.624663, 1.51858, 1.442165, 1.387282, 1.32681, 1.249901, 
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    1.580602, 1.576695, 1.551054, 1.511413, 1.469422, 1.433782, 1.409435, 
    1.393835, 1.389935, 1.390086,
  1.50491, 1.513663, 1.531059, 1.555705, 1.579301, 1.603245, 1.629189, 
    1.65513, 1.679073, 1.702668, 1.715957, 1.723409, 1.723657, 1.723906, 
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    1.715485, 1.700238, 1.684589, 1.671989, 1.667485, 1.665777, 1.661696, 
    1.659525, 1.658799, 1.657021, 1.653441, 1.647913, 1.639879, 1.625897, 
    1.610764, 1.602948, 1.599131, 1.601261, 1.611594, 1.630883, 1.660084, 
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    1.720243, 1.678947, 1.621797, 1.56029, 1.516477, 1.487364, 1.463689, 
    1.439149, 1.411462, 1.382723, 1.349599, 1.315269, 1.286535, 1.257796, 
    1.229251, 1.20805, 1.19479, 1.185368, 1.180581, 1.182179, 1.190627, 
    1.211322, 1.262954, 1.356838, 1.492869, 1.682791, 1.952163, 2.274392, 
    2.611079, 2.958976, 3.304928, 3.574296, 3.72443, 3.769937, 3.701317, 
    3.523113, 3.279561, 2.977213, 2.621819, 2.277618, 1.999253, 1.77093, 
    1.587854, 1.459921, 1.385329, 1.343286, 1.324748, 1.322572, 1.327402, 
    1.332942, 1.339892, 1.345283, 1.348058, 1.349418, 1.35215, 1.356863, 
    1.364208, 1.380285, 1.415089, 1.474233, 1.564097, 1.692129, 1.870475, 
    2.077195, 2.288434, 2.50843, 2.726326, 2.889872, 2.933682, 2.839955, 
    2.616924, 2.324885, 2.020342, 1.693746, 1.324457, 0.9719325, 0.6838584, 
    0.4885165, 0.3856789, 0.3589784, 0.3566307, 0.363383, 0.38329, 0.4219488, 
    0.4708486, 0.5292009, 0.6000538, 0.6706449, 0.7314975, 0.78675, 
    0.8415514, 0.8826047, 0.9032565, 0.9162083, 0.9170616, 0.9145609, 
    0.9132601, 0.9123119, 0.9110623, 0.9105156, 0.9107638, 0.9117119, 
    0.914112, 0.9182099, 0.9230047, 0.9288522, 0.9350975, 0.9397427, 
    0.9232166, 0.8723599, 0.8024982, 0.7344314, 0.676466, 0.6230481, 
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    1.876908, 1.691761, 1.533349, 1.395921, 1.28103, 1.205516, 1.170786, 
    1.161946, 1.178204, 1.218267, 1.276844, 1.360636, 1.482846, 1.642408, 
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    1.618952, 1.594908, 1.568766, 1.542676, 1.523158, 1.50781, 1.504363, 
    1.504563,
  1.617391, 1.622262, 1.631358, 1.641005, 1.649954, 1.659256, 1.669148, 
    1.679143, 1.687741, 1.696339, 1.69847, 1.698916, 1.698664, 1.69806, 
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    1.709724, 1.695076, 1.679576, 1.666825, 1.660969, 1.657565, 1.655611, 
    1.656204, 1.658955, 1.662068, 1.663836, 1.66335, 1.659514, 1.650431, 
    1.640198, 1.632212, 1.627825, 1.627628, 1.634117, 1.650859, 1.680311, 
    1.72132, 1.770241, 1.806969, 1.824902, 1.831645, 1.825973, 1.813042, 
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    1.508744, 1.487073, 1.464002, 1.43561, 1.404614, 1.378367, 1.351419, 
    1.323267, 1.300859, 1.283339, 1.266156, 1.248955, 1.235449, 1.22814, 
    1.231673, 1.263299, 1.335058, 1.448567, 1.612461, 1.852078, 2.144941, 
    2.455068, 2.779203, 3.103951, 3.358478, 3.501494, 3.54724, 3.488429, 
    3.328814, 3.106466, 2.827428, 2.497048, 2.176566, 1.91792, 1.706159, 
    1.537185, 1.419792, 1.35193, 1.314859, 1.300979, 1.304546, 1.314755, 
    1.326359, 1.340361, 1.351814, 1.357259, 1.358146, 1.354368, 1.347976, 
    1.340878, 1.33867, 1.349898, 1.383522, 1.451098, 1.560333, 1.723327, 
    1.920339, 2.126917, 2.344705, 2.560796, 2.722387, 2.769148, 2.682576, 
    2.470886, 2.19645, 1.908109, 1.59772, 1.247091, 0.9152129, 0.6483883, 
    0.4690441, 0.3877342, 0.3832439, 0.3958984, 0.4176528, 0.4534087, 
    0.5084163, 0.5713666, 0.6441169, 0.729014, 0.8059189, 0.8679749, 
    0.9240783, 0.9795315, 1.021233, 1.042485, 1.055685, 1.057036, 1.054889, 
    1.053489, 1.052789, 1.052042, 1.051992, 1.051992, 1.052692, 1.055042, 
    1.058238, 1.061985, 1.06678, 1.072028, 1.075273, 1.053964, 0.9902791, 
    0.9034701, 0.81761, 0.7419996, 0.6698844, 0.5975614, 0.5331846, 
    0.4872133, 0.4807897, 0.5381995, 0.6341212, 0.7535527, 0.9041367, 
    1.120969, 1.355276, 1.539427, 1.677382, 1.775535, 1.833882, 1.86136, 
    1.863604, 1.843403, 1.797228, 1.773039, 1.788045, 1.852492, 1.939807, 
    2.018753, 2.07638, 2.101864, 2.072494, 1.991508, 1.870642, 1.715441, 
    1.55859, 1.424123, 1.306793, 1.207295, 1.141881, 1.111794, 1.105502, 
    1.124866, 1.170442, 1.237374, 1.333369, 1.470969, 1.64778, 1.837343, 
    2.038458, 2.261879, 2.479637, 2.648576, 2.743996, 2.757541, 2.679522, 
    2.550041, 2.389399, 2.199795, 2.003541, 1.819842, 1.656096, 1.529712, 
    1.444949, 1.394748, 1.345957, 1.284422, 1.211943, 1.135808, 1.05722, 
    0.9747831, 0.9028894, 0.8490943, 0.8078942, 0.7769411, 0.7601397, 
    0.756346, 0.775995, 0.8365761, 0.9267006, 1.02978, 1.133559, 1.245936, 
    1.357617, 1.459199, 1.552049, 1.621341, 1.655451, 1.661353, 1.652907, 
    1.642763, 1.633171, 1.625321, 1.617824, 1.616385, 1.616888,
  1.662429, 1.673348, 1.693674, 1.714398, 1.733363, 1.752323, 1.772648, 
    1.79322, 1.804034, 1.80463, 1.789735, 1.770709, 1.752692, 1.734327, 
    1.715101, 1.695225, 1.67746, 1.66956, 1.669359, 1.668906, 1.668906, 
    1.668906, 1.668906, 1.668906, 1.668906, 1.668558, 1.668409, 1.668409, 
    1.668409, 1.668409, 1.66836, 1.667913, 1.667913, 1.667913, 1.667863, 
    1.667416, 1.667416, 1.667416, 1.667416, 1.667416, 1.667416, 1.668116, 
    1.669566, 1.673719, 1.681919, 1.691519, 1.70277, 1.712823, 1.721926, 
    1.729629, 1.736783, 1.74139, 1.741195, 1.735751, 1.726703, 1.714007, 
    1.69996, 1.685912, 1.671016, 1.658015, 1.650711, 1.645855, 1.6426, 
    1.641748, 1.643691, 1.648087, 1.652387, 1.655548, 1.65546, 1.650823, 
    1.64554, 1.641402, 1.639758, 1.640915, 1.647123, 1.664283, 1.696047, 
    1.741116, 1.797395, 1.843883, 1.872675, 1.889904, 1.891475, 1.884749, 
    1.866262, 1.830613, 1.776661, 1.714753, 1.665742, 1.629326, 1.602749, 
    1.593135, 1.579057, 1.561466, 1.537941, 1.509404, 1.483856, 1.457608, 
    1.428605, 1.402488, 1.378816, 1.355153, 1.327583, 1.297777, 1.272665, 
    1.256295, 1.263201, 1.307352, 1.39104, 1.520914, 1.718963, 1.968654, 
    2.237445, 2.520228, 2.806921, 3.035013, 3.164958, 3.208498, 3.16144, 
    3.027027, 2.836945, 2.596496, 2.311787, 2.03542, 1.812359, 1.630927, 
    1.487777, 1.389249, 1.333694, 1.305426, 1.297849, 1.305158, 1.317262, 
    1.329713, 1.344316, 1.355814, 1.360513, 1.358556, 1.347082, 1.328189, 
    1.307141, 1.288888, 1.279872, 1.291951, 1.339134, 1.429722, 1.575711, 
    1.760768, 1.959939, 2.172767, 2.384849, 2.543287, 2.593902, 2.516789, 
    2.322246, 2.06661, 1.796627, 1.504239, 1.174159, 0.8641367, 0.6189093, 
    0.4576771, 0.4013081, 0.4141673, 0.4424196, 0.479772, 0.5319285, 
    0.6031823, 0.680883, 0.767679, 0.8614938, 0.9402012, 1.003453, 1.060406, 
    1.11691, 1.15886, 1.180712, 1.194164, 1.196017, 1.194518, 1.193219, 
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    1.200464, 1.20406, 1.208004, 1.209799, 1.186695, 1.113515, 1.009909, 
    0.9063984, 0.8134902, 0.7230297, 0.6295578, 0.5434356, 0.476463, 
    0.4486905, 0.4936455, 0.5801595, 0.6922783, 0.8411823, 1.066709, 
    1.314546, 1.512138, 1.664582, 1.776423, 1.846557, 1.881279, 1.883081, 
    1.847124, 1.76752, 1.705248, 1.680067, 1.702834, 1.753819, 1.805536, 
    1.845034, 1.865164, 1.843637, 1.780295, 1.68408, 1.557426, 1.428418, 
    1.317647, 1.220163, 1.135564, 1.079441, 1.053053, 1.049766, 1.074488, 
    1.127413, 1.203896, 1.312236, 1.464637, 1.658493, 1.865349, 2.084457, 
    2.326564, 2.559108, 2.738037, 2.8382, 2.849792, 2.765368, 2.626483, 
    2.453643, 2.249244, 2.037895, 1.84055, 1.664915, 1.528682, 1.440773, 
    1.390976, 1.344332, 1.286896, 1.218805, 1.146013, 1.070421, 0.9911302, 
    0.922345, 0.8738256, 0.8368538, 0.8100344, 0.7977659, 0.7996982, 
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    1.660626, 1.659926, 1.659926, 1.660429, 1.661077,
  1.656026, 1.687242, 1.744761, 1.802682, 1.855943, 1.908856, 1.966226, 
    2.023848, 2.061409, 2.058591, 2.01077, 1.954098, 1.901285, 1.848473, 
    1.791751, 1.734481, 1.681816, 1.649456, 1.644426, 1.643929, 1.643929, 
    1.643929, 1.643929, 1.643929, 1.643929, 1.643929, 1.643929, 1.643929, 
    1.643929, 1.643929, 1.643929, 1.643929, 1.643929, 1.643929, 1.643929, 
    1.643929, 1.643929, 1.643929, 1.643929, 1.643929, 1.643929, 1.644276, 
    1.645625, 1.650226, 1.658426, 1.667673, 1.678873, 1.689977, 1.699929, 
    1.708481, 1.716382, 1.722686, 1.72369, 1.719794, 1.712151, 1.700302, 
    1.687206, 1.67411, 1.660062, 1.647717, 1.639213, 1.632809, 1.628155, 
    1.6263, 1.626697, 1.62954, 1.633488, 1.637684, 1.639435, 1.638395, 
    1.636502, 1.635309, 1.635213, 1.637917, 1.647228, 1.669603, 1.707781, 
    1.760311, 1.826547, 1.885692, 1.929197, 1.956937, 1.966417, 1.96679, 
    1.952807, 1.917458, 1.862956, 1.797894, 1.744527, 1.701298, 1.681218, 
    1.682202, 1.676082, 1.664009, 1.648536, 1.623246, 1.59865, 1.573001, 
    1.542897, 1.512033, 1.481862, 1.452034, 1.415043, 1.368439, 1.325433, 
    1.28907, 1.270597, 1.285754, 1.337103, 1.429381, 1.580473, 1.780706, 
    2.00024, 2.232374, 2.469806, 2.662028, 2.772203, 2.81068, 2.773907, 
    2.665441, 2.511662, 2.318019, 2.090656, 1.870393, 1.692099, 1.548429, 
    1.43734, 1.362776, 1.322732, 1.303661, 1.302078, 1.311332, 1.324032, 
    1.336732, 1.351279, 1.362329, 1.366778, 1.362821, 1.346312, 1.318194, 
    1.285968, 1.254784, 1.229493, 1.223947, 1.252793, 1.325386, 1.452171, 
    1.621611, 1.80856, 2.009857, 2.209746, 2.360609, 2.41366, 2.34986, 
    2.174177, 1.937941, 1.687151, 1.413965, 1.1074, 0.8246011, 0.6070097, 
    0.4677867, 0.4299791, 0.4576178, 0.5014684, 0.5544187, 0.6234235, 
    0.7111281, 0.8011591, 0.8957153, 0.9925204, 1.072975, 1.13743, 1.195586, 
    1.252887, 1.295491, 1.317943, 1.331995, 1.334446, 1.333297, 1.332701, 
    1.332101, 1.33195, 1.33195, 1.332201, 1.332801, 1.333999, 1.335895, 
    1.337943, 1.340691, 1.343037, 1.343482, 1.319179, 1.240622, 1.126408, 
    1.005604, 0.8950459, 0.7862355, 0.6720205, 0.5635957, 0.4747742, 
    0.424096, 0.4485571, 0.5164716, 0.6194928, 0.768389, 0.9987445, 1.253706, 
    1.460777, 1.623752, 1.746735, 1.827169, 1.8699, 1.872351, 1.822013, 
    1.717603, 1.624973, 1.567692, 1.556299, 1.578724, 1.610424, 1.637242, 
    1.653134, 1.640066, 1.595482, 1.525017, 1.42852, 1.328418, 1.241596, 
    1.163861, 1.096272, 1.05016, 1.028529, 1.028237, 1.056136, 1.111981, 
    1.193532, 1.309745, 1.472312, 1.677883, 1.896355, 2.127779, 2.382456, 
    2.626136, 2.812707, 2.915612, 2.923044, 2.831018, 2.682639, 2.498908, 
    2.282174, 2.058492, 1.849761, 1.664131, 1.520615, 1.431566, 1.383474, 
    1.339586, 1.28625, 1.220908, 1.150265, 1.076821, 1.002696, 0.940977, 
    0.9006003, 0.8714235, 0.8530488, 0.8492231, 0.859194, 0.8813992, 
    0.9314353, 1.007348, 1.093113, 1.175374, 1.264536, 1.353397, 1.43471, 
    1.510079, 1.581822, 1.624922, 1.639174, 1.639073, 1.638475, 1.638277, 
    1.637929, 1.637929, 1.638879, 1.639732,
  1.678112, 1.729273, 1.824342, 1.91996, 2.00802, 2.095728, 2.190747, 
    2.285612, 2.350677, 2.344976, 2.264288, 2.16982, 2.082111, 1.994754, 
    1.900386, 1.80587, 1.718414, 1.651253, 1.624446, 1.622938, 1.622938, 
    1.622938, 1.622938, 1.622938, 1.622938, 1.622938, 1.622938, 1.622938, 
    1.622938, 1.622938, 1.622938, 1.622938, 1.622938, 1.622938, 1.622938, 
    1.622938, 1.622938, 1.622938, 1.622938, 1.622938, 1.622938, 1.622938, 
    1.624087, 1.628084, 1.635931, 1.644832, 1.655881, 1.667128, 1.677177, 
    1.686177, 1.694881, 1.701982, 1.704186, 1.70149, 1.695594, 1.68495, 
    1.672953, 1.660956, 1.647609, 1.63621, 1.627463, 1.62011, 1.614156, 
    1.611002, 1.61045, 1.611998, 1.614491, 1.617538, 1.619186, 1.619787, 
    1.619088, 1.619441, 1.620444, 1.624599, 1.637963, 1.66834, 1.716273, 
    1.779963, 1.860216, 1.934417, 1.989687, 2.027814, 2.047196, 2.055423, 
    2.046538, 2.011389, 1.953268, 1.598284, 0.8879321, 0.8642805, 0.8558334, 
    0.8589141, 1.319728, 1.777059, 1.768727, 1.746688, 1.723393, 1.69764, 
    1.665733, 1.630519, 1.593346, 1.554416, 1.50538, 1.444343, 1.385951, 
    1.33175, 1.291435, 1.281518, 1.305192, 1.362441, 1.466349, 1.61363, 
    1.779607, 1.958535, 2.142664, 2.292977, 2.377288, 2.405999, 2.377626, 
    2.296063, 2.180987, 2.036895, 1.869136, 1.70737, 1.577673, 1.474902, 
    1.397405, 1.347325, 1.322767, 1.312192, 1.315355, 1.325708, 1.337805, 
    1.350253, 1.36385, 1.374196, 1.378295, 1.373647, 1.355696, 1.323891, 
    1.28578, 1.246612, 1.210031, 1.191595, 1.205907, 1.261505, 1.368243, 
    1.516921, 1.684651, 1.865676, 2.04385, 2.180547, 2.232439, 2.184288, 
    2.032271, 1.821015, 1.595012, 1.349421, 1.07675, 0.8305309, 0.6467368, 
    0.5304556, 0.50308, 0.5385414, 0.5916005, 0.6537595, 0.7328701, 
    0.8298757, 0.9258833, 1.022591, 1.121448, 1.203253, 1.269157, 1.32876, 
    1.386914, 1.430768, 1.454172, 1.468824, 1.471474, 1.470927, 1.470927, 
    1.470579, 1.469977, 1.469927, 1.470427, 1.470927, 1.471474, 1.472724, 
    1.473921, 1.475465, 1.476964, 1.47616, 1.450405, 1.369698, 1.251839, 
    1.120173, 0.9938303, 0.8660704, 0.7303491, 0.5980724, 0.4862983, 
    0.4109198, 0.4070791, 0.4531249, 0.5445303, 0.6870445, 0.9122574, 
    1.163826, 1.371409, 1.538762, 1.670636, 1.759908, 1.807207, 1.811819, 
    1.758487, 1.644585, 1.536465, 1.459118, 1.425066, 1.428067, 1.446281, 
    1.464156, 1.477951, 1.474077, 1.447828, 1.402704, 1.33745, 1.266487, 
    1.202403, 1.143911, 1.092855, 1.056681, 1.039541, 1.040591, 1.067134, 
    1.121177, 1.202022, 1.319971, 1.485775, 1.694574, 1.91577, 2.149562, 
    2.406953, 2.654247, 2.842488, 2.94498, 2.947266, 2.8488, 2.694944, 
    2.506444, 2.284544, 2.055844, 1.84345, 1.654156, 1.50881, 1.421319, 
    1.376481, 1.336896, 1.288263, 1.22703, 1.159795, 1.091169, 1.025246, 
    0.9723209, 0.9383886, 0.9145999, 0.9025651, 0.9050813, 0.9204447, 
    0.9441994, 0.9880744, 1.052942, 1.128612, 1.200082, 1.27805, 1.355717, 
    1.426739, 1.492861, 1.558731, 1.601579, 1.61618, 1.616081, 1.615881, 
    1.615428, 1.615428, 1.61578, 1.616931, 1.622609,
  1.72618, 1.797643, 1.930857, 2.064221, 2.187325, 2.310081, 2.442793, 
    2.571888, 2.649401, 2.643601, 2.544626, 2.413671, 2.291418, 2.169514, 
    2.0374, 1.904884, 1.78298, 1.681027, 1.618717, 1.603946, 1.603946, 
    1.603946, 1.603946, 1.603946, 1.603946, 1.603946, 1.603946, 1.603946, 
    1.603946, 1.603946, 1.603946, 1.603946, 1.603946, 1.603946, 1.603946, 
    1.603946, 1.603946, 1.603946, 1.603946, 1.603946, 1.603946, 1.603946, 
    1.604593, 1.607943, 1.61494, 1.622985, 1.633381, 1.64398, 1.653428, 
    1.662176, 1.671325, 1.678625, 1.681677, 1.68018, 1.675634, 1.666739, 
    1.656194, 1.645298, 1.633505, 1.622858, 1.614458, 1.606758, 1.600108, 
    1.595855, 1.594703, 1.5953, 1.596499, 1.598244, 1.599191, 1.599791, 
    1.599542, 1.600091, 1.602194, 1.608854, 1.627674, 1.667203, 1.727042, 
    1.80509, 1.903951, 1.996261, 2.059237, 2.106818, 2.137203, 2.155287, 
    2.151855, 2.116553, 1.100806, 0.6742263, 0, 0, 0.8584246, 0.9647091, 
    1.426539, 1.8845, 1.882219, 1.866345, 1.845857, 1.819757, 1.785098, 
    1.744831, 1.700561, 1.652434, 1.592352, 1.520121, 1.450444, 1.383566, 
    1.32839, 1.301754, 1.305809, 1.336798, 1.402958, 1.502433, 1.616137, 
    1.740323, 1.868502, 1.972355, 2.027566, 2.041163, 2.016912, 1.958065, 
    1.879162, 1.783149, 1.673766, 1.569937, 1.486769, 1.422124, 1.375862, 
    1.346821, 1.334051, 1.330368, 1.336272, 1.347072, 1.358321, 1.369565, 
    1.38186, 1.391057, 1.394806, 1.390506, 1.372707, 1.340762, 1.301818, 
    1.260421, 1.218468, 1.191955, 1.195778, 1.237042, 1.324083, 1.448557, 
    1.591275, 1.745184, 1.895339, 2.011417, 2.058747, 2.02212, 1.894084, 
    1.71237, 1.517514, 1.306919, 1.075744, 0.8710171, 0.7204647, 0.6258787, 
    0.607308, 0.6461171, 0.7018242, 0.7666315, 0.8487896, 0.9482992, 
    1.046354, 1.145462, 1.246417, 1.330174, 1.397881, 1.458936, 1.51839, 
    1.563544, 1.587896, 1.603148, 1.606452, 1.606402, 1.606402, 1.606402, 
    1.605955, 1.605905, 1.606154, 1.606402, 1.606452, 1.607049, 1.607396, 
    1.607744, 1.60839, 1.606336, 1.578881, 1.495422, 1.374663, 1.23815, 
    1.103591, 0.9637758, 0.8129535, 0.6646811, 0.5362523, 0.4428192, 
    0.4173262, 0.4452698, 0.518554, 0.6425778, 0.8444739, 1.073721, 1.267454, 
    1.427608, 1.557876, 1.649318, 1.698379, 1.709306, 1.665948, 1.561455, 
    1.45579, 1.372499, 1.327583, 1.318056, 1.325978, 1.337062, 1.349559, 
    1.351317, 1.337745, 1.311937, 1.271494, 1.224806, 1.180712, 1.139058, 
    1.100541, 1.070956, 1.055809, 1.056053, 1.079642, 1.13058, 1.20877, 
    1.32335, 1.483463, 1.682757, 1.892341, 2.113121, 2.356646, 2.590522, 
    2.768319, 2.864941, 2.865143, 2.769273, 2.622119, 2.443478, 2.233398, 
    2.017072, 1.816386, 1.636687, 1.496817, 1.413886, 1.374003, 1.33972, 
    1.295783, 1.238792, 1.176557, 1.115379, 1.058054, 1.01167, 0.9826322, 
    0.9623424, 0.9541507, 0.9617658, 0.9819317, 1.007689, 1.044471, 1.09904, 
    1.165363, 1.227485, 1.295054, 1.362625, 1.424748, 1.481972, 1.538495, 
    1.58024, 1.59494, 1.59494, 1.594438, 1.59394, 1.59394, 1.594288, 
    1.596594, 1.621382,
  1.784162, 1.875215, 2.044816, 2.214567, 2.371261, 2.527603, 2.696706, 
    2.85604, 2.939311, 2.933661, 2.824979, 2.659984, 2.504842, 2.349348, 
    2.180847, 2.012099, 1.856957, 1.721059, 1.622958, 1.586954, 1.586954, 
    1.586954, 1.586954, 1.586954, 1.586954, 1.586954, 1.586954, 1.586954, 
    1.586954, 1.586954, 1.586954, 1.586954, 1.586954, 1.586954, 1.586954, 
    1.586954, 1.586954, 1.586954, 1.586954, 1.586954, 1.586954, 1.586954, 
    1.587103, 1.589649, 1.595194, 1.60179, 1.610886, 1.62018, 1.628676, 
    1.636473, 1.644819, 1.651767, 1.65567, 1.655374, 1.652128, 1.644832, 
    1.635936, 1.62634, 1.616495, 1.607351, 1.599202, 1.591754, 1.585506, 
    1.580706, 1.578954, 1.578954, 1.579451, 1.580099, 1.580699, 1.580948, 
    1.580948, 1.581248, 1.584451, 1.59431, 1.61988, 1.670013, 1.744058, 
    1.839111, 1.958822, 2.07269, 2.146024, 2.205362, 2.250111, 2.280903, 
    2.285683, 2.251239, 0.2238937, 0, 0, 0.6920843, 1.843639, 1.961954, 
    1.974761, 1.980567, 1.982373, 1.972482, 1.954535, 1.92748, 1.889821, 
    1.843754, 1.793237, 1.737469, 1.667894, 1.587125, 1.510159, 1.436697, 
    1.374733, 1.339216, 1.331844, 1.347916, 1.390919, 1.457095, 1.53161, 
    1.61136, 1.69215, 1.754451, 1.783736, 1.78401, 1.758252, 1.712729, 
    1.659785, 1.600566, 1.536116, 1.478168, 1.432407, 1.396775, 1.37302, 
    1.359101, 1.354067, 1.354624, 1.361225, 1.371421, 1.381818, 1.391515, 
    1.402361, 1.410407, 1.413555, 1.409707, 1.393213, 1.362868, 1.326075, 
    1.28613, 1.244283, 1.214478, 1.210809, 1.239673, 1.307267, 1.406645, 
    1.522569, 1.647237, 1.767807, 1.86185, 1.901826, 1.872195, 1.765054, 
    1.611785, 1.447321, 1.270616, 1.079528, 0.9122759, 0.7912027, 0.7163051, 
    0.7070305, 0.7496942, 0.8075497, 0.8745051, 0.95886, 1.061368, 1.161576, 
    1.257903, 1.35236, 1.430018, 1.491425, 1.545832, 1.598087, 1.635891, 
    1.652746, 1.660852, 1.662942, 1.662942, 1.662942, 1.662942, 1.662942, 
    1.662942, 1.662942, 1.662942, 1.662942, 1.662942, 1.662942, 1.662942, 
    1.662942, 1.661449, 1.638731, 1.560369, 1.445261, 1.313903, 1.18439, 
    1.047874, 0.8993582, 0.7524877, 0.6209975, 0.518879, 0.4800934, 
    0.4898927, 0.5403239, 0.6379948, 0.8045403, 0.9989881, 1.167959, 
    1.310702, 1.42992, 1.518763, 1.572378, 1.595221, 1.570941, 1.490776, 
    1.403399, 1.331053, 1.289035, 1.277248, 1.281, 1.287892, 1.298383, 
    1.300477, 1.29198, 1.275091, 1.247762, 1.215737, 1.184558, 1.153727, 
    1.12289, 1.097298, 1.082096, 1.079837, 1.099122, 1.144753, 1.217029, 
    1.322193, 1.465029, 1.640244, 1.822248, 2.013344, 2.224378, 2.425108, 
    2.578065, 2.662119, 2.663073, 2.580018, 2.452889, 2.300233, 2.121898, 
    1.939423, 1.769841, 1.614935, 1.491401, 1.417585, 1.384306, 1.355572, 
    1.313269, 1.256311, 1.196309, 1.140872, 1.089934, 1.048397, 1.022353, 
    1.004356, 0.9998696, 1.014395, 1.041168, 1.069677, 1.103024, 1.1483, 
    1.205876, 1.259252, 1.317528, 1.375551, 1.428775, 1.477098, 1.524773, 
    1.5616, 1.575948, 1.575596, 1.574947, 1.574445, 1.574445, 1.574445, 
    1.578701, 1.630773,
  1.832112, 1.940659, 2.14229, 2.344323, 2.530396, 2.716122, 2.917453, 
    3.104326, 3.196908, 3.190754, 3.068962, 2.873634, 2.689461, 2.504587, 
    2.304307, 2.104177, 1.919651, 1.752621, 1.62254, 1.571458, 1.571458, 
    1.571458, 1.571458, 1.571458, 1.571458, 1.57181, 1.571961, 1.571961, 
    1.571961, 1.571961, 1.571961, 1.571961, 1.571961, 1.572313, 1.572464, 
    1.572464, 1.572464, 1.572464, 1.572464, 1.572464, 1.572464, 1.572112, 
    1.572011, 1.573207, 1.576953, 1.582098, 1.589392, 1.596737, 1.603682, 
    1.609926, 1.616822, 1.622768, 1.627168, 1.628071, 1.626125, 1.620127, 
    1.61243, 1.604737, 1.596491, 1.588643, 1.581698, 1.575102, 1.569503, 
    1.565206, 1.563207, 1.562955, 1.562955, 1.563104, 1.563452, 1.563452, 
    1.563905, 1.564255, 1.568458, 1.581417, 1.61469, 1.67763, 1.767073, 
    1.879972, 2.021836, 2.162621, 2.254341, 2.328185, 2.391491, 2.439245, 
    2.458296, 1.542797, 0.1150538, 0, 0, 0.6842571, 1.923994, 2.052612, 
    2.065757, 2.071198, 2.072038, 2.06248, 1.522328, 0.9822336, 1.866663, 
    1.917316, 1.861402, 1.80024, 1.724378, 1.638166, 1.558114, 1.482615, 
    1.417712, 1.378206, 1.364341, 1.371468, 1.401189, 1.449711, 1.503226, 
    1.558837, 1.613044, 1.651306, 1.66483, 1.658769, 1.632574, 1.593938, 
    1.554358, 1.513734, 1.472869, 1.439509, 1.415494, 1.397428, 1.385852, 
    1.380118, 1.37983, 1.382333, 1.389586, 1.398482, 1.407327, 1.415471, 
    1.424465, 1.431613, 1.434061, 1.430561, 1.415715, 1.387471, 1.353078, 
    1.315537, 1.275142, 1.24394, 1.234324, 1.251645, 1.300997, 1.377187, 
    1.46812, 1.56605, 1.661688, 1.737089, 1.770173, 1.746589, 1.658488, 
    1.531406, 1.395634, 1.250418, 1.094708, 0.9586877, 0.8622011, 0.803843, 
    0.8037194, 0.8501272, 0.9097821, 0.9785368, 1.064441, 1.167637, 1.2625, 
    1.348263, 1.428223, 1.49098, 1.538344, 1.578355, 1.614961, 1.636565, 
    1.641441, 1.642141, 1.642441, 1.642441, 1.642441, 1.642441, 1.642441, 
    1.642441, 1.642441, 1.642793, 1.642944, 1.642944, 1.642944, 1.642944, 
    1.642944, 1.642644, 1.627455, 1.561538, 1.460778, 1.344471, 1.228612, 
    1.105052, 0.9706977, 0.8361881, 0.7127737, 0.6103396, 0.5637301, 
    0.5580424, 0.5861843, 0.6556028, 0.7846944, 0.9417844, 1.081045, 
    1.202481, 1.309092, 1.394781, 1.453947, 1.491789, 1.491959, 1.442699, 
    1.381978, 1.330693, 1.301785, 1.295503, 1.299603, 1.304751, 1.312093, 
    1.312439, 1.304087, 1.289438, 1.266945, 1.241156, 1.215366, 1.189576, 
    1.162836, 1.139641, 1.124645, 1.120493, 1.135031, 1.173509, 1.236832, 
    1.327436, 1.447068, 1.590874, 1.738022, 1.891463, 2.059535, 2.218518, 
    2.338321, 2.40356, 2.402144, 2.334537, 2.232861, 2.113708, 1.977079, 
    1.839409, 1.71183, 1.592287, 1.495221, 1.437025, 1.412101, 1.386101, 
    1.340284, 1.278465, 1.215047, 1.158982, 1.106914, 1.065402, 1.041508, 
    1.024963, 1.026836, 1.049909, 1.084832, 1.119056, 1.156631, 1.201251, 
    1.252891, 1.29822, 1.347542, 1.396317, 1.441045, 1.480873, 1.519697, 
    1.547922, 1.559207, 1.558255, 1.557453, 1.556805, 1.556453, 1.556453, 
    1.562105, 1.634247,
  1.858032, 1.980563, 2.207168, 2.433872, 2.642724, 2.851575, 3.077329, 
    3.287786, 3.392672, 3.38552, 3.247775, 3.028721, 2.821769, 2.61447, 
    2.390117, 2.165211, 1.957559, 1.766356, 1.61512, 1.557968, 1.557968, 
    1.557968, 1.557968, 1.557968, 1.557968, 1.558316, 1.558465, 1.558465, 
    1.558716, 1.558968, 1.558968, 1.558968, 1.559219, 1.559818, 1.559968, 
    1.559968, 1.559968, 1.559968, 1.559968, 1.559968, 1.559968, 1.55962, 
    1.559018, 1.559266, 1.56096, 1.564053, 1.569399, 1.574642, 1.579687, 
    1.584383, 1.589378, 1.593823, 1.597419, 1.598919, 1.598072, 1.592923, 
    1.58693, 1.580933, 1.574438, 1.568094, 1.562698, 1.557653, 1.553007, 
    1.549508, 1.548211, 1.547962, 1.547962, 1.547962, 1.547962, 1.547962, 
    1.54846, 1.549262, 1.554214, 1.570724, 1.613051, 1.69039, 1.795584, 
    1.926684, 2.091647, 2.261823, 2.385628, 2.482108, 2.568528, 2.640355, 
    2.683938, 0.8082674, 0, 0, 0, 0, 1.917155, 2.148414, 2.156742, 2.157023, 
    2.152253, 2.138789, 1.597704, 1.057266, 1.924831, 1.968415, 1.907854, 
    1.842744, 1.763337, 1.674333, 1.593832, 1.518935, 1.453636, 1.412131, 
    1.39357, 1.393905, 1.414182, 1.452806, 1.495984, 1.54021, 1.582638, 
    1.610569, 1.617911, 1.60986, 1.586269, 1.552684, 1.5197, 1.48742, 
    1.457394, 1.434613, 1.420784, 1.411851, 1.407265, 1.406677, 1.409583, 
    1.413538, 1.421438, 1.429035, 1.436081, 1.442426, 1.44907, 1.454814, 
    1.456311, 1.452559, 1.43836, 1.412566, 1.380824, 1.346282, 1.308039, 
    1.276841, 1.262832, 1.27086, 1.304271, 1.359968, 1.429165, 1.504662, 
    1.579962, 1.639926, 1.667763, 1.649426, 1.577968, 1.474631, 1.364695, 
    1.247415, 1.121539, 1.012256, 0.9364561, 0.8924932, 0.8999084, 0.9489149, 
    1.010018, 1.080221, 1.166872, 1.262786, 1.344702, 1.417518, 1.483129, 
    1.53099, 1.564803, 1.590915, 1.612326, 1.619743, 1.620443, 1.620792, 
    1.620941, 1.620941, 1.620941, 1.621293, 1.621443, 1.621443, 1.621443, 
    1.622143, 1.622443, 1.622443, 1.622443, 1.622443, 1.622443, 1.622143, 
    1.609195, 1.552865, 1.466856, 1.36655, 1.26534, 1.156782, 1.038625, 
    0.9197706, 0.8102614, 0.7179001, 0.6721638, 0.6577531, 0.6710289, 
    0.7175338, 0.8133087, 0.9357781, 1.047516, 1.148065, 1.241281, 1.321512, 
    1.382908, 1.43032, 1.449605, 1.426761, 1.389311, 1.356749, 1.33937, 
    1.33637, 1.339616, 1.342857, 1.346697, 1.344789, 1.33634, 1.322644, 
    1.302952, 1.28056, 1.25837, 1.236531, 1.213743, 1.193252, 1.180159, 
    1.176162, 1.187808, 1.219592, 1.273116, 1.347976, 1.443009, 1.552916, 
    1.662563, 1.77535, 1.897224, 2.011798, 2.096602, 2.139792, 2.132174, 
    2.08072, 2.007151, 1.9238, 1.83127, 1.740246, 1.655611, 1.574113, 
    1.507597, 1.468146, 1.448348, 1.41908, 1.366259, 1.297138, 1.227019, 
    1.165303, 1.106937, 1.060422, 1.034706, 1.018805, 1.028274, 1.060299, 
    1.103522, 1.146396, 1.19307, 1.24484, 1.295343, 1.337094, 1.38079, 
    1.420717, 1.457546, 1.489826, 1.519753, 1.53918, 1.544965, 1.543765, 
    1.542062, 1.54116, 1.54046, 1.54046, 1.54661, 1.62802,
  1.864, 1.995266, 2.238499, 2.48103, 2.704858, 2.928334, 3.170216, 3.397047, 
    3.51297, 3.505319, 3.354042, 3.118809, 2.897132, 2.675456, 2.435475, 
    2.194395, 1.971767, 1.765591, 1.604725, 1.546471, 1.546471, 1.546471, 
    1.546471, 1.546471, 1.546471, 1.546471, 1.546522, 1.546974, 1.547223, 
    1.547471, 1.547924, 1.547974, 1.548223, 1.548823, 1.548974, 1.548974, 
    1.548974, 1.548974, 1.548974, 1.548974, 1.548974, 1.548622, 1.548024, 
    1.547974, 1.547971, 1.548665, 1.551858, 1.554702, 1.557697, 1.560339, 
    1.563385, 1.565879, 1.567925, 1.569274, 1.569075, 1.564878, 1.560681, 
    1.556136, 1.551893, 1.547396, 1.543451, 1.540205, 1.537009, 1.534814, 
    1.534466, 1.534466, 1.534466, 1.534466, 1.534466, 1.534466, 1.534566, 
    1.535766, 1.54172, 1.562733, 1.614909, 1.707299, 1.828842, 1.978389, 
    2.166348, 2.364872, 2.520838, 2.641789, 2.755563, 2.40214, 1.398191, 
    0.4219941, 0, 0, 0, 0, 2.013505, 2.2455, 2.244221, 2.235593, 2.221967, 
    2.202248, 2.169386, 2.126722, 2.070604, 2.005834, 1.941324, 1.872967, 
    1.79101, 1.701662, 1.621314, 1.547617, 1.482517, 1.439665, 1.41806, 
    1.412544, 1.425076, 1.454704, 1.489482, 1.525663, 1.560294, 1.582833, 
    1.58793, 1.580433, 1.560443, 1.532559, 1.505725, 1.480644, 1.458813, 
    1.443282, 1.435796, 1.432157, 1.43272, 1.43628, 1.441586, 1.44724, 
    1.455391, 1.46224, 1.467586, 1.471528, 1.47557, 1.478863, 1.478809, 
    1.474205, 1.460457, 1.436812, 1.40807, 1.376176, 1.340936, 1.31104, 
    1.294586, 1.29562, 1.316091, 1.355005, 1.405961, 1.463217, 1.521728, 
    1.569047, 1.592336, 1.579251, 1.522939, 1.44094, 1.353495, 1.260454, 
    1.160366, 1.07392, 1.015713, 0.9840915, 0.9972066, 1.048211, 1.110011, 
    1.18056, 1.262184, 1.344447, 1.413664, 1.473429, 1.525043, 1.558506, 
    1.578521, 1.591187, 1.598803, 1.5996, 1.599948, 1.599948, 1.599948, 
    1.600099, 1.600451, 1.600799, 1.600998, 1.601451, 1.601451, 1.601799, 
    1.6024, 1.602451, 1.602451, 1.602803, 1.602953, 1.602653, 1.589953, 
    1.541223, 1.470865, 1.386807, 1.300848, 1.207536, 1.105679, 0.8534964, 
    0.6592191, 0.8318026, 0.7904622, 0.774213, 0.7813042, 0.8163881, 
    0.8912517, 0.9899557, 1.082415, 1.167886, 1.250715, 1.32465, 1.382837, 
    1.430528, 1.45678, 1.448301, 1.423871, 1.401537, 1.388088, 1.38378, 
    1.38412, 1.383407, 1.383699, 1.379143, 1.370842, 1.358697, 1.341954, 
    1.322964, 1.304374, 1.286483, 1.267743, 1.250852, 1.239907, 1.23701, 
    1.247608, 1.274649, 1.318625, 1.379742, 1.453546, 1.534484, 1.612419, 
    1.690699, 1.773316, 1.847527, 1.900353, 1.924161, 1.912557, 1.875186, 
    1.82689, 1.774053, 1.718077, 1.666159, 1.618691, 1.570517, 1.529921, 
    1.50329, 1.481075, 1.444505, 1.383231, 1.305959, 1.228992, 1.161125, 
    1.096911, 1.044696, 1.015443, 1.000197, 1.014403, 1.053716, 1.105238, 
    1.15676, 1.212584, 1.272105, 1.323557, 1.365557, 1.408457, 1.444157, 
    1.475549, 1.500279, 1.521305, 1.532082, 1.53272, 1.530917, 1.529019, 
    1.527669, 1.526718, 1.526466, 1.532666, 1.616469,
  1.860985, 1.996792, 2.249357, 2.500571, 2.732535, 2.963799, 3.215015, 
    3.450529, 3.572839, 3.564939, 3.405976, 3.162114, 2.93255, 2.702986, 
    2.454422, 2.204759, 1.973995, 1.760735, 1.595478, 1.536477, 1.536477, 
    1.536477, 1.536477, 1.536477, 1.536477, 1.536477, 1.536577, 1.537477, 
    1.537477, 1.537829, 1.538428, 1.538628, 1.53898, 1.539328, 1.539528, 
    1.53998, 1.53998, 1.53998, 1.53998, 1.539829, 1.539477, 1.539129, 
    1.53893, 1.538477, 1.538229, 1.537628, 1.538423, 1.539118, 1.539711, 
    1.539956, 1.540448, 1.540943, 1.540937, 1.540931, 1.540278, 1.537683, 
    1.534937, 1.532543, 1.530398, 1.528005, 1.526211, 1.524414, 1.52302, 
    1.522472, 1.522472, 1.522472, 1.522472, 1.522472, 1.522472, 1.522472, 
    1.522572, 1.523772, 1.531226, 1.557239, 1.620168, 1.727705, 1.865847, 
    2.034095, 2.245104, 2.471522, 2.657359, 2.812782, 2.962491, 2.150171, 0, 
    0, 0, 0, 0, 0, 1.025924, 1.492651, 2.307354, 2.293354, 2.274503, 
    2.250952, 2.215852, 2.168493, 2.105475, 2.033609, 1.964796, 1.893891, 
    1.81064, 1.721942, 1.642796, 1.570299, 1.506355, 1.463004, 1.43955, 
    1.429041, 1.43407, 1.455601, 1.482482, 1.511464, 1.5395, 1.558542, 
    1.563194, 1.5577, 1.542113, 1.520278, 1.49899, 1.480506, 1.465823, 
    1.457138, 1.45455, 1.455111, 1.46012, 1.466877, 1.474583, 1.481937, 
    1.490287, 1.495932, 1.499578, 1.500772, 1.502015, 1.502256, 1.500301, 
    1.494498, 1.480998, 1.459052, 1.433309, 1.404418, 1.372828, 1.345184, 
    1.328085, 1.324628, 1.335457, 1.361428, 1.397746, 1.440013, 1.484481, 
    1.521308, 1.540648, 1.533062, 1.490745, 1.427139, 1.359786, 1.288238, 
    1.21069, 1.144138, 1.101475, 1.080149, 1.097958, 1.149708, 1.208743, 
    1.272662, 1.342076, 1.41009, 1.466105, 1.512673, 1.550438, 1.569803, 
    1.576721, 1.580157, 1.580905, 1.580955, 1.580955, 1.580955, 1.580955, 
    1.581255, 1.581955, 1.581955, 1.582457, 1.582955, 1.583206, 1.583457, 
    1.583955, 1.584457, 1.584457, 1.585157, 1.585457, 1.585157, 1.575472, 
    1.537809, 1.483348, 1.415238, 1.344625, 1.266313, 1.180753, 0.9467948, 
    0.7687821, 0.9498504, 0.9109534, 0.8950544, 0.9008062, 0.9321027, 
    0.9963846, 1.078596, 1.15596, 1.230182, 1.304911, 1.372694, 1.425128, 
    1.46741, 1.491296, 1.4876, 1.469864, 1.452825, 1.439475, 1.432217, 
    1.428357, 1.423448, 1.420741, 1.414488, 1.406339, 1.396094, 1.382503, 
    1.367363, 1.352623, 1.338583, 1.323743, 1.310452, 1.301407, 1.299358, 
    1.309407, 1.332497, 1.368128, 1.417049, 1.475214, 1.535922, 1.593231, 
    1.649489, 1.706339, 1.753539, 1.784048, 1.795678, 1.783378, 1.755648, 
    1.723578, 1.689763, 1.6554, 1.62729, 1.602977, 1.577268, 1.551791, 
    1.528892, 1.500525, 1.458518, 1.38925, 1.303931, 1.221219, 1.147606, 
    1.078395, 1.02224, 0.9931936, 0.9806026, 0.9965051, 1.03936, 1.097975, 
    1.157645, 1.222718, 1.28672, 1.338771, 1.381023, 1.423872, 1.45912, 
    1.488518, 1.506704, 1.519235, 1.522167, 1.520467, 1.518067, 1.516518, 
    1.515821, 1.514972, 1.514472, 1.520622, 1.605022,
  1.854985, 1.993592, 2.251302, 2.507262, 2.74377, 2.979579, 3.235939, 
    3.476198, 3.601804, 3.593704, 3.430998, 3.182889, 2.94878, 2.715023, 
    2.461513, 2.207555, 1.972246, 1.755138, 1.587181, 1.527981, 1.527981, 
    1.527981, 1.527981, 1.527981, 1.528232, 1.528483, 1.528533, 1.529131, 
    1.529483, 1.530183, 1.530483, 1.530783, 1.531483, 1.531835, 1.532035, 
    1.532483, 1.532483, 1.532483, 1.532483, 1.532334, 1.531985, 1.531634, 
    1.531383, 1.530483, 1.530483, 1.529783, 1.529433, 1.528831, 1.528232, 
    1.527632, 1.526533, 1.525681, 1.524481, 1.523281, 1.52193, 1.520029, 
    1.518481, 1.516929, 1.515478, 1.514328, 1.513727, 1.512778, 1.512428, 
    1.511976, 1.511976, 1.511976, 1.511976, 1.511976, 1.511976, 1.511976, 
    1.512478, 1.513427, 1.522481, 1.553593, 1.627418, 1.750106, 1.904594, 
    2.091639, 2.325845, 2.580013, 2.799593, 2.992556, 3.173603, 2.314894, 0, 
    0, 0, 0, 0, 0, 0, 0.7074363, 2.352367, 2.336459, 2.315349, 2.288031, 
    2.250068, 2.19916, 2.129494, 2.051229, 1.978019, 1.905517, 1.823122, 
    1.736028, 1.659034, 1.588691, 1.526796, 1.484351, 1.4598, 1.445742, 
    1.443978, 1.457458, 1.477493, 1.499627, 1.522616, 1.538911, 1.54371, 
    1.540465, 1.529676, 1.513639, 1.497754, 1.485016, 1.476329, 1.473191, 
    1.4748, 1.479208, 1.487616, 1.497474, 1.507329, 1.51578, 1.523728, 
    1.527976, 1.529319, 1.527862, 1.525953, 1.522494, 1.518036, 1.511134, 
    1.497634, 1.477791, 1.4553, 1.430008, 1.40277, 1.378631, 1.362334, 
    1.35653, 1.36122, 1.377099, 1.401773, 1.432047, 1.464772, 1.493353, 
    1.509949, 1.507662, 1.477991, 1.430879, 1.381319, 1.328963, 1.272012, 
    1.223403, 1.194735, 1.182154, 1.202307, 1.247877, 1.297445, 1.348061, 
    1.402524, 1.455737, 1.498305, 1.531772, 1.555438, 1.562613, 1.562961, 
    1.56331, 1.563459, 1.563459, 1.56371, 1.563961, 1.563961, 1.564111, 
    1.56471, 1.564961, 1.565459, 1.565961, 1.566461, 1.566961, 1.567463, 
    1.567961, 1.568212, 1.568812, 1.569413, 1.569164, 1.565227, 1.542062, 
    1.502899, 1.450486, 1.394872, 1.331558, 1.262198, 1.192685, 1.128771, 
    1.069389, 1.031441, 1.016344, 1.022544, 1.052893, 1.111232, 1.178848, 
    1.241713, 1.303882, 1.369558, 1.430692, 1.476626, 1.511708, 1.528688, 
    1.524432, 1.511843, 1.499606, 1.487311, 1.477657, 1.469848, 1.461339, 
    1.455883, 1.449133, 1.442087, 1.434345, 1.424102, 1.413264, 1.402372, 
    1.392181, 1.381642, 1.371549, 1.364655, 1.363709, 1.373157, 1.391846, 
    1.419375, 1.456697, 1.501063, 1.546178, 1.588746, 1.629914, 1.66993, 
    1.701302, 1.719633, 1.725373, 1.71252, 1.691483, 1.669152, 1.646472, 
    1.623492, 1.606708, 1.592722, 1.577685, 1.560301, 1.538306, 1.506002, 
    1.462854, 1.390455, 1.297939, 1.210227, 1.13267, 1.059361, 1.000051, 
    0.9727052, 0.9621564, 0.9790086, 1.02326, 1.086469, 1.152832, 1.223286, 
    1.287836, 1.340488, 1.382988, 1.425788, 1.460286, 1.487981, 1.502375, 
    1.508865, 1.508164, 1.506464, 1.504415, 1.503116, 1.503468, 1.503471, 
    1.503825, 1.509674, 1.594777,
  1.850493, 1.991196, 2.252805, 2.512664, 2.752772, 2.992181, 3.251988, 
    3.496097, 3.624052, 3.615852, 3.450897, 3.199138, 2.961782, 2.724773, 
    2.467516, 2.209805, 1.971249, 1.750892, 1.580839, 1.521338, 1.520986, 
    1.520986, 1.521036, 1.521488, 1.521737, 1.521986, 1.522438, 1.522638, 
    1.523237, 1.523837, 1.524438, 1.524788, 1.525488, 1.526188, 1.526488, 
    1.526488, 1.526739, 1.526991, 1.526539, 1.526488, 1.526488, 1.525788, 
    1.525388, 1.524488, 1.524237, 1.523638, 1.522986, 1.522338, 1.521737, 
    1.521137, 1.519986, 1.518686, 1.517486, 1.516286, 1.514484, 1.512535, 
    1.510984, 1.509084, 1.507484, 1.506184, 1.505232, 1.504633, 1.503982, 
    1.503484, 1.503484, 1.503484, 1.503484, 1.503484, 1.503484, 1.503484, 
    1.503982, 1.504933, 1.515486, 1.551949, 1.635722, 1.772853, 1.943089, 
    2.14798, 2.404129, 2.685339, 2.937062, 3.155521, 3.356116, 3.018297, 
    0.9413843, 0, 0, 0, 0, 0, 0.1218676, 1.572193, 2.390063, 2.371158, 
    2.345747, 2.313441, 2.271284, 2.216524, 2.14287, 2.059813, 1.983507, 
    1.910005, 1.829609, 1.745266, 1.671526, 1.605137, 1.546246, 1.5055, 
    1.481051, 1.465351, 1.45834, 1.464324, 1.477758, 1.493644, 1.511732, 
    1.525274, 1.529974, 1.528378, 1.521284, 1.510646, 1.500509, 1.492821, 
    1.489182, 1.489135, 1.492033, 1.497379, 1.505621, 1.515262, 1.524505, 
    1.531647, 1.53764, 1.539782, 1.539481, 1.537435, 1.533986, 1.529792, 
    1.524998, 1.518803, 1.507714, 1.491826, 1.473537, 1.4528, 1.430713, 
    1.411024, 1.397333, 1.390984, 1.392027, 1.400864, 1.416547, 1.437478, 
    1.460457, 1.481841, 1.496737, 1.49975, 1.481274, 1.449308, 1.415845, 
    1.380281, 1.342273, 1.31001, 1.294239, 1.289306, 1.305686, 1.338053, 
    1.37392, 1.410135, 1.449048, 1.487264, 1.516282, 1.536551, 1.54652, 
    1.547967, 1.547967, 1.547967, 1.547967, 1.547967, 1.548216, 1.548465, 
    1.548515, 1.548967, 1.549216, 1.549816, 1.550067, 1.550967, 1.551467, 
    1.551967, 1.552867, 1.553118, 1.553718, 1.554319, 1.554917, 1.554818, 
    1.554221, 1.54244, 1.518426, 1.481562, 1.440596, 1.39193, 1.338616, 
    1.283699, 1.229711, 1.176422, 1.13636, 1.117339, 1.119169, 1.147611, 
    1.198135, 1.250748, 1.301324, 1.354713, 1.412599, 1.467586, 1.507523, 
    1.537667, 1.546901, 1.54341, 1.53527, 1.527478, 1.519042, 1.510601, 
    1.50281, 1.495021, 1.488523, 1.481923, 1.476577, 1.471934, 1.465595, 
    1.458803, 1.452115, 1.445774, 1.439533, 1.432792, 1.42865, 1.4287, 
    1.435942, 1.448876, 1.467103, 1.492323, 1.522992, 1.553859, 1.583228, 
    1.611549, 1.638119, 1.658846, 1.670634, 1.673329, 1.661335, 1.645498, 
    1.62966, 1.613471, 1.597334, 1.586044, 1.577204, 1.567316, 1.555778, 
    1.533522, 1.500472, 1.45938, 1.388385, 1.29138, 1.199974, 1.119769, 
    1.043212, 0.9803556, 0.9542067, 0.9448611, 0.9624625, 1.007364, 1.072214, 
    1.139505, 1.209349, 1.273949, 1.326949, 1.3698, 1.412701, 1.446449, 
    1.472697, 1.487053, 1.419216, 0.9710834, 1.493474, 1.492277, 1.491578, 
    1.492278, 1.49323, 1.494531, 1.500281, 1.586232,
  1.849502, 1.981058, 2.22723, 2.472506, 2.698736, 2.924617, 3.169141, 
    3.398617, 3.518727, 3.510427, 3.356883, 3.120309, 2.897179, 2.67405, 
    2.431824, 2.189302, 1.964722, 1.748497, 1.576491, 1.516691, 1.515991, 
    1.515991, 1.516493, 1.516991, 1.516991, 1.516991, 1.517891, 1.518142, 
    1.518742, 1.519343, 1.519992, 1.520793, 1.521493, 1.522193, 1.522493, 
    1.522493, 1.522993, 1.523493, 1.522593, 1.522493, 1.522493, 1.521793, 
    1.521393, 1.520343, 1.519742, 1.519142, 1.518493, 1.517842, 1.517242, 
    1.516291, 1.514991, 1.513691, 1.512491, 1.511291, 1.509041, 1.507039, 
    1.50524, 1.50344, 1.501539, 1.500189, 1.498989, 1.498489, 1.497589, 
    1.497489, 1.497489, 1.497489, 1.497489, 1.497489, 1.497489, 1.497489, 
    1.497589, 1.498789, 1.510491, 1.551951, 1.644921, 1.794647, 1.979328, 
    2.200763, 2.477258, 2.782559, 3.064022, 3.30557, 3.523454, 3.730936, 
    2.943561, 0.6146145, 0, 0, 0, 0, 0.2436045, 2.430943, 2.41028, 2.387518, 
    2.358763, 2.323958, 2.279756, 2.222253, 2.148255, 2.064358, 1.986507, 
    1.911804, 1.831851, 1.751161, 1.68152, 1.61958, 1.565141, 1.527451, 
    1.504305, 1.488856, 1.478703, 1.478541, 1.485276, 1.495162, 1.507398, 
    1.517339, 1.520984, 1.520436, 1.516393, 1.510352, 1.50476, 1.501268, 
    1.500571, 1.501472, 1.503269, 1.506815, 1.511657, 1.518001, 1.524244, 
    1.528388, 1.53123, 1.53148, 1.531231, 1.530282, 1.527986, 1.525237, 
    1.52224, 1.518546, 1.511755, 1.501016, 1.487778, 1.472792, 1.456656, 
    1.442371, 1.43283, 1.427835, 1.427335, 1.431527, 1.440814, 1.453947, 
    1.469082, 1.484169, 1.495758, 1.501759, 1.493432, 1.474909, 1.455839, 
    1.435372, 1.414158, 1.397141, 1.392966, 1.393323, 1.401405, 1.419573, 
    1.44114, 1.463059, 1.486575, 1.50979, 1.525009, 1.53218, 1.534023, 
    1.534471, 1.534471, 1.534471, 1.534471, 1.534471, 1.534471, 1.534471, 
    1.534571, 1.535471, 1.535722, 1.536321, 1.536972, 1.537621, 1.538473, 
    1.538973, 1.539873, 1.540273, 1.540973, 1.541673, 1.542023, 1.542475, 
    1.542475, 1.538643, 1.529877, 1.50816, 1.481593, 1.447325, 1.409259, 
    1.364372, 1.315434, 1.267196, 1.221833, 1.194064, 1.186893, 1.205256, 
    1.241516, 1.279938, 1.323027, 1.371365, 1.423552, 1.472839, 1.507729, 
    1.533867, 1.54253, 1.541582, 1.537993, 1.534404, 1.530512, 1.526623, 
    1.522783, 1.519291, 1.515552, 1.511664, 1.508821, 1.506675, 1.504483, 
    1.501493, 1.499353, 1.497213, 1.49462, 1.492181, 1.490887, 1.490986, 
    1.493774, 1.498955, 1.506579, 1.519452, 1.536471, 1.55354, 1.569962, 
    1.586035, 1.601313, 1.613998, 1.621389, 1.622135, 1.613344, 1.602203, 
    1.591414, 1.579925, 1.568735, 1.561443, 1.555948, 1.550105, 1.543215, 
    1.519263, 1.484957, 1.444352, 1.373748, 1.276201, 1.184455, 1.103909, 
    1.025707, 0.9603023, 0.9306856, 0.9189205, 0.9339073, 0.9763449, 
    1.038131, 1.101321, 1.168415, 1.232362, 1.28712, 1.334539, 1.382059, 
    1.419478, 1.449697, 1.470119, 0.7395599, 0.2221915, 0.7406383, 1.263092, 
    1.487502, 1.488454, 1.489502, 1.489848, 1.493487, 1.579839,
  1.83845, 1.950759, 2.160524, 2.372652, 2.567935, 2.762866, 2.974044, 
    3.169919, 3.265149, 3.259662, 3.135887, 2.933061, 2.740878, 2.548695, 
    2.340271, 2.131542, 1.937911, 1.742879, 1.57224, 1.51234, 1.511991, 
    1.511991, 1.512439, 1.512489, 1.51274, 1.512991, 1.51349, 1.514141, 
    1.51474, 1.515691, 1.516493, 1.517291, 1.517991, 1.518691, 1.519041, 
    1.519493, 1.519742, 1.519991, 1.519543, 1.519343, 1.518991, 1.518291, 
    1.517891, 1.516842, 1.516242, 1.515291, 1.51449, 1.513841, 1.512989, 
    1.512141, 1.510991, 1.509691, 1.50824, 1.506789, 1.504941, 1.502541, 
    1.50074, 1.49894, 1.497041, 1.495691, 1.494491, 1.49364, 1.492991, 
    1.492489, 1.492489, 1.492489, 1.492489, 1.492489, 1.492489, 1.492489, 
    1.492589, 1.493789, 1.506491, 1.552451, 1.653116, 1.813486, 2.01031, 
    2.245988, 2.540774, 2.867168, 3.175223, 3.443041, 3.677832, 3.899011, 
    3.022739, 0.6091803, 0, 0, 0, 0, 0.1217664, 1.214826, 1.808858, 2.393408, 
    2.362202, 2.325147, 2.279996, 2.221895, 2.148396, 2.0662, 1.988, 
    1.911897, 1.831698, 1.755207, 1.689766, 1.632377, 1.582587, 1.548543, 
    1.527297, 1.512348, 1.501448, 1.497192, 1.498282, 1.50252, 1.509009, 
    1.514599, 1.516245, 1.515793, 1.514398, 1.511754, 1.50926, 1.508162, 
    1.508063, 1.50866, 1.509509, 1.511406, 1.513602, 1.516744, 1.519736, 
    1.521331, 1.52238, 1.52248, 1.52248, 1.522132, 1.520933, 1.519035, 
    1.517238, 1.515441, 1.512298, 1.506358, 1.498771, 1.489784, 1.480098, 
    1.471559, 1.466319, 1.463875, 1.463224, 1.464972, 1.469312, 1.476101, 
    1.485039, 1.493974, 1.501015, 1.505608, 1.504719, 1.499048, 1.492825, 
    1.486254, 1.479633, 1.474955, 1.475904, 1.477201, 1.479845, 1.485572, 
    1.493092, 1.50096, 1.509478, 1.517445, 1.521978, 1.522327, 1.522476, 
    1.522476, 1.522476, 1.522476, 1.522476, 1.522476, 1.522476, 1.522476, 
    1.522576, 1.523476, 1.523976, 1.524476, 1.525426, 1.526128, 1.526976, 
    1.527828, 1.528476, 1.529278, 1.529978, 1.530678, 1.531078, 1.531978, 
    1.532229, 1.53248, 1.531883, 1.524714, 1.512295, 1.492175, 1.465292, 
    1.426154, 1.382616, 1.339426, 1.293787, 1.262289, 1.243358, 1.24226, 
    1.25826, 1.287045, 1.324983, 1.368172, 1.414961, 1.458599, 1.488437, 
    1.513745, 1.530065, 1.533331, 1.532483, 1.531283, 1.529535, 1.528185, 
    1.526736, 1.525287, 1.523535, 1.522185, 1.521236, 1.520287, 1.519485, 
    1.518987, 1.518736, 1.518485, 1.518037, 1.517987, 1.517987, 1.517987, 
    1.518037, 1.518485, 1.519732, 1.524472, 1.531961, 1.5399, 1.54769, 
    1.555128, 1.563369, 1.570308, 1.573648, 1.57385, 1.568859, 1.562269, 
    1.555928, 1.549239, 1.542147, 1.537551, 1.534707, 1.532215, 1.527867, 
    1.502162, 1.464954, 1.421447, 1.349393, 1.252494, 1.162197, 1.082748, 
    1.001134, 0.9298131, 0.8931485, 0.8757385, 0.8853779, 0.9224665, 
    0.9791071, 1.038199, 1.103246, 1.16976, 1.230127, 1.285945, 1.342515, 
    1.388735, 1.428207, 1.45858, 0.7407298, 0, 0, 1.044767, 1.493524, 
    1.494673, 1.494017, 1.490907, 1.490298, 1.577049,
  1.801895, 1.895305, 2.06808, 2.24445, 2.408885, 2.572619, 2.749997, 
    2.912227, 2.98264, 2.979939, 2.886293, 2.716813, 2.555578, 2.394344, 
    2.220116, 2.044636, 1.882102, 1.718167, 1.566034, 1.50749, 1.507489, 
    1.507489, 1.507489, 1.50764, 1.508241, 1.508489, 1.508991, 1.50964, 
    1.510492, 1.51134, 1.51244, 1.513292, 1.513992, 1.514692, 1.515092, 
    1.515992, 1.515992, 1.515992, 1.515992, 1.515692, 1.514992, 1.514292, 
    1.513892, 1.512841, 1.511989, 1.511141, 1.510041, 1.509189, 1.508241, 
    1.50764, 1.506489, 1.50519, 1.503741, 1.50194, 1.500389, 1.49804, 
    1.49624, 1.494441, 1.492992, 1.491692, 1.490492, 1.489292, 1.488892, 
    1.487992, 1.487992, 1.487992, 1.487992, 1.487992, 1.487992, 1.487992, 
    1.488493, 1.489292, 1.502994, 1.552047, 1.65916, 1.827725, 2.034293, 
    2.281464, 2.590489, 2.935677, 3.266671, 3.555293, 3.80125, 4.031159, 
    3.171956, 2.248585, 0.2272535, 0, 0, 0, 0, 0, 1.205749, 2.394346, 
    2.36024, 2.320835, 2.274983, 2.216883, 2.143483, 2.062484, 1.985238, 
    1.910095, 1.832103, 1.757453, 1.695759, 1.642818, 1.597829, 1.565832, 
    1.545532, 1.53048, 1.519329, 1.513579, 1.511776, 1.511719, 1.51346, 
    1.514501, 1.514247, 1.513647, 1.512996, 1.512198, 1.510998, 1.510498, 
    1.510046, 1.509996, 1.510245, 1.511194, 1.511992, 1.512639, 1.513487, 
    1.513987, 1.514887, 1.514987, 1.514987, 1.514987, 1.514439, 1.51334, 
    1.512492, 1.511643, 1.510444, 1.508401, 1.505759, 1.502772, 1.499536, 
    1.496598, 1.495055, 1.494557, 1.494209, 1.495208, 1.496304, 1.498445, 
    1.501934, 1.504772, 1.507513, 1.509208, 1.510456, 1.511004, 1.511004, 
    1.510653, 1.510452, 1.510149, 1.510498, 1.510495, 1.510942, 1.51099, 
    1.510987, 1.511336, 1.511933, 1.512133, 1.512481, 1.512481, 1.512481, 
    1.512481, 1.512481, 1.51213, 1.511979, 1.511979, 1.51223, 1.512481, 
    1.512531, 1.51313, 1.51373, 1.51433, 1.515481, 1.516481, 1.516981, 
    1.518181, 1.518983, 1.519781, 1.520732, 1.521683, 1.522083, 1.522983, 
    1.523483, 1.524335, 1.524485, 1.524636, 1.522249, 1.513216, 1.492778, 
    1.45944, 1.421051, 1.382661, 1.341218, 1.306602, 1.275532, 1.254243, 
    1.250408, 1.269281, 1.302422, 1.340812, 1.382401, 1.422347, 1.453665, 
    1.484982, 1.510602, 1.522523, 1.524483, 1.523635, 1.522485, 1.521185, 
    1.519985, 1.518785, 1.517037, 1.515687, 1.514736, 1.513785, 1.512987, 
    1.512485, 1.511985, 1.511485, 1.511485, 1.511485, 1.511485, 1.511485, 
    1.511485, 1.511485, 1.511734, 1.51338, 1.516021, 1.519211, 1.5222, 
    1.524841, 1.528381, 1.531074, 1.531922, 1.532422, 1.53138, 1.529339, 
    1.527198, 1.524706, 1.522016, 1.520023, 1.518724, 1.517773, 1.513823, 
    1.486772, 1.446466, 1.401266, 1.326458, 1.227499, 1.135941, 0.6967304, 
    0.9106836, 0.8797732, 0.837112, 0.8154538, 0.8222522, 0.8553964, 
    0.9083399, 0.9661922, 1.033153, 1.106569, 1.174635, 1.238853, 1.305024, 
    1.361146, 1.410215, 1.450184, 1.404565, 0.5251033, 0, 0.5220908, 
    0.8222604, 1.505573, 1.501766, 1.494458, 1.489548, 1.571879,
  1.732821, 1.807684, 1.947773, 2.08961, 2.222846, 2.355382, 2.498563, 
    2.630708, 2.691153, 2.688252, 2.609913, 2.472928, 2.342791, 2.213006, 
    2.072575, 1.930894, 1.799558, 1.666822, 1.547942, 1.50249, 1.50249, 
    1.50249, 1.50249, 1.502639, 1.503239, 1.50349, 1.503988, 1.50479, 
    1.50599, 1.50649, 1.50749, 1.50879, 1.509741, 1.51034, 1.510991, 1.51149, 
    1.511741, 1.511992, 1.51154, 1.51134, 1.510741, 1.510141, 1.50944, 
    1.50819, 1.50699, 1.50649, 1.50549, 1.50419, 1.50349, 1.50279, 1.50149, 
    1.50019, 1.49899, 1.497441, 1.49549, 1.493541, 1.491741, 1.490292, 
    1.488992, 1.487692, 1.486492, 1.485643, 1.484992, 1.484494, 1.484494, 
    1.484494, 1.484494, 1.484494, 1.484494, 1.484494, 1.484942, 1.485292, 
    1.499743, 1.550597, 1.661751, 1.836211, 2.049771, 2.305335, 2.624753, 
    2.985581, 3.336369, 3.633934, 3.883592, 4.116546, 4.320398, 2.898598, 
    0.2253792, 0, 0, 0, 0, 0, 0.6002975, 2.029324, 2.355842, 2.31474, 
    2.267235, 2.208884, 2.135534, 2.055436, 1.97999, 1.907695, 1.833452, 
    1.761062, 1.701765, 1.650514, 1.607612, 1.57581, 1.555259, 1.539608, 
    1.527856, 1.521755, 1.519004, 1.517304, 1.516452, 1.515202, 1.514002, 
    1.513151, 1.512501, 1.5117, 1.510751, 1.510151, 1.5091, 1.509, 1.508749, 
    1.508847, 1.508996, 1.508996, 1.509245, 1.509494, 1.509942, 1.509992, 
    1.509992, 1.509992, 1.509942, 1.509494, 1.509245, 1.508996, 1.508548, 
    1.508348, 1.508, 1.508, 1.50805, 1.508502, 1.508502, 1.508853, 1.509054, 
    1.509652, 1.510004, 1.510355, 1.511456, 1.512159, 1.512759, 1.51336, 
    1.51446, 1.515012, 1.514761, 1.51381, 1.512908, 1.511356, 1.510502, 
    1.508949, 1.507946, 1.506692, 1.505741, 1.505138, 1.504536, 1.504486, 
    1.504486, 1.504486, 1.504034, 1.503984, 1.503984, 1.503635, 1.503486, 
    1.503486, 1.503735, 1.503984, 1.504436, 1.504635, 1.505235, 1.506186, 
    1.507435, 1.508134, 1.508986, 1.510186, 1.511436, 1.512137, 1.512986, 
    1.514186, 1.514987, 1.515636, 1.516488, 1.517688, 1.518038, 1.518639, 
    1.519239, 1.511778, 1.489259, 1.454391, 1.413923, 1.373455, 1.329437, 
    1.285815, 1.245598, 1.21063, 1.196823, 1.210779, 1.246096, 1.286314, 
    1.330334, 1.373953, 1.413921, 1.453889, 1.488708, 1.510628, 1.517488, 
    1.516636, 1.515486, 1.514186, 1.512986, 1.511786, 1.510486, 1.509186, 
    1.507986, 1.506786, 1.505984, 1.505335, 1.504735, 1.504134, 1.503984, 
    1.503984, 1.503984, 1.503984, 1.504034, 1.504486, 1.504486, 1.504834, 
    1.505485, 1.506134, 1.506986, 1.507486, 1.508486, 1.509636, 1.510237, 
    1.510837, 1.511436, 1.511486, 1.511486, 1.511137, 1.510536, 1.510186, 
    1.508986, 1.507786, 1.504338, 1.477037, 1.434484, 1.388079, 1.310325, 
    1.206614, 0.8441239, 0.1622372, 0.4564121, 0.8175694, 0.7698596, 
    0.7452555, 0.7520572, 0.7830037, 0.8325964, 0.8912976, 0.962856, 1.04352, 
    1.119386, 1.192104, 1.268073, 1.334393, 1.39221, 1.441279, 1.478548, 
    1.274828, 0.7598291, 0.2286265, 0.1515514, 1.514313, 1.507257, 1.49635, 
    1.485987, 1.546919,
  1.644827, 1.7036, 1.815297, 1.928294, 2.03214, 2.134233, 2.24457, 2.349617, 
    2.405956, 2.403157, 2.332025, 2.225833, 2.12584, 2.026548, 1.918208, 
    1.809571, 1.708578, 1.60724, 1.521904, 1.49749, 1.49749, 1.49749, 
    1.49749, 1.49749, 1.49799, 1.49849, 1.49859, 1.49979, 1.50099, 1.50149, 
    1.50249, 1.50379, 1.50499, 1.50549, 1.50639, 1.506641, 1.507241, 1.50749, 
    1.506992, 1.50649, 1.50599, 1.50549, 1.50449, 1.50319, 1.50199, 1.50149, 
    1.50049, 1.49919, 1.49849, 1.49779, 1.49649, 1.49519, 1.49399, 1.49279, 
    1.491042, 1.489543, 1.487743, 1.486292, 1.484992, 1.483843, 1.482994, 
    1.482494, 1.481594, 1.481494, 1.481494, 1.481494, 1.481494, 1.481494, 
    1.481494, 1.481494, 1.481494, 1.481794, 1.496243, 1.548144, 1.660846, 
    1.838248, 2.056004, 2.317163, 2.644426, 3.017397, 3.385077, 3.69501, 
    3.949472, 4.184326, 4.388626, 1.341338, 0, 0, 0, 0, 0, 0, 0.6036122, 
    1.19294, 2.231973, 2.308836, 2.258982, 2.200382, 2.128086, 2.049891, 
    1.976496, 1.906952, 1.836108, 1.768467, 1.711022, 1.659522, 1.615218, 
    1.582517, 1.560763, 1.54426, 1.53186, 1.524957, 1.521506, 1.519806, 
    1.518506, 1.517055, 1.515504, 1.514655, 1.513954, 1.512704, 1.511753, 
    1.511153, 1.510054, 1.509502, 1.509002, 1.508502, 1.50805, 1.508, 1.508, 
    1.508, 1.508, 1.508, 1.508, 1.508, 1.508, 1.508, 1.508, 1.508, 1.508, 
    1.508, 1.508251, 1.508502, 1.509004, 1.509653, 1.510004, 1.510704, 
    1.511054, 1.511806, 1.512757, 1.513708, 1.51551, 1.517312, 1.518514, 
    1.520067, 1.521518, 1.522518, 1.522269, 1.520968, 1.518464, 1.515411, 
    1.512757, 1.509755, 1.50695, 1.503897, 1.501743, 1.500292, 1.499092, 
    1.498842, 1.49849, 1.49849, 1.498042, 1.497842, 1.49749, 1.49749, 
    1.49749, 1.49749, 1.49749, 1.49749, 1.49839, 1.498641, 1.499241, 1.50019, 
    1.50139, 1.50179, 1.50299, 1.50419, 1.50549, 1.506641, 1.507241, 1.50819, 
    1.50944, 1.510292, 1.511241, 1.51219, 1.513042, 1.513992, 1.514492, 
    1.504492, 1.473728, 1.429158, 1.379941, 1.330724, 1.277354, 1.223585, 
    1.174366, 1.130399, 1.111134, 1.130399, 1.174366, 1.223585, 1.277304, 
    1.330222, 1.37919, 1.428158, 1.472327, 1.503192, 1.512492, 1.511292, 
    1.509992, 1.508541, 1.50699, 1.50579, 1.50449, 1.50319, 1.50199, 1.50079, 
    1.49959, 1.49919, 1.49849, 1.498142, 1.49754, 1.49749, 1.497741, 
    1.497992, 1.498042, 1.49849, 1.49849, 1.498842, 1.49949, 1.500142, 
    1.50099, 1.501842, 1.50254, 1.50379, 1.50449, 1.50519, 1.50549, 1.50549, 
    1.50549, 1.50549, 1.504992, 1.50419, 1.503241, 1.502292, 1.499242, 
    1.47124, 1.426986, 1.378884, 1.300586, 1.193432, 0.5657392, 0, 0.0771388, 
    0.7563856, 0.7043782, 0.678979, 0.6867311, 0.7146226, 0.7603645, 
    0.8190632, 0.8945205, 0.9811805, 1.063892, 1.144858, 1.230075, 1.305341, 
    1.370955, 1.428169, 1.473432, 1.500093, 1.513249, 0.4554, 0.07565161, 
    0.9827071, 1.504984, 1.491431, 1.475421, 1.50652,
  1.563358, 1.609536, 1.697297, 1.785503, 1.864963, 1.94092, 2.022169, 
    2.102025, 2.151058, 2.148308, 2.087931, 2.009179, 1.935925, 1.863019, 
    1.78332, 1.70387, 1.629867, 1.557618, 1.502421, 1.492491, 1.492491, 
    1.492491, 1.492491, 1.492641, 1.493242, 1.493491, 1.493992, 1.49479, 
    1.495991, 1.496842, 1.497541, 1.498791, 1.49974, 1.50034, 1.500989, 
    1.50164, 1.501989, 1.501989, 1.501939, 1.50134, 1.50074, 1.500139, 
    1.49944, 1.498191, 1.497241, 1.496641, 1.495491, 1.494341, 1.493742, 
    1.492791, 1.491942, 1.490692, 1.489492, 1.488292, 1.486992, 1.485693, 
    1.484243, 1.482794, 1.481545, 1.480846, 1.480245, 1.479645, 1.479046, 
    1.478846, 1.478494, 1.478494, 1.478494, 1.478494, 1.478494, 1.478494, 
    1.478946, 1.479146, 1.492994, 1.544292, 1.656789, 1.834036, 2.053236, 
    2.317238, 2.649946, 3.030555, 3.410774, 3.737455, 4.004692, 4.242249, 
    4.448355, 1.359482, 0, 0, 0, 0, 0, 0, 0.5989695, 0.3593817, 1.167384, 
    2.301033, 2.250736, 2.193089, 2.123145, 2.048152, 1.978009, 1.911716, 
    1.844674, 1.78093, 1.724279, 1.672177, 1.626274, 1.59207, 1.568517, 
    1.550564, 1.537311, 1.52931, 1.525259, 1.523308, 1.521556, 1.520056, 
    1.518508, 1.517656, 1.516506, 1.515206, 1.514006, 1.513154, 1.512456, 
    1.511355, 1.510755, 1.510154, 1.509104, 1.509004, 1.508753, 1.508502, 
    1.508502, 1.508502, 1.508502, 1.508502, 1.508502, 1.508502, 1.508502, 
    1.508502, 1.508954, 1.509004, 1.509504, 1.510355, 1.511004, 1.511655, 
    1.512255, 1.513206, 1.513606, 1.514956, 1.516759, 1.518912, 1.522015, 
    1.525118, 1.527772, 1.530774, 1.533478, 1.53503, 1.534779, 1.532777, 
    1.528474, 1.52332, 1.518264, 1.513209, 1.508004, 1.502949, 1.499247, 
    1.496594, 1.495093, 1.494692, 1.493992, 1.493992, 1.493942, 1.493341, 
    1.492992, 1.492992, 1.492993, 1.492992, 1.492992, 1.492992, 1.493441, 
    1.493791, 1.494491, 1.495191, 1.496441, 1.497142, 1.49799, 1.499191, 
    1.500491, 1.50164, 1.50224, 1.503191, 1.50449, 1.50579, 1.50649, 1.50719, 
    1.50849, 1.509641, 1.510242, 1.499991, 1.462127, 1.407408, 1.349441, 
    1.291474, 1.228357, 1.164838, 1.106622, 1.053655, 1.02654, 1.053655, 
    1.106622, 1.164838, 1.227855, 1.290474, 1.348441, 1.406408, 1.460327, 
    1.49869, 1.50799, 1.506791, 1.505491, 1.503891, 1.501991, 1.50079, 
    1.49949, 1.498191, 1.49699, 1.49579, 1.494992, 1.494341, 1.493742, 
    1.493491, 1.493042, 1.492992, 1.493242, 1.493491, 1.493942, 1.493992, 
    1.493992, 1.494692, 1.495042, 1.495641, 1.496492, 1.497341, 1.498042, 
    1.499142, 1.499742, 1.500341, 1.500491, 1.500491, 1.500491, 1.500491, 
    1.500441, 1.499692, 1.498992, 1.498644, 1.495644, 1.46599, 1.418481, 
    1.369229, 1.292332, 1.18368, 0.8121916, 0.4703272, 0.4457034, 0.7169104, 
    0.6617054, 0.6369572, 0.6436009, 0.6671427, 0.7081827, 0.7635713, 
    0.8372576, 0.9243497, 1.01015, 1.098062, 1.191125, 1.27434, 1.3462, 
    1.40966, 1.460418, 1.492278, 1.508483, 0.9845495, 0.7561573, 0.9765316, 
    1.121566, 1.255176, 1.458614, 1.469035,
  1.503919, 1.541007, 1.611331, 1.681256, 1.743081, 1.799651, 1.858317, 
    1.917083, 1.955962, 1.953563, 1.90659, 1.849573, 1.796804, 1.744386, 
    1.68732, 1.629701, 1.576683, 1.526816, 1.491889, 1.487993, 1.487993, 
    1.487993, 1.488043, 1.488644, 1.488993, 1.488993, 1.489893, 1.490293, 
    1.491242, 1.492191, 1.493042, 1.494142, 1.494742, 1.495341, 1.495992, 
    1.496491, 1.496491, 1.496491, 1.496491, 1.496341, 1.495742, 1.495142, 
    1.494491, 1.493693, 1.492742, 1.491791, 1.490943, 1.489993, 1.489493, 
    1.488293, 1.487893, 1.486693, 1.485744, 1.484794, 1.483495, 1.482194, 
    1.481246, 1.480296, 1.479046, 1.478345, 1.477745, 1.477146, 1.476996, 
    1.476696, 1.475996, 1.475996, 1.475996, 1.475996, 1.475996, 1.476348, 
    1.476946, 1.476996, 1.489994, 1.539039, 1.648732, 1.822923, 2.040718, 
    2.304716, 2.638963, 3.022416, 3.408469, 3.748338, 4.03417, 4.275728, 
    4.485785, 3.036587, 0.2379179, 0, 0, 0, 0, 0, 0, 0, 0.2303982, 2.291983, 
    2.243738, 2.188142, 2.120245, 2.048249, 1.981002, 1.917606, 1.854061, 
    1.792714, 1.737269, 1.685673, 1.640027, 1.603623, 1.578269, 1.558516, 
    1.543813, 1.53466, 1.530009, 1.527458, 1.525107, 1.523707, 1.522507, 
    1.521307, 1.520007, 1.518707, 1.517507, 1.516307, 1.515506, 1.514707, 
    1.513756, 1.512805, 1.512007, 1.511355, 1.510754, 1.510505, 1.510054, 
    1.510004, 1.510004, 1.510004, 1.510004, 1.510004, 1.510255, 1.510505, 
    1.511004, 1.511656, 1.512256, 1.513205, 1.514057, 1.515007, 1.515507, 
    1.516707, 1.517609, 1.519611, 1.522513, 1.526466, 1.53157, 1.537227, 
    1.542031, 1.546836, 1.55189, 1.554392, 1.553289, 1.550087, 1.543431, 
    1.535074, 1.527018, 1.518611, 1.510054, 1.502348, 1.496994, 1.493394, 
    1.491544, 1.490843, 1.490494, 1.490143, 1.489943, 1.489495, 1.489244, 
    1.488993, 1.488993, 1.488993, 1.488993, 1.488993, 1.488993, 1.489293, 
    1.489993, 1.490693, 1.491541, 1.492641, 1.493493, 1.494341, 1.495491, 
    1.496641, 1.497242, 1.498191, 1.499491, 1.500791, 1.501491, 1.502191, 
    1.503491, 1.504791, 1.505491, 1.494991, 1.453239, 1.389324, 1.322458, 
    1.25524, 1.182823, 1.109606, 1.042388, 0.9807733, 0.9483685, 0.9807733, 
    1.042388, 1.109606, 1.181973, 1.254592, 1.321207, 1.388174, 1.45144, 
    1.493691, 1.502991, 1.501791, 1.500491, 1.499041, 1.497493, 1.495941, 
    1.494491, 1.493191, 1.492242, 1.491293, 1.490491, 1.489993, 1.489744, 
    1.489143, 1.488993, 1.489143, 1.489495, 1.489495, 1.489993, 1.490494, 
    1.490494, 1.490843, 1.491444, 1.491794, 1.492744, 1.493344, 1.494043, 
    1.494993, 1.495242, 1.495842, 1.495993, 1.495993, 1.495993, 1.495993, 
    1.495993, 1.495843, 1.495244, 1.494993, 1.492043, 1.460439, 1.410489, 
    1.3637, 1.289205, 1.179655, 1.057744, 0.9333864, 0.8104359, 0.7048941, 
    0.6522583, 0.6300659, 0.6322556, 0.6504942, 0.6864854, 0.7361253, 
    0.8024615, 0.8836979, 0.9671887, 1.055931, 1.152481, 1.243044, 1.319952, 
    1.387407, 1.440458, 1.474858, 1.491956, 1.496803, 1.493, 1.262495, 
    0.3711362, 0.5108727, 1.363588, 1.4384,
  1.465943, 1.498138, 1.558879, 1.618768, 1.670406, 1.715042, 1.759374, 
    1.803406, 1.83209, 1.830692, 1.79621, 1.753328, 1.713394, 1.67416, 
    1.630926, 1.587395, 1.547712, 1.512231, 1.486842, 1.484495, 1.484495, 
    1.484495, 1.484544, 1.484993, 1.484993, 1.485344, 1.485993, 1.486644, 
    1.487244, 1.487844, 1.488943, 1.489642, 1.490493, 1.490993, 1.491491, 
    1.491993, 1.491993, 1.491993, 1.491993, 1.491842, 1.491242, 1.490993, 
    1.490043, 1.489342, 1.488493, 1.487644, 1.486993, 1.486344, 1.485744, 
    1.484795, 1.483993, 1.483195, 1.482495, 1.481795, 1.480946, 1.479697, 
    1.478746, 1.478146, 1.477047, 1.476348, 1.475747, 1.475147, 1.474996, 
    1.474847, 1.474498, 1.474498, 1.474498, 1.474498, 1.474498, 1.474847, 
    1.474996, 1.475147, 1.487246, 1.532939, 1.637227, 1.805565, 2.018954, 
    2.279946, 2.61199, 2.994234, 3.383191, 3.734363, 4.035486, 4.28044, 
    4.493242, 3.027185, 0.2362124, 0, 0, 0, 0, 0, 0, 0, 0.1145438, 1.139609, 
    1.116292, 1.089138, 2.008612, 2.047699, 1.982504, 1.921508, 1.860563, 
    1.801819, 1.748772, 1.699577, 1.65573, 1.617527, 1.589772, 1.567968, 
    1.551415, 1.541364, 1.535762, 1.532259, 1.529609, 1.528209, 1.527009, 
    1.525809, 1.524509, 1.523209, 1.522009, 1.520809, 1.519559, 1.518857, 
    1.518009, 1.516809, 1.515957, 1.514707, 1.514007, 1.513656, 1.513057, 
    1.512856, 1.512505, 1.512505, 1.512555, 1.513007, 1.513256, 1.513857, 
    1.514107, 1.515307, 1.516258, 1.517209, 1.518459, 1.519158, 1.520009, 
    1.521209, 1.523111, 1.526413, 1.530767, 1.53652, 1.544576, 1.553482, 
    1.561288, 1.569094, 1.576749, 1.579749, 1.577799, 1.573045, 1.56339, 
    1.551033, 1.539025, 1.526316, 1.513057, 1.501248, 1.494496, 1.490896, 
    1.488545, 1.487495, 1.487495, 1.486795, 1.486495, 1.486344, 1.485744, 
    1.485495, 1.485444, 1.484993, 1.484993, 1.484993, 1.485444, 1.485644, 
    1.486244, 1.486843, 1.487494, 1.488293, 1.489493, 1.489993, 1.490943, 
    1.491791, 1.492742, 1.493693, 1.494541, 1.495791, 1.496742, 1.497342, 
    1.498491, 1.499641, 1.50024, 1.489991, 1.44749, 1.379641, 1.306233, 
    1.230018, 1.147901, 1.065385, 0.9909258, 0.9248745, 0.8914254, 0.9248746, 
    0.9909258, 1.065385, 1.147502, 1.229718, 1.304984, 1.37814, 1.445991, 
    1.48834, 1.497991, 1.496791, 1.495491, 1.494191, 1.492991, 1.491442, 
    1.489993, 1.488693, 1.487993, 1.487293, 1.486494, 1.485993, 1.485993, 
    1.485644, 1.485495, 1.485644, 1.486244, 1.486495, 1.486595, 1.487495, 
    1.487495, 1.487846, 1.488495, 1.489146, 1.489746, 1.490345, 1.490545, 
    1.491143, 1.491495, 1.491843, 1.491993, 1.491993, 1.491993, 1.491993, 
    1.491993, 1.491993, 1.491744, 1.491495, 1.488796, 1.455593, 1.408253, 
    1.368617, 1.237412, 0.758011, 0.80888, 0.4632075, 0.7633979, 0.7080167, 
    0.6617756, 0.6414247, 0.6412764, 0.6556739, 0.6862633, 0.7301526, 
    0.7884877, 0.8617226, 0.939712, 1.024004, 1.119349, 1.213149, 1.292951, 
    1.361901, 1.4149, 1.448698, 1.464696, 1.468094, 1.46244, 1.230959, 
    0.3565052, 0, 0.7068369, 1.411352,
  1.438962, 1.469411, 1.526809, 1.582255, 1.629451, 1.667893, 1.703932, 
    1.739371, 1.761664, 1.760864, 1.733721, 1.698832, 1.666442, 1.634401, 
    1.599062, 1.564224, 1.531983, 1.50394, 1.483095, 1.481495, 1.481495, 
    1.481495, 1.481495, 1.481495, 1.481495, 1.482195, 1.482545, 1.483144, 
    1.483744, 1.484344, 1.484994, 1.485644, 1.486493, 1.486993, 1.487494, 
    1.487993, 1.487993, 1.487993, 1.487993, 1.487844, 1.487244, 1.486993, 
    1.486043, 1.485344, 1.484744, 1.484144, 1.483495, 1.482844, 1.482495, 
    1.481795, 1.480996, 1.480345, 1.479746, 1.479146, 1.478495, 1.477697, 
    1.476748, 1.476147, 1.475498, 1.474847, 1.474498, 1.473798, 1.473498, 
    1.473498, 1.473498, 1.473498, 1.473498, 1.473498, 1.473498, 1.473498, 
    1.473498, 1.473648, 1.484495, 1.526137, 1.623174, 1.783107, 1.988942, 
    2.243779, 2.570467, 2.947655, 3.335645, 3.690035, 4.002251, 4.248652, 
    4.462904, 1.364822, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9463627, 
    1.322788, 1.984253, 1.925757, 1.867612, 1.811916, 1.76102, 1.713973, 
    1.671626, 1.632926, 1.602773, 1.57892, 1.560467, 1.549063, 1.542261, 
    1.537559, 1.534558, 1.532707, 1.531507, 1.530307, 1.529057, 1.528208, 
    1.527009, 1.525809, 1.524509, 1.523509, 1.523008, 1.521809, 1.520509, 
    1.519208, 1.518258, 1.517658, 1.517458, 1.516857, 1.516509, 1.516509, 
    1.516558, 1.517157, 1.517509, 1.517857, 1.518558, 1.519808, 1.521008, 
    1.522209, 1.523409, 1.523808, 1.525008, 1.52656, 1.529612, 1.534364, 
    1.540768, 1.549274, 1.561031, 1.573538, 1.585546, 1.597203, 1.607959, 
    1.610758, 1.608307, 1.601654, 1.589249, 1.572491, 1.555783, 1.537673, 
    1.51796, 1.500098, 1.492747, 1.488897, 1.486097, 1.484997, 1.484746, 
    1.484146, 1.483545, 1.483345, 1.482746, 1.482495, 1.482445, 1.481997, 
    1.481997, 1.481997, 1.482445, 1.482495, 1.482995, 1.483495, 1.483994, 
    1.484795, 1.485744, 1.486344, 1.486993, 1.487644, 1.488493, 1.489342, 
    1.490043, 1.491143, 1.491992, 1.492843, 1.493943, 1.494642, 1.495242, 
    1.484992, 1.442493, 1.374491, 1.298991, 1.218591, 1.131492, 1.044392, 
    0.9674914, 0.9010915, 0.8678915, 0.9010915, 0.9674914, 1.044392, 
    1.131492, 1.218442, 1.298242, 1.373143, 1.440992, 1.483343, 1.493242, 
    1.492293, 1.490993, 1.489693, 1.488493, 1.487293, 1.486445, 1.485195, 
    1.484244, 1.483644, 1.483395, 1.482495, 1.482495, 1.482495, 1.482495, 
    1.482645, 1.483246, 1.483495, 1.483996, 1.484645, 1.484997, 1.485345, 
    1.485996, 1.486645, 1.487246, 1.487495, 1.487946, 1.488146, 1.488495, 
    1.488495, 1.488495, 1.488495, 1.488495, 1.488495, 1.488495, 1.488495, 
    1.488495, 1.488495, 1.486396, 1.455958, 1.06157, 0.684359, 0.590231, 
    0.1684737, 0.2807895, 0, 0.3590219, 0.3551352, 0.5014307, 0.6564273, 
    0.6566771, 0.669775, 0.6960205, 0.7338099, 0.7848495, 0.8494346, 
    0.9207219, 1.000414, 1.092959, 1.185505, 1.264952, 1.333551, 1.385448, 
    1.418246, 1.432693, 1.435242, 1.426987, 1.411234, 0.7007167, 0.4797299, 
    0.7517314, 1.384805,
  1.417967, 1.448418, 1.503262, 1.554854, 1.597443, 1.629178, 1.656961, 
    1.685148, 1.704144, 1.703193, 1.68035, 1.652765, 1.627929, 1.602743, 
    1.575509, 1.548524, 1.522485, 1.498191, 1.480296, 1.478495, 1.478495, 
    1.478495, 1.478545, 1.478997, 1.478997, 1.479346, 1.479545, 1.480146, 
    1.480495, 1.481195, 1.481595, 1.482495, 1.482995, 1.483495, 1.483944, 
    1.484144, 1.484495, 1.484495, 1.484445, 1.483993, 1.483744, 1.483495, 
    1.482595, 1.482195, 1.481495, 1.480795, 1.480445, 1.479846, 1.479495, 
    1.479146, 1.478495, 1.477997, 1.477497, 1.476997, 1.476498, 1.475847, 
    1.475248, 1.474648, 1.474398, 1.473498, 1.473498, 1.47315, 1.473, 1.473, 
    1.473, 1.472649, 1.472499, 1.472498, 1.472749, 1.473, 1.473, 1.473, 
    1.481997, 1.518638, 1.607022, 1.756203, 1.952185, 2.197867, 2.51545, 
    2.883832, 3.264618, 3.617422, 3.93964, 4.190654, 4.405403, 2.971442, 
    0.2319602, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.603, 1.985752, 1.930007, 
    1.874611, 1.821516, 1.77302, 1.727673, 1.686625, 1.648777, 1.617276, 
    1.591372, 1.570918, 1.557264, 1.549262, 1.54336, 1.539559, 1.537208, 
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    1.360212,
  1.398971, 1.428367, 1.478709, 1.524197, 1.559435, 1.58207, 1.599905, 
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    1.319059, 1.337966,
  1.379969, 1.406565, 1.451156, 1.489595, 1.516431, 1.529968, 1.537852, 
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    1.538008, 1.536808, 1.535508, 1.534508, 1.534008, 1.533159, 1.532558, 
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    1.534407, 1.534808, 1.536008, 1.537208, 1.538408, 1.538808, 1.540508, 
    1.54431, 1.552162, 1.563767, 1.580023, 1.60013, 1.62709, 1.656101, 
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    0.7493027, 0.7754905, 0.8094245, 0.8519588, 0.9063931, 0.9755753, 
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    1.208393, 0.6218441, 0.9499135, 1.28254, 1.293311, 1.318072,
  1.361475, 1.384569, 1.422609, 1.453497, 1.471684, 1.476221, 1.473906, 
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    1.472, 1.472, 1.472, 1.472, 1.4723, 1.477499, 1.497391, 1.555926, 
    1.665955, 1.822183, 2.027411, 2.304838, 2.632713, 2.97559, 3.323018, 
    3.66787, 3.925774, 4.134067, 4.331163, 4.063378, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.699377, 1.669528, 1.642828, 1.617179, 1.594975, 1.580021, 1.568566, 
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    1.545006, 1.544056, 1.543357, 1.542506, 1.541657, 1.540507, 1.539507, 
    1.539007, 1.538156, 1.537557, 1.537207, 1.536507, 1.536507, 1.536608, 
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    1.542956, 1.543808, 1.545758, 1.55086, 1.560763, 1.575669, 1.596025, 
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    1.477499, 0.7387493, 0, 0, 0, 0.3689111, 0.7378221, 0.7378719, 0.9608235, 
    1.479997, 1.479997, 1.479548, 1.479499, 1.479499, 1.479847, 1.479997, 
    1.257494, 0.3691603, 0.5168244, 0.1474148, 0.5150796, 0, 0, 0, 0, 0, 0, 
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    0.79087, 0.8232051, 0.8670893, 0.9250733, 0.9860563, 1.039391, 1.088879, 
    1.133772, 1.167422, 1.186378, 1.197987, 1.203948, 1.210163, 1.223929, 
    1.245047, 1.268966, 1.301679,
  1.34598, 1.365225, 1.395613, 1.418552, 1.428691, 1.423777, 1.411414, 
    1.399951, 1.39214, 1.393442, 1.402204, 1.414267, 1.425929, 1.437592, 
    1.449955, 1.46232, 1.472232, 1.476893, 1.473399, 1.472499, 1.472499, 
    1.47285, 1.473, 1.473, 1.473, 1.473, 1.47305, 1.473499, 1.473499, 
    1.473499, 1.473549, 1.474148, 1.474499, 1.474499, 1.474499, 1.474499, 
    1.474499, 1.474499, 1.474499, 1.474499, 1.474499, 1.474499, 1.474448, 
    1.473848, 1.473499, 1.473499, 1.473499, 1.473349, 1.473, 1.473, 1.473, 
    1.473, 1.473, 1.472649, 1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 
    1.472499, 1.472499, 1.472499, 1.47205, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.47215, 1.475997, 1.491392, 1.54058, 1.636359, 
    1.777438, 1.966814, 2.226887, 2.537512, 2.864088, 3.202233, 3.550139, 
    3.808788, 4.012331, 4.207128, 3.949342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.9417054, 1.857962, 1.821769, 1.785574, 1.751527, 1.718679, 
    1.68978, 1.663682, 1.638432, 1.613578, 1.595273, 1.580819, 1.569665, 
    1.561661, 1.556759, 1.553957, 1.552056, 1.550706, 1.549506, 1.549006, 
    1.548106, 1.547706, 1.546756, 1.546156, 1.545056, 1.544357, 1.543506, 
    1.542657, 1.542457, 1.541856, 1.541507, 1.541507, 1.541557, 1.542156, 
    1.542507, 1.542856, 1.543956, 1.544657, 1.545506, 1.546357, 1.547056, 
    1.548306, 1.550756, 1.557058, 1.569813, 1.588869, 1.614027, 1.644785, 
    1.684744, 1.728856, 1.770813, 1.806466, 1.831271, 1.843526, 1.847332, 
    1.840986, 1.637926, 0, 0, 0, 0, 0, 0, 0, 0.7381225, 1.478, 1.477749, 
    1.47715, 1.477, 1.4767, 1.476, 1.476, 1.4759, 1.475, 1.475, 1.474649, 
    1.474449, 1.474, 1.474249, 1.474499, 1.474499, 1.474499, 1.474499, 
    1.474499, 1.474548, 1.474997, 1.475248, 1.475499, 1.475947, 1.475997, 
    1.476248, 1.476848, 1.477047, 1.477646, 1.477997, 1.469954, 1.440217, 
    1.397481, 1.353795, 1.304507, 1.251121, 1.198284, 1.152847, 1.112659, 
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    1.396981, 1.439317, 1.469305, 1.476997, 1.476297, 1.475947, 1.475499, 
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    1.473649, 1.474, 1.474349, 1.474549, 1.47515, 1.475499, 1.47585, 1.47605, 
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    1.477997, 1.477997, 1.477997, 1.477997, 1.477997, 1.034598, 0, 0, 0, 0, 
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    0.7455941, 0.7556816, 0.7693179, 0.7912025, 0.8246382, 0.8710207, 
    0.9200031, 0.9638909, 1.006032, 1.046526, 1.080026, 1.103132, 1.122395, 
    1.137109, 1.153875, 1.17894, 1.211707, 1.247322, 1.288433,
  1.334488, 1.350233, 1.372121, 1.386258, 1.388698, 1.375388, 1.353475, 
    1.333013, 1.318655, 1.320756, 1.337266, 1.358528, 1.37894, 1.399001, 
    1.420513, 1.442424, 1.460736, 1.472745, 1.472699, 1.472, 1.472, 1.472349, 
    1.472499, 1.472649, 1.473, 1.473, 1.473, 1.473, 1.473, 1.473, 1.473, 
    1.47315, 1.473499, 1.473499, 1.473499, 1.473499, 1.473499, 1.473499, 
    1.473499, 1.473499, 1.473499, 1.473499, 1.473449, 1.473, 1.473, 1.473, 
    1.473, 1.473, 1.473, 1.473, 1.47295, 1.472499, 1.472499, 1.47215, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.474499, 1.486094, 
    1.526331, 1.608613, 1.733941, 1.906168, 2.146991, 2.439014, 2.747588, 
    3.081382, 3.433737, 3.690784, 3.889076, 4.080721, 4.051579, 1.524194, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09324507, 1.207269, 1.834266, 
    1.802523, 1.771428, 1.73998, 1.712533, 1.687534, 1.662234, 1.63483, 
    1.613277, 1.595572, 1.581217, 1.570714, 1.564011, 1.559759, 1.556607, 
    1.554705, 1.553255, 1.552504, 1.551604, 1.551204, 1.550504, 1.549804, 
    1.549005, 1.548355, 1.547505, 1.547006, 1.546906, 1.546006, 1.546005, 
    1.546005, 1.546005, 1.546305, 1.547006, 1.547006, 1.547955, 1.548655, 
    1.549255, 1.550204, 1.550604, 1.551955, 1.555256, 1.563109, 1.578913, 
    1.602719, 1.633277, 1.669785, 1.716845, 1.769306, 1.816564, 1.854016, 
    1.882271, 1.898577, 1.906834, 1.904591, 1.695986, 0, 0, 0, 0, 0, 0, 0, 
    0.07369851, 0.7369851, 1.107243, 1.47715, 1.477, 1.47685, 1.476251, 
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    1.474499, 1.474499, 1.474748, 1.474997, 1.475448, 1.475648, 1.475997, 
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    0.9606354, 0.9934835, 1.02114, 1.049152, 1.074968, 1.102081, 1.138447, 
    1.182161, 1.229078, 1.277988,
  1.328496, 1.340742, 1.354481, 1.358818, 1.353458, 1.332698, 1.302488, 
    1.273728, 1.253671, 1.256371, 1.279831, 1.30949, 1.337449, 1.365058, 
    1.394969, 1.425029, 1.450988, 1.469245, 1.4721, 1.472, 1.472, 1.472, 
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    1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 
    1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 
    1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 
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    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.473749, 1.481795, 1.513585, 1.582717, 1.691696, 1.845821, 
    2.066895, 2.338367, 2.627591, 2.949015, 3.303214, 3.557961, 3.749802, 
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    1.473499, 1.473499, 1.473499, 1.473499, 1.473499, 1.473998, 1.474499, 
    1.474499, 1.474499, 1.462308, 1.43912, 1.413282, 1.381844, 1.348108, 
    1.31462, 1.286831, 1.264993, 1.250403, 1.264993, 1.286831, 1.31462, 
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    0.8151576, 0.8452516, 0.8801993, 0.9138531, 0.9479135, 0.9844247, 
    1.021037, 1.059655, 1.106467, 1.16028, 1.217391, 1.273249,
  1.329005, 1.337049, 1.342889, 1.338078, 1.324467, 1.296509, 1.259451, 
    1.223593, 1.197685, 1.201186, 1.231345, 1.268003, 1.30221, 1.336418, 
    1.373476, 1.410684, 1.442991, 1.466898, 1.472, 1.472, 1.472, 1.472, 
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    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472999, 1.478196, 1.502737, 1.558972, 1.651952, 1.787629, 1.988303, 
    2.238426, 2.507601, 2.808975, 3.152799, 3.404695, 3.588785, 3.771477, 
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    0.4590905, 1.55717, 1.814076, 1.787379, 1.762781, 1.739582, 1.715383, 
    1.684333, 1.65678, 1.632375, 1.609871, 1.592867, 1.581513, 1.57331, 
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    1.555303, 1.554953, 1.554353, 1.554002, 1.553653, 1.553504, 1.553353, 
    1.553002, 1.553003, 1.553053, 1.553504, 1.553504, 1.553853, 1.554053, 
    1.554653, 1.555003, 1.555702, 1.556103, 1.557753, 1.563254, 1.576107, 
    1.599513, 1.632619, 1.673776, 1.722283, 1.783892, 1.852202, 1.910809, 
    1.953661, 1.988217, 2.016526, 2.039588, 2.054605, 0.205761, 0, 0, 0, 0, 
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    1.474451, 1.474, 1.474, 1.474, 1.473501, 1.473, 1.473, 1.473, 1.473, 
    1.473, 1.473, 1.473, 1.47305, 1.473499, 1.473499, 1.473499, 1.468759, 
    1.45487, 1.438032, 1.415593, 1.392005, 1.367867, 1.349079, 1.33589, 
    1.3294, 1.33589, 1.349079, 1.367867, 1.392005, 1.415593, 1.437782, 
    1.454721, 1.468709, 1.473, 1.473, 1.473, 1.473, 1.473, 1.473, 1.473, 
    1.473, 1.47285, 1.472749, 1.473, 1.473, 1.473, 1.4735, 1.474, 1.4741, 
    1.475, 1.475, 1.4757, 1.476, 1.476, 0.738, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.7360431, 0.7279862, 0.7195801, 0.7080247, 0.6964171, 0.6894559, 
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    1.215253, 1.275707,
  1.333506, 1.337352, 1.335343, 1.321832, 1.299722, 1.265364, 1.222007, 
    1.1801, 1.148694, 1.152994, 1.189302, 1.232008, 1.271965, 1.311922, 
    1.355429, 1.398536, 1.436493, 1.465698, 1.471749, 1.468592, 1.465234, 
    1.461876, 1.458718, 1.458467, 1.458467, 1.458467, 1.458467, 1.459219, 
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    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.4725, 1.475798, 1.49354, 1.538528, 
    1.61646, 1.734289, 1.913863, 2.142988, 2.391362, 2.671235, 2.99456, 
    3.242805, 3.417543, 3.592982, 3.776373, 2.733337, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.763577, 1.739878, 1.709178, 1.680529, 1.653277, 1.627272, 1.606116, 
    1.592013, 1.58141, 1.573107, 1.566954, 1.563004, 1.559753, 1.558052, 
    1.557501, 1.557501, 1.557152, 1.556551, 1.556352, 1.556002, 1.556002, 
    1.556002, 1.555853, 1.555253, 1.555002, 1.555503, 1.556002, 1.556002, 
    1.556002, 1.556052, 1.556501, 1.556752, 1.557351, 1.557601, 1.559552, 
    1.566504, 1.581857, 1.609161, 1.647668, 1.693523, 1.74778, 1.815988, 
    1.891094, 1.952795, 1.9984, 2.037405, 2.072362, 2.101816, 1.367492, 
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    1.417756, 1.408317, 1.403778, 1.402581, 1.403778, 1.408317, 1.417756, 
    1.432044, 1.446333, 1.459522, 1.467461, 1.4721, 1.472499, 1.472499, 
    1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 1.472499, 1.472349, 
    1.4725, 1.473, 1.473, 1.473, 1.4735, 1.474, 1.4741, 1.475, 1.475, 
    1.475349, 1.47595, 1.254065, 0.3681075, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.649949, 0.6562919, 0.6697848, 0.688931, 0.7140298, 0.7505347, 
    0.7969417, 0.846701, 0.8996112, 0.9567245, 1.017637, 1.082248, 1.151055, 
    1.221061, 1.284013,
  1.341012, 1.341358, 1.330897, 1.308887, 1.278728, 1.238071, 1.189015, 
    1.141559, 1.106205, 1.111106, 1.15191, 1.200367, 1.245472, 1.290578, 
    1.339934, 1.388741, 1.431245, 1.464649, 1.468944, 1.458935, 1.448978, 
    1.43902, 1.429012, 1.425956, 1.425956, 1.425956, 1.426207, 1.430864, 
    1.440722, 1.450579, 1.461437, 1.470246, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.47225, 1.474248, 1.486794, 
    1.522033, 1.586218, 1.686798, 1.845475, 2.054051, 2.281377, 2.539152, 
    2.840976, 3.086224, 3.251814, 3.418454, 3.594596, 2.603505, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.662864, 1.826968, 1.805019, 
    1.783069, 1.75982, 1.729169, 1.700519, 1.672219, 1.643767, 1.620167, 
    1.603765, 1.590511, 1.579608, 1.571005, 1.565753, 1.561551, 1.55905, 
    1.558, 1.558, 1.558, 1.557551, 1.557501, 1.557501, 1.557501, 1.557501, 
    1.557501, 1.557252, 1.557002, 1.557451, 1.557501, 1.557501, 1.557501, 
    1.557501, 1.557501, 1.557751, 1.558, 1.55815, 1.560851, 1.569504, 
    1.587606, 1.618711, 1.661866, 1.712522, 1.771928, 1.846034, 1.926089, 
    1.989041, 2.037292, 2.080447, 2.120101, 1.604035, 0.3204049, 0, 0, 0, 0, 
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    1.473, 1.473, 1.473, 1.473, 1.4721, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.470254, 1.466064, 1.461075, 1.456486, 1.454042, 1.454042, 1.454042, 
    1.454042, 1.454042, 1.456486, 1.461076, 1.466064, 1.470254, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.4725, 
    1.473, 1.473, 1.473, 1.473249, 1.47385, 1.4741, 1.475, 1.475, 1.475, 
    1.4759, 1.0332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.03538189, 0.457967, 0.6942274, 
    0.6783724, 0.6598696, 0.6389154, 0.6194606, 0.6091042, 0.6093469, 
    0.6178921, 0.6344397, 0.6600921, 0.7010979, 0.753906, 0.8119664, 
    0.8735267, 0.9411884, 1.012701, 1.08601, 1.160366, 1.233468, 1.297218,
  1.351512, 1.348008, 1.3295, 1.300092, 1.262986, 1.217131, 1.163527, 
    1.111823, 1.073219, 1.07872, 1.123024, 1.175928, 1.225232, 1.274185, 
    1.327488, 1.380791, 1.427246, 1.462145, 1.460938, 1.44378, 1.427223, 
    1.410665, 1.393508, 1.38435, 1.382947, 1.382947, 1.386002, 1.397661, 
    1.414218, 1.430776, 1.448533, 1.464742, 1.470998, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.473049, 1.481995, 
    1.508987, 1.561476, 1.646159, 1.784587, 1.973265, 2.180894, 2.417572, 
    2.697999, 2.941597, 3.099088, 3.256578, 3.426321, 2.483823, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.676417, 1.842919, 1.822271, 
    1.800921, 1.77737, 1.74652, 1.71752, 1.688869, 1.659769, 1.635518, 
    1.617266, 1.600762, 1.587109, 1.576056, 1.569004, 1.563352, 1.559651, 
    1.558501, 1.558501, 1.558501, 1.558501, 1.558501, 1.558501, 1.558501, 
    1.558501, 1.558501, 1.558501, 1.558501, 1.558501, 1.558501, 1.558501, 
    1.558501, 1.558501, 1.558501, 1.558501, 1.558501, 1.558701, 1.562151, 
    1.572503, 1.593357, 1.62821, 1.675565, 1.73077, 1.794373, 1.87398, 
    1.958234, 2.022034, 2.072187, 2.11884, 2.161343, 1.091522, 0, 0, 0, 0, 0, 
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    1.478, 1.477751, 1.477501, 1.477, 1.476501, 1.476251, 1.476, 1.475501, 
    1.475, 1.474751, 1.47415, 1.474, 1.474, 1.4735, 1.473, 1.473, 1.473, 
    1.473, 1.473, 1.472501, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.4725, 1.473, 1.473, 1.473, 1.473, 1.4737, 1.47405, 
    1.474649, 1.475, 1.475, 1.401535, 0.5154514, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.07004877, 0.6958367, 0.6764822, 0.6560768, 0.6338713, 0.6095179, 
    0.5862139, 0.5709591, 0.5660046, 0.5711515, 0.5864511, 0.6150553, 
    0.6617624, 0.722372, 0.7887306, 0.8589399, 0.9367011, 1.018312, 1.098768, 
    1.177122, 1.251372, 1.314121,
  1.362512, 1.354807, 1.330953, 1.2967, 1.2565, 1.208951, 1.154553, 1.101604, 
    1.059751, 1.065851, 1.113354, 1.167103, 1.217251, 1.267049, 1.320948, 
    1.374745, 1.422243, 1.45539, 1.447934, 1.423626, 1.400469, 1.377663, 
    1.353555, 1.33815, 1.333446, 1.334698, 1.344006, 1.362813, 1.38597, 
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    1.524771, 1.505816, 1.48651, 1.474803, 1.472, 1.472, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472501, 
    1.4733, 1.474502, 1.475703, 1.477554, 1.480106, 1.482508, 1.48526, 
    1.488113, 1.491615, 1.495017, 1.500169, 1.507721, 1.518374, 1.530277, 
    1.544279, 1.562233, 1.583288, 1.605293, 1.629048, 1.657204, 1.688659, 
    1.723563, 1.769665, 1.840015, 1.939159, 2.045045, 2.161431, 2.300615, 
    2.442101, 2.553746, 2.649288, 2.76278, 2.877924, 1.467487, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9262591, 
    1.836769, 1.804368, 1.770166, 1.740513, 1.710861, 1.671356, 1.634352, 
    1.605749, 1.582048, 1.564196, 1.557798, 1.560001, 1.564654, 1.569357, 
    1.571809, 1.572761, 1.573011, 1.572861, 1.57091, 1.567508, 1.562705, 
    1.558052, 1.553799, 1.548746, 1.543692, 1.53979, 1.53964, 1.541492, 
    1.548249, 1.572665, 1.616183, 1.6698, 1.737067, 1.822836, 1.921054, 
    2.025122, 2.141791, 2.24516, 2.316906, 2.372656, 2.42561, 2.2288, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7407504, 1.482902, 
    1.486003, 1.489255, 1.492507, 1.49716, 1.501313, 1.051761, 0, 0, 0, 
    0.4564574, 1.528776, 1.549328, 1.57883, 1.607782, 1.636536, 1.667389, 
    1.690691, 1.69434, 1.687037, 1.671332, 1.643377, 1.606321, 1.571265, 
    1.535859, 1.499404, 1.477051, 1.472501, 1.472851, 1.473953, 1.474504, 
    1.474754, 1.475005, 1.475005, 1.475005, 1.475005, 1.475005, 1.475005, 
    1.475005, 1.475005, 1.475005, 1.474955, 1.474504, 1.474504, 1.474153, 
    1.473953, 1.473502, 1.473252, 1.473002, 1.472951, 1.472501, 1.47275, 
    1.473, 1.473, 1.473, 1.473, 1.473, 1.473, 1.47315, 1.47375, 1.474, 1.474, 
    1.47415, 1.474499, 0.9587185, 0.736017, 0.7322611, 0.7294065, 0.2185966, 
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    0.4443254, 0.6774865, 0.6639379, 0.6467889, 0.6259399, 0.6012409, 
    0.5740913, 0.5439427, 0.5197946, 0.5082488, 0.5117536, 0.5336102, 
    0.5741659, 0.6287727, 0.7005287, 0.7957848, 0.9039398, 1.009043, 
    1.110645, 1.210895, 1.299794, 1.370791, 1.428838, 1.474983, 1.50358,
  1.520525, 1.494623, 1.443319, 1.388315, 1.334762, 1.280159, 1.221655, 
    1.165853, 1.119751, 1.1216, 1.161699, 1.2052, 1.2465, 1.2885, 1.335451, 
    1.382301, 1.414001, 1.418751, 1.376301, 1.31535, 1.262999, 1.21695, 
    1.177954, 1.161358, 1.168512, 1.203317, 1.271272, 1.354228, 1.436285, 
    1.514141, 1.583695, 1.628647, 1.640294, 1.629889, 1.606784, 1.579579, 
    1.553774, 1.527618, 1.500061, 1.480656, 1.473001, 1.472, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.47225, 
    1.472501, 1.473451, 1.474752, 1.477503, 1.480605, 1.484607, 1.489859, 
    1.495512, 1.501865, 1.508519, 1.514871, 1.521274, 1.529426, 1.540679, 
    1.554782, 1.570535, 1.588388, 1.610791, 1.637295, 1.66555, 1.696256, 
    1.732212, 1.771168, 1.811823, 1.861927, 1.932678, 2.024773, 2.114812, 
    2.21395, 2.333085, 2.456821, 2.560264, 2.645856, 2.747946, 2.853938, 
    1.453742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.4652999, 1.577343, 1.826817, 1.789113, 1.75576, 1.723108, 
    1.677904, 1.635449, 1.603247, 1.576994, 1.558044, 1.554547, 1.5605, 
    1.569604, 1.578858, 1.585412, 1.588513, 1.590215, 1.590266, 1.586664, 
    1.580512, 1.57226, 1.563557, 1.555253, 1.546, 1.536396, 1.528543, 
    1.527942, 1.533495, 1.552007, 1.598224, 1.665893, 1.74181, 1.831028, 
    1.940846, 2.063566, 2.191635, 2.329849, 2.454263, 2.522912, 2.579913, 
    2.637968, 1.298113, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3699434, 1.263569, 1.492006, 1.497358, 1.503259, 1.511262, 1.520466, 
    1.066112, 0, 0, 0, 0.4663579, 1.562777, 1.585728, 1.617279, 1.647879, 
    1.679531, 1.713633, 1.737982, 1.73958, 1.728777, 1.707123, 1.672769, 
    1.628664, 1.58701, 1.545706, 1.504103, 1.479552, 1.475253, 1.476554, 
    1.479455, 1.481657, 1.482508, 1.483358, 1.483508, 1.483508, 1.483508, 
    1.483508, 1.483508, 1.483508, 1.483508, 1.483508, 1.482958, 1.481857, 
    1.481256, 1.480306, 1.479455, 1.478205, 1.477004, 1.476153, 1.475002, 
    1.474002, 1.473751, 1.47315, 1.473, 1.473, 1.473, 1.473, 1.473, 1.473, 
    1.47325, 1.473499, 1.473499, 1.473499, 1.472998, 1.471097, 1.466145, 
    1.456291, 1.446235, 0.9280373, 0.07075614, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.2345018, 0.3679495, 0.6697842, 0.658985, 
    0.6474868, 0.6313373, 0.6117382, 0.5882391, 0.5622905, 0.5340419, 
    0.5136458, 0.5080007, 0.5181062, 0.5480621, 0.5967689, 0.6597751, 
    0.739231, 0.8421867, 0.956341, 1.064793, 1.168344, 1.268794, 1.356193, 
    1.424041, 1.477538, 1.518934, 1.54223,
  1.557028, 1.527976, 1.471272, 1.410618, 1.352514, 1.293711, 1.230708, 
    1.171255, 1.123254, 1.123202, 1.162301, 1.206352, 1.248002, 1.290353, 
    1.337953, 1.385454, 1.417755, 1.422053, 1.379003, 1.319957, 1.270511, 
    1.229818, 1.200228, 1.191185, 1.205291, 1.247046, 1.322402, 1.413107, 
    1.500308, 1.581908, 1.652505, 1.6954, 1.702547, 1.685191, 1.654735, 
    1.61978, 1.586274, 1.552068, 1.516062, 1.488506, 1.475001, 1.472, 1.472, 
    1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.472, 1.47215, 1.47275, 
    1.473351, 1.475502, 1.478554, 1.483005, 1.488857, 1.49616, 1.505414, 
    1.515267, 1.52617, 1.537924, 1.548278, 1.55828, 1.570033, 1.585686, 
    1.60419, 1.623792, 1.645845, 1.672899, 1.705304, 1.740308, 1.778464, 
    1.823171, 1.870777, 1.919083, 1.974387, 2.047339, 2.13018, 2.206071, 
    2.28966, 2.389597, 2.494583, 2.584521, 2.658012, 2.60435, 1.420933, 
    0.7232232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1.314611, 1.846763, 1.804209, 1.767006, 1.731204, 1.681802, 
    1.633898, 1.597996, 1.569094, 1.549844, 1.550097, 1.5605, 1.574754, 
    1.589408, 1.601311, 1.607764, 1.611766, 1.613118, 1.608718, 1.600517, 
    1.589515, 1.577513, 1.565512, 1.55276, 1.539308, 1.528206, 1.527206, 
    1.538261, 1.571721, 1.640888, 1.733455, 1.83157, 1.942986, 2.076501, 
    2.224269, 2.374633, 2.530944, 2.673106, 2.751021, 2.811424, 2.876029, 
    0.2892681, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5211102, 1.426401, 1.50946, 1.518012, 1.529364, 1.543367, 1.084315, 0, 
    0, 0, 0.4777587, 1.600528, 1.623577, 1.655226, 1.685375, 1.717274, 
    1.751623, 1.774421, 1.773319, 1.759267, 1.732965, 1.693712, 1.64461, 
    1.598757, 1.553956, 1.510206, 1.485356, 1.482257, 1.485108, 1.489509, 
    1.49361, 1.495762, 1.497212, 1.497512, 1.497512, 1.497512, 1.497512, 
    1.497512, 1.497512, 1.497512, 1.497162, 1.496011, 1.494561, 1.493011, 
    1.49146, 1.489459, 1.486908, 1.484757, 1.482606, 1.480106, 1.478705, 
    1.477254, 1.475804, 1.475003, 1.474352, 1.474001, 1.474001, 1.473501, 
    1.473, 1.47275, 1.472149, 1.471498, 1.470697, 1.468745, 1.464344, 
    1.456041, 1.441137, 1.422982, 1.399924, 0.1393472, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4581356, 0.6535314, 0.6467322, 
    0.6377341, 0.6280349, 0.6128859, 0.5945367, 0.5722376, 0.5481889, 
    0.5236428, 0.5089473, 0.5105028, 0.5285089, 0.566715, 0.624872, 0.696278, 
    0.7834334, 0.8935882, 1.013092, 1.124294, 1.229194, 1.329244, 1.415093, 
    1.47979, 1.529088, 1.565834, 1.583681,
  1.598529, 1.566327, 1.503773, 1.437269, 1.374015, 1.310412, 1.242709, 
    1.178855, 1.129254, 1.126903, 1.165253, 1.209503, 1.252003, 1.295554, 
    1.344005, 1.392606, 1.425506, 1.427955, 1.385857, 1.332811, 1.290266, 
    1.263127, 1.253445, 1.26071, 1.285569, 1.336326, 1.420182, 1.515583, 
    1.604585, 1.685884, 1.748176, 1.777863, 1.774302, 1.746593, 1.706736, 
    1.662679, 1.620774, 1.578168, 1.533512, 1.497206, 1.477502, 1.472501, 
    1.472951, 1.473151, 1.473752, 1.474353, 1.475004, 1.475655, 1.476506, 
    1.477357, 1.477557, 1.478308, 1.479258, 1.480559, 1.48411, 1.489511, 
    1.496013, 1.504614, 1.516167, 1.53012, 1.544774, 1.560827, 1.577931, 
    1.593334, 1.607037, 1.622839, 1.642692, 1.665244, 1.688797, 1.714799, 
    1.747003, 1.786107, 1.828813, 1.87572, 1.931077, 1.988985, 2.047093, 
    2.109749, 2.182046, 2.253189, 2.317081, 2.386572, 2.46801, 2.552196, 
    2.623532, 2.68122, 1.365788, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.329309, 1.862309, 1.813504, 1.772001, 
    1.733299, 1.681298, 1.630197, 1.590494, 1.559893, 1.541144, 1.545797, 
    1.561251, 1.580905, 1.601809, 1.619163, 1.630266, 1.637169, 1.64052, 
    1.636721, 1.628271, 1.616321, 1.603021, 1.589721, 1.575521, 1.560271, 
    1.548321, 1.548923, 1.566527, 1.613886, 1.70495, 1.820865, 1.940079, 
    2.071191, 2.226004, 2.394916, 2.562626, 2.733485, 2.891845, 2.989257, 
    3.053409, 3.124213, 0.3142664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.6775948, 0.9886469, 1.536764, 1.551466, 1.569619, 
    1.106365, 0, 0, 0, 0.2416272, 1.226475, 1.660824, 1.689771, 1.717619, 
    1.746766, 1.778714, 1.798412, 1.79421, 1.777258, 1.748407, 1.706756, 
    1.655656, 1.608256, 1.562606, 1.519257, 1.495658, 1.494009, 1.49866, 
    1.505012, 1.511064, 1.514764, 1.517065, 1.517515, 1.517515, 1.517515, 
    1.517515, 1.517515, 1.517365, 1.517015, 1.516315, 1.514564, 1.512914, 
    1.510764, 1.508263, 1.504962, 1.501112, 1.49776, 1.49441, 1.490609, 
    1.487907, 1.485257, 1.482606, 1.480505, 1.478554, 1.477003, 1.475801, 
    1.47405, 1.4727, 1.471248, 1.469097, 1.466495, 1.463594, 1.459242, 
    1.45209, 1.439987, 1.420134, 1.39498, 1.362825, 0.6536878, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.02087781, 0.2101299, 0.2172895, 0.06638844, 0, 0, 0, 
    0.4388879, 0.6282839, 0.6223342, 0.6154853, 0.6072365, 0.5933873, 
    0.5763382, 0.5554893, 0.5339414, 0.5151954, 0.5079013, 0.5175067, 
    0.5439121, 0.5917192, 0.6596256, 0.7395313, 0.8341361, 0.95054, 1.074843, 
    1.188294, 1.293694, 1.392693, 1.476191, 1.537289, 1.582987, 1.614883, 
    1.628281,
  1.643029, 1.608027, 1.539323, 1.466769, 1.397765, 1.328762, 1.255708, 
    1.186805, 1.135253, 1.130602, 1.168702, 1.213803, 1.257754, 1.302755, 
    1.352506, 1.402256, 1.435507, 1.437608, 1.399861, 1.352515, 1.319522, 
    1.316291, 1.340617, 1.376539, 1.418101, 1.48101, 1.573315, 1.671867, 
    1.76362, 1.841365, 1.882497, 1.885977, 1.862061, 1.8189, 1.766341, 
    1.711283, 1.660027, 1.608421, 1.554065, 1.508909, 1.482504, 1.474302, 
    1.475001, 1.476453, 1.478504, 1.480905, 1.483557, 1.486609, 1.489511, 
    1.492412, 1.494114, 1.496916, 1.500769, 1.505322, 1.511726, 1.520929, 
    1.530782, 1.542384, 1.558136, 1.576189, 1.59479, 1.614442, 1.634943, 
    1.653443, 1.669544, 1.688095, 1.710746, 1.736648, 1.7638, 1.793752, 
    1.831156, 1.877561, 1.928566, 1.985873, 2.053731, 2.12534, 2.194347, 
    2.267205, 2.335953, 2.397948, 2.451842, 2.508885, 2.572775, 2.634861, 
    2.000942, 1.346363, 0.1352805, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.342608, 1.873956, 1.817351, 
    1.770998, 1.729897, 1.675896, 1.623295, 1.580493, 1.548542, 1.532294, 
    1.542448, 1.564503, 1.590408, 1.618763, 1.643018, 1.659271, 1.670624, 
    1.676576, 1.675028, 1.667529, 1.65618, 1.64313, 1.631182, 1.618784, 
    1.604636, 1.594038, 1.598791, 1.623045, 1.682652, 1.794365, 1.931027, 
    2.068086, 2.214945, 2.385952, 2.57036, 2.750617, 2.932623, 3.105432, 
    3.219541, 3.285641, 3.360844, 0.3380645, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2308608, 1.168527, 1.578369, 1.59987, 
    1.377625, 0.8252813, 0.8318895, 0.08335416, 0, 0.842261, 1.69467, 
    1.718816, 1.741962, 1.765758, 1.794106, 1.809953, 1.802451, 1.783, 
    1.75375, 1.712802, 1.662954, 1.617006, 1.573158, 1.531759, 1.51011, 
    1.510512, 1.517213, 1.525965, 1.534016, 1.539017, 1.542267, 1.543018, 
    1.543018, 1.543018, 1.543018, 1.543018, 1.542718, 1.542017, 1.540967, 
    1.539017, 1.536767, 1.533766, 1.530416, 1.526015, 1.521164, 1.516013, 
    1.511562, 1.506111, 1.50146, 1.497258, 1.492707, 1.488506, 1.484604, 
    1.481003, 1.477051, 1.473049, 1.469597, 1.465995, 1.461694, 1.456442, 
    1.45049, 1.443488, 1.433687, 1.417934, 1.393582, 1.363479, 1.324626, 
    1.20865, 0.417722, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2066561, 0.4191994, 
    0.4329988, 0.1321494, 0, 0, 0.1429286, 0.5071467, 0.6041849, 0.598485, 
    0.5927353, 0.5859361, 0.5733869, 0.5577878, 0.5397403, 0.5223936, 
    0.5107988, 0.5125046, 0.5310107, 0.5663167, 0.6246232, 0.7023795, 
    0.7907848, 0.8924891, 1.014392, 1.141793, 1.256544, 1.361493, 1.459042, 
    1.53944, 1.597288, 1.639386, 1.666934, 1.676231,
  1.690529, 1.652377, 1.577323, 1.498269, 1.423266, 1.348612, 1.269709, 
    1.195105, 1.141003, 1.134152, 1.172252, 1.219254, 1.264754, 1.311305, 
    1.362957, 1.413908, 1.449009, 1.453662, 1.420814, 1.378867, 1.361779, 
    1.394403, 1.461779, 1.534802, 1.600118, 1.676976, 1.77668, 1.879783, 
    1.974885, 2.040926, 2.050406, 2.019635, 1.968817, 1.905054, 1.836494, 
    1.768586, 1.706779, 1.644973, 1.579667, 1.52481, 1.490505, 1.477552, 
    1.478603, 1.482404, 1.486506, 1.491658, 1.49806, 1.505013, 1.511015, 
    1.516667, 1.52212, 1.529123, 1.537776, 1.547128, 1.558681, 1.572483, 
    1.586285, 1.601137, 1.620589, 1.641941, 1.662792, 1.684343, 1.707345, 
    1.727246, 1.744797, 1.764798, 1.7898, 1.818751, 1.848803, 1.882705, 
    1.925308, 1.979012, 2.038817, 2.107724, 2.190284, 2.277143, 2.358851, 
    2.438453, 2.50385, 2.559147, 2.605343, 2.651888, 2.699829, 2.317373, 
    0.6772073, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.34925, 1.873694, 1.807688, 1.756235, 1.713184, 
    1.657933, 1.604633, 1.560733, 1.528734, 1.518439, 1.537846, 1.569503, 
    1.60501, 1.642366, 1.675822, 1.698777, 1.71578, 1.726083, 1.727985, 
    1.722036, 1.711887, 1.700789, 1.693043, 1.686297, 1.677452, 1.670704, 
    1.680807, 1.711311, 1.780666, 1.908873, 2.062482, 2.212088, 2.369041, 
    2.549495, 2.743599, 2.932603, 3.122657, 3.306913, 3.42636, 3.491609, 
    3.567007, 1.864069, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.3950376, 1.368938, 1.635523, 1.656874, 1.669024, 1.682224, 
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    1.810548, 1.799695, 1.778995, 1.751647, 1.713849, 1.668002, 1.626506, 
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    1.659286, 1.697434, 1.720932, 1.726329,
  1.739026, 1.697374, 1.616321, 1.531418, 1.450765, 1.370813, 1.28621, 
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  1.785523, 1.741422, 1.65577, 1.565868, 1.480516, 1.395513, 1.306211, 
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    1.822273,
  1.828019, 1.782168, 1.693216, 1.599465, 1.510513, 1.421912, 1.328761, 
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    1.864468,
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    1.895667, 1.905716, 1.902315,
  1.915022, 1.869872, 1.779172, 1.682823, 1.593773, 1.505775, 1.415478, 
    1.334033, 1.283037, 1.270187, 1.308387, 1.368387, 1.429788, 1.49749, 
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    0.04960331, 0.3538004, 0.5635192, 0.5945235, 0.3222507, 0.2962219, 
    0.3312733, 0.584916, 0.6903523, 0.7076599, 0.7308171, 0.7630743, 
    0.8210317, 0.8912865, 0.9635889, 1.041838, 1.141535, 1.25068, 1.356324, 
    1.462667, 1.572358, 1.66095, 1.732792, 1.796237, 1.854483, 1.90188, 
    1.932278, 1.949376, 1.954823, 1.948372,
  1.976023, 1.931573, 1.841974, 1.750176, 1.66678, 1.586534, 1.507688, 
    1.441244, 1.405051, 1.397905, 1.437406, 1.498557, 1.560306, 1.628005, 
    1.708003, 1.788051, 1.855799, 1.900097, 1.924649, 1.950601, 2.018802, 
    2.166801, 2.3628, 2.536098, 2.660795, 2.757493, 2.84694, 2.931237, 
    2.995034, 2.996182, 2.90138, 2.76733, 2.644032, 2.532634, 2.449888, 
    2.393543, 2.353797, 2.320353, 2.269659, 2.195612, 2.121062, 2.06961, 
    2.033107, 1.988702, 1.947798, 1.909344, 1.874942, 1.867141, 1.882541, 
    1.907393, 1.932995, 1.958496, 1.983547, 2.007548, 2.033247, 2.055795, 
    2.077794, 2.102593, 2.133841, 2.169891, 2.206041, 2.246391, 2.295194, 
    2.339849, 2.375052, 2.405003, 2.435953, 2.472353, 2.511303, 2.556903, 
    2.616503, 2.693599, 2.790296, 2.911845, 3.069846, 3.229898, 3.338298, 
    3.4299, 3.511204, 3.585358, 3.64631, 1.100418, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.2207973, 1.071241, 1.37849, 1.318237, 1.249582, 1.211731, 1.238985, 
    1.321741, 1.444351, 1.580013, 1.733526, 1.901188, 2.0626, 2.20081, 
    2.317669, 2.389925, 2.432877, 2.455575, 2.463572, 2.466217, 2.479463, 
    2.501811, 2.51891, 2.530809, 2.553958, 2.597807, 2.677704, 2.800347, 
    2.929289, 3.031031, 3.112121, 3.197207, 3.298343, 3.401229, 3.507967, 
    3.621657, 3.676203, 3.686947, 3.715542, 3.403295, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.867809, 1.885409, 1.900509, 1.919462, 1.943514, 1.958765, 1.955266, 
    1.935318, 1.905869, 1.867769, 1.831517, 1.801215, 1.769963, 1.739212, 
    1.718762, 1.711262, 1.718862, 1.735112, 1.756015, 1.775517, 1.79052, 
    1.804171, 1.817021, 1.830921, 1.84722, 1.85977, 1.86727, 1.871269, 
    1.872019, 1.872019, 1.872019, 1.872019, 1.872019, 1.871719, 1.870019, 
    1.866919, 1.861469, 1.854569, 1.846269, 1.836919, 1.823819, 1.807018, 
    1.788768, 1.768067, 1.741266, 1.710665, 1.680013, 1.63886, 1.587705, 
    1.531599, 1.475993, 1.422138, 1.370535, 1.326035, 1.283734, 1.243183, 
    1.206131, 1.005462, 0.8697834, 1.12533, 1.095081, 1.050179, 1.004978, 
    0.9552286, 0.8953297, 0.7087669, 0.5681254, 0.7160353, 0.6532376, 
    0.5952914, 0.5504955, 0.5105977, 0.4745486, 0.4461994, 0.4235004, 
    0.4134004, 0.4124001, 0.4198517, 0.3256759, 0.06640407, 0.05690207, 
    0.5804215, 0.6250252, 0.4146547, 0.07055494, 0.3943223, 0.5979133, 
    0.8060486, 0.837855, 0.8746115, 0.9173186, 0.9684252, 1.044631, 1.127235, 
    1.204837, 1.280336, 1.369781, 1.464126, 1.553069, 1.640262, 1.725904, 
    1.790995, 1.844039, 1.892533, 1.94103, 1.981027, 2.006526, 2.019425, 
    2.021225, 2.010624,
  2.049025, 2.007026, 1.922929, 1.842033, 1.770537, 1.703242, 1.639797, 
    1.591203, 1.574308, 1.578762, 1.620762, 1.680211, 1.736559, 1.798856, 
    1.872454, 1.945101, 2.004548, 2.040895, 2.065443, 2.096194, 2.166044, 
    2.312543, 2.503042, 2.667338, 2.783535, 2.873133, 2.95393, 3.028977, 
    3.084775, 3.080374, 2.981923, 2.847023, 2.729024, 2.626077, 2.554531, 
    2.511184, 2.485039, 2.466243, 2.429846, 2.364849, 2.291299, 2.235948, 
    2.190046, 2.134493, 2.083791, 2.03869, 2.00104, 1.99244, 2.011042, 
    2.042594, 2.073496, 2.103398, 2.131799, 2.15775, 2.181149, 2.199098, 
    2.216546, 2.237495, 2.263993, 2.297242, 2.332791, 2.374292, 2.434145, 
    2.4917, 2.536303, 2.570054, 2.600003, 2.635053, 2.672302, 2.715501, 
    2.771198, 2.835443, 2.920039, 3.034035, 3.192235, 3.356735, 3.466286, 
    3.563237, 3.655441, 3.743246, 2.832448, 0.5630545, 0, 0, 0, 0, 0, 0, 0, 
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    1.300295, 1.454555, 1.626017, 1.816028, 2.02094, 2.2161, 2.383559, 
    2.526167, 2.613371, 2.663523, 2.67807, 2.672665, 2.66041, 2.661856, 
    2.677304, 2.690302, 2.700702, 2.721701, 2.760299, 2.828295, 2.930288, 
    3.036231, 3.114274, 3.167115, 3.214854, 3.272841, 3.335979, 3.412071, 
    3.500113, 3.54361, 3.539206, 3.551951, 3.244952, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5602525, 1.870758, 1.879258, 
    1.892307, 1.909557, 1.927008, 1.951459, 1.980461, 1.999812, 2.000764, 
    1.986666, 1.963568, 1.928221, 1.891271, 1.85607, 1.820069, 1.786268, 
    1.764518, 1.756767, 1.763817, 1.779716, 1.803266, 1.827516, 1.847768, 
    1.863318, 1.876268, 1.888867, 1.903667, 1.914766, 1.921766, 1.924916, 
    1.925516, 1.925516, 1.925516, 1.925516, 1.925516, 1.925216, 1.923516, 
    1.920416, 1.914516, 1.907716, 1.899766, 1.890066, 1.876366, 1.859366, 
    1.840265, 1.817665, 1.788665, 1.754914, 1.720763, 1.672261, 1.608759, 
    1.534452, 1.461997, 1.393743, 0.742628, 0.6515502, 0.6301134, 0.6086765, 
    0.5887387, 0.5651526, 0.814408, 1.070884, 1.039282, 0.9891307, 0.9407299, 
    0.8909296, 0.8335301, 0.7754815, 0.7224835, 0.6698347, 0.6144371, 
    0.5666901, 0.5327431, 0.5015965, 0.4709491, 0.446901, 0.4307542, 
    0.428609, 0.4133505, 0.2110205, 0.109183, 0, 0.02993163, 0.3056125, 
    0.3305472, 0.1022373, 0.4354692, 0.85329, 0.9060441, 0.956349, 1.006355, 
    1.062361, 1.125567, 1.195072, 1.288778, 1.383231, 1.463331, 1.532929, 
    1.609075, 1.685969, 1.755312, 1.820455, 1.880447, 1.920589, 1.953783, 
    1.987329, 2.026176, 2.059824, 2.081523, 2.092722, 2.094123, 2.082473,
  2.130022, 2.092223, 2.019126, 1.952631, 1.895534, 1.843338, 1.797293, 
    1.766848, 1.767553, 1.785406, 1.830258, 1.883756, 1.932304, 1.986802, 
    2.051449, 2.114846, 2.164794, 2.191642, 2.209139, 2.240989, 2.311039, 
    2.453887, 2.635835, 2.788481, 2.893278, 2.972175, 3.042421, 3.107518, 
    3.156016, 3.146765, 3.046064, 2.911915, 2.799767, 2.70687, 2.648023, 
    2.617977, 2.60478, 2.597883, 2.572036, 2.513387, 2.442788, 2.385488, 
    2.332987, 2.270135, 2.214784, 2.168185, 2.131235, 2.126437, 2.151789, 
    2.191141, 2.229543, 2.266595, 2.299047, 2.325547, 2.346546, 2.360695, 
    2.374044, 2.390543, 2.411041, 2.438539, 2.471288, 2.515239, 2.585592, 
    2.654894, 2.709297, 2.748298, 2.777798, 2.809147, 2.842546, 2.880144, 
    2.92424, 2.971035, 3.04003, 3.140876, 3.292774, 3.458074, 3.568524, 
    3.671275, 3.775478, 3.277761, 0.9659822, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6990016, 1.34865, 1.256844, 1.165791, 1.12049, 1.168293, 1.290649, 
    1.478859, 1.687518, 1.914028, 2.155888, 2.386097, 2.581805, 2.748111, 
    2.849215, 2.900113, 2.902059, 2.880204, 2.85065, 2.837995, 2.843292, 
    2.85034, 2.85824, 2.877139, 2.909287, 2.963483, 3.044628, 3.127622, 
    3.184267, 3.212561, 3.228303, 3.247495, 3.278488, 3.329081, 3.393525, 
    3.419468, 3.401214, 3.39696, 1.748691, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.568052, 1.896257, 1.903906, 1.915806, 
    1.932356, 1.952257, 1.980558, 2.014459, 2.039311, 2.046763, 2.040215, 
    2.025117, 1.99817, 1.964771, 1.927521, 1.88907, 1.85282, 1.829019, 
    1.818868, 1.823267, 1.835966, 1.856515, 1.881264, 1.903615, 1.919164, 
    1.931264, 1.942664, 1.955263, 1.964813, 1.970512, 1.973062, 1.973512, 
    1.973512, 1.973512, 1.973512, 1.973512, 1.973212, 1.971512, 1.968412, 
    1.962962, 1.956212, 1.948262, 1.938212, 1.924812, 1.907712, 1.887762, 
    1.864312, 1.834111, 1.798311, 1.76151, 1.704057, 1.624701, 1.527894, 
    1.436989, 0.8981904, 0.06816346, 0.1764945, 0.2941575, 0, 0, 0.315595, 
    1.041984, 1.016235, 0.9821849, 0.9278841, 0.8772336, 0.8269336, 
    0.7713341, 0.7192861, 0.6724877, 0.6249893, 0.5770412, 0.5385936, 
    0.5157469, 0.4971007, 0.4790052, 0.3946712, 0.3447003, 0.4820708, 
    0.4595243, 0, 0, 0, 0, 0, 0, 0, 0.4487157, 0.9927898, 1.058543, 1.124647, 
    1.192852, 1.267807, 1.350562, 1.437517, 1.547921, 1.652823, 1.732323, 
    1.79257, 1.852315, 1.908859, 1.956804, 1.998097, 2.03149, 2.045883, 
    2.058277, 2.077323, 2.106921, 2.13542, 2.154269, 2.164719, 2.167619, 
    2.15807,
  2.210018, 2.177469, 2.116772, 2.065226, 2.023029, 1.986433, 1.957837, 
    1.946141, 1.964295, 1.996098, 2.044599, 2.091448, 2.132046, 2.177894, 
    2.233391, 2.286939, 2.326787, 2.344935, 2.355183, 2.386433, 2.456283, 
    2.591931, 2.758276, 2.893421, 2.982517, 3.046413, 3.10296, 3.156257, 
    3.196004, 3.181153, 3.082804, 2.956007, 2.854011, 2.774064, 2.729918, 
    2.713771, 2.712523, 2.715476, 2.697827, 2.644578, 2.578029, 2.52023, 
    2.462878, 2.394377, 2.337027, 2.290877, 2.256928, 2.258079, 2.290281, 
    2.336482, 2.382984, 2.427885, 2.466287, 2.494188, 2.514388, 2.525937, 
    2.536036, 2.548236, 2.562534, 2.583533, 2.612032, 2.657682, 2.735633, 
    2.814285, 2.877787, 2.922389, 2.952489, 2.980088, 3.009037, 3.038335, 
    3.066831, 3.092876, 3.143522, 3.227417, 3.367714, 3.528462, 3.637762, 
    3.743912, 3.856813, 2.759409, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7117545, 1.360856, 1.246801, 1.140396, 1.088494, 1.140193, 1.281096, 
    1.502053, 1.745761, 2.006968, 2.284677, 2.547483, 2.769039, 2.956644, 
    3.073998, 3.123598, 3.111295, 3.071341, 3.023237, 2.994033, 2.98703, 
    2.987379, 2.992178, 3.007427, 3.033776, 3.076573, 3.138569, 3.200815, 
    3.238261, 3.246656, 3.238502, 3.230346, 3.236741, 3.262736, 3.30313, 
    3.304975, 3.273222, 3.251618, 0.3248467, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5751015, 1.919505, 1.926555, 1.937755, 
    1.953805, 1.976505, 2.008306, 2.046557, 2.077458, 2.09251, 2.094962, 
    2.090115, 2.073418, 2.04677, 2.011021, 1.972021, 1.934371, 1.90802, 
    1.893919, 1.892767, 1.899616, 1.914514, 1.935012, 1.956512, 1.970861, 
    1.981511, 1.99111, 2.00176, 2.00936, 2.013509, 2.015209, 2.015509, 
    2.015509, 2.015509, 2.015509, 2.015509, 2.015209, 2.013509, 2.010409, 
    2.005859, 1.999059, 1.990759, 1.980709, 1.967259, 1.949709, 1.929509, 
    1.905459, 1.874609, 1.838009, 1.796507, 1.722453, 1.619447, 1.286744, 
    0.7079252, 0.6418044, 0.5952228, 0.7421784, 0.8348631, 0.521389, 
    0.4961274, 0.6308988, 0.9757334, 0.9490323, 0.9137315, 0.7401776, 
    0.6111421, 0.7608337, 0.7095854, 0.6652372, 0.6267396, 0.5878921, 
    0.5496449, 0.5227482, 0.5130014, 0.5088549, 0.5076587, 0.4425466, 
    0.4118233, 0.5675715, 0.2835986, 0, 0, 0, 0, 0, 0, 0.3960316, 0.6379443, 
    1.149688, 1.22729, 1.309444, 1.395298, 1.487952, 1.589056, 1.69226, 
    1.817513, 1.930314, 2.006313, 2.05431, 2.094605, 2.1283, 2.153294, 
    2.169888, 2.175982, 2.163826, 2.156022, 2.161169, 2.182617, 2.206816, 
    2.223766, 2.234416, 2.239616, 2.232817,
  2.285514, 2.258915, 2.209967, 2.17282, 2.145772, 2.124676, 2.113879, 
    2.121433, 2.157286, 2.203639, 2.25509, 2.295488, 2.327787, 2.364635, 
    2.410783, 2.453881, 2.483279, 2.493078, 2.497276, 2.529827, 2.598777, 
    2.718472, 2.856866, 2.96516, 3.034005, 3.079752, 3.119648, 3.159245, 
    3.187743, 3.168993, 3.083547, 2.975702, 2.890255, 2.826859, 2.799712, 
    2.797765, 2.807517, 2.819369, 2.80887, 2.762271, 2.700272, 2.643873, 
    2.581922, 2.508471, 2.448771, 2.403071, 2.372021, 2.377772, 2.415022, 
    2.466973, 2.520525, 2.573326, 2.618277, 2.649228, 2.668828, 2.678327, 
    2.685776, 2.693576, 2.701524, 2.715873, 2.739272, 2.785072, 2.869773, 
    2.958176, 3.031028, 3.081829, 3.113629, 3.138179, 3.163028, 3.183676, 
    3.194923, 3.198118, 3.227514, 3.29051, 3.414056, 3.564754, 3.669753, 
    3.774052, 3.888802, 2.783201, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8747838, 
    0.8651301, 1.136408, 1.387405, 1.251251, 1.125347, 1.063496, 1.112595, 
    1.263096, 1.50795, 1.781004, 2.07331, 2.383265, 2.67332, 2.916524, 
    3.122277, 3.25623, 3.310281, 3.28803, 3.232177, 3.165774, 3.11957, 
    3.100518, 3.094417, 3.096117, 3.108016, 3.130265, 3.163714, 3.208561, 
    3.252608, 3.274005, 3.267052, 3.2415, 3.214597, 3.199743, 3.201689, 
    3.216383, 3.193829, 3.148226, 3.108222, 0.3099971, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2890896, 1.453318, 1.947204, 
    1.957854, 1.974754, 2.000504, 2.036055, 2.077306, 2.114257, 2.137759, 
    2.151111, 2.159064, 2.154466, 2.137268, 2.105369, 2.066969, 2.028919, 
    1.999518, 1.979567, 1.970265, 1.968513, 1.975262, 1.98796, 2.005959, 
    2.017909, 2.026758, 2.034208, 2.042707, 2.048057, 2.051007, 2.051857, 
    2.052006, 2.052006, 2.052006, 2.052006, 2.052006, 2.051707, 2.050006, 
    2.046906, 2.042756, 2.035556, 2.027256, 2.017206, 2.003256, 1.985206, 
    1.964756, 1.940456, 1.910056, 1.871405, 1.817252, 1.721798, 0.8900744, 
    0.5279484, 0, 0.8375378, 1.142982, 1.083682, 1.036233, 1.002785, 
    0.9543857, 0.9193363, 0.9024858, 0.8733858, 0.836636, 0.5571904, 
    0.3597438, 0.6946383, 0.4012945, 0.6144913, 0.5864933, 0.5595457, 
    0.5342483, 0.521551, 0.5255036, 0.5364565, 0.5523098, 0.5795135, 
    0.4452018, 0.3070327, 0.03128805, 0, 0, 0, 0, 0, 0.309368, 1.02774, 
    1.244378, 1.314431, 1.407035, 1.504538, 1.607141, 1.715644, 1.833296, 
    1.955151, 2.095454, 2.213204, 2.283053, 2.3158, 2.333945, 2.34264, 
    2.342785, 2.334181, 2.312525, 2.27377, 2.246267, 2.238714, 2.253313, 
    2.274212, 2.289762, 2.301112, 2.308613, 2.304413,
  2.35651, 2.334461, 2.295612, 2.271114, 2.257516, 2.250918, 2.25702, 
    2.283873, 2.337776, 2.397978, 2.451278, 2.486028, 2.510526, 2.539576, 
    2.576724, 2.609823, 2.628521, 2.63007, 2.630369, 2.66667, 2.730519, 
    2.823764, 2.926509, 3.001704, 3.046249, 3.072246, 3.093443, 3.117791, 
    3.133489, 3.11804, 3.055244, 2.973598, 2.909002, 2.865405, 2.857008, 
    2.87011, 2.890512, 2.911263, 2.908414, 2.869416, 2.813017, 2.758717, 
    2.692916, 2.614416, 2.551515, 2.505065, 2.474615, 2.482365, 2.523015, 
    2.579766, 2.639767, 2.702218, 2.75652, 2.794372, 2.815723, 2.824523, 
    2.830023, 2.833072, 2.833521, 2.839469, 2.855018, 2.897167, 2.985467, 
    3.082217, 3.164519, 3.22232, 3.25732, 3.28057, 3.30177, 3.313519, 
    3.306566, 3.285912, 3.291508, 3.330004, 3.431451, 3.566548, 3.660495, 
    3.756193, 3.865342, 2.764293, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7894909, 
    1.900246, 1.769762, 1.58501, 1.426858, 1.270205, 1.124302, 1.048499, 
    1.093448, 1.246598, 1.501999, 1.7935, 2.108453, 2.442956, 2.753658, 
    3.013011, 3.232112, 3.379014, 3.441415, 3.417265, 3.352515, 3.271713, 
    3.210561, 3.180259, 3.166758, 3.165208, 3.175708, 3.196008, 3.222957, 
    3.255356, 3.284604, 3.295253, 3.278952, 3.2424, 3.202199, 3.169746, 
    3.149193, 3.13874, 3.097138, 3.039486, 1.961973, 0.1511539, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9810013, 1.966203, 
    1.977053, 1.996353, 2.025004, 2.063804, 2.108355, 2.150505, 2.184007, 
    2.209459, 2.231561, 2.240813, 2.233765, 2.206066, 2.168866, 2.130616, 
    2.098016, 2.070314, 2.051162, 2.038311, 2.034509, 2.037707, 2.050556, 
    2.059806, 2.066256, 2.071655, 2.077705, 2.080605, 2.082504, 2.083004, 
    2.083004, 2.083004, 2.083004, 2.083004, 2.083004, 2.082704, 2.081254, 
    2.078404, 2.073754, 2.066054, 2.057254, 2.046354, 2.031754, 2.013354, 
    1.993254, 1.969654, 1.940504, 1.897904, 1.824, 1.12517, 0.08417431, 0, 0, 
    0.7682386, 1.040783, 0.9809831, 0.9392342, 0.9184863, 0.5019234, 
    0.4416152, 0.432618, 0.682353, 0.7625887, 0.5078427, 0.3294957, 
    0.4265276, 0.09058944, 0.5740446, 0.5572464, 0.3555912, 0.5045923, 
    0.5336529, 0.4062107, 0.4898806, 0.5757994, 0.3073562, 0.1594513, 0, 0, 
    0, 0, 0, 0, 0.200011, 0.9833613, 1.327319, 1.388921, 1.475974, 1.583526, 
    1.694578, 1.81213, 1.941684, 2.081538, 2.224192, 2.377443, 2.497993, 
    2.559042, 2.573539, 2.566885, 2.549181, 2.523777, 2.489623, 2.440219, 
    2.376215, 2.329262, 2.309961, 2.31941, 2.337909, 2.353009, 2.364959, 
    2.37456, 2.37236,
  2.422507, 2.404308, 2.373708, 2.359159, 2.356261, 2.361412, 2.382213, 
    2.427165, 2.497517, 2.568218, 2.621668, 2.652318, 2.671267, 2.694066, 
    2.723716, 2.748415, 2.756763, 2.751463, 2.751313, 2.791963, 2.844512, 
    2.907558, 2.975155, 3.017151, 3.035748, 3.041746, 3.044594, 3.052992, 
    3.057741, 3.051992, 3.013795, 2.957298, 2.9145, 2.891652, 2.902304, 
    2.930606, 2.962257, 2.992159, 2.997409, 2.96621, 2.916261, 2.865262, 
    2.796762, 2.712561, 2.64476, 2.59516, 2.563059, 2.569509, 2.611759, 
    2.671859, 2.73916, 2.815262, 2.887014, 2.940567, 2.970819, 2.982469, 
    2.987769, 2.985718, 2.977317, 2.970865, 2.972514, 3.002162, 3.08586, 
    3.186011, 3.276011, 3.341162, 3.380663, 3.405413, 3.424263, 3.427362, 
    3.40256, 3.356607, 3.336004, 3.3462, 3.421697, 3.535395, 3.609992, 
    3.69054, 3.786988, 2.703391, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.320602, 1.438679, 
    1.342807, 1.996446, 2.099811, 1.858461, 1.66476, 1.493459, 1.319208, 
    1.154205, 1.059253, 1.090651, 1.237849, 1.493349, 1.791749, 2.1178, 
    2.465901, 2.789202, 3.058503, 3.287204, 3.444555, 3.517056, 3.497507, 
    3.431057, 3.342506, 3.270355, 3.229504, 3.207903, 3.203403, 3.214203, 
    3.233503, 3.257003, 3.283252, 3.304802, 3.309752, 3.290551, 3.249651, 
    3.201151, 3.15575, 3.117348, 3.085546, 3.031244, 2.238327, 0.4446483, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9887507, 
    1.982051, 1.994652, 2.017252, 2.049003, 2.090553, 2.137853, 2.184253, 
    2.227755, 2.265656, 2.302558, 2.326159, 2.329511, 2.307311, 2.271812, 
    2.234112, 2.198761, 2.162711, 2.13256, 2.107158, 2.091006, 2.083255, 
    2.090104, 2.095554, 2.099253, 2.102603, 2.106303, 2.107653, 2.108253, 
    2.108503, 2.108503, 2.108503, 2.108503, 2.108503, 2.108453, 2.107852, 
    2.106753, 2.103903, 2.098752, 2.090252, 2.080252, 2.068152, 2.052852, 
    2.034852, 2.013752, 1.989851, 1.962052, 1.915801, 1.819499, 0.5314492, 0, 
    0, 0, 0.3653165, 0.5324464, 0.855934, 0.6344422, 0.4367501, 0.04354004, 
    0, 0, 0.2641896, 0.6573844, 0.4623451, 0.1577139, 0.09462836, 0.2705491, 
    0.5428969, 0.5379983, 0.3493927, 0.5126576, 0.5570531, 0.4442881, 
    0.5428767, 0.3203921, 0, 0.2288023, 0.1372814, 0, 0, 0.3240741, 
    0.6712534, 0.7048112, 0.9235197, 1.408764, 1.454515, 1.531116, 1.635368, 
    1.753019, 1.875921, 2.012774, 2.169226, 2.330778, 2.48988, 2.652381, 
    2.77238, 2.821029, 2.815076, 2.782323, 2.73737, 2.687017, 2.627914, 
    2.551811, 2.463559, 2.400757, 2.373307, 2.379507, 2.397207, 2.413507, 
    2.426657, 2.437557, 2.436657,
  2.483505, 2.468805, 2.444705, 2.437105, 2.442256, 2.456507, 2.488957, 
    2.549058, 2.632259, 2.71091, 2.76416, 2.79221, 2.80801, 2.825909, 
    2.849659, 2.867308, 2.866508, 2.855557, 2.855757, 2.895607, 2.936756, 
    2.974755, 3.011052, 3.026001, 3.021999, 3.009948, 2.997047, 2.991546, 
    2.991246, 2.991646, 2.972797, 2.936999, 2.91075, 2.9048, 2.933202, 
    2.977103, 3.020254, 3.059205, 3.073355, 3.050506, 3.007257, 2.960857, 
    2.891457, 2.801406, 2.727006, 2.671505, 2.634955, 2.637054, 2.678254, 
    2.740804, 2.819305, 2.917207, 3.01501, 3.092512, 3.140664, 3.160215, 
    3.166265, 3.159014, 3.139713, 3.113511, 3.091259, 3.098407, 3.167556, 
    3.264755, 3.359255, 3.430655, 3.476556, 3.505557, 3.524006, 3.521456, 
    3.479905, 3.407203, 3.358001, 3.338898, 3.386897, 3.475745, 3.527493, 
    3.589391, 3.665339, 2.608891, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7431132, 1.480276, 2.786672, 
    2.8778, 2.702003, 2.447805, 2.187956, 1.949206, 1.751256, 1.571856, 
    1.385105, 1.205004, 1.091003, 1.100551, 1.2371, 1.4892, 1.78825, 2.11845, 
    2.472401, 2.801401, 3.075751, 3.311601, 3.478502, 3.560003, 3.547003, 
    3.482203, 3.389303, 3.308802, 3.258002, 3.228201, 3.220601, 3.231701, 
    3.2505, 3.272801, 3.297351, 3.318151, 3.324001, 3.308852, 3.272153, 
    3.221603, 3.169502, 3.120202, 3.074151, 2.565133, 0.741387, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4959244, 
    1.693005, 2.007751, 2.035951, 2.071752, 2.116302, 2.165802, 2.214452, 
    2.265253, 2.315003, 2.365554, 2.402205, 2.415756, 2.399556, 2.366306, 
    2.330257, 2.294007, 2.251806, 2.209956, 2.171005, 2.142004, 2.122102, 
    2.122202, 2.123802, 2.125002, 2.126201, 2.127901, 2.128501, 2.128501, 
    2.128501, 2.128501, 2.128501, 2.128501, 2.128501, 2.128401, 2.127501, 
    2.126501, 2.123401, 2.117301, 2.107801, 2.096251, 2.082601, 2.066901, 
    2.049501, 2.027501, 2.003051, 1.977601, 1.927951, 1.372933, 0.2639598, 0, 
    0, 0, 0.2719914, 0.4035994, 0.7388928, 0.3599967, 0, 0, 0, 0, 0, 
    0.5608456, 0.4203469, 0, 0, 0.2679669, 0.5208987, 0.5282497, 0.5401506, 
    0.5579018, 0.5909531, 0.6387542, 0.4334656, 0.03359488, 0.1422217, 
    0.7232905, 0.6796117, 0.5952407, 0.643348, 1.003304, 1.381806, 1.445305, 
    1.482756, 1.510506, 1.563807, 1.654308, 1.774509, 1.90626, 2.047112, 
    2.211165, 2.388666, 2.563767, 2.735368, 2.905618, 3.021668, 3.056267, 
    3.028915, 2.969313, 2.897061, 2.822009, 2.739257, 2.639006, 2.530904, 
    2.458254, 2.426904, 2.432604, 2.451654, 2.470254, 2.485704, 2.497555, 
    2.497154,
  2.533001, 2.522852, 2.506102, 2.504452, 2.515502, 2.537053, 2.578203, 
    2.649453, 2.740754, 2.824354, 2.877203, 2.903754, 2.917254, 2.930403, 
    2.945503, 2.951502, 2.937001, 2.915151, 2.9104, 2.94295, 2.97675, 3.0011, 
    3.017949, 3.017999, 3.002999, 2.982749, 2.963449, 2.952099, 2.950499, 
    2.950649, 2.939549, 2.915899, 2.899499, 2.9041, 2.94155, 2.9909, 
    3.034499, 3.071449, 3.091349, 3.076799, 3.039999, 2.997949, 2.930049, 
    2.842, 2.77025, 2.718101, 2.685551, 2.682651, 2.721251, 2.785751, 
    2.882152, 3.012253, 3.143255, 3.250456, 3.323457, 3.355958, 3.363008, 
    3.351157, 3.318057, 3.261806, 3.203754, 3.177553, 3.222352, 3.308801, 
    3.403251, 3.479151, 3.532001, 3.566802, 3.587002, 3.581301, 3.527101, 
    3.4295, 3.351499, 3.305698, 3.326197, 3.390846, 3.422996, 3.466345, 
    3.519244, 2.496196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.1491614, 1.490413, 2.227806, 2.9561, 2.9297, 
    2.87855, 2.727251, 2.499651, 2.253502, 2.020352, 1.821502, 1.637352, 
    1.442952, 1.252352, 1.123001, 1.115451, 1.2437, 1.4916, 1.7895, 2.121, 
    2.4783, 2.80955, 3.08475, 3.32425, 3.499451, 3.589151, 3.581251, 
    3.518051, 3.421551, 3.333051, 3.27325, 3.2355, 3.22565, 3.23685, 3.25625, 
    3.27915, 3.3049, 3.32835, 3.340501, 3.334801, 3.308651, 3.262402, 
    3.209752, 3.157102, 3.106802, 2.141651, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6985468, 1.915693, 2.052751, 
    2.094001, 2.140851, 2.191651, 2.239801, 2.292251, 2.350651, 2.413502, 
    2.461902, 2.485252, 2.473252, 2.440852, 2.406052, 2.371002, 2.327203, 
    2.274352, 2.221201, 2.179001, 2.147301, 2.141901, 2.142, 2.142, 2.142, 
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    2.142451, 2.14185, 2.140501, 2.13705, 2.12935, 2.11835, 2.10525, 2.0904, 
    2.07455, 2.0536, 2.0295, 2.00575, 1.98275, 1.9294, 0.9254994, 0, 0, 0, 
    0.1885144, 0.6181557, 0.6798964, 0.5617901, 0.1692371, 0, 0, 0, 0, 0, 
    0.5069481, 0.4577544, 0.2502691, 0.2464688, 0.2719168, 0.5088997, 
    0.5290002, 0.5547008, 0.3458329, 0.6360519, 0.6987525, 0.509123, 
    0.4516844, 0.6435273, 1.045504, 1.141254, 1.244154, 1.334854, 1.402753, 
    1.460853, 1.511802, 1.547002, 1.583502, 1.644503, 1.743353, 1.873203, 
    2.017253, 2.174253, 2.358604, 2.548854, 2.728504, 2.903254, 3.073204, 
    3.182453, 3.205003, 3.161753, 3.083252, 2.991852, 2.899751, 2.801001, 
    2.685701, 2.5661, 2.48775, 2.45385, 2.4612, 2.484051, 2.506501, 2.525801, 
    2.541001, 2.543101,
  2.5645, 2.5582, 2.54995, 2.5553, 2.57125, 2.59735, 2.64475, 2.72205, 
    2.81525, 2.90145, 2.95645, 2.9818, 2.9925, 2.99935, 3.0023, 2.99185, 
    2.96025, 2.9248, 2.90755, 2.93015, 2.95775, 2.9787, 2.99015, 2.9867, 
    2.971, 2.95215, 2.93535, 2.92495, 2.92225, 2.9199, 2.907, 2.8871, 
    2.87575, 2.8861, 2.9242, 2.96795, 3.003, 3.0293, 3.04535, 3.03545, 
    3.0045, 2.96655, 2.90215, 2.8245, 2.76475, 2.7253, 2.70625, 2.7067, 
    2.743, 2.80975, 2.93095, 3.10035, 3.2685, 3.4083, 3.5053, 3.54955, 
    3.55675, 3.5405, 3.4909, 3.3952, 3.29325, 3.22595, 3.2364, 3.30425, 
    3.392, 3.47065, 3.53045, 3.5715, 3.594, 3.58465, 3.5211, 3.40625, 3.3075, 
    3.24165, 3.2373, 3.27925, 3.297, 3.3256, 3.3629, 2.88105, 0.83625, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.74725, 
    1.49205, 1.6367, 2.97375, 2.96325, 2.94645, 2.92225, 2.8764, 2.7405, 
    2.53215, 2.29965, 2.07375, 1.87675, 1.69025, 1.4908, 1.2926, 1.15175, 
    1.1341, 1.2567, 1.5, 1.7965, 2.12835, 2.48635, 2.81825, 3.091, 3.3277, 
    3.507, 3.6027, 3.59875, 3.53775, 3.4388, 3.34375, 3.27625, 3.2329, 
    3.22315, 3.2361, 3.2585, 3.2837, 3.31245, 3.34035, 3.36, 3.3653, 3.3514, 
    3.3139, 3.267, 3.2201, 3.17335, 2.18995, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.0127, 2.07085, 2.118, 
    2.16585, 2.21465, 2.26005, 2.30975, 2.36995, 2.43895, 2.49325, 2.52025, 
    2.5084, 2.47595, 2.4425, 2.40925, 2.36655, 2.3087, 2.24695, 2.196, 2.158, 
    2.1505, 2.1505, 2.15075, 2.151, 2.151, 2.151, 2.151, 2.151, 2.151, 2.151, 
    2.151, 2.151, 2.151, 2.1507, 2.14875, 2.14435, 2.1352, 2.12125, 2.10675, 
    2.09015, 2.07065, 2.04105, 2.01075, 1.9864, 1.96235, 1.6297, 0.45925, 0, 
    0, 0.1137, 0.53575, 0.6351, 0.58425, 0.4032, 0, 0, 0, 0, 0, 0, 0.4569, 
    0.4943, 0.48525, 0.31695, 0.4664, 0.5089, 0.541, 0.58045, 0.3869, 
    0.69265, 0.7705, 0.8585, 0.95675, 1.0597, 1.16075, 1.25585, 1.35185, 
    1.4304, 1.48675, 1.534, 1.57135, 1.6057, 1.64675, 1.7109, 1.81035, 
    1.94005, 2.0845, 2.24785, 2.4382, 2.6321, 2.80825, 2.97845, 3.1378, 
    3.23605, 3.25025, 3.2004, 3.1127, 3.01125, 2.9105, 2.80415, 2.68235, 
    2.56355, 2.48725, 2.45505, 2.46515, 2.49125, 2.5185, 2.54295, 2.563, 
    2.56965,
  2.57, 2.56545, 2.5625, 2.5743, 2.59475, 2.62255, 2.66965, 2.7445, 2.835251, 
    2.9246, 2.9838, 3.01065, 3.0195, 3.02135, 3.016101, 2.99435, 2.951751, 
    2.905301, 2.872552, 2.884852, 2.907253, 2.928952, 2.942702, 2.941352, 
    2.927502, 2.911902, 2.898802, 2.890801, 2.886752, 2.880252, 2.862102, 
    2.838952, 2.828252, 2.840652, 2.878002, 2.917902, 2.948003, 2.967603, 
    2.975953, 2.966303, 2.940753, 2.907853, 2.850402, 2.783052, 2.733502, 
    2.704601, 2.697301, 2.707951, 2.7445, 2.81255, 2.959699, 3.169598, 
    3.374497, 3.544746, 3.662045, 3.713845, 3.720245, 3.699345, 3.634795, 
    3.496847, 3.347749, 3.23785, 3.211852, 3.257452, 3.335253, 3.413403, 
    3.476953, 3.521603, 3.544753, 3.531503, 3.459853, 3.332954, 3.220754, 
    3.140755, 3.117705, 3.141506, 3.150256, 3.169856, 3.199356, 3.238356, 
    2.427443, 0.4787635, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.487751, 2.971651, 2.964951, 2.957701, 2.948751, 
    2.933851, 2.91285, 2.87475, 2.755249, 2.561199, 2.338449, 2.117698, 
    1.920999, 1.731299, 1.526249, 1.327099, 1.181749, 1.157149, 1.275299, 
    1.515549, 1.8075, 2.13165, 2.482001, 2.807901, 3.073751, 3.301802, 
    3.480452, 3.578102, 3.578002, 3.523301, 3.430601, 3.337951, 3.26825, 
    3.223401, 3.215301, 3.2323, 3.2595, 3.2881, 3.32145, 3.35485, 3.381749, 
    3.398149, 3.397198, 3.370748, 3.336747, 3.306246, 3.271396, 2.75146, 
    0.8121881, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.1034079, 1.359705, 2.139999, 2.187099, 2.2303, 2.27115, 
    2.3175, 2.37575, 2.44405, 2.4983, 2.52325, 2.51005, 2.4791, 2.4491, 
    2.418, 2.3764, 2.31805, 2.2537, 2.19975, 2.1605, 2.153, 2.15315, 2.15375, 
    2.154, 2.154, 2.15415, 2.1545, 2.1545, 2.1545, 2.1545, 2.1545, 2.1545, 
    2.15405, 2.1537, 2.15125, 2.14565, 2.1346, 2.11735, 2.09975, 2.07865, 
    2.051051, 2.012551, 1.978001, 1.951501, 1.822309, 0.6675008, 0, 0, 0, 
    0.2115012, 0.6452538, 0.5389529, 0.5077022, 0.3542016, 0, 0, 0, 0, 0, 0, 
    0.2379148, 0.4553013, 0.4580009, 0.3021377, 0.4643981, 0.5195495, 
    0.563499, 0.6158485, 0.6795979, 0.7609972, 0.8542466, 0.9544963, 
    1.060546, 1.167296, 1.268746, 1.358997, 1.444647, 1.509148, 1.551248, 
    1.590898, 1.625798, 1.662648, 1.704748, 1.767498, 1.863248, 1.987849, 
    2.128249, 2.288599, 2.46965, 2.651901, 2.817251, 2.975952, 3.119603, 
    3.205303, 3.212253, 3.160053, 3.069853, 2.966953, 2.865753, 2.760003, 
    2.640952, 2.531502, 2.462751, 2.435651, 2.447501, 2.473851, 2.504251, 
    2.533951, 2.559951, 2.571401,
  2.542003, 2.539203, 2.539353, 2.552453, 2.573254, 2.599304, 2.639954, 
    2.704505, 2.785507, 2.872107, 2.933357, 2.963557, 2.975506, 2.979056, 
    2.974405, 2.951055, 2.906755, 2.856505, 2.813255, 2.816506, 2.835256, 
    2.857856, 2.876156, 2.879555, 2.870005, 2.858005, 2.848355, 2.843304, 
    2.837754, 2.826955, 2.801655, 2.771905, 2.758006, 2.768256, 2.803007, 
    2.840607, 2.868757, 2.885357, 2.888207, 2.876858, 2.856007, 2.829207, 
    2.782006, 2.726455, 2.685254, 2.662604, 2.660004, 2.676054, 2.712754, 
    2.778854, 2.946853, 3.191801, 3.429249, 3.624697, 3.759995, 3.820745, 
    3.829244, 3.805544, 3.731445, 3.555697, 3.362751, 3.213203, 3.151056, 
    3.171058, 3.23676, 3.31051, 3.37446, 3.42011, 3.44301, 3.42776, 3.34971, 
    3.21861, 3.10076, 3.01231, 2.976561, 2.988712, 2.995512, 3.011412, 
    3.039212, 3.076362, 3.107761, 0.9355534, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.439733, 2.206889, 2.945902, 2.942852, 
    2.938151, 2.931001, 2.918601, 2.901401, 2.8726, 2.774249, 2.592247, 
    2.375697, 2.157047, 1.958247, 1.763298, 1.555997, 1.363897, 1.220246, 
    1.187197, 1.301298, 1.533649, 1.81175, 2.116802, 2.450603, 2.762555, 
    3.017005, 3.234006, 3.408607, 3.508357, 3.517505, 3.477304, 3.402202, 
    3.320652, 3.254751, 3.210901, 3.205001, 3.2273, 3.25975, 3.2922, 
    3.329449, 3.367199, 3.400249, 3.426998, 3.440047, 3.426996, 3.410994, 
    3.398843, 3.379042, 3.343541, 1.658995, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3192486, 1.62183, 
    2.201199, 2.23495, 2.268151, 2.309501, 2.363452, 2.426903, 2.479703, 
    2.502503, 2.489953, 2.463652, 2.439152, 2.412251, 2.374151, 2.3185, 
    2.25525, 2.2, 2.1605, 2.15305, 2.15365, 2.154, 2.154, 2.15445, 2.15465, 
    2.155, 2.155, 2.155, 2.155, 2.155, 2.155, 2.1545, 2.15355, 2.1505, 
    2.14325, 2.129551, 2.108801, 2.086251, 2.058802, 2.022402, 1.975103, 
    1.934754, 1.895106, 0.9422655, 0, 0.3194513, 0.1916708, 0, 0.1831519, 
    0.5600055, 0.4766036, 0.459603, 0.3859421, 0.2184667, 0.06539004, 0, 0, 
    0, 0, 0.04315007, 0.4333007, 0.4417506, 0.4617502, 0.4932493, 0.5368984, 
    0.5919977, 0.6565468, 0.7356457, 0.8329447, 0.9359943, 1.039744, 
    1.149494, 1.253895, 1.349745, 1.433696, 1.507546, 1.558997, 1.595497, 
    1.635147, 1.673247, 1.712296, 1.754247, 1.814397, 1.906147, 2.025647, 
    2.158998, 2.30495, 2.466501, 2.627453, 2.773254, 2.913106, 3.038957, 
    3.111908, 3.111508, 3.058608, 2.972508, 2.876408, 2.783257, 2.686256, 
    2.578405, 2.479455, 2.417754, 2.394903, 2.406953, 2.432204, 2.462504, 
    2.493854, 2.523504, 2.539154,
  2.482508, 2.480059, 2.480409, 2.48846, 2.503511, 2.522762, 2.554163, 
    2.605114, 2.671016, 2.747768, 2.809468, 2.844817, 2.866015, 2.878114, 
    2.880763, 2.862912, 2.824511, 2.77981, 2.73526, 2.730661, 2.745261, 
    2.767211, 2.788661, 2.796561, 2.79251, 2.78531, 2.780359, 2.779109, 
    2.773758, 2.760358, 2.728859, 2.694509, 2.677259, 2.68381, 2.71401, 
    2.747361, 2.772262, 2.785263, 2.783863, 2.771263, 2.754513, 2.733212, 
    2.696111, 2.652509, 2.619509, 2.600508, 2.598608, 2.615108, 2.648509, 
    2.709559, 2.88536, 3.153908, 3.416255, 3.631003, 3.781202, 3.851451, 
    3.863751, 3.839651, 3.760201, 3.561453, 3.333256, 3.14916, 3.050663, 
    3.041967, 3.091019, 3.15722, 3.22102, 3.268269, 3.292019, 3.277619, 
    3.198569, 3.074318, 2.961017, 2.875016, 2.834766, 2.840916, 2.851015, 
    2.868115, 2.899964, 2.940213, 2.979262, 1.940415, 1.342193, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.875101, 2.918253, 
    2.919153, 2.917953, 2.915453, 2.910003, 2.899652, 2.885402, 2.863902, 
    2.785999, 2.615348, 2.401249, 2.184848, 1.986998, 1.791947, 1.590696, 
    1.408945, 1.270244, 1.228145, 1.338495, 1.555047, 1.8115, 2.093502, 
    2.406755, 2.701307, 2.940759, 3.143811, 3.312312, 3.414462, 3.440259, 
    3.421257, 3.367654, 3.299453, 3.239252, 3.197602, 3.193352, 3.221601, 
    3.2605, 3.297299, 3.336949, 3.376949, 3.413749, 3.448448, 3.475546, 
    3.478794, 3.479993, 3.478042, 3.469541, 3.453539, 1.720994, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5473751, 1.103852, 2.123375, 2.257201, 2.291502, 2.338753, 2.394504, 
    2.440705, 2.459256, 2.448755, 2.429155, 2.411804, 2.391003, 2.358302, 
    2.308552, 2.250851, 2.19875, 2.161, 2.15355, 2.154, 2.154, 2.15435, 
    2.15495, 2.15515, 2.1555, 2.1555, 2.1555, 2.1555, 2.1555, 2.1555, 
    2.15495, 2.1534, 2.1495, 2.14035, 2.123001, 2.097601, 2.069752, 2.035253, 
    1.990104, 1.936854, 1.885506, 1.821558, 0.1805509, 0, 0.3195731, 
    0.1917438, 0, 0.162002, 0.5017551, 0.4453018, 0.435551, 0.4338509, 
    0.432501, 0.2781663, 0.1892067, 0, 0, 0, 0.2106616, 0.4295498, 0.4399994, 
    0.4647989, 0.506698, 0.5610968, 0.6269954, 0.7040939, 0.7974923, 
    0.9057914, 1.012491, 1.114991, 1.224442, 1.322942, 1.410743, 1.488744, 
    1.553395, 1.600095, 1.639244, 1.680145, 1.720194, 1.760944, 1.802994, 
    1.859745, 1.943996, 2.053447, 2.173249, 2.301451, 2.442354, 2.580857, 
    2.706259, 2.826761, 2.934263, 2.993965, 2.988265, 2.936715, 2.857064, 
    2.769313, 2.685762, 2.599761, 2.504409, 2.417358, 2.363757, 2.344806, 
    2.356856, 2.380106, 2.408007, 2.436957, 2.464208, 2.479658,
  2.400014, 2.396164, 2.392165, 2.392366, 2.399017, 2.408819, 2.428471, 
    2.465023, 2.516525, 2.581327, 2.641178, 2.685676, 2.718275, 2.741423, 
    2.754221, 2.74552, 2.716018, 2.679867, 2.640366, 2.629866, 2.638017, 
    2.657018, 2.678818, 2.689768, 2.691517, 2.691166, 2.693315, 2.698313, 
    2.696512, 2.683512, 2.649862, 2.613212, 2.594762, 2.598013, 2.622114, 
    2.649865, 2.669016, 2.676966, 2.672617, 2.661016, 2.647266, 2.629666, 
    2.600165, 2.565314, 2.538513, 2.522563, 2.521363, 2.534914, 2.562765, 
    2.617566, 2.789567, 3.069466, 3.346764, 3.574713, 3.736761, 3.81286, 
    3.82751, 3.80331, 3.72151, 3.513861, 3.261764, 3.050267, 2.921171, 
    2.887675, 2.919527, 2.976579, 3.038779, 3.088229, 3.114278, 3.103927, 
    3.031476, 2.918074, 2.814522, 2.73897, 2.70132, 2.70497, 2.720019, 
    2.740669, 2.77457, 2.81442, 2.86077, 2.90222, 2.623969, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1433063, 1.869395, 2.889004, 
    2.890855, 2.890504, 2.889254, 2.885004, 2.875854, 2.863454, 2.847953, 
    2.786751, 2.625099, 2.412449, 2.199248, 2.005997, 1.817996, 1.628294, 
    1.460691, 1.33149, 1.28489, 1.388891, 1.586694, 1.819498, 2.077852, 
    2.367405, 2.640359, 2.860512, 3.044966, 3.204018, 3.310866, 3.355263, 
    3.35941, 3.327706, 3.274204, 3.221253, 3.181953, 3.180252, 3.216051, 
    3.26225, 3.302849, 3.344399, 3.385449, 3.423249, 3.462099, 3.498798, 
    3.514546, 3.521997, 2.286624, 1.931581, 2.988007, 0.8745167, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.118373, 2.25055, 2.279001, 2.321801, 2.371202, 2.407154, 2.419255, 
    2.410005, 2.395704, 2.384653, 2.369003, 2.339702, 2.293602, 2.241152, 
    2.19625, 2.1615, 2.154, 2.154, 2.15425, 2.15485, 2.15505, 2.15565, 2.156, 
    2.15635, 2.1565, 2.1565, 2.1565, 2.15615, 2.15545, 2.15375, 2.1485, 
    2.1373, 2.115951, 2.085402, 2.052003, 2.010204, 1.956205, 1.899656, 
    1.393643, 0.8928723, 0.1607049, 0.6933383, 0.311155, 0, 0, 0.1486514, 
    0.469753, 0.4335012, 0.4270512, 0.4253513, 0.4237513, 0.4207515, 
    0.3957447, 0.1438061, 0, 0, 0.2108512, 0.4318995, 0.4472485, 0.4779974, 
    0.5281962, 0.5913451, 0.6674938, 0.7565922, 0.8627903, 0.9792891, 
    1.086239, 1.18654, 1.29184, 1.384791, 1.466242, 1.537543, 1.599793, 
    1.649842, 1.690992, 1.730042, 1.769543, 1.808993, 1.848744, 1.899345, 
    1.972197, 2.065899, 2.168752, 2.278255, 2.397308, 2.513262, 2.618015, 
    2.718568, 2.807571, 2.854473, 2.845273, 2.797223, 2.725721, 2.648369, 
    2.575518, 2.501616, 2.419864, 2.345711, 2.30151, 2.28636, 2.29731, 
    2.31801, 2.343261, 2.368861, 2.391262, 2.402263,
  2.306519, 2.300219, 2.29007, 2.282272, 2.279773, 2.279376, 2.286378, 
    2.308131, 2.344284, 2.395137, 2.451087, 2.504886, 2.548534, 2.583082, 
    2.60763, 2.609577, 2.590275, 2.563273, 2.530572, 2.515973, 2.515275, 
    2.528576, 2.548577, 2.562126, 2.570525, 2.578923, 2.590321, 2.604119, 
    2.608518, 2.599267, 2.567716, 2.531066, 2.511516, 2.511217, 2.528668, 
    2.54987, 2.56402, 2.568721, 2.562871, 2.552971, 2.54102, 2.52592, 
    2.502169, 2.473368, 2.449768, 2.434218, 2.430668, 2.438919, 2.46077, 
    2.509572, 2.675622, 2.957123, 3.241772, 3.478471, 3.64852, 3.728969, 
    3.745019, 3.720819, 3.637869, 3.42577, 3.161271, 2.930024, 2.777028, 
    2.723482, 2.740034, 2.788086, 2.847687, 2.900136, 2.929785, 2.925134, 
    2.863132, 2.763179, 2.674276, 2.610924, 2.576823, 2.578373, 2.598272, 
    2.622021, 2.654122, 2.687523, 2.730525, 2.765827, 2.496525, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.415519, 2.853006, 
    2.857756, 2.859356, 2.859506, 2.859056, 2.855506, 2.847056, 2.836006, 
    2.824355, 2.775504, 2.623402, 2.415001, 2.206749, 2.020498, 1.842996, 
    1.668542, 1.519688, 1.406235, 1.363483, 1.463283, 1.643135, 1.85299, 
    2.087694, 2.352449, 2.601304, 2.798758, 2.960513, 3.102866, 3.213117, 
    3.275264, 3.30171, 3.290806, 3.251153, 2.410056, 1.587156, 1.587306, 
    1.607413, 2.454559, 2.146793, 1.674589, 2.207951, 3.430748, 3.470649, 
    3.510798, 3.528649, 3.53325, 1.0602, 0.1767675, 1.237372, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.2243001, 2.247801, 2.277499, 2.323298, 2.368698, 2.3941, 2.398252, 
    2.387003, 2.375703, 2.368102, 2.354252, 2.325352, 2.278303, 2.228603, 
    2.191001, 2.16075, 2.154, 2.15415, 2.15475, 2.155, 2.1555, 2.15615, 
    2.1565, 2.15685, 2.15745, 2.1575, 2.15725, 2.15665, 2.15635, 2.1541, 
    2.14775, 2.134051, 2.108851, 2.073202, 2.034003, 1.985355, 1.922656, 
    1.861307, 0.9152539, 0.5639846, 0.8161436, 1.342167, 0.6012581, 0, 
    0.02619, 0.3241812, 0.4542522, 0.4285004, 0.4215006, 0.4188508, 
    0.4172509, 0.4142506, 0.4120503, 0.3493265, 0.1027108, 0, 0.02145819, 
    0.2847568, 0.4584975, 0.4975458, 0.5561441, 0.6271425, 0.711741, 
    0.8103393, 0.9257882, 1.048687, 1.153488, 1.250588, 1.352189, 1.444238, 
    1.521239, 1.58774, 1.648891, 1.699991, 1.739992, 1.775792, 1.811543, 
    1.846794, 1.880995, 1.923597, 1.983949, 2.060903, 2.145506, 2.23571, 
    2.332364, 2.426168, 2.510522, 2.591726, 2.662879, 2.697632, 2.686282, 
    2.643781, 2.581928, 2.516726, 2.455774, 2.394471, 2.326819, 2.266066, 
    2.231264, 2.219913, 2.229713, 2.247264, 2.269265, 2.290566, 2.307767, 
    2.313868,
  2.206024, 2.197974, 2.182475, 2.167176, 2.155529, 2.144231, 2.137784, 
    2.144088, 2.164042, 2.199745, 2.249947, 2.310796, 2.365043, 2.411241, 
    2.448038, 2.461135, 2.452033, 2.434531, 2.408779, 2.38993, 2.379532, 
    2.384884, 2.401436, 2.417485, 2.432783, 2.450881, 2.473279, 2.497226, 
    2.509524, 2.506423, 2.479521, 2.444571, 2.423771, 2.419422, 2.430123, 
    2.444175, 2.454526, 2.457526, 2.451876, 2.442776, 2.432525, 2.420524, 
    2.402173, 2.378772, 2.357771, 2.341671, 2.334622, 2.338223, 2.355024, 
    2.398075, 2.557677, 2.833729, 3.11728, 3.35708, 3.530481, 3.61298, 
    3.628781, 3.604331, 3.520831, 3.307331, 3.039031, 2.796982, 2.627085, 
    2.557188, 2.56179, 2.602442, 2.660042, 2.715542, 2.749041, 2.750689, 
    2.700586, 2.618681, 2.546278, 2.494525, 2.463924, 2.463225, 2.485025, 
    2.512424, 2.544674, 2.570726, 2.59953, 2.618885, 2.358233, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1361375, 1.364074, 1.375619, 1.386114, 
    2.666844, 2.817059, 2.82051, 2.822209, 2.822959, 2.822709, 2.819509, 
    2.812109, 2.803058, 2.794107, 2.754006, 2.612753, 2.410551, 2.209649, 
    2.033746, 1.869393, 1.713239, 1.585784, 1.492729, 1.461276, 1.565524, 
    1.734426, 1.925479, 2.138234, 2.379639, 2.605844, 2.77775, 2.916405, 
    3.038709, 3.143361, 3.21751, 3.262256, 3.270202, 2.758672, 0.8043687, 0, 
    0, 0, 0.8228772, 0.4937263, 0, 0.5130852, 1.718038, 1.738047, 3.343929, 
    3.532599, 2.650905, 0.5303431, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1121014, 1.46136, 
    2.280749, 2.337146, 2.382346, 2.396848, 2.39225, 2.377151, 2.366651, 
    2.359601, 2.344752, 2.313103, 2.261504, 2.211404, 2.180753, 2.157101, 
    2.153, 2.1543, 2.155, 2.15535, 2.156, 2.15665, 2.15725, 2.1575, 2.158, 
    2.1585, 1.618747, 1.078995, 2.049449, 2.15445, 2.14725, 2.1313, 2.101851, 
    2.061502, 2.016754, 1.961505, 1.890957, 1.824758, 1.310814, 1.353997, 
    1.449268, 1.096692, 0.290133, 0, 0.2998865, 0.4990525, 0.4489998, 
    0.4273001, 0.4190004, 0.4153506, 0.4140005, 0.4119503, 0.41105, 
    0.4111499, 0.3092024, 0.06207152, 0.02183998, 0.2896795, 0.4697478, 
    0.5174459, 0.5850938, 0.5543923, 0.3679186, 0.7408447, 0.9887853, 
    1.114535, 1.217486, 1.310287, 1.408438, 1.499189, 1.57224, 1.634791, 
    1.691892, 1.739243, 1.775993, 1.808194, 1.839545, 1.870096, 1.898248, 
    1.932, 1.979153, 2.038257, 2.103761, 2.173816, 2.247922, 2.319577, 
    2.384031, 2.446385, 2.500639, 2.524241, 2.512542, 2.47704, 2.426587, 
    2.374884, 2.326781, 2.278678, 2.225374, 2.178921, 2.153269, 2.145468, 
    2.154118, 2.168219, 2.18627, 2.202921, 2.215322, 2.217473,
  2.101028, 2.092279, 2.073329, 2.051731, 2.032033, 2.010935, 1.991638, 
    1.982542, 1.986047, 2.006701, 2.051002, 2.115751, 2.178799, 2.235547, 
    2.283044, 2.306242, 2.306289, 2.297937, 2.278386, 2.254338, 2.23504, 
    2.231492, 2.243243, 2.260193, 2.281542, 2.30849, 2.341687, 2.375335, 
    2.396033, 2.40063, 2.379429, 2.347728, 2.326528, 2.318978, 2.32318, 
    2.331431, 2.339282, 2.341532, 2.337331, 2.329731, 2.32153, 2.312979, 
    2.300228, 2.282826, 2.265025, 2.248975, 2.239525, 2.239326, 2.252027, 
    2.289928, 2.44243, 2.707734, 2.980288, 3.213291, 3.383543, 3.463745, 
    3.477545, 3.453195, 3.371344, 3.160243, 2.895541, 2.653939, 2.47649, 
    2.396142, 2.391544, 2.426495, 2.482296, 2.539796, 2.576795, 2.584393, 
    2.548539, 2.486734, 2.42978, 2.390326, 2.365974, 2.363874, 2.383025, 
    2.413374, 2.448373, 2.10287, 1.874853, 2.482532, 1.264648, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.342327, 2.714558, 2.736758, 2.75581, 
    2.76921, 2.776761, 2.779261, 2.780361, 2.781412, 2.781212, 2.778012, 
    2.772011, 2.765611, 2.75986, 2.726258, 2.593957, 2.400054, 2.208352, 
    2.044498, 1.894994, 1.759838, 1.655832, 1.584725, 1.56927, 1.684716, 
    1.853465, 2.034716, 2.233818, 2.459021, 2.661078, 2.808234, 2.927038, 
    3.031593, 3.126196, 3.202996, 3.257395, 3.111832, 1.138109, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.58715, 1.767947, 0.8839733, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.3382811, 1.7228, 2.355444, 2.401994, 2.406097, 2.393249, 2.37445, 
    2.363001, 2.353502, 2.335753, 2.299454, 2.242656, 2.191406, 2.167254, 
    2.151152, 2.150501, 2.1536, 2.15525, 2.15585, 2.1565, 2.15715, 2.15775, 
    2.15835, 2.1586, 2.1595, 1.07975, 0, 1.9424, 2.1548, 2.14675, 2.128551, 
    2.095352, 2.050803, 2.001254, 1.940155, 1.862307, 1.792358, 1.69801, 
    1.557812, 1.389511, 0.8820075, 0.2278779, 0.4060823, 0.5863293, 0.495499, 
    0.4497499, 0.4267502, 0.4171005, 0.4133503, 0.4122504, 0.4111501, 0.411, 
    0.4113, 0.4134997, 0.2714211, 0.2372462, 0.4459487, 0.4784979, 0.5351953, 
    0.6125925, 0.4745933, 0, 0.6632394, 1.049784, 1.176284, 1.275236, 
    1.362638, 1.455889, 1.541341, 1.609492, 1.667843, 1.720844, 1.763845, 
    1.797246, 1.825747, 1.852948, 1.87825, 1.900002, 1.924204, 1.956958, 
    1.997963, 2.043769, 2.093074, 2.14538, 2.195285, 2.24029, 2.284595, 
    2.322949, 2.336802, 2.326301, 2.299349, 2.262095, 2.224191, 2.189288, 
    2.154734, 2.11638, 2.084276, 2.068024, 2.063673, 2.070124, 2.080675, 
    2.094526, 2.107327, 2.115478, 2.114878,
  1.992534, 1.983084, 1.962634, 1.936885, 1.911536, 1.883388, 1.853941, 
    1.831145, 1.820048, 1.828901, 1.869102, 1.934303, 2.002552, 2.06625, 
    2.121049, 2.151547, 2.159795, 2.158943, 2.141793, 2.112194, 2.085546, 
    2.073949, 2.079601, 2.095951, 2.1213, 2.154699, 2.196147, 2.237644, 
    2.265792, 2.277491, 2.263338, 2.236686, 2.216785, 2.207386, 2.206837, 
    2.211688, 2.217539, 2.220238, 2.218287, 2.212837, 2.207286, 2.201735, 
    2.194733, 2.183531, 2.17003, 2.155829, 2.145529, 2.143878, 2.154029, 
    2.18763, 2.331434, 2.581039, 2.835046, 3.050902, 3.209907, 3.284209, 
    3.29531, 3.272109, 3.194558, 2.991604, 2.73805, 2.506895, 2.332642, 
    2.248493, 2.237044, 2.266196, 2.318947, 2.376248, 2.416048, 2.429945, 
    2.408791, 2.365486, 2.323281, 2.297177, 2.282024, 2.281623, 2.297774, 
    1.524817, 1.203137, 0.8461185, 1.191265, 1.561928, 0.1210242, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6528494, 1.313044, 2.531528, 2.684109, 
    2.703261, 2.718212, 2.728763, 2.734313, 2.735264, 2.735514, 2.735965, 
    2.735715, 2.733014, 2.728914, 2.725163, 2.722462, 2.690012, 2.561312, 
    2.37661, 2.195556, 2.044002, 1.910647, 1.79754, 1.718533, 1.670226, 
    1.678267, 1.810811, 1.988358, 2.171705, 2.369754, 2.591702, 2.771158, 
    2.898213, 3.001118, 3.091422, 3.176974, 3.250975, 3.305376, 1.647654, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.167497, 2.375594, 2.417647, 2.41115, 2.391252, 2.369253, 2.356803, 
    2.343654, 2.320756, 2.279657, 2.218708, 2.170407, 2.153004, 2.144702, 
    2.147501, 2.1524, 2.15525, 2.15635, 2.15695, 2.1573, 2.15825, 2.1592, 
    1.296129, 2.1605, 1.08025, 0.7555364, 2.051183, 2.15515, 2.14625, 
    2.125801, 2.089802, 2.041753, 1.988004, 1.922005, 1.837757, 1.765757, 
    1.667507, 1.525156, 1.297494, 0.4342661, 0.4564997, 0.8160478, 0.6300969, 
    0.4943019, 0.4452529, 0.4249009, 0.4162, 0.4127, 0.4115, 0.411, 0.41105, 
    0.4119496, 0.4152492, 0.4202991, 0.4320494, 0.4503487, 0.4887461, 
    0.5547934, 0.605413, 0.3674235, 0.2061235, 0.7027879, 1.105783, 1.229835, 
    1.321488, 1.40229, 1.489842, 1.569494, 1.632495, 1.686746, 1.734948, 
    1.773949, 1.80375, 1.828651, 1.851803, 1.871404, 1.887256, 1.903108, 
    1.922262, 1.945817, 1.972522, 2.002028, 2.033334, 2.062291, 2.089046, 
    2.115452, 2.137557, 2.144309, 2.137057, 2.120704, 2.097999, 2.074145, 
    2.05279, 2.031786, 2.008332, 1.989528, 1.980277, 1.977327, 1.980128, 
    1.98613, 1.995531, 2.004582, 2.009583, 2.007234,
  1.880039, 1.870589, 1.850089, 1.823289, 1.795039, 1.76294, 1.726742, 
    1.693795, 1.672048, 1.67305, 1.708752, 1.772153, 1.841053, 1.907153, 
    1.965053, 1.999552, 2.01405, 2.018399, 2.001549, 1.9677, 1.935052, 
    1.917104, 1.916456, 1.931106, 1.957806, 1.994306, 2.039755, 2.086654, 
    2.120553, 2.138001, 2.131748, 2.111895, 2.095294, 2.084994, 2.082344, 
    2.085245, 2.090045, 2.093795, 2.093794, 2.090294, 2.087043, 2.084841, 
    2.08334, 2.078887, 2.070785, 2.060933, 2.052582, 2.052531, 2.06253, 
    2.092831, 2.225236, 2.452895, 2.681305, 2.872614, 3.012972, 3.077676, 
    3.086077, 3.064726, 2.994623, 2.807866, 2.576056, 2.365247, 2.204041, 
    2.123038, 2.108039, 2.131541, 2.179942, 2.234094, 2.274045, 2.291945, 
    2.281642, 2.254237, 2.226532, 2.212478, 2.206675, 2.209674, 1.674654, 
    0.3407353, 0.1125222, 1.124772, 1.146015, 1.125906, 1.091795, 0.7477829, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3832849, 1.938063, 2.61321, 2.63536, 
    2.65391, 2.668512, 2.679263, 2.687214, 2.690215, 2.689266, 2.688316, 
    2.687967, 2.687067, 2.685017, 2.682966, 2.682115, 2.681915, 2.647265, 
    2.520564, 2.345261, 2.175407, 2.036253, 1.919147, 1.826891, 1.772732, 
    1.747224, 1.782615, 1.934209, 2.125503, 2.320448, 2.527993, 2.758439, 
    2.922243, 3.034697, 3.125451, 3.207102, 3.287703, 3.358704, 2.190848, 
    0.1678659, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.5866551, 2.035492, 2.421751, 2.406653, 2.381005, 2.356405, 
    2.343106, 2.326457, 2.298759, 2.25356, 2.192659, 2.150706, 2.140504, 
    2.139052, 2.145401, 2.1517, 2.1555, 2.15685, 2.15705, 2.15765, 2.15875, 
    1.404372, 0.2161993, 1.405323, 1.620876, 1.836775, 2.16025, 2.156, 2.146, 
    2.123751, 2.085701, 2.034652, 1.977753, 1.907554, 1.818156, 1.744956, 
    1.647006, 1.506356, 1.220004, 0, 0.4599979, 0.8286437, 0.6477413, 
    0.4951972, 0.3353227, 0.3629418, 0.4230953, 0.4204946, 0.4202439, 
    0.4206933, 0.4220425, 0.424242, 0.4274924, 0.4310936, 0.4427433, 
    0.4643418, 0.5092402, 0.5824883, 0.601538, 0.2540954, 0.6665743, 
    0.8839883, 1.152336, 1.270738, 1.354491, 1.428443, 1.509396, 1.583148, 
    1.641, 1.690801, 1.734503, 1.769404, 1.795256, 1.816557, 1.835708, 
    1.85036, 1.861511, 1.871613, 1.881065, 1.890919, 1.901024, 1.91183, 
    1.922887, 1.932294, 1.9413, 1.949956, 1.956761, 1.958762, 1.95631, 
    1.951057, 1.943501, 1.935246, 1.927791, 1.919637, 1.910082, 1.90123, 
    1.894779, 1.889381, 1.887082, 1.887435, 1.892036, 1.896638, 1.899589, 
    1.895939,
  1.772539, 1.76239, 1.740341, 1.71459, 1.68654, 1.65254, 1.612591, 1.573793, 
    1.546294, 1.542245, 1.573247, 1.632249, 1.698301, 1.762952, 1.820153, 
    1.855803, 1.873552, 1.880801, 1.864401, 1.828002, 1.790803, 1.767955, 
    1.762507, 1.773958, 1.800058, 1.835959, 1.88136, 1.92961, 1.96606, 
    1.988509, 1.989306, 1.976753, 1.964302, 1.955001, 1.951751, 1.953252, 
    1.958301, 1.963001, 1.963901, 1.9621, 1.96055, 1.961798, 1.965946, 
    1.968693, 1.967291, 1.963438, 1.961035, 1.965932, 1.978531, 2.007231, 
    2.123838, 2.321151, 2.517815, 2.680176, 2.796237, 2.848492, 2.854342, 
    2.835691, 2.776786, 2.617623, 2.419808, 2.240194, 2.101333, 2.030628, 
    2.015778, 2.034529, 2.076432, 2.124535, 2.160288, 2.176789, 2.170639, 
    2.154536, 2.139532, 2.134679, 2.138375, 1.828617, 0.5451691, 0, 1.09598, 
    2.216727, 1.646348, 1.847622, 2.144431, 1.766642, 0.4996153, 0, 0, 0, 0, 
    0, 0, 0.3233011, 1.099653, 0.3364909, 0, 0.7633529, 2.55751, 2.584861, 
    2.606711, 2.622863, 2.633514, 2.640665, 2.645267, 2.645767, 2.642768, 
    2.639769, 2.63797, 2.63607, 2.63502, 2.635019, 2.636968, 2.638517, 
    2.605515, 2.485011, 2.320307, 2.161752, 2.034748, 1.932593, 1.860085, 
    1.828927, 1.826218, 1.883711, 2.051856, 2.259399, 2.471192, 2.696284, 
    2.943926, 3.098328, 3.201431, 3.284933, 3.363883, 3.44628, 2.609378, 
    0.5181984, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2825325, 0.4708874, 0, 0, 0, 0, 1.686998, 2.4212, 2.398803, 2.368254, 
    2.342255, 2.327905, 2.307407, 2.275508, 2.228209, 2.170357, 2.134855, 
    2.131003, 2.135551, 2.1448, 2.152, 2.1565, 2.1575, 2.15755, 2.15815, 
    2.15925, 0.6480001, 0, 0.3245495, 1.622166, 2.1625, 2.1613, 2.157, 
    2.1465, 2.12305, 2.08365, 2.030701, 1.971252, 1.897803, 1.805104, 
    1.733702, 1.63825, 1.499049, 1.216098, 0, 0.470744, 0.8511897, 0.6394661, 
    0.249792, 0.1150885, 0.1513163, 0.2383476, 0.4465859, 0.4487348, 
    0.4515837, 0.4549331, 0.4578831, 0.459234, 0.4581363, 0.4689373, 
    0.4929372, 0.5404869, 0.6167367, 0.6350375, 0.2666954, 0.9409846, 
    1.064036, 1.18559, 1.297292, 1.373495, 1.440248, 1.513951, 1.581154, 
    1.633256, 1.678008, 1.71746, 1.748012, 1.770263, 1.788314, 1.803765, 
    1.815266, 1.823517, 1.830018, 1.834968, 1.838469, 1.84027, 1.84172, 
    1.84292, 1.84302, 1.84302, 1.84302, 1.84302, 1.84302, 1.84302, 1.84302, 
    1.84302, 1.84302, 1.84252, 1.84062, 1.83732, 1.831521, 1.825271, 
    1.817621, 1.809973, 1.803276, 1.801529, 1.800482, 1.798734, 1.792037,
  1.677038, 1.665488, 1.641489, 1.615739, 1.588539, 1.554689, 1.513938, 
    1.472988, 1.444288, 1.43694, 1.462243, 1.515245, 1.575548, 1.635851, 
    1.690302, 1.725602, 1.744302, 1.752153, 1.736802, 1.700201, 1.661301, 
    1.635002, 1.625454, 1.633005, 1.656807, 1.689708, 1.731911, 1.777812, 
    1.814312, 1.840311, 1.847359, 1.841756, 1.834053, 1.826703, 1.822753, 
    1.822954, 1.827055, 1.831156, 1.831456, 1.829907, 1.829806, 1.834255, 
    1.844052, 1.854149, 1.860546, 1.864492, 1.870039, 1.882435, 1.900283, 
    1.928633, 2.023993, 2.185158, 2.347073, 2.479586, 2.572944, 2.614547, 
    2.620347, 2.605495, 2.561438, 2.43992, 2.284301, 2.143034, 2.034819, 
    1.979562, 1.969509, 1.98431, 2.017964, 2.058067, 2.08752, 2.101571, 
    2.095921, 2.08467, 2.07527, 2.07392, 1.983354, 0.7412281, 0, 0.7469659, 
    2.054826, 2.157571, 2.141024, 2.113626, 2.072277, 2.005127, 1.454864, 
    0.9196693, 0.1785984, 0.6130296, 0, 0.6665342, 0.9853136, 1.356947, 
    2.187761, 1.472721, 1.18994, 1.615573, 2.53251, 2.558661, 2.578512, 
    2.590613, 2.598265, 2.602416, 2.604217, 2.601818, 2.596519, 2.59122, 
    2.587171, 2.585371, 2.58577, 2.587919, 2.591519, 2.594818, 2.567516, 
    2.45796, 2.304306, 2.157101, 2.041996, 1.953491, 1.899683, 1.889674, 
    1.908216, 1.98136, 2.163105, 2.388047, 2.620188, 2.869476, 3.144662, 
    3.313397, 3.413896, 3.498643, 3.585336, 3.099621, 0.89676, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.07753418, 1.080663, 
    1.356149, 0.9667794, 1.04851, 1.110407, 1.164012, 2.049244, 2.424997, 
    2.394601, 2.360502, 2.334102, 2.318752, 2.294703, 2.258755, 2.210905, 
    2.155554, 2.125202, 2.12675, 2.135299, 2.145799, 2.153499, 2.157749, 
    2.158499, 2.158499, 2.1588, 1.620208, 0.3242748, 0, 0, 1.082, 2.16365, 
    2.162749, 2.158349, 2.14725, 2.12355, 2.084149, 2.031199, 1.970749, 
    1.896648, 1.804946, 1.738844, 1.646243, 1.504646, 1.2186, 0, 0.4799987, 
    0.8644501, 0.6155525, 0, 0, 0, 0.02321968, 0.3135785, 0.5052189, 
    0.5097686, 0.513369, 0.5148203, 0.5109737, 0.5036265, 0.5105287, 
    0.5326304, 0.578732, 0.6528341, 0.4028608, 0.4333636, 0.741936, 1.095839, 
    1.206844, 1.309997, 1.378501, 1.437204, 1.502958, 1.562661, 1.608764, 
    1.647866, 1.682519, 1.70927, 1.728521, 1.743922, 1.756873, 1.766823, 
    1.773524, 1.778474, 1.782374, 1.784325, 1.785525, 1.786375, 1.787425, 
    1.787525, 1.787525, 1.787525, 1.787525, 1.787525, 1.787525, 1.787525, 
    1.787525, 1.787525, 1.787025, 1.784775, 1.780825, 1.774526, 1.767776, 
    1.759276, 1.748427, 1.736478, 1.72778, 1.720483, 1.712285, 1.700287,
  1.593036, 1.581486, 1.557486, 1.531435, 1.504035, 1.471735, 1.432284, 
    1.391284, 1.362534, 1.351286, 1.369739, 1.415293, 1.468047, 1.5222, 
    1.572902, 1.606903, 1.626302, 1.634502, 1.62225, 1.588647, 1.550797, 
    1.522747, 1.509449, 1.51325, 1.533802, 1.563103, 1.600905, 1.642707, 
    1.677809, 1.705908, 1.718955, 1.720901, 1.718299, 1.712898, 1.707199, 
    1.704051, 1.704304, 1.704207, 1.701059, 1.697911, 1.69831, 1.70501, 
    1.719308, 1.737105, 1.752051, 1.765246, 1.780041, 1.801237, 1.825784, 
    1.856281, 1.929791, 2.054957, 2.183821, 2.289582, 2.36559, 2.401341, 
    2.40959, 2.400337, 2.370531, 2.289663, 2.178542, 2.075825, 1.998412, 
    1.960155, 1.955753, 1.968853, 1.996505, 2.030407, 2.055258, 2.068208, 
    2.064507, 2.056754, 2.049502, 2.049601, 1.033418, 0, 0, 0.7482933, 
    2.024908, 2.119063, 2.096515, 2.064867, 2.020918, 1.953268, 1.892017, 
    1.826214, 1.056551, 1.494152, 0.9069081, 1.607446, 1.967804, 2.062555, 
    2.167506, 2.265108, 2.372709, 2.460611, 2.505014, 2.528766, 2.545568, 
    2.555168, 2.560519, 2.56237, 2.562171, 2.557521, 2.551271, 2.545021, 
    2.540271, 2.53917, 2.54052, 2.54362, 2.548069, 2.552319, 2.531266, 
    2.43461, 2.292355, 2.156949, 2.053244, 1.977888, 1.940881, 1.950172, 
    1.987214, 2.07221, 2.265455, 2.508147, 2.763186, 3.041671, 3.354252, 
    3.562132, 3.668377, 3.765519, 3.669096, 1.331934, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1502546, 1.543799, 1.71705, 
    1.904978, 2.097501, 2.230842, 2.343238, 2.423787, 2.43924, 2.400394, 
    2.362996, 2.335397, 2.317698, 2.29045, 2.252001, 2.203401, 2.15015, 
    2.123749, 2.128998, 2.139147, 2.149747, 2.156698, 2.159749, 2.159649, 
    2.1591, 2.15965, 1.08, 0, 0, 0, 1.08275, 2.164799, 2.1642, 2.159699, 
    2.148249, 2.124899, 2.086649, 2.035447, 1.977246, 1.905744, 1.818092, 
    1.75724, 1.663741, 1.514945, 1.223845, 0, 0.4844972, 0.5786651, 
    0.3065841, 0, 0, 0, 0, 0.1766864, 0.5912043, 0.5948554, 0.5956076, 
    0.5908619, 0.579715, 0.5661178, 0.5676202, 0.5857221, 0.6277242, 
    0.4375672, 0.3980235, 0.2974256, 0.526746, 1.114395, 1.212652, 1.305757, 
    1.36676, 1.420411, 1.478564, 1.531167, 1.571769, 1.605371, 1.635124, 
    1.658525, 1.675276, 1.688527, 1.699928, 1.709028, 1.714779, 1.718779, 
    1.72188, 1.72318, 1.72403, 1.72453, 1.724981, 1.725031, 1.725031, 
    1.725031, 1.725031, 1.725031, 1.725031, 1.725031, 1.725031, 1.725031, 
    1.724531, 1.72228, 1.717931, 1.71188, 1.704531, 1.695431, 1.683931, 
    1.670581, 1.657782, 1.645683, 1.632835, 1.617336,
  1.523031, 1.512181, 1.48948, 1.464579, 1.437529, 1.405929, 1.367279, 
    1.326778, 1.297279, 1.28283, 1.294184, 1.331338, 1.376541, 1.423495, 
    1.469048, 1.5009, 1.52055, 1.530049, 1.521847, 1.493694, 1.458792, 
    1.430891, 1.415042, 1.416643, 1.434544, 1.460495, 1.493798, 1.530301, 
    1.562552, 1.590953, 1.6095, 1.618248, 1.620046, 1.616595, 1.609095, 
    1.601547, 1.595551, 1.588854, 1.580707, 1.575258, 1.575308, 1.582358, 
    1.599457, 1.622906, 1.646302, 1.670046, 1.696789, 1.727035, 1.758281, 
    1.793379, 1.849687, 1.9443, 2.045063, 2.130071, 2.193676, 2.226777, 
    2.238075, 2.235022, 2.216717, 2.172899, 2.101782, 2.033116, 1.980255, 
    1.956099, 1.957745, 1.972343, 1.997444, 2.027796, 2.050746, 2.062147, 
    2.060197, 2.057744, 1.540011, 1.025432, 0.1026032, 0, 0, 0, 1.90785, 
    2.1048, 2.0795, 2.0465, 2.002648, 1.938145, 1.879744, 1.819242, 1.771735, 
    1.777384, 1.829486, 1.892788, 1.972341, 2.063693, 2.162997, 2.254952, 
    2.356957, 2.436811, 2.475264, 2.495166, 2.509617, 2.517868, 2.521768, 
    2.521819, 2.51932, 2.51417, 2.50852, 2.50287, 2.499169, 2.498319, 
    2.500269, 2.503619, 2.508519, 2.512819, 2.494769, 2.408465, 2.278858, 
    2.155802, 2.063496, 2.000241, 1.977934, 2.002927, 2.054971, 2.151464, 
    2.35396, 2.612603, 2.89169, 3.204022, 3.5593, 3.811827, 3.931868, 
    4.052253, 3.770547, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.07272318, 0.7461509, 0.8325879, 0.9382942, 2.00669, 
    2.252836, 2.375231, 2.458779, 2.468132, 2.421185, 2.379738, 2.34844, 
    2.326693, 2.295844, 2.255246, 2.205896, 2.154145, 2.129845, 2.136495, 
    2.146645, 2.156247, 2.161747, 2.163248, 2.161599, 2.1597, 1.836326, 
    0.540544, 0, 0, 0, 1.08325, 2.166149, 2.165249, 2.16085, 2.150249, 
    2.127748, 2.090797, 2.043145, 1.989492, 1.92184, 1.838388, 1.783535, 
    1.690483, 1.541079, 1.24923, 0, 0.2439955, 0.1463973, 0, 0, 0, 0, 0, 
    0.207284, 0.6931969, 0.6943982, 0.6888022, 0.6754562, 0.6624547, 
    0.6463042, 0.6422571, 0.6558596, 0.6919633, 0.2135894, 0.3215235, 0.1488, 
    0.7819969, 1.121898, 1.206354, 1.287861, 1.342514, 1.394015, 1.445718, 
    1.492321, 1.528023, 1.557775, 1.583626, 1.603578, 1.618529, 1.62998, 
    1.63993, 1.647881, 1.652781, 1.656281, 1.658432, 1.659032, 1.659282, 
    1.659183, 1.658983, 1.658534, 1.658284, 1.657685, 1.657485, 1.657035, 
    1.656785, 1.656536, 1.656086, 1.656036, 1.655536, 1.653636, 1.649486, 
    1.643886, 1.636785, 1.627935, 1.616934, 1.604084, 1.590533, 1.576633, 
    1.561983, 1.546332,
  1.466528, 1.456727, 1.436326, 1.412375, 1.386025, 1.354425, 1.316324, 
    1.276774, 1.247273, 1.231074, 1.236077, 1.264881, 1.302536, 1.34194, 
    1.381243, 1.409945, 1.428297, 1.437897, 1.433095, 1.411841, 1.382288, 
    1.356936, 1.342034, 1.343683, 1.359784, 1.382885, 1.411188, 1.441442, 
    1.469295, 1.496096, 1.517496, 1.529994, 1.534294, 1.531244, 1.523444, 
    1.513645, 1.503795, 1.492895, 1.481297, 1.474097, 1.473798, 1.480847, 
    1.499447, 1.525446, 1.554294, 1.585592, 1.62159, 1.659186, 1.696533, 
    1.736331, 1.786729, 1.860937, 1.940796, 2.012251, 2.070052, 2.104001, 
    2.118799, 2.120996, 2.111692, 2.090886, 2.051021, 2.009409, 1.97535, 
    1.963343, 1.972739, 1.992286, 2.018833, 2.048932, 2.071981, 2.081732, 
    1.976295, 1.032772, 0.5165613, 0, 0, 0, 0, 0, 1.914493, 2.111442, 
    2.087241, 2.057089, 2.015837, 1.955686, 1.900984, 1.846978, 1.809525, 
    1.816624, 1.864477, 1.921431, 1.994036, 2.07989, 2.169995, 2.250653, 
    2.341959, 2.412464, 2.446016, 2.462768, 2.475169, 2.48207, 2.48477, 
    2.483621, 2.48042, 2.47582, 2.470769, 2.466069, 2.463169, 2.462968, 
    2.465268, 2.468618, 2.473518, 2.477818, 2.459518, 2.380664, 2.263857, 
    2.15315, 2.072494, 2.019839, 2.008934, 2.045179, 2.106226, 2.213471, 
    2.422968, 2.694712, 2.997949, 3.34528, 3.744407, 4.04448, 4.186866, 
    4.342543, 4.073785, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.4738839, 0, 0, 0, 0.9595428, 1.491195, 2.413978, 
    2.501826, 2.506028, 2.451183, 2.404736, 2.368089, 2.341292, 2.307094, 
    2.264245, 2.214745, 2.164593, 2.141492, 2.148243, 2.157094, 2.164794, 
    2.168646, 2.167747, 2.164049, 2.160749, 1.51235, 0, 0, 0, 0, 1.08375, 
    2.1675, 2.166299, 2.161999, 2.152499, 2.131448, 2.096946, 2.053843, 
    2.005491, 1.942788, 1.864434, 1.814333, 1.72623, 1.585974, 1.294722, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.2405811, 0.8034375, 0.8010899, 0.7872944, 
    0.766798, 0.756197, 0.7448922, 0.7368934, 0.7447469, 0.5649281, 
    0.1121719, 0.4094541, 0.6365811, 1.042241, 1.12485, 1.195008, 1.265363, 
    1.314516, 1.362269, 1.408271, 1.449275, 1.481026, 1.508227, 1.531628, 
    1.549129, 1.56203, 1.572131, 1.580932, 1.587882, 1.592532, 1.595782, 
    1.597432, 1.597532, 1.597282, 1.596333, 1.595483, 1.594383, 1.593534, 
    1.592334, 1.591035, 1.589885, 1.589035, 1.588186, 1.587585, 1.587535, 
    1.587035, 1.585135, 1.581435, 1.576185, 1.570035, 1.562134, 1.551984, 
    1.540533, 1.528282, 1.514981, 1.50103, 1.48693,
  1.419525, 1.411124, 1.392773, 1.370172, 1.344771, 1.313771, 1.27687, 
    1.239069, 1.210268, 1.192669, 1.192372, 1.212627, 1.241782, 1.273737, 
    1.305492, 1.329545, 1.345297, 1.354747, 1.353394, 1.33979, 1.318034, 
    1.29838, 1.287877, 1.291825, 1.307525, 1.327776, 1.350979, 1.373784, 
    1.395538, 1.418341, 1.438643, 1.451993, 1.456544, 1.453044, 1.445394, 
    1.435493, 1.425044, 1.413893, 1.400844, 1.392295, 1.391545, 1.398845, 
    1.418544, 1.447042, 1.478791, 1.513688, 1.554186, 1.597683, 1.64078, 
    1.685976, 1.739724, 1.804476, 1.87303, 1.938082, 1.994881, 2.032879, 
    2.051276, 2.058124, 2.054721, 2.043667, 2.024258, 2.000301, 1.978346, 
    1.976492, 1.992738, 2.018784, 2.049682, 2.081581, 2.104732, 1.369253, 
    0.9456543, 0, 0, 0, 0, 0, 0, 0, 1.924296, 2.121297, 2.097747, 2.071046, 
    2.033443, 1.978488, 1.932231, 1.887726, 1.857271, 1.867118, 1.913218, 
    1.96387, 2.027076, 2.102585, 2.178745, 2.245453, 2.32516, 2.387764, 
    2.417266, 2.431368, 2.441719, 2.447269, 2.44902, 2.447969, 2.445469, 
    2.441969, 2.438018, 2.434417, 2.432166, 2.432616, 2.435016, 2.438116, 
    2.442966, 2.446817, 2.428517, 2.357013, 2.252406, 2.153699, 2.082994, 
    2.03854, 2.033938, 2.075438, 2.139487, 2.252535, 2.465634, 2.748878, 
    3.074466, 3.453598, 3.894325, 4.228364, 4.399396, 4.595973, 4.343462, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2299808, 
    0.4938719, 0.5257952, 0, 0, 0, 0, 0.3574174, 1.218423, 1.263325, 
    2.404243, 2.469996, 2.419498, 2.379848, 2.349449, 2.313449, 2.270498, 
    2.222996, 2.176143, 2.155692, 2.161243, 2.168543, 2.174295, 2.175896, 
    2.171998, 2.165999, 2.161799, 1.51305, 0, 0, 0, 0, 1.08425, 2.16815, 
    2.16725, 2.163149, 2.154499, 2.134998, 2.103946, 2.064894, 2.021491, 
    1.964788, 1.892584, 1.844633, 1.76223, 1.632924, 1.342474, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.2780765, 0.9261737, 0.9201753, 0.9001777, 0.8720828, 
    0.8614339, 0.858829, 0.8488799, 0.8496844, 0.427469, 0, 0.8473676, 
    0.9975747, 1.063236, 1.128546, 1.184055, 1.243462, 1.287515, 1.329818, 
    1.37127, 1.408172, 1.437773, 1.463872, 1.486622, 1.503322, 1.515272, 
    1.524422, 1.532373, 1.538373, 1.542774, 1.545075, 1.545926, 1.545376, 
    1.544527, 1.542628, 1.540479, 1.53793, 1.535781, 1.533632, 1.531083, 
    1.529083, 1.527284, 1.525834, 1.525535, 1.525535, 1.525035, 1.523134, 
    1.519884, 1.514834, 1.509533, 1.502833, 1.493532, 1.483481, 1.472781, 
    1.46103, 1.448579, 1.436527,
  1.379523, 1.372872, 1.35682, 1.336469, 1.312767, 1.284165, 1.249413, 
    1.213712, 1.185012, 1.166113, 1.160616, 1.171872, 1.192028, 1.215333, 
    1.238289, 1.256992, 1.269544, 1.278945, 1.281592, 1.275688, 1.263531, 
    1.252076, 1.247721, 1.255119, 1.27077, 1.288171, 1.305825, 1.320979, 
    1.335534, 1.352188, 1.36969, 1.381991, 1.386541, 1.38339, 1.37639, 
    1.367139, 1.357288, 1.346388, 1.332788, 1.322839, 1.32079, 1.32819, 
    1.349139, 1.380288, 1.415036, 1.453284, 1.494336, 1.538988, 1.58379, 
    1.631041, 1.688838, 1.752637, 1.817038, 1.880388, 1.939436, 1.986627, 
    2.013519, 2.028861, 2.034353, 2.0294, 2.020745, 2.00754, 1.993784, 
    1.998381, 2.018231, 1.323588, 1.033842, 1.050112, 1.061577, 0.3195994, 0, 
    0, 0, 0, 0.1088137, 1.086789, 1.080646, 1.074504, 2.033767, 2.122802, 
    2.1, 2.075799, 2.042646, 1.995691, 1.961234, 1.927826, 1.906969, 
    1.921166, 1.963722, 2.008376, 2.062931, 2.125887, 2.186246, 2.240303, 
    2.30886, 2.363565, 2.389018, 2.40012, 2.407823, 2.411973, 2.413024, 
    2.412673, 2.410573, 2.408272, 2.405522, 2.403121, 2.40167, 2.40277, 
    2.405769, 2.409119, 2.414368, 2.417968, 2.399768, 2.334315, 2.241757, 
    2.153301, 2.089498, 2.049147, 2.045798, 2.08615, 2.149251, 2.264501, 
    2.478351, 2.770497, 3.114737, 3.521621, 3.999299, 4.353136, 4.554168, 
    4.787047, 4.827242, 1.91595, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.124494, 0.6609988, 0.9742184, 0.1003019, 0, 0, 0, 0, 0, 0, 
    0, 1.265624, 2.461715, 2.410264, 2.371413, 2.341511, 2.30641, 2.266257, 
    2.224003, 2.184946, 2.168892, 2.173243, 2.178994, 2.182695, 2.181297, 
    2.175248, 2.167449, 2.054785, 0.7576467, 0, 0, 0, 0, 0.5429284, 1.085506, 
    2.059935, 2.164649, 2.156249, 2.138747, 2.110496, 2.075094, 2.03674, 
    1.986137, 1.920832, 1.596729, 0.8908632, 0.8288357, 0.6833039, 0, 0, 0, 
    0, 0, 0, 0, 0.05443181, 0.6943538, 1.043435, 1.038582, 1.019079, 
    0.9885761, 0.9769262, 0.982771, 0.9747675, 0.9674729, 0.4832134, 0, 
    0.9073096, 1.044119, 1.090481, 1.137543, 1.177154, 1.224911, 1.264264, 
    1.302215, 1.340467, 1.376666, 1.406515, 1.433913, 1.458561, 1.47661, 
    1.489509, 1.498209, 1.505309, 1.51006, 1.513261, 1.514362, 1.513463, 
    1.511264, 1.508267, 1.504218, 1.499421, 1.493823, 1.489025, 1.484577, 
    1.480129, 1.47663, 1.473281, 1.470982, 1.470033, 1.469533, 1.469033, 
    1.467483, 1.464882, 1.460482, 1.455782, 1.449681, 1.44193, 1.43278, 
    1.423529, 1.413578, 1.403126, 1.393625,
  1.346519, 1.341618, 1.328367, 1.311214, 1.290761, 1.266108, 1.234406, 
    1.200855, 1.172254, 1.151356, 1.141259, 1.143614, 1.154271, 1.167378, 
    1.181035, 1.194089, 1.20379, 1.21279, 1.218339, 1.219734, 1.217278, 
    1.214473, 1.217068, 1.227966, 1.242517, 1.256719, 1.268323, 1.276678, 
    1.284282, 1.295035, 1.309238, 1.319989, 1.325039, 1.323787, 1.318435, 
    1.311083, 1.302533, 1.291882, 1.277683, 1.265585, 1.260787, 1.26614, 
    1.285693, 1.316295, 1.350797, 1.3881, 1.425403, 1.466107, 1.508059, 
    1.553859, 1.61366, 1.683204, 1.751047, 1.818891, 1.887431, 1.94992, 
    1.989512, 2.017554, 2.037493, 2.042083, 2.038232, 2.030181, 2.022478, 
    1.721689, 1.018106, 0.307009, 0, 0, 0, 0, 0, 0, 0, 0, 1.08639, 2.172655, 
    2.161004, 2.150402, 2.1404, 2.122898, 2.101997, 2.078997, 2.048247, 
    2.01059, 1.986234, 1.965026, 1.954719, 1.972817, 2.00897, 2.047224, 
    2.092981, 2.145138, 2.192246, 2.236202, 2.291662, 2.33642, 2.356274, 
    2.364226, 2.369377, 2.371829, 2.372778, 2.372679, 2.371527, 2.370077, 
    2.368276, 2.366826, 2.366675, 2.368924, 2.373023, 2.377822, 2.383971, 
    2.389269, 2.371519, 2.311065, 2.228211, 2.148155, 2.088254, 2.048654, 
    2.043106, 2.07846, 2.137264, 2.252065, 2.464867, 2.762364, 3.121505, 
    3.551342, 4.060223, 4.440002, 4.665689, 4.927772, 5.26805, 3.897868, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.242559, 
    0.8322897, 0.9075194, 0.0929578, 0, 0, 0, 0, 0, 0, 0, 0.1233644, 
    1.226734, 1.784571, 2.341376, 2.316471, 2.285817, 2.250513, 2.216956, 
    2.189299, 2.180892, 2.184992, 2.189093, 2.189696, 2.185198, 2.177499, 
    2.169099, 1.947499, 0, 0, 0, 0, 0, 0, 0, 1.085507, 2.166149, 2.157999, 
    2.142148, 2.116496, 2.084295, 2.050742, 2.005638, 1.946635, 1.341889, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.570933, 1.124955, 1.132201, 1.136642, 
    1.126033, 1.102077, 1.091176, 1.103373, 1.097824, 1.085325, 0.540213, 0, 
    0.9710582, 1.092219, 1.117734, 1.147095, 1.170255, 1.20921, 1.245011, 
    1.281511, 1.31961, 1.357908, 1.391005, 1.422001, 1.451447, 1.473194, 
    1.487743, 1.496343, 1.502344, 1.506094, 1.507746, 1.507297, 1.504448, 
    1.50015, 1.494251, 1.487303, 1.478456, 1.469059, 1.461011, 1.453663, 
    1.446614, 1.440666, 1.435517, 1.431769, 1.429519, 1.42787, 1.426771, 
    1.424972, 1.421923, 1.417324, 1.412025, 1.405675, 1.398426, 1.389925, 
    1.381525, 1.372775, 1.364573, 1.357222,
  1.320516, 1.317015, 1.307412, 1.294908, 1.279005, 1.258901, 1.231248, 
    1.199647, 1.171247, 1.148098, 1.133501, 1.127857, 1.128764, 1.13177, 
    1.136227, 1.143331, 1.151032, 1.159782, 1.167481, 1.173878, 1.178275, 
    1.182671, 1.190868, 1.203818, 1.216769, 1.226922, 1.233275, 1.235829, 
    1.238282, 1.244934, 1.256435, 1.267134, 1.273782, 1.27518, 1.272927, 
    1.268375, 1.260525, 1.249875, 1.234077, 1.21868, 1.209783, 1.210337, 
    1.22524, 1.251744, 1.281798, 1.313952, 1.345906, 1.381709, 1.420562, 
    1.464663, 1.523664, 1.598513, 1.675057, 1.755796, 1.841332, 1.919572, 
    1.971763, 2.013452, 2.050539, 2.071476, 2.073969, 2.066319, 1.124947, 
    0.7157133, 0, 0, 0, 0.3262368, 1.085958, 1.080616, 0.1078968, 0, 0, 0, 
    1.088383, 2.1688, 2.158749, 2.150448, 2.142946, 2.128344, 2.107994, 
    2.084845, 2.054944, 2.025689, 2.010733, 2.001723, 1.091059, 1.000116, 
    1.01719, 1.779408, 2.131366, 2.171675, 2.205984, 2.237845, 2.277457, 
    2.309517, 2.321274, 2.32358, 2.325483, 2.326833, 2.328033, 2.328183, 
    2.327982, 2.327382, 2.326531, 2.32568, 2.32713, 2.330729, 2.336028, 
    2.342726, 2.351024, 2.358573, 2.34327, 2.288765, 2.212711, 2.138408, 
    2.080507, 2.039759, 2.029363, 2.05682, 2.109524, 2.21928, 2.429332, 
    2.731279, 3.102022, 3.548363, 4.079252, 4.484438, 4.726978, 5.009068, 
    5.372857, 3.982617, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.03714726, 0.4895398, 0.7732915, 0.5397481, 0.04361174, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.5850783, 1.162446, 2.16634, 2.257272, 2.230514, 2.207956, 
    2.192647, 2.192542, 2.196492, 2.198694, 2.196245, 2.189247, 2.179998, 
    2.170749, 1.948449, 0, 0, 0, 0, 0, 0, 0, 0.1085537, 1.409226, 2.159999, 
    2.145347, 2.122446, 2.093343, 2.06424, 2.024286, 1.971331, 1.360785, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.4218511, 1.068152, 0.5800712, 0.8996324, 
    1.221292, 1.21794, 1.204432, 1.196429, 1.209431, 1.200835, 1.183491, 
    0.8880456, 0.1801942, 1.025867, 1.134373, 1.13724, 1.150251, 1.162156, 
    1.195609, 1.230758, 1.268706, 1.310153, 1.353248, 1.391994, 1.429338, 
    1.465932, 1.493777, 1.510226, 1.518626, 1.523826, 1.526627, 1.526728, 
    1.524729, 1.51988, 1.513182, 1.504984, 1.495036, 1.481989, 1.468641, 
    1.457244, 1.446896, 1.437098, 1.4287, 1.421751, 1.416202, 1.412004, 
    1.408406, 1.405757, 1.402059, 1.396462, 1.389714, 1.382516, 1.374617, 
    1.365968, 1.35692, 1.34827, 1.33997, 1.33307, 1.327169,
  1.303009, 1.301257, 1.295855, 1.287452, 1.27575, 1.259497, 1.236095, 
    1.206792, 1.178243, 1.152845, 1.133349, 1.120553, 1.113508, 1.108214, 
    1.105318, 1.107221, 1.113273, 1.121773, 1.131472, 1.14062, 1.148768, 
    1.157266, 1.168515, 1.180367, 1.19027, 1.195274, 1.196778, 1.194931, 
    1.194283, 1.199583, 1.211581, 1.225028, 1.235774, 1.241619, 1.244164, 
    1.241663, 1.234513, 1.222464, 1.202968, 1.182473, 1.168277, 1.163182, 
    1.172237, 1.193191, 1.218045, 1.2443, 1.270454, 1.301458, 1.337559, 
    1.379611, 1.437411, 1.51426, 1.598804, 1.695941, 1.797681, 1.889872, 
    1.955511, 2.01205, 2.067636, 2.106523, 1.582772, 1.045719, 0.1044066, 0, 
    0, 0, 0.1091358, 1.417351, 2.172254, 2.156362, 1.17316, 1.065447, 
    0.5339466, 0, 1.083996, 2.171196, 2.164243, 2.15869, 2.153937, 2.141636, 
    2.121236, 2.096638, 2.066239, 2.040389, 2.032735, 2.034878, 0.2035477, 0, 
    0.5381902, 1.830339, 2.175569, 2.204177, 2.225737, 2.243447, 2.266459, 
    2.283121, 2.285528, 2.279185, 2.277138, 2.277838, 2.279038, 2.279888, 
    2.280487, 2.280537, 2.280286, 2.280385, 2.282685, 2.287684, 2.294533, 
    2.303131, 2.31398, 2.323229, 2.311277, 2.263272, 2.193568, 2.123364, 
    2.066514, 2.023316, 2.00662, 2.024877, 2.071032, 2.173887, 2.380289, 
    2.686237, 3.065282, 3.520977, 4.062523, 4.485561, 4.740753, 5.033398, 
    5.405746, 4.0061, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.3720022, 0.7444993, 0.7444993, 0.2233498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.127661, 2.225224, 2.214759, 2.20325, 2.199144, 2.203692, 
    2.207492, 2.207793, 2.203245, 2.194296, 2.182998, 2.172399, 1.949399, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.3252379, 1.621062, 2.148897, 2.128945, 2.103542, 
    2.079987, 2.046631, 2.001525, 1.38458, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.8781001, 1.146583, 0, 0.3152229, 1.10958, 1.311423, 1.30582, 1.302915, 
    1.311569, 1.29323, 1.264441, 1.2422, 0.8017866, 1.128381, 1.16638, 
    1.148494, 1.144608, 1.150062, 1.179415, 1.216762, 1.259008, 1.306802, 
    1.358194, 1.405486, 1.452777, 1.499468, 1.53646, 1.556207, 1.565106, 
    1.569756, 1.571307, 1.570208, 1.56666, 1.559811, 1.550563, 1.539965, 
    1.526917, 1.510369, 1.492723, 1.477726, 1.464478, 1.45168, 1.441082, 
    1.431983, 1.424285, 1.417487, 1.411289, 1.406241, 1.399444, 1.389947, 
    1.379301, 1.368754, 1.358206, 1.347009, 1.33611, 1.326511, 1.317612, 
    1.311112, 1.306611,
  1.296501, 1.29615, 1.293349, 1.287547, 1.278496, 1.264894, 1.244093, 
    1.216942, 1.188242, 1.160593, 1.136846, 1.119199, 1.106752, 1.095705, 
    1.088308, 1.08676, 1.091261, 1.099961, 1.111059, 1.122558, 1.132507, 
    1.142107, 1.152859, 1.161662, 1.166517, 1.165771, 1.161925, 1.156977, 
    1.155527, 1.162475, 1.178121, 1.196366, 1.212512, 1.224458, 1.232903, 
    1.2328, 1.225501, 1.210154, 1.185359, 1.158314, 1.13752, 1.125826, 
    1.127832, 1.142986, 1.16254, 1.183144, 1.203998, 1.230851, 1.264304, 
    1.304056, 1.360557, 1.438357, 1.530552, 1.640594, 1.753786, 1.858527, 
    1.937517, 2.009155, 2.084389, 1.81679, 0.534848, 0, 0, 0, 0, 0, 
    0.2185002, 2.181404, 2.162761, 2.138865, 2.123166, 2.125214, 1.065756, 0, 
    1.087428, 2.17989, 2.177486, 2.175784, 2.173383, 2.162282, 2.141483, 
    2.113686, 1.976953, 1.025476, 1.537304, 2.059284, 1.150746, 1.068351, 
    1.629373, 2.190768, 2.212923, 2.23183, 2.241739, 2.247447, 2.255308, 
    2.255322, 2.246033, 2.231139, 2.225243, 2.224694, 2.225794, 2.227244, 
    2.228493, 2.229043, 2.229043, 2.229743, 2.232742, 2.238991, 2.24754, 
    2.258538, 2.271935, 2.282884, 2.273781, 2.231777, 2.168472, 2.102968, 
    2.047765, 2.003066, 1.980071, 1.990426, 2.030031, 2.127735, 2.332035, 
    2.640284, 3.022784, 3.480535, 4.023088, 4.457333, 4.719781, 5.01653, 
    5.103285, 2.006231, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.673645, 0.7484944, 0.560793, 0.1119275, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.2187032, 2.192875, 2.207003, 2.207143, 2.208392, 2.214342, 
    2.21899, 2.218391, 2.211293, 2.200195, 2.186497, 2.174548, 1.950399, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.5406072, 1.077008, 2.028565, 2.11504, 2.098484, 
    2.074226, 1.114837, 0.70006, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4564237, 
    1.232135, 0.4997051, 0, 0.9893972, 1.411523, 1.40982, 1.40992, 1.413174, 
    1.383181, 1.34144, 1.307449, 1.269609, 1.227069, 1.191581, 1.157492, 
    1.137054, 1.133863, 1.15717, 1.197518, 1.245213, 1.302005, 1.365195, 
    1.424983, 1.485821, 1.546908, 1.596696, 1.62269, 1.633987, 1.639236, 
    1.640485, 1.637936, 1.632937, 1.624239, 1.612441, 1.599193, 1.583145, 
    1.562849, 1.541152, 1.522455, 1.506207, 1.491109, 1.477961, 1.466463, 
    1.456015, 1.446018, 1.437021, 1.428474, 1.417827, 1.403831, 1.387586, 
    1.37224, 1.357594, 1.343047, 1.3295, 1.318251, 1.308402, 1.301652, 
    1.297902,
  1.300992, 1.300992, 1.298842, 1.293842, 1.285992, 1.273941, 1.254091, 
    1.227591, 1.198741, 1.169542, 1.143842, 1.124093, 1.108994, 1.095295, 
    1.085846, 1.083096, 1.086996, 1.095796, 1.107995, 1.119896, 1.128998, 
    1.136701, 1.143805, 1.14766, 1.146765, 1.140969, 1.132073, 1.124626, 
    1.124773, 1.135769, 1.156714, 1.181358, 1.203502, 1.221447, 1.235693, 
    1.238441, 1.230241, 1.210495, 1.179301, 1.145157, 1.117513, 1.098619, 
    1.093474, 1.103129, 1.117782, 1.133836, 1.14964, 1.173093, 1.203795, 
    1.240797, 1.295149, 1.372649, 1.468549, 1.584747, 1.706441, 1.822532, 
    1.913772, 1.999761, 2.095993, 1.844385, 0.5510754, 0, 0, 0, 0, 0, 
    1.089938, 2.172461, 2.147265, 2.120315, 2.105663, 2.11011, 1.591112, 
    0.3191146, 0.1094831, 1.423679, 2.19174, 2.192839, 2.191838, 2.181288, 
    2.159738, 1.385886, 1.044752, 1.028924, 1.545386, 2.074442, 2.107486, 
    2.151581, 2.193232, 2.219835, 2.236339, 2.247595, 2.248501, 2.244159, 
    2.239069, 2.223081, 2.20154, 2.179296, 2.169798, 2.1674, 2.167801, 
    2.169251, 2.171, 2.17205, 2.1723, 2.173249, 2.177249, 2.184797, 2.194796, 
    2.208294, 2.224892, 2.238189, 2.233035, 2.197429, 2.140873, 2.081018, 
    2.029265, 1.985563, 1.958465, 1.96197, 1.995275, 2.08773, 2.291082, 
    2.599982, 2.979786, 3.431695, 3.965457, 4.402906, 4.661565, 4.952776, 
    4.748232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.6799447, 0.6418348, 0.1883149, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1085315, 1.420769, 2.209992, 2.21754, 2.220238, 2.225989, 2.23124, 
    2.229491, 2.219843, 1.877147, 1.096083, 1.089672, 0.9770839, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.070383, 2.127839, 2.119981, 2.108268, 0.2104965, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6377664, 0.5013383, 0, 0.5122065, 
    1.425808, 1.506922, 1.50817, 1.508371, 1.469628, 1.417237, 1.371946, 
    1.322454, 1.267415, 1.217627, 1.169987, 1.13425, 1.117763, 1.130723, 
    1.170277, 1.222774, 1.290164, 1.366803, 1.44149, 1.518625, 1.597809, 
    1.664144, 1.701431, 1.720172, 1.729117, 1.731316, 1.728166, 1.722566, 
    1.712217, 1.698318, 1.68242, 1.663373, 1.639326, 1.613729, 1.591931, 
    1.572584, 1.554637, 1.539339, 1.525191, 1.511743, 1.498046, 1.48545, 
    1.472454, 1.457009, 1.437314, 1.415069, 1.393725, 1.373779, 1.354584, 
    1.337537, 1.324488, 1.31354, 1.305691, 1.301392,
  1.315982, 1.315633, 1.312784, 1.306685, 1.298237, 1.285938, 1.265589, 
    1.238441, 1.208991, 1.179541, 1.154739, 1.135237, 1.120236, 1.106286, 
    1.096436, 1.094085, 1.098235, 1.106935, 1.118736, 1.12764, 1.133244, 
    1.136748, 1.138754, 1.136808, 1.130512, 1.120017, 1.10667, 1.096772, 
    1.099271, 1.115765, 1.143259, 1.174853, 1.203248, 1.227443, 1.247537, 
    1.253883, 1.245981, 1.221985, 1.183791, 1.142497, 1.108253, 1.082758, 
    1.071463, 1.075419, 1.085773, 1.097876, 1.110128, 1.130331, 1.158283, 
    1.192536, 1.243789, 1.319841, 1.415042, 1.53369, 1.662235, 1.789525, 
    1.893263, 1.991753, 2.105391, 1.858821, 0.5529731, 0, 0, 0, 0, 0, 
    1.955316, 2.154869, 2.128518, 2.103214, 2.09246, 2.099358, 2.119255, 
    1.391272, 1.089376, 1.42879, 2.201743, 2.204392, 1.211894, 1.096329, 
    1.08541, 1.067656, 1.14644, 2.057806, 2.059005, 2.078053, 2.116099, 
    2.164797, 2.204499, 2.227402, 2.239256, 2.244611, 2.239515, 2.227071, 
    2.211329, 2.18194, 2.150548, 2.122652, 2.109805, 2.105108, 2.104309, 
    2.10491, 2.106511, 2.107711, 2.10831, 2.10961, 2.11431, 2.123258, 
    2.135056, 2.151404, 2.17145, 2.188596, 2.189041, 2.161482, 2.113374, 
    2.061665, 2.016008, 1.975604, 1.947654, 1.945807, 1.973012, 2.059717, 
    2.259472, 2.56398, 2.93529, 3.372407, 3.884284, 4.303915, 4.547882, 
    4.816011, 4.862661, 1.835658, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.2651817, 0.7209831, 0.5313, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3316336, 1.668216, 2.230638, 2.23269, 2.237841, 2.242242, 
    2.239292, 2.227394, 1.551547, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1069382, 1.069081, 1.067629, 1.065475, 0.1064874, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.6968763, 0.7781694, 1.186153, 1.591337, 
    1.549984, 1.492434, 1.077078, 1.16308, 1.313755, 1.250467, 1.190477, 
    1.142385, 1.110848, 1.110311, 1.14252, 1.195723, 1.272816, 1.362904, 
    1.453489, 1.548623, 1.647206, 1.73184, 1.784925, 1.817011, 1.834202, 
    1.838749, 1.837396, 1.832545, 1.822143, 1.807344, 1.789645, 1.767747, 
    1.74065, 1.710803, 1.685657, 1.66331, 1.642611, 1.624714, 1.607916, 
    1.591469, 1.573923, 1.556228, 1.538432, 1.517487, 1.490794, 1.461251, 
    1.432958, 1.406764, 1.381719, 1.360773, 1.344976, 1.331978, 1.32268, 
    1.317381,
  1.340972, 1.339574, 1.335325, 1.328225, 1.318226, 1.304728, 1.283977, 
    1.255778, 1.226227, 1.197726, 1.174725, 1.156723, 1.141974, 1.128274, 
    1.118025, 1.115925, 1.119726, 1.127728, 1.136581, 1.140437, 1.141241, 
    1.139946, 1.136251, 1.128607, 1.117262, 1.102066, 1.084819, 1.07327, 
    1.078517, 1.101261, 1.136204, 1.174847, 1.209491, 1.239935, 1.26603, 
    1.277474, 1.271472, 1.244823, 1.199829, 1.151836, 1.111491, 1.080595, 
    1.064399, 1.063502, 1.070754, 1.080455, 1.091056, 1.109506, 1.135757, 
    1.166561, 1.213665, 1.284622, 1.376028, 1.493332, 1.623635, 1.487135, 
    1.419865, 1.981766, 1.999556, 0.7686209, 0, 0, 0, 0, 0, 0, 1.940311, 
    2.137462, 2.113759, 2.092155, 2.084355, 2.092804, 2.114753, 2.1458, 
    2.183149, 2.202798, 2.207747, 2.210248, 1.21286, 1.095268, 1.081743, 
    1.80811, 2.080517, 2.043819, 2.045769, 2.067317, 2.108914, 2.158215, 
    2.195518, 2.214971, 2.222325, 2.223578, 2.214031, 2.195736, 2.171693, 
    2.13235, 2.094054, 2.062058, 2.044912, 2.037165, 2.034568, 2.033719, 
    2.033671, 2.034722, 2.035322, 2.036971, 2.04237, 2.052719, 2.066567, 
    2.086015, 2.110061, 2.132455, 2.139299, 2.12164, 2.085826, 2.045714, 
    2.009254, 1.975246, 1.949343, 1.944744, 1.967497, 2.049401, 2.242159, 
    2.534872, 2.889044, 3.300622, 3.775364, 4.153557, 4.377677, 4.611609, 
    4.883216, 3.560068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.5313, 0.7211203, 0.266142, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3337308, 1.678213, 2.241193, 2.240795, 2.245196, 2.249246, 2.245946, 
    2.121952, 0.7780885, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4082547, 
    0.8151069, 0.8767188, 1.575415, 0.7719564, 0.4888037, 1.306062, 1.304934, 
    1.233195, 1.175804, 1.133061, 1.113382, 1.131749, 1.178109, 1.260107, 
    1.361698, 1.466986, 1.57997, 1.697703, 1.800885, 1.870171, 1.917756, 
    1.948142, 1.958934, 1.961879, 1.959576, 1.951073, 1.937321, 1.91937, 
    1.895821, 1.866023, 1.832376, 1.803629, 1.778382, 1.755085, 1.734587, 
    1.715139, 1.694993, 1.672848, 1.649852, 1.626408, 1.599115, 1.564223, 
    1.525632, 1.48919, 1.455547, 1.423805, 1.39756, 1.377465, 1.361568, 
    1.35022, 1.343871,
  1.375462, 1.373711, 1.36931, 1.36236, 1.352708, 1.339207, 1.319405, 
    1.292053, 1.263451, 1.235551, 1.212752, 1.195053, 1.179454, 1.164557, 
    1.15206, 1.147814, 1.149217, 1.154821, 1.159475, 1.157281, 1.151988, 
    1.145294, 1.13575, 1.122255, 1.10576, 1.086114, 1.065917, 1.053567, 
    1.062514, 1.092456, 1.135148, 1.180992, 1.222235, 1.259278, 1.291622, 
    1.309664, 1.307709, 1.280209, 1.229763, 1.175469, 1.129974, 1.095326, 
    1.075479, 1.072031, 1.077732, 1.086932, 1.097631, 1.117428, 1.143228, 
    1.169733, 1.21039, 1.271702, 1.354263, 1.464472, 1.505793, 0.8651473, 
    1.384159, 1.955934, 1.044293, 0, 0, 0, 0, 0, 0, 0, 1.928611, 2.125061, 
    2.103511, 2.084409, 2.078806, 2.088454, 2.112002, 2.147097, 2.186594, 
    2.206795, 2.210997, 2.21135, 2.206354, 2.189709, 2.158518, 2.113327, 
    2.051139, 2.010744, 2.011048, 2.033049, 2.073404, 2.120008, 2.154811, 
    2.17316, 2.179008, 2.179956, 2.169554, 2.149702, 2.119407, 2.074959, 
    2.032562, 1.996467, 1.974921, 1.962926, 1.957329, 1.954182, 1.952234, 
    1.952235, 1.952835, 1.954835, 1.960934, 1.972683, 1.988581, 2.011128, 
    2.039623, 2.067318, 2.081061, 2.073801, 2.052288, 2.026074, 2.000513, 
    1.975653, 1.954547, 1.949796, 1.970747, 2.0491, 2.234656, 2.512121, 
    2.842046, 3.218534, 3.646481, 3.976529, 4.180947, 4.382576, 4.596577, 
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    0.4233759, 0, 0, 0.9005471, 1.407212, 2.235257, 2.241806, 2.240805, 
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    1.321386, 1.253448, 1.201558, 1.15354, 1.149217, 1.181285, 1.260143, 
    1.368089, 1.483982, 1.611071, 1.745756, 1.866441, 1.951675, 2.015209, 
    2.060844, 2.082232, 2.092124, 2.095716, 2.092109, 2.082753, 2.066101, 
    2.043149, 2.011949, 1.975751, 1.944353, 1.916456, 1.890607, 1.86781, 
    1.845363, 1.821865, 1.79482, 1.766326, 1.736382, 1.70154, 1.65715, 
    1.608061, 1.561921, 1.519631, 1.47939, 1.446197, 1.420952, 1.401306, 
    1.38686, 1.379211,
  1.417953, 1.417601, 1.415747, 1.410944, 1.40394, 1.393435, 1.376381, 
    1.351478, 1.324177, 1.296178, 1.272129, 1.252083, 1.234186, 1.215941, 
    1.198547, 1.189403, 1.186957, 1.188013, 1.187868, 1.179474, 1.166982, 
    1.153789, 1.137846, 1.118901, 1.097506, 1.07366, 1.050963, 1.038463, 
    1.053005, 1.090997, 1.14114, 1.194432, 1.243223, 1.287814, 1.328654, 
    1.355744, 1.359687, 1.332137, 1.278689, 1.220541, 1.171692, 1.134395, 
    1.112446, 1.107198, 1.111949, 1.121948, 1.134146, 1.154648, 1.175956, 
    1.197961, 1.229222, 1.277237, 1.346502, 1.444467, 1.391381, 0.5233662, 
    1.792801, 1.243218, 0.09870042, 0, 0, 0, 0, 0, 0, 0, 1.068292, 2.108572, 
    2.087272, 2.069121, 2.065221, 2.07622, 2.103765, 2.144258, 2.187903, 
    2.208851, 2.211003, 2.208605, 2.199759, 1.855721, 1.601367, 2.081537, 
    2.008646, 1.96365, 1.960303, 1.977612, 2.011519, 2.052776, 2.085328, 
    2.104228, 2.112924, 2.115922, 2.107321, 2.088919, 2.056519, 2.009871, 
    1.964573, 1.924526, 1.897982, 1.881387, 1.871841, 1.865445, 1.861297, 
    1.860248, 1.860599, 1.862699, 1.869498, 1.882646, 1.900844, 1.926042, 
    1.959088, 1.991682, 2.012326, 2.015465, 2.007851, 1.996086, 1.982274, 
    1.967414, 1.953754, 1.952099, 1.973997, 2.050847, 2.230602, 2.493366, 
    2.797792, 3.136529, 3.516128, 3.798376, 3.98644, 4.160515, 4.328704, 
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    1.413581, 1.329336, 1.238789, 1.202675, 1.212402, 1.279369, 1.386973, 
    1.508469, 1.644662, 1.791253, 1.924295, 2.022435, 2.100971, 2.161157, 
    2.194145, 2.213634, 2.226474, 2.232163, 2.23205, 2.222588, 2.204031, 
    2.173379, 2.13628, 2.10333, 2.073881, 2.046083, 2.021035, 1.995588, 
    1.968393, 1.936149, 1.900806, 1.864113, 1.820772, 1.765534, 1.704497, 
    1.647907, 1.595518, 1.545928, 1.504686, 1.473693, 1.449348, 1.431451, 
    1.422053,
  1.467444, 1.468842, 1.470239, 1.468686, 1.464684, 1.457881, 1.444876, 
    1.423422, 1.397919, 1.370318, 1.34462, 1.322321, 1.301423, 1.279477, 
    1.256482, 1.241189, 1.233945, 1.229501, 1.223807, 1.209463, 1.19022, 
    1.169229, 1.146386, 1.121693, 1.095498, 1.067552, 1.041606, 1.029306, 
    1.050251, 1.096043, 1.154183, 1.215874, 1.273214, 1.327752, 1.380088, 
    1.418126, 1.428669, 1.403165, 1.350162, 1.29201, 1.242908, 1.204309, 
    1.18091, 1.174511, 1.17941, 1.190958, 1.204606, 1.223558, 1.23517, 
    1.249232, 1.267548, 1.298868, 1.350739, 1.430262, 0.8398441, 1.052305, 
    1.295756, 0.27313, 0, 0, 0, 0, 0, 0, 0, 0, 1.046317, 2.087771, 2.066022, 
    2.048821, 2.046068, 2.057768, 2.090263, 2.136408, 2.185202, 2.2082, 
    2.20925, 2.204702, 2.084735, 0.764273, 1.047009, 2.052723, 1.969835, 
    1.917945, 1.907806, 1.915867, 1.940978, 1.973789, 2.001098, 2.018601, 
    2.030349, 2.036344, 2.031338, 2.016182, 1.98533, 1.93743, 1.890082, 
    1.846586, 1.814591, 1.793047, 1.778853, 1.768507, 1.761411, 1.759113, 
    1.759113, 1.761213, 1.768613, 1.78346, 1.803359, 1.830258, 1.866555, 
    1.902753, 1.928599, 1.940791, 1.946478, 1.949411, 1.948297, 1.944385, 
    1.940923, 1.945614, 1.973504, 2.054945, 2.232992, 2.483554, 2.764277, 
    3.069859, 3.405502, 3.661558, 3.837618, 3.991285, 4.127412, 4.202792, 
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    0.4422568, 0.9732594, 1.002028, 0.3434794, 0.5986233, 0.9677913, 1.05935, 
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    0, 0, 1.080321, 2.108501, 1.991171, 1.861749, 1.74372, 1.641793, 
    1.518668, 1.374627, 1.297127, 1.275266, 1.321094, 1.419709, 1.540713, 
    1.680613, 1.83326, 1.972505, 2.076453, 2.161853, 2.234043, 2.279029, 
    2.309666, 2.333304, 2.351739, 2.365373, 2.369607, 2.361941, 2.339276, 
    2.303123, 2.269574, 2.239525, 2.210525, 2.183427, 2.154831, 2.123434, 
    2.08559, 2.043647, 1.999605, 1.947514, 1.881474, 1.808786, 1.741398, 
    1.678908, 1.619968, 1.570526, 1.533433, 1.504038, 1.482542, 1.471394,
  1.522437, 1.524886, 1.528234, 1.528783, 1.526931, 1.522628, 1.513375, 
    1.495671, 1.472918, 1.447713, 1.422161, 1.399511, 1.377411, 1.353911, 
    1.327762, 1.306968, 1.294673, 1.284479, 1.272737, 1.252094, 1.22695, 
    1.197958, 1.166869, 1.134828, 1.103484, 1.07109, 1.044238, 1.034482, 
    1.060477, 1.112022, 1.178214, 1.249253, 1.31694, 1.383227, 1.447764, 
    1.494108, 1.509655, 1.487751, 1.438147, 1.383241, 1.337386, 1.300631, 
    1.277429, 1.271927, 1.278873, 1.293169, 1.312358, 1.328712, 1.333116, 
    1.337874, 1.340841, 1.353213, 1.027233, 0.7138836, 0.226616, 1.327638, 
    0.4119138, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.047867, 2.066175, 2.042778, 
    2.026378, 2.026474, 2.040819, 2.077764, 2.129058, 2.182703, 2.209946, 
    2.212991, 2.207641, 1.977392, 0, 1.044247, 2.04195, 1.947912, 1.885375, 
    1.864538, 1.859805, 1.869677, 1.889295, 1.906358, 1.919215, 1.931167, 
    1.941862, 1.943354, 1.933997, 1.906791, 1.861086, 1.813335, 1.767336, 
    1.73104, 1.704346, 1.6856, 1.671055, 1.661856, 1.657957, 1.657608, 
    1.659708, 1.667158, 1.682609, 1.702361, 1.727715, 1.762122, 1.797426, 
    1.824877, 1.842873, 1.859163, 1.874952, 1.885839, 1.894275, 1.904707, 
    1.921289, 1.962021, 2.055255, 2.238795, 2.483247, 2.747509, 3.02858, 
    3.330112, 3.583112, 3.753314, 3.894475, 4.009692, 4.063559, 4.062362, 
    2.593963, 0.1968614, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3171883, 
    0.7594091, 0.1384571, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1261689, 0.6317815, 
    0.8864, 0.5542287, 0.3893637, 0, 0.6012337, 0.08589053, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5835445, 
    2.073195, 2.344408, 2.185046, 2.043626, 1.918653, 1.769384, 1.566404, 
    1.436818, 1.371973, 1.384917, 1.464344, 1.576209, 1.712917, 1.864473, 
    2.004675, 2.108228, 2.192531, 2.269182, 2.326419, 2.368706, 2.405041, 
    2.438872, 2.469452, 2.490132, 2.498912, 2.492242, 2.464077, 2.431574, 
    2.401872, 2.372922, 2.344323, 2.313075, 2.277979, 2.235085, 2.18749, 
    2.136348, 2.076107, 2.000317, 1.91608, 1.838391, 1.766651, 1.69901, 
    1.641868, 1.598675, 1.56458, 1.539184, 1.526386,
  1.578436, 1.580887, 1.584737, 1.585937, 1.585187, 1.582685, 1.576383, 
    1.562078, 1.542923, 1.522018, 1.499613, 1.478809, 1.457906, 1.434905, 
    1.408504, 1.384706, 1.368908, 1.354511, 1.337316, 1.31187, 1.282174, 
    1.248277, 1.21088, 1.173533, 1.139433, 1.104982, 1.07973, 1.073328, 
    1.102926, 1.157025, 1.227722, 1.305169, 1.380914, 1.455259, 1.527904, 
    1.57835, 1.596897, 1.578343, 1.533237, 1.484229, 1.444621, 1.413412, 
    1.395452, 1.396041, 1.409828, 1.432364, 1.457162, 1.471064, 1.472816, 
    1.471771, 1.46308, 1.453858, 1.099314, 0.2255256, 0.6678998, 0.5325326, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1032891, 1.331881, 2.02127, 2.009161, 
    2.014901, 2.034046, 2.074244, 2.129839, 2.19003, 2.222475, 2.226478, 
    2.218933, 1.10374, 0, 1.052983, 2.056965, 1.954921, 1.878539, 1.844258, 
    1.823626, 1.810756, 1.808289, 1.809611, 1.812328, 1.820634, 1.834882, 
    1.843124, 1.840516, 1.820804, 1.782443, 1.738335, 1.692484, 1.654334, 
    1.623438, 1.600593, 1.581948, 1.570901, 1.566301, 1.565601, 1.567352, 
    1.574552, 1.588355, 1.604113, 1.623372, 1.650332, 1.68039, 1.705644, 
    1.726342, 1.748838, 1.77338, 1.794618, 1.81725, 1.84478, 1.879007, 
    1.937036, 2.046515, 2.241698, 2.488042, 2.744498, 3.010061, 3.286886, 
    3.530557, 3.699807, 3.833015, 3.93373, 3.974693, 3.971843, 3.930127, 
    1.917608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.9384221, 2.636983, 2.59532, 2.421763, 2.271993, 2.070181, 
    1.794926, 1.599313, 1.476141, 1.459763, 1.509105, 1.606223, 1.737627, 
    1.882087, 2.0157, 2.11376, 2.194316, 2.269618, 2.336309, 2.390495, 
    2.44048, 2.49101, 2.540139, 2.578918, 2.605797, 2.618172, 2.604655, 
    2.574103, 2.542509, 2.510916, 2.478823, 2.443879, 2.405083, 2.357988, 
    2.304545, 2.247651, 2.183052, 2.102701, 2.012102, 1.928654, 1.851157, 
    1.776564, 1.71302, 1.664925, 1.626978, 1.598281, 1.583584,
  1.630441, 1.631144, 1.63235, 1.632004, 1.629958, 1.626511, 1.620464, 
    1.608014, 1.593208, 1.57805, 1.562489, 1.54703, 1.530672, 1.511165, 
    1.487409, 1.464705, 1.447904, 1.431456, 1.410859, 1.382114, 1.349666, 
    1.314067, 1.274469, 1.236019, 1.202418, 1.168817, 1.144715, 1.139764, 
    1.170664, 1.225014, 1.295966, 1.376412, 1.455409, 1.533006, 1.609403, 
    1.663598, 1.684895, 1.66979, 1.630333, 1.588673, 1.556863, 1.534152, 
    1.526038, 1.535778, 1.553831, 1.582731, 1.608729, 1.622428, 1.623079, 
    1.617784, 1.600345, 1.570965, 1.151603, 0.7726728, 0.6726456, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.3035825, 1.008684, 1.004724, 1.009586, 
    1.020312, 1.041012, 1.824302, 2.206431, 2.244423, 2.246475, 2.233831, 
    0.2230983, 0.3295011, 1.618148, 2.08861, 1.980917, 1.89143, 1.841748, 
    1.804319, 1.769591, 1.741669, 1.718355, 1.70343, 1.703194, 1.718095, 
    1.73164, 1.736082, 1.72632, 1.698357, 1.662594, 1.621933, 1.58513, 
    1.551881, 1.524837, 1.503039, 1.489991, 1.484642, 1.483593, 1.484993, 
    1.491395, 1.5017, 1.51036, 1.52112, 1.538932, 1.561392, 1.583146, 
    1.605594, 1.632937, 1.664478, 1.695866, 1.732849, 1.777829, 1.830657, 
    1.907534, 2.034463, 2.2423, 2.493744, 2.746747, 3.002556, 3.262222, 
    3.491285, 3.661034, 3.78844, 3.87885, 3.912055, 3.910551, 3.883483, 
    3.638787, 1.891215, 0.942465, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 3.017306, 3.116342, 2.903591, 2.715005, 2.438643, 
    2.08658, 1.813925, 1.616873, 1.552666, 1.556083, 1.629971, 1.74725, 
    1.880417, 2.002481, 2.092292, 2.1667, 2.238407, 2.311401, 2.376289, 
    2.439424, 2.506653, 2.574331, 2.631708, 2.677534, 2.708863, 2.707303, 
    2.676905, 2.64056, 2.602918, 2.564376, 2.523932, 2.481038, 2.429644, 
    2.373144, 2.315439, 2.252136, 2.173282, 2.084128, 2.000925, 1.922624, 
    1.845523, 1.778625, 1.727427, 1.68708, 1.655832, 1.638985,
  1.669463, 1.667018, 1.662476, 1.657633, 1.651739, 1.644794, 1.6356, 
    1.622302, 1.612246, 1.604984, 1.599421, 1.593157, 1.584945, 1.572883, 
    1.556221, 1.538264, 1.524157, 1.507256, 1.484858, 1.454158, 1.419911, 
    1.382863, 1.343012, 1.305459, 1.273906, 1.24305, 1.220647, 1.216397, 
    1.247147, 1.3003, 1.368704, 1.449059, 1.52866, 1.606861, 1.684512, 
    1.741211, 1.765407, 1.754252, 1.722041, 1.690426, 1.668362, 1.656446, 
    1.66058, 1.679816, 1.697315, 1.727412, 1.755757, 1.772052, 1.773549, 
    1.765252, 1.73961, 1.435483, 0.4000051, 1.118191, 0.1597416, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7582554, 1.109839, 1.130641, 
    1.131343, 1.123623, 0.1121819, 0.6625451, 2.187727, 2.118317, 2.007218, 
    1.909725, 1.847238, 1.793158, 1.739583, 1.691305, 1.642582, 1.605062, 
    1.590833, 1.601742, 1.617142, 1.627287, 1.627424, 1.611208, 1.586344, 
    1.555181, 1.522026, 1.488774, 1.459574, 1.435976, 1.421528, 1.415628, 
    1.414328, 1.415129, 1.420181, 1.426036, 1.427096, 1.428508, 1.43687, 
    1.450531, 1.468885, 1.492485, 1.52493, 1.563072, 1.60436, 1.654045, 
    1.715375, 1.786452, 1.882278, 2.024312, 2.242399, 2.497297, 2.747501, 
    2.996309, 3.24502, 3.462436, 3.628546, 3.751601, 3.835608, 3.866508, 
    3.8698, 3.856983, 3.8307, 3.809754, 1.903465, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1267299, 1.266252, 0.6319041, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.04145417, 
    0.4169478, 0.2112809, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.588139, 3.798304, 
    3.682561, 3.432603, 3.194911, 2.854331, 2.432217, 2.078671, 1.795836, 
    1.647801, 1.61143, 1.663446, 1.755728, 1.864372, 1.966308, 2.046322, 
    2.113382, 2.179739, 2.256934, 2.330076, 2.403217, 2.486298, 2.573023, 
    2.64925, 2.713578, 2.760062, 2.766352, 2.734954, 2.695156, 2.652411, 
    2.608217, 2.562972, 2.515976, 2.462027, 2.407722, 2.354215, 2.295109, 
    2.220252, 2.134398, 2.053695, 1.976843, 1.900891, 1.833191, 1.780193, 
    1.738394, 1.705296, 1.685451,
  1.686992, 1.681047, 1.670504, 1.659961, 1.649268, 1.637874, 1.624529, 
    1.612075, 1.606769, 1.608457, 1.613942, 1.618728, 1.620465, 1.617652, 
    1.610091, 1.59913, 1.589924, 1.575119, 1.551272, 1.51728, 1.479437, 
    1.439143, 1.39715, 1.359902, 1.331697, 1.305241, 1.286186, 1.284379, 
    1.316425, 1.369473, 1.43717, 1.516718, 1.595668, 1.671822, 1.747626, 
    1.804327, 1.831673, 1.825765, 1.801854, 1.782438, 1.772621, 1.773653, 
    1.791983, 1.817929, 1.838074, 1.871867, 1.905309, 1.9271, 1.93329, 
    1.925486, 1.895988, 1.293817, 0, 0.5723466, 0.0817638, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6658464, 
    2.204231, 2.144865, 2.038203, 1.938002, 1.86721, 1.798527, 1.727049, 
    1.661022, 1.591798, 1.531676, 1.500199, 1.500667, 1.513623, 1.526223, 
    1.534215, 1.5302, 1.516835, 1.495771, 1.467414, 1.435911, 1.406811, 
    1.382262, 1.367111, 1.36191, 1.361807, 1.363104, 1.367005, 1.36901, 
    1.362819, 1.354881, 1.352945, 1.358006, 1.372113, 1.394965, 1.429565, 
    1.47271, 1.522101, 1.583386, 1.661014, 1.750939, 1.864268, 2.018902, 
    2.243996, 2.499248, 2.744756, 2.986766, 3.22543, 3.430945, 3.589304, 
    3.708809, 3.788912, 3.821158, 3.833294, 3.834924, 3.833393, 3.845504, 
    1.929219, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.885622, 1.393904, 2.537653, 1.889613, 0.3744657, 0, 0, 0, 0.7540179, 
    1.038121, 0.9797745, 0.9185854, 0.8853228, 0.8553017, 0.5822694, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.596324, 4.315992, 
    4.21547, 3.935106, 3.662437, 3.264963, 2.778442, 1.773895, 1.632803, 
    1.762203, 1.701835, 1.737612, 1.797912, 1.861683, 1.926344, 1.984586, 
    2.036865, 2.096875, 2.176872, 2.255617, 2.33471, 2.43294, 2.539364, 
    2.634041, 2.71507, 2.774353, 2.787395, 2.755495, 2.713797, 2.66795, 
    2.620502, 2.572255, 2.523305, 2.469405, 2.419748, 2.371491, 2.316935, 
    2.24668, 2.164176, 2.085973, 2.011269, 1.936418, 1.869217, 1.815717, 
    1.773067, 1.737223, 1.712181,
  1.645621, 1.640365, 1.631104, 1.621843, 1.612582, 1.60297, 1.592756, 
    1.586095, 1.587283, 1.597921, 1.613459, 1.627997, 1.638488, 1.644427, 
    1.644667, 1.641008, 1.636702, 1.624699, 1.599151, 1.560605, 1.518459, 
    1.474562, 1.428816, 1.390068, 1.362471, 1.336626, 1.31823, 1.317982, 
    1.353477, 1.408225, 1.477673, 1.558871, 1.638967, 1.715213, 1.791856, 
    1.852345, 1.884935, 1.884977, 1.870014, 1.862099, 1.865132, 1.879714, 
    1.912994, 1.943784, 1.969325, 2.009216, 2.050802, 2.081487, 2.09777, 
    2.097254, 1.961543, 0.6741832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3345096, 1.665243, 2.179044, 
    2.084124, 1.986917, 1.909177, 1.830387, 1.746398, 1.666612, 1.580979, 
    1.501304, 1.451779, 1.43735, 1.442815, 1.45352, 1.464072, 1.467767, 
    1.463059, 1.449602, 1.425348, 1.396195, 1.367793, 1.343591, 1.32914, 
    1.325337, 1.327534, 1.331131, 1.335728, 1.334781, 1.322788, 1.306598, 
    1.293962, 1.289028, 1.296339, 1.315896, 1.349698, 1.394898, 1.450341, 
    1.521878, 1.616604, 1.725927, 1.856503, 2.024184, 2.253228, 2.506383, 
    2.745741, 2.979155, 3.205972, 3.400337, 3.551796, 3.666504, 3.744207, 
    3.779902, 3.802788, 3.817622, 3.834205, 3.867288, 2.920073, 0.5853497, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6218, 2.147584, 
    2.551268, 2.545475, 2.521234, 0.7522463, 0.1180772, 1.172843, 1.137141, 
    1.846934, 2.080453, 1.968839, 1.857707, 1.795595, 1.735744, 1.432227, 
    0.4148658, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    4.596394, 4.750398, 4.439295, 4.132057, 3.691594, 3.15101, 1.426253, 
    0.6934856, 1.835555, 1.863181, 1.876764, 1.891436, 1.892782, 1.905012, 
    1.924574, 1.948322, 1.99789, 2.078491, 2.160388, 2.243683, 2.356116, 
    2.481241, 2.593319, 2.690347, 2.761382, 2.77843, 2.746281, 2.703631, 
    2.656531, 2.608381, 2.560029, 2.511676, 2.458724, 2.41317, 2.36777, 
    2.312926, 2.240188, 2.154352, 2.072316, 1.993082, 1.912548, 1.839815, 
    1.782127, 1.736335, 1.697986, 1.671531,
  1.548649, 1.547943, 1.546682, 1.545969, 1.545106, 1.544593, 1.544678, 
    1.547214, 1.557051, 1.57599, 1.598583, 1.620823, 1.638762, 1.652501, 
    1.66014, 1.662881, 1.662976, 1.652923, 1.627122, 1.587172, 1.543222, 
    1.497175, 1.448829, 1.407334, 1.376989, 1.348043, 1.327196, 1.324999, 
    1.361252, 1.41745, 1.4878, 1.570996, 1.653742, 1.733337, 1.81508, 
    1.883619, 1.925204, 1.933538, 1.928125, 1.931458, 1.946392, 1.973575, 
    2.017765, 2.056253, 2.089591, 2.137628, 2.189911, 2.23374, 2.262772, 
    2.268371, 1.092674, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5595812, 1.88305, 2.141915, 2.053448, 
    1.973643, 1.894185, 1.807231, 1.722182, 1.629882, 1.538291, 1.472162, 
    1.441136, 1.43296, 1.433882, 1.437401, 1.439212, 1.435268, 1.422922, 
    1.399324, 1.371125, 1.344023, 1.321121, 1.308667, 1.308309, 1.316247, 
    1.325235, 1.334375, 1.33392, 1.31947, 1.297327, 1.274291, 1.257259, 
    1.253279, 1.263299, 1.290865, 1.333971, 1.393068, 1.473157, 1.583737, 
    1.71221, 1.861234, 2.043512, 2.277753, 2.528007, 2.759969, 2.982486, 
    3.197103, 3.381665, 3.527023, 3.637377, 3.712182, 3.751826, 3.784014, 
    3.808851, 3.836687, 3.880425, 3.914472, 2.536279, 0.1941982, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7154669, 1.091, 1.162497, 1.839317, 
    2.520054, 2.577458, 2.580377, 2.545697, 1.625871, 1.330293, 2.354344, 
    2.280001, 2.180808, 2.076707, 1.974795, 1.882973, 1.825473, 1.767419, 
    1.710715, 0.8387309, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 2.194913, 5.421593, 5.30501, 4.961254, 2.950979, 3.894057, 
    3.036889, 0.7606493, 0, 0.919448, 1.312147, 2.075432, 2.033168, 1.960977, 
    1.909574, 1.88329, 1.873436, 1.906115, 1.983024, 2.065375, 2.15227, 
    2.272766, 2.414294, 2.542572, 2.652309, 2.730454, 2.748454, 2.716303, 
    2.674351, 2.628597, 2.582192, 2.53529, 2.488738, 2.437286, 2.393036, 
    2.345542, 2.284404, 2.201669, 2.104537, 2.011603, 1.921119, 1.828087, 
    1.743603, 1.678412, 1.628964, 1.590713, 1.567609,
  1.439666, 1.442462, 1.448253, 1.455294, 1.462134, 1.470023, 1.47971, 
    1.491698, 1.509587, 1.535178, 1.564168, 1.593806, 1.620043, 1.64208, 
    1.657618, 1.667257, 1.671749, 1.663995, 1.640041, 1.60069, 1.55624, 
    1.508642, 1.457347, 1.412601, 1.379255, 1.347658, 1.324712, 1.320116, 
    1.352274, 1.40718, 1.478926, 1.564623, 1.650268, 1.733812, 1.821153, 
    1.896894, 1.948729, 1.970107, 1.976237, 1.99117, 2.017154, 2.054342, 
    2.105432, 2.15217, 2.194607, 2.251394, 2.315576, 2.004447, 1.175199, 
    1.178157, 0.1176954, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7845522, 1.198573, 2.133819, 
    2.063845, 1.995621, 1.916851, 1.83504, 1.745531, 1.654272, 1.578827, 
    1.533145, 1.506325, 1.48756, 1.471748, 1.460525, 1.448692, 1.429857, 
    1.401369, 1.370426, 1.343478, 1.323172, 1.315612, 1.326536, 1.346913, 
    1.367292, 1.387071, 1.393406, 1.379853, 1.354057, 1.321071, 1.289845, 
    1.266182, 1.257566, 1.269745, 1.304513, 1.362768, 1.448313, 1.571498, 
    1.717673, 1.884449, 2.080979, 2.320772, 2.568326, 2.791689, 3.002456, 
    3.205722, 3.381186, 3.519499, 3.625607, 3.699006, 3.742301, 3.780994, 
    3.813385, 3.850074, 3.900517, 3.936215, 3.918365, 1.924569, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.420343, 2.183464, 2.340922, 2.44173, 
    2.529219, 2.615182, 2.634616, 2.582447, 2.510678, 2.437129, 2.356949, 
    2.273019, 2.169824, 2.068268, 1.97321, 1.891254, 1.83485, 1.7784, 1.7232, 
    1.256786, 0.2467716, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.708956, 5.554349, 6.184726, 5.781519, 5.426158, 3.38521, 4.308965, 
    3.428914, 1.753325, 0.4874113, 0, 0.330219, 1.09722, 1.060713, 1.957439, 
    1.95609, 1.884205, 1.840308, 1.848002, 1.913676, 1.990839, 2.078841, 
    2.201339, 2.351038, 2.488086, 2.604131, 2.685377, 2.704773, 2.674568, 
    2.635612, 2.594053, 2.551447, 2.507041, 2.462638, 2.411489, 2.3632, 
    2.309063, 2.238479, 2.143649, 2.033419, 1.928388, 1.826505, 1.721322, 
    1.627782, 1.558684, 1.508833, 1.471831, 1.451527,
  1.321688, 1.326586, 1.33723, 1.349026, 1.36117, 1.374713, 1.391256, 
    1.410397, 1.434888, 1.467077, 1.503765, 1.5421, 1.577835, 1.609718, 
    1.635549, 1.653934, 1.664274, 1.660267, 1.638963, 1.60086, 1.556509, 
    1.50796, 1.454313, 1.406368, 1.370023, 1.336127, 1.310731, 1.303535, 
    1.330292, 1.378756, 1.451457, 1.539753, 1.628547, 1.71664, 1.809732, 
    1.89252, 1.953508, 1.989985, 2.012854, 2.039237, 2.075422, 2.120361, 
    2.1781, 2.233287, 2.284375, 2.349811, 2.424797, 1.737282, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.1100352, 1.433782, 2.191022, 2.140842, 2.077267, 
    2.003951, 1.921439, 1.838225, 1.765362, 1.708726, 1.660211, 1.615903, 
    1.573495, 1.541032, 1.515107, 1.484627, 1.446445, 1.408358, 1.377917, 
    1.360066, 1.364041, 1.39396, 1.431581, 1.468154, 1.504176, 1.521807, 
    1.512746, 1.486194, 1.444257, 1.393094, 1.344581, 1.312866, 1.304449, 
    1.324475, 1.377685, 1.464486, 1.595827, 1.756509, 1.938388, 2.145825, 
    2.387775, 2.629689, 2.842907, 3.040729, 3.231301, 3.39562, 3.523988, 
    3.622951, 3.696252, 3.744292, 3.788733, 3.827572, 3.871362, 3.926255, 
    3.96445, 3.947697, 3.669534, 1.304303, 0.7275204, 1.15182, 0.7376394, 
    0.3670751, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.389549, 2.158811, 2.345066, 
    2.440275, 2.53651, 2.647971, 2.681444, 2.606482, 2.517851, 2.445297, 
    2.356452, 2.259272, 2.155419, 2.057764, 1.96646, 1.888006, 1.834401, 
    1.7784, 1.7232, 1.6705, 0.495, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 3.493051, 6.858654, 6.547986, 6.155859, 5.802714, 5.431364, 
    2.65521, 2.076174, 2.659129, 2.143727, 1.351408, 0, 0, 0, 0.9579679, 
    1.30197, 1.456109, 1.566032, 1.829752, 1.875837, 1.940561, 2.024521, 
    2.145677, 2.292238, 2.428593, 2.544648, 2.627398, 2.649045, 2.622838, 
    2.589278, 2.554366, 2.516807, 2.476799, 2.434696, 2.382099, 2.32646, 
    2.263075, 2.180794, 2.072066, 1.947439, 1.830157, 1.716376, 1.600192, 
    1.500849, 1.4307, 1.381549, 1.346346, 1.328293,
  1.198695, 1.204295, 1.216246, 1.229496, 1.243447, 1.259147, 1.278446, 
    1.30229, 1.332182, 1.370824, 1.416358, 1.464841, 1.511622, 1.555601, 
    1.594928, 1.624408, 1.641797, 1.64239, 1.623885, 1.587332, 1.54403, 
    1.494781, 1.439235, 1.388139, 1.348794, 1.312248, 1.284701, 1.274207, 
    1.29432, 1.334383, 1.406534, 1.49738, 1.589325, 1.68162, 1.779363, 
    1.868206, 1.938041, 1.989667, 2.03124, 2.069021, 2.113959, 2.16555, 
    2.230188, 2.293277, 2.352664, 2.426053, 2.380501, 0.890765, 0, 0, 0, 0, 
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    2.119694, 2.046826, 1.983709, 1.927393, 1.870134, 1.804508, 1.732608, 
    1.674501, 1.630532, 1.585158, 1.534032, 1.485849, 1.449608, 1.435398, 
    1.456071, 1.50604, 1.561762, 1.615038, 1.66876, 1.699638, 1.697926, 
    1.672773, 1.620393, 1.546826, 1.475261, 1.421195, 1.392027, 1.395203, 
    1.439621, 1.524276, 1.660619, 1.831806, 2.024094, 2.237738, 2.477245, 
    2.708515, 2.90814, 3.090616, 3.263947, 3.412677, 3.527751, 3.617267, 
    3.688373, 3.742464, 3.793503, 3.838943, 3.889333, 3.949971, 3.991965, 
    3.976563, 3.882914, 2.623578, 0.7320634, 1.874238, 1.475613, 0.8602561, 
    0.4096971, 0.405959, 0.3577622, 0, 0, 0, 0, 0, 0, 1.350373, 2.122551, 
    2.339003, 2.437483, 2.547854, 2.685163, 2.738976, 2.650878, 2.556127, 
    2.472217, 2.364073, 2.251003, 2.1491, 2.0532, 1.677209, 0.9459894, 
    1.555984, 0.9828799, 1.117177, 1.6705, 0.495, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    6.135999, 3.732264, 0.2762731, 0, 1.873753, 3.473452, 3.00661, 1.558294, 
    1.498235, 0.442443, 0, 0.3039606, 0.5066009, 1.32116, 1.85726, 1.878952, 
    1.925733, 2.000851, 2.113323, 2.247151, 2.373578, 2.483193, 2.563601, 
    2.5863, 2.564095, 2.536636, 2.508327, 2.476817, 2.442059, 2.402404, 
    2.347309, 2.284072, 2.210589, 2.115759, 1.991684, 1.852806, 1.723425, 
    1.598591, 1.473552, 1.370556, 1.300206, 1.252253, 1.218851, 1.202748,
  1.077197, 1.082448, 1.093301, 1.105853, 1.118955, 1.134157, 1.153657, 
    1.180205, 1.214199, 1.257991, 1.311979, 1.371062, 1.428646, 1.484828, 
    1.538305, 1.579686, 1.604823, 1.610364, 1.594411, 1.559508, 1.517058, 
    1.467956, 1.410259, 1.356563, 1.314567, 1.27572, 1.246722, 1.233275, 
    1.245338, 1.278398, 1.350099, 1.442996, 1.537094, 1.631891, 1.732488, 
    1.825731, 1.904567, 1.970097, 2.027274, 2.07501, 2.127498, 2.184889, 
    2.255232, 2.324473, 2.390216, 2.469608, 2.300201, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.282012, 2.229944, 2.181983, 2.122051, 2.033451, 1.929754, 1.843552, 
    1.779237, 1.717364, 1.651688, 1.592506, 1.551313, 1.54405, 1.581673, 
    1.650842, 1.723465, 1.79189, 1.861566, 1.906294, 1.913378, 1.890373, 
    1.825643, 1.733619, 1.642947, 1.569425, 1.520607, 1.506686, 1.539057, 
    1.618319, 1.75642, 1.933964, 2.130064, 2.343321, 2.573992, 2.790969, 
    2.973649, 3.137085, 3.288673, 3.417708, 3.516536, 3.595055, 3.662512, 
    3.721505, 3.779294, 3.831831, 3.889767, 3.956708, 4.003, 2.601026, 
    1.953552, 1.319625, 0, 0.7198591, 0.738119, 0.6198044, 0.8342097, 
    0.8300487, 0.7759581, 0.4086021, 0.4001799, 0.430131, 0.5015455, 
    0.628078, 0.7707075, 1.588538, 1.152546, 1.172944, 1.859674, 2.601222, 
    2.758898, 2.825195, 2.734352, 2.630583, 1.504927, 2.374544, 2.254734, 
    2.159416, 1.136973, 0.6970344, 0, 0.6401479, 0.0914497, 0.254484, 
    0.8379963, 0.2483138, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.119955, 1.866592, 2.5325, 6.750399, 6.779714, 6.419837, 1.877742, 0, 0, 
    2.013049, 3.758679, 3.434918, 3.256621, 3.135822, 1.976209, 1.369233, 
    0.8773558, 0, 1.390067, 1.930203, 1.924401, 1.948941, 2.013009, 2.115569, 
    2.235485, 2.346259, 2.44164, 2.51042, 2.531575, 2.511574, 2.488768, 
    2.465859, 2.440151, 2.410044, 2.371545, 2.312453, 2.24002, 2.155339, 
    2.047212, 1.907338, 1.754163, 1.612932, 1.478347, 1.347255, 1.242208, 
    1.172706, 1.125954, 1.094351, 1.079899,
  0.9591977, 0.9637489, 0.9733011, 0.9845534, 0.9962062, 1.010308, 1.02926, 
    1.05651, 1.092708, 1.140453, 1.201541, 1.269179, 1.335665, 1.4018, 
    1.466884, 1.519964, 1.553101, 1.563842, 1.550337, 1.515889, 1.47309, 
    1.424341, 1.366687, 1.311488, 1.267341, 1.227392, 1.194752, 1.176167, 
    1.181626, 1.21053, 1.282179, 1.376328, 1.470879, 1.56613, 1.669374, 
    1.770006, 1.859334, 1.937812, 2.007443, 2.06303, 2.121522, 2.183168, 
    2.256266, 2.327966, 2.395019, 2.476072, 1.285672, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0.3822988, 1.967006, 2.676103, 2.680958, 2.64734, 2.590593, 
    2.540822, 2.499056, 2.45595, 2.389304, 2.275438, 2.139394, 2.023396, 
    1.942217, 1.869077, 1.789799, 1.720615, 1.677763, 1.679695, 1.733368, 
    1.821486, 1.910408, 1.993733, 2.07751, 2.135288, 2.151574, 2.130771, 
    2.056832, 1.950453, 1.844378, 1.753707, 1.687035, 1.656312, 1.67698, 
    1.748045, 1.882158, 2.059614, 2.253024, 2.457994, 2.672228, 2.868073, 
    3.02792, 3.166418, 3.292365, 3.398009, 3.477596, 3.54317, 3.606677, 
    3.670716, 3.736351, 3.798482, 3.865615, 3.938952, 3.992286, 1.202558, 0, 
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    0.811471, 0.869827, 1.009689, 1.26035, 1.553476, 1.855736, 1.170405, 
    1.195959, 1.897363, 2.655597, 2.82563, 2.896667, 2.803169, 1.752825, 
    0.2533608, 1.534181, 2.255763, 1.420015, 0.107716, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3749674, 4.876108, 
    5.623576, 3.737117, 6.939417, 7.017741, 5.017977, 0.9586068, 0, 
    0.7167981, 3.30828, 3.970316, 3.658087, 3.483821, 3.369896, 3.183867, 
    2.85877, 1.832006, 0, 0.7178388, 1.94575, 2.022817, 2.022062, 2.065413, 
    2.158386, 2.269699, 2.367916, 2.444449, 2.492139, 2.503268, 2.481525, 
    2.459779, 2.439379, 2.416877, 2.388527, 2.348282, 2.282696, 2.199515, 
    2.102338, 1.980312, 1.824938, 1.65766, 1.50493, 1.361643, 1.225502, 
    1.119353, 1.050454, 1.004652, 0.9747496, 0.9610489,
  0.8501802, 0.8543802, 0.8631805, 0.8725849, 0.8824381, 0.8954403, 0.912894, 
    0.9401438, 0.9766943, 1.025845, 1.091142, 1.164833, 1.238422, 1.31236, 
    1.386047, 1.448484, 1.487378, 1.502472, 1.49067, 1.455123, 1.410378, 
    1.358987, 1.299647, 1.241506, 1.193915, 1.151224, 1.113232, 1.08834, 
    1.090691, 1.119986, 1.194227, 1.290969, 1.387661, 1.48575, 1.595184, 
    1.706664, 1.808343, 1.898824, 1.978757, 2.041395, 2.105035, 2.168683, 
    2.241187, 2.310595, 2.373307, 1.59555, 0.1249901, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0.6906819, 2.419372, 2.889122, 2.873426, 2.81488, 
    2.775913, 2.744145, 2.702795, 2.630111, 2.502475, 2.346737, 2.199493, 
    2.10447, 2.031459, 1.941972, 1.865233, 1.827466, 1.846027, 1.920979, 
    2.031832, 2.139544, 2.238864, 2.336738, 2.406518, 2.431452, 2.409858, 
    2.324039, 2.200876, 2.076565, 1.967301, 1.882187, 1.836263, 1.845186, 
    1.905209, 2.030427, 2.201991, 2.38427, 2.571114, 2.759021, 2.924283, 
    3.054489, 3.163345, 3.260547, 3.339745, 3.399427, 3.455237, 3.520573, 
    3.593602, 3.670627, 3.744157, 3.824578, 3.911094, 3.980254, 1.201496, 0, 
    0, 0, 0, 0, 0, 0.6170177, 1.128449, 0.9568997, 0.8341, 0.82, 0.8675321, 
    0.9335816, 0.6324267, 1.197786, 1.843359, 2.144587, 2.397808, 2.528991, 
    1.725902, 2.729962, 2.946909, 2.14741, 0.4180218, 0.1198749, 1.521936, 
    2.240292, 0.6613632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0.3775795, 3.774741, 5.63641, 4.88268, 4.070772, 
    7.156981, 3.488219, 0, 0.2589318, 3.247286, 4.551745, 4.088478, 3.801268, 
    3.650253, 3.560194, 3.405364, 3.090226, 2.404924, 0.6912987, 0, 2.040011, 
    2.2183, 2.191097, 2.199965, 2.266934, 2.369004, 2.45179, 2.503444, 
    2.524397, 2.516086, 2.488947, 2.466696, 2.447392, 2.426936, 2.397689, 
    2.353049, 2.278965, 2.184286, 2.074009, 1.935393, 1.760983, 1.576371, 
    1.409152, 1.256272, 1.114782, 1.007185, 0.9379364, 0.892836, 0.8637353, 
    0.8508332,
  0.7616373, 0.7668834, 0.7765797, 0.7857264, 0.7946263, 0.8070263, 
    0.8238747, 0.8506267, 0.8851337, 0.9318919, 0.9958996, 1.071901, 
    1.148401, 1.226647, 1.305493, 1.37224, 1.413886, 1.431384, 1.420532, 
    1.383535, 1.336139, 1.280695, 1.216204, 1.153311, 1.101168, 1.054275, 
    1.012729, 0.9850318, 0.9869322, 1.018579, 1.097122, 1.197367, 1.298161, 
    1.401752, 1.519239, 1.640524, 1.753355, 1.854287, 1.944018, 2.013555, 
    2.083293, 2.14849, 2.217996, 2.282656, 2.342553, 0.7108659, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.032768, 2.918286, 3.074102, 3.016894, 
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    2.251004, 2.187032, 2.122676, 2.088907, 2.091326, 2.146982, 2.258746, 
    2.401578, 2.533777, 2.651292, 2.756043, 2.808678, 2.806443, 2.756592, 
    2.638179, 2.484403, 2.333011, 2.199463, 2.092008, 2.028645, 2.022427, 
    2.067657, 2.179886, 2.336875, 2.497075, 2.655535, 2.809051, 2.938767, 
    3.036577, 3.114782, 3.183382, 3.238969, 3.285982, 3.342071, 3.418195, 
    3.505515, 3.597636, 3.684159, 3.781129, 3.891725, 3.986971, 1.207034, 0, 
    0, 0, 0, 0, 0, 0.3427503, 1.08114, 1.040848, 0.8341, 0.8200001, 
    0.8493333, 0.8327765, 0, 0.8160604, 1.797657, 2.116365, 2.390269, 
    1.888862, 0.3884169, 1.464968, 2.568038, 0.7341782, 0, 0.1207405, 
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    3.608514, 1.754902, 0, 0.2608014, 3.238975, 4.497952, 4.085489, 3.859874, 
    3.764537, 3.712758, 3.602877, 3.326125, 3.052175, 1.464467, 0, 2.335323, 
    2.527234, 2.473632, 2.442109, 2.46759, 2.545159, 2.601171, 2.621828, 
    2.613181, 2.583419, 2.549084, 2.525241, 2.505896, 2.486348, 2.45585, 
    2.406457, 2.323224, 2.215948, 2.089434, 1.930374, 1.732966, 1.526656, 
    1.34159, 1.175069, 1.025488, 0.9143476, 0.843901, 0.7983032, 0.7698018, 
    0.7588966,
  0.7414336, 0.7456416, 0.752805, 0.7578742, 0.7619925, 0.7696106, 0.7832744, 
    0.8065357, 0.8348022, 0.8742713, 0.9319872, 1.004101, 1.078359, 1.155417, 
    1.233923, 1.300228, 1.342131, 1.359882, 1.348885, 1.30994, 1.260144, 
    1.202297, 1.133803, 1.067559, 1.012163, 0.962019, 0.9182726, 0.8893745, 
    0.8914235, 0.9242726, 1.006017, 1.108813, 1.21191, 1.319554, 1.442945, 
    1.572629, 1.694614, 1.805744, 1.905276, 1.981714, 2.057553, 2.123952, 
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    3.023834, 2.86687, 2.684702, 2.509119, 2.40791, 2.375561, 2.384742, 
    2.438187, 2.51509, 2.6333, 2.797291, 2.980708, 3.141452, 3.276671, 
    3.358009, 3.352691, 3.284023, 3.171958, 2.99494, 2.794739, 2.606718, 
    2.441435, 2.304351, 2.216405, 2.189202, 2.214845, 2.307092, 2.439345, 
    2.570901, 2.697212, 2.815676, 2.911187, 2.978889, 3.030134, 3.075471, 
    3.116986, 3.161482, 3.224866, 3.315437, 3.420701, 3.530365, 3.633729, 
    3.750734, 3.890777, 4.026381, 1.225297, 0, 0, 0, 0, 0, 0, 0, 0.4683196, 
    1.056001, 0.835146, 0.82, 0.8307859, 0.8403912, 0.5394461, 1.0884, 
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    2.81883, 2.750191, 2.732571, 2.783899, 2.812041, 2.801699, 2.764353, 
    2.712796, 2.667472, 2.636143, 2.611359, 2.587673, 2.554531, 2.501089, 
    2.410898, 2.292415, 2.151582, 1.977847, 1.764911, 1.544473, 1.348131, 
    1.172087, 1.015992, 0.9022919, 0.8308919, 0.7829486, 0.7516109, 0.739172,
  0.8028271, 0.8035327, 0.8035468, 0.7995127, 0.7941312, 0.7915524, 
    0.7964724, 0.8094015, 0.8267274, 0.854902, 0.9020271, 0.9653974, 
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    1.245907, 1.196351, 1.138747, 1.070241, 1.003537, 0.9458413, 0.8930457, 
    0.8467021, 0.8152104, 0.8148708, 0.8453313, 0.9259415, 1.027202, 
    1.129408, 1.239306, 1.367147, 1.504085, 1.63412, 1.754354, 1.863137, 
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    3.477059, 3.448921, 3.385292, 3.266726, 3.091461, 2.893639, 2.709505, 
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    3.58088, 3.773612, 3.928217, 3.992643, 3.946067, 3.807206, 3.623548, 
    3.376237, 3.118859, 2.886203, 2.682585, 2.507764, 2.387385, 2.332994, 
    2.334245, 2.400001, 2.50321, 2.605467, 2.701423, 2.78833, 2.854433, 
    2.897924, 2.928807, 2.960125, 2.998073, 3.047457, 3.12203, 3.230091, 
    3.356097, 3.486553, 3.6128, 3.75963, 3.939482, 4.130962, 1.265148, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.5600014, 0.8507427, 0.8309568, 0.8185608, 0.844597, 
    0.8709862, 1.049053, 1.06579, 0.9125713, 0, 0.6509326, 2.396315, 
    2.956238, 1.130725, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.042329, 3.409196, 3.916739, 3.880152, 3.896608, 3.878009, 3.694615, 
    3.521284, 1.728235, 1.118075, 1.573006, 2.06129, 3.214638, 3.120575, 
    3.059114, 3.089219, 3.085899, 3.044062, 2.976974, 2.900975, 2.839362, 
    2.793846, 2.756828, 2.722804, 2.682723, 2.62269, 2.526057, 2.398126, 
    2.249041, 2.068801, 1.850407, 1.625512, 1.426066, 1.247969, 1.090519, 
    0.9767193, 0.9050702, 0.8547726, 0.8205212, 0.8053204,
  0.9540626, 0.9509225, 0.9412473, 0.9259269, 0.9081582, 0.892141, 0.8831767, 
    0.8814065, 0.8852844, 0.9000136, 0.9318996, 0.9805885, 1.036672, 
    1.098352, 1.161732, 1.212813, 1.243541, 1.253262, 1.236876, 1.199329, 
    1.151826, 1.096272, 1.031165, 0.9673072, 0.9107978, 0.8591884, 0.8140767, 
    0.7817713, 0.7757835, 0.8009443, 0.8754088, 0.9704728, 1.067587, 
    1.174851, 1.301664, 1.439025, 1.573124, 1.701258, 1.818591, 1.909576, 
    1.996065, 2.063666, 2.119724, 2.179219, 2.241067, 0.6802701, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5524387, 2.826381, 3.792428, 
    3.748979, 3.111053, 2.599273, 3.334468, 3.11911, 2.922693, 2.805618, 
    2.777082, 2.847174, 3.06739, 3.301676, 3.567822, 3.86653, 4.15303, 
    4.377223, 4.549297, 4.617807, 4.536971, 4.32871, 4.075994, 3.759182, 
    3.440256, 3.159206, 2.911052, 2.692747, 2.535623, 2.450786, 2.424047, 
    2.461056, 2.535064, 2.608523, 2.676378, 2.735133, 2.777028, 2.80221, 
    2.820725, 2.848073, 2.890457, 2.951924, 3.044179, 3.175774, 3.329109, 
    3.486943, 3.648255, 3.845025, 4.085629, 4.328245, 2.973825, 0.2350397, 0, 
    1.312637, 2.58972, 2.136969, 0, 0, 0, 0.04362679, 0.4344606, 0.422713, 
    0.4095597, 0.8037157, 0.868537, 0.6696892, 0.215674, 0, 0.3819894, 
    1.962572, 1.814684, 1.434413, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.410616, 1.980626, 1.960595, 2.989355, 4.025699, 3.893288, 
    3.787947, 2.852683, 0.5850099, 0, 0.5229191, 2.689795, 3.5641, 3.457989, 
    3.458203, 3.413539, 3.33806, 3.239325, 3.137975, 3.055522, 2.990915, 
    2.934959, 2.884797, 2.832179, 2.7624, 2.656919, 2.520085, 2.366738, 
    2.186776, 1.972353, 1.752726, 1.558899, 1.387121, 1.236791, 1.129813, 
    1.062793, 1.015031, 0.9815288, 0.9639892,
  1.198423, 1.192474, 1.176027, 1.152182, 1.123695, 1.09591, 1.074028, 
    1.059999, 1.051024, 1.05011, 1.060612, 1.086468, 1.121224, 1.162628, 
    1.204588, 1.234395, 1.246445, 1.24029, 1.21322, 1.171336, 1.122793, 
    1.068293, 1.00574, 0.9456818, 0.8935231, 0.846613, 0.8065042, 0.7777447, 
    0.7694916, 0.7892532, 0.8568172, 0.9439861, 1.033304, 1.133121, 1.253186, 
    1.384799, 1.51661, 1.649456, 1.774889, 1.87208, 1.96332, 2.031816, 
    2.088107, 2.151944, 2.216285, 0.6730595, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.000197, 1.987389, 3.827068, 2.778629, 0.8995243, 
    2.995339, 3.33868, 3.132836, 3.002317, 2.97674, 3.094998, 3.398488, 
    3.709136, 4.049184, 4.413704, 4.738895, 4.979536, 5.15196, 5.20387, 
    5.075452, 4.804573, 4.487157, 4.102848, 3.724569, 3.396315, 3.105146, 
    2.845074, 2.650454, 2.53412, 2.479376, 2.488631, 2.535038, 2.58184, 
    2.623393, 2.657539, 2.680921, 2.695981, 2.711377, 2.743011, 2.797627, 
    2.877882, 2.99557, 3.160437, 3.351148, 3.547055, 3.758336, 4.027167, 
    4.348328, 4.661866, 4.943842, 3.027935, 2.94688, 4.422192, 5.81983, 
    4.955739, 0, 0, 0, 0, 0, 0, 0, 0.3954091, 0.5430285, 0.3128126, 0, 
    0.1260168, 1.66983, 1.988188, 0.4052002, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.023294, 3.549582, 4.092688, 4.044146, 
    4.041478, 2.683416, 0.209862, 0.6394442, 3.10133, 3.998355, 3.867068, 
    3.838622, 3.765503, 3.663342, 3.535995, 3.4094, 3.302952, 3.214359, 
    3.133618, 3.06162, 2.992159, 2.90974, 2.794561, 2.651769, 2.499711, 
    2.328039, 2.126956, 1.923068, 1.744581, 1.588145, 1.454157, 1.362073, 
    1.304703, 1.262742, 1.230389, 1.211932,
  1.50476, 1.501248, 1.48823, 1.465669, 1.435463, 1.404561, 1.377715, 
    1.357122, 1.338985, 1.319828, 1.302594, 1.297073, 1.301, 1.311927, 
    1.320462, 1.317546, 1.301317, 1.269333, 1.22433, 1.170765, 1.11698, 
    1.06039, 0.997893, 0.9402406, 0.8912358, 0.8481795, 0.8120214, 0.787911, 
    0.782452, 0.7983568, 0.8586241, 0.9366944, 1.017264, 1.10938, 1.222146, 
    1.346912, 1.473823, 1.605631, 1.737023, 1.838116, 1.933806, 2.006044, 
    2.067581, 2.13697, 2.205013, 0.6700533, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.883784, 1.439855, 0, 1.272177, 1.732828, 
    2.11868, 3.177684, 3.172274, 3.339604, 3.711074, 4.078782, 4.473451, 
    4.886773, 5.224928, 5.461656, 5.62278, 5.649029, 5.481116, 5.161654, 
    4.791096, 4.350794, 3.921591, 3.554511, 3.230122, 2.936338, 2.709546, 
    2.566245, 2.487691, 2.47264, 2.49394, 2.517688, 2.536532, 2.551069, 
    2.562937, 2.576533, 2.596765, 2.639632, 2.71448, 2.819867, 2.96969, 
    3.176692, 3.414479, 3.658465, 3.929379, 4.279599, 4.68179, 5.045492, 
    5.391348, 5.773563, 6.0898, 6.416404, 6.698387, 5.926781, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.1271022, 1.295729, 0.6766898, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.497506, 4.037818, 
    4.247384, 4.277761, 4.339609, 2.478734, 2.940791, 4.45197, 4.388971, 
    4.265573, 4.216158, 4.131924, 4.013057, 3.858371, 3.703737, 3.569902, 
    3.45217, 3.340296, 3.240712, 3.150911, 3.052698, 2.929063, 2.786453, 
    2.64143, 2.483444, 2.302092, 2.120883, 1.963479, 1.826729, 1.713229, 
    1.637294, 1.589324, 1.552911, 1.5239, 1.509688,
  1.865635, 1.869464, 1.868876, 1.855944, 1.832519, 1.806998, 1.783777, 
    1.76327, 1.740476, 1.703363, 1.65399, 1.610231, 1.575277, 1.546626, 
    1.512283, 1.466788, 1.413184, 1.346273, 1.274694, 1.203986, 1.140912, 
    1.078877, 1.013984, 0.956486, 0.9091833, 0.8685291, 0.835573, 0.8157644, 
    0.8139074, 0.8302504, 0.8835142, 0.952086, 1.022959, 1.107129, 1.212197, 
    1.33051, 1.45252, 1.580131, 1.708852, 1.812, 1.911792, 1.989529, 
    2.057414, 2.131355, 2.202, 0.6693, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.625124, 1.710204, 2.457848, 3.314796, 
    3.530402, 3.953006, 4.353752, 4.771332, 5.194321, 5.516935, 5.739122, 
    5.889894, 5.895139, 5.695043, 5.344045, 4.939851, 4.466349, 4.00803, 
    3.615473, 3.265973, 2.946322, 2.697561, 2.535396, 2.438679, 2.405063, 
    2.405604, 2.409794, 2.411177, 2.412249, 2.419651, 2.436839, 2.468008, 
    2.528711, 2.629548, 2.766122, 2.954129, 3.209462, 3.501285, 3.800154, 
    4.135405, 4.572052, 5.05933, 5.449708, 5.794008, 6.169622, 6.495542, 
    6.844938, 7.223579, 6.561597, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 2.182177, 4.449766, 4.530863, 4.636868, 2.527647, 3.065618, 4.828605, 
    4.788553, 4.688099, 4.621241, 4.523088, 4.382949, 4.199164, 4.013039, 
    3.847365, 3.69535, 3.546987, 3.414616, 3.300177, 3.183273, 3.058563, 
    2.921497, 2.788914, 2.649668, 2.494255, 2.342234, 2.211668, 2.099658, 
    2.010151, 1.951061, 1.913236, 1.883469, 1.860852, 1.85418,
  2.26005, 2.274372, 2.293171, 2.29807, 2.288879, 2.276192, 2.264857, 
    2.251681, 2.228028, 2.175362, 2.092788, 2.006443, 1.926853, 1.852514, 
    1.76769, 1.672115, 1.573328, 1.465776, 1.362699, 1.271303, 1.196083, 
    1.12715, 1.058062, 0.998768, 0.9513713, 0.9116713, 0.8801211, 0.8631169, 
    0.8641108, 0.8822596, 0.9298718, 0.9891426, 1.050911, 1.12668, 1.224296, 
    1.337258, 1.454221, 1.574693, 1.693617, 1.795923, 1.898021, 1.980861, 
    2.0543, 2.131942, 2.204239, 0.6700465, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9898466, 1.918033, 3.461576, 2.959223, 
    2.511985, 3.400214, 3.655277, 3.455254, 2.242695, 2.454632, 2.94398, 
    5.652695, 5.855845, 6.00085, 5.990477, 5.76897, 5.395472, 4.967028, 
    4.474517, 4.003743, 3.595373, 3.225516, 2.885362, 2.621542, 2.446516, 
    2.337637, 2.290964, 2.275795, 2.264874, 2.253599, 2.248207, 2.256251, 
    2.279884, 2.324503, 2.407099, 2.536531, 2.708145, 2.938195, 3.245672, 
    3.594686, 3.941945, 4.317262, 4.805384, 5.345814, 5.765604, 6.107714, 
    6.473645, 6.794799, 7.122306, 4.854115, 3.463983, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.2277105, 3.036549, 4.871564, 5.006627, 0.7729365, 
    3.455084, 5.246968, 5.227825, 5.140419, 5.048892, 4.925313, 4.762505, 
    4.551316, 4.332243, 4.132075, 3.94311, 3.755156, 3.586592, 3.44441, 
    3.307456, 3.188987, 3.061259, 2.94437, 2.828161, 2.702387, 2.582808, 
    2.482336, 2.397621, 2.332117, 2.289829, 2.262158, 2.240438, 2.226315, 
    2.229294,
  2.674973, 2.700149, 2.739603, 2.764707, 2.772069, 2.774883, 2.778048, 
    2.774827, 2.752225, 2.686254, 2.572526, 2.443425, 2.319028, 2.198487, 
    2.061211, 1.913534, 1.767745, 1.619491, 1.483673, 1.369628, 1.281509, 
    1.204232, 1.130044, 1.067105, 1.017562, 0.9764192, 0.9441231, 0.9276748, 
    0.9308207, 0.9497183, 0.9921806, 1.043149, 1.097367, 1.166629, 1.258341, 
    1.36665, 1.476671, 1.584957, 1.692686, 1.791447, 1.892754, 1.97865, 
    2.055693, 2.135242, 1.651204, 0.3370253, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9993193, 3.24218, 3.648257, 3.480598, 
    3.379722, 2.227403, 1.860573, 1.433513, 0, 0, 2.773694, 5.728594, 
    5.911142, 6.052704, 6.02929, 5.788985, 5.391798, 4.938609, 4.428802, 
    3.945188, 3.522725, 3.134569, 2.777752, 2.502228, 2.318595, 2.203552, 
    2.147471, 2.120844, 2.098917, 2.079431, 2.072033, 2.084368, 2.117888, 
    2.176601, 2.281449, 2.440128, 2.647146, 2.918897, 3.277875, 3.683441, 
    4.069448, 4.45762, 4.959135, 5.509456, 5.933347, 6.27255, 6.625332, 
    6.924185, 5.376952, 1.099553, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0.7543882, 3.905931, 5.374228, 1.097943, 5.58735, 5.636681, 
    5.63733, 5.566405, 5.461993, 5.318813, 5.14169, 4.909329, 4.659498, 
    4.423039, 4.196035, 3.966339, 3.758986, 3.587161, 3.429663, 3.31969, 
    3.211773, 3.117056, 3.026543, 2.933411, 2.848176, 2.778751, 2.721237, 
    2.677686, 2.650949, 2.632826, 2.618909, 2.61339, 2.626464,
  3.106896, 3.141523, 3.198632, 3.241889, 3.263755, 3.280025, 3.295698, 
    3.300479, 3.278429, 3.201106, 3.059322, 2.890967, 2.725466, 2.561024, 
    2.374145, 2.176418, 1.985679, 1.798774, 1.6307, 1.494455, 1.393686, 
    1.307955, 1.228568, 1.162572, 1.110726, 1.066932, 1.032589, 1.015092, 
    1.018495, 1.035905, 1.072074, 1.115443, 1.163556, 1.228116, 1.315277, 
    1.417846, 1.516133, 1.609521, 1.706047, 1.799214, 1.896229, 1.980988, 
    1.952727, 1.073813, 0.5479869, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.1996926, 1.978419, 1.900662, 3.153132, 3.599735, 
    3.455578, 3.366844, 2.229964, 0.1745196, 0, 0, 1.849868, 5.273043, 
    5.768462, 5.941211, 6.075833, 6.038716, 5.779911, 5.357374, 4.880927, 
    4.353421, 3.854162, 3.415804, 3.011738, 2.643859, 2.35888, 2.169143, 
    2.052543, 1.990803, 1.954974, 1.924942, 1.901895, 1.896483, 1.917853, 
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    3.762718, 4.191947, 4.600574, 5.115543, 5.677863, 6.112767, 6.467484, 
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    3.431991, 3.435159, 3.437287, 3.448117, 3.477505,
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    1.76389, 1.849146, 1.940355, 2.014311, 2.074141, 3.490803, 4.152069, 
    4.22582, 4.276579, 4.324166, 4.393443, 4.488784, 4.602849, 4.737195, 
    4.917023, 5.12327, 5.298751, 5.427388, 5.544668, 5.597395, 5.572579, 
    5.531719, 5.43527, 4.44934, 2.368123, 0.690814, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 2.141196,
  3.644789, 3.645496, 3.64277, 3.642568, 3.63949, 1.091771, 0.3607443, 
    3.604566, 5.321801, 7.024494, 3.568517, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 1.206788, 0, 0.7402578, 1.480516, 1.631364, 2.989, 2.989, 
    2.989, 1.505688, 0, 0, 0, 0, 0, 0, 0, 0.1461198, 1.458969, 1.455388, 
    1.448175, 2.720686, 2.836156, 2.800738, 2.761133, 2.717876, 2.672141, 
    2.633509, 2.595591, 0.2586299, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8464469, 
    2.350675, 2.487155, 2.505747, 2.527184, 2.543848, 2.567105, 2.602845, 
    2.652932, 2.714829, 2.791232, 2.877673, 2.968648, 0.2991328, 0, 0, 0, 0, 
    0, 0, 1.388724, 3.631301, 3.860376, 3.908297, 3.957597, 4.01939, 
    4.106077, 4.216942, 4.351246, 4.533647, 4.745698, 4.926418, 5.058099, 
    5.177597, 5.238196, 5.215441, 5.168899, 5.072792, 4.899161, 4.649969, 
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    0.7409409, 0, 1.455658, 2.880423, 2.849299, 2.812576, 2.772749, 2.729212, 
    2.690939, 1.723852, 0.131678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.161018, 
    1.296331, 1.306177, 2.223668, 2.619498, 2.627633, 2.644767, 2.675215, 
    2.715869, 2.768986, 2.833502, 2.902586, 1.603852, 1.4903, 1.522927, 
    1.554861, 1.58828, 1.609768, 1.62368, 1.631008, 3.291142, 3.502153, 
    3.534531, 3.573182, 3.625778, 3.702933, 3.808717, 3.940389, 4.119669, 
    4.327906, 4.514281, 4.663135, 4.797692, 4.873148, 4.865161, 4.831627, 
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    0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 2.394332, 3.382717, 3.327935, 3.283893, 5.612188, 6.203112, 
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    0.1509863, 1.509863, 2.249431, 2.989, 2.838014, 1.479137, 1.479137, 
    0.4437412, 0, 0, 0, 0, 0, 0, 0, 1.021194, 1.601929, 2.911665, 2.885341, 
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    0, 0, 0, 0, 0, 0, 0, 0.9271334, 2.496929, 2.631231, 2.643247, 2.6637, 
    2.691674, 2.730204, 2.78053, 2.832618, 2.891829, 2.950618, 3.002266, 
    3.051821, 3.104228, 3.135355, 3.155043, 3.162816, 3.169334, 3.182349, 
    3.202047, 3.231884, 3.27726, 3.344752, 3.441706, 3.564229, 3.730927, 
    3.925331, 4.113737, 4.281741, 4.434649, 4.528459, 4.539356, 4.525393, 
    4.473543, 4.372536, 4.229369, 4.047795, 3.651715, 1.787732, 0.8734284, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 3.077798, 3.415857, 3.378366, 5.778239, 6.739649, 6.630334, 6.541779, 
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    0.4531921, 0, 0, 0, 0, 0.1470941, 1.470199, 1.467231, 2.507207, 2.946684, 
    2.933556, 2.912623, 2.886791, 2.861989, 2.836588, 2.113955, 1.394228, 
    0.1390816, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.195928, 
    1.330768, 1.336025, 2.266088, 2.678016, 2.70466, 2.738162, 2.770979, 
    2.806121, 2.837522, 2.860724, 2.881472, 2.904375, 2.914419, 2.919683, 
    2.918947, 2.91761, 2.922775, 2.936489, 2.962096, 3.003313, 3.064042, 
    3.147877, 3.253435, 3.397625, 3.568223, 3.743659, 3.920713, 4.09112, 
    4.20203, 4.231142, 4.237492, 4.213596, 4.150555, 4.055219, 3.919901, 
    3.764699, 3.628823, 1.782806, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.2531364, 2.514597, 2.448271, 2.375713, 2.29267, 2.190386, 
    2.107244, 3.290619, 3.527797, 1.301788, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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  3.042024, 3.115035, 6.357798, 6.72889, 6.67479, 6.603899, 6.516092, 
    6.402754, 6.301654, 6.201842, 5.780372, 2.893086, 2.841084, 0.846171, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.448792, 1.962783, 
    1.821309, 1.686855, 0.4890768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7387561, 
    1.477512, 1.477512, 1.034258, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1477512, 1.930959, 2.989, 2.989, 
    2.841249, 1.511488, 0.7557439, 0, 0, 0, 0, 0, 0.2976471, 2.97512, 
    2.969713, 2.964306, 2.957794, 2.948431, 2.933645, 2.914651, 2.899644, 
    2.885074, 2.155659, 1.425471, 0.1421982, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.9429985, 1.353462, 1.36484, 1.376976, 1.388051, 
    2.623595, 2.7753, 2.783361, 2.789668, 2.797624, 2.799764, 2.800102, 
    2.798694, 2.795305, 2.794902, 2.801716, 2.820092, 2.851882, 2.900095, 
    2.963884, 3.044851, 3.156968, 3.293896, 3.438208, 3.596173, 3.755352, 
    3.861701, 3.904242, 3.925083, 3.923878, 3.897958, 3.866131, 3.809025, 
    3.760089, 3.735316, 2.87169, 2.079837, 2.033816, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 2.841233, 3.029716, 2.921905, 2.834164, 3.038005, 5.314451, 
    5.186036, 5.043636, 4.879147, 4.682926, 4.529408, 4.379713, 4.195344, 
    3.422808, 1.988636, 1.905145, 1.806776, 1.707271, 1.64212, 1.571778, 
    1.501388, 1.487596, 0.7417219, 0, 0, 0, 0, 1.034258, 1.329761, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  5.912431, 6.067047, 6.27414, 6.329247, 6.30456, 6.264101, 6.193804, 
    6.089527, 5.988761, 5.898158, 5.801521, 5.714576, 5.632644, 3.555331, 
    2.37271, 0, 0, 0, 0, 0, 0, 0, 0.2711598, 2.715155, 2.728889, 2.740893, 
    2.752996, 2.764754, 2.763716, 2.692826, 2.537511, 2.374044, 2.226979, 
    3.572614, 3.954941, 3.664345, 3.389529, 2.043905, 1.480585, 1.476584, 
    1.476584, 1.476584, 1.476584, 1.476584, 1.476584, 1.476584, 1.476584, 
    1.476584, 2.232792, 2.989, 2.989, 2.0923, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1512416, 1.512416, 
    1.512416, 1.512416, 1.361175, 0, 0, 0, 0, 0, 0, 0, 1.478228, 2.980418, 
    2.976211, 2.972004, 2.967246, 2.959836, 2.950163, 2.938719, 2.930795, 
    2.923234, 1.459163, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.9495782, 2.620165, 2.776725, 2.785603, 2.791007, 
    2.797518, 2.800468, 2.802115, 2.802008, 2.796819, 2.79049, 2.78991, 
    2.798447, 2.817801, 2.850024, 2.893915, 2.950777, 3.031869, 3.135971, 
    3.24749, 3.366777, 3.482161, 3.559848, 3.606956, 3.635131, 3.666548, 
    3.691815, 3.734378, 3.763235, 3.832199, 3.946257, 4.133974, 4.408659, 
    4.589633, 2.752749, 2.986513, 3.198491, 0.3248583, 0, 0, 0, 0, 1.066312, 
    3.510159, 3.406813, 6.207572, 6.276857, 6.067847, 5.897707, 5.789175, 
    5.718556, 5.601637, 5.467935, 5.311183, 5.134676, 5.006301, 4.885611, 
    4.693072, 4.429155, 4.203559, 4.015097, 3.802561, 3.584119, 3.42253, 
    3.242834, 3.055381, 3.01024, 2.240027, 1.477176, 1.476584, 1.476584, 
    1.476584, 2.535275, 1.508833, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.025309, 1.458651, 1.449611, 
    1.442744, 1.437607, 1.434247, 1.433704, 1.442497, 1.48103, 1.598405, 
    1.772246, 1.962191, 2.162511, 2.368808, 2.570313,
  5.487775, 5.646019, 3.618667, 5.932376, 5.920901, 5.888515, 5.835449, 
    5.755529, 5.675097, 5.601692, 5.515601, 5.438132, 5.380723, 5.3228, 
    4.969859, 2.519365, 2.52756, 2.548195, 2.581961, 2.617851, 2.64752, 
    2.674079, 2.978665, 5.508196, 5.541525, 5.56859, 5.574331, 5.573398, 
    5.549823, 5.395216, 5.080224, 4.749423, 4.451229, 4.170562, 3.877833, 
    3.600406, 3.34107, 3.115015, 2.996557, 2.989, 2.989, 2.989, 2.989, 2.989, 
    2.989, 2.989, 1.660995, 1.513439, 1.513438, 1.513438, 1.513438, 1.059407, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1475562, 1.475561, 1.475562, 1.475216, 
    2.835595, 2.984383, 2.981721, 2.978368, 2.974811, 2.969297, 2.962683, 
    2.956761, 2.951798, 2.5087, 0.7425418, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9732792, 1.539006, 2.795001, 
    2.806886, 2.813516, 2.819166, 2.822609, 2.825348, 2.826687, 2.822019, 
    2.813475, 2.810582, 2.81539, 2.829548, 2.855006, 2.890367, 2.935545, 
    3.001338, 3.087948, 3.178829, 3.2687, 3.353534, 3.422198, 3.479063, 
    3.524667, 3.603219, 3.685798, 3.785682, 3.880614, 4.038117, 4.242018, 
    4.48815, 4.798442, 5.251207, 5.729877, 6.181011, 6.586316, 3.837586, 
    3.661851, 3.755055, 3.79988, 3.774357, 4.765835, 7.175848, 6.979581, 
    6.773382, 6.534733, 6.343524, 6.187341, 6.084454, 6.017675, 5.911068, 
    5.786606, 5.638797, 5.47895, 5.368505, 5.267849, 5.07198, 4.779745, 
    4.522777, 4.290778, 2.407049, 3.761981, 3.529943, 3.279262, 3.018165, 
    2.947072, 2.933817, 2.928245, 2.939239, 2.955184, 2.969994, 2.98515, 
    0.2989, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.328005, 
    1.475561, 1.475562, 1.475562, 1.475117, 1.469786, 1.461986, 2.50094, 
    2.93246, 2.909667, 2.891868, 2.877913, 2.867263, 2.863348, 2.881001, 
    2.956088, 3.180408, 3.511723, 3.874007, 4.256947, 4.653072, 5.042609,
  5.149135, 5.299692, 3.208333, 5.593836, 5.595588, 5.565196, 5.521691, 
    5.456571, 5.386667, 5.319936, 5.237481, 5.160001, 5.100688, 5.052592, 
    5.001745, 4.969719, 4.979907, 5.014604, 5.07595, 5.144111, 5.202435, 
    5.254805, 5.307522, 5.356088, 5.394742, 5.424988, 5.414596, 5.391699, 
    5.348862, 5.194257, 4.899572, 4.590527, 4.310868, 4.044537, 3.76681, 
    3.522555, 3.296262, 3.099042, 2.995605, 2.989, 2.989, 2.989, 2.989, 
    2.989, 2.989, 1.956899, 0.151457, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4423291, 1.47443, 1.47443, 1.625887, 2.989, 2.989, 2.988645, 2.987899, 
    2.986193, 2.98474, 2.982577, 2.980366, 2.976755, 2.97244, 2.969178, 
    2.819363, 1.048494, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.2803933, 2.807981, 2.821426, 2.829626, 
    2.835277, 2.838833, 2.842433, 2.844978, 2.84242, 2.834061, 2.830906, 
    2.835797, 2.850579, 2.876662, 2.912345, 2.956775, 3.021099, 3.105414, 
    3.193465, 3.278006, 3.362518, 3.446603, 3.524315, 3.600216, 3.72067, 
    3.847862, 3.989882, 4.119461, 4.307038, 4.532277, 4.777864, 5.073915, 
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    3.406844, 3.679908, 3.948946, 4.223928,
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  3.403497, 3.458255, 3.546316, 3.59535, 3.608817, 3.612472, 3.618713, 
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  2.729165, 2.752764, 2.794876, 2.833978, 2.866639, 2.895364, 2.924966, 
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    2.008266,
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    0.6005399, 0.5973416, 0.5967954,
  0.6647831, 0.6700302, 0.6805327, 0.6991343, 0.7205352, 0.7527831, 
    0.7957006, 0.8397117, 0.8811724, 0.9222858, 0.959148, 0.9917558, 
    1.014516, 1.032377, 1.039638, 1.040934, 1.040934, 1.040934, 1.040934, 
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    1.031243, 1.029943, 1.028643, 1.027943, 1.027243, 1.026893, 1.026447, 
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    0.9120408, 0.8963375, 0.8864326, 0.8803748, 0.87806, 0.8823941, 
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    0.9625305, 0.9770932, 0.981156, 0.9782187, 0.9707384, 0.9560547, 
    0.9339695, 0.9024142, 0.8608424, 0.8204675, 0.7869039, 0.7589518, 
    0.7309477, 0.7007412, 0.6743833, 0.6515256, 0.6283239, 0.6077825, 
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    2.153192, 2.229797, 2.247944, 2.202936, 2.09822, 1.957752, 1.785084, 
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    0.7062998, 0.6906723, 0.680292, 0.6794507, 0.6914986, 0.7149367, 
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    1.483496, 1.618582, 1.753605, 1.857476, 1.884401, 1.825933, 1.701651, 
    1.535461, 1.352774, 1.150841, 0.9159473, 0.682533, 0.4830715, 0.3458986, 
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    1.075793, 1.084114, 1.1039, 1.141325, 1.203299, 1.292573, 1.408549, 
    1.524496, 1.613061, 1.67259, 1.696134, 1.662352, 1.576338, 1.453588, 
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    0.7529892, 0.7614933, 0.7804999, 0.8031659, 0.8317963, 0.8727431, 
    0.9264583, 0.9861313, 1.048263, 1.109808, 1.168801, 1.216476, 1.247328, 
    1.255746, 1.236666, 1.199955, 1.149228, 1.091787, 1.039085, 0.9875903, 
    0.9357603, 0.8876483, 0.8446179, 0.804922, 0.757202, 0.6977422, 0.634032, 
    0.5750574, 0.5199243, 0.4671862, 0.4247944, 0.3963464, 0.3762985, 
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    0.6080205, 0.6712874, 0.7318574, 0.7852788, 0.8248546, 0.8508006, 
    0.8395605, 0.8112413, 0.7780106, 0.7451155, 0.7144741, 0.6921262, 
    0.677279, 0.668379, 0.665379, 0.665279,
  0.7327636, 0.7376637, 0.7484637, 0.7672637, 0.7890157, 0.8184456, 
    0.8526582, 0.8867676, 0.9188818, 0.950996, 0.9780551, 1.000465, 1.014232, 
    1.022746, 1.023987, 1.024433, 1.024433, 1.024433, 1.024433, 1.024433, 
    1.024433, 1.024433, 1.024433, 1.024433, 1.024433, 1.024086, 1.023837, 
    1.022937, 1.022437, 1.021237, 1.020391, 1.019141, 1.017941, 1.016741, 
    1.015491, 1.014645, 1.013945, 1.013598, 1.012995, 1.012945, 1.012945, 
    1.012945, 1.013548, 1.015996, 1.020701, 1.025406, 1.027818, 1.027232, 
    1.024256, 1.019885, 1.011013, 1.000094, 0.9873701, 0.9721937, 0.9557613, 
    0.9413244, 0.9309251, 0.9226149, 0.9169527, 0.916833, 0.9221142, 
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    0.9083709, 0.9212708, 0.9405788, 0.9654976, 0.9934684, 1.012945, 
    1.021921, 1.023192, 1.020763, 1.011288, 0.9930038, 0.9607031, 0.9145882, 
    0.8665016, 0.8274212, 0.7953409, 0.7653795, 0.7331197, 0.7043582, 
    0.6794496, 0.6564023, 0.6378598, 0.623622, 0.6121842, 0.6035409, 
    0.6012354, 0.605126, 0.6121638, 0.6245441, 0.6444189, 0.6697953, 
    0.7046189, 0.7594921, 0.8389677, 0.9379528, 1.063191, 1.228337, 1.418488, 
    1.613193, 1.81175, 2.005813, 2.154067, 2.232224, 2.250529, 2.203823, 
    2.096568, 1.953213, 1.776951, 1.569841, 1.368931, 1.206173, 1.072816, 
    0.9656134, 0.8898646, 0.8449213, 0.8171307, 0.7993024, 0.7874268, 
    0.7770078, 0.7651889, 0.7516251, 0.7389134, 0.7291377, 0.7232039, 
    0.7246637, 0.7352039, 0.7548858, 0.7854039, 0.8340551, 0.900304, 
    0.9799567, 1.077815, 1.200728, 1.332299, 1.461079, 1.592312, 1.721542, 
    1.819675, 1.84302, 1.782723, 1.653414, 1.480247, 1.292996, 1.09002, 
    0.8597497, 0.6353363, 0.4461299, 0.3164126, 0.2399418, 0.2014819, 
    0.1817717, 0.1711394, 0.1657134, 0.1705976, 0.1828779, 0.2007582, 
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    0.3588188, 0.3656716, 0.3658196, 0.3640228, 0.3633188, 0.3633094, 
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    0.3765117, 0.3803653, 0.384722, 0.3876306, 0.3840353, 0.3702708, 
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    0.7785268, 0.8832654, 0.9581418, 1.009907, 1.043763, 1.060762, 1.069157, 
    1.073, 1.081572, 1.103825, 1.151787, 1.226344, 1.328305, 1.433772, 
    1.515402, 1.570436, 1.592581, 1.562745, 1.484925, 1.373164, 1.233012, 
    1.089676, 0.9691103, 0.8740811, 0.8015473, 0.7566055, 0.7354056, 
    0.7275055, 0.736052, 0.7561039, 0.7821654, 0.8173378, 0.8689771, 
    0.9371787, 1.012079, 1.090832, 1.174666, 1.256305, 1.320866, 1.359831, 
    1.367507, 1.338508, 1.28826, 1.222969, 1.148221, 1.073091, 1.000516, 
    0.9335732, 0.8766125, 0.8317772, 0.7957519, 0.7551795, 0.7042583, 
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    0.8774157, 0.8811259, 0.864085, 0.8387283, 0.8087968, 0.7793983, 
    0.7577518, 0.7435038, 0.7348558, 0.7323093, 0.7322598,
  0.7987456, 0.8039983, 0.8145464, 0.8337494, 0.8537343, 0.8761507, 
    0.9010663, 0.9253307, 0.9480945, 0.9708582, 0.9880226, 1.000838, 
    1.005955, 1.00794, 1.007939, 1.00794, 1.00794, 1.00794, 1.007939, 
    1.00794, 1.00794, 1.00794, 1.007939, 1.00794, 1.00794, 1.00794, 1.00784, 
    1.00694, 1.006691, 1.005743, 1.00494, 1.004143, 1.003195, 1.002247, 
    1.00145, 1.000798, 1.000199, 0.9999471, 0.9995005, 0.9994509, 0.9994509, 
    0.9994509, 1.000451, 1.002651, 1.007699, 1.0131, 1.017805, 1.020416, 
    1.021977, 1.022839, 1.020965, 1.017341, 1.011316, 1.002491, 0.9916164, 
    0.9805796, 0.9708841, 0.961536, 0.9536811, 0.9486127, 0.9490945, 
    0.9509763, 0.953004, 0.9544942, 0.9555377, 0.9551866, 0.9529881, 
    0.9496439, 0.9440491, 0.9349544, 0.925707, 0.9191604, 0.9163085, 
    0.917304, 0.9238995, 0.9370514, 0.9588123, 0.9886312, 1.02311, 1.050898, 
    1.067429, 1.075209, 1.079388, 1.076867, 1.061776, 1.029527, 0.9789074, 
    0.9230839, 0.8754483, 0.8341076, 0.7974179, 0.7600388, 0.7283275, 
    0.702932, 0.6814411, 0.6656043, 0.6543652, 0.6452209, 0.6383781, 0.63563, 
    0.636869, 0.6409081, 0.6480373, 0.661765, 0.6807897, 0.7085617, 
    0.7564346, 0.8289554, 0.9224281, 1.043206, 1.205337, 1.393622, 1.587612, 
    1.786155, 1.981603, 2.130756, 2.210108, 2.229613, 2.183271, 2.07663, 
    1.933387, 1.756543, 1.548345, 1.346749, 1.183402, 1.049454, 0.9417025, 
    0.8666566, 0.8229093, 0.7970146, 0.7837786, 0.777699, 0.7747254, 
    0.7710572, 0.7665912, 0.76252, 0.7588426, 0.7569073, 0.7598088, 
    0.7672952, 0.7803124, 0.8010189, 0.8359119, 0.8870972, 0.9530894, 
    1.039039, 1.151748, 1.275971, 1.400457, 1.528449, 1.654897, 1.749839, 
    1.773446, 1.715511, 1.585716, 1.411322, 1.228002, 1.03173, 0.8098652, 
    0.5955564, 0.4179018, 0.2965839, 0.2281164, 0.1999053, 0.1897897, 
    0.1856214, 0.1877554, 0.2010864, 0.2211663, 0.2468461, 0.2792267, 
    0.3119073, 0.3430391, 0.3731023, 0.4038023, 0.4272023, 0.4393023, 
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    0.4542534, 0.4588489, 0.4626474, 0.4572796, 0.437196, 0.4083537, 
    0.381606, 0.3606134, 0.3424154, 0.328761, 0.3207035, 0.3219018, 
    0.3385158, 0.3847916, 0.4505239, 0.5263149, 0.6171637, 0.7342315, 
    0.8491716, 0.9334168, 0.9921042, 1.031238, 1.051665, 1.061026, 1.063725, 
    1.065198, 1.073034, 1.104597, 1.161354, 1.246818, 1.337991, 1.411047, 
    1.461376, 1.481264, 1.454726, 1.386821, 1.288485, 1.164713, 1.039891, 
    0.9328602, 0.8443393, 0.7734362, 0.7282768, 0.7071272, 0.7003355, 
    0.708637, 0.7296927, 0.7591574, 0.8005328, 0.8617172, 0.942664, 1.029809, 
    1.122211, 1.22462, 1.325733, 1.404783, 1.44916, 1.455069, 1.417652, 
    1.356516, 1.280676, 1.192924, 1.101225, 1.013079, 0.9350867, 0.8739655, 
    0.8300587, 0.798267, 0.7636859, 0.7191567, 0.6681252, 0.6180907, 
    0.5683982, 0.5181013, 0.4759982, 0.4460945, 0.4242381, 0.4086328, 
    0.4016244, 0.401068, 0.4207957, 0.4676594, 0.5281428, 0.5949773, 
    0.6618118, 0.7308202, 0.7948894, 0.8457595, 0.8899821, 0.9071259, 
    0.9042262, 0.8891625, 0.8660461, 0.8411283, 0.8208855, 0.807238, 
    0.7988381, 0.7971914, 0.797393,
  0.8627287, 0.8683288, 0.8787295, 0.8941494, 0.9081706, 0.922192, 0.9375052, 
    0.9520186, 0.9657881, 0.9795576, 0.9870213, 0.9915944, 0.9919419, 
    0.9919419, 0.9919419, 0.9919419, 0.9919419, 0.9919419, 0.9919419, 
    0.9919419, 0.9919419, 0.9919419, 0.9919419, 0.9919419, 0.9919419, 
    0.9919419, 0.9918923, 0.9912944, 0.9909419, 0.9905944, 0.9899485, 
    0.9892966, 0.9886974, 0.9880981, 0.9878995, 0.9873017, 0.986701, 
    0.9864528, 0.9864528, 0.9864528, 0.9864528, 0.9864528, 0.9874528, 
    0.9896528, 0.9944528, 0.9999528, 1.005403, 1.010008, 1.013712, 1.016716, 
    1.018871, 1.019326, 1.01723, 1.012334, 1.005339, 0.9962402, 0.987241, 
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    0.9584365, 0.9594927, 0.9598488, 0.9594101, 0.9577166, 0.9540254, 
    0.9468341, 0.9391932, 0.9336472, 0.9305472, 0.9305947, 0.9360407, 
    0.9501458, 0.9750581, 1.010833, 1.053766, 1.091805, 1.118448, 1.136343, 
    1.147918, 1.151133, 1.138542, 1.106342, 1.049818, 0.9850252, 0.9264297, 
    0.8730818, 0.8230734, 0.7801107, 0.7463063, 0.7212545, 0.7019114, 
    0.6886675, 0.6800763, 0.6728849, 0.6677404, 0.6654418, 0.6655944, 
    0.6674893, 0.6708317, 0.6781063, 0.6902809, 0.7105029, 0.7498674, 
    0.8133296, 0.897891, 1.009748, 1.163304, 1.344014, 1.531979, 1.72555, 
    1.917124, 2.06476, 2.143907, 2.165669, 2.123188, 2.021516, 1.882994, 
    1.711225, 1.50816, 1.310736, 1.150858, 1.019323, 0.91364, 0.8399458, 
    0.7971501, 0.772907, 0.7624136, 0.7610281, 0.7636937, 0.7670644, 
    0.7709928, 0.7743189, 0.7757845, 0.77654, 0.7780787, 0.7807569, 
    0.7849746, 0.7944347, 0.8141794, 0.8482674, 0.9000195, 0.9738292, 
    1.076496, 1.195031, 1.316673, 1.443221, 1.569269, 1.663018, 1.688173, 
    1.634238, 1.506448, 1.337582, 1.162764, 0.9746463, 0.7624834, 0.5594254, 
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  1.191582, 1.236388, 1.334048, 1.435059, 1.52662, 1.623081, 1.721793, 
    1.807456, 1.813162, 1.722603, 1.568937, 1.39057, 1.224354, 1.058487, 
    0.8758683, 0.706648, 0.5722795, 0.5131688, 0.4932141, 0.4778608, 
    0.4662579, 0.4567558, 0.4482035, 0.4424516, 0.4392509, 0.4378006, 
    0.4370501, 0.437, 0.437, 0.437, 0.437, 0.437, 0.437, 0.437, 0.437, 0.437, 
    0.437, 0.437, 0.43705, 0.4379508, 0.4400018, 0.4431032, 0.4485053, 
    0.4549575, 0.4630105, 0.4724644, 0.4840187, 0.4960233, 0.5072772, 
    0.5178319, 0.5297381, 0.5454958, 0.5653029, 0.5858092, 0.6112655, 
    0.6401214, 0.6680766, 0.6974318, 0.7324364, 0.7718886, 0.8075901, 
    0.8432914, 0.8808424, 0.9141437, 0.9435941, 0.9793445, 1.025596, 
    1.079298, 1.1341, 1.194853, 1.270157, 1.361514, 1.461622, 1.572581, 
    1.696393, 1.818056, 1.926415, 2.025316, 2.098961, 2.153655, 2.194649, 
    2.23109, 2.262476, 1.928539, 0.5541014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.823909, 1.130463, 
    1.063913, 1.003513, 0.9459122, 0.864264, 0.7786155, 0.7002661, 0.6310158, 
    0.5687147, 0.5257633, 0.5037626, 0.4947123, 0.4959135, 0.5043651, 
    0.5162672, 0.5306197, 0.5487227, 0.569776, 0.5925298, 0.6215852, 
    0.6613921, 0.7057995, 0.7430556, 0.7771603, 0.8187153, 0.8729689, 
    0.9445725, 1.029826, 1.122778, 1.21198, 1.29683, 1.391828, 1.505975, 
    1.627523, 1.73982, 1.837767, 1.930564, 2.001008, 2.052553, 2.109349, 
    1.100242, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3870469, 1.341044, 1.598972, 1.609624, 1.586779, 1.549583, 0.7674699, 
    0, 0.6637772, 1.280306, 1.191007, 1.109656, 1.048803, 0.986903, 
    0.9189532, 0.8573529, 0.807552, 0.7665016, 0.7337003, 0.7117995, 
    0.6987988, 0.6899981, 0.6836974, 0.6800972, 0.6790468, 0.6790468, 
    0.6790468, 0.6790468, 0.6790468, 0.6790468, 0.6790468, 0.6790468, 
    0.6790468, 0.6790468, 0.6790468, 0.6787468, 0.6767964, 0.6734462, 
    0.6679456, 0.6604447, 0.6517935, 0.6413928, 0.6284415, 0.6139396, 
    0.6000375, 0.5878856, 0.5761839, 0.5665817, 0.5592795, 0.5537278, 
    0.5507752, 0.5517729, 0.5555205, 0.561368, 0.5703653, 0.5844128, 
    0.6017602, 0.6233085, 0.6512571, 0.6836061, 0.717255, 0.7526543, 
    0.7888524, 0.8219008, 0.8474994, 0.8685476, 0.8846464, 0.758903, 
    0.2230104, 0, 0.04184887, 0.2929421, 0, 0, 0, 0, 0, 0.229518, 0.6222882, 
    0.6553, 0.656, 0.1968, 0, 0, 0.3312497, 0.6631994, 0.6634994, 0.6634994, 
    0.6637497, 0.664, 0.6646006, 0.6667517, 0.6710035, 0.6780553, 0.6904082, 
    0.7097116, 0.7345158, 0.7649208, 0.8048763, 0.8506324, 0.896538, 
    0.944894, 0.9968503, 1.045706, 1.085811, 1.119266, 1.14812, 1.169322, 
    1.180074, 1.179275, 1.167375, 1.152075,
  1.329573, 1.384179, 1.50059, 1.621201, 1.731612, 1.847623, 1.968835, 
    2.077398, 2.096908, 1.995655, 1.815791, 1.608676, 1.414861, 1.220345, 
    1.005277, 0.8022093, 0.6355413, 0.5525253, 0.5219181, 0.5003644, 
    0.4832612, 0.4689579, 0.4562055, 0.4470035, 0.4417519, 0.4389507, 
    0.4375505, 0.437, 0.437, 0.437, 0.437, 0.437, 0.437, 0.437, 0.437, 0.437, 
    0.437, 0.4373504, 0.4381011, 0.440402, 0.4447535, 0.4508555, 0.4606082, 
    0.4726622, 0.4865158, 0.5031701, 0.5235255, 0.544481, 0.5637861, 
    0.583792, 0.6068484, 0.6350048, 0.6663107, 0.6972662, 0.7331717, 
    0.771076, 0.80708, 0.8441335, 0.885286, 0.928638, 0.9673401, 1.006042, 
    1.046795, 1.082596, 1.113597, 1.150548, 1.198599, 1.25485, 1.313102, 
    1.378004, 1.459906, 1.561061, 1.672867, 1.800075, 1.943986, 2.086397, 
    2.211907, 2.313259, 2.380306, 2.427503, 2.461151, 2.484996, 2.494385, 
    1.742387, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.8379068, 1.150059, 1.084059, 1.02326, 
    0.9659604, 0.8868116, 0.8043635, 0.7285158, 0.6600169, 0.5971173, 
    0.5524667, 0.5295163, 0.5205667, 0.523918, 0.5352696, 0.551272, 
    0.5700745, 0.5932773, 0.6202807, 0.6495343, 0.687539, 0.7384946, 
    0.7948508, 0.842056, 0.8847108, 0.9340648, 0.994318, 1.07107, 1.161122, 
    1.257624, 1.347823, 1.431322, 1.522519, 1.631016, 1.747313, 1.85456, 
    1.947107, 2.035555, 2.097201, 2.141547, 2.191494, 2.024487, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.409445, 1.383885, 
    1.640074, 1.652875, 1.637528, 1.607482, 1.413183, 0, 0.7105256, 1.376603, 
    1.290806, 1.209256, 1.145055, 1.082605, 1.015405, 0.9535555, 0.9030555, 
    0.8613051, 0.8267544, 0.8033535, 0.7888024, 0.7788018, 0.7717016, 
    0.7674511, 0.7660511, 0.7660512, 0.7660512, 0.7660511, 0.7660511, 
    0.7660512, 0.7660512, 0.7660511, 0.7660511, 0.7660512, 0.7660512, 
    0.7657511, 0.7635511, 0.7592504, 0.75285, 0.7436489, 0.7335484, 
    0.7213471, 0.7058957, 0.6878936, 0.6702916, 0.6547896, 0.6396375, 
    0.6261855, 0.6150332, 0.6056306, 0.5982782, 0.5947254, 0.5940229, 
    0.5950699, 0.5993173, 0.608214, 0.6210114, 0.6387088, 0.6633066, 
    0.6930046, 0.7245032, 0.7584524, 0.7928521, 0.8238013, 0.847, 0.8652987, 
    0.8790472, 0.8852953, 0.6622355, 0.4339215, 0.4634628, 0.6976722, 
    0.1979651, 0, 0, 0, 0, 0.4588504, 0.65505, 0.6553, 0.656, 0.1968, 0, 
    0.09925787, 0.4964298, 0.6627, 0.663, 0.6631502, 0.6640006, 0.6652013, 
    0.6676027, 0.6720042, 0.6792557, 0.690008, 0.7079614, 0.7338656, 
    0.7657694, 0.8050243, 0.8544794, 0.910535, 0.9660403, 1.023995, 1.08625, 
    1.144155, 1.191808, 1.231761, 1.266464, 1.291566, 1.304817, 1.304767, 
    1.293217, 1.277066,
  1.460564, 1.52567, 1.66263, 1.804791, 1.935602, 2.072713, 2.217825, 
    2.350288, 2.388648, 2.281745, 2.077183, 1.84307, 1.622357, 1.399192, 
    1.152627, 0.9162601, 0.7175443, 0.6059804, 0.5625743, 0.534521, 
    0.5120187, 0.4926666, 0.4762151, 0.4637637, 0.4560126, 0.4517622, 
    0.4500121, 0.4490121, 0.4490121, 0.4490121, 0.4490121, 0.4490121, 
    0.4490121, 0.4490121, 0.4490121, 0.4490121, 0.4490121, 0.4497121, 
    0.4511622, 0.4548627, 0.4615136, 0.4713155, 0.4862181, 0.5049712, 
    0.5260252, 0.5505791, 0.5806839, 0.6125898, 0.6412946, 0.6717497, 
    0.7063053, 0.7454105, 0.7863147, 0.826519, 0.871573, 0.9172268, 
    0.9595796, 1.002282, 1.048235, 1.095537, 1.138339, 1.181492, 1.226744, 
    1.266496, 1.300598, 1.339249, 1.3891, 1.447301, 1.507602, 1.575253, 
    1.661154, 1.769657, 1.891362, 2.033019, 2.195077, 2.356586, 2.494139, 
    2.594586, 2.659086, 2.703186, 2.734886, 2.750482, 2.600532, 0.9101322, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4216748, 1.104646, 1.100858, 1.040759, 0.9845091, 
    0.9079106, 0.8295629, 0.7587659, 0.6935682, 0.6320191, 0.5871695, 
    0.5637694, 0.55577, 0.5615213, 0.5768238, 0.5975262, 0.6210286, 
    0.6493312, 0.6824342, 0.7182875, 0.7639409, 0.8249958, 0.8916004, 
    0.9478046, 0.9984082, 1.054511, 1.120364, 1.201316, 1.294517, 1.392467, 
    1.481717, 1.561314, 1.64546, 1.745504, 1.853499, 1.954045, 2.040241, 
    2.121886, 2.175382, 2.212277, 2.255824, 2.19854, 0.8383937, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8315136, 1.671427, 
    1.687125, 1.700175, 1.690777, 1.66668, 1.556664, 0.8164216, 1.158928, 
    1.474149, 1.395003, 1.315605, 1.250305, 1.188156, 1.122757, 1.061207, 
    1.010807, 0.9684569, 0.9331568, 0.9080559, 0.8920555, 0.8809549, 
    0.8732044, 0.8684544, 0.8668042, 0.8665539, 0.8665539, 0.866554, 
    0.8665539, 0.8665539, 0.8665539, 0.866554, 0.8665539, 0.8665539, 
    0.8665539, 0.8662539, 0.8638036, 0.8585534, 0.8512529, 0.8403521, 
    0.8288012, 0.8144501, 0.7962989, 0.7746471, 0.7535453, 0.7341933, 
    0.7146408, 0.6966382, 0.6810358, 0.6668333, 0.6536797, 0.6432253, 
    0.6365217, 0.6315684, 0.6297647, 0.6325115, 0.6407593, 0.6542575, 
    0.6753561, 0.7025554, 0.7320045, 0.7639033, 0.7973025, 0.8267018, 
    0.8472502, 0.8628988, 0.873547, 0.8766957, 0.8729945, 0.8601933, 
    0.835493, 0.8030431, 0.3922467, 0, 0, 0, 0, 0.2293687, 0.6222669, 0.6553, 
    0.656, 0.4269817, 0.06601644, 0.4306839, 0.663502, 0.6655529, 0.6669039, 
    0.6674542, 0.6695051, 0.6726062, 0.6776076, 0.684759, 0.6952608, 
    0.710313, 0.7345161, 0.7675195, 0.8065231, 0.8542771, 0.9130317, 
    0.9787863, 1.043291, 1.109544, 1.180148, 1.245001, 1.297803, 1.342204, 
    1.380405, 1.408007, 1.422557, 1.423107, 1.411207, 1.394557,
  1.582054, 1.658009, 1.816669, 1.98168, 2.134591, 2.294151, 2.464363, 
    2.622776, 2.681135, 2.570434, 2.343575, 2.084564, 1.839353, 1.593445, 
    1.324989, 1.065683, 0.8465788, 0.7184763, 0.6722293, 0.6463342, 
    0.6268393, 0.6108443, 0.5946959, 0.5803955, 0.5703443, 0.5630919, 
    0.5587897, 0.5575895, 0.5573393, 0.557089, 0.5514338, 0.5423254, 
    0.5335672, 0.5255098, 0.5196043, 0.5258601, 0.533317, 0.5418242, 
    0.5412223, 0.5455223, 0.554824, 0.5683256, 0.5881778, 0.6083763, 
    0.6225663, 0.639906, 0.6644465, 0.7046987, 0.7420524, 0.7818564, 
    0.8271611, 0.875515, 0.9245687, 0.972572, 1.025476, 1.077578, 1.12508, 
    1.172232, 1.222684, 1.274236, 1.321838, 1.36979, 1.419843, 1.464895, 
    1.502096, 1.542798, 1.594148, 1.653798, 1.714849, 1.784299, 1.873201, 
    1.986302, 2.116105, 2.26936, 2.446566, 2.62097, 2.758117, 2.855016, 
    2.919166, 2.964767, 2.998119, 3.009769, 1.447098, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5817153, 1.114805, 1.056506, 1.001357, 0.9293602, 0.8565632, 0.7920163, 
    0.7316686, 0.6725199, 0.6293212, 0.606772, 0.6003229, 0.6091747, 
    0.6293769, 0.654779, 0.6836818, 0.7173343, 0.7560868, 0.7985398, 
    0.8507929, 0.9203964, 0.9951997, 1.059303, 1.116056, 1.177908, 1.24826, 
    1.332561, 1.427712, 1.525862, 1.61301, 1.686056, 1.760152, 1.847044, 
    1.942137, 2.032281, 2.109476, 2.17992, 2.222765, 2.251261, 2.288157, 
    2.344606, 1.679654, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.860014, 1.726677, 1.739125, 1.751024, 1.746026, 1.727028, 
    1.703482, 1.670286, 1.626791, 1.571745, 1.5013, 1.427053, 1.362553, 
    1.301904, 1.239206, 1.179507, 1.129808, 1.087458, 1.052058, 1.025758, 
    1.008557, 0.9966067, 0.9878061, 0.982806, 0.9808059, 0.9805561, 
    0.9805561, 0.9805562, 0.9805561, 0.9805561, 0.9805561, 0.9805562, 
    0.9805561, 0.9805561, 0.9805561, 0.980106, 0.9773059, 0.9717058, 
    0.9628548, 0.9509045, 0.9373035, 0.9209026, 0.899751, 0.8743992, 
    0.8497975, 0.8258952, 0.8010926, 0.7772897, 0.7565371, 0.7364839, 
    0.7152297, 0.6970767, 0.6835237, 0.67137, 0.6622666, 0.6583134, 
    0.6620111, 0.6716592, 0.6903583, 0.7156071, 0.7427558, 0.7720044, 
    0.8037036, 0.830452, 0.8480005, 0.8602987, 0.8675972, 0.8679458, 
    0.8614944, 0.8469939, 0.8220441, 0.7904947, 0.3864977, 0, 0, 0, 
    0.1646526, 0.3282542, 0.6222803, 0.6553, 0.656, 0.6567, 0.1320501, 
    0.6645518, 0.6692535, 0.6739551, 0.6773561, 0.6794072, 0.6835083, 
    0.6893598, 0.6976116, 0.7080132, 0.7217646, 0.7411166, 0.7715194, 
    0.8113226, 0.8575259, 0.912479, 0.9799328, 1.053736, 1.125539, 1.198041, 
    1.274544, 1.343895, 1.399796, 1.446597, 1.486397, 1.515147, 1.530047, 
    1.530597, 1.518297, 1.502197,
  1.69855, 1.785705, 1.966764, 2.155725, 2.331584, 2.515145, 2.711906, 
    2.897268, 2.973874, 2.861474, 2.616968, 2.337561, 2.075106, 1.815802, 
    1.535547, 1.265143, 1.036339, 0.9034371, 0.8619384, 0.8452416, 0.8340942, 
    0.8236442, 0.8081433, 0.7924424, 0.7795912, 0.7677896, 0.7590379, 
    0.756587, 0.7563372, 0.7560874, 0.7437865, 0.7242854, 0.7053342, 
    0.6891841, 0.6818379, 0.7013439, 0.7230996, 0.7462555, 0.7511619, 
    0.7561125, 0.7633592, 0.7744557, 0.7898999, 0.7984915, 0.7913325, 
    0.7876741, 0.7920157, 0.8263085, 0.8675585, 0.9147611, 0.9690644, 
    1.025318, 1.08157, 1.136423, 1.196326, 1.253778, 1.30608, 1.357332, 
    1.412184, 1.468286, 1.520087, 1.572589, 1.627892, 1.677994, 1.717595, 
    1.759995, 1.811595, 1.870794, 1.931844, 2.001643, 2.091743, 2.207044, 
    2.341845, 2.503248, 2.692102, 2.874655, 3.006104, 3.101853, 3.168756, 
    3.219558, 3.260113, 3.276518, 0.3277119, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1139003, 
    1.125204, 1.070005, 1.017257, 0.9513594, 0.8858628, 0.8287663, 0.774119, 
    0.7189711, 0.6789227, 0.658774, 0.6550755, 0.6673267, 0.692579, 0.723782, 
    0.7595353, 0.800239, 0.8449417, 0.8932939, 0.9521467, 1.028399, 1.109702, 
    1.179303, 1.240155, 1.304404, 1.376704, 1.462555, 1.558905, 1.656104, 
    1.738351, 1.803048, 1.864942, 1.935585, 2.014227, 2.08977, 2.153413, 
    2.210007, 2.240702, 2.259747, 2.289294, 2.341792, 1.677194, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8877608, 1.780071, 
    1.78917, 1.799319, 1.796269, 1.78167, 1.765073, 1.740526, 1.706781, 
    1.662185, 1.602641, 1.536595, 1.475797, 1.418849, 1.360202, 1.304103, 
    1.256555, 1.215656, 1.181056, 1.155107, 1.137557, 1.125257, 1.115807, 
    1.110307, 1.108307, 1.108057, 1.108057, 1.108057, 1.108057, 1.108057, 
    1.108057, 1.108057, 1.108057, 1.108057, 1.108057, 1.107457, 1.104307, 
    1.098356, 1.087956, 1.074955, 1.059304, 1.040854, 1.016302, 0.9873508, 
    0.9585488, 0.9297467, 0.899044, 0.8684911, 0.8405373, 0.8129339, 
    0.7842313, 0.7589281, 0.7387753, 0.720023, 0.70382, 0.6936178, 0.6935166, 
    0.700416, 0.7153136, 0.7360609, 0.7585081, 0.7834056, 0.8112031, 
    0.8340514, 0.8479995, 0.8566981, 0.8605967, 0.8578452, 0.8492447, 
    0.8336442, 0.8091445, 0.7794455, 0.5656539, 0.3613062, 0.3498965, 
    0.3400382, 0.4963919, 0.6559, 0.655, 0.6553, 0.656, 0.6588018, 
    0.09922206, 0.4367053, 0.6842595, 0.6925611, 0.6988126, 0.7028633, 
    0.5266094, 0.6088729, 0.7292162, 0.7426172, 0.7592685, 0.7829202, 
    0.8190725, 0.8653252, 0.9177774, 0.9789799, 1.053783, 1.133585, 1.210536, 
    1.287138, 1.366939, 1.438339, 1.495539, 1.542939, 1.582889, 1.611488, 
    1.626038, 1.626238, 1.614339, 1.60084,
  1.817046, 1.9154, 2.110352, 2.312503, 2.501805, 2.699506, 2.920864, 
    3.131573, 3.219576, 3.105976, 2.853575, 2.572831, 2.312087, 2.055192, 
    1.776247, 1.497745, 1.260592, 1.124591, 1.084941, 1.071141, 1.06184, 
    1.049738, 1.032088, 1.013386, 0.9968344, 0.9813331, 0.9686316, 0.9642309, 
    0.9645812, 0.964231, 0.9507307, 0.9291801, 0.9080797, 0.8939812, 
    0.8969858, 0.930291, 0.9658464, 1.002802, 1.022457, 1.03191, 1.033108, 
    1.036055, 1.03705, 1.025542, 0.9988348, 0.9766782, 0.9620712, 0.9803655, 
    1.018813, 1.071265, 1.132617, 1.19632, 1.258823, 1.320275, 1.386277, 
    1.448529, 1.50408, 1.558581, 1.616181, 1.674881, 1.729332, 1.785533, 
    1.844433, 1.898085, 1.939835, 1.982985, 2.034035, 2.092135, 2.152334, 
    2.220934, 2.309433, 2.425483, 2.562583, 2.728034, 2.924787, 3.114289, 
    3.242088, 3.339439, 3.413743, 3.474798, 3.527603, 2.258861, 0.1707186, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.05710603, 0.7331951, 1.09001, 1.040862, 0.9816648, 
    0.9218661, 0.8705173, 0.8216193, 0.7723718, 0.7368239, 0.7217767, 
    0.7259815, 0.7472873, 0.7811918, 0.8207956, 0.864949, 0.913752, 
    0.9658052, 1.019807, 1.081857, 1.158455, 1.240203, 1.310052, 1.370801, 
    1.43395, 1.5054, 1.587296, 1.67584, 1.763483, 1.834177, 1.88527, 
    1.930412, 1.981404, 2.038594, 2.093484, 2.139978, 2.187426, 2.209775, 
    2.219972, 2.24277, 2.175379, 0.8344575, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.2768128, 1.373363, 1.827518, 1.834217, 
    1.842366, 1.840517, 1.830269, 1.81907, 1.800822, 1.775025, 1.740128, 
    1.692482, 1.636536, 1.58304, 1.532342, 1.479695, 1.429298, 1.38605, 
    1.349102, 1.317454, 1.293205, 1.277306, 1.265606, 1.256306, 1.250957, 
    1.249307, 1.249057, 1.249057, 1.249057, 1.249057, 1.249057, 1.249057, 
    1.249057, 1.249057, 1.249057, 1.249057, 1.248307, 1.244557, 1.238006, 
    1.226456, 1.211855, 1.194304, 1.173603, 1.145802, 1.113151, 1.079799, 
    1.046447, 1.008044, 0.9687399, 0.9317864, 0.8955328, 0.8590792, 
    0.8249754, 0.7972721, 0.7716689, 0.748166, 0.7345154, 0.7322648, 
    0.737364, 0.7464116, 0.7609093, 0.7770069, 0.7959045, 0.8173019, 
    0.8351496, 0.8454984, 0.8509473, 0.8511459, 0.7203487, 0.6268339, 
    0.8187938, 0.7952443, 0.7680454, 0.742997, 0.7196983, 0.6977988, 0.6795, 
    0.6637502, 0.6564004, 0.65505, 0.6553, 0.6582518, 0.4300225, 0.06880192, 
    0.4624462, 0.7147648, 0.7271665, 0.3942044, 0.3589736, 0.3757614, 
    0.6527536, 0.7733192, 0.7883696, 0.8082709, 0.8358724, 0.8770742, 
    0.928676, 0.986528, 1.05278, 1.132681, 1.216332, 1.296283, 1.374833, 
    1.455383, 1.526533, 1.583032, 1.629731, 1.668381, 1.69568, 1.70978, 
    1.71058, 1.699831, 1.695086,
  1.946048, 2.049648, 2.247298, 2.449947, 2.640797, 2.839697, 3.069645, 
    3.288543, 3.380043, 3.266093, 3.020748, 2.757005, 2.513061, 2.272618, 
    2.010324, 1.738281, 1.502585, 1.365935, 1.325884, 1.310534, 1.298583, 
    1.283132, 1.26203, 1.239479, 1.219078, 1.199376, 1.182725, 1.176224, 
    1.176574, 1.175874, 1.161623, 1.138222, 1.116322, 1.106674, 1.121028, 
    1.167582, 1.216336, 1.266491, 1.300146, 1.317598, 1.316348, 1.312997, 
    1.299842, 1.270487, 1.228333, 1.193179, 1.166778, 1.176377, 1.213077, 
    1.270779, 1.338782, 1.410335, 1.478587, 1.545088, 1.613187, 1.674936, 
    1.728333, 1.780681, 1.836179, 1.893378, 1.947828, 2.004727, 2.06908, 
    2.130885, 2.177838, 2.222339, 2.272538, 2.329338, 2.387587, 2.453535, 
    2.539434, 2.647829, 2.778074, 2.940171, 3.139571, 3.333371, 3.459572, 
    3.561273, 3.647428, 3.723584, 3.786836, 1.142426, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.1684835, 0.831312, 1.075463, 1.021865, 0.9654157, 0.9180173, 
    0.8744692, 0.832622, 0.8070771, 0.8035325, 0.8227386, 0.8591439, 
    0.9057485, 0.9548017, 1.007004, 1.063207, 1.120607, 1.175306, 1.232803, 
    1.301049, 1.375996, 1.441294, 1.498192, 1.558191, 1.622987, 1.692781, 
    1.765376, 1.83612, 1.891115, 1.92551, 1.951503, 1.979345, 2.012687, 
    2.046481, 2.079928, 2.123327, 2.140975, 2.143472, 2.15927, 1.977271, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5602549, 
    1.869016, 1.873316, 1.878165, 1.884064, 1.883765, 1.878216, 1.870617, 
    1.856518, 1.83602, 1.808522, 1.770975, 1.725279, 1.680282, 1.636684, 
    1.591187, 1.547639, 1.510041, 1.478393, 1.450394, 1.428945, 1.415295, 
    1.404796, 1.396296, 1.391446, 1.390046, 1.390046, 1.390046, 1.390046, 
    1.390046, 1.390046, 1.390046, 1.390046, 1.390046, 1.390046, 1.390046, 
    1.389296, 1.385297, 1.378146, 1.366347, 1.350546, 1.331796, 1.309546, 
    1.280196, 1.244895, 1.208545, 1.170443, 1.123991, 1.075488, 1.029785, 
    0.9840817, 0.9365773, 0.891273, 0.8532689, 0.8177148, 0.7879631, 
    0.7725625, 0.7677612, 0.76996, 0.7738585, 0.6625738, 0.5933669, 
    0.8050523, 0.8207006, 0.8325985, 0.8392471, 0.8416961, 0.8387452, 
    0.7060811, 0.6113884, 0.8027945, 0.7799446, 0.7560959, 0.7354976, 
    0.7155988, 0.6953492, 0.6789496, 0.6642501, 0.6569, 0.6551, 0.656801, 
    0.4966368, 0.09968106, 0.07370166, 0.7419671, 0.761519, 0.493874, 
    0.07875246, 0.4132854, 0.6141545, 0.8178211, 0.8288711, 0.8449716, 
    0.8677723, 0.8989736, 0.9445749, 1.000726, 1.062777, 1.132528, 1.215129, 
    1.300329, 1.380278, 1.458478, 1.537377, 1.606426, 1.661025, 1.706175, 
    1.743824, 1.770325, 1.785776, 1.790028, 1.786582, 1.798589,
  2.078539, 2.181789, 2.378338, 2.580138, 2.769537, 2.965235, 3.185581, 
    3.391075, 3.481775, 3.373328, 3.145284, 2.90179, 2.677296, 2.456653, 
    2.21641, 1.967519, 1.745324, 1.611325, 1.571826, 1.555426, 1.540825, 
    1.522374, 1.497023, 1.470071, 1.44532, 1.420918, 1.399817, 1.390416, 
    1.390066, 1.389015, 1.373565, 1.348415, 1.326315, 1.321716, 1.346619, 
    1.405573, 1.466326, 1.52883, 1.574333, 1.598085, 1.596084, 1.589184, 
    1.565231, 1.522628, 1.470325, 1.429224, 1.399924, 1.409475, 1.450827, 
    1.51668, 1.592383, 1.671985, 1.745587, 1.814637, 1.880987, 1.937585, 
    1.985083, 2.030831, 2.079729, 2.131326, 2.182325, 2.237875, 2.311177, 
    2.385731, 2.441584, 2.488334, 2.535533, 2.588431, 2.642329, 2.702877, 
    2.781373, 2.871117, 2.984311, 3.133556, 3.328603, 3.524253, 3.650053, 
    3.758005, 3.859861, 3.955768, 2.985182, 0.589888, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.5715074, 1.117464, 1.066364, 1.013616, 0.9712673, 0.9338194, 
    0.9009224, 0.8934289, 0.9077851, 0.9445404, 0.9969956, 1.0568, 1.115052, 
    1.174004, 1.235455, 1.292655, 1.338801, 1.385297, 1.440692, 1.505039, 
    1.563036, 1.614384, 1.666881, 1.719226, 1.773772, 1.831468, 1.886213, 
    1.926308, 1.946504, 1.955499, 1.961944, 1.974688, 1.994235, 2.021483, 
    2.059131, 2.07268, 2.067478, 2.075226, 1.897476, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.575405, 1.919016, 1.921766, 
    1.924565, 1.927464, 1.927264, 1.924964, 1.919214, 1.907765, 1.890766, 
    1.868867, 1.838669, 1.802522, 1.766275, 1.729677, 1.691529, 1.653981, 
    1.621782, 1.594483, 1.570335, 1.551886, 1.540036, 1.530637, 1.523237, 
    1.518937, 1.517537, 1.517537, 1.517537, 1.517537, 1.517537, 1.517537, 
    1.517537, 1.517537, 1.517537, 1.517537, 1.517537, 1.516937, 1.513037, 
    1.505987, 1.494787, 1.479188, 1.460788, 1.438889, 1.410139, 1.374739, 
    1.337539, 1.295789, 1.243887, 1.188836, 1.135784, 1.080281, 1.019977, 
    0.9601718, 0.908267, 0.8584619, 0.446429, 0.3950576, 0.3917596, 
    0.3919595, 0.392859, 0.3965045, 0.6028737, 0.8096008, 0.8201491, 
    0.8263975, 0.828496, 0.827795, 0.8218939, 0.8126435, 0.8004932, 
    0.7841435, 0.7626442, 0.7426454, 0.726997, 0.7116987, 0.6943, 0.6802011, 
    0.6700034, 0.6685572, 0.6396405, 0.3289481, 0.1663979, 0, 0.03802666, 
    0.3831149, 0.3942581, 0.1196266, 0.4475238, 0.8637232, 0.8742726, 
    0.8844721, 0.8954721, 0.9129226, 0.9377731, 0.9717237, 1.021075, 
    1.080826, 1.145026, 1.216576, 1.298575, 1.381574, 1.458273, 1.533571, 
    1.60887, 1.674318, 1.726518, 1.769617, 1.806567, 1.835568, 1.85502, 
    1.867823, 1.880829, 1.913085,
  2.205534, 2.308084, 2.502784, 2.701882, 2.887781, 3.075078, 3.276522, 
    3.458114, 3.54076, 3.442113, 3.234318, 3.012824, 2.810531, 2.612087, 
    2.398045, 2.178053, 1.979311, 1.855115, 1.819116, 1.803117, 1.786816, 
    1.765615, 1.736915, 1.705214, 1.675062, 1.64526, 1.618959, 1.606308, 
    1.604307, 1.602657, 1.585607, 1.559257, 1.537307, 1.537058, 1.57166, 
    1.641763, 1.713065, 1.785768, 1.839519, 1.86672, 1.86457, 1.85542, 
    1.824218, 1.773467, 1.715816, 1.673216, 1.644616, 1.658118, 1.70732, 
    1.782773, 1.867875, 1.956428, 2.03658, 2.107981, 2.17233, 2.224379, 
    2.266328, 2.305126, 2.344823, 2.38772, 2.431568, 2.484867, 2.565169, 
    2.648971, 2.712822, 2.762323, 2.805372, 2.85112, 2.897568, 2.948564, 
    3.011209, 3.077352, 3.169296, 3.29939, 3.482736, 3.675784, 3.801535, 
    3.916086, 4.03434, 3.503999, 1.029198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5967571, 1.166564, 1.116114, 1.067815, 1.030517, 0.9998685, 0.9800728, 
    0.9938785, 1.027533, 1.081838, 1.150743, 1.223346, 1.290298, 1.354449, 
    1.417599, 1.469347, 1.501793, 1.534239, 1.574485, 1.622229, 1.667775, 
    1.708771, 1.749417, 1.789114, 1.829511, 1.873757, 1.913803, 1.941051, 
    1.951499, 1.949347, 1.941845, 1.939542, 1.94999, 1.972338, 2.003237, 
    2.010684, 1.998983, 1.998831, 1.027205, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5911541, 1.971264, 1.973064, 1.973963, 
    1.973863, 1.973763, 1.974014, 1.969214, 1.958564, 1.943514, 1.924965, 
    1.899866, 1.871468, 1.84277, 1.812671, 1.780472, 1.748324, 1.721025, 
    1.697576, 1.677277, 1.661678, 1.651278, 1.642978, 1.636679, 1.632929, 
    1.631529, 1.631529, 1.631529, 1.631529, 1.631529, 1.631529, 1.631529, 
    1.631529, 1.631529, 1.631529, 1.631529, 1.630929, 1.627279, 1.620829, 
    1.610329, 1.59598, 1.57878, 1.55808, 1.53018, 1.496031, 1.458781, 
    1.41488, 1.359729, 1.299928, 1.241777, 1.175574, 1.10027, 1.022815, 
    0.9542598, 0.5799906, 0.04312688, 0.1245667, 0.2076112, 0, 0, 0.2416504, 
    0.8065011, 0.8117005, 0.8176494, 0.8186981, 0.8162469, 0.812046, 
    0.8030452, 0.7927951, 0.7809955, 0.7653456, 0.745746, 0.729497, 
    0.7202491, 0.7124014, 0.7033048, 0.590501, 0.5199167, 0.7112666, 
    0.6607196, 0, 0, 0, 0, 0, 0, 0, 0.4554089, 0.9458237, 0.9535228, 
    0.9622723, 0.9730222, 0.9913723, 1.018023, 1.053773, 1.105974, 1.167624, 
    1.232524, 1.303724, 1.380972, 1.45707, 1.527768, 1.597416, 1.667364, 
    1.727912, 1.776761, 1.817561, 1.853961, 1.887712, 1.915515, 1.94227, 
    1.976676, 2.029431,
  2.326026, 2.427526, 2.619625, 2.814024, 2.993272, 3.167619, 3.344263, 
    3.496956, 3.564752, 3.475755, 3.28946, 3.092316, 2.914521, 2.741628, 
    2.557685, 2.370643, 2.203051, 2.094954, 2.064406, 2.050907, 2.035057, 
    2.012557, 1.981757, 1.946006, 1.910805, 1.875254, 1.843552, 1.827052, 
    1.822301, 1.8186, 1.799149, 1.771249, 1.750049, 1.75405, 1.796752, 
    1.876504, 1.956556, 2.036607, 2.095358, 2.124859, 2.122808, 2.111308, 
    2.074206, 2.017255, 1.956304, 1.913204, 1.886304, 1.904605, 1.960306, 
    2.043308, 2.137909, 2.236812, 2.325564, 2.401015, 2.465166, 2.514465, 
    2.552064, 2.584063, 2.614261, 2.646358, 2.680056, 2.728804, 2.811704, 
    2.900605, 2.970306, 3.022507, 3.062506, 3.100004, 3.137802, 3.17665, 
    3.218344, 3.258188, 3.325282, 3.431576, 3.595821, 3.779368, 3.903267, 
    4.021568, 4.149518, 2.971163, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6240065, 1.220713, 1.170813, 1.126164, 1.094265, 1.070767, 1.06677, 
    1.100675, 1.152779, 1.223432, 1.307485, 1.391438, 1.465289, 1.531789, 
    1.594389, 1.636536, 1.654533, 1.670779, 1.691374, 1.718219, 1.747015, 
    1.774412, 1.80346, 1.832258, 1.861005, 1.893253, 1.921551, 1.940849, 
    1.946499, 1.938848, 1.923696, 1.912094, 1.914993, 1.930841, 1.954389, 
    1.951987, 1.934485, 1.926784, 0.1926483, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6060033, 2.021011, 2.023061, 2.022511, 
    2.021361, 2.022761, 2.026262, 2.024913, 2.014714, 2.000514, 1.983514, 
    1.961965, 1.938816, 1.915267, 1.889617, 1.860067, 1.831218, 1.807768, 
    1.788169, 1.77082, 1.758121, 1.749271, 1.742171, 1.736671, 1.733422, 
    1.732021, 1.732022, 1.732022, 1.732022, 1.732021, 1.732022, 1.732022, 
    1.732022, 1.732021, 1.732022, 1.732022, 1.731422, 1.728272, 1.722322, 
    1.712772, 1.699272, 1.683272, 1.663773, 1.637173, 1.604474, 1.567273, 
    1.522023, 1.465623, 1.403323, 1.340272, 1.261119, 1.168115, 0.9158386, 
    0.486027, 0.4584806, 0.4387011, 0.5503882, 0.6263469, 0.4157906, 
    0.4103381, 0.5275307, 0.8090003, 0.8105991, 0.8120979, 0.6885419, 
    0.6026548, 0.7947956, 0.7840954, 0.7737455, 0.7639961, 0.750747, 
    0.7352486, 0.7244503, 0.7235023, 0.7253547, 0.7284074, 0.6297098, 
    0.5738459, 0.7800173, 0.3898091, 0, 0, 0, 0, 0, 0, 0.3876277, 0.5990292, 
    1.039273, 1.043522, 1.050922, 1.061021, 1.079171, 1.107271, 1.144122, 
    1.197822, 1.259471, 1.323521, 1.39107, 1.459918, 1.526315, 1.588263, 
    1.650211, 1.712509, 1.767207, 1.811756, 1.849656, 1.887156, 1.926457, 
    1.96551, 2.009464, 2.066469, 2.139624,
  2.434019, 2.534119, 2.721618, 2.910067, 3.080265, 3.239612, 3.390057, 
    3.512851, 3.564498, 3.48525, 3.322154, 3.15176, 3.000515, 2.855921, 
    2.704927, 2.553884, 2.419041, 2.329344, 2.305696, 2.296147, 2.283047, 
    2.262598, 2.231648, 2.193748, 2.154797, 2.114447, 2.077996, 2.056795, 
    2.048544, 2.040993, 2.017292, 1.987242, 1.967042, 1.975893, 2.025344, 
    2.112795, 2.199796, 2.285397, 2.347698, 2.378348, 2.375298, 2.360347, 
    2.316645, 2.252394, 2.187043, 2.141993, 2.115793, 2.135692, 2.194543, 
    2.282444, 2.384945, 2.492596, 2.587047, 2.664346, 2.726495, 2.771094, 
    2.803543, 2.829341, 2.850039, 2.869987, 2.894285, 2.939585, 3.026337, 
    3.122689, 3.200041, 3.256042, 3.293241, 3.32354, 3.353289, 3.379536, 
    3.398532, 3.410577, 3.450271, 3.528115, 3.66681, 3.833306, 3.949253, 
    4.064502, 4.191551, 3.00055, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6544998, 
    0.7003173, 0.9938858, 1.27626, 1.228361, 1.186862, 1.160013, 1.143314, 
    1.151115, 1.202018, 1.270771, 1.355624, 1.452226, 1.544777, 1.622527, 
    1.689077, 1.748977, 1.782525, 1.786773, 1.785069, 1.783015, 1.788711, 
    1.801258, 1.816956, 1.836555, 1.857603, 1.879002, 1.902501, 1.92325, 
    1.937949, 1.940499, 1.929398, 1.909148, 1.890996, 1.884494, 1.890942, 
    1.90509, 1.891638, 1.867737, 1.851535, 0.1848984, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3064829, 1.545059, 2.070259, 
    2.069559, 2.068809, 2.07326, 2.081211, 2.085662, 2.077913, 2.063012, 
    2.046362, 2.026512, 2.006213, 1.985513, 1.961313, 1.932013, 1.903013, 
    1.881763, 1.865764, 1.851314, 1.841065, 1.833765, 1.827865, 1.823165, 
    1.820565, 1.819515, 1.819515, 1.819515, 1.819516, 1.819515, 1.819515, 
    1.819515, 1.819516, 1.819515, 1.819515, 1.819515, 1.818916, 1.816015, 
    1.810666, 1.801766, 1.788916, 1.773766, 1.755466, 1.730166, 1.698617, 
    1.661767, 1.616867, 1.561067, 1.497317, 1.426014, 1.331962, 0.6662465, 
    0.3908007, 0, 0.6359507, 0.8790508, 0.8536508, 0.840251, 0.8349014, 
    0.822901, 0.8141007, 0.8095, 0.8069993, 0.8036485, 0.5582485, 0.3909985, 
    0.7767468, 0.4627812, 0.7566972, 0.7499979, 0.741549, 0.7328002, 
    0.730202, 0.7382537, 0.7501556, 0.765558, 0.7886609, 0.6004303, 
    0.4086939, 0.04133422, 0, 0, 0, 0, 0, 0.3056166, 0.9946839, 1.148519, 
    1.138469, 1.141269, 1.147569, 1.156919, 1.173818, 1.202268, 1.240519, 
    1.294719, 1.354869, 1.415768, 1.475966, 1.533814, 1.588261, 1.639759, 
    1.691957, 1.745155, 1.792854, 1.832503, 1.867252, 1.906402, 1.952054, 
    2.002006, 2.063859, 2.142914, 2.236968,
  2.531514, 2.629864, 2.812413, 2.992812, 3.15251, 3.295408, 3.418853, 
    3.510798, 3.544746, 3.474747, 3.335851, 3.193805, 3.07151, 2.957264, 
    2.84102, 2.726425, 2.625531, 2.555434, 2.540035, 2.536336, 2.528287, 
    2.512888, 2.485039, 2.447939, 2.407039, 2.363339, 2.322988, 2.297588, 
    2.284787, 2.272336, 2.242935, 2.209284, 2.189034, 2.201685, 2.257336, 
    2.351136, 2.443037, 2.532137, 2.597038, 2.628188, 2.623037, 2.603187, 
    2.551585, 2.478734, 2.407033, 2.357732, 2.328731, 2.34603, 2.40503, 
    2.49483, 2.60198, 2.715581, 2.816033, 2.896534, 2.956734, 2.995733, 
    3.022533, 3.040231, 3.05038, 3.058128, 3.072526, 3.112474, 3.202474, 
    3.306575, 3.393276, 3.455477, 3.492928, 3.518677, 3.541777, 3.555775, 
    3.552972, 3.535367, 3.545012, 3.590707, 3.699652, 3.843249, 3.943245, 
    4.046393, 4.163191, 2.976043, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5395145, 
    1.403379, 1.422557, 1.374007, 1.330008, 1.285859, 1.248409, 1.22551, 
    1.214161, 1.228961, 1.291313, 1.372764, 1.468566, 1.573917, 1.670717, 
    1.749017, 1.814016, 1.870016, 1.898115, 1.891014, 1.873061, 1.851459, 
    1.837956, 1.836754, 1.842553, 1.854302, 1.870701, 1.888501, 1.907, 
    1.9233, 1.935, 1.935749, 1.922849, 1.899549, 1.876048, 1.860247, 
    1.854945, 1.856843, 1.834942, 1.804991, 1.170054, 0.09037241, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.056753, 2.116307, 
    2.117107, 2.118408, 2.126258, 2.139009, 2.14861, 2.14441, 2.12876, 
    2.11101, 2.09106, 2.07121, 2.050259, 2.025109, 1.994459, 1.963859, 
    1.943259, 1.930359, 1.918759, 1.910509, 1.90476, 1.90006, 1.89616, 
    1.89421, 1.89351, 1.89351, 1.89396, 1.89401, 1.89401, 1.89401, 1.89401, 
    1.89401, 1.89401, 1.89401, 1.89396, 1.89306, 1.89051, 1.88551, 1.87681, 
    1.86456, 1.850011, 1.832311, 1.808111, 1.777261, 1.741261, 1.697911, 
    1.644462, 1.579262, 1.49651, 0.9040102, 0.06667965, 0, 0, 0.6366497, 
    0.8796995, 0.8554499, 0.8437502, 0.8411508, 0.4548369, 0.4077756, 
    0.4046265, 0.6819124, 0.7946985, 0.5498486, 0.3832489, 0.4979675, 
    0.1127881, 0.7439483, 0.741249, 0.4801711, 0.70094, 0.7446029, 0.5651942, 
    0.6662199, 0.7690446, 0.4084254, 0.2089362, 0, 0, 0, 0, 0, 0, 0.1991107, 
    0.9668585, 1.261614, 1.246815, 1.238315, 1.240015, 1.244865, 1.253064, 
    1.270915, 1.301516, 1.341566, 1.394165, 1.450814, 1.506514, 1.556962, 
    1.60166, 1.641607, 1.681005, 1.722154, 1.765752, 1.805851, 1.84, 
    1.870999, 1.91215, 1.964801, 2.026253, 2.106606, 2.208359, 2.324113,
  2.62301, 2.71926, 2.895709, 3.066608, 3.214007, 3.339005, 3.434201, 
    3.494748, 3.506994, 3.441895, 3.326198, 3.213151, 3.120754, 3.037457, 
    2.955661, 2.877466, 2.810519, 2.765623, 2.761975, 2.766626, 2.765776, 
    2.758278, 2.738279, 2.705229, 2.66478, 2.61978, 2.576029, 2.546879, 
    2.529278, 2.510978, 2.474477, 2.435026, 2.413275, 2.428276, 2.489276, 
    2.588327, 2.684277, 2.775678, 2.841877, 2.872228, 2.864027, 2.837976, 
    2.777425, 2.693974, 2.613273, 2.556021, 2.520171, 2.530969, 2.586269, 
    2.674119, 2.784219, 2.90622, 3.020772, 3.113274, 3.179276, 3.217926, 
    3.241025, 3.250125, 3.249073, 3.241721, 3.240019, 3.265266, 3.348865, 
    3.454715, 3.548516, 3.617466, 3.659017, 3.683267, 3.701517, 3.705415, 
    3.680913, 3.632409, 3.609256, 3.620401, 3.696497, 3.813044, 3.888991, 
    3.972988, 4.073687, 2.904639, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7609239, 0.8320903, 
    0.8134359, 1.328407, 1.513654, 1.463904, 1.420505, 1.380606, 1.341306, 
    1.308457, 1.289257, 1.282308, 1.302008, 1.370108, 1.458259, 1.559709, 
    1.669109, 1.765909, 1.842259, 1.904258, 1.956458, 1.979757, 1.965507, 
    1.936206, 1.900405, 1.872453, 1.860002, 1.857001, 1.862951, 1.8761, 
    1.8915, 1.90725, 1.92225, 1.933, 1.93375, 1.9212, 1.89685, 1.86905, 
    1.845499, 1.828948, 1.816996, 1.787945, 1.324396, 0.2642395, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.077752, 2.160055, 
    2.164205, 2.169806, 2.181006, 2.197457, 2.210157, 2.208707, 2.193007, 
    2.173807, 2.152107, 2.130456, 2.106756, 2.078505, 2.045005, 2.012705, 
    1.992505, 1.982105, 1.973205, 1.966806, 1.962256, 1.958756, 1.955706, 
    1.954706, 1.954256, 1.954506, 1.955406, 1.955656, 1.956006, 1.956006, 
    1.956457, 1.956357, 1.956006, 1.956006, 1.955456, 1.954206, 1.952006, 
    1.947006, 1.938306, 1.926206, 1.912006, 1.894306, 1.871506, 1.841707, 
    1.806757, 1.765157, 1.715457, 1.650257, 1.554256, 0.4527015, 0, 0, 0, 
    0.3177273, 0.4812092, 0.8472482, 0.6299509, 0.4217535, 0.04219035, 0, 0, 
    0.2792361, 0.7433894, 0.5396987, 0.1897066, 0.113824, 0.3654667, 
    0.734149, 0.7369998, 0.4833598, 0.7125601, 0.7661529, 0.5972991, 
    0.7097825, 0.4187739, 0, 0.2645605, 0.1587363, 0, 0, 0.3388275, 
    0.6934085, 0.7136632, 0.9162185, 1.371011, 1.358661, 1.348262, 1.342563, 
    1.341262, 1.343812, 1.352362, 1.373863, 1.405762, 1.444312, 1.492561, 
    1.54331, 1.591259, 1.629408, 1.658656, 1.683004, 1.708502, 1.737501, 
    1.77135, 1.803849, 1.832748, 1.861998, 1.907249, 1.96735, 2.041501, 
    2.141204, 2.266706, 2.404559,
  2.703005, 2.796455, 2.964154, 3.124104, 3.258752, 3.367151, 3.436399, 
    3.466197, 3.453245, 3.389195, 3.296997, 3.21285, 3.149752, 3.096104, 
    3.047207, 3.002759, 2.967261, 2.950663, 2.960464, 2.974064, 2.981515, 
    2.984066, 2.974617, 2.949418, 2.912268, 2.867768, 2.821968, 2.789468, 
    2.767267, 2.742617, 2.697966, 2.650815, 2.625765, 2.642365, 2.707766, 
    2.811366, 2.910766, 3.004566, 3.071766, 3.101116, 3.089766, 3.057416, 
    2.986815, 2.891764, 2.800263, 2.732563, 2.686162, 2.686861, 2.73451, 
    2.81786, 2.93426, 3.073112, 3.210014, 3.323116, 3.402817, 3.447068, 
    3.468268, 3.470217, 3.456316, 3.425764, 3.397261, 3.397109, 3.463607, 
    3.564657, 3.662007, 3.736257, 3.782807, 3.808958, 3.824758, 3.821307, 
    3.776756, 3.697154, 3.640251, 3.616598, 3.658846, 3.745844, 3.794492, 
    3.85469, 3.929587, 2.79194, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4305656, 0.8569306, 1.607113, 
    1.6651, 1.630751, 1.586951, 1.542502, 1.499553, 1.462253, 1.427753, 
    1.393854, 1.366354, 1.351005, 1.347555, 1.370455, 1.441055, 1.531005, 
    1.633905, 1.743505, 1.838655, 1.911755, 1.970155, 2.018354, 2.036854, 
    2.018003, 1.981653, 1.935902, 1.897552, 1.875751, 1.8648, 1.8665, 1.8773, 
    1.89125, 1.9059, 1.9213, 1.9333, 1.936, 1.926801, 1.905501, 1.876151, 
    1.847251, 1.822201, 1.79855, 1.50266, 0.4359336, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5436671, 1.865152, 
    2.206203, 2.218653, 2.234254, 2.254054, 2.268605, 2.267254, 2.250254, 
    2.229754, 2.206404, 2.180753, 2.152253, 2.119203, 2.081652, 2.047852, 
    2.029002, 2.021003, 2.014652, 2.010103, 2.006753, 2.004103, 2.002153, 
    2.002003, 2.002253, 2.002853, 2.003953, 2.004803, 2.005753, 2.006003, 
    2.006903, 2.006703, 2.006003, 2.005653, 2.004503, 2.003053, 2.000503, 
    1.995503, 1.986353, 1.974053, 1.959503, 1.941803, 1.919653, 1.892303, 
    1.859254, 1.820604, 1.776504, 1.712955, 1.209944, 0.229615, 0, 0, 0, 
    0.295445, 0.452006, 0.8226475, 0.4079989, 0, 0, 0, 0, 0, 0.6868985, 
    0.527099, 0, 0, 0.3645555, 0.7277997, 0.7377502, 0.7508509, 0.7680517, 
    0.7955025, 0.8350035, 0.5577052, 0.04309343, 0.1626248, 0.8227948, 
    0.7553167, 0.6383473, 0.675953, 1.041556, 1.418005, 1.456054, 1.463805, 
    1.454005, 1.447356, 1.443656, 1.442057, 1.441257, 1.444658, 1.456558, 
    1.478408, 1.507757, 1.542007, 1.584507, 1.628506, 1.666505, 1.690154, 
    1.703153, 1.711402, 1.722751, 1.73935, 1.762549, 1.787498, 1.811998, 
    1.842448, 1.893398, 1.961749, 2.04725, 2.164251, 2.313553, 2.473855,
  2.763502, 2.853102, 3.010501, 3.157601, 3.27975, 3.37355, 3.421899, 
    3.423648, 3.386497, 3.324147, 3.254798, 3.198599, 3.1625, 3.133051, 
    3.107001, 3.082752, 3.064752, 3.061802, 3.072902, 3.084551, 3.092751, 
    3.098851, 3.097251, 3.081851, 3.051002, 3.011052, 2.967652, 2.933352, 
    2.907252, 2.875552, 2.827102, 2.779602, 2.758002, 2.783653, 2.859754, 
    2.962454, 3.058003, 3.147603, 3.219353, 3.250803, 3.237253, 3.198853, 
    3.117352, 3.014052, 2.924503, 2.859803, 2.815054, 2.805154, 2.843253, 
    2.921603, 3.050604, 3.217405, 3.384506, 3.525007, 3.625208, 3.678859, 
    3.699259, 3.694808, 3.664057, 3.599306, 3.531755, 3.495353, 3.534652, 
    3.624551, 3.721751, 3.799701, 3.851352, 3.882702, 3.899502, 3.891102, 
    3.830901, 3.72285, 3.633499, 3.577398, 3.587647, 3.646996, 3.672995, 
    3.709144, 3.754393, 2.657545, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.08685661, 0.867516, 1.293533, 
    1.7136, 1.6932, 1.6677, 1.6385, 1.603351, 1.566951, 1.530901, 1.499251, 
    1.470402, 1.442352, 1.420402, 1.409002, 1.408102, 1.431902, 1.502552, 
    1.592252, 1.694552, 1.802502, 1.895402, 1.965252, 2.019702, 2.063901, 
    2.079101, 2.056751, 2.015851, 1.963301, 1.916601, 1.887, 1.8693, 1.8676, 
    1.87715, 1.8905, 1.90525, 1.921, 1.93555, 1.94225, 1.938451, 1.923251, 
    1.896651, 1.866251, 1.836901, 1.808301, 1.246701, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.774841, 2.127642, 
    2.262451, 2.283752, 2.306802, 2.321902, 2.317702, 2.297001, 2.273851, 
    2.249201, 2.219601, 2.184501, 2.145901, 2.103451, 2.068651, 2.051751, 
    2.046051, 2.042551, 2.040051, 2.038251, 2.036451, 2.035601, 2.036301, 
    2.037251, 2.038201, 2.039951, 2.041451, 2.043001, 2.043851, 2.044901, 
    2.044701, 2.043751, 2.042801, 2.041051, 2.039401, 2.036251, 2.030651, 
    2.020801, 2.007251, 1.992251, 1.975151, 1.954101, 1.927001, 1.894751, 
    1.860401, 1.823601, 1.763201, 0.8480006, 0, 0, 0, 0.2150164, 0.7044086, 
    0.8004985, 0.6738399, 0.2002347, 0, 0, 0, 0, 0, 0.6659492, 0.6191576, 
    0.3560271, 0.3553771, 0.3934744, 0.7266001, 0.7442504, 0.7664508, 
    0.4709765, 0.8337016, 0.884252, 0.6191271, 0.5241899, 0.7263806, 
    1.161503, 1.238253, 1.319803, 1.390353, 1.441003, 1.481152, 1.510002, 
    1.517552, 1.516252, 1.517402, 1.520503, 1.523753, 1.527753, 1.535253, 
    1.551703, 1.573653, 1.599753, 1.629703, 1.666003, 1.702453, 1.728752, 
    1.737901, 1.734651, 1.72695, 1.7245, 1.728349, 1.739899, 1.757799, 
    1.779499, 1.812749, 1.869999, 1.946499, 2.0415, 2.1715, 2.341751, 2.525202,
  2.779, 2.8616, 3.00435, 3.13485, 3.2415, 3.31805, 3.34565, 3.323, 3.26775, 
    3.2111, 3.1656, 3.13775, 3.12475, 3.11385, 3.1029, 3.09115, 3.08175, 
    3.0825, 3.0853, 3.0856, 3.08825, 3.0951, 3.10135, 3.0958, 3.07225, 
    3.0389, 3.0013, 2.96775, 2.938, 2.89915, 2.84585, 2.79805, 2.78075, 
    2.81595, 2.89965, 2.9965, 3.08425, 3.16465, 3.23685, 3.2728, 3.26425, 
    3.22665, 3.1436, 3.04435, 2.96875, 2.91905, 2.88935, 2.87965, 2.9105, 
    2.98545, 3.134, 3.3364, 3.538, 3.7081, 3.82935, 3.89065, 3.91, 3.89925, 
    3.8489, 3.7416, 3.62675, 3.54655, 3.54965, 3.6193, 3.71, 3.7895, 3.8474, 
    3.8854, 3.90425, 3.8909, 3.81885, 3.6908, 3.57775, 3.49725, 3.47975, 
    3.51365, 3.52175, 3.53825, 3.56235, 3.0406, 0.877, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.44075, 0.87905, 0.9613, 
    1.73675, 1.727, 1.7141, 1.69425, 1.67015, 1.645, 1.61705, 1.58705, 
    1.55775, 1.5315, 1.5077, 1.48485, 1.46795, 1.4605, 1.4611, 1.48385, 
    1.55245, 1.64, 1.7405, 1.84645, 1.93665, 2.00275, 2.05205, 2.09205, 
    2.10515, 2.08125, 2.0381, 1.98115, 1.92795, 1.892, 1.8697, 1.86665, 
    1.8763, 1.8905, 1.9061, 1.92305, 1.93995, 1.95125, 1.9538, 1.9456, 
    1.92405, 1.8965, 1.86895, 1.84225, 1.2712, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.13125, 2.30785, 2.3355, 
    2.35965, 2.37225, 2.3627, 2.3365, 2.3089, 2.28175, 2.24915, 2.20625, 
    2.16125, 2.11425, 2.07895, 2.0635, 2.05995, 2.059, 2.0582, 2.057, 2.0558, 
    2.05605, 2.05745, 2.05925, 2.06105, 2.06345, 2.0656, 2.06775, 2.06955, 
    2.07045, 2.07035, 2.0695, 2.06795, 2.0651, 2.06275, 2.05875, 2.0523, 
    2.04125, 2.02595, 2.0105, 1.9933, 1.97135, 1.9403, 1.90625, 1.87605, 
    1.846, 1.52715, 0.42775, 0, 0, 0.13455, 0.63925, 0.78975, 0.7578, 
    0.52745, 0, 0, 0, 0, 0, 0, 0.64245, 0.7076, 0.705, 0.4602, 0.67975, 
    0.7317, 0.75775, 0.78975, 0.50515, 0.8800499, 0.94225, 1.01285, 1.09125, 
    1.17345, 1.25375, 1.32985, 1.40605, 1.46715, 1.5085, 1.5404, 1.55945, 
    1.5687, 1.57375, 1.58055, 1.5894, 1.5973, 1.6055, 1.6172, 1.63615, 
    1.6584, 1.681, 1.7064, 1.73695, 1.76515, 1.778, 1.77335, 1.7547, 1.732, 
    1.716, 1.707, 1.70655, 1.7156, 1.736, 1.77355, 1.8366, 1.9203, 2.02275, 
    2.1616, 2.34495, 2.5425,
  2.749501, 2.822652, 2.947252, 3.058203, 3.146254, 3.203505, 3.209105, 
    3.165556, 3.103006, 3.054106, 3.028306, 3.023405, 3.028004, 3.033304, 
    3.037753, 3.039003, 3.039253, 3.043703, 3.042753, 3.037552, 3.039003, 
    3.051302, 3.067802, 3.072102, 3.055501, 3.027701, 2.995701, 2.965151, 
    2.932001, 2.886951, 2.823902, 2.766902, 2.745502, 2.779052, 2.860052, 
    2.952953, 3.036253, 3.111153, 3.177453, 3.216053, 3.217003, 3.188202, 
    3.116652, 3.030351, 2.966501, 2.92855, 2.9108, 2.9101, 2.9395, 3.01195, 
    3.182149, 3.420547, 3.656496, 3.853245, 3.991045, 4.056495, 4.073745, 
    4.057045, 3.989795, 3.838447, 3.674749, 3.548851, 3.513902, 3.559003, 
    3.639253, 3.717053, 3.777504, 3.818853, 3.837504, 3.819054, 3.737104, 
    3.595355, 3.467755, 3.371306, 3.333156, 3.346807, 3.343507, 3.347907, 
    3.359158, 3.387958, 2.527691, 0.4957123, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8859997, 1.765699, 1.7544, 1.7423, 
    1.73075, 1.71675, 1.6978, 1.6756, 1.65375, 1.630849, 1.606049, 1.581949, 
    1.560249, 1.540649, 1.521949, 1.509848, 1.505748, 1.506548, 1.527248, 
    1.592699, 1.675749, 1.769299, 1.86845, 1.95245, 2.013, 2.056051, 
    2.091651, 2.102501, 2.078501, 2.037001, 1.981501, 1.9275, 1.88925, 1.865, 
    1.8626, 1.87355, 1.89025, 1.9073, 1.92655, 1.9462, 1.96175, 1.970999, 
    1.970449, 1.955199, 1.935248, 1.917048, 1.896798, 1.594927, 0.4707142, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1162088, 1.526411, 2.387498, 2.410398, 2.417598, 2.400699, 2.368749, 
    2.336099, 2.305399, 2.270299, 2.22125, 2.1701, 2.11985, 2.0836, 2.0685, 
    2.06565, 2.06595, 2.06555, 2.064, 2.0628, 2.06355, 2.0656, 2.06825, 
    2.0709, 2.07445, 2.077749, 2.0805, 2.08255, 2.08345, 2.0835, 2.08275, 
    2.08025, 2.07655, 2.07295, 2.06775, 2.06045, 2.0478, 2.03085, 2.01325, 
    1.9932, 1.967201, 1.931501, 1.897751, 1.871, 1.747308, 0.6356484, 0, 0, 
    0, 0.2596507, 0.8195022, 0.7392017, 0.7177013, 0.5015509, 0, 0, 0, 0, 0, 
    0, 0.3486714, 0.6871008, 0.6907505, 0.4535814, 0.6817472, 0.7425995, 
    0.7779992, 0.8200487, 0.8708982, 0.9359977, 1.010497, 1.090597, 1.175097, 
    1.260397, 1.340997, 1.412847, 1.480448, 1.530648, 1.560498, 1.587548, 
    1.605948, 1.619898, 1.629748, 1.640998, 1.654448, 1.667197, 1.679247, 
    1.694097, 1.712547, 1.732147, 1.751498, 1.772598, 1.797398, 1.817498, 
    1.817499, 1.799649, 1.76675, 1.7302, 1.701751, 1.681001, 1.668602, 
    1.667452, 1.685502, 1.727002, 1.795602, 1.885152, 1.993251, 2.138101, 
    2.328451, 2.526001,
  2.691506, 2.755907, 2.863258, 2.955609, 3.023261, 3.060462, 3.045314, 
    2.987115, 2.925765, 2.882964, 2.869913, 2.880212, 2.899511, 2.920909, 
    2.941558, 2.956057, 2.963756, 2.968307, 2.965657, 2.958257, 2.960507, 
    2.978157, 3.002706, 3.014256, 3.004255, 2.982355, 2.956104, 2.929154, 
    2.894754, 2.845654, 2.774955, 2.710705, 2.685255, 2.713006, 2.788506, 
    2.876857, 2.957757, 3.029557, 3.090108, 3.126258, 3.133008, 3.112807, 
    3.055956, 2.983205, 2.928504, 2.895504, 2.880554, 2.884204, 2.913005, 
    2.981355, 3.168154, 3.436002, 3.70125, 3.919949, 4.072598, 4.145097, 
    4.163496, 4.144096, 4.066097, 3.87725, 3.670753, 3.504505, 3.433558, 
    3.45266, 3.519512, 3.591962, 3.650563, 3.691062, 3.708512, 3.687113, 
    3.597413, 3.449863, 3.316263, 3.211363, 3.160014, 3.161814, 3.157264, 
    3.157264, 3.166114, 3.193614, 3.214263, 0.9658539, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2725085, 1.34943, 1.781749, 
    1.766499, 1.751699, 1.738249, 1.723749, 1.706349, 1.686699, 1.667249, 
    1.647099, 1.625998, 1.605198, 1.586748, 1.570398, 1.555498, 1.547447, 
    1.545247, 1.546547, 1.564847, 1.622898, 1.696249, 1.77695, 1.863651, 
    1.938152, 1.992002, 2.029403, 2.060403, 2.070753, 2.050503, 2.016252, 
    1.968801, 1.919601, 1.882751, 1.85815, 1.856251, 1.8698, 1.88925, 
    1.90835, 1.93, 1.9518, 1.970749, 1.986199, 1.993848, 1.986298, 1.976997, 
    1.969796, 1.957546, 1.937195, 0.961247, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3600549, 1.82334, 
    2.454897, 2.455547, 2.431698, 2.393998, 2.356998, 2.322549, 2.285199, 
    2.233499, 2.178999, 2.126799, 2.088799, 2.07275, 2.069299, 2.0689, 
    2.0674, 2.0655, 2.0643, 2.0651, 2.06775, 2.071, 2.0746, 2.079449, 
    2.084049, 2.087499, 2.08955, 2.090949, 2.091349, 2.089999, 2.086899, 
    2.082449, 2.07715, 2.0705, 2.0614, 2.04715, 2.02695, 2.005751, 1.981051, 
    1.949552, 1.908802, 1.873253, 1.838754, 0.9123615, 0, 0.3359488, 
    0.2015693, 0, 0.2418013, 0.7667536, 0.7023022, 0.6891518, 0.5829858, 
    0.3376985, 0.1012346, 0, 0, 0, 0, 0.06730004, 0.6742005, 0.6807504, 
    0.6971001, 0.7225994, 0.7579987, 0.802748, 0.8544973, 0.9179463, 
    0.9960455, 1.078245, 1.161145, 1.248145, 1.331146, 1.407246, 1.473546, 
    1.531347, 1.570798, 1.596498, 1.624297, 1.646947, 1.665447, 1.679247, 
    1.694796, 1.712946, 1.730245, 1.745495, 1.761095, 1.777995, 1.794896, 
    1.810996, 1.828146, 1.847347, 1.859497, 1.847248, 1.817149, 1.77085, 
    1.722001, 1.682752, 1.651202, 1.627703, 1.617004, 1.631504, 1.676104, 
    1.749504, 1.843053, 1.954753, 2.102153, 2.292804, 2.482455,
  2.605011, 2.660662, 2.751514, 2.823717, 2.870019, 2.887621, 2.856472, 
    2.792423, 2.733022, 2.695672, 2.694921, 2.719469, 2.755017, 2.793365, 
    2.830313, 2.857162, 2.871012, 2.876462, 2.871012, 2.859013, 2.859513, 
    2.878913, 2.907663, 2.923612, 2.919262, 2.903711, 2.88406, 2.862259, 
    2.829509, 2.779959, 2.706009, 2.638909, 2.612009, 2.635159, 2.70291, 
    2.783161, 2.858762, 2.924214, 2.977265, 3.009365, 3.019265, 3.004664, 
    2.959963, 2.900412, 2.854011, 2.82301, 2.80671, 2.80961, 2.834011, 
    2.895862, 3.087012, 3.373061, 3.659259, 3.894357, 4.060306, 4.141305, 
    4.163505, 4.144405, 4.060956, 3.850257, 3.61101, 3.411663, 3.306067, 
    3.29677, 3.346022, 3.410323, 3.468073, 3.509073, 3.527023, 3.505773, 
    3.414173, 3.271921, 3.142271, 3.04027, 2.985269, 2.98232, 2.982519, 
    2.984818, 3.000267, 3.032916, 3.063264, 1.986311, 1.366138, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5482493, 1.818498, 
    1.798998, 1.781098, 1.764748, 1.749998, 1.735598, 1.718898, 1.700648, 
    1.682998, 1.664298, 1.645048, 1.626798, 1.610747, 1.597147, 1.585947, 
    1.581196, 1.581746, 1.584396, 1.599946, 1.644448, 1.70325, 1.769401, 
    1.843303, 1.907554, 1.953755, 1.985606, 2.012206, 2.024156, 2.013754, 
    1.990403, 1.953102, 1.910351, 1.875751, 1.851301, 1.849501, 1.8662, 
    1.889, 1.9104, 1.93345, 1.956399, 1.977749, 1.997699, 2.013348, 2.015147, 
    2.015996, 2.014745, 2.009345, 2.000643, 0.9969963, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6176412, 
    1.238433, 2.367374, 2.463496, 2.422246, 2.383446, 2.346047, 2.305597, 
    2.252247, 2.196797, 2.142848, 2.103198, 2.084748, 2.078199, 2.074449, 
    2.07075, 2.068, 2.06665, 2.0672, 2.0704, 2.07425, 2.079149, 2.084999, 
    2.090849, 2.095249, 2.097899, 2.099949, 2.100699, 2.098999, 2.095549, 
    2.089949, 2.083199, 2.074499, 2.063, 2.04555, 2.020901, 1.995251, 
    1.965052, 1.926803, 1.882503, 1.839504, 1.786356, 0.1773007, 0, 
    0.3360768, 0.2016461, 0, 0.2268015, 0.7260039, 0.6820013, 0.6741007, 
    0.6728507, 0.6720008, 0.4344969, 0.2984317, 0, 0, 0, 0.3325393, 
    0.6720998, 0.6807494, 0.701299, 0.735548, 0.779747, 0.833746, 0.8957946, 
    0.9707934, 1.057743, 1.142992, 1.224743, 1.311193, 1.388994, 1.457994, 
    1.518945, 1.569096, 1.604396, 1.632496, 1.661295, 1.686945, 1.709495, 
    1.727244, 1.745344, 1.765444, 1.784694, 1.800744, 1.815745, 1.830495, 
    1.844795, 1.857745, 1.871046, 1.884847, 1.889497, 1.865499, 1.82435, 
    1.767401, 1.708902, 1.660503, 1.619454, 1.585855, 1.567155, 1.579506, 
    1.626505, 1.702905, 1.798055, 1.909255, 2.054056, 2.235657, 2.413259,
  2.499018, 2.545569, 2.617772, 2.668275, 2.695778, 2.69878, 2.659981, 
    2.59573, 2.53778, 2.505029, 2.515228, 2.555675, 2.607522, 2.66112, 
    2.711468, 2.746218, 2.763517, 2.771367, 2.763317, 2.745018, 2.740519, 
    2.75807, 2.78727, 2.80552, 2.806269, 2.797918, 2.786067, 2.771615, 
    2.743514, 2.696514, 2.623963, 2.557863, 2.532012, 2.551663, 2.611764, 
    2.682415, 2.748767, 2.805318, 2.851119, 2.880869, 2.89152, 2.879769, 
    2.843468, 2.793367, 2.753267, 2.724716, 2.708467, 2.707767, 2.726019, 
    2.77997, 2.965021, 3.258071, 3.55527, 3.799969, 3.974568, 4.060417, 
    4.084267, 4.065417, 3.980167, 3.760468, 3.49977, 3.275823, 3.141527, 
    3.10863, 3.141283, 3.196334, 3.252835, 3.296684, 3.317034, 3.299233, 
    3.213681, 3.082679, 2.963027, 2.872425, 2.822274, 2.819124, 2.827023, 
    2.836671, 2.86042, 2.899319, 2.942018, 2.979116, 2.687564, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09412128, 1.213548, 1.839247, 
    1.817947, 1.798597, 1.781097, 1.765747, 1.751097, 1.734447, 1.716947, 
    1.700497, 1.682647, 1.663597, 1.646247, 1.631997, 1.620897, 1.613546, 
    1.614195, 1.620244, 1.626993, 1.640043, 1.670495, 1.715247, 1.767699, 
    1.828851, 1.881203, 1.916755, 1.939706, 1.959208, 1.973008, 1.973756, 
    1.961554, 1.934803, 1.898402, 1.867002, 1.842951, 1.842201, 1.8629, 
    1.88975, 1.913099, 1.936999, 1.961049, 1.982999, 2.005299, 2.026499, 
    2.035498, 2.039998, 1.324417, 1.118629, 1.730941, 0.5066546, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.257506, 2.501194, 2.460493, 2.423993, 2.386292, 2.342493, 2.286993, 
    2.230443, 2.174844, 2.132644, 2.109495, 2.095447, 2.084098, 2.075799, 
    2.0715, 2.069649, 2.070199, 2.07355, 2.078249, 2.083999, 2.090549, 
    2.097649, 2.103249, 2.107099, 2.110398, 2.111698, 2.109748, 2.105348, 
    2.098948, 2.091399, 2.080749, 2.066249, 2.04455, 2.015201, 1.984251, 
    1.948053, 1.902804, 1.856254, 1.366139, 0.8802185, 0.1618038, 0.7210299, 
    0.3316488, 0, 0, 0.2166011, 0.7017522, 0.6734509, 0.6680509, 0.666351, 
    0.665251, 0.6631011, 0.6270409, 0.2295299, 0, 0, 0.332781, 0.6747495, 
    0.6884984, 0.7141474, 0.7560465, 0.8080454, 0.8704942, 0.9430928, 
    1.028191, 1.12189, 1.206991, 1.286141, 1.369042, 1.441643, 1.504993, 
    1.559944, 1.607494, 1.645493, 1.675243, 1.702893, 1.728843, 1.751944, 
    1.771244, 1.789494, 1.808494, 1.826895, 1.841995, 1.855695, 1.867995, 
    1.879546, 1.889496, 1.899097, 1.907848, 1.906548, 1.873999, 1.823251, 
    1.758502, 1.693752, 1.638503, 1.589904, 1.548055, 1.523906, 1.534506, 
    1.583256, 1.661606, 1.754806, 1.861258, 1.997109, 2.164762, 2.328164,
  2.380523, 2.416925, 2.468379, 2.499083, 2.510786, 2.503587, 2.462238, 
    2.399837, 2.344537, 2.315486, 2.336134, 2.392781, 2.458778, 2.525126, 
    2.585775, 2.626824, 2.646024, 2.655073, 2.645423, 2.620075, 2.608526, 
    2.621478, 2.648478, 2.667928, 2.673777, 2.672976, 2.669974, 2.663572, 
    2.64302, 2.601819, 2.533918, 2.471317, 2.446267, 2.462518, 2.514719, 
    2.576021, 2.633273, 2.682474, 2.721975, 2.749576, 2.759526, 2.749526, 
    2.718975, 2.675074, 2.638273, 2.609873, 2.591774, 2.586275, 2.597776, 
    2.643927, 2.821379, 3.11218, 3.41203, 3.661129, 3.840478, 3.929228, 
    3.953528, 3.934428, 3.848578, 3.625529, 3.35453, 3.114682, 2.958836, 
    2.907239, 2.925541, 2.971493, 3.026243, 3.074092, 3.098042, 3.085591, 
    3.010489, 2.894585, 2.791282, 2.715279, 2.673277, 2.673376, 2.691774, 
    2.711221, 2.744169, 2.790717, 2.842016, 2.883166, 2.606414, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9624044, 1.888095, 
    1.861995, 1.839745, 1.819546, 1.800946, 1.785246, 1.770596, 1.754046, 
    1.737596, 1.721496, 1.703296, 1.681697, 1.662597, 1.648747, 1.639797, 
    1.637296, 1.646144, 1.660242, 1.675041, 1.69004, 1.71424, 1.749491, 
    1.792092, 1.841844, 1.881896, 1.904249, 1.914352, 1.922404, 1.935005, 
    1.943004, 1.939453, 1.920152, 1.888351, 1.397927, 0.9194008, 0.9195009, 
    0.9311053, 1.421679, 1.243306, 0.9698701, 1.278961, 1.986999, 2.010349, 
    2.033499, 2.043549, 2.0465, 0.6141, 0.1023891, 0.7167235, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.2545995, 2.536245, 2.504242, 2.478888, 2.445987, 2.397588, 2.338989, 
    2.281439, 2.224739, 2.17929, 2.148991, 2.123594, 2.098397, 2.081349, 
    2.075749, 2.073299, 2.074149, 2.077699, 2.083249, 2.089849, 2.096149, 
    2.103949, 2.110998, 2.116998, 2.121848, 2.123698, 2.121498, 2.116148, 
    2.108948, 2.100748, 2.088748, 2.071149, 2.045, 2.010501, 1.974252, 
    1.932053, 1.880104, 1.829705, 0.9022527, 0.5699323, 0.8380369, 1.407763, 
    0.6470063, 0, 0.03723578, 0.4711014, 0.6897518, 0.6696004, 0.6635506, 
    0.6615006, 0.6602507, 0.6579506, 0.6561004, 0.5572126, 0.1639374, 0, 
    0.03361282, 0.4427392, 0.6997476, 0.732846, 0.7820445, 0.8413431, 
    0.9114916, 0.9924902, 1.085589, 1.183938, 1.267239, 1.343189, 1.42229, 
    1.49309, 1.55224, 1.602641, 1.648592, 1.687143, 1.716243, 1.741494, 
    1.765394, 1.786994, 1.804745, 1.821795, 1.839445, 1.855946, 1.869246, 
    1.880797, 1.890897, 1.899298, 1.906498, 1.912649, 1.9173, 1.91165, 
    1.874501, 1.817402, 1.747552, 1.678703, 1.619003, 1.564904, 1.517705, 
    1.490305, 1.498756, 1.546756, 1.624807, 1.713808, 1.812509, 1.935362, 
    2.086715, 2.232819,
  2.257029, 2.282232, 2.313536, 2.32634, 2.324293, 2.308595, 2.266395, 
    2.206594, 2.154293, 2.128592, 2.158791, 2.228288, 2.305786, 2.381884, 
    2.450083, 2.495282, 2.516032, 2.525931, 2.514682, 2.483783, 2.464535, 
    2.470486, 2.493787, 2.514487, 2.525536, 2.532034, 2.537982, 2.54068, 
    2.528778, 2.496576, 2.436673, 2.378122, 2.352772, 2.364874, 2.409175, 
    2.461277, 2.510029, 2.55283, 2.587132, 2.611932, 2.621782, 2.613781, 
    2.58853, 2.550479, 2.516528, 2.488178, 2.467628, 2.45758, 2.463531, 
    2.502382, 2.671284, 2.953037, 3.248289, 3.49664, 3.676891, 3.765291, 
    3.788292, 3.768592, 3.682192, 3.459692, 3.187291, 2.939392, 2.768894, 
    2.702597, 2.709299, 2.747851, 2.802101, 2.85465, 2.883049, 2.876447, 
    2.813544, 2.717539, 2.632785, 2.572181, 2.541478, 2.548676, 2.577024, 
    2.609571, 2.656017, 2.713365, 2.768764, 2.810864, 2.546811, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1059514, 1.053367, 1.027529, 1.00239, 
    1.850198, 1.914593, 1.888243, 1.865394, 1.844544, 1.825294, 1.809244, 
    1.794594, 1.778994, 1.763094, 1.746994, 1.726694, 1.700795, 1.678796, 
    1.664496, 1.657545, 1.660994, 1.679192, 1.703739, 1.728637, 1.753483, 
    1.780132, 1.812732, 1.851282, 1.894683, 1.924935, 1.933238, 1.929641, 
    1.924694, 1.929996, 1.939497, 1.939197, 1.920947, 1.607028, 0.466964, 0, 
    0, 0, 0.4764684, 0.285881, 0, 0.2971362, 0.9949561, 1.006811, 1.936745, 
    2.045949, 1.535485, 0.3071908, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1280087, 
    1.660008, 2.54899, 2.545883, 2.52313, 2.468232, 2.404983, 2.345584, 
    2.288034, 2.238935, 2.200237, 2.160491, 2.117145, 2.087399, 2.080499, 
    2.077799, 2.078699, 2.082999, 2.089498, 2.096349, 2.102648, 2.110748, 
    2.119498, 2.127548, 2.134197, 2.136347, 1.599742, 1.061386, 2.014296, 
    2.111947, 2.098747, 2.078198, 2.046999, 2.0073, 1.965752, 1.917903, 
    1.859804, 1.805305, 1.307311, 1.374143, 1.498913, 1.163996, 0.3153946, 0, 
    0.4040988, 0.725002, 0.6852499, 0.6682501, 0.6615502, 0.6588506, 
    0.6575004, 0.6558002, 0.65505, 0.6553, 0.4926744, 0.09880466, 0.03408436, 
    0.4482901, 0.7109978, 0.7527457, 0.8103937, 0.7360066, 0.4669641, 
    0.8913081, 1.144136, 1.244786, 1.326486, 1.398388, 1.473488, 1.54204, 
    1.596991, 1.643542, 1.685593, 1.720544, 1.746994, 1.769595, 1.790995, 
    1.811046, 1.826996, 1.842247, 1.857448, 1.871348, 1.882249, 1.891399, 
    1.8989, 1.9047, 1.909251, 1.912752, 1.914302, 1.905253, 1.865003, 
    1.806553, 1.736503, 1.667052, 1.606502, 1.550151, 1.501151, 1.471702, 
    1.478252, 1.524003, 1.597654, 1.679557, 1.767759, 1.874864, 2.007119, 
    2.133473,
  2.127536, 2.142238, 2.154693, 2.151047, 2.13705, 2.114302, 2.072052, 
    2.015501, 1.96705, 1.945898, 1.982447, 2.060395, 2.146044, 2.229242, 
    2.303341, 2.35109, 2.37329, 2.38359, 2.37064, 2.336441, 2.310292, 
    2.307945, 2.326097, 2.346897, 2.362795, 2.375894, 2.390491, 2.402439, 
    2.399537, 2.377734, 2.328381, 2.275879, 2.251278, 2.258879, 2.295581, 
    2.338834, 2.380535, 2.418037, 2.448637, 2.470638, 2.480538, 2.475388, 
    2.456536, 2.425184, 2.395032, 2.367682, 2.345132, 2.332033, 2.333534, 
    2.366535, 2.525138, 2.793142, 3.073797, 3.312102, 3.486005, 3.569607, 
    3.589058, 3.568258, 3.482408, 3.263556, 2.996554, 2.751602, 2.575752, 
    2.500353, 2.498805, 2.531906, 2.585457, 2.642206, 2.675304, 2.675153, 
    2.627998, 2.554342, 2.487787, 2.443283, 2.426629, 2.442376, 2.478274, 
    2.525371, 2.588966, 2.255778, 2.04787, 2.758562, 1.399402, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.094877, 2.124291, 2.070992, 2.021192, 
    1.978892, 1.944442, 1.917742, 1.895241, 1.873642, 1.854442, 1.838741, 
    1.824091, 1.809391, 1.793591, 1.776242, 1.751893, 1.721295, 1.695646, 
    1.681246, 1.676645, 1.687193, 1.71619, 1.752237, 1.790033, 1.831028, 
    1.867824, 1.905471, 1.947669, 1.991818, 2.011971, 2.007224, 1.991627, 
    1.973781, 1.968484, 1.973735, 1.969537, 1.846443, 0.6646559, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.9192422, 1.024048, 0.5120242, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.384656, 1.945086, 2.616032, 2.604829, 2.54388, 2.476231, 
    2.414532, 2.356681, 2.303133, 2.254736, 2.20004, 2.138294, 2.095098, 
    2.087248, 2.083948, 2.084748, 2.089648, 2.096498, 2.102998, 2.109598, 
    2.117898, 2.128248, 2.138597, 2.147146, 2.150496, 1.075248, 0, 1.921246, 
    2.125646, 2.111246, 2.087747, 2.051498, 2.00675, 1.960501, 1.907602, 
    1.843154, 1.785555, 1.708007, 1.593708, 1.456408, 0.9453551, 0.2666071, 
    0.4922861, 0.7821242, 0.722499, 0.6859997, 0.6677001, 0.6601005, 
    0.6572003, 0.6560003, 0.6551501, 0.6550499, 0.6557997, 0.6582496, 
    0.430975, 0.3723869, 0.6904987, 0.7204976, 0.7711452, 0.8383424, 
    0.625443, 0, 0.7839895, 1.202335, 1.304035, 1.381736, 1.448238, 1.517989, 
    1.581341, 1.631492, 1.673943, 1.712044, 1.742796, 1.766496, 1.786697, 
    1.805448, 1.822599, 1.836749, 1.84985, 1.861951, 1.872602, 1.881002, 
    1.888003, 1.892953, 1.896604, 1.898754, 1.900205, 1.899805, 1.888806, 
    1.846756, 1.789655, 1.723504, 1.657653, 1.599502, 1.544501, 1.495501, 
    1.464402, 1.469252, 1.512953, 1.579155, 1.651208, 1.726011, 1.814117, 
    1.924173, 2.029329,
  1.993042, 1.997945, 1.993749, 1.975054, 1.950307, 1.921709, 1.880208, 
    1.827407, 1.783306, 1.767554, 1.808503, 1.891102, 1.981551, 2.06955, 
    2.147749, 2.198048, 2.221548, 2.231748, 2.217598, 2.180749, 2.14905, 
    2.138702, 2.149555, 2.169355, 2.188555, 2.207753, 2.230051, 2.250698, 
    2.257046, 2.245892, 2.208238, 2.164435, 2.142035, 2.146235, 2.176038, 
    2.211689, 2.247541, 2.280242, 2.307244, 2.327344, 2.337294, 2.334993, 
    2.322142, 2.298339, 2.273787, 2.249236, 2.226686, 2.213085, 2.212036, 
    2.240737, 2.38779, 2.637247, 2.895055, 3.112963, 3.271968, 3.346822, 
    3.361074, 3.339973, 3.256922, 3.047268, 2.792563, 2.560258, 2.388905, 
    2.310855, 2.303307, 2.331808, 2.383659, 2.442109, 2.480057, 2.487904, 
    2.458099, 2.404844, 2.356288, 2.328033, 2.327828, 2.355973, 2.401019, 
    1.603092, 1.280535, 0.9154611, 1.353002, 1.773491, 0.1373842, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5936357, 1.160688, 2.10917, 2.15654, 
    2.10199, 2.05339, 2.01099, 1.976939, 1.950739, 1.929089, 1.907689, 
    1.889088, 1.873988, 1.859938, 1.844938, 1.828938, 1.808739, 1.778391, 
    1.741843, 1.711545, 1.695996, 1.693745, 1.711943, 1.752539, 1.800236, 
    1.853531, 1.913925, 1.968418, 2.020462, 2.076007, 2.131051, 2.142403, 
    2.127705, 2.102858, 2.07531, 2.061012, 2.058964, 2.043619, 0.9878275, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.330742, 2.679332, 2.673731, 2.608783, 2.539233, 2.477033, 2.418933, 
    2.361184, 2.302987, 2.234641, 2.157295, 2.105946, 2.097246, 2.093446, 
    2.094246, 2.098847, 2.104497, 2.110148, 2.116598, 2.124898, 2.136498, 
    2.150196, 1.294078, 2.166145, 1.083247, 0.7583347, 2.044379, 2.141345, 
    2.125745, 2.099646, 2.059447, 2.010198, 1.959749, 1.902301, 1.832052, 
    1.772453, 1.691503, 1.574853, 1.371943, 0.468237, 0.5352489, 0.989997, 
    0.8353969, 0.7216017, 0.6827523, 0.6663008, 0.6592001, 0.6567, 0.6555, 
    0.655, 0.6555497, 0.6570995, 0.6607489, 0.6664988, 0.678499, 0.6960481, 
    0.7322456, 0.7918928, 0.821319, 0.4739509, 0.2575919, 0.8235378, 
    1.258783, 1.358384, 1.429237, 1.488889, 1.552541, 1.610343, 1.655244, 
    1.693146, 1.727047, 1.754048, 1.774749, 1.7923, 1.808401, 1.822502, 
    1.834253, 1.844254, 1.853355, 1.860506, 1.866256, 1.870607, 1.873908, 
    1.875658, 1.876508, 1.877009, 1.875359, 1.863659, 1.822508, 1.769456, 
    1.709004, 1.648703, 1.594501, 1.5424, 1.493949, 1.4621, 1.465, 1.504652, 
    1.562105, 1.623059, 1.683263, 1.751519, 1.837827, 1.920884,
  1.863043, 1.859545, 1.84135, 1.810353, 1.775307, 1.73956, 1.697011, 
    1.64796, 1.608308, 1.596657, 1.640407, 1.724557, 1.816806, 1.907306, 
    1.988255, 2.041304, 2.067303, 2.078602, 2.063503, 2.023704, 1.987305, 
    1.970507, 1.97336, 1.989062, 2.008563, 2.031212, 2.058761, 2.087009, 
    2.101806, 2.100853, 2.075149, 2.041595, 2.023543, 2.025793, 2.050045, 
    2.079847, 2.110798, 2.139649, 2.16335, 2.181701, 2.191801, 2.19245, 
    2.185348, 2.169495, 2.151542, 2.131491, 2.112139, 2.101038, 2.100537, 
    2.126288, 2.258743, 2.483203, 2.711815, 2.901925, 3.039034, 3.101039, 
    3.110091, 3.089391, 3.012738, 2.82053, 2.58882, 2.37881, 2.221354, 
    2.147251, 2.136301, 2.161052, 2.209754, 2.267055, 2.307804, 2.321254, 
    2.304401, 2.269045, 2.236789, 2.222385, 2.241678, 2.288121, 1.757923, 
    0.3594983, 0.1290108, 1.299701, 1.336009, 1.357721, 1.365306, 0.9544899, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3733918, 1.818314, 2.339139, 2.255239, 
    2.18649, 2.133489, 2.086439, 2.044988, 2.011888, 1.987237, 1.966437, 
    1.946236, 1.929235, 1.914735, 1.901285, 1.886384, 1.869635, 1.845986, 
    1.808689, 1.764492, 1.728494, 1.710245, 1.709495, 1.733743, 1.78459, 
    1.843736, 1.913031, 1.994073, 2.071465, 2.145956, 2.223597, 2.299988, 
    2.309688, 2.289938, 2.260039, 2.22784, 2.20944, 2.201442, 1.389687, 
    0.1043721, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.6724644, 2.319719, 2.722737, 2.656736, 2.588236, 2.526735, 
    2.468735, 2.407536, 2.341488, 2.262491, 2.175793, 2.121494, 2.111494, 
    2.107444, 2.107695, 2.111045, 2.114996, 2.118597, 2.124147, 2.132397, 
    2.144997, 1.402121, 0.2168498, 1.416774, 1.639868, 1.852818, 2.170343, 
    2.158694, 2.142494, 2.114394, 2.070896, 2.017797, 1.963748, 1.902349, 
    1.82775, 1.766151, 1.685251, 1.569001, 1.300051, 0, 0.5409972, 1.004643, 
    0.8518921, 0.7222975, 0.5133646, 0.568167, 0.6651458, 0.6634954, 
    0.6634945, 0.6638439, 0.6654934, 0.668043, 0.6722433, 0.6767943, 
    0.6900431, 0.7113415, 0.7552391, 0.8229367, 0.8101861, 0.3169447, 
    0.8207889, 1.037566, 1.310683, 1.404436, 1.467738, 1.519841, 1.576943, 
    1.627996, 1.667748, 1.700849, 1.730151, 1.753802, 1.771503, 1.786054, 
    1.799405, 1.810756, 1.819507, 1.826508, 1.832809, 1.83691, 1.840261, 
    1.842561, 1.844411, 1.845012, 1.845262, 1.845512, 1.843862, 1.832012, 
    1.793261, 1.746459, 1.693006, 1.639554, 1.590252, 1.542, 1.495799, 
    1.463799, 1.465249, 1.498902, 1.546505, 1.596059, 1.642763, 1.692968, 
    1.755477, 1.816084,
  1.747541, 1.737394, 1.707947, 1.667101, 1.623054, 1.579007, 1.53151, 
    1.484509, 1.448558, 1.439207, 1.483757, 1.566758, 1.658559, 1.749659, 
    1.832308, 1.888207, 1.918306, 1.933354, 1.919352, 1.877803, 1.837054, 
    1.813807, 1.80841, 1.817163, 1.834314, 1.856715, 1.886315, 1.918514, 
    1.940562, 1.949308, 1.935653, 1.913848, 1.902296, 1.904395, 1.924047, 
    1.948649, 1.974801, 1.999553, 2.019355, 2.034257, 2.043557, 2.047606, 
    2.047953, 2.040949, 2.030796, 2.017492, 2.004639, 1.999736, 2.002784, 
    2.027184, 2.140043, 2.331058, 2.524323, 2.681536, 2.791747, 2.839052, 
    2.843604, 2.823654, 2.758049, 2.594785, 2.398069, 2.221304, 2.087893, 
    2.023489, 2.013288, 2.034589, 2.078191, 2.130295, 2.168546, 2.181597, 
    2.169497, 2.147144, 2.12804, 2.123287, 2.165527, 1.897227, 0.5731906, 0, 
    1.266724, 2.610493, 2.005475, 2.317833, 2.736397, 2.318036, 0.6789772, 0, 
    0, 0, 0, 0, 0, 0.4046884, 1.345214, 0.4024401, 0, 0.7508972, 2.46224, 
    2.368989, 2.28389, 2.215589, 2.164988, 2.119987, 2.080436, 2.048985, 
    2.026484, 2.007483, 1.989232, 1.974032, 1.960731, 1.947781, 1.933281, 
    1.915831, 1.888733, 1.844135, 1.791638, 1.749141, 1.726743, 1.725344, 
    1.753493, 1.81279, 1.883235, 1.968029, 2.070971, 2.175709, 2.278198, 
    2.385585, 2.491721, 2.505969, 2.487167, 2.458215, 2.428362, 2.41286, 
    1.775643, 0.3422631, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3336431, 0.5560719, 0, 0, 0, 0, 1.941441, 2.758687, 
    2.692687, 2.626237, 2.567485, 2.512283, 2.448184, 2.375987, 2.290838, 
    2.200389, 2.14389, 2.132241, 2.127241, 2.125742, 2.127443, 2.128744, 
    2.129695, 2.132797, 2.140247, 2.153996, 0.6487488, 0, 0.3293532, 
    1.650418, 2.199492, 2.190742, 2.178192, 2.161742, 2.131993, 2.085893, 
    2.030344, 1.973495, 1.908247, 1.830148, 1.769596, 1.689995, 1.574345, 
    1.305395, 0, 0.5529938, 1.028289, 0.832074, 0.3631792, 0.1738837, 
    0.2357312, 0.3708811, 0.6865875, 0.6889865, 0.6917353, 0.6950346, 
    0.6991838, 0.7019846, 0.7023367, 0.7166372, 0.7417361, 0.7902352, 
    0.8628841, 0.8498848, 0.3317945, 1.150481, 1.254832, 1.353735, 1.439839, 
    1.495492, 1.540294, 1.589498, 1.63365, 1.667753, 1.695555, 1.720207, 
    1.740058, 1.755009, 1.76716, 1.777911, 1.786662, 1.793012, 1.797963, 
    1.802313, 1.804464, 1.806264, 1.807715, 1.808465, 1.808515, 1.808515, 
    1.808515, 1.807315, 1.796414, 1.762262, 1.721809, 1.675507, 1.629204, 
    1.586001, 1.542799, 1.500597, 1.469646, 1.468998, 1.495651, 1.533454, 
    1.572358, 1.607763, 1.643867, 1.685374, 1.723583,
  1.668522, 1.654872, 1.619922, 1.573873, 1.525273, 1.476674, 1.424725, 
    1.376776, 1.341776, 1.330229, 1.370133, 1.447537, 1.53479, 1.622043, 
    1.701496, 1.756698, 1.78755, 1.804051, 1.7927, 1.751849, 1.7083, 
    1.679101, 1.665954, 1.668107, 1.682058, 1.703009, 1.732309, 1.765409, 
    1.792308, 1.809754, 1.809099, 1.799743, 1.795291, 1.797491, 1.811594, 
    1.830147, 1.85005, 1.868553, 1.881456, 1.890709, 1.897061, 1.903411, 
    1.911508, 1.913854, 1.91305, 1.908746, 1.905141, 1.909187, 1.919533, 
    1.943883, 2.032694, 2.184161, 2.339327, 2.462641, 2.547101, 2.582355, 
    2.583856, 2.565754, 2.514798, 2.39008, 2.23706, 2.100143, 1.999277, 
    1.951419, 1.946515, 1.965066, 2.00162, 2.045972, 2.079025, 2.090375, 
    2.078974, 2.068768, 2.062512, 2.070255, 2.029236, 0.7689016, 0, 
    0.8791537, 2.439112, 2.657318, 2.718475, 2.749883, 2.75199, 2.732045, 
    2.033178, 1.334317, 0.2635263, 0.9141241, 0, 0.9249648, 1.329471, 
    1.744757, 2.687254, 1.73606, 1.316932, 1.663978, 2.484742, 2.393341, 
    2.310039, 2.244888, 2.195987, 2.153037, 2.115486, 2.086435, 2.066234, 
    2.049882, 2.034631, 2.02133, 2.00898, 1.996629, 1.982779, 1.965678, 
    1.935979, 1.884932, 1.824685, 1.775138, 1.74749, 1.743292, 1.773241, 
    1.839039, 1.919236, 2.019379, 2.146269, 2.280506, 2.415442, 2.558426, 
    2.704006, 2.745187, 2.735631, 2.717324, 2.701514, 2.269571, 0.6327863, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09142239, 
    1.275084, 1.601835, 1.143929, 1.240797, 1.310138, 1.36634, 2.380987, 
    2.791437, 2.724138, 2.660236, 2.605434, 2.554383, 2.488983, 2.412484, 
    2.324785, 2.232335, 2.173436, 2.159987, 2.153188, 2.149189, 2.147541, 
    2.145492, 2.143094, 2.142845, 2.148097, 1.618958, 0.3254758, 0, 0, 
    1.111996, 2.220492, 2.211242, 2.198192, 2.181492, 2.150792, 2.104791, 
    2.048691, 1.989992, 1.922192, 1.843091, 1.78694, 1.70874, 1.589593, 
    1.315647, 0, 0.5629983, 1.043399, 0.7992014, 0, 0, 0, 0.03512977, 
    0.4671501, 0.739472, 0.7442716, 0.7489712, 0.7530721, 0.7519746, 
    0.746677, 0.7583787, 0.7842293, 0.8324805, 0.9045323, 0.5367326, 
    0.5501208, 0.9019813, 1.294836, 1.38489, 1.462893, 1.510746, 1.54775, 
    1.589103, 1.626506, 1.654259, 1.676761, 1.696763, 1.712814, 1.725015, 
    1.735116, 1.744367, 1.751517, 1.756767, 1.760617, 1.763418, 1.764818, 
    1.766018, 1.766868, 1.767069, 1.767518, 1.767518, 1.767518, 1.765869, 
    1.756568, 1.729015, 1.695512, 1.656059, 1.616856, 1.580254, 1.543301, 
    1.506998, 1.479796, 1.476496, 1.495599, 1.524903, 1.554606, 1.580759, 
    1.606912, 1.635166, 1.657919,
  1.619022, 1.604673, 1.568873, 1.521723, 1.472273, 1.422474, 1.368725, 
    1.318825, 1.282026, 1.266927, 1.29918, 1.368583, 1.447787, 1.52769, 
    1.600243, 1.651744, 1.680795, 1.695845, 1.686644, 1.648293, 1.604792, 
    1.571793, 1.552945, 1.549847, 1.561049, 1.580649, 1.6079, 1.640051, 
    1.669051, 1.692799, 1.704094, 1.707288, 1.710285, 1.713284, 1.720587, 
    1.730541, 1.741796, 1.751301, 1.755006, 1.75636, 1.758562, 1.764612, 
    1.776912, 1.788907, 1.798302, 1.804896, 1.81349, 1.828235, 1.847281, 
    1.87298, 1.93839, 2.051057, 2.169573, 2.263235, 2.327843, 2.355396, 
    2.356596, 2.341344, 2.304288, 2.22012, 2.113049, 2.016131, 1.947368, 
    1.917511, 1.919009, 1.937308, 1.969608, 2.009409, 2.03951, 2.05036, 
    2.048152, 2.057541, 2.071229, 2.101366, 1.072294, 0, 0, 0.880716, 
    2.525521, 2.738659, 2.781219, 2.793329, 2.776888, 2.743694, 2.709, 
    2.666604, 1.570232, 2.213244, 1.30354, 2.238291, 2.654257, 2.675555, 
    2.678753, 2.667601, 2.638947, 2.584541, 2.507488, 2.419586, 2.339485, 
    2.276384, 2.228234, 2.186384, 2.150034, 2.122883, 2.104482, 2.090282, 
    2.078031, 2.06678, 2.055979, 2.045177, 2.032727, 2.016327, 1.985477, 
    1.929779, 1.862232, 1.805485, 1.771738, 1.76354, 1.793041, 1.86304, 
    1.950487, 2.064531, 2.21617, 2.382404, 2.552687, 2.735917, 2.929143, 
    3.021168, 3.030607, 3.035144, 2.885927, 1.005432, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.254083, 2.483201, 2.635088, 2.754981, 2.833578, 2.831178, 2.761129, 
    2.697731, 2.644831, 2.595781, 2.53068, 2.45348, 2.365429, 2.27133, 
    2.210481, 2.194982, 2.185433, 2.178035, 2.171488, 2.16549, 2.159142, 
    2.154444, 2.156945, 1.080748, 0, 0, 0, 1.120996, 2.238842, 2.229742, 
    2.216692, 2.200241, 2.170491, 2.12629, 2.071838, 2.013488, 1.946386, 
    1.868786, 1.816184, 1.736236, 1.60869, 1.327742, 0, 0.5687465, 0.6943752, 
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    0.8240647, 0.8172173, 0.8068693, 0.8149707, 0.8386221, 0.8832242, 
    0.6029994, 0.522154, 0.3811532, 0.6324967, 1.316446, 1.396051, 1.464806, 
    1.506008, 1.538808, 1.57456, 1.605813, 1.629264, 1.647815, 1.663367, 
    1.676068, 1.68577, 1.69442, 1.702421, 1.708871, 1.713521, 1.716772, 
    1.718472, 1.719322, 1.720272, 1.720872, 1.721072, 1.721523, 1.721523, 
    1.721523, 1.719423, 1.711872, 1.691268, 1.664366, 1.632062, 1.600009, 
    1.569756, 1.539153, 1.50995, 1.488847, 1.485246, 1.497749, 1.519452, 
    1.541806, 1.560758, 1.579712, 1.600615, 1.615768,
  1.573022, 1.558322, 1.521923, 1.475471, 1.428519, 1.380866, 1.329213, 
    1.280661, 1.242761, 1.226212, 1.252615, 1.314119, 1.384274, 1.454081, 
    1.516937, 1.561692, 1.588045, 1.603544, 1.596893, 1.563839, 1.523287, 
    1.489386, 1.467537, 1.462536, 1.472536, 1.490587, 1.514839, 1.543591, 
    1.572042, 1.599091, 1.619188, 1.632734, 1.641532, 1.646131, 1.648932, 
    1.650486, 1.651041, 1.649147, 1.643602, 1.638454, 1.637305, 1.641057, 
    1.654356, 1.673504, 1.693049, 1.712942, 1.736184, 1.761829, 1.787776, 
    1.816874, 1.863882, 1.945145, 2.032808, 2.104017, 2.153974, 2.176876, 
    2.179075, 2.167623, 2.141318, 2.092702, 2.024786, 1.96247, 1.91771, 
    1.902153, 1.914745, 1.940637, 1.974935, 2.013885, 2.043735, 2.054685, 
    2.064132, 2.099918, 1.58826, 1.069977, 0.1076583, 0, 0, 0, 2.497301, 
    2.824807, 2.84447, 2.835431, 2.802188, 2.757442, 2.714745, 2.663998, 
    2.6145, 2.59705, 2.60975, 2.626999, 2.649148, 2.670849, 2.67575, 
    2.666651, 2.645646, 2.601842, 2.531489, 2.448536, 2.370885, 2.308535, 
    2.260984, 2.219734, 2.184083, 2.158183, 2.140733, 2.128182, 2.118031, 
    2.10873, 2.099729, 2.090729, 2.079728, 2.064627, 2.033477, 1.973979, 
    1.900181, 1.836335, 1.796238, 1.783091, 1.809843, 1.881742, 1.97499, 
    2.100435, 2.275723, 2.475107, 2.682688, 2.910215, 3.155338, 3.303759, 
    3.340843, 3.380023, 3.092916, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.376457, 2.664283, 2.799725, 2.887919, 2.88447, 2.809374, 2.743725, 
    2.689276, 2.639377, 2.574977, 2.498727, 2.411626, 2.317276, 2.254876, 
    2.236728, 2.22348, 2.211532, 2.200135, 2.188738, 2.17769, 2.167643, 
    1.841073, 0.5420455, 0, 0, 0, 1.129246, 2.255692, 2.246792, 2.234191, 
    2.218241, 2.19074, 2.149438, 2.099085, 2.043483, 1.978782, 1.903181, 
    1.855028, 1.774227, 1.644425, 1.358827, 0, 0.2865384, 0.171923, 0, 0, 0, 
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    0.8827569, 0.8870591, 0.907411, 0.9462145, 0.2899399, 0.4212239, 
    0.1816169, 0.9399434, 1.320001, 1.388157, 1.446712, 1.482764, 1.515315, 
    1.547117, 1.574218, 1.596019, 1.612919, 1.625869, 1.63597, 1.643771, 
    1.651222, 1.657972, 1.663573, 1.667523, 1.670074, 1.671424, 1.671674, 
    1.672024, 1.672374, 1.672525, 1.672375, 1.672025, 1.671676, 1.669875, 
    1.664174, 1.650271, 1.629368, 1.604015, 1.578662, 1.555258, 1.531155, 
    1.509351, 1.494698, 1.492247, 1.49925, 1.514403, 1.529806, 1.542759, 
    1.555362, 1.570065, 1.578768,
  1.531521, 1.516821, 1.480721, 1.438467, 1.397264, 1.355011, 1.308658, 
    1.264406, 1.228754, 1.211653, 1.232006, 1.284412, 1.34252, 1.398877, 
    1.449184, 1.485038, 1.50654, 1.521042, 1.51779, 1.492985, 1.458531, 
    1.428277, 1.408075, 1.404824, 1.415523, 1.431824, 1.452226, 1.475879, 
    1.500782, 1.527783, 1.551782, 1.570332, 1.581032, 1.585432, 1.586233, 
    1.582835, 1.576537, 1.567088, 1.55524, 1.546342, 1.543043, 1.545343, 
    1.559043, 1.581841, 1.608289, 1.637886, 1.671583, 1.70568, 1.737027, 
    1.770125, 1.810424, 1.870483, 1.936042, 1.992149, 2.033352, 2.054152, 
    2.058051, 2.050748, 2.032295, 2.005089, 1.966275, 1.930263, 1.902505, 
    1.905293, 1.935733, 1.978422, 2.024412, 2.073251, 2.109694, 2.123042, 
    2.033603, 1.06726, 0.5413383, 0, 0, 0, 0, 0, 2.583808, 2.895519, 
    2.890982, 2.861592, 2.818795, 2.768896, 2.721998, 2.66565, 2.613251, 
    2.5967, 2.610499, 2.629199, 2.652349, 2.6719, 2.676, 2.668897, 2.654944, 
    2.617342, 2.552739, 2.474137, 2.398736, 2.336686, 2.289736, 2.249435, 
    2.215034, 2.189834, 2.173483, 2.162383, 2.153632, 2.146681, 2.13923, 
    2.131429, 2.121778, 2.108428, 2.077477, 2.015378, 1.93658, 1.866333, 
    1.820237, 1.80179, 1.824492, 1.894894, 1.990244, 2.12479, 2.32083, 
    2.551014, 2.795444, 3.066822, 3.364244, 3.569163, 3.642841, 3.729461, 
    3.453157, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0.5585917, 0, 0, 0, 1.136235, 1.76265, 2.847225, 2.945471, 
    2.942019, 2.860323, 2.791725, 2.733977, 2.682029, 2.618128, 2.543227, 
    2.458874, 2.366623, 2.303773, 2.282724, 2.265526, 2.248529, 2.231782, 
    2.214735, 2.197689, 2.182292, 1.524245, 0, 0, 0, 0, 1.137496, 2.272191, 
    2.263341, 2.251341, 2.23624, 2.210989, 2.173537, 2.128284, 2.077481, 
    2.016528, 1.943826, 1.899026, 1.821224, 1.697569, 1.40867, 0, 0, 0, 0, 0, 
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    0.9761949, 0.9780951, 0.9934486, 0.7539978, 0.1501632, 0.5185353, 
    0.7826437, 1.250244, 1.316653, 1.372709, 1.421664, 1.453766, 1.484468, 
    1.512769, 1.537421, 1.558521, 1.57612, 1.587421, 1.595672, 1.602273, 
    1.608173, 1.614424, 1.619424, 1.622774, 1.624724, 1.625924, 1.626024, 
    1.626024, 1.626024, 1.625974, 1.625225, 1.624275, 1.623325, 1.621875, 
    1.618024, 1.609521, 1.594368, 1.575964, 1.55731, 1.540757, 1.523503, 
    1.508799, 1.499946, 1.497248, 1.4991, 1.508354, 1.517457, 1.52476, 
    1.531713, 1.540516, 1.54292,
  1.49452, 1.48017, 1.447867, 1.411963, 1.376759, 1.339806, 1.298553, 
    1.258301, 1.225999, 1.209449, 1.223603, 1.263312, 1.30727, 1.349828, 
    1.388385, 1.41634, 1.433542, 1.445493, 1.445641, 1.430036, 1.405279, 
    1.382624, 1.368519, 1.369915, 1.382015, 1.396915, 1.413517, 1.430871, 
    1.450275, 1.473878, 1.496829, 1.515181, 1.524782, 1.527383, 1.525785, 
    1.520235, 1.511786, 1.499838, 1.485139, 1.472741, 1.468042, 1.470691, 
    1.486139, 1.512387, 1.543035, 1.577182, 1.616629, 1.657175, 1.694271, 
    1.732068, 1.774416, 1.82372, 1.876025, 1.923078, 1.96003, 1.98043, 
    1.98603, 1.982178, 1.968826, 1.950272, 1.930015, 1.910459, 1.895153, 
    1.921538, 1.972725, 2.036162, 2.10245, 2.171388, 2.22068, 1.43337, 
    0.9936604, 0, 0, 0, 0, 0, 0, 0, 2.651216, 2.948122, 2.922233, 2.876741, 
    2.827345, 2.773199, 2.721503, 2.661754, 2.609903, 2.596001, 2.61075, 
    2.629351, 2.652202, 2.670402, 2.676, 2.673198, 2.663446, 2.629894, 
    2.569492, 2.49439, 2.421139, 2.359838, 2.313737, 2.274637, 2.241486, 
    2.217285, 2.202484, 2.192583, 2.185133, 2.179632, 2.173981, 2.16763, 
    2.160178, 2.148227, 2.117977, 2.054478, 1.972529, 1.898131, 1.846733, 
    1.822986, 1.84034, 1.904196, 1.996249, 2.13345, 2.343045, 2.598533, 
    2.876465, 3.188342, 3.532917, 3.781449, 3.899121, 4.036743, 3.772784, 0, 
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    0.5817191, 0.6197337, 0, 0, 0, 0, 0.4216925, 1.436678, 1.488038, 
    2.829715, 2.89374, 2.823489, 2.765488, 2.713237, 2.651385, 2.579982, 
    2.500878, 2.414024, 2.353671, 2.329723, 2.308575, 2.286029, 2.263432, 
    2.240985, 2.218188, 2.19834, 1.533694, 0, 0, 0, 0, 1.144996, 2.286842, 
    2.278392, 2.267491, 2.25374, 2.230889, 2.196587, 2.155485, 2.109982, 
    2.054329, 1.986426, 1.942026, 1.867724, 1.75142, 1.459423, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.3346291, 1.115682, 1.114183, 1.102434, 1.085337, 1.081938, 
    1.084483, 1.086033, 1.095536, 0.5519696, 0, 1.066617, 1.224674, 1.268485, 
    1.318595, 1.361753, 1.401958, 1.433756, 1.463455, 1.492353, 1.519299, 
    1.544494, 1.567239, 1.581434, 1.59223, 1.599978, 1.605278, 1.610829, 
    1.61473, 1.616981, 1.617483, 1.616385, 1.613888, 1.610992, 1.607046, 
    1.602402, 1.596657, 1.591761, 1.587565, 1.582969, 1.577821, 1.571771, 
    1.561519, 1.549066, 1.537462, 1.527009, 1.516205, 1.507702, 1.502601, 
    1.499001, 1.497152, 1.500405, 1.503609, 1.505761, 1.507564, 1.510518, 
    1.50767,
  1.462518, 1.450266, 1.424312, 1.394958, 1.365754, 1.333751, 1.296949, 
    1.259747, 1.229247, 1.212397, 1.218603, 1.243212, 1.273021, 1.302129, 
    1.328637, 1.348792, 1.362793, 1.373644, 1.376992, 1.370536, 1.357279, 
    1.344023, 1.338367, 1.345664, 1.359513, 1.373363, 1.386316, 1.397369, 
    1.410523, 1.428228, 1.447381, 1.463082, 1.470034, 1.470336, 1.466936, 
    1.460936, 1.451536, 1.438636, 1.422137, 1.407788, 1.401539, 1.405088, 
    1.423686, 1.453784, 1.488531, 1.527128, 1.569628, 1.612929, 1.652779, 
    1.693329, 1.738577, 1.785277, 1.830281, 1.871784, 1.905985, 1.929631, 
    1.940026, 1.94202, 1.935914, 1.921712, 1.910758, 1.900503, 1.901839, 
    1.954821, 2.030704, 1.351199, 1.074092, 1.113742, 1.141677, 0.3446807, 0, 
    0, 0, 0, 0.1483142, 1.488535, 1.507112, 1.517998, 2.862272, 2.993823, 
    2.949984, 2.892141, 2.8316, 2.768756, 2.710261, 2.648961, 2.600908, 
    2.590806, 2.606006, 2.624355, 2.646705, 2.664855, 2.672754, 2.672603, 
    2.664952, 2.633651, 2.577248, 2.507194, 2.436642, 2.377141, 2.33224, 
    2.295039, 2.263537, 2.241086, 2.227486, 2.219135, 2.213134, 2.209382, 
    2.206729, 2.203726, 2.200622, 2.192019, 2.162469, 2.098618, 2.016368, 
    1.939719, 1.883722, 1.852927, 1.860635, 1.912494, 1.995502, 2.128905, 
    2.343304, 2.615896, 2.920982, 3.26946, 3.656634, 3.938113, 4.098888, 
    4.279264, 4.275648, 1.696425, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.293082, 2.265235, 2.237738, 2.103529, 0.7702625, 0, 0, 0, 0, 0.5749685, 
    1.148185, 2.176436, 2.282291, 2.27024, 2.250138, 2.219036, 2.181034, 
    2.140231, 2.090327, 2.028623, 1.689143, 0.9461824, 0.8897118, 0.7423777, 
    0, 0, 0, 0, 0, 0, 0, 0.06297112, 0.8069307, 1.220691, 1.220938, 1.211335, 
    1.193632, 1.189931, 1.200926, 1.205023, 1.208427, 0.605965, 0, 1.128508, 
    1.275015, 1.300725, 1.335534, 1.366191, 1.401992, 1.438238, 1.473781, 
    1.510974, 1.548315, 1.584706, 1.619696, 1.645237, 1.66483, 1.677676, 
    1.683875, 1.688226, 1.690077, 1.689429, 1.685633, 1.678238, 1.667895, 
    1.656202, 1.64171, 1.624371, 1.605781, 1.58974, 1.575799, 1.562106, 
    1.550112, 1.541016, 1.531917, 1.523165, 1.516663, 1.51151, 1.506706, 
    1.502105, 1.498754, 1.495504, 1.492254, 1.490457, 1.48841, 1.485763, 
    1.482766, 1.480718, 1.475519,
  1.436515, 1.428113, 1.408858, 1.386303, 1.3625, 1.335197, 1.302294, 
    1.267043, 1.237493, 1.219144, 1.21635, 1.227258, 1.243517, 1.260125, 
    1.275431, 1.288885, 1.300287, 1.310637, 1.316736, 1.317432, 1.313777, 
    1.309771, 1.312167, 1.324114, 1.338764, 1.350966, 1.359819, 1.366022, 
    1.373275, 1.384729, 1.399381, 1.411334, 1.416035, 1.415135, 1.411435, 
    1.405435, 1.396035, 1.383135, 1.365636, 1.349687, 1.341039, 1.342543, 
    1.360246, 1.390448, 1.42605, 1.465852, 1.507203, 1.549454, 1.589304, 
    1.630203, 1.67965, 1.731093, 1.776539, 1.818135, 1.854931, 1.886724, 
    1.905519, 1.916612, 1.921605, 1.914447, 1.906997, 1.901645, 1.92603, 
    1.69373, 1.035129, 0.3164716, 0, 0, 0, 0, 0, 0, 0, 0, 1.529254, 3.044715, 
    3.072178, 3.084241, 3.077057, 3.035972, 2.974485, 2.89935, 2.819666, 
    2.74862, 2.685022, 2.62527, 2.58671, 2.587748, 2.604496, 2.624394, 
    2.648043, 2.665843, 2.674493, 2.675443, 2.666795, 2.631801, 2.574505, 
    2.510202, 2.443699, 2.387745, 2.345243, 2.310791, 2.281539, 2.260888, 
    2.248737, 2.241836, 2.238184, 2.237931, 2.239728, 2.242574, 2.246568, 
    2.243464, 2.214464, 2.150814, 2.069264, 1.991015, 1.92922, 1.889126, 
    1.882986, 1.918748, 1.989256, 2.117859, 2.333658, 2.619848, 2.948483, 
    3.329612, 3.757486, 4.078007, 4.272388, 4.489165, 4.759238, 3.49427, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2856104, 
    0.9800467, 1.068982, 0.1095092, 0, 0, 0, 0, 0, 0, 0, 0.1451934, 1.443073, 
    2.097711, 2.748873, 2.708917, 2.660861, 2.604505, 2.545345, 2.485034, 
    2.441826, 2.416225, 2.387826, 2.35413, 2.321032, 2.288984, 2.257287, 
    2.00734, 0, 0, 0, 0, 0, 0, 0, 1.150275, 2.296091, 2.285241, 2.26704, 
    2.238989, 2.204087, 2.167734, 2.122631, 2.066428, 1.426584, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.653146, 1.29211, 1.300456, 1.309498, 1.308789, 
    1.298084, 1.296431, 1.313678, 1.320178, 1.319579, 0.6599653, 0, 1.193158, 
    1.328866, 1.337477, 1.360434, 1.382937, 1.420634, 1.466975, 1.518211, 
    1.573045, 1.62928, 1.683915, 1.7375, 1.781435, 1.815474, 1.837366, 
    1.845614, 1.849115, 1.848966, 1.843869, 1.834223, 1.818579, 1.797985, 
    1.774393, 1.746952, 1.713213, 1.676975, 1.646185, 1.618894, 1.593252, 
    1.572108, 1.555714, 1.542468, 1.532172, 1.525124, 1.520477, 1.515831, 
    1.508986, 1.501692, 1.494497, 1.487652, 1.480057, 1.472711, 1.465513, 
    1.458665, 1.453017, 1.447817,
  1.419008, 1.414106, 1.401352, 1.384998, 1.365995, 1.343142, 1.31409, 
    1.280189, 1.250489, 1.229542, 1.219197, 1.219402, 1.224259, 1.230166, 
    1.236123, 1.243627, 1.252778, 1.262628, 1.269928, 1.274626, 1.276274, 
    1.278272, 1.284422, 1.296025, 1.307279, 1.315733, 1.320786, 1.322339, 
    1.324792, 1.332144, 1.343995, 1.355143, 1.36154, 1.363386, 1.360934, 
    1.355583, 1.346533, 1.333633, 1.315483, 1.296785, 1.284289, 1.280542, 
    1.292297, 1.317552, 1.349805, 1.386957, 1.425809, 1.466959, 1.507309, 
    1.549758, 1.603355, 1.662052, 1.715296, 1.764339, 1.810381, 1.851324, 
    1.879018, 1.900061, 1.917251, 1.922891, 1.920235, 1.915485, 1.06804, 
    0.7051984, 0, 0, 0, 0.407122, 1.368307, 1.392124, 0.1397516, 0, 0, 0, 
    1.545731, 3.170912, 3.180423, 3.171739, 3.140706, 3.083662, 3.005223, 
    2.907888, 2.805104, 2.722016, 2.653771, 2.600914, 1.420245, 1.296435, 
    1.305598, 2.266814, 2.696738, 2.71319, 2.719943, 2.718297, 2.700757, 
    2.649274, 2.578489, 2.507002, 2.442703, 2.391799, 2.353246, 2.321694, 
    2.295442, 2.27699, 2.266738, 2.261387, 2.260735, 2.264632, 2.271728, 
    2.282321, 2.295914, 2.299558, 2.272456, 2.210354, 2.129603, 2.049304, 
    1.981209, 1.931315, 1.908828, 1.925842, 1.984001, 2.107605, 2.326951, 
    2.629238, 2.981971, 3.391752, 3.855778, 4.217352, 4.437884, 4.685366, 
    4.991045, 3.674882, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.0437379, 0.5764759, 0.9105489, 0.6356278, 0.05137273, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.6892258, 1.367586, 2.54112, 2.637222, 2.593261, 2.549299, 
    2.505888, 2.474629, 2.449979, 2.420779, 2.38333, 2.348081, 2.313732, 
    2.277985, 2.02209, 0, 0, 0, 0, 0, 0, 0, 0.1154134, 1.498941, 2.29874, 
    2.282089, 2.256487, 2.224785, 2.192981, 2.152428, 2.101673, 1.45283, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.4767232, 1.212157, 0.661837, 1.020944, 
    1.385997, 1.392695, 1.392736, 1.394933, 1.413585, 1.417638, 1.412094, 
    1.063963, 0.2156938, 1.247917, 1.37587, 1.367731, 1.381288, 1.403385, 
    1.449376, 1.515209, 1.591887, 1.675014, 1.75984, 1.840868, 1.920497, 
    1.990176, 2.045808, 2.079799, 2.090697, 2.093897, 2.091349, 2.081802, 
    2.066655, 2.042462, 2.011569, 1.976327, 1.935487, 1.885049, 1.830861, 
    1.785122, 1.744631, 1.70724, 1.675947, 1.651153, 1.63021, 1.612166, 
    1.598073, 1.58668, 1.573538, 1.556298, 1.536659, 1.51772, 1.50018, 
    1.482589, 1.466398, 1.453004, 1.441358, 1.432661, 1.427111,
  1.423484, 1.419635, 1.409735, 1.395586, 1.378736, 1.357687, 1.329538, 
    1.295689, 1.265489, 1.24229, 1.227591, 1.221594, 1.218748, 1.216953, 
    1.216256, 1.219358, 1.22601, 1.234762, 1.241513, 1.246764, 1.249265, 
    1.251767, 1.25607, 1.261076, 1.263784, 1.264043, 1.26245, 1.259153, 
    1.257806, 1.263456, 1.275255, 1.289852, 1.301798, 1.310941, 1.315732, 
    1.314676, 1.307274, 1.294275, 1.274876, 1.253378, 1.236281, 1.226536, 
    1.230792, 1.248549, 1.275304, 1.308707, 1.344909, 1.38496, 1.42581, 
    1.470158, 1.527056, 1.591102, 1.651298, 1.711139, 1.766883, 1.816926, 
    1.85352, 1.884862, 1.915801, 1.934991, 1.45247, 0.9643466, 0.09634453, 0, 
    0, 0, 0.1398895, 1.817243, 2.811893, 2.850357, 1.612145, 1.503488, 
    0.7648491, 0, 1.636324, 3.270793, 3.265703, 3.242409, 3.197861, 3.133266, 
    3.041475, 2.924488, 2.800703, 2.699367, 2.626019, 2.587656, 0.2581501, 0, 
    0.6986987, 2.358865, 2.790974, 2.804626, 2.806431, 2.79599, 2.761105, 
    2.684524, 2.59299, 2.501456, 2.436656, 2.390852, 2.356499, 2.328446, 
    2.305394, 2.289442, 2.280741, 2.27729, 2.279837, 2.288633, 2.302228, 
    2.32212, 2.346961, 2.361351, 2.340944, 2.28309, 2.205236, 2.123536, 
    2.050939, 1.992345, 1.953706, 1.952418, 1.997978, 2.117031, 2.345072, 
    2.668154, 3.047682, 3.486009, 3.983634, 4.389445, 4.64606, 4.921587, 
    5.257315, 3.873626, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4379229, 0.8764992, 0.8764992, 0.2629498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.323598, 2.603528, 2.580508, 2.551897, 2.524386, 2.501581, 
    2.47848, 2.44943, 2.41083, 2.374281, 2.337733, 2.298385, 2.035241, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.3470206, 1.732113, 2.296989, 2.274486, 2.246483, 
    2.219979, 2.185774, 2.142367, 1.483625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9848548, 1.282241, 0, 0.3542815, 1.243621, 1.47783, 1.486826, 1.493672, 
    1.508926, 1.50109, 1.481755, 1.466465, 0.9485228, 1.355673, 1.405538, 
    1.384994, 1.390699, 1.417345, 1.47928, 1.574705, 1.685526, 1.807043, 
    1.93051, 2.046581, 2.160552, 2.264872, 2.350446, 2.40123, 2.418074, 
    2.422122, 2.417024, 2.403477, 2.382581, 2.350237, 2.308795, 2.262004, 
    2.207514, 2.140376, 2.06839, 2.007551, 1.953712, 1.904271, 1.862628, 
    1.828586, 1.798043, 1.769552, 1.744461, 1.72212, 1.695931, 1.662595, 
    1.624761, 1.588675, 1.555038, 1.522651, 1.493961, 1.471718, 1.453323, 
    1.439728, 1.431132,
  1.461956, 1.456008, 1.442214, 1.424319, 1.404224, 1.37958, 1.347085, 
    1.309889, 1.27924, 1.255939, 1.241887, 1.234336, 1.228237, 1.222838, 
    1.21884, 1.219891, 1.22499, 1.232541, 1.237792, 1.239347, 1.238502, 
    1.236956, 1.234863, 1.230371, 1.22203, 1.21054, 1.198898, 1.191401, 
    1.188052, 1.1945, 1.210295, 1.230489, 1.250032, 1.268874, 1.285464, 
    1.292707, 1.288504, 1.276253, 1.254256, 1.227861, 1.204517, 1.187474, 
    1.182782, 1.191589, 1.211045, 1.2389, 1.271504, 1.309806, 1.350556, 
    1.396206, 1.455355, 1.523902, 1.589298, 1.658542, 1.721987, 1.780381, 
    1.825524, 1.867515, 1.913004, 1.653008, 0.4870223, 0, 0, 0, 0, 0, 
    0.2874884, 2.891539, 2.939411, 2.958228, 2.983943, 3.038307, 1.543482, 0, 
    1.64588, 3.325822, 3.317967, 3.291915, 3.244167, 3.172973, 3.07073, 
    2.937342, 2.660071, 1.346235, 1.951802, 2.582602, 1.448107, 1.372866, 
    2.126344, 2.868315, 2.895664, 2.904769, 2.899675, 2.876735, 2.8227, 
    2.721818, 2.607987, 2.495203, 2.42646, 2.385406, 2.355502, 2.331549, 
    2.311397, 2.297745, 2.290244, 2.288343, 2.29489, 2.308986, 2.32973, 
    2.359921, 2.398509, 2.427646, 2.420932, 2.372921, 2.302013, 2.224457, 
    2.152653, 2.090303, 2.041507, 2.027664, 2.064917, 2.183714, 2.429446, 
    2.782068, 3.197334, 3.670703, 4.204023, 4.660433, 4.965943, 5.272518, 
    5.329135, 1.997818, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7933435, 0.8814929, 0.6603446, 0.1317589, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.2563534, 2.568177, 2.5755, 2.562537, 2.543635, 2.525332, 2.50448, 
    2.475231, 2.435382, 2.397683, 2.358485, 2.316487, 2.04739, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.5794187, 1.15393, 2.176869, 2.268632, 2.249475, 2.224017, 
    1.195591, 0.7512411, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.508306, 1.358592, 
    0.5461812, 0, 1.093352, 1.569428, 1.583325, 1.591676, 1.599335, 1.572849, 
    1.535662, 1.507223, 1.478781, 1.447189, 1.417195, 1.390248, 1.392349, 
    1.424344, 1.504032, 1.632956, 1.782175, 1.948838, 2.120746, 2.281556, 
    2.438518, 2.587079, 2.713093, 2.789917, 2.819854, 2.830345, 2.826192, 
    2.808645, 2.78165, 2.741456, 2.689515, 2.631174, 2.563384, 2.479647, 
    2.389412, 2.313474, 2.246634, 2.184893, 2.133002, 2.08876, 2.047669, 
    2.00648, 1.968241, 1.932553, 1.890566, 1.837333, 1.776503, 1.718623, 
    1.665989, 1.615354, 1.572217, 1.539426, 1.512584, 1.492589, 1.477096,
  1.536422, 1.524879, 1.500291, 1.472551, 1.443462, 1.409821, 1.36823, 
    1.324487, 1.292239, 1.270837, 1.261681, 1.257127, 1.251475, 1.245475, 
    1.240375, 1.240875, 1.245725, 1.251977, 1.254879, 1.249835, 1.242991, 
    1.235446, 1.225153, 1.209662, 1.189772, 1.166382, 1.14479, 1.133094, 
    1.129544, 1.13929, 1.162833, 1.192523, 1.222513, 1.252503, 1.281691, 
    1.297884, 1.297481, 1.286231, 1.260484, 1.226241, 1.194498, 1.168706, 
    1.153366, 1.152624, 1.164031, 1.184538, 1.211194, 1.246347, 1.285549, 
    1.330701, 1.39085, 1.460551, 1.52905, 1.603498, 1.673043, 1.738837, 
    1.792031, 1.844173, 1.90466, 1.655312, 0.4896784, 0, 0, 0, 0, 0, 
    1.510311, 3.016557, 3.036182, 3.03375, 3.040066, 3.07688, 2.355407, 
    0.477998, 0.1673799, 2.179203, 3.351978, 3.326928, 3.27653, 3.199834, 
    3.08924, 1.928251, 1.395638, 1.319337, 1.934416, 2.584445, 2.656126, 
    2.778203, 2.893436, 2.963181, 2.989882, 2.992639, 2.979196, 2.944405, 
    2.873967, 2.752133, 2.61675, 2.48696, 2.413512, 2.376957, 2.351255, 
    2.330802, 2.313799, 2.302048, 2.295747, 2.295395, 2.305493, 2.324839, 
    2.352983, 2.395122, 2.449109, 2.495493, 2.508674, 2.480204, 2.427381, 
    2.36651, 2.307593, 2.252531, 2.204724, 2.188921, 2.227316, 2.352507, 
    2.623085, 3.010657, 3.465975, 3.9738, 4.53788, 5.039098, 5.397101, 
    5.739369, 5.483448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.800994, 0.7561179, 0.221871, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1273129, 1.664737, 2.582738, 2.579636, 2.563583, 2.547432, 2.528231, 
    2.498531, 2.456633, 2.058437, 1.185983, 1.164347, 1.02862, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.151641, 2.291031, 2.282221, 2.269558, 0.2265955, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6989186, 0.5479662, 0, 0.5626909, 
    1.569376, 1.673428, 1.678682, 1.674493, 1.630058, 1.576521, 1.53648, 
    1.498887, 1.458393, 1.422147, 1.39175, 1.394598, 1.432143, 1.524285, 
    1.675226, 1.85905, 2.074758, 2.300861, 2.512568, 2.720073, 2.920527, 
    3.096981, 3.21439, 3.276151, 3.303881, 3.306273, 3.28882, 3.25877, 
    3.212174, 3.151031, 3.082338, 3.001749, 2.901911, 2.793777, 2.702639, 
    2.62305, 2.54941, 2.486719, 2.431678, 2.379088, 2.32385, 2.270414, 
    2.218729, 2.158295, 2.081167, 1.993691, 1.910064, 1.834834, 1.763053, 
    1.702719, 1.657131, 1.620289, 1.591049, 1.565858,
  1.647386, 1.626746, 1.585762, 1.541929, 1.498693, 1.451607, 1.396571, 
    1.344429, 1.31023, 1.294223, 1.297357, 1.301796, 1.299691, 1.295139, 
    1.290338, 1.290689, 1.29444, 1.298542, 1.294951, 1.278415, 1.262974, 
    1.24893, 1.230538, 1.205095, 1.175003, 1.14141, 1.111017, 1.094772, 
    1.091771, 1.106266, 1.139906, 1.181845, 1.222986, 1.264127, 1.305467, 
    1.330709, 1.334455, 1.323155, 1.292161, 1.24847, 1.207479, 1.172087, 
    1.146396, 1.136004, 1.139012, 1.151119, 1.170276, 1.199782, 1.235287, 
    1.278139, 1.337691, 1.405892, 1.474793, 1.551392, 1.625638, 1.698282, 
    1.759774, 1.820218, 1.891662, 1.650724, 0.4913647, 0, 0, 0, 0, 0, 
    2.754107, 3.08343, 3.077499, 3.057561, 3.05501, 3.084707, 3.157003, 
    2.099583, 1.663762, 2.19491, 3.377728, 3.352728, 1.814703, 1.607629, 
    1.550479, 1.469763, 1.514097, 2.635813, 2.581003, 2.59304, 2.683976, 
    2.828561, 2.957205, 3.030205, 3.053259, 3.049215, 3.027222, 2.98248, 
    2.898791, 2.760453, 2.610012, 2.472515, 2.400112, 2.367359, 2.345256, 
    2.328053, 2.3142, 2.304348, 2.299247, 2.300446, 2.313194, 2.337839, 
    2.373732, 2.428521, 2.498806, 2.565037, 2.603912, 2.606728, 2.588241, 
    2.560155, 2.529025, 2.495799, 2.461982, 2.456716, 2.504455, 2.639347, 
    2.931532, 3.351405, 3.840878, 4.375158, 4.95595, 5.485085, 5.892796, 
    6.279501, 6.351292, 2.540713, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.3123484, 0.8492212, 0.6258, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3882833, 1.949631, 2.596935, 2.581537, 2.566236, 2.548235, 
    2.519033, 2.475734, 1.71289, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.115353, 1.153229, 1.151777, 1.149272, 0.1148521, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.7633934, 0.8596629, 1.304732, 1.735802, 
    1.676762, 1.611419, 1.174161, 1.286489, 1.47358, 1.433533, 1.401982, 
    1.40753, 1.450175, 1.548722, 1.708716, 1.913506, 2.176468, 2.456971, 
    2.720325, 2.980879, 3.237628, 3.471026, 3.641376, 3.754677, 3.82063, 
    3.837462, 3.828751, 3.802893, 3.75589, 3.69079, 3.614245, 3.522305, 
    3.407168, 3.281783, 3.175546, 3.082958, 2.997019, 2.923928, 2.857588, 
    2.792299, 2.721664, 2.65098, 2.580647, 2.498768, 2.394043, 2.276472, 
    2.163499, 2.062074, 1.966196, 1.885615, 1.825329, 1.77729, 1.735551, 
    1.697065,
  1.796344, 1.764854, 1.703724, 1.639893, 1.578911, 1.515128, 1.443444, 
    1.380855, 1.345206, 1.337897, 1.360428, 1.379862, 1.384904, 1.384, 
    1.380149, 1.3795, 1.381651, 1.382056, 1.366968, 1.332786, 1.304949, 
    1.28201, 1.255117, 1.222124, 1.18448, 1.142986, 1.105642, 1.085894, 
    1.084991, 1.106133, 1.150923, 1.205012, 1.256702, 1.308043, 1.359834, 
    1.393676, 1.401673, 1.389723, 1.351481, 1.29739, 1.2462, 1.20096, 
    1.165419, 1.145728, 1.140485, 1.144692, 1.155301, 1.177108, 1.206515, 
    1.244671, 1.299678, 1.363484, 1.429289, 1.504543, 1.578947, 1.405309, 
    1.306316, 1.792133, 1.775403, 0.677803, 0, 0, 0, 0, 0, 0, 2.78938, 
    3.0944, 3.073259, 3.049304, 3.048402, 3.080151, 3.155001, 3.246997, 
    3.336544, 3.389088, 3.399234, 3.374034, 1.827183, 1.613656, 1.549375, 
    2.482412, 2.758264, 2.623858, 2.580748, 2.605187, 2.709877, 2.866072, 
    2.998222, 3.069474, 3.087729, 3.077585, 3.048739, 2.996096, 2.901755, 
    2.752362, 2.595264, 2.457063, 2.38806, 2.358757, 2.340004, 2.325802, 
    2.31425, 2.306798, 2.302996, 2.305495, 2.320892, 2.350688, 2.393981, 
    2.460721, 2.548903, 2.636384, 2.704157, 2.747417, 2.776717, 2.796117, 
    2.805724, 2.805889, 2.797611, 2.812189, 2.875622, 3.024455, 3.336484, 
    3.783462, 4.295548, 4.84614, 5.432089, 5.973981, 6.421748, 6.850965, 
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    4.122459, 3.994419, 3.853282, 3.732196, 3.626508, 3.528119, 3.444629, 
    3.36674, 3.287803, 3.199919, 3.109589, 3.018559, 2.912133, 2.776763, 
    2.624997, 2.479179, 2.348058, 2.224885, 2.121557, 2.044274, 1.983087, 
    1.927351, 1.871868,
  1.989788, 1.946051, 1.862673, 1.776896, 1.696365, 1.614084, 1.523154, 
    1.445721, 1.407675, 1.41266, 1.457587, 1.496415, 1.512852, 1.516697, 
    1.514446, 1.513295, 1.513847, 1.507754, 1.475725, 1.420447, 1.375167, 
    1.33968, 1.30379, 1.264595, 1.220701, 1.173305, 1.130411, 1.10961, 
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    1.491337, 1.501886, 1.487241, 1.440699, 1.374662, 1.312922, 1.257482, 
    1.211942, 1.183101, 1.169709, 1.166117, 1.167326, 1.180136, 1.201494, 
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    1.255989, 1.749348, 0.9214986, 0, 0, 0, 0, 0, 0, 0, 2.801647, 3.094499, 
    3.068749, 3.047899, 3.050294, 3.084091, 3.161237, 3.256933, 3.347884, 
    3.405081, 3.419228, 3.394527, 3.336077, 3.24368, 3.112235, 2.940192, 
    2.749651, 2.621396, 2.586491, 2.616342, 2.725494, 2.881001, 3.009757, 
    3.076563, 3.090966, 3.079463, 3.04951, 2.994358, 2.892962, 2.738415, 
    2.580514, 2.444311, 2.378608, 2.353004, 2.336752, 2.324701, 2.315248, 
    2.309747, 2.307245, 2.311044, 2.329491, 2.364037, 2.41423, 2.49172, 
    2.596107, 2.705286, 2.805151, 2.892407, 2.975704, 3.049552, 3.107204, 
    3.147363, 3.174025, 3.215395, 3.298325, 3.464909, 3.799237, 4.270913, 
    4.798247, 5.356042, 5.942592, 6.491636, 6.970212, 7.42779, 7.874677, 
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    2.71248, 3.050109, 3.397537, 3.754158, 4.105453, 4.389946, 4.621587, 
    4.809222, 4.92086, 4.98421, 5.010112, 5.002366, 4.96493, 4.89232, 
    4.793816, 4.659019, 4.505578, 4.370591, 4.251704, 4.141614, 4.047824, 
    3.957886, 3.864101, 3.75807, 3.646091, 3.532214, 3.398392, 3.229326, 
    3.039265, 2.857103, 2.692437, 2.538569, 2.409246, 2.312466, 2.235982, 
    2.166195, 2.094359,
  2.23123, 2.174194, 2.067119, 1.958093, 1.856815, 1.754137, 1.64166, 
    1.545629, 1.504631, 1.524866, 1.593991, 1.655866, 1.687299, 1.69844, 
    1.697938, 1.697737, 1.69604, 1.679303, 1.625227, 1.546202, 1.479375, 
    1.427943, 1.382054, 1.33706, 1.287416, 1.23532, 1.188273, 1.168771, 
    1.179164, 1.220002, 1.289988, 1.365878, 1.43712, 1.506612, 1.575606, 
    1.622601, 1.632104, 1.611162, 1.553576, 1.475237, 1.403896, 1.338855, 
    1.283915, 1.246123, 1.224681, 1.21269, 1.204699, 1.206761, 1.216476, 
    1.234939, 1.267754, 1.30987, 1.357282, 1.417293, 1.325198, 0.4753705, 
    1.615318, 1.105462, 0.08737742, 0, 0, 0, 0, 0, 0, 0, 1.558737, 3.091408, 
    3.063761, 3.043111, 3.047312, 3.08381, 3.165755, 3.266598, 3.36099, 
    3.422434, 3.44023, 3.41603, 3.358229, 2.78301, 2.327116, 2.94939, 
    2.75364, 2.631334, 2.599982, 2.628135, 2.733141, 2.879901, 3.00101, 
    3.062265, 3.073469, 3.065016, 3.038762, 2.984512, 2.880163, 2.724563, 
    2.568011, 2.434558, 2.372554, 2.350101, 2.33575, 2.324899, 2.317647, 
    2.313546, 2.311995, 2.317093, 2.338491, 2.376888, 2.433232, 2.519325, 
    2.636014, 2.764896, 2.896418, 3.027924, 3.165269, 3.294162, 3.401212, 
    3.485516, 3.552623, 3.627785, 3.737052, 3.925775, 4.284847, 4.78247, 
    5.326452, 5.891093, 6.478991, 7.037028, 7.536662, 8.010401, 8.462605, 
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    0.403677, 0, 2.090505, 2.492245, 1.942347, 1.302845, 1.29523, 1.29022, 
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    1.726977, 1.758114, 1.823646, 1.961869, 2.165883, 2.476234, 2.836972, 
    3.193357, 3.560938, 3.945213, 4.337536, 4.669749, 4.962737, 5.219115, 
    5.396795, 5.515984, 5.594227, 5.640166, 5.649708, 5.606758, 5.523931, 
    5.389977, 5.22958, 5.084487, 4.955145, 4.835005, 4.730865, 4.628279, 
    4.519044, 4.393266, 4.25814, 4.119117, 3.955249, 3.748939, 3.516983, 
    3.294775, 3.093564, 2.905301, 2.746682, 2.627906, 2.533974, 2.450539, 
    2.364253,
  2.520666, 2.45033, 2.318157, 2.184984, 2.061508, 1.936981, 1.801756, 
    1.688223, 1.646821, 1.682405, 1.777376, 1.864697, 1.915723, 1.937361, 
    1.939358, 1.940007, 1.932716, 1.898838, 1.820166, 1.715644, 1.624821, 
    1.552197, 1.495159, 1.443817, 1.389122, 1.331977, 1.281132, 1.265377, 
    1.290353, 1.350325, 1.440197, 1.527084, 1.605777, 1.68237, 1.756915, 
    1.806415, 1.808527, 1.771104, 1.692235, 1.59661, 1.516619, 1.442928, 
    1.378388, 1.330999, 1.301658, 1.281766, 1.264576, 1.254838, 1.248956, 
    1.251476, 1.267796, 1.294263, 1.328029, 1.375444, 0.7916378, 0.9532094, 
    1.160399, 0.2424649, 0, 0, 0, 0, 0, 0, 0, 0, 1.54746, 3.081364, 3.050517, 
    3.029467, 3.034315, 3.072514, 3.160257, 3.268648, 3.370889, 3.439081, 
    3.461475, 3.440469, 3.220216, 1.157458, 1.536488, 2.965875, 2.77242, 
    2.656313, 2.626213, 2.648622, 2.743936, 2.878951, 2.993256, 3.05016, 
    3.058263, 3.050315, 3.025516, 2.971665, 2.867713, 2.71366, 2.559756, 
    2.429303, 2.3705, 2.350398, 2.337497, 2.327396, 2.321146, 2.318195, 
    2.317244, 2.323293, 2.346543, 2.38779, 2.448486, 2.54103, 2.666273, 
    2.807815, 2.960949, 3.127371, 3.313075, 3.494872, 3.650271, 3.779774, 
    3.890027, 4.006079, 4.155827, 4.384321, 4.785311, 5.317715, 5.883637, 
    6.461468, 7.057454, 7.624598, 8.136089, 8.613993, 9.052768, 9.353206, 
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    1.325626, 0.7574911, 0.04479513, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2477217, 
    0.520939, 1.146443, 1.181615, 0.4053608, 0.702352, 1.134132, 1.237528, 
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    1.987662, 2.09685, 2.281277, 2.584042, 2.949893, 3.316887, 3.693687, 
    4.095177, 4.506165, 4.8641, 5.198576, 5.520263, 5.768036, 5.948619, 
    6.086153, 6.195581, 6.265962, 6.277349, 6.236588, 6.131182, 5.971975, 
    5.823974, 5.689975, 5.563429, 5.451136, 5.336996, 5.21341, 5.068579, 
    4.9114, 4.747575, 4.554354, 4.311141, 4.037882, 3.776721, 3.539707, 
    3.317041, 3.128971, 2.987345, 2.875464, 2.778078, 2.679839,
  2.866081, 2.787335, 2.63116, 2.472389, 2.325416, 2.178092, 2.0276, 
    1.908245, 1.869442, 1.914638, 2.027528, 2.142047, 2.217867, 2.258338, 
    2.272465, 2.264235, 2.240862, 2.183889, 2.07852, 1.946751, 1.830729, 
    1.732559, 1.653794, 1.58742, 1.527077, 1.464633, 1.419016, 1.418837, 
    1.467509, 1.552932, 1.670899, 1.776072, 1.862662, 1.944706, 2.022155, 
    2.060132, 2.041465, 1.976249, 1.866784, 1.744368, 1.651837, 1.569796, 
    1.494808, 1.43672, 1.39888, 1.37084, 1.347094, 1.325856, 1.305919, 
    1.293332, 1.291402, 1.300672, 0.9857326, 0.6788559, 0.2087075, 1.204083, 
    0.3693193, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.550962, 3.06148, 3.027783, 
    3.006683, 3.015227, 3.057519, 3.152011, 3.267155, 3.377796, 3.453887, 
    3.482978, 3.465527, 3.079432, 0, 1.549982, 2.994263, 2.807204, 2.696349, 
    2.666948, 2.680608, 2.760478, 2.880745, 2.98601, 3.03667, 3.040925, 
    3.031527, 3.006276, 2.954073, 2.853818, 2.705009, 2.556002, 2.429048, 
    2.372495, 2.354044, 2.341744, 2.331894, 2.325245, 2.322845, 2.322744, 
    2.328944, 2.353044, 2.395444, 2.454501, 2.54122, 2.660491, 2.799954, 
    2.961802, 3.148137, 3.368208, 3.593168, 3.791176, 3.966773, 4.132549, 
    4.305422, 4.513896, 4.803917, 5.270035, 5.855764, 6.457863, 7.061725, 
    7.67575, 8.247696, 8.763794, 9.235456, 9.646641, 9.908237, 10.01766, 
    6.593241, 0.5119094, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.006449, 0.3108897, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1486188, 0.7441981, 
    1.0441, 0.6528116, 0.4588178, 0, 0.7054148, 0.1007735, 0, 0, 0, 0, 0, 0, 
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    2.002486, 2.319992, 2.251317, 2.206436, 2.190958, 2.184432, 2.171688, 
    2.23909, 2.390486, 2.67092, 3.027689, 3.393198, 3.764661, 4.162429, 
    4.57908, 4.946973, 5.29806, 5.662232, 5.97871, 6.225533, 6.430352, 
    6.612615, 6.754728, 6.832197, 6.85472, 6.809993, 6.680086, 6.538473, 
    6.405967, 6.278765, 6.162966, 6.040972, 5.905334, 5.7448, 5.56827, 
    5.382544, 5.16357, 4.887804, 4.577793, 4.282678, 4.01416, 3.761741, 
    3.548016, 3.386036, 3.258003, 3.147816, 3.040974,
  3.241566, 3.160717, 2.993118, 2.820669, 2.661569, 2.503167, 2.349815, 
    2.234161, 2.199556, 2.249299, 2.368694, 2.498541, 2.589038, 2.643486, 
    2.668735, 2.651534, 2.615037, 2.544589, 2.424442, 2.278292, 2.149293, 
    2.036746, 1.941297, 1.863397, 1.800795, 1.73784, 1.702434, 1.717828, 
    1.781273, 1.881118, 2.016911, 2.134511, 2.219525, 2.293, 2.356434, 
    2.365923, 2.31641, 2.219298, 2.077386, 1.925969, 1.815042, 1.725101, 
    1.642755, 1.57701, 1.532316, 1.498469, 1.468578, 1.435942, 1.404107, 
    1.377874, 1.357546, 1.344228, 1.007182, 0.2039757, 0.6033671, 0.4830681, 
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    3.002452, 3.049249, 3.147249, 3.265897, 3.386534, 3.471074, 3.50173, 
    3.481637, 1.720978, 0, 1.567977, 3.036191, 2.861073, 2.750078, 2.717188, 
    2.722098, 2.777833, 2.871426, 2.961048, 3.000613, 2.998771, 2.988223, 
    2.96432, 2.916264, 2.823951, 2.690724, 2.554252, 2.432494, 2.37884, 
    2.36119, 2.34874, 2.338042, 2.330343, 2.327843, 2.327994, 2.334094, 
    2.357347, 2.394908, 2.440032, 2.505811, 2.602891, 2.727013, 2.887119, 
    3.082913, 3.321949, 3.576023, 3.811031, 4.037618, 4.271637, 4.515902, 
    4.795466, 5.158679, 5.702534, 6.357398, 7.011381, 7.65418, 8.295193, 
    8.877623, 9.392528, 9.850398, 10.22919, 10.44998, 10.53341, 10.52616, 
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    2.359636, 2.369364, 2.470434, 2.721815, 3.055849, 3.407272, 3.762546, 
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    4.209443, 3.976461, 3.799026, 3.657988, 3.537449, 3.423257,
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    4.385072, 4.198528, 4.049783, 3.92209, 3.802544,
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    4.558584, 4.408283, 4.277883, 4.157929,
  4.270654, 4.188063, 4.018777, 3.845942, 3.687956, 3.531719, 3.382732, 
    3.276289, 3.254983, 3.314183, 3.447716, 3.591841, 3.694667, 3.761091, 
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    11.26366, 11.53534, 11.65601, 11.68571, 11.69089, 11.70945, 11.78958, 
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    4.566566, 4.95161, 5.424791, 5.878913, 6.30259, 6.770809, 7.227015, 
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    4.694284, 4.56568, 4.450022,
  4.379564, 4.299398, 4.13467, 3.966942, 3.813714, 3.662586, 3.519805, 
    3.420429, 3.40836, 3.471549, 3.614541, 3.772878, 3.89156, 3.974891, 
    4.02982, 4.038702, 4.013742, 3.941889, 3.808789, 3.648639, 3.508493, 
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    4.910119, 4.772118, 4.648259, 4.540945,
  4.294674, 4.226757, 4.085269, 3.941082, 3.809799, 3.680616, 3.562079, 
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  4.130802, 4.076879, 3.962388, 3.845496, 3.739407, 3.635417, 3.543926, 
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    3.301539,
  3.020995, 3.016145, 3.007604, 2.998648, 2.990351, 2.982054, 2.972564, 
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    3.06297, 3.056175, 3.048681, 3.0403, 3.032074,
  2.786484, 2.780184, 2.768915, 2.757119, 2.745484, 2.733848, 2.720525, 
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    2.800604,
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    2.381999,
  2.170326, 2.166768, 2.159572, 2.151709, 2.143909, 2.13541, 2.125689, 
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    1.513005, 1.503474, 1.495403, 1.490235, 1.488629, 1.504949, 1.544369, 
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    2.177114, 2.179134, 2.181159, 2.183713, 2.185884, 2.188055, 2.190188, 
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    1.405544, 1.419443, 1.419142, 1.404292,
  1.444035, 1.422685, 1.378135, 1.326785, 1.274285, 1.221785, 1.170435, 
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    1.029746, 1.076299, 1.122502, 1.171105, 1.213708, 1.248809, 1.280761, 
    1.313312, 1.342212, 1.364063, 1.383463, 1.404014, 1.423415, 1.442565, 
    1.468716, 1.503916, 1.545216, 1.589067, 1.638518, 1.701869, 1.799173, 
    1.982335, 2.263149, 2.681415, 3.200628, 3.717382, 4.20894, 4.646904, 
    5.025979, 5.344708, 5.617941, 2.788713, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.179584, 1.123734, 1.074535, 1.008937, 0.9430388, 0.8839903, 0.8312417, 
    0.783343, 0.7494437, 0.7307437, 0.7207935, 0.7150435, 0.710593, 0.706493, 
    0.7023931, 0.6968926, 0.6896921, 0.6819916, 0.6732409, 0.6644402, 
    0.6552392, 0.6462386, 0.6365381, 0.6253875, 0.6131369, 0.6024861, 
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    0.5944244, 0.6159708, 0.6420668, 0.6595161, 0.6740656, 0.6897137, 
    0.7074623, 0.7269611, 0.5193727, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.711125, 1.686626, 1.655478, 1.617781, 1.571684, 1.514987, 1.457139, 
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    1.152093, 1.139543, 1.130492, 1.123742, 1.120092, 1.118792, 1.118542, 
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    1.156442, 1.19454, 1.235039, 1.270537, 1.304635, 1.339783, 1.368581, 
    1.37728, 1.36253, 1.322779, 1.264779, 1.208029, 1.151629, 1.090129, 
    1.029578, 0.9782766, 0.9385242, 0.911021, 0.8929182, 0.8792651, 
    0.8673623, 0.8566597, 0.8486568, 0.8442539, 0.8433512, 0.8472991, 
    0.8558971, 0.8662452, 0.8772931, 0.8859912, 0.8872393, 0.8807377, 
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    0.3502498, 0.3554994, 0.07294995, 0.3750509, 0.3847525, 0.3934039, 
    0.3982551, 0.399756, 0.4035074, 0.4086589, 0.4156115, 0.4248634, 
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    1.35914, 1.418189, 1.462488, 1.489037, 1.501236, 1.499235, 1.483485,
  1.516529, 1.49553, 1.451681, 1.401581, 1.350032, 1.298483, 1.247934, 
    1.203884, 1.169285, 1.139235, 1.110285, 1.085436, 1.067537, 1.057691, 
    1.051545, 1.045399, 1.037803, 1.027758, 1.014561, 1.001814, 0.9928164, 
    0.984167, 0.9735165, 0.9621655, 0.9525645, 0.9436635, 0.9369116, 
    0.9353611, 0.9360611, 0.9360611, 0.9273106, 0.9132596, 0.8998083, 
    0.888108, 0.8832615, 0.8990662, 0.9170713, 0.9357764, 0.9404311, 
    0.9439817, 0.9488295, 0.9568269, 0.9674231, 0.9724664, 0.9648097, 
    0.959603, 0.9589958, 0.9816405, 1.01004, 1.043692, 1.085094, 1.135247, 
    1.187799, 1.239652, 1.293603, 1.340955, 1.379307, 1.414158, 1.448809, 
    1.479509, 1.50256, 1.523511, 1.546562, 1.568714, 1.589064, 1.615715, 
    1.651364, 1.692864, 1.737064, 1.787565, 1.852214, 1.957067, 2.159573, 
    2.467433, 2.918296, 3.462555, 3.982104, 4.483455, 4.949065, 5.377835, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1149977, 1.136027, 
    1.081979, 1.03493, 0.974383, 0.9135852, 0.8584873, 0.8100396, 0.7657915, 
    0.7340928, 0.715743, 0.7057933, 0.6999932, 0.6950932, 0.6909932, 
    0.6865429, 0.6807931, 0.6723925, 0.6632417, 0.6530412, 0.6424403, 
    0.6314397, 0.620989, 0.6098382, 0.5969374, 0.5834869, 0.5719869, 
    0.5622365, 0.5520864, 0.5430354, 0.5359848, 0.5320831, 0.5329309, 
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    1.76117, 1.739671, 1.712823, 1.681025, 1.641528, 1.591831, 1.539034, 
    1.491785, 1.448387, 1.403689, 1.36109, 1.325291, 1.294742, 1.268392, 
    1.248442, 1.235793, 1.226643, 1.219293, 1.215442, 1.214042, 1.214042, 
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    1.24904, 1.282588, 1.318636, 1.350034, 1.379331, 1.409679, 1.433177, 
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    0.8756572, 0.8603538, 0.8500013, 0.84455, 0.8433475, 0.8473454, 
    0.8534936, 0.8599916, 0.8645399, 0.8623386, 0.8524873, 0.8345863, 
    0.8069352, 0.7702349, 0.730235, 0.6839356, 0.6245882, 0.5605415, 
    0.3838477, 0.2274427, 0.2075259, 0.1919126, 0.2665776, 0.3472, 0.3452, 
    0.3466, 0.35, 0.3569018, 0.05453444, 0.2484919, 0.3987595, 0.4106611, 
    0.4182123, 0.4220134, 0.3161692, 0.3697089, 0.4476667, 0.460618, 
    0.4777697, 0.5026219, 0.5421749, 0.5939777, 0.6542803, 0.7264829, 
    0.8155856, 0.9137376, 1.009539, 1.105339, 1.206989, 1.300787, 1.377786, 
    1.442884, 1.498733, 1.540231, 1.56403, 1.574529, 1.571279, 1.554979,
  1.582524, 1.562925, 1.521676, 1.474177, 1.425279, 1.37638, 1.327981, 
    1.286332, 1.253533, 1.224934, 1.196885, 1.174636, 1.162539, 1.160592, 
    1.164096, 1.16815, 1.169803, 1.169006, 1.16486, 1.158512, 1.153063, 
    1.144463, 1.131962, 1.118061, 1.10606, 1.094409, 1.084007, 1.080206, 
    1.080806, 1.080706, 1.071206, 1.055305, 1.040055, 1.029706, 1.03381, 
    1.060764, 1.090068, 1.120423, 1.137328, 1.14458, 1.145079, 1.147327, 
    1.147122, 1.136566, 1.11356, 1.093355, 1.07745, 1.086794, 1.113043, 
    1.150494, 1.197096, 1.252598, 1.31055, 1.367101, 1.425553, 1.476704, 
    1.517805, 1.554355, 1.590356, 1.622656, 1.646556, 1.669057, 1.694507, 
    1.718658, 1.740808, 1.767859, 1.802958, 1.844558, 1.888058, 1.938208, 
    2.002958, 2.111859, 2.325562, 2.653018, 3.129126, 3.679071, 4.180559, 
    4.674352, 5.153803, 5.622265, 6.072333, 4.141984, 0.323401, 0, 0, 0, 0, 
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    0.8237348, 0.7815375, 0.7426898, 0.7145415, 0.6979927, 0.6891434, 
    0.6839939, 0.6794441, 0.675244, 0.6706942, 0.6647438, 0.6554437, 
    0.6447433, 0.6326423, 0.6194912, 0.6064901, 0.5942394, 0.581639, 
    0.5670385, 0.5528383, 0.5409881, 0.5305378, 0.5200377, 0.5102379, 
    0.5017375, 0.4949867, 0.4913354, 0.4936333, 0.501731, 0.5136784, 
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    1.842923, 1.840771, 1.84122, 1.83127, 1.811521, 1.791671, 1.766921, 
    1.738522, 1.704523, 1.661775, 1.615228, 1.57253, 1.533332, 1.493134, 
    1.454486, 1.422037, 1.394489, 1.37034, 1.351741, 1.340042, 1.331492, 
    1.324292, 1.320442, 1.319042, 1.319042, 1.319042, 1.319042, 1.319042, 
    1.319042, 1.319142, 1.321842, 1.331291, 1.347389, 1.374637, 1.404784, 
    1.430782, 1.454679, 1.478226, 1.495174, 1.496271, 1.479521, 1.441922, 
    1.388174, 1.334525, 1.280176, 1.218875, 1.155475, 1.100025, 1.051223, 
    1.00942, 0.9747156, 0.9447617, 0.9165576, 0.8889036, 0.8670018, 
    0.8517502, 0.8424484, 0.8358465, 0.8345944, 0.8367429, 0.8381909, 
    0.8389895, 0.8330879, 0.8204869, 0.800186, 0.7700851, 0.6291553, 
    0.5206025, 0.6491863, 0.5953382, 0.5395416, 0.4917444, 0.4502467, 
    0.4130988, 0.3832999, 0.3582502, 0.3472, 0.3452, 0.3467501, 0.3525019, 
    0.2335536, 0.03925235, 0.2750683, 0.4302656, 0.4459171, 0.2398017, 
    0.2187316, 0.2362617, 0.4153723, 0.4943208, 0.5098715, 0.5307729, 
    0.5607748, 0.6066269, 0.6644791, 0.7305312, 0.808133, 0.9020342, 
    1.003685, 1.100785, 1.196835, 1.295984, 1.386232, 1.45928, 1.520429, 
    1.571726, 1.609125, 1.630524, 1.638973, 1.635223, 1.618773,
  1.642019, 1.62417, 1.587122, 1.543724, 1.499275, 1.454477, 1.410429, 
    1.37273, 1.343282, 1.316983, 1.291484, 1.273936, 1.269288, 1.275491, 
    1.288995, 1.302548, 1.313301, 1.320554, 1.324707, 1.324108, 1.319808, 
    1.309558, 1.294007, 1.277156, 1.261804, 1.246803, 1.233001, 1.226551, 
    1.226801, 1.22635, 1.21615, 1.199, 1.18355, 1.177201, 1.190404, 1.228308, 
    1.268312, 1.310066, 1.338969, 1.352272, 1.350571, 1.34782, 1.336016, 
    1.311262, 1.275558, 1.244405, 1.219404, 1.220453, 1.245303, 1.286955, 
    1.338607, 1.399309, 1.46181, 1.522211, 1.582411, 1.633059, 1.673058, 
    1.707806, 1.742355, 1.773654, 1.797554, 1.820053, 1.850006, 1.88016, 
    1.906562, 1.934713, 1.969062, 2.010112, 2.052062, 2.100661, 2.16461, 
    2.269757, 2.483554, 2.819154, 3.297549, 3.819133, 4.278265, 4.743001, 
    5.212242, 5.690639, 6.161737, 1.906796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.1483974, 0.7028134, 0.8934708, 0.857227, 0.820882, 0.7829855, 
    0.7475377, 0.7150399, 0.6914417, 0.6782429, 0.6720442, 0.6684948, 
    0.6649452, 0.6612457, 0.6571959, 0.6507458, 0.6404952, 0.6279945, 
    0.6137439, 0.5975428, 0.5818918, 0.5677412, 0.5535905, 0.5380403, 
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    1.888271, 1.870022, 1.849221, 1.82362, 1.79502, 1.76327, 1.725371, 
    1.684923, 1.647025, 1.612276, 1.576677, 1.543029, 1.514781, 1.490732, 
    1.469783, 1.453684, 1.443284, 1.435334, 1.429184, 1.425585, 1.424535, 
    1.424535, 1.424535, 1.424535, 1.424535, 1.424535, 1.424585, 1.426684, 
    1.434034, 1.445233, 1.466581, 1.490278, 1.510276, 1.527824, 1.544672, 
    1.55482, 1.551019, 1.533569, 1.49992, 1.450572, 1.400523, 1.348374, 
    1.287374, 1.223825, 1.167024, 1.113372, 1.061318, 1.014513, 0.9732592, 
    0.9330546, 0.8971525, 0.8712514, 0.8525003, 0.8386488, 0.8263465, 
    0.6981108, 0.6148531, 0.8145919, 0.8125911, 0.8005384, 0.7842367, 
    0.7623364, 0.7307362, 0.590108, 0.4833566, 0.6144383, 0.5650897, 
    0.5174423, 0.4784959, 0.4426977, 0.4094486, 0.3821994, 0.3590004, 
    0.3477004, 0.3457004, 0.3490515, 0.2676897, 0.05411258, 0.04495183, 
    0.4559688, 0.4805207, 0.3120922, 0.05105266, 0.2763408, 0.4083583, 
    0.5428231, 0.5544229, 0.5717735, 0.5962747, 0.630576, 0.6820779, 
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    1.381379, 1.466026, 1.534024, 1.590122, 1.636221, 1.668719, 1.687268, 
    1.694267, 1.690317, 1.675068,
  1.693514, 1.677765, 1.645216, 1.607418, 1.56827, 1.528772, 1.490323, 
    1.457275, 1.431526, 1.408227, 1.385778, 1.37503, 1.378783, 1.393386, 
    1.416939, 1.440442, 1.460795, 1.476948, 1.489601, 1.494753, 1.490303, 
    1.478152, 1.459901, 1.43925, 1.419799, 1.400347, 1.382146, 1.373245, 
    1.372545, 1.371844, 1.360694, 1.342694, 1.327294, 1.325195, 1.346548, 
    1.395001, 1.445304, 1.497006, 1.535209, 1.55341, 1.55106, 1.544859, 
    1.524407, 1.488854, 1.444302, 1.407801, 1.380051, 1.380602, 1.408553, 
    1.456455, 1.514557, 1.581009, 1.647811, 1.710761, 1.769761, 1.81636, 
    1.851808, 1.882357, 1.911905, 1.939054, 1.960802, 1.982552, 2.020055, 
    2.060557, 2.09431, 2.124561, 2.15701, 2.195158, 2.234557, 2.279556, 
    2.337953, 2.430248, 2.633294, 2.964091, 3.414028, 3.885962, 4.292245, 
    4.71183, 5.141313, 5.591949, 4.513752, 0.9498172, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.6844902, 0.6661419, 0.6572434, 0.6542943, 0.652945, 0.6508956, 
    0.648496, 0.6450462, 0.6386964, 0.6275463, 0.6129957, 0.5963448, 
    0.5770938, 0.5589432, 0.5429927, 0.5273923, 0.5110421, 0.495692, 
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    1.954021, 1.935971, 1.91222, 1.883519, 1.852768, 1.820617, 1.784968, 
    1.748469, 1.71502, 1.684021, 1.652222, 1.622923, 1.598274, 1.577475, 
    1.559276, 1.545476, 1.536277, 1.529177, 1.524078, 1.520728, 1.520028, 
    1.520028, 1.520028, 1.520028, 1.520028, 1.520028, 1.520028, 1.521227, 
    1.526777, 1.535126, 1.551025, 1.568272, 1.582521, 1.593969, 1.604717, 
    1.610066, 1.603766, 1.586616, 1.556117, 1.512419, 1.467521, 1.418772, 
    1.360273, 1.297824, 1.240023, 1.180822, 1.118419, 1.056114, 1.000008, 
    0.9460039, 0.4969526, 0.4363822, 0.4262385, 0.4181934, 0.4104481, 
    0.4030983, 0.595118, 0.7916932, 0.7848909, 0.7655388, 0.7442373, 
    0.7201362, 0.6873857, 0.651136, 0.6154865, 0.576337, 0.5317887, 
    0.4920413, 0.4624939, 0.4343469, 0.4054488, 0.3824007, 0.3655037, 
    0.3615582, 0.3483513, 0.1754923, 0.09019466, 0, 0.0237854, 0.2414518, 
    0.2550935, 0.07810208, 0.3140588, 0.5940256, 0.6055248, 0.6159743, 
    0.6275246, 0.646525, 0.6742759, 0.7118268, 0.768028, 0.835429, 0.9087796, 
    0.9919298, 1.089279, 1.190279, 1.283277, 1.372426, 1.461674, 1.539021, 
    1.600769, 1.650617, 1.691265, 1.719164, 1.734263, 1.739913, 1.735963, 
    1.722663,
  1.73601, 1.722361, 1.694262, 1.661913, 1.628515, 1.594766, 1.561818, 
    1.533669, 1.51127, 1.490971, 1.472572, 1.469774, 1.482527, 1.50648, 
    1.540532, 1.575486, 1.606289, 1.633242, 1.655945, 1.667547, 1.663297, 
    1.649947, 1.629246, 1.604345, 1.580293, 1.555192, 1.53179, 1.519489, 
    1.516538, 1.515338, 1.503238, 1.484688, 1.469538, 1.471189, 1.500591, 
    1.558243, 1.617295, 1.677047, 1.721498, 1.742549, 1.740049, 1.731599, 
    1.705347, 1.662996, 1.614045, 1.575945, 1.548246, 1.551797, 1.585298, 
    1.6405, 1.706502, 1.780005, 1.852056, 1.916757, 1.974607, 2.017956, 
    2.049555, 2.075203, 2.098002, 2.11905, 2.135548, 2.156598, 2.200549, 
    2.249001, 2.289802, 2.322903, 2.352853, 2.385951, 2.4203, 2.458497, 
    2.505443, 2.580338, 2.767784, 3.075624, 3.47841, 3.895495, 4.24673, 
    4.612314, 4.981396, 4.563193, 1.442477, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.364989, 0.7264796, 0.7219319, 0.7138352, 0.6942375, 0.6725394, 
    0.6515409, 0.6389925, 0.6347437, 0.6346945, 0.6358952, 0.6359959, 
    0.6352464, 0.6327467, 0.6266468, 0.6145964, 0.5982459, 0.5790953, 
    0.5575949, 0.5376446, 0.5204944, 0.5040442, 0.4875944, 0.4728447, 
    0.461245, 0.4524454, 0.4440457, 0.4360458, 0.427996, 0.418896, 0.4095959, 
    0.4021454, 0.3984949, 0.3990441, 0.403993, 0.4078915, 0.4067408, 
    0.4080398, 0.2151555, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.6226563, 2.073271, 2.065771, 2.053121, 2.040371, 2.027771, 
    2.011672, 1.985622, 1.952621, 1.918269, 1.883568, 1.847568, 1.812418, 
    1.781018, 1.751718, 1.721668, 1.694168, 1.672519, 1.654719, 1.63882, 
    1.627271, 1.619271, 1.613371, 1.608621, 1.605721, 1.605021, 1.605021, 
    1.605021, 1.605021, 1.605021, 1.605021, 1.605021, 1.605922, 1.610271, 
    1.616721, 1.62802, 1.639769, 1.648017, 1.653815, 1.659314, 1.661113, 
    1.653763, 1.637313, 1.608914, 1.570915, 1.531516, 1.487218, 1.433069, 
    1.372319, 1.313519, 1.246666, 1.170461, 1.088506, 1.014501, 0.623574, 
    0.0468249, 0.1262176, 0.2103626, 0, 0, 0.2333979, 0.774493, 0.7671428, 
    0.7553422, 0.7296906, 0.7037394, 0.6763886, 0.6421383, 0.6078891, 
    0.5749901, 0.5385911, 0.4993925, 0.4669942, 0.4469971, 0.4298002, 
    0.4120045, 0.3380257, 0.2934582, 0.410319, 0.3918722, 0, 0, 0, 0, 0, 0, 
    0, 0.3229162, 0.6846262, 0.6930251, 0.7021249, 0.7140249, 0.7341251, 
    0.7642756, 0.804226, 0.8634768, 0.9332271, 1.007527, 1.090577, 1.185726, 
    1.283075, 1.370773, 1.453571, 1.534719, 1.604066, 1.658514, 1.701762, 
    1.736361, 1.759759, 1.771759, 1.776058, 1.772509, 1.760759,
  1.769006, 1.757807, 1.734308, 1.70741, 1.679761, 1.651762, 1.624263, 
    1.600564, 1.581765, 1.564366, 1.550817, 1.556369, 1.578021, 1.612273, 
    1.657676, 1.705329, 1.747532, 1.786234, 1.820687, 1.839939, 1.83804, 
    1.82459, 1.80169, 1.773139, 1.744288, 1.713687, 1.684836, 1.668085, 
    1.662034, 1.658783, 1.645233, 1.625833, 1.611533, 1.616834, 1.653135, 
    1.718537, 1.784538, 1.850539, 1.89929, 1.92154, 1.91879, 1.90834, 
    1.877288, 1.829587, 1.778286, 1.740287, 1.713887, 1.720987, 1.759539, 
    1.82119, 1.894591, 1.976443, 2.055545, 2.123446, 2.181046, 2.222846, 
    2.251546, 2.272545, 2.288443, 2.301591, 2.31129, 2.330089, 2.377189, 
    2.43134, 2.477541, 2.513942, 2.542092, 2.56944, 2.597789, 2.626837, 
    2.658533, 2.713328, 2.882274, 3.153765, 3.504854, 3.868492, 4.16448, 
    4.470616, 4.787607, 3.543016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.326992, 0.6550348, 0.6580362, 0.6585873, 0.6474892, 0.6318404, 
    0.6165417, 0.6095428, 0.6094939, 0.6125946, 0.6163952, 0.6189457, 
    0.6199961, 0.6185963, 0.6130465, 0.6002966, 0.5824963, 0.5615459, 
    0.5385957, 0.5174955, 0.4999954, 0.4835456, 0.4680959, 0.4547963, 
    0.4447467, 0.4367968, 0.429497, 0.4223473, 0.4152476, 0.4067479, 
    0.3970477, 0.3883476, 0.3829973, 0.3807967, 0.3814456, 0.3809449, 
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    1.8306,
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    1.326252, 1.327053, 1.331003, 1.335253, 1.339503, 1.348654, 1.366854, 
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    1.83185, 1.83445, 1.83575, 1.83565, 1.83455, 1.8334,
  1.8335, 1.83245, 1.8314, 1.8294, 1.82725, 1.8251, 1.82345, 1.82155, 
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    3.1786, 3.089, 2.9905, 2.92, 2.9174, 2.96875, 3.03925, 3.10275, 3.15, 
    3.18055, 3.19625, 3.1864, 3.1321, 3.04035, 2.976, 2.96345, 3.0255, 
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  1.837, 1.8363, 1.83595, 1.83535, 1.83475, 1.8338, 1.83345, 1.83285, 
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    2.853005, 2.880106, 2.954707, 2.999757, 3.054607, 3.123758, 3.203558, 
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    1.83675, 1.837, 1.837, 1.83685,
  1.8415, 1.84115, 1.84055, 1.8399, 1.83775, 1.8356, 1.833501, 1.831851, 
    1.831001, 1.832251, 1.859501, 1.92325, 1.99475, 2.07185, 2.1562, 
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    2.634702, 2.8598, 3.080998, 3.264747, 3.395046, 3.458645, 3.472495, 
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    1.83815, 1.839, 1.83985, 1.84005, 1.8405,
  1.847999, 1.847649, 1.846849, 1.84335, 1.83725, 1.831501, 1.825451, 
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  1.857498, 1.856798, 1.854149, 1.846449, 1.8365, 1.826201, 1.815902, 
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  1.869498, 1.867748, 1.861149, 1.8489, 1.834501, 1.820101, 1.805002, 
    1.790953, 1.781004, 1.780154, 1.824702, 1.90725, 1.993749, 2.078148, 
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    2.299312, 2.307163, 2.315614, 2.314513, 2.309561, 2.307309, 2.302257, 
    2.289005, 2.264204, 2.222802, 2.185451, 2.17475, 2.1966, 2.243701, 
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    3.393767, 3.375868, 3.304668, 3.111368, 2.86977, 2.649523, 2.497226, 
    2.437929, 2.443282, 2.477683, 2.524834, 2.568883, 2.597282, 2.600131, 
    2.557478, 2.482225, 2.416522, 2.37812, 2.371769, 2.40142, 2.448269, 
    2.492319, 2.549819, 2.607571, 2.673023, 2.730776, 2.481976, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4437103, 0.8051351, 
    0.7547347, 0.7127346, 0.672685, 0.6361852, 0.6087356, 0.5893358, 
    0.5709859, 0.5526364, 0.5354872, 0.5193881, 0.5036891, 0.4919895, 
    0.4884893, 0.4933886, 0.507537, 0.5299848, 0.5554821, 0.5788793, 
    0.5934768, 0.599425, 0.5989748, 0.5925758, 0.5783276, 0.5539306, 
    0.524484, 0.4915376, 0.4607912, 0.4418445, 0.4314968, 0.424298, 
    0.4153491, 0.4049, 0.2987877, 0.1961749, 0.1961749, 0.1984757, 0.3032883, 
    0.2653548, 0.207079, 0.2731058, 0.4239998, 0.4289998, 0.4337996, 
    0.4357998, 0.4367499, 0.1311, 0.02185834, 0.1530084, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2966492, 2.952092, 2.898488, 2.842783, 2.766531, 2.666832, 2.556732, 
    2.445932, 2.328382, 2.223433, 2.142485, 2.074838, 2.013943, 1.976496, 
    1.961747, 1.955048, 1.954948, 1.962198, 1.974498, 1.987847, 2.001247, 
    2.017997, 2.033497, 2.045846, 2.056095, 2.059395, 2.054495, 2.043295, 
    2.028496, 2.012646, 1.991746, 1.966647, 1.932948, 1.890499, 1.848501, 
    1.801952, 1.746604, 1.693105, 0.8332525, 0.5164028, 0.7467152, 1.223864, 
    0.5470068, 0, 0.02284128, 0.2813901, 0.390752, 0.3660005, 0.3586006, 
    0.3562006, 0.3542507, 0.3516005, 0.3495502, 0.2962801, 0.0872167, 0, 
    0.01855708, 0.2485488, 0.4067465, 0.4494941, 0.5103418, 0.5853396, 
    0.6744872, 0.7765849, 0.8926829, 1.014681, 1.117481, 1.209082, 1.302232, 
    1.385182, 1.451983, 1.506884, 1.554335, 1.591636, 1.619736, 1.642937, 
    1.664438, 1.684188, 1.700989, 1.717789, 1.73589, 1.75274, 1.766991, 
    1.779141, 1.790442, 1.800442, 1.807993, 1.815194, 1.822394, 1.828345, 
    1.833496, 1.837947, 1.841497, 1.844597, 1.846748, 1.848548, 1.849998, 
    1.851448, 1.853248, 1.854698, 1.856548, 1.859098, 1.861498, 1.863898, 
    1.866448, 1.868297,
  1.884496, 1.880647, 1.869198, 1.852199, 1.83325, 1.814651, 1.794602, 
    1.776403, 1.763004, 1.761154, 1.812753, 1.904851, 1.998999, 2.088248, 
    2.170698, 2.232098, 2.27025, 2.297201, 2.310503, 2.284507, 2.252011, 
    2.237014, 2.237565, 2.245516, 2.249015, 2.251813, 2.259911, 2.266608, 
    2.264755, 2.251002, 2.220049, 2.189497, 2.181747, 2.201997, 2.242149, 
    2.285151, 2.319253, 2.346005, 2.363007, 2.369559, 2.36276, 2.342311, 
    2.310711, 2.27446, 2.24351, 2.22096, 2.204461, 2.195462, 2.196764, 
    2.222915, 2.359468, 2.59792, 2.845023, 3.053624, 3.204675, 3.275976, 
    3.288527, 3.267478, 3.194279, 3.000379, 2.755779, 2.52588, 2.358382, 
    2.284785, 2.279037, 2.306888, 2.353089, 2.400438, 2.433786, 2.444735, 
    2.415381, 2.358277, 2.307523, 2.279521, 2.275771, 2.301472, 2.348522, 
    2.394172, 2.450472, 2.500774, 2.551028, 2.589733, 2.346581, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.06232141, 0.6136184, 0.5729871, 
    0.5330554, 0.9031571, 0.8913783, 0.8432279, 0.8013777, 0.760178, 
    0.7223783, 0.6937283, 0.6731286, 0.6529294, 0.6314302, 0.6094814, 
    0.5885825, 0.5683334, 0.554484, 0.5522336, 0.5611826, 0.5837806, 
    0.6190774, 0.659224, 0.6983201, 0.7282661, 0.7452631, 0.7484617, 
    0.740811, 0.7211115, 0.6819146, 0.6342189, 0.5823233, 0.5313282, 
    0.4934329, 0.4689867, 0.4508401, 0.4300944, 0.3473764, 0.1000459, 0, 0, 
    0, 0.1015465, 0.06092793, 0, 0.0634791, 0.2123473, 0.2148485, 0.4136097, 
    0.4366498, 0.3278001, 0.06558006, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1493685, 
    1.936126, 2.963735, 2.937977, 2.876472, 2.771624, 2.657975, 2.547125, 
    2.430075, 2.321126, 2.228479, 2.140733, 2.054689, 1.998444, 1.979495, 
    1.969646, 1.967997, 1.974847, 1.987497, 2.001197, 2.015297, 2.033147, 
    2.051246, 2.068295, 2.081994, 2.087043, 1.559233, 1.028271, 1.950391, 
    2.036844, 2.014744, 1.985295, 1.943997, 1.894349, 1.8455, 1.792452, 
    1.729404, 1.671055, 1.203577, 1.245253, 1.332214, 1.006482, 0.2646213, 0, 
    0.2664987, 0.4338021, 0.3862497, 0.3649499, 0.3561504, 0.3532007, 
    0.3515005, 0.3498002, 0.349, 0.3489497, 0.2637091, 0.05322558, 
    0.01934113, 0.2576371, 0.4239963, 0.4793434, 0.5532401, 0.5313372, 
    0.3541624, 0.7335879, 0.9876271, 1.116326, 1.218976, 1.307627, 1.397927, 
    1.479629, 1.54173, 1.591231, 1.633282, 1.665084, 1.688985, 1.708336, 
    1.725986, 1.742587, 1.756738, 1.770889, 1.786389, 1.80034, 1.811491, 
    1.821241, 1.829442, 1.836193, 1.840993, 1.845094, 1.848894, 1.851595, 
    1.853996, 1.855696, 1.856996, 1.858297, 1.859247, 1.860197, 1.861497, 
    1.862797, 1.864497, 1.866547, 1.868997, 1.871747, 1.874997, 1.878246, 
    1.881046, 1.883796,
  1.901995, 1.896395, 1.880197, 1.858148, 1.834999, 1.81185, 1.787501, 
    1.764503, 1.747754, 1.744654, 1.800003, 1.899652, 2.0005, 2.093999, 
    2.177049, 2.2359, 2.269001, 2.289853, 2.293705, 2.253908, 2.207261, 
    2.179865, 2.172817, 2.178468, 2.185766, 2.196564, 2.214562, 2.232959, 
    2.243256, 2.242002, 2.2224, 2.200347, 2.195996, 2.214047, 2.246549, 
    2.280051, 2.305504, 2.323606, 2.332558, 2.332209, 2.320511, 2.297611, 
    2.266861, 2.23341, 2.20351, 2.17991, 2.160311, 2.146262, 2.142263, 
    2.161715, 2.287718, 2.511822, 2.744527, 2.941881, 3.083885, 3.148487, 
    3.155789, 3.13159, 3.05699, 2.864489, 2.622288, 2.393037, 2.218987, 
    2.137538, 2.12379, 2.146791, 2.191891, 2.242491, 2.28079, 2.299837, 
    2.285183, 2.246529, 2.209525, 2.191422, 2.191321, 2.213022, 2.254774, 
    2.301074, 2.357774, 2.043967, 1.842347, 2.454034, 1.259446, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6729562, 1.261132, 1.182481, 1.108378, 
    1.042625, 0.9877737, 0.9427226, 0.9025717, 0.8616213, 0.8233714, 
    0.7947212, 0.7734213, 0.7503719, 0.7247232, 0.6977245, 0.671426, 
    0.6464774, 0.6303281, 0.628978, 0.6423268, 0.6736745, 0.7231706, 
    0.7787164, 0.8349617, 0.8835564, 0.9158017, 0.9284483, 0.9274455, 
    0.909794, 0.8566978, 0.7912022, 0.720807, 0.6488625, 0.5899682, 
    0.5467239, 0.5094301, 0.4411007, 0.1449776, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1963551, 0.2186171, 0.1093085, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4491905, 
    2.267641, 3.034825, 2.991671, 2.882071, 2.765222, 2.653972, 2.538171, 
    2.425322, 2.321475, 2.21413, 2.103286, 2.027391, 2.004242, 1.990543, 
    1.986494, 1.991695, 2.002995, 2.015346, 2.029796, 2.048296, 2.069495, 
    2.092093, 2.109942, 2.117841, 1.058746, 0, 1.875492, 2.066041, 2.042742, 
    2.008593, 1.959945, 1.902847, 1.847749, 1.7881, 1.717702, 1.655303, 
    1.571255, 1.444157, 1.289257, 0.8176048, 0.2106371, 0.3726502, 0.5245801, 
    0.4317486, 0.3879995, 0.3649001, 0.3547003, 0.3512003, 0.3500003, 
    0.3491501, 0.34905, 0.3500997, 0.3539995, 0.2349811, 0.2101581, 
    0.3991477, 0.439496, 0.5088919, 0.5981874, 0.4710887, 0, 0.6852816, 
    1.089522, 1.223171, 1.324222, 1.408473, 1.494725, 1.570926, 1.627977, 
    1.671729, 1.708281, 1.734732, 1.753733, 1.769234, 1.782986, 1.795836, 
    1.806737, 1.817638, 1.829889, 1.84059, 1.848741, 1.855492, 1.860942, 
    1.865093, 1.867494, 1.869544, 1.870945, 1.871645, 1.872245, 1.872495, 
    1.872946, 1.873146, 1.873746, 1.874346, 1.875496, 1.876946, 1.878996, 
    1.881396, 1.884495, 1.887895, 1.891495, 1.895445, 1.898995, 1.901795,
  1.922493, 1.915493, 1.895594, 1.868746, 1.841497, 1.814248, 1.78545, 
    1.757751, 1.738252, 1.733802, 1.790152, 1.892902, 1.997252, 2.093201, 
    2.175902, 2.231853, 2.260504, 2.275856, 2.271158, 2.221511, 2.165013, 
    2.127765, 2.113068, 2.115619, 2.125768, 2.143266, 2.170113, 2.198661, 
    2.220257, 2.230304, 2.221851, 2.209498, 2.209496, 2.225597, 2.251498, 
    2.276951, 2.294253, 2.304905, 2.306108, 2.29886, 2.282511, 2.257762, 
    2.228061, 2.19816, 2.170259, 2.146909, 2.125359, 2.109009, 2.10101, 
    2.114012, 2.227816, 2.433223, 2.644281, 2.821038, 2.945845, 2.999249, 
    2.999301, 2.972402, 2.898352, 2.711299, 2.477296, 2.256942, 2.086289, 
    2.003339, 1.98429, 2.002692, 2.045592, 2.097392, 2.140041, 2.166239, 
    2.165785, 2.143331, 2.118777, 2.111374, 2.115972, 2.135373, 2.170025, 
    1.450194, 1.157109, 0.8198525, 1.170015, 1.539722, 0.1196733, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3810162, 0.7438436, 1.323738, 1.327929, 
    1.258975, 1.196671, 1.139569, 1.091616, 1.051465, 1.014464, 0.9755629, 
    0.9386621, 0.9107118, 0.8880126, 0.8626632, 0.8323647, 0.7997168, 
    0.7674186, 0.7371203, 0.7180213, 0.7167213, 0.7343201, 0.7749671, 
    0.8384129, 0.909958, 0.9839525, 1.052446, 1.10334, 1.131435, 1.14378, 
    1.135875, 1.070579, 0.9901827, 0.9031374, 0.8126925, 0.7336482, 
    0.6699543, 0.6066132, 0.252315, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.554989, 3.120825, 3.088874, 2.978224, 
    2.861973, 2.752372, 2.638871, 2.523521, 2.410224, 2.286429, 2.154335, 
    2.065037, 2.037238, 2.01994, 2.012541, 2.014642, 2.021994, 2.031445, 
    2.044845, 2.063445, 2.087744, 2.116592, 1.277919, 2.15094, 1.075994, 
    0.7534377, 2.014973, 2.100089, 2.075239, 2.036741, 1.981443, 1.917844, 
    1.856746, 1.790748, 1.71395, 1.648201, 1.560001, 1.429451, 1.216736, 
    0.4044979, 0.4244982, 0.7534453, 0.5690954, 0.4312019, 0.3845028, 
    0.3633508, 0.3542, 0.3507, 0.3495, 0.349, 0.3495997, 0.3518992, 
    0.3572486, 0.3660985, 0.3838487, 0.4074476, 0.4587428, 0.5439878, 
    0.6115562, 0.3791693, 0.221614, 0.7577266, 1.197366, 1.333116, 1.429218, 
    1.50677, 1.587672, 1.658424, 1.709726, 1.748077, 1.778429, 1.799881, 
    1.814232, 1.825783, 1.835484, 1.844286, 1.851487, 1.858688, 1.86689, 
    1.873841, 1.878992, 1.883093, 1.885993, 1.888294, 1.889244, 1.889844, 
    1.889995, 1.889995, 1.889995, 1.889995, 1.889995, 1.889995, 1.890494, 
    1.890994, 1.892044, 1.894094, 1.896494, 1.899244, 1.902994, 1.907044, 
    1.911243, 1.915443, 1.919893, 1.922793,
  1.946991, 1.938941, 1.916092, 1.885843, 1.854994, 1.823795, 1.790547, 
    1.759348, 1.736999, 1.731099, 1.787, 1.888251, 1.992252, 2.087502, 
    2.168253, 2.220455, 2.245506, 2.256207, 2.244159, 2.187012, 2.124513, 
    2.080565, 2.059717, 2.058818, 2.070018, 2.091368, 2.124666, 2.161414, 
    2.192511, 2.212758, 2.216153, 2.2133, 2.218748, 2.234348, 2.255399, 
    2.274151, 2.284503, 2.288206, 2.281708, 2.26801, 2.247512, 2.221412, 
    2.193661, 2.16756, 2.142759, 2.121458, 2.100407, 2.084356, 2.074507, 
    2.082158, 2.181264, 2.362174, 2.544534, 2.692595, 2.792805, 2.829862, 
    2.821815, 2.791366, 2.720415, 2.545359, 2.328801, 2.125894, 1.968238, 
    1.889835, 1.869035, 1.883586, 1.922737, 1.973038, 2.016789, 2.046539, 
    2.055586, 2.046682, 2.033528, 2.035775, 2.045274, 2.064524, 1.576133, 
    0.3221225, 0.1080753, 1.083151, 1.117769, 1.106161, 1.079404, 0.7470833, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2456801, 1.186707, 1.519129, 1.457728, 
    1.395526, 1.340472, 1.289968, 1.242514, 1.202911, 1.169458, 1.137406, 
    1.102104, 1.069053, 1.042452, 1.017603, 0.9895537, 0.9548551, 0.9159572, 
    0.8774094, 0.8411617, 0.8175636, 0.8157139, 0.836613, 0.8857105, 
    0.9621562, 1.049201, 1.140795, 1.229038, 1.300781, 1.348673, 1.379766, 
    1.388759, 1.31651, 1.225413, 1.126266, 1.02207, 0.927874, 0.8464295, 
    0.4701359, 0.03232232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.7867934, 2.708913, 3.16038, 3.052578, 2.940976, 
    2.834975, 2.725073, 2.608823, 2.488975, 2.353727, 2.20878, 2.112182, 
    2.079484, 2.058335, 2.046587, 2.044289, 2.04649, 2.051142, 2.060594, 
    2.078595, 2.105994, 1.384915, 0.2153487, 1.41597, 1.646362, 1.853311, 
    2.160736, 2.138636, 2.112486, 2.070587, 2.009039, 1.939991, 1.873493, 
    1.801745, 1.718747, 1.649948, 1.560499, 1.429749, 1.158549, 0, 0.4329962, 
    0.7739412, 0.5898408, 0.4316475, 0.2890629, 0.3080873, 0.3566483, 
    0.3533482, 0.3524979, 0.3523477, 0.3545469, 0.3583464, 0.3647464, 
    0.3732468, 0.3954934, 0.4289879, 0.496482, 0.5982762, 0.6398234, 
    0.2821389, 0.7520366, 1.007304, 1.313059, 1.445161, 1.532964, 1.602218, 
    1.67667, 1.741422, 1.786724, 1.819426, 1.843978, 1.86033, 1.870481, 
    1.877483, 1.883384, 1.887736, 1.891237, 1.894738, 1.89894, 1.902591, 
    1.904992, 1.907042, 1.908442, 1.909142, 1.909493, 1.909493, 1.909493, 
    1.909493, 1.909493, 1.909493, 1.909493, 1.909493, 1.909993, 1.910843, 
    1.912042, 1.914243, 1.916992, 1.920092, 1.924042, 1.928692, 1.933742, 
    1.938441, 1.943391, 1.946941,
  1.974489, 1.966089, 1.941589, 1.90924, 1.87599, 1.841691, 1.805042, 
    1.770594, 1.745744, 1.739095, 1.793345, 1.890847, 1.990999, 2.082401, 
    2.159253, 2.207555, 2.229755, 2.237606, 2.220158, 2.157609, 2.091261, 
    2.042412, 2.016764, 2.012366, 2.022766, 2.044716, 2.080316, 2.121915, 
    2.160013, 2.189709, 2.204555, 2.211751, 2.223499, 2.240498, 2.257799, 
    2.270801, 2.275253, 2.272356, 2.259158, 2.238811, 2.214262, 2.187263, 
    2.162261, 2.140759, 2.120757, 2.103905, 2.086853, 2.073801, 2.06475, 
    2.069001, 2.14906, 2.297973, 2.445787, 2.560351, 2.629914, 2.646822, 
    2.630325, 2.596326, 2.530524, 2.376464, 2.187801, 2.012089, 1.875979, 
    1.808024, 1.789023, 1.800125, 1.833727, 1.87848, 1.918532, 1.947034, 
    1.959484, 1.959731, 1.956528, 1.965576, 1.980573, 1.704251, 0.511143, 0, 
    1.039466, 2.129529, 1.59586, 1.81143, 2.118232, 1.76804, 0.5048612, 0, 0, 
    0, 0, 0, 0, 0.2721904, 0.9045535, 0.2705417, 0, 0.4996439, 1.639229, 
    1.580077, 1.521675, 1.46817, 1.425716, 1.387111, 1.350407, 1.320153, 
    1.2952, 1.270597, 1.241594, 1.213642, 1.188191, 1.162042, 1.130993, 
    1.092294, 1.048196, 1.003049, 0.9597514, 0.9306536, 0.926455, 0.948505, 
    1.003903, 1.0908, 1.191445, 1.299089, 1.407231, 1.501822, 1.572913, 
    1.628252, 1.660192, 1.587741, 1.492641, 1.388441, 1.278142, 1.177592, 
    0.790122, 0.1367551, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0.3932972, 0.6554953, 0, 0, 0, 0, 2.272188, 3.213331, 
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  2.035486, 2.026736, 2.001536, 1.967487, 1.931237, 1.893237, 1.852038, 
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    2.054135, 2.060335, 2.064586,
  2.090486, 2.082086, 2.057136, 2.025034, 1.992733, 1.957981, 1.91858, 
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    2.047484, 2.048384, 2.048634, 2.048984, 2.048984, 2.049884, 2.049984, 
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    2.071335, 2.076985, 2.082285, 2.087836, 2.091436,
  2.114486, 2.106436, 2.083334, 2.055431, 2.026729, 1.994878, 1.957526, 
    1.921026, 1.892976, 1.882078, 1.908734, 1.964094, 2.019254, 2.067412, 
    2.106718, 2.133322, 2.151273, 2.163971, 2.159866, 2.130407, 2.091997, 
    2.058839, 2.038984, 2.03583, 2.045729, 2.060879, 2.078132, 2.099137, 
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    2.055856, 2.069752, 2.093246, 2.12339, 2.158384, 2.190628, 2.213472, 
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    2.143234, 2.092737, 2.037539, 1.981991, 1.925987, 1.869985, 1.824434, 
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    1.855652, 1.8542, 1.85135, 1.844699, 1.833797, 1.820196, 1.804144, 
    1.783992, 1.75559, 1.715938, 1.665786, 1.608186, 1.562587, 1.54169, 
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    0.6364591, 0.6679512, 0.7588932, 0.8882856, 0.4842164, 0, 1.270338, 
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    2.081276, 2.09223, 2.093984, 2.092236, 2.089887, 2.086738, 2.083238, 
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    2.076784, 2.077484, 2.077484, 2.078384, 2.078484, 2.078484, 2.079184, 
    2.080534, 2.082585, 2.085485, 2.088385, 2.092535, 2.097536, 2.102236, 
    2.107286, 2.111937, 2.115287,
  2.136487, 2.130535, 2.11278, 2.090127, 2.065474, 2.036622, 2.00187, 
    1.96572, 1.936222, 1.920725, 1.933386, 1.9691, 2.006762, 2.039522, 
    2.06703, 2.087084, 2.103785, 2.119433, 2.124377, 2.111267, 2.090006, 
    2.071546, 2.063187, 2.066882, 2.079481, 2.093831, 2.105035, 2.117391, 
    2.137247, 2.167952, 2.206306, 2.242309, 2.269012, 2.279615, 2.274466, 
    2.259066, 2.235017, 2.199766, 2.150567, 2.101617, 2.065517, 2.043065, 
    2.04246, 2.064854, 2.096999, 2.136144, 2.176844, 2.213195, 2.240247, 
    2.260647, 2.279444, 2.290992, 2.294494, 2.285745, 2.256344, 2.219434, 
    2.176226, 2.12847, 2.076363, 2.017965, 1.964216, 1.911515, 1.868612, 
    1.868161, 1.890462, 1.238473, 0.965957, 0.9847305, 1.000751, 0.3018772, 
    0, 0, 0, 0, 0.1102619, 1.102169, 1.098873, 1.09383, 2.054845, 2.146734, 
    2.122737, 2.09174, 2.055343, 2.018044, 1.986992, 1.95384, 1.925735, 
    1.91768, 1.923477, 1.931726, 1.945827, 1.964828, 1.979977, 1.989175, 
    1.999723, 2.00052, 1.988716, 1.971663, 1.956209, 1.945305, 1.940203, 
    1.937902, 1.937001, 1.93695, 1.9367, 1.935399, 1.930248, 1.921247, 
    1.909446, 1.895545, 1.878444, 1.852842, 1.816441, 1.76814, 1.709641, 
    1.661543, 1.635447, 1.633152, 1.66961, 1.749918, 1.858976, 2.000232, 
    2.193233, 2.422979, 2.658216, 2.909898, 3.181074, 3.365847, 3.468369, 
    3.581397, 3.529989, 1.393704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.1722842, 0.9154025, 1.349625, 0.1389526, 0, 0, 0, 0, 0, 
    0, 0, 1.754065, 3.400361, 3.315256, 3.243451, 3.175394, 3.093286, 
    3.000479, 2.89682, 2.777508, 2.6768, 2.6102, 2.545003, 2.476958, 
    2.415314, 2.359969, 2.305325, 2.143522, 0.7779722, 0, 0, 0, 0, 0.6085104, 
    1.213166, 2.299186, 2.40413, 2.385478, 2.355976, 2.311873, 2.25892, 
    2.203217, 2.137362, 2.059057, 1.704031, 0.9401748, 0.8701373, 0.7108383, 
    0, 0, 0, 0, 0, 0, 0, 0.02891378, 0.3717399, 0.5672265, 0.5864219, 
    0.621365, 0.6637084, 0.7089531, 0.7538447, 0.8583363, 0.99923, 0.5419637, 
    0, 1.373787, 1.684535, 1.831941, 1.9433, 2.004611, 2.051969, 2.078472, 
    2.100777, 2.115482, 2.119886, 2.116489, 2.111341, 2.106992, 2.102943, 
    2.098993, 2.095743, 2.092143, 2.090192, 2.088992, 2.088141, 2.088041, 
    2.088791, 2.08999, 2.091189, 2.092989, 2.094938, 2.096737, 2.098536, 
    2.099986, 2.101436, 2.102735, 2.102985, 2.103486, 2.103985, 2.103985, 
    2.104685, 2.105985, 2.107585, 2.110235, 2.112886, 2.116086, 2.120537, 
    2.124737, 2.128937, 2.132987, 2.136287,
  2.156987, 2.154884, 2.144229, 2.127975, 2.108221, 2.083218, 2.050667, 
    2.013917, 1.98172, 1.959325, 1.954636, 1.968151, 1.986764, 2.002575, 
    2.016435, 2.029341, 2.044541, 2.06254, 2.075486, 2.078776, 2.075264, 
    2.072453, 2.077345, 2.089089, 2.104487, 2.117089, 2.122393, 2.125849, 
    2.135756, 2.157562, 2.188917, 2.21992, 2.242772, 2.249874, 2.244023, 
    2.229222, 2.20627, 2.172119, 2.123518, 2.074618, 2.038518, 2.018167, 
    2.022965, 2.051214, 2.088262, 2.130563, 2.170265, 2.203768, 2.229268, 
    2.24812, 2.269769, 2.288062, 2.295256, 2.290899, 2.270987, 2.250725, 
    2.219967, 2.18291, 2.142601, 2.086546, 2.029949, 1.974753, 1.931756, 
    1.634204, 0.9617813, 0.2903368, 0, 0, 0, 0, 0, 0, 0, 0, 1.128238, 
    2.232666, 2.224218, 2.213319, 2.199272, 2.176028, 2.145733, 2.10739, 
    2.063247, 2.027794, 2.00024, 1.976181, 1.96851, 1.981486, 1.991683, 
    2.002581, 2.017679, 2.036128, 2.051429, 2.062179, 2.071183, 2.063299, 
    2.047208, 2.034606, 2.023704, 2.017351, 2.0152, 2.0141, 2.014049, 
    2.015099, 2.015449, 2.014749, 2.010298, 2.002548, 1.991947, 1.979247, 
    1.963946, 1.940595, 1.906194, 1.857794, 1.796996, 1.744051, 1.710956, 
    1.699562, 1.723521, 1.789482, 1.884492, 2.0145, 2.202755, 2.437154, 
    2.688246, 2.962785, 3.265768, 3.490244, 3.623932, 3.766017, 3.935548, 
    2.854166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3357124, 1.152305, 1.256997, 0.1287609, 0, 0, 0, 0, 0, 0, 0, 0.1709277, 
    1.698313, 2.466378, 3.226772, 3.170413, 3.100306, 3.020496, 2.933333, 
    2.834269, 2.748208, 2.683706, 2.615706, 2.540061, 2.471464, 2.409966, 
    2.34742, 2.061979, 0, 0, 0, 0, 0, 0, 0, 1.219048, 2.433732, 2.417231, 
    2.39058, 2.349878, 2.300776, 2.250473, 2.190719, 2.118916, 1.457725, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2978795, 0.5910351, 0.5992323, 0.6280744, 
    0.6758646, 0.7306051, 0.78395, 0.840793, 0.9581847, 1.108229, 0.5982137, 
    0, 1.467992, 1.779843, 1.915451, 2.011163, 2.054075, 2.093477, 2.114732, 
    2.130735, 2.137989, 2.135843, 2.128495, 2.120797, 2.114598, 2.109948, 
    2.105998, 2.103098, 2.100147, 2.098697, 2.097497, 2.097347, 2.098046, 
    2.099446, 2.101495, 2.103894, 2.106544, 2.109743, 2.112742, 2.115392, 
    2.117891, 2.119591, 2.12174, 2.122839, 2.123089, 2.123989, 2.124239, 
    2.125189, 2.126539, 2.128588, 2.130988, 2.133388, 2.136487, 2.140038, 
    2.144238, 2.147738, 2.151439, 2.154589,
  2.176487, 2.177885, 2.174229, 2.164825, 2.150221, 2.129668, 2.099916, 
    2.062466, 2.026469, 1.995726, 1.974836, 1.9672, 1.966513, 1.965825, 
    1.966234, 1.97109, 1.984541, 2.00394, 2.023386, 2.039528, 2.05127, 
    2.06266, 2.079203, 2.098997, 2.115997, 2.125999, 2.125803, 2.121758, 
    2.123012, 2.137566, 2.164516, 2.192817, 2.213518, 2.219867, 2.215066, 
    2.202314, 2.181763, 2.148962, 2.100363, 2.049666, 2.012018, 1.991519, 
    1.997969, 2.028168, 2.066268, 2.10647, 2.142772, 2.173474, 2.197526, 
    2.214926, 2.236327, 2.261025, 2.277519, 2.287007, 2.286642, 2.282232, 
    2.263723, 2.238913, 2.212453, 2.167094, 2.112437, 2.051141, 1.087296, 
    0.6852201, 0, 0, 0, 0.3274351, 1.092948, 1.095495, 0.1095944, 0, 0, 0, 
    1.136131, 2.285911, 2.275211, 2.262063, 2.244216, 2.216317, 2.178971, 
    2.131127, 2.079031, 2.045481, 2.025724, 2.022404, 1.103721, 1.016088, 
    1.022447, 1.831966, 2.192178, 2.208332, 2.218838, 2.224445, 2.218013, 
    2.178841, 2.135918, 2.105946, 2.092302, 2.08865, 2.0877, 2.08745, 
    2.087949, 2.08875, 2.08945, 2.08875, 2.084799, 2.077549, 2.067449, 
    2.055598, 2.041048, 2.019696, 1.986197, 1.935199, 1.869804, 1.80946, 
    1.767467, 1.745775, 1.755785, 1.804448, 1.88326, 2.00022, 2.181225, 
    2.415726, 2.674024, 2.961369, 3.281911, 3.528306, 3.675, 3.832544, 
    4.021687, 2.925639, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.05142698, 0.6777012, 1.070557, 0.7473205, 0.06038549, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.8111483, 1.607576, 2.980706, 3.08207, 3.018507, 2.951092, 
    2.874127, 2.804765, 2.743712, 2.675662, 2.596212, 2.525312, 2.461463, 
    2.392018, 2.093428, 0, 0, 0, 0, 0, 0, 0, 0.1227237, 1.59481, 2.44523, 
    2.420479, 2.382877, 2.337773, 2.293219, 2.239214, 2.173159, 1.49727, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.2156438, 0.5496841, 0.3015269, 0.4687042, 
    0.6631774, 0.7219722, 0.7938581, 0.8567001, 0.919549, 1.048541, 1.207934, 
    1.01994, 0.2222844, 1.54705, 1.854905, 1.976465, 2.054977, 2.084983, 
    2.117989, 2.13574, 2.147892, 2.148946, 2.14095, 2.130502, 2.120753, 
    2.113603, 2.108304, 2.104255, 2.101604, 2.099554, 2.098204, 2.097253, 
    2.097703, 2.099502, 2.101601, 2.104251, 2.107601, 2.111549, 2.116048, 
    2.119998, 2.123597, 2.126947, 2.129596, 2.131996, 2.134045, 2.135044, 
    2.136144, 2.136994, 2.138543, 2.140542, 2.143242, 2.145992, 2.148741, 
    2.152441, 2.15589, 2.15974, 2.16324, 2.166441, 2.16969,
  2.188496, 2.193044, 2.196588, 2.193334, 2.184229, 2.168126, 2.142273, 
    2.105871, 2.066223, 2.027279, 1.992638, 1.967999, 1.950759, 1.935619, 
    1.924477, 1.922181, 1.933283, 1.954182, 1.979078, 2.003774, 2.024769, 
    2.045765, 2.07056, 2.095308, 2.112009, 2.118912, 2.113316, 2.10342, 
    2.100271, 2.11322, 2.141018, 2.170466, 2.192263, 2.20076, 2.198558, 
    2.188106, 2.169005, 2.136256, 2.08436, 2.029613, 1.988016, 1.964271, 
    1.969123, 1.999973, 2.038023, 2.075725, 2.108927, 2.138177, 2.161028, 
    2.177928, 2.199577, 2.227573, 2.253016, 2.280902, 2.299739, 2.309528, 
    2.304468, 2.293457, 2.282894, 2.251982, 1.647516, 1.047922, 0.1039059, 0, 
    0, 0, 0.1108832, 1.438123, 2.206723, 2.205233, 1.216999, 1.120065, 
    0.5661481, 0, 1.16899, 2.329726, 2.318975, 2.304725, 2.285874, 2.257873, 
    2.216724, 2.162976, 2.107727, 2.076223, 2.071958, 2.102328, 0.211342, 0, 
    0.6375407, 2.08688, 2.450394, 2.4597, 2.45981, 2.449076, 2.413652, 
    2.333583, 2.251662, 2.182692, 2.160249, 2.15715, 2.15645, 2.15645, 
    2.1569, 2.15725, 2.15795, 2.15725, 2.15375, 2.1467, 2.13695, 2.1251, 
    2.11065, 2.090201, 2.055453, 1.999357, 1.926214, 1.856272, 1.803481, 
    1.769242, 1.762655, 1.79247, 1.854283, 1.958442, 2.131997, 2.36375, 
    2.623301, 2.914701, 3.242298, 3.494395, 3.646044, 3.808892, 4.001894, 
    2.911683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5152796, 
    1.030998, 1.030998, 0.3092995, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.553326, 3.046582, 3.008258, 2.960494, 2.905527, 2.84962, 2.792966, 
    2.726514, 2.646415, 2.576014, 2.509717, 2.43432, 2.12228, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.3704558, 1.850166, 2.449728, 2.415926, 2.376071, 2.338965, 
    2.292758, 2.2352, 1.542763, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4430832, 
    0.5760772, 0, 0.1624938, 0.5958752, 0.7646652, 0.8531554, 0.9286948, 
    0.9930437, 1.132636, 1.299882, 1.459434, 1.053585, 1.697976, 1.913211, 
    2.017974, 2.078289, 2.101643, 2.129843, 2.145995, 2.1534, 2.148554, 
    2.136058, 2.123009, 2.11206, 2.10416, 2.09866, 2.09426, 2.091611, 
    2.09001, 2.08886, 2.088759, 2.089709, 2.092009, 2.094908, 2.098507, 
    2.102807, 2.108056, 2.113855, 2.118754, 2.123304, 2.127502, 2.131102, 
    2.133752, 2.136401, 2.138451, 2.139801, 2.14125, 2.1434, 2.146, 2.1489, 
    2.15225, 2.155599, 2.159499, 2.163399, 2.166999, 2.17025, 2.173499, 
    2.177648,
  2.187006, 2.194355, 2.204051, 2.206696, 2.202992, 2.191588, 2.170084, 
    2.135384, 2.094234, 2.049238, 2.003595, 1.966653, 1.93801, 1.912866, 
    1.893721, 1.887072, 1.896523, 1.918572, 1.948119, 1.978465, 2.004013, 
    2.028862, 2.056811, 2.081663, 2.096765, 2.099618, 2.089771, 2.075673, 
    2.071274, 2.086471, 2.118017, 2.151513, 2.17751, 2.190905, 2.19335, 
    2.184749, 2.166249, 2.131301, 2.073906, 2.013911, 1.967265, 1.93812, 
    1.938824, 1.968625, 2.006526, 2.042676, 2.074077, 2.103177, 2.126026, 
    2.143276, 2.165825, 2.197623, 2.232765, 2.277354, 2.311343, 2.336481, 
    2.345719, 2.350056, 2.358839, 1.989389, 0.5694028, 0, 0, 0, 0, 0, 
    0.2240968, 2.240971, 2.235482, 2.221941, 2.220495, 2.244698, 1.13425, 0, 
    1.174437, 2.356583, 2.349228, 2.336277, 2.318476, 2.292324, 2.251472, 
    2.196971, 2.036488, 1.048613, 1.601792, 2.207808, 1.321592, 1.309417, 
    2.02506, 2.713466, 2.735565, 2.733876, 2.71854, 2.684659, 2.616934, 
    2.495666, 2.373899, 2.26508, 2.226798, 2.22215, 2.2212, 2.220601, 
    2.220452, 2.220602, 2.220952, 2.219903, 2.216253, 2.209353, 2.200203, 
    2.188252, 2.173602, 2.151804, 2.112459, 2.049316, 1.967123, 1.886432, 
    1.821491, 1.772304, 1.747119, 1.757335, 1.802797, 1.895506, 2.061562, 
    2.287867, 2.543823, 2.833026, 3.16013, 3.413381, 3.562836, 3.724889, 
    3.713462, 1.447094, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9332929, 1.036992, 0.7769058, 0.1550458, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.3004537, 3.007379, 3.005247, 2.976881, 2.935526, 2.886972, 
    2.834969, 2.770368, 2.68922, 2.61927, 2.549971, 2.470873, 2.149428, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.6207343, 1.234107, 2.324821, 2.415318, 2.388209, 
    2.353399, 1.254763, 0.7848946, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2275107, 
    0.605078, 0.2421648, 0, 0.5263778, 0.8114623, 0.9135013, 1.002441, 
    1.073881, 1.221277, 1.390977, 1.545683, 1.701091, 1.843203, 1.959568, 
    2.045484, 2.09184, 2.110543, 2.134949, 2.146754, 2.148757, 2.13911, 
    2.122813, 2.107515, 2.095716, 2.087216, 2.081666, 2.077017, 2.074117, 
    2.072067, 2.071167, 2.072017, 2.073217, 2.076016, 2.079715, 2.084265, 
    2.089514, 2.096063, 2.103012, 2.108762, 2.114161, 2.11946, 2.123759, 
    2.127009, 2.129909, 2.132459, 2.134308, 2.135758, 2.137909, 2.140559, 
    2.143908, 2.147259, 2.150609, 2.154459, 2.157909, 2.16126, 2.16391, 
    2.16756, 2.172959,
  2.171519, 2.180618, 2.194615, 2.202411, 2.203258, 2.196404, 2.179401, 
    2.146549, 2.104999, 2.056451, 2.003106, 1.957861, 1.922515, 1.892417, 
    1.871316, 1.864714, 1.874762, 1.898111, 1.931158, 1.965706, 1.993504, 
    2.018855, 2.044159, 2.064116, 2.074771, 2.073175, 2.059778, 2.04318, 
    2.040028, 2.059623, 2.097067, 2.136861, 2.168505, 2.18825, 2.196544, 
    2.189893, 2.170494, 2.131149, 2.066905, 1.999912, 1.947267, 1.913171, 
    1.909424, 1.936627, 1.974776, 2.011175, 2.043073, 2.072823, 2.096522, 
    2.11497, 2.138819, 2.172668, 2.215014, 2.269609, 2.316499, 2.357236, 
    2.381972, 2.403907, 2.435037, 2.083324, 0.6192111, 0, 0, 0, 0, 0, 
    1.140765, 2.267536, 2.249245, 2.22745, 2.222003, 2.242955, 1.704544, 
    0.3432242, 0.1185482, 1.542334, 2.370238, 2.358837, 2.342186, 2.319382, 
    2.282477, 1.450283, 1.086548, 1.104946, 1.685771, 2.328195, 2.51366, 
    2.73057, 2.900041, 2.992529, 3.01478, 2.999043, 2.964559, 2.906979, 
    2.810002, 2.652429, 2.49166, 2.348035, 2.291696, 2.283849, 2.281701, 
    2.279902, 2.278953, 2.278304, 2.277955, 2.276555, 2.272805, 2.266354, 
    2.257204, 2.245255, 2.230056, 2.205658, 2.158965, 2.087772, 1.99603, 
    1.90424, 1.827499, 1.763361, 1.719027, 1.708545, 1.738059, 1.820068, 
    1.977126, 2.195134, 2.442343, 2.723503, 3.042363, 3.292217, 3.430381, 
    3.582545, 3.368742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.1492997, 1.950194, 3.017483, 3.00118, 2.964077, 2.919874, 2.870972, 
    2.807371, 2.725521, 2.262081, 1.286151, 1.245933, 1.083562, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.233849, 2.454967, 2.441953, 2.424036, 0.2418931, 
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    0.8180788, 0.9753976, 1.075689, 1.160228, 1.311526, 1.47848, 1.625437, 
    1.769248, 1.895062, 1.992429, 2.060992, 2.099448, 2.1152, 2.133104, 
    2.139758, 2.137311, 2.123615, 2.103868, 2.086769, 2.074219, 2.06522, 
    2.058871, 2.053522, 2.049923, 2.047074, 2.045824, 2.047024, 2.048224, 
    2.051574, 2.056223, 2.061273, 2.067372, 2.075122, 2.08367, 2.090269, 
    2.096519, 2.102468, 2.107567, 2.111517, 2.114766, 2.117466, 2.119317, 
    2.120517, 2.122417, 2.125067, 2.128268, 2.131018, 2.133769, 2.13692, 
    2.139271, 2.142022, 2.144072, 2.148072, 2.154272,
  2.141533, 2.152381, 2.170127, 2.181974, 2.186771, 2.184217, 2.170914, 
    2.140712, 2.099261, 2.048713, 1.990167, 1.93982, 1.901272, 1.87077, 
    1.852367, 1.849463, 1.862259, 1.888356, 1.924653, 1.962001, 1.990002, 
    2.013105, 2.031612, 2.043021, 2.046278, 2.039383, 2.021887, 2.003638, 
    2.003785, 2.02948, 2.074622, 2.122664, 2.161258, 2.187252, 2.202346, 
    2.199391, 2.178492, 2.133447, 2.061404, 1.986611, 1.927517, 1.88907, 
    1.882422, 1.907773, 1.947271, 1.986766, 2.021114, 2.053111, 2.078259, 
    2.098158, 2.122759, 2.156959, 2.201259, 2.260606, 2.317899, 2.374634, 
    2.416219, 2.456753, 2.511681, 2.149696, 0.6213434, 0, 0, 0, 0, 0, 
    2.054956, 2.267814, 2.242517, 2.218266, 2.212913, 2.233611, 2.272257, 
    1.499217, 1.17772, 1.548777, 2.383739, 2.371991, 1.295963, 1.167054, 
    1.150024, 1.1358, 1.237304, 2.24769, 2.318167, 2.452342, 2.678158, 
    2.934979, 3.130813, 3.23251, 3.252063, 3.222075, 3.168092, 3.08891, 
    2.967278, 2.780801, 2.590171, 2.424384, 2.357591, 2.346243, 2.342195, 
    2.339545, 2.337496, 2.336146, 2.335197, 2.333897, 2.330296, 2.323697, 
    2.313948, 2.301399, 2.284101, 2.256055, 2.200713, 2.120872, 2.01893, 
    1.915541, 1.827251, 1.749114, 1.686379, 1.655246, 1.668062, 1.738273, 
    1.883585, 2.089298, 2.32411, 2.590077, 2.891148, 3.12567, 3.245189, 
    3.372418, 3.333712, 1.216202, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0.4545499, 2.278323, 3.023632, 2.987682, 2.946779, 
    2.901226, 2.839224, 2.757574, 1.894183, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.1240183, 1.239581, 1.237177, 1.233371, 0.1232168, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.401156, 0.5042374, 0.8586974, 
    1.237939, 1.393683, 1.557335, 1.250978, 1.559525, 1.93442, 2.012836, 
    2.067747, 2.099203, 2.112355, 2.124411, 2.126515, 2.120218, 2.10322, 
    2.08172, 2.06402, 2.050871, 2.041121, 2.033223, 2.026774, 2.021027, 
    2.01618, 2.01418, 2.014781, 2.016081, 2.019182, 2.024232, 2.029781, 
    2.036731, 2.045629, 2.055479, 2.063278, 2.070377, 2.077376, 2.082726, 
    2.087275, 2.090775, 2.093426, 2.094826, 2.095776, 2.097077, 2.099028, 
    2.100979, 2.10278, 2.104581, 2.106483, 2.107983, 2.109535, 2.110735, 
    2.115035, 2.121735,
  2.099044, 2.111993, 2.13319, 2.148886, 2.157532, 2.159178, 2.149824, 
    2.122322, 2.082021, 2.029822, 1.967724, 1.914526, 1.875525, 1.847722, 
    1.833966, 1.836511, 1.853756, 1.883602, 1.923449, 1.9617, 1.987503, 
    2.005259, 2.014169, 2.015629, 2.010288, 1.996545, 1.9741, 1.954601, 
    1.958797, 1.991689, 2.045631, 2.102622, 2.148765, 2.181957, 2.205249, 
    2.208492, 2.18824, 2.138943, 2.059, 1.977106, 1.91276, 1.871162, 
    1.863911, 1.88971, 1.932007, 1.97745, 2.016644, 2.052989, 2.081235, 
    2.101785, 2.124588, 2.155194, 2.196748, 2.255802, 2.318351, 2.023718, 
    1.839353, 2.50531, 2.453979, 0.907127, 0, 0, 0, 0, 0, 0, 2.046709, 
    2.252713, 2.226761, 2.204658, 2.202206, 2.224056, 2.265255, 2.312752, 
    2.360149, 2.388495, 2.393493, 2.379246, 1.29933, 1.173672, 1.16384, 
    1.948236, 2.280109, 2.317484, 2.412412, 2.574538, 2.835558, 3.119487, 
    3.32858, 3.432679, 3.446985, 3.402749, 3.330865, 3.23308, 3.091098, 
    2.882665, 2.675175, 2.498831, 2.426784, 2.413435, 2.408186, 2.405036, 
    2.402486, 2.400787, 2.399936, 2.398387, 2.394687, 2.386888, 2.37594, 
    2.361842, 2.341046, 2.307452, 2.243709, 2.154418, 2.042277, 1.927338, 
    1.827498, 1.73606, 1.656275, 1.606242, 1.602307, 1.658221, 1.787888, 
    1.975907, 2.193376, 2.437449, 2.711128, 2.915361, 3.01423, 3.109957, 
    3.221701, 2.31303, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7364, 0.9994975, 0.368882, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4568024, 2.289834, 3.036695, 2.999946, 2.962642, 2.922236, 2.863632, 
    2.646534, 0.9537632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3028098, 
    0.6375286, 0.798375, 1.627688, 0.8532208, 0.6602706, 1.869003, 2.026988, 
    2.070249, 2.094955, 2.105457, 2.111213, 2.108767, 2.099669, 2.081369, 
    2.060668, 2.044016, 2.030166, 2.019518, 2.009769, 2.001022, 1.991926, 
    1.98288, 1.978434, 1.976538, 1.977089, 1.979291, 1.984241, 1.990041, 
    1.99759, 2.00759, 2.018438, 2.027537, 2.035586, 2.043436, 2.049734, 
    2.054285, 2.057785, 2.059985, 2.061185, 2.061536, 2.061887, 2.062089, 
    2.06254, 2.062792, 2.063393, 2.063995, 2.064197, 2.064547, 2.064898, 
    2.069098, 2.076697,
  2.045058, 2.060106, 2.084753, 2.104299, 2.116795, 2.122292, 2.117737, 
    2.093783, 2.054782, 2.001782, 1.936785, 1.881387, 1.843286, 1.819532, 
    1.811027, 1.819372, 1.841767, 1.875713, 1.91876, 1.957109, 1.979513, 
    1.990369, 1.988629, 1.978741, 1.96405, 1.942708, 1.914863, 1.893765, 
    1.900564, 1.940958, 2.005097, 2.071736, 2.126527, 2.168718, 2.201259, 
    2.213598, 2.199239, 2.150585, 2.065987, 1.978691, 1.911742, 1.86999, 
    1.864886, 1.893582, 1.939978, 1.991622, 2.038564, 2.082255, 2.114701, 
    2.133854, 2.151212, 2.172074, 2.205734, 2.258642, 2.200179, 1.196956, 
    1.851564, 2.539875, 1.309389, 0, 0, 0, 0, 0, 0, 0, 2.032219, 2.236019, 
    2.211767, 2.192765, 2.193611, 2.217207, 2.261003, 2.313896, 2.365092, 
    2.394893, 2.396002, 2.376809, 2.358862, 2.345812, 2.329006, 2.309396, 
    2.310634, 2.36867, 2.482706, 2.668486, 2.953171, 3.252213, 3.465662, 
    3.569563, 3.579814, 3.532756, 3.455899, 3.351745, 3.195754, 2.973463, 
    2.757169, 2.576571, 2.502322, 2.487774, 2.481924, 2.478175, 2.475475, 
    2.473775, 2.472925, 2.471025, 2.466676, 2.458076, 2.445428, 2.428581, 
    2.404334, 2.364789, 2.293447, 2.194805, 2.072665, 1.946625, 1.835486, 
    1.731349, 1.635614, 1.567382, 1.546549, 1.586265, 1.696685, 1.862208, 
    2.055885, 2.272314, 2.5121, 2.681184, 2.761001, 2.829625, 2.899311, 
    2.478387, 0.6909052, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2624891, 0.8938935, 0.5268175, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6473399, 0.588255, 0, 0, 1.241733, 1.927929, 3.047267, 3.030966, 
    2.995214, 2.963456, 2.930248, 2.877442, 1.405569, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.08155814, 1.102936, 0.8867155, 0, 1.80197, 
    2.044828, 2.07624, 2.092949, 2.100003, 2.09886, 2.091765, 2.081166, 
    2.064562, 2.048355, 2.035251, 2.021799, 2.009551, 1.997853, 1.985507, 
    1.971762, 1.957218, 1.945628, 1.936787, 1.932845, 1.933746, 1.937748, 
    1.943548, 1.951448, 1.962097, 1.973747, 1.984046, 1.992945, 2.001045, 
    2.008245, 2.012794, 2.016294, 2.017995, 2.018396, 2.017548, 2.016699, 
    2.0151, 2.013603, 2.012054, 2.010857, 2.009958, 2.00841, 2.007811, 
    2.007212, 2.011162, 2.019662,
  1.980071, 1.99687, 2.025266, 2.048563, 2.064559, 2.074254, 2.0743, 
    2.055044, 2.018291, 1.965091, 1.897394, 1.840095, 1.802295, 1.781993, 
    1.778987, 1.792582, 1.819278, 1.856825, 1.902223, 1.941173, 1.960526, 
    1.964832, 1.952493, 1.930206, 1.905816, 1.876873, 1.844527, 1.821778, 
    1.829827, 1.875323, 1.949165, 2.026654, 2.091293, 2.144032, 2.188267, 
    2.212604, 2.208992, 2.167232, 2.086173, 1.998519, 1.932466, 1.894411, 
    1.894753, 1.928398, 1.979942, 2.038134, 2.093875, 2.143373, 2.17443, 
    2.190783, 2.198993, 2.206258, 2.226974, 2.267291, 2.078956, 0.7263067, 
    2.454767, 1.650689, 0.1291623, 0, 0, 0, 0, 0, 0, 0, 1.122984, 2.209684, 
    2.186534, 2.170031, 2.174079, 2.201225, 2.251766, 2.312807, 2.370398, 
    2.400197, 2.390509, 2.361922, 2.338728, 1.980582, 1.739196, 2.306061, 
    2.319848, 2.391885, 2.52047, 2.7264, 3.026733, 3.333326, 3.547925, 
    3.651574, 3.661873, 3.625659, 3.557399, 3.455549, 3.292005, 3.063109, 
    2.842661, 2.660712, 2.585812, 2.570611, 2.564162, 2.559813, 2.556963, 
    2.555114, 2.554163, 2.552513, 2.547214, 2.537765, 2.523417, 2.503819, 
    2.476173, 2.431428, 2.353184, 2.245893, 2.114601, 1.978411, 1.856222, 
    1.739984, 1.628949, 1.543017, 1.504784, 1.527452, 1.617373, 1.757599, 
    1.923628, 2.10926, 2.312697, 2.447031, 2.511744, 2.558614, 2.59709, 
    2.611721, 1.301669, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.526, 
    1.052, 0.1052, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.293807, 1.440217, 
    0.475281, 0, 2.454469, 2.915958, 2.267322, 1.514375, 1.49719, 1.483011, 
    1.468482, 1.443782, 0.1436417, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.2719021, 0.946165, 1.007296, 1.943494, 2.076509, 2.095721, 
    2.103031, 2.101943, 2.092852, 2.081505, 2.071204, 2.058799, 2.049991, 
    2.042734, 2.03198, 2.018481, 2.003935, 1.987239, 1.967047, 1.943559, 
    1.920772, 1.900784, 1.888144, 1.884851, 1.887103, 1.892304, 1.900304, 
    1.911604, 1.923753, 1.934303, 1.943803, 1.952502, 1.959752, 1.964302, 
    1.967453, 1.968454, 1.967605, 1.965306, 1.962658, 1.959061, 1.955164, 
    1.951566, 1.947969, 1.945021, 1.942123, 1.940324, 1.938525, 1.941776, 
    1.951125,
  1.903089, 1.921288, 1.952835, 1.979831, 1.999327, 2.013573, 2.018816, 
    2.004761, 1.971556, 1.919454, 1.850903, 1.792454, 1.754554, 1.736602, 
    1.738947, 1.757641, 1.788037, 1.827885, 1.874584, 1.912587, 1.928791, 
    1.927496, 1.904956, 1.871018, 1.836329, 1.799538, 1.763142, 1.739094, 
    1.749092, 1.797938, 1.877135, 1.965374, 2.041062, 2.105898, 2.164283, 
    2.202916, 2.212252, 2.182736, 2.114618, 2.038447, 1.980433, 1.950771, 
    1.960509, 2.001649, 2.06039, 2.126481, 2.190622, 2.242121, 2.262885, 
    2.2707, 2.265318, 2.255389, 2.257463, 2.277039, 1.26952, 1.5203, 
    1.810107, 0.3732426, 0, 0, 0, 0, 0, 0, 0, 0, 1.090643, 2.17903, 2.156279, 
    2.142277, 2.148923, 2.178971, 2.238512, 2.308203, 2.373296, 2.404095, 
    2.379514, 2.337779, 2.193979, 0.8116236, 1.141768, 2.287728, 2.314364, 
    2.398802, 2.541737, 2.766917, 3.082301, 3.398838, 3.624915, 3.734453, 
    3.7468, 3.71715, 3.65415, 3.551951, 3.384153, 3.152954, 2.932153, 
    2.750202, 2.675751, 2.660601, 2.65415, 2.649451, 2.646451, 2.64475, 
    2.644149, 2.6425, 2.6366, 2.625303, 2.609155, 2.587058, 2.555162, 
    2.505717, 2.421922, 2.308028, 2.169933, 2.024992, 1.892951, 1.765463, 
    1.640227, 1.537594, 1.482761, 1.48778, 1.556054, 1.670132, 1.80886, 
    1.964391, 2.133675, 2.247383, 2.301692, 2.334302, 2.353815, 2.347576, 
    1.7107, 0.3275015, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2420338, 
    1.04165, 0.75194, 0.05271194, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2913786, 
    0.6124439, 1.349025, 1.390316, 0.4772635, 0.8245914, 1.330624, 1.446722, 
    0.7480887, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.010203, 2.057867, 2.101183, 2.120849, 2.128211, 2.126121, 
    2.115429, 2.097788, 2.083989, 2.075437, 2.067932, 2.065975, 2.064969, 
    2.058714, 2.045662, 2.027366, 2.004973, 1.975934, 1.939549, 1.903115, 
    1.871028, 1.84734, 1.83615, 1.835155, 1.839056, 1.847156, 1.858656, 
    1.871256, 1.881806, 1.891655, 1.900955, 1.908255, 1.912555, 1.915106, 
    1.914957, 1.912659, 1.908562, 1.903415, 1.897018, 1.889773, 1.882827, 
    1.87658, 1.871083, 1.866186, 1.862588, 1.859689, 1.86189, 1.871441,
  1.812109, 1.83066, 1.863909, 1.893757, 1.916603, 1.934899, 1.945294, 
    1.936139, 1.907833, 1.860275, 1.794769, 1.737116, 1.699815, 1.683164, 
    1.688613, 1.712358, 1.746553, 1.788101, 1.833954, 1.868559, 1.880315, 
    1.873871, 1.844326, 1.800985, 1.756345, 1.711704, 1.67001, 1.645709, 
    1.658606, 1.710003, 1.791052, 1.886597, 1.973835, 2.05197, 2.125402, 
    2.180183, 2.204515, 2.191745, 2.143969, 2.091537, 2.05241, 2.037789, 
    2.060423, 2.113008, 2.181596, 2.256486, 2.332618, 2.384768, 2.398069, 
    2.396325, 2.375041, 2.344764, 1.733706, 1.143637, 0.3445563, 1.962798, 
    0.5868017, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.091746, 2.15173, 2.128282, 
    2.116031, 2.126874, 2.161467, 2.227512, 2.303009, 2.373753, 2.406201, 
    2.368261, 2.31038, 2.044141, 0, 1.125019, 2.260881, 2.300816, 2.397252, 
    2.549746, 2.788687, 3.120416, 3.454242, 3.695183, 3.813625, 3.830119, 
    3.802266, 3.740413, 3.638312, 3.470759, 3.240905, 3.021902, 2.840701, 
    2.76715, 2.7521, 2.745401, 2.740102, 2.736503, 2.734755, 2.734155, 
    2.732504, 2.726504, 2.714004, 2.696405, 2.671808, 2.635712, 2.582166, 
    2.494669, 2.37812, 2.236721, 2.085676, 1.945684, 1.808144, 1.670108, 
    1.553121, 1.483237, 1.470407, 1.515334, 1.602514, 1.714594, 1.841725, 
    1.980907, 2.088662, 2.137166, 2.16292, 2.173875, 2.161826, 2.128919, 
    1.327505, 0.09907923, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5594842, 
    1.308809, 0.2258009, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1748105, 0.8753508, 
    1.2275, 0.7680258, 0.5394968, 0, 0.8281872, 0.1183125, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5173978, 
    1.820616, 2.171763, 2.17648, 2.172941, 2.161701, 2.144208, 2.119514, 
    2.104216, 2.097664, 2.094909, 2.098304, 2.102449, 2.100296, 2.087896, 
    2.0657, 2.035211, 1.994575, 1.943093, 1.89181, 1.846775, 1.811188, 
    1.791298, 1.785204, 1.787805, 1.795656, 1.807155, 1.819756, 1.830556, 
    1.840306, 1.849457, 1.856757, 1.860807, 1.862409, 1.86091, 1.856413, 
    1.849567, 1.84132, 1.831425, 1.81958, 1.808335, 1.79849, 1.789145, 
    1.7811, 1.775352, 1.770655, 1.771457, 1.780457,
  1.707629, 1.72513, 1.757483, 1.787435, 1.811386, 1.831836, 1.845433, 
    1.841177, 1.819369, 1.779708, 1.721697, 1.669538, 1.635581, 1.621576, 
    1.629671, 1.65617, 1.691073, 1.731228, 1.773384, 1.802741, 1.809347, 
    1.798102, 1.763359, 1.714362, 1.663616, 1.614617, 1.569867, 1.546666, 
    1.561864, 1.614514, 1.696064, 1.793464, 1.889108, 1.980543, 2.070024, 
    2.142403, 2.184281, 2.191855, 2.170322, 2.148883, 2.138394, 2.147162, 
    2.189732, 2.259708, 2.343036, 2.432663, 2.519207, 2.571058, 2.584256, 
    2.578909, 2.546218, 2.493746, 1.851711, 0.3730824, 1.050988, 0.8033595, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1074988, 1.386099, 2.104771, 2.09786, 
    2.113904, 2.152603, 2.219506, 2.296207, 2.372549, 2.407945, 2.361006, 
    2.28363, 1.127389, 0, 1.10777, 2.233731, 2.288413, 2.394754, 2.551999, 
    2.793602, 3.126821, 3.462292, 3.711034, 3.836575, 3.859167, 3.836259, 
    3.778003, 3.680544, 3.522525, 3.311535, 3.105907, 2.927252, 2.854601, 
    2.839452, 2.831653, 2.824905, 2.819558, 2.816609, 2.81591, 2.81416, 
    2.808509, 2.796359, 2.77766, 2.750912, 2.711665, 2.654569, 2.56542, 
    2.449318, 2.308067, 2.154617, 2.009172, 1.86338, 1.71499, 1.585954, 
    1.502718, 1.472687, 1.494563, 1.554893, 1.640324, 1.741153, 1.853532, 
    1.949853, 1.996404, 2.019156, 2.027008, 2.015156, 1.988399, 1.945181, 
    0.922317, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3178357, 0.5297261, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.3504, 1.168, 0.7899675, 0.06279535, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.7731897, 2.139616, 2.244665, 2.22943, 2.210338, 2.184251, 
    2.152411, 2.136461, 2.132756, 2.137045, 2.14484, 2.153435, 2.154681, 
    2.141233, 2.114539, 2.075198, 2.020815, 1.953134, 1.886353, 1.827768, 
    1.780382, 1.751992, 1.741246, 1.742548, 1.749798, 1.761548, 1.773898, 
    1.785796, 1.797341, 1.808885, 1.81818, 1.822778, 1.822831, 1.819284, 
    1.811638, 1.801542, 1.7883, 1.770863, 1.750776, 1.732088, 1.715848, 
    1.701254, 1.689209, 1.680364, 1.672918, 1.671521, 1.679024,
  1.596634, 1.612736, 1.642539, 1.670641, 1.693892, 1.714343, 1.729691, 
    1.730535, 1.715876, 1.685465, 1.638001, 1.594341, 1.566832, 1.558224, 
    1.57012, 1.598217, 1.63082, 1.666575, 1.703282, 1.72639, 1.728096, 
    1.712301, 1.672457, 1.619612, 1.566614, 1.516765, 1.472314, 1.449315, 
    1.464367, 1.515122, 1.593629, 1.688834, 1.788381, 1.891419, 1.9967, 
    2.087578, 2.149302, 2.180572, 2.191079, 2.206531, 2.232383, 2.271892, 
    2.341907, 2.432582, 2.52603, 2.627526, 2.718221, 2.771219, 2.785767, 
    2.778269, 2.737329, 2.662654, 1.929673, 1.261006, 1.067263, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.3159122, 1.050284, 1.049282, 1.058504, 
    1.078252, 1.111181, 1.953823, 2.368012, 2.404164, 2.34628, 2.250948, 
    0.2227552, 0.318428, 1.61849, 2.202493, 2.274321, 2.390606, 2.549507, 
    2.779481, 3.081738, 3.381801, 3.617192, 3.741953, 3.77334, 3.759227, 
    3.709662, 3.625439, 3.493796, 3.325583, 3.156724, 3.003617, 2.93845, 
    2.923001, 2.913403, 2.904157, 2.89616, 2.891812, 2.890414, 2.889362, 
    2.884511, 2.87271, 2.852912, 2.823316, 2.780173, 2.719627, 2.630426, 
    2.51742, 2.377669, 2.225465, 2.077915, 1.927567, 1.772773, 1.634232, 
    1.539444, 1.492964, 1.491893, 1.526723, 1.586803, 1.663681, 1.752656, 
    1.832325, 1.878625, 1.900774, 1.909171, 1.901113, 1.881852, 1.853834, 
    1.717685, 0.8703897, 0.4299576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0.05716141, 0.7505299, 0.8767062, 0.1756237, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 2.111345, 2.327787, 2.303643, 2.278799, 2.242859, 
    2.202819, 2.183427, 2.178036, 2.187735, 2.199281, 2.209931, 2.209739, 
    2.192596, 2.160702, 2.11396, 2.049367, 1.970176, 1.887395, 1.815511, 
    1.757273, 1.720832, 1.706636, 1.706537, 1.713438, 1.725687, 1.74048, 
    1.755525, 1.77162, 1.787814, 1.80106, 1.808255, 1.809151, 1.803204, 
    1.79126, 1.775021, 1.752834, 1.723848, 1.691913, 1.661579, 1.635442, 
    1.612506, 1.595163, 1.582119, 1.571523, 1.567576, 1.572778,
  1.48963, 1.503982, 1.531036, 1.556839, 1.578892, 1.598842, 1.615391, 
    1.620237, 1.611631, 1.59007, 1.553757, 1.518796, 1.498338, 1.495032, 
    1.510976, 1.540576, 1.571826, 1.60413, 1.634837, 1.652493, 1.650346, 
    1.631049, 1.588401, 1.532802, 1.478853, 1.428403, 1.384153, 1.360005, 
    1.372111, 1.416771, 1.487283, 1.577342, 1.679637, 1.791379, 1.911012, 
    2.021037, 2.104059, 2.162922, 2.210822, 2.268366, 2.333617, 2.406924, 
    2.508133, 2.620503, 2.716748, 2.822791, 2.918084, 2.974429, 2.991973, 
    2.983623, 2.93553, 2.410093, 0.6716878, 1.820589, 0.2600842, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8084314, 1.184527, 1.202171, 
    1.16994, 1.11841, 0.1105779, 0.6298715, 2.114566, 2.164201, 2.250987, 
    2.37628, 2.528795, 2.733134, 2.988394, 3.235412, 3.431268, 3.547279, 
    3.591411, 3.591688, 3.55946, 3.50027, 3.410062, 3.294693, 3.175979, 
    3.070917, 3.020697, 3.006045, 2.994396, 2.982749, 2.972202, 2.96765, 
    2.971385, 2.976173, 2.974267, 2.962018, 2.940122, 2.90563, 2.856738, 
    2.792144, 2.700899, 2.586908, 2.446012, 2.296061, 2.149408, 1.998208, 
    1.840111, 1.695118, 1.59043, 1.52775, 1.502331, 1.511215, 1.547544, 
    1.60242, 1.671194, 1.734666, 1.777375, 1.800823, 1.812817, 1.811359, 
    1.801346, 1.786432, 1.764405, 1.740711, 0.8647431, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2624372, 2.622277, 1.308695, 
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    0.05744435, 0.5777518, 0.2927356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8696536, 
    2.313998, 2.410459, 2.383161, 2.358305, 2.321895, 2.27615, 2.250158, 
    2.238514, 2.245672, 2.261116, 2.274409, 2.267069, 2.237942, 2.193916, 
    2.139976, 2.068536, 1.982794, 1.889799, 1.807758, 1.741466, 1.69952, 
    1.682174, 1.681025, 1.688274, 1.702919, 1.723012, 1.742257, 1.762902, 
    1.783396, 1.801588, 1.812733, 1.816879, 1.80983, 1.79099, 1.765253, 
    1.732167, 1.690334, 1.645252, 1.602317, 1.564283, 1.529748, 1.50461, 
    1.487615, 1.474118, 1.467621, 1.470524,
  1.390126, 1.402379, 1.426134, 1.449885, 1.470387, 1.489838, 1.507486, 
    1.515283, 1.511377, 1.497318, 1.471155, 1.444944, 1.430836, 1.43213, 
    1.451228, 1.480928, 1.51108, 1.540883, 1.567287, 1.580243, 1.575596, 
    1.555196, 1.511896, 1.455945, 1.402094, 1.351743, 1.306646, 1.280599, 
    1.287357, 1.322821, 1.382835, 1.465795, 1.570643, 1.688436, 1.820471, 
    1.949946, 2.056563, 2.146371, 2.234168, 2.336209, 2.440358, 2.548362, 
    2.682868, 2.811356, 2.913496, 3.026136, 3.127577, 3.189917, 3.214205, 
    3.208399, 3.157299, 2.145314, 0, 0.9348446, 0.1335492, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6103787, 
    2.052844, 2.110288, 2.204783, 2.332334, 2.472601, 2.647886, 2.857543, 
    3.051861, 3.205064, 3.309583, 3.367366, 3.389433, 3.382246, 3.3565, 
    3.311692, 3.250123, 3.182505, 3.127139, 3.100747, 3.08989, 3.07739, 
    3.064192, 3.052691, 3.055075, 3.071108, 3.085745, 3.090334, 3.078382, 
    3.052339, 3.011248, 2.955159, 2.882674, 2.782142, 2.659555, 2.513713, 
    2.36222, 2.216171, 2.065918, 1.907017, 1.758769, 1.645679, 1.5669, 
    1.517779, 1.501659, 1.516037, 1.550712, 1.600487, 1.649303, 1.685859, 
    1.711556, 1.727951, 1.73389, 1.733827, 1.73096, 1.729733, 1.736649, 
    0.8702428, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.834079, 2.886147, 5.254658, 3.912613, 0.7752621, 0, 0, 0, 1.561795, 
    2.150597, 2.028119, 1.893523, 1.82211, 1.758428, 1.195607, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8741358, 2.379947, 
    2.478865, 2.451413, 2.43026, 2.399206, 2.35779, 1.742432, 1.969098, 
    2.331057, 2.350054, 2.366602, 2.350964, 2.304735, 2.242109, 2.171692, 
    2.082029, 1.986946, 1.889701, 1.803004, 1.733454, 1.688558, 1.66851, 
    1.66701, 1.676007, 1.6954, 1.720693, 1.744487, 1.769681, 1.795921, 
    1.820413, 1.836705, 1.84425, 1.836202, 1.808414, 1.771979, 1.727146, 
    1.670816, 1.610787, 1.553807, 1.501727, 1.454445, 1.420406, 1.399362, 
    1.383216, 1.374119, 1.374572,
  1.26521, 1.277806, 1.303246, 1.329687, 1.353177, 1.376665, 1.400151, 
    1.415584, 1.419369, 1.414753, 1.400633, 1.386611, 1.38329, 1.394669, 
    1.419955, 1.451998, 1.481996, 1.509898, 1.533003, 1.540462, 1.531271, 
    1.506333, 1.457997, 1.398956, 1.343561, 1.291667, 1.243024, 1.211286, 
    1.209352, 1.23297, 1.280539, 1.356098, 1.463145, 1.586985, 1.730519, 
    1.879941, 2.012804, 2.135159, 2.263852, 2.409893, 2.552093, 2.69325, 
    2.859459, 2.998443, 3.108482, 3.228672, 3.339057, 3.411091, 3.448169, 
    3.452697, 3.227722, 1.111121, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3005171, 1.497919, 2.033667, 
    2.127176, 2.249688, 2.376657, 2.527088, 2.697136, 2.844794, 2.963582, 
    3.060632, 3.13301, 3.181473, 3.204229, 3.213332, 3.211525, 3.199064, 
    3.180999, 3.170645, 3.172062, 3.169498, 3.158643, 3.144992, 3.13469, 
    3.149872, 3.177857, 3.201297, 3.211093, 3.199345, 3.167603, 3.118366, 
    3.05298, 2.967799, 2.852919, 2.720183, 2.568341, 2.413145, 2.265947, 
    2.117694, 1.961388, 1.813635, 1.695688, 1.603303, 1.534676, 1.497202, 
    1.492027, 1.508899, 1.541371, 1.578037, 1.608597, 1.634599, 1.654246, 
    1.667338, 1.676327, 1.684614, 1.698551, 1.723636, 1.304072, 0.2617843, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.323382, 4.491376, 
    5.285726, 5.270498, 5.220217, 1.557592, 0.2444816, 2.42851, 2.354812, 
    3.825454, 4.309558, 4.076324, 3.836143, 3.704511, 3.578806, 2.952084, 
    0.8574058, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    2.311728, 2.541218, 2.515416, 2.496962, 2.468708, 2.436949, 1.214447, 
    0.8342184, 2.307663, 2.452024, 2.469623, 2.445932, 2.38525, 2.307118, 
    2.217436, 2.107452, 2.000567, 1.896331, 1.806237, 1.736786, 1.689589, 
    1.667193, 1.665992, 1.678785, 1.703378, 1.733871, 1.762714, 1.793655, 
    1.827344, 1.859183, 1.882173, 1.893269, 1.882673, 1.845037, 1.795956, 
    1.734285, 1.657271, 1.575558, 1.497843, 1.425727, 1.359311, 1.311237, 
    1.281954, 1.260016, 1.248369, 1.248816,
  1.114708, 1.129755, 1.161248, 1.194489, 1.225428, 1.257416, 1.291401, 
    1.320231, 1.33661, 1.344592, 1.346168, 1.349292, 1.362517, 1.388697, 
    1.42513, 1.46337, 1.495217, 1.521818, 1.540874, 1.542133, 1.524996, 
    1.491058, 1.43362, 1.36758, 1.30704, 1.249999, 1.194311, 1.152577, 
    1.138844, 1.148914, 1.182235, 1.253038, 1.363382, 1.494372, 1.650952, 
    1.821371, 1.982031, 2.137434, 2.306828, 2.493424, 2.667836, 2.837, 
    3.024233, 3.17387, 3.292507, 3.419548, 3.541132, 3.627458, 3.67919, 
    3.688598, 1.784872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4893828, 1.663629, 2.029147, 2.143258, 
    2.256178, 2.385905, 2.524095, 2.63828, 2.734305, 2.832052, 2.921377, 
    2.994795, 3.048703, 3.092104, 3.1301, 3.159745, 3.182497, 3.20526, 
    3.227085, 3.236118, 3.231405, 3.219351, 3.210899, 3.235939, 3.273378, 
    3.302772, 3.313423, 3.29853, 3.259891, 3.201304, 3.123973, 3.025541, 
    2.897457, 2.754323, 2.596133, 2.438535, 2.291483, 2.146527, 1.995817, 
    1.852408, 1.733956, 1.633712, 1.552475, 1.499441, 1.479258, 1.481825, 
    1.500492, 1.526206, 1.551062, 1.575215, 1.596364, 1.613661, 1.629054, 
    1.645145, 1.667934, 1.700777, 1.729523, 1.135964, 0.08760107, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.845905, 2.684172, 2.718276, 4.063744, 
    5.397699, 5.398607, 5.360947, 5.278121, 3.367416, 2.754666, 4.875286, 
    4.721503, 4.516618, 4.301614, 4.091085, 3.899183, 3.780479, 3.65982, 
    3.542158, 1.73695, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 10.49931, 21.1, 21.1, 6.33, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4.533459, 6.730647, 10.51212, 10.71783, 
    10.86965, 10.79295, 10.70403, 10.58818, 10.37194, 10.03398, 9.587407, 
    9.050865, 8.392896, 7.683718, 7.02024, 6.398323, 5.816683, 5.454803, 
    5.336416, 5.359824, 5.530284, 5.793321, 6.074878, 6.374325, 6.713227, 
    7.047843, 7.340898, 7.62873, 7.94169, 8.275615, 8.608418, 8.959426, 
    9.32096, 9.626098, 9.851987, 10.02114, 10.10852, 10.1419, 7.642689, 
    1.542282, 0, 0, 0, 0, 0, 0, 1.157755, 3.750881, 4.203801, 3.970924, 
    3.824407, 3.717056, 2.003228, 1.77761, 1.714392, 0.5038061, 1.340799, 
    1.397357, 1.331455, 1.294429, 0.2564506, 0.89375, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.791724, 1.985081, 3.667487, 3.700408, 3.745589, 3.818125, 3.919253, 
    4.049537, 4.186145, 4.410958, 4.719058, 3.809533, 0.8086777, 0, 1.064455, 
    5.457205, 7.515354, 7.586933, 7.55872, 7.467987, 7.354496, 7.210501, 
    7.049901, 6.902694, 6.770878, 6.647162, 6.529788, 6.41305, 6.2858, 
    6.12813, 5.944043,
  5.427797, 5.30735, 5.061847, 4.789623, 4.536899, 4.296083, 4.058922, 
    3.856721, 3.699, 3.567897, 3.458261, 3.380243, 3.331142, 3.297446, 
    3.267554, 3.239321, 3.213177, 3.188781, 3.16218, 3.138761, 3.118891, 
    3.098669, 3.081297, 3.064723, 3.050801, 3.03793, 3.031807, 3.029996, 
    3.034015, 3.042586, 3.054852, 3.068123, 3.082341, 3.100064, 3.122035, 
    3.13986, 3.151677, 3.159981, 1.747457, 1.11571, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 3.145277, 10.48426, 10.48426, 20.03843, 21.1, 21.1, 6.33, 0, 0, 
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    10.50469, 10.69004, 10.85712, 11.02521, 11.02295, 10.99643, 10.93913, 
    10.74483, 10.37688, 9.903416, 9.348372, 8.68353, 7.98742, 7.36439, 
    6.814408, 6.388933, 6.217992, 6.266109, 6.439583, 6.7527, 7.135188, 
    7.510316, 7.888992, 8.276551, 8.57208, 8.787749, 8.993967, 9.216511, 
    9.4583, 9.703632, 9.967507, 10.2349, 10.44653, 10.59671, 10.70239, 
    10.72083, 10.69685, 10.63512, 6.903371, 5.192192, 3.526536, 0, 0, 0, 
    0.7530777, 3.590592, 4.523551, 4.282918, 4.04507, 3.866086, 3.738164, 
    3.661422, 3.578886, 3.450245, 1.0137, 1.498222, 2.803749, 2.668317, 
    2.594115, 1.535358, 2.168628, 1.247676, 0.372365, 0, 0, 0, 0, 0, 0, 0, 0, 
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    3.595858, 3.607985, 3.626166, 3.650895, 3.685428, 3.745221, 3.834118, 
    3.950569, 4.063556, 4.264937, 4.551818, 2.373057, 0, 0, 0, 1.843416, 
    6.304029, 7.425761, 7.399606, 7.299794, 7.175847, 7.011715, 6.830641, 
    6.66526, 6.517375, 6.377341, 6.245555, 6.122233, 5.996076, 5.846249, 
    5.677044,
  5.160402, 5.056744, 4.845777, 4.613745, 4.400469, 4.196302, 3.994886, 
    3.825082, 3.690307, 3.57655, 3.479009, 3.407535, 3.360174, 3.325079, 
    3.291395, 2.774013, 1.622931, 1.61035, 3.017516, 3.15623, 3.141964, 
    3.130133, 3.120953, 3.11322, 3.107342, 3.102163, 3.101253, 3.101452, 
    3.102551, 3.105764, 3.111738, 3.117664, 3.125387, 3.13591, 3.150337, 
    3.163342, 3.172442, 3.18049, 0.3182439, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    9.433578, 13.66723, 21.1, 21.1, 21.1, 21.1, 21.1, 6.33, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.406393, 7.291309, 10.0369, 10.29705, 10.57309, 
    10.78213, 10.96053, 11.13628, 11.22769, 11.27231, 11.26386, 11.07577, 
    10.6787, 10.1766, 9.614883, 8.98326, 8.36736, 7.85126, 7.437974, 
    7.225249, 7.272352, 7.493338, 7.82009, 8.254704, 8.707273, 9.113748, 
    9.508371, 9.889355, 10.10965, 10.23729, 10.35583, 10.48339, 10.62986, 
    10.7845, 10.96083, 11.13449, 11.25622, 11.3361, 11.38408, 11.34262, 
    11.26449, 11.15756, 10.98274, 10.12685, 3.571606, 0, 0, 0, 1.574765, 
    5.050807, 4.688033, 4.423476, 4.169534, 3.947144, 3.787023, 3.686268, 
    3.592724, 3.454726, 1.0137, 0.1427173, 1.406943, 1.337345, 2.186188, 
    2.556621, 2.533963, 2.502306, 0.7468665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    3.587792, 3.597366, 3.612845, 3.637425, 3.683668, 3.757517, 3.856526, 
    3.938438, 4.106569, 4.359853, 3.448922, 0.7080399, 0, 0, 0, 2.576812, 
    6.897098, 7.243631, 7.143694, 7.018202, 6.827601, 6.617213, 6.425015, 
    6.252755, 6.089983, 5.938495, 5.804286, 5.675313, 5.529862, 5.378107,
  4.918685, 4.830443, 4.652592, 4.461106, 4.288763, 4.12829, 3.971112, 
    3.83261, 3.718997, 3.620453, 3.532879, 3.465427, 3.416449, 3.3731, 
    3.321901, 2.779636, 1.611847, 0.4816916, 1.439356, 2.060235, 3.14899, 
    3.14199, 3.138087, 3.136181, 3.135477, 3.135472, 3.136469, 3.137763, 
    3.138963, 3.140163, 3.141916, 3.143568, 3.146973, 3.153178, 3.16313, 
    3.174734, 2.391593, 1.605666, 0.1606723, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    10.47912, 10.47912, 10.47911, 20.03791, 21.1, 21.1, 21.1, 21.1, 21.1, 
    21.1, 13.66538, 1.047912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.738576, 
    9.284975, 9.637552, 10.00301, 10.38025, 10.69372, 10.95329, 11.20701, 
    11.41473, 11.54415, 11.58199, 11.41927, 11.00966, 10.49331, 9.95407, 
    9.392031, 8.874434, 8.466669, 8.180319, 8.15079, 8.409941, 8.794082, 
    9.250479, 9.760571, 10.25155, 10.67497, 11.07531, 11.4447, 11.60673, 
    11.65784, 11.70055, 11.74653, 11.80747, 11.87903, 11.97055, 12.05102, 
    12.08322, 12.08869, 12.07312, 11.96567, 11.82889, 11.66733, 11.42951, 
    9.957783, 0, 0, 0, 0, 1.687592, 5.412062, 4.996283, 4.664332, 4.349873, 
    4.077493, 3.876137, 3.739429, 3.621783, 3.470171, 1.016978, 0, 0, 0, 
    0.897792, 2.413295, 2.518538, 2.48903, 1.594846, 1.082378, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5403061, 1.80102, 
    3.045259, 3.579661, 3.583524, 3.591792, 3.607769, 3.641955, 3.701053, 
    3.781963, 3.839412, 3.9667, 4.169749, 4.479242, 1.390287, 0, 0, 0, 0, 
    3.60602, 7.095201, 6.991313, 6.862925, 6.654342, 6.423214, 6.21139, 
    6.021614, 5.843534, 5.681541, 5.537464, 5.398306, 5.251068, 5.111097,
  4.733083, 4.659177, 4.514599, 4.360927, 4.227654, 4.108048, 4.16493, 
    4.287153, 4.421577, 4.452859, 4.417717, 4.417992, 4.445332, 4.497011, 
    4.262244, 1.649539, 1.634081, 0.4883363, 0, 0.4764036, 1.58625, 1.582725, 
    2.984047, 3.138504, 3.138752, 3.1397, 3.14105, 3.142952, 3.1445, 3.1457, 
    3.146553, 3.147804, 3.150255, 3.155507, 1.750802, 1.599643, 0.8010548, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 10.49107, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 
    21.1, 21.1, 21.1, 21.1, 21.1, 2.11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.40103, 5.382896, 8.747945, 9.119648, 9.533915, 9.975932, 10.37945, 
    10.73706, 11.11033, 11.44742, 11.68913, 11.81572, 11.72882, 11.35979, 
    10.88326, 10.41645, 9.953457, 9.542823, 9.237784, 9.061879, 9.169869, 
    9.591559, 10.10916, 10.63718, 11.16904, 11.66523, 12.08762, 12.48202, 
    12.84021, 12.97481, 12.98085, 12.98128, 12.98841, 13.00388, 13.02462, 
    13.0559, 13.06492, 13.01289, 12.92954, 12.8266, 12.62272, 12.39498, 
    12.15409, 11.83129, 10.79141, 3.820683, 0, 0, 3.345673, 4.146685, 
    5.742676, 5.289115, 4.906163, 4.560978, 4.248829, 2.607454, 1.899421, 
    2.381991, 3.551511, 2.224085, 0.1687136, 0, 0, 0, 2.2792, 2.5128, 2.4845, 
    2.4569, 2.1794, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    3.66241, 3.725174, 3.769367, 3.848957, 3.980549, 4.235681, 2.90202, 
    2.228331, 0, 0, 0, 0.6945642, 6.922385, 6.819863, 6.690755, 6.478364, 
    6.242077, 6.022902, 5.826126, 5.642244, 5.475471, 5.321268, 5.174378, 
    5.029549, 4.900643,
  4.609787, 4.550936, 4.456007, 4.551067, 4.657444, 4.778843, 5.254073, 
    5.695459, 6.128692, 6.349769, 6.450139, 6.56396, 6.499025, 6.457022, 
    2.976316, 0, 0, 0, 0, 0, 0, 0, 2.824956, 3.137504, 3.138004, 3.139204, 
    3.140504, 3.142104, 3.144004, 3.145204, 3.146001, 3.146804, 2.367222, 
    1.588704, 0.1589459, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7.331371, 20.03734, 
    21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 2.11, 
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    7.960654, 8.256805, 8.577664, 8.995128, 9.462382, 9.908418, 10.32394, 
    10.78714, 11.24226, 11.61666, 11.8922, 11.95969, 11.68073, 11.27545, 
    10.91898, 10.5919, 10.30515, 10.10181, 10.02382, 10.23792, 10.77303, 
    11.37906, 11.94631, 12.46683, 12.93757, 13.33451, 13.70101, 14.03337, 
    14.13733, 14.10839, 14.08151, 14.06911, 14.0578, 14.04688, 14.04365, 
    14.00317, 13.8811, 13.70596, 13.49417, 13.17726, 12.84588, 12.52057, 
    12.12102, 11.53511, 9.256677, 4.909338, 4.419769, 7.28798, 6.734911, 
    6.040951, 5.552856, 5.132772, 4.851637, 3.409844, 0.6374456, 0, 
    0.5575194, 1.824151, 1.734908, 0.1711338, 0, 0, 0, 1.147876, 1.637205, 
    2.4845, 2.4569, 2.298528, 1.18801, 0.5901828, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1801991, 1.802143, 1.80325, 
    1.806826, 1.816647, 1.83649, 1.863434, 1.882623, 1.908912, 1.953937, 
    2.065642, 2.251734, 2.260296, 0, 0, 0, 0.3451383, 4.42197, 6.641905, 
    6.518373, 6.305864, 6.06707, 5.840894, 5.636425, 5.446797, 5.274211, 
    5.113956, 4.970818, 4.840989, 4.73637,
  4.509957, 4.463367, 4.412374, 4.776164, 5.233109, 5.837474, 6.645802, 
    7.215765, 7.766263, 8.111666, 7.898816, 3.935016, 3.813857, 3.69164, 
    0.3662472, 0, 0, 0, 0, 0, 0, 0, 1.422722, 1.580354, 1.580606, 1.58121, 
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    21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 2.11, 0, 0, 0, 0, 0, 7.851349, 
    14.41845, 12.19432, 8.993952, 4.623789, 4.186618, 7.465405, 7.537684, 
    7.764096, 8.025924, 8.408873, 8.863218, 9.300356, 9.716829, 10.21349, 
    10.7522, 11.25308, 11.71029, 11.41261, 5.959451, 5.771289, 5.621214, 
    10.61823, 11.07222, 10.99408, 11.01687, 11.31976, 11.93213, 12.587, 
    13.17827, 13.68183, 14.09853, 14.44254, 14.7533, 15.04793, 15.11682, 
    15.05485, 15.00754, 14.9858, 14.96374, 14.93925, 14.92179, 14.82269, 
    14.60215, 14.3252, 13.98396, 13.52969, 13.08531, 12.67481, 12.20543, 
    11.54861, 10.7886, 9.863705, 8.923255, 7.910804, 6.979438, 6.287729, 
    5.783341, 5.37632, 5.246182, 2.595224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1228148, 1.602995, 2.468621, 1.601861, 1.218842, 1.205744, 0.5989929, 
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    0.996424, 3.300255, 3.240305, 3.133857, 3.858167, 5.66615, 5.453728, 
    5.258348, 5.082508, 4.924695, 4.790319, 4.677969, 4.598056,
  4.396417, 4.359978, 4.334276, 4.771966, 5.403591, 6.458611, 7.648302, 
    8.365695, 9.050556, 9.53205, 8.911112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    10.18534, 9.211347, 8.287436, 7.504234, 7.092997, 7.263767, 7.469472, 
    7.787672, 8.185168, 8.574255, 8.955553, 9.446041, 10.02085, 10.60569, 
    7.369723, 5.42109, 0, 0, 0, 5.794658, 11.72462, 11.77468, 11.91914, 
    12.3383, 13.01746, 13.70514, 14.29915, 14.783, 15.1462, 15.42936, 
    15.67405, 15.90423, 15.90706, 15.78902, 15.70135, 15.65018, 15.59535, 
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    13.06702, 12.57177, 12.04349, 11.35341, 10.60186, 9.744976, 8.888132, 
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    8.047899, 8.117706, 7.41291, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.036537, 
    10.36537, 15.73269, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 
    21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 11.43883, 10.36537, 
    10.36537, 10.36537, 10.36051, 10.35456, 10.34891, 10.34223, 11.397, 
    21.02987, 20.9979, 20.96098, 20.90801, 20.84311, 20.75299, 20.63801, 
    20.46958, 20.25387, 20.02447, 19.76395, 19.48439, 19.21362, 18.99503, 
    18.81635, 18.67687, 18.6121, 18.67305, 18.945, 19.73899, 20.94045, 
    22.16384, 23.3415, 24.38339, 25.57696,
  24.18304, 24.58138, 25.22969, 25.59669, 25.69945, 25.72855, 25.77336, 
    25.8772, 25.88724, 25.89423, 25.91152, 25.9475, 26.00474, 26.07677, 
    26.17138, 26.28924, 26.42002, 26.57046, 26.74421, 26.90705, 27.03585, 
    27.14511, 27.29682, 27.45093, 27.60641, 27.77767, 27.84533, 27.88565, 
    27.8258, 27.39729, 26.51698, 25.50846, 24.56382, 23.57642, 22.58089, 
    21.71067, 20.90626, 20.24018, 19.97834, 20.06797, 20.20886, 20.39027, 
    20.57463, 20.65291, 20.72031, 20.79046, 20.87219, 20.96564, 21.05978, 
    21.1, 12.50049, 21.1, 21.1, 13.85458, 10.74939, 13.85458, 21.1, 21.1, 
    21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 21.1, 11.42555, 10.35061, 
    10.35061, 10.35061, 10.35061, 10.35061, 5.175304, 0, 0, 0, 0, 0, 0, 0, 
    5.374696, 17.99482, 21.1, 21.1, 21.1, 21.1, 21.1, 14.77, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17.5462, 19.53239, 19.5641, 
    19.59297, 19.59678, 19.55125, 19.56288, 19.64994, 19.87144, 20.19804, 
    20.60485, 21.09393, 21.7523, 22.56828, 23.43018, 24.31551, 25.29105, 
    26.33063, 27.34433, 28.33107, 29.46242, 30.64813, 31.92834, 32.98977, 
    34.36036, 35.81808, 37.28462, 25.4032, 20.87527, 21.99978, 22.90385, 
    23.62961, 26.67158, 47.83066, 48.50502, 48.80212, 48.82117, 48.63897, 
    48.37569, 48.062, 47.70132, 47.32343, 46.96028, 46.58556, 46.29268, 
    45.92033, 45.24225, 44.50681, 43.60227, 42.29133, 40.96299, 39.54961, 
    37.14292, 34.05786, 31.25598, 28.53913, 25.52311, 22.52529, 20.0111, 
    17.62243, 15.51969, 14.83117, 14.62014, 14.59247, 14.73073, 15.01294, 
    15.25204, 15.38067, 8.967355, 15.29912, 15.19524, 15.09198, 14.98798, 
    14.94237, 14.79763, 14.69036, 14.6053, 14.49869, 14.39586, 14.37713, 
    14.35812, 14.33986, 14.32489, 14.40769, 14.62535, 14.90174, 15.27429, 
    15.58233, 15.79465, 15.84287, 15.84167, 15.93354, 15.27802, 7.715274, 
    3.893006, 0, 0, 0, 4.491477, 9.127862, 9.351748, 9.450007, 9.470806, 
    9.485425, 10.55487, 20.22143, 20.23026, 20.26037, 20.29398, 20.32017, 
    20.33818, 20.35034, 20.35314, 20.36182, 20.36982, 20.37781, 20.38625, 
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    20.66914, 20.68351, 20.69502, 20.68572, 20.66368, 20.62497, 20.57442, 
    20.4911, 20.37468, 20.19992, 19.98615, 19.75793, 19.49646, 19.20906, 
    18.92693, 18.69421, 18.49967, 18.34905, 18.2743, 18.31303, 18.4982, 
    18.97561, 19.74817, 20.58142, 21.40102, 22.18549, 23.05687,
  21.56599, 21.84789, 22.32905, 22.71152, 22.93903, 23.10487, 23.26583, 
    23.39009, 23.4925, 23.58033, 23.66807, 23.75529, 23.84493, 23.93819, 
    24.0459, 24.16595, 24.29037, 24.42984, 24.5856, 24.72473, 24.82882, 
    24.91051, 25.02792, 25.1417, 25.25533, 25.38263, 25.39887, 25.37742, 
    25.26261, 24.81952, 24.04436, 23.17165, 22.35708, 21.50397, 20.65752, 
    19.94209, 19.289, 18.76997, 18.6054, 18.68007, 18.8363, 19.07514, 
    19.31846, 19.45865, 19.58723, 19.71628, 19.85643, 20.04717, 20.31229, 
    20.46956, 20.5561, 20.65253, 20.74714, 13.30482, 2.035588, 13.51026, 
    21.1, 21.1, 21.1, 21.1, 21.1, 13.8666, 10.76657, 10.76657, 10.76657, 
    10.76657, 10.76657, 10.76657, 10.76657, 10.76657, 10.76657, 10.76657, 
    5.383285, 0, 0, 0, 0, 0, 0, 0, 0, 7.536599, 10.76657, 10.76657, 15.93329, 
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    0, 0, 16.35365, 18.45234, 18.6628, 18.82486, 18.93752, 18.95884, 
    19.02122, 19.14357, 19.38773, 19.72939, 20.1481, 20.6487, 21.31798, 
    22.14302, 23.01327, 23.90768, 24.89565, 25.95093, 26.98258, 27.98832, 
    29.13686, 30.34193, 31.64239, 32.72413, 19.15162, 18.30597, 19.06295, 
    5.8265, 0, 0, 0, 0, 4.492227, 45.0227, 45.40364, 45.62451, 45.73411, 
    45.76992, 45.64961, 45.47961, 45.27492, 45.05356, 44.83495, 44.60377, 
    44.32473, 43.96187, 43.41579, 42.80987, 42.04614, 40.87755, 39.68214, 
    38.35643, 35.96833, 33.01259, 30.32231, 27.62179, 24.62062, 21.63708, 
    19.13931, 16.77624, 14.65825, 13.89457, 13.65368, 13.62776, 13.79168, 
    14.12181, 14.41432, 14.60191, 14.64322, 14.64284, 14.59761, 14.5583, 
    14.52481, 14.5184, 14.41024, 14.31961, 14.2358, 14.13092, 14.02662, 
    13.99697, 13.96538, 13.93194, 13.9019, 13.95842, 14.12576, 14.33513, 
    14.61833, 14.84787, 14.98605, 14.9505, 14.86495, 14.86567, 14.25694, 
    8.02533, 4.049455, 0, 0, 0, 4.671977, 15.33214, 18.22194, 18.44267, 
    18.51705, 18.57643, 18.58359, 18.58356, 18.62423, 18.71516, 18.81177, 
    18.88378, 18.93165, 18.96453, 18.97214, 18.99513, 19.01672, 19.03042, 
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    19.65005, 19.78145, 19.89258, 20.00043, 20.06051, 20.0896, 20.10264, 
    20.09808, 20.04632, 19.95017, 19.78861, 19.58566, 19.36615, 19.11133, 
    18.82976, 18.5523, 18.32146, 18.12671, 17.97371, 17.89371, 17.90507, 
    18.01932, 18.27754, 18.69608, 19.18106, 19.67918, 20.24502, 20.817,
  19.28912, 19.46038, 19.76727, 20.05348, 20.29392, 20.50465, 20.71839, 
    20.89883, 21.04767, 21.17791, 21.30485, 21.42097, 21.52684, 21.62581, 
    21.73052, 21.83774, 21.94524, 22.06505, 22.19388, 22.30041, 22.37148, 
    22.4205, 22.5034, 22.58046, 22.6585, 22.74743, 22.71812, 22.63896, 
    22.47091, 22.0259, 21.37735, 20.66093, 19.9919, 19.28645, 18.60444, 
    18.05963, 17.57855, 17.23117, 17.17825, 17.24565, 17.3886, 17.6227, 
    17.86551, 18.00511, 18.13248, 18.2505, 18.35831, 18.54349, 18.86705, 
    19.08423, 19.22862, 19.39966, 19.57717, 19.75604, 11.46331, 20.17847, 
    20.28863, 20.28516, 20.28545, 20.29396, 20.29181, 12.73341, 9.480743, 
    9.458162, 9.427272, 9.394328, 9.36637, 6.542466, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 10.49672, 21.06804, 20.02132, 10.28048, 10.14626, 
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    14.91907, 17.0754, 17.46475, 17.76886, 17.99334, 18.07496, 18.18059, 
    18.33466, 18.59892, 18.95088, 19.37525, 19.87913, 20.54806, 21.36979, 
    22.23668, 23.12838, 24.11695, 25.1779, 26.21763, 27.22804, 28.37133, 
    29.57045, 30.86561, 21.10871, 1.670066, 0, 0, 0, 0, 0, 0, 0, 4.100477, 
    41.08823, 41.40283, 41.66465, 41.89465, 42.0172, 41.88805, 41.70884, 
    41.49365, 41.26183, 41.03329, 40.7911, 40.49838, 40.16187, 39.77035, 
    39.32, 38.74126, 37.90821, 37.03791, 35.99119, 33.88917, 31.25727, 
    28.82043, 26.29388, 23.50705, 20.73145, 18.31516, 16.03744, 13.95751, 
    13.16492, 12.87846, 12.80762, 12.91773, 13.21195, 13.49131, 13.70018, 
    13.77563, 13.80796, 13.78975, 13.77891, 13.77736, 13.8159, 13.77238, 
    13.72745, 13.67739, 13.60713, 13.53201, 13.52655, 13.52175, 13.51383, 
    13.49123, 13.52245, 13.64444, 13.79668, 14.0088, 14.1757, 14.25499, 
    12.15412, 7.378237, 7.357839, 6.640541, 0, 0, 4.751003, 6.92332, 
    7.113356, 7.327978, 13.63618, 16.62219, 16.88785, 17.02659, 17.14577, 
    17.19504, 17.23188, 17.30425, 17.42169, 17.54442, 17.62829, 17.67758, 
    17.70592, 17.7102, 17.72413, 17.7374, 17.74278, 17.7437, 17.74454, 
    17.74571, 17.74968, 17.73128, 17.71881, 17.71046, 17.72065, 17.73148, 
    17.77242, 17.86429, 17.9631, 18.07545, 18.26024, 18.45826, 18.65135, 
    18.83278, 19.00611, 19.1234, 19.19981, 19.26304, 19.30511, 19.28631, 
    19.2182, 19.08378, 18.90442, 18.70386, 18.46587, 18.20156, 17.93929, 
    17.72021, 17.53511, 17.39022, 17.31447, 17.31117, 17.38096, 17.53489, 
    17.73622, 17.97895, 18.23618, 18.54121, 18.85758,
  17.38078, 17.46529, 17.62362, 17.78221, 17.93017, 18.07951, 18.23992, 
    18.38641, 18.513, 18.62999, 18.74874, 18.85959, 18.95857, 19.04873, 
    19.1419, 19.23325, 19.32297, 19.41942, 19.51064, 19.57462, 19.60467, 
    19.61404, 19.65407, 19.68539, 19.72145, 19.76831, 19.69641, 19.57661, 
    19.37571, 18.99547, 18.52506, 18.00043, 17.51128, 16.98746, 16.50527, 
    16.16443, 15.87809, 15.72067, 15.73979, 15.80016, 15.93377, 16.16714, 
    16.41562, 16.56129, 16.69456, 16.81041, 16.89848, 17.06822, 17.36575, 
    17.55175, 17.63968, 17.76827, 17.92269, 18.08027, 18.28434, 18.5163, 
    18.63029, 18.61983, 18.62053, 18.6471, 18.64045, 18.61715, 18.56637, 
    18.49721, 18.40368, 18.30322, 18.21827, 15.19859, 8.24675, 8.125233, 
    7.978701, 7.814273, 7.538715, 7.194207, 6.727352, 6.210419, 2.989154, 0, 
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    17.12878, 17.40287, 17.75624, 18.17824, 18.68816, 19.37097, 20.20311, 
    21.07928, 21.98272, 22.98754, 24.0719, 25.13494, 26.16235, 27.29286, 
    28.42774, 29.52956, 19.0376, 14.56259, 14.79685, 14.94821, 15.03369, 
    15.1061, 15.40599, 15.68282, 15.92449, 18.24465, 36.47418, 36.93355, 
    37.33384, 37.70563, 37.93147, 37.80199, 37.6221, 37.40664, 37.17451, 
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    33.99497, 33.29771, 32.42612, 30.65196, 28.38028, 26.23517, 24.01874, 
    21.6119, 19.23714, 17.09366, 15.08916, 13.27421, 12.53248, 12.23462, 
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    13.04264, 13.19217, 13.37201, 13.49039, 7.750408, 4.943425, 0, 4.311794, 
    6.12957, 6.132448, 6.162144, 11.24252, 13.66532, 14.02886, 14.45197, 
    14.87985, 15.27735, 15.54068, 15.70018, 15.84139, 15.90143, 15.9465, 
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    16.45281, 16.38541, 16.37648, 16.42059, 16.52099, 16.63952, 16.75878, 
    16.8837, 17.02817, 17.1762,
  15.65767, 15.68863, 15.7479, 15.80985, 15.868, 15.92793, 15.99323, 
    16.05623, 16.11201, 16.16397, 16.21646, 16.26544, 16.30918, 16.349, 
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    16.11638, 16.19147, 16.3186, 16.48277, 16.64805, 16.85081, 17.0878, 
    17.20041, 17.18485, 17.18648, 17.22676, 17.21732, 17.1831, 17.10736, 
    17.00463, 16.86673, 16.71904, 16.59502, 16.46266, 16.25584, 15.98821, 
    15.66797, 13.23995, 7.942955, 7.579973, 7.088085, 6.543433, 3.149438, 0, 
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    17.8569, 18.66374, 19.51071, 20.41768, 21.45867, 22.587, 23.69376, 
    24.761, 25.76932, 26.68685, 27.44777, 27.94256, 28.26379, 28.46937, 
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    31.61081, 32.22318, 32.76951, 33.29149, 33.62693, 33.4981, 33.31922, 
    33.10661, 32.87795, 32.65258, 32.41356, 32.12046, 31.78152, 31.38732, 
    30.93676, 30.37357, 29.7157, 29.02363, 28.16001, 26.63585, 24.73449, 
    22.92596, 21.04322, 19.01839, 17.07174, 15.36065, 13.80176, 12.44602, 
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    14.70258, 14.7198, 14.7229, 14.75469, 14.82146, 14.89925, 14.97058, 
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    15.32743, 15.38263, 15.43028, 15.47973, 15.53213, 15.58552,
  14.17443, 14.17378, 14.17216, 14.17137, 14.17028, 14.16955, 14.1682, 
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    14.41649, 11.85605, 6.2965, 5.986968, 5.58151, 5.149793, 4.83871, 
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    13.59417, 13.8177, 14.01388, 14.21626, 14.47749, 14.7959, 15.16742, 
    15.62041, 16.21969, 16.93152, 17.67824, 18.51093, 19.49449, 20.55436, 
    21.59015, 22.56669, 23.29176, 23.87458, 24.32897, 24.49676, 24.37904, 
    24.10781, 23.68733, 23.0976, 22.54251, 23.28129, 24.03703, 24.71551, 
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    0.9485233, 0.9745736, 0.9862736, 0.983623, 0.9651214,
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    1.978137, 2.168395, 2.373654, 2.579256, 2.760354, 2.912254, 3.010407, 
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    0.9931553, 0.9232546, 0.8586059, 0.7681071, 0.6759592, 0.5910114, 
    0.5148125, 0.4453129, 0.3965623, 0.371012, 0.361212, 0.3619125, 
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    1.108915, 1.104564, 1.083512,
  1.143052, 1.116102, 1.059501, 0.9940002, 0.9275494, 0.8610978, 0.7960968, 
    0.7399957, 0.6965448, 0.6590436, 0.6234423, 0.5938908, 0.5705393, 
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    1.21831, 1.263563, 1.302115, 1.346966, 1.404267, 1.471267, 1.540368, 
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    2.64363, 2.848427, 3.027577, 3.18223, 3.287634, 3.38569, 3.312063, 
    1.196494, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.3951016, 1.019444, 1.000152, 0.9302528, 
    0.8670031, 0.7796549, 0.6916573, 0.6117603, 0.5388626, 0.471114, 
    0.4219141, 0.3960141, 0.3862141, 0.3884652, 0.3988169, 0.4132684, 
    0.4301702, 0.4501222, 0.4726741, 0.4982764, 0.5305291, 0.5733323, 
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    0.8427628, 1.687975, 1.692773, 1.697624, 1.67903, 1.642236, 1.52317, 
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    1.223205, 1.217054, 1.194054,
  1.244045, 1.216395, 1.158995, 1.092695, 1.025295, 0.9575455, 0.891095, 
    0.833845, 0.7892947, 0.7503445, 0.7133445, 0.6814436, 0.6565436, 
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    1.049042, 1.104844, 1.160297, 1.219199, 1.279202, 1.333604, 1.388006, 
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    1.861465, 1.956616, 2.060865, 2.173614, 2.305264, 2.475013, 2.680614, 
    2.89011, 3.090858, 3.270308, 3.430111, 3.547868, 3.664229, 1.828009, 0, 
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    0.7061567, 0.6325098, 0.5648124, 0.500064, 0.4525654, 0.4270158, 
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    1.246833, 1.314427, 1.38867, 1.461764, 1.531008, 1.595403, 1.636949, 
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    1.123799, 1.191298, 1.249648, 1.292847, 1.317796, 1.326996, 1.319595, 
    1.295745,
  1.337538, 1.310238, 1.254039, 1.189341, 1.122791, 1.056242, 0.9906433, 
    0.9343441, 0.8900446, 0.8513449, 0.814345, 0.7834967, 0.7640513, 
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    1.318095, 1.378597, 1.442699, 1.507751, 1.566853, 1.626305, 1.688908, 
    1.74571, 1.789861, 1.838211, 1.897261, 1.96526, 2.034359, 2.113959, 
    2.208508, 2.310306, 2.419605, 2.549904, 2.719703, 2.924102, 3.120345, 
    3.308536, 3.477427, 3.63222, 3.760072, 3.89738, 0.3933082, 0, 0, 0, 0, 0, 
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    1.313476, 1.366369, 1.425062, 1.484006, 1.538749, 1.591444, 1.62319, 
    1.641986, 1.668133, 1.713181, 1.232337, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.9345539, 0.9338037, 0.929053, 0.9194011, 0.9031487, 0.8806956, 
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    1.34819, 1.389239, 1.412038, 1.419787, 1.411637, 1.387887,
  1.422531, 1.396982, 1.344033, 1.282735, 1.219787, 1.156489, 1.094541, 
    1.040792, 0.9985431, 0.9618943, 0.9264954, 0.9008479, 0.8943037, 0.90386, 
    0.9255173, 0.9473745, 0.965582, 0.9802887, 0.9912957, 0.9985507, 
    1.002103, 0.9969026, 0.9810515, 0.96255, 0.9455985, 0.9286464, 0.9145947, 
    0.9084434, 0.9075931, 0.9060429, 0.8906423, 0.8660913, 0.842841, 
    0.826943, 0.8297479, 0.8662041, 0.9051096, 0.9464654, 0.9681722, 
    0.9800757, 0.9818745, 0.985071, 0.9865145, 0.9746059, 0.9460984, 
    0.9231911, 0.9080832, 0.9306265, 0.9743237, 1.035875, 1.108279, 1.184681, 
    1.258335, 1.331287, 1.40989, 1.485242, 1.551344, 1.615695, 1.683145, 
    1.750996, 1.813346, 1.876747, 1.943398, 2.003799, 2.0501, 2.09885, 
    2.156699, 2.222949, 2.290598, 2.368397, 2.460146, 2.559896, 2.665844, 
    2.793493, 2.961442, 3.158237, 3.335079, 3.502471, 3.649413, 3.784353, 
    3.904546, 2.596678, 0.201345, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05011142, 0.6344286, 
    0.9214969, 0.8670494, 0.8008534, 0.7349065, 0.6757591, 0.6211613, 
    0.5683141, 0.5287662, 0.5090185, 0.5071222, 0.5196761, 0.5428296, 
    0.5705323, 0.6017345, 0.6360869, 0.6723389, 0.7110404, 0.7546402, 
    0.8083392, 0.8659375, 0.9152867, 0.9579862, 1.002385, 1.053035, 1.110282, 
    1.172778, 1.234374, 1.284619, 1.321514, 1.354558, 1.391252, 1.432495, 
    1.474487, 1.513331, 1.55828, 1.582728, 1.594226, 1.615175, 1.572559, 
    0.607832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2871708, 1.412882, 1.862928, 1.856976, 1.864025, 1.863527, 1.85253, 
    1.845182, 1.832935, 1.816288, 1.794393, 1.763598, 1.709803, 1.635805, 
    1.559706, 1.476206, 1.393156, 1.319306, 1.251055, 1.185003, 1.129452, 
    1.099303, 1.084203, 1.074803, 1.069804, 1.068054, 1.068054, 1.068054, 
    1.068054, 1.068054, 1.068054, 1.068054, 1.066854, 1.060053, 1.045901, 
    1.023548, 0.9940459, 0.9630431, 0.9295906, 0.8911877, 0.8545844, 
    0.8262826, 0.8070817, 0.7957827, 0.7894838, 0.7857848, 0.7827853, 
    0.7764843, 0.7675332, 0.7532821, 0.7327299, 0.7053272, 0.6751229, 
    0.6485193, 0.6233155, 0.5991114, 0.5831604, 0.5757586, 0.5760569, 
    0.5799042, 0.5896513, 0.6019989, 0.6150458, 0.6289934, 0.6356406, 
    0.6324888, 0.6198874, 0.5969358, 0.4859744, 0.396634, 0.4834855, 
    0.4262874, 0.3659905, 0.3134938, 0.2669463, 0.2246484, 0.1902497, 
    0.1612502, 0.1490501, 0.1486501, 0.1584004, 0.1795015, 0.1329926, 
    0.02595335, 0.202884, 0.3350081, 0.3590578, 0.1962277, 0.175365, 
    0.183256, 0.313903, 0.3653639, 0.3691161, 0.3807691, 0.4025723, 
    0.4428255, 0.4984792, 0.5647821, 0.6440347, 0.7414868, 0.8467383, 
    0.9477891, 1.048489, 1.151988, 1.245987, 1.321535, 1.384483, 1.436732, 
    1.47448, 1.494779, 1.501429, 1.493179, 1.47033,
  1.499025, 1.476276, 1.428078, 1.37223, 1.315283, 1.257635, 1.201437, 
    1.152339, 1.114041, 1.080642, 1.048944, 1.033448, 1.042304, 1.06866, 
    1.109066, 1.150523, 1.187079, 1.219435, 1.248042, 1.268046, 1.274846, 
    1.267645, 1.248944, 1.226342, 1.204591, 1.182489, 1.163137, 1.152985, 
    1.151085, 1.149185, 1.132134, 1.105483, 1.081333, 1.070835, 1.085939, 
    1.137794, 1.191349, 1.247705, 1.28581, 1.307563, 1.307613, 1.303812, 
    1.290207, 1.258601, 1.213346, 1.176493, 1.148692, 1.16099, 1.202592, 
    1.269744, 1.349797, 1.433999, 1.514601, 1.593453, 1.674702, 1.74945, 
    1.814098, 1.876645, 1.941693, 2.007992, 2.070341, 2.134441, 2.206994, 
    2.275749, 2.327852, 2.377853, 2.434203, 2.498352, 2.56335, 2.638149, 
    2.726598, 2.816992, 2.912836, 3.032481, 3.194078, 3.377823, 3.533566, 
    3.68161, 3.807653, 3.919846, 4.02279, 1.220711, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.1409025, 0.6818372, 0.8670505, 0.8106037, 0.7527065, 0.700509, 
    0.6528617, 0.6074643, 0.5767187, 0.566273, 0.5754273, 0.5985811, 
    0.6306341, 0.6650363, 0.7018882, 0.7411394, 0.7814904, 0.8202892, 
    0.860487, 0.9088343, 0.9615324, 1.007781, 1.04808, 1.089728, 1.135526, 
    1.184772, 1.236118, 1.285864, 1.32426, 1.348756, 1.367302, 1.387246, 
    1.41144, 1.436735, 1.463432, 1.502379, 1.522228, 1.527225, 1.542373, 
    1.416324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5871091, 1.95303, 1.94203, 1.932979, 1.936628, 1.938028, 1.93383, 
    1.93078, 1.923631, 1.913033, 1.900334, 1.880037, 1.835289, 1.767042, 
    1.693893, 1.611593, 1.528793, 1.455044, 1.385493, 1.316143, 1.259093, 
    1.229793, 1.215893, 1.207244, 1.202443, 1.201044, 1.201044, 1.201043, 
    1.201043, 1.201044, 1.201044, 1.201043, 1.199694, 1.191543, 1.173592, 
    1.14459, 1.108538, 1.071036, 1.031084, 0.9856815, 0.9422296, 0.9095283, 
    0.888728, 0.8807294, 0.8785312, 0.8782827, 0.8762829, 0.8684328, 
    0.8569319, 0.8400311, 0.813679, 0.7770752, 0.7347706, 0.6965159, 
    0.6596612, 0.6274593, 0.608258, 0.5967568, 0.592255, 0.5888523, 
    0.5017881, 0.4483949, 0.602345, 0.6106433, 0.60899, 0.6002377, 0.5848371, 
    0.5585862, 0.4460903, 0.3575771, 0.4460371, 0.3934887, 0.3413915, 
    0.298245, 0.2582473, 0.2200482, 0.1886491, 0.1620003, 0.1497003, 0.14875, 
    0.1611516, 0.1364689, 0.02922978, 0.03240145, 0.3331646, 0.367265, 
    0.2448141, 0.03980166, 0.2120464, 0.3103324, 0.4079174, 0.4104687, 
    0.4197706, 0.4382726, 0.467625, 0.5163779, 0.5806305, 0.6532823, 
    0.7381839, 0.8399349, 0.9478855, 1.049285, 1.148234, 1.248333, 1.33743, 
    1.408529, 1.466677, 1.514275, 1.548074, 1.565773, 1.571222, 1.563272, 
    1.542573,
  1.565519, 1.545569, 1.503572, 1.454373, 1.404276, 1.353828, 1.30443, 
    1.261532, 1.227783, 1.198235, 1.171286, 1.170491, 1.196046, 1.239802, 
    1.299708, 1.362315, 1.417821, 1.468427, 1.515833, 1.548987, 1.556087, 
    1.546737, 1.524836, 1.497484, 1.470083, 1.44198, 1.415828, 1.401227, 
    1.397076, 1.394325, 1.375625, 1.347174, 1.323075, 1.318226, 1.34503, 
    1.410884, 1.479088, 1.549742, 1.601546, 1.631998, 1.632349, 1.624998, 
    1.600145, 1.554792, 1.498339, 1.455188, 1.424738, 1.436589, 1.482841, 
    1.558144, 1.646847, 1.739799, 1.826351, 1.908002, 1.987401, 2.055949, 
    2.114098, 2.169445, 2.226842, 2.28729, 2.345588, 2.407737, 2.49004, 
    2.572394, 2.634097, 2.686347, 2.738696, 2.797793, 2.857591, 2.926489, 
    3.007035, 3.077678, 3.154072, 3.257416, 3.406111, 3.576307, 3.714302, 
    3.846348, 3.954843, 4.047838, 3.079136, 0.6182207, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.4477508, 0.871002, 0.8234045, 0.7736571, 0.7290095, 0.6885615, 
    0.6520146, 0.6360198, 0.6390243, 0.6609282, 0.6958821, 0.7369349, 
    0.777787, 0.8193381, 0.8620892, 0.9028385, 0.9350355, 0.9675828, 1.00698, 
    1.052677, 1.093775, 1.129974, 1.166472, 1.203469, 1.242265, 1.282812, 
    1.321359, 1.348856, 1.362753, 1.36895, 1.373295, 1.38184, 1.394987, 
    1.414086, 1.444433, 1.460082, 1.457979, 1.465327, 1.342028, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6160596, 2.049032, 
    2.036131, 2.02373, 2.021428, 2.022527, 2.021528, 2.018827, 2.012427, 
    2.003777, 1.994777, 1.979128, 1.94043, 1.879032, 1.809233, 1.728033, 
    1.645933, 1.572784, 1.503134, 1.433234, 1.376884, 1.348284, 1.334734, 
    1.326735, 1.322585, 1.321535, 1.321535, 1.321535, 1.321535, 1.321535, 
    1.321535, 1.321535, 1.320185, 1.311785, 1.290784, 1.256033, 1.213681, 
    1.170779, 1.125428, 1.074226, 1.025825, 0.9905245, 0.9692246, 0.9657261, 
    0.9693781, 0.9742799, 0.9739307, 0.9658807, 0.953631, 0.9350306, 
    0.9027789, 0.8543251, 0.7960693, 0.7420138, 0.6900588, 0.3547246, 
    0.30971, 0.303064, 0.2995662, 0.2959684, 0.293227, 0.4380868, 0.586895, 
    0.5884424, 0.5776896, 0.5622376, 0.543286, 0.514285, 0.4799351, 
    0.4449853, 0.4040857, 0.3562372, 0.3126399, 0.2794929, 0.247746, 
    0.2149484, 0.1881505, 0.1687538, 0.1644087, 0.1622583, 0.0816499, 
    0.04572194, 0, 0.01723942, 0.1770414, 0.1943807, 0.06026302, 0.2462751, 
    0.4590216, 0.4640211, 0.4683216, 0.4736722, 0.4879736, 0.5120251, 
    0.5476269, 0.6037287, 0.6738301, 0.7510313, 0.8390818, 0.9423818, 
    1.050281, 1.14903, 1.243929, 1.338276, 1.420774, 1.485772, 1.53817, 
    1.580318, 1.609817, 1.625016, 1.629016, 1.621816, 1.603467,
  1.620513, 1.603014, 1.567115, 1.525017, 1.482019, 1.439021, 1.396373, 
    1.359375, 1.330526, 1.305177, 1.28593, 1.301334, 1.344539, 1.406994, 
    1.4883, 1.573557, 1.650062, 1.721318, 1.789374, 1.835377, 1.844328, 
    1.834028, 1.808727, 1.776126, 1.742324, 1.706421, 1.67292, 1.652668, 
    1.644817, 1.640116, 1.619615, 1.589665, 1.566565, 1.567267, 1.60507, 
    1.683523, 1.764576, 1.847729, 1.910231, 1.946433, 1.947583, 1.938232, 
    1.906081, 1.851979, 1.789828, 1.744478, 1.714428, 1.73008, 1.783832, 
    1.868735, 1.967888, 2.071391, 2.165343, 2.249494, 2.327194, 2.391093, 
    2.443341, 2.490689, 2.538336, 2.588883, 2.63858, 2.697379, 2.78653, 
    2.878132, 2.947833, 3.002484, 3.049083, 3.09983, 3.151078, 3.209324, 
    3.273469, 3.320612, 3.375056, 3.4575, 3.587544, 3.74434, 3.868537, 
    3.988534, 4.085332, 3.526688, 1.038443, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4525019, 0.8819041, 0.8400549, 0.7986072, 0.7615091, 0.7286114, 
    0.7039151, 0.7047696, 0.7222734, 0.7569268, 0.8037298, 0.8540823, 
    0.9010338, 0.9458845, 0.9906347, 1.027083, 1.04978, 1.072477, 1.100924, 
    1.135271, 1.167267, 1.196115, 1.224912, 1.25291, 1.281507, 1.312555, 
    1.340903, 1.3592, 1.366249, 1.364548, 1.358196, 1.354944, 1.360242, 
    1.373241, 1.394638, 1.403085, 1.394484, 1.393932, 0.7203867, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6463578, 2.150026, 
    2.136076, 2.120976, 2.113525, 2.114275, 2.115726, 2.111376, 2.102975, 
    2.093024, 2.083424, 2.068724, 2.033124, 1.976274, 1.908575, 1.828925, 
    1.747575, 1.675276, 1.606476, 1.537676, 1.482176, 1.454277, 1.441077, 
    1.433727, 1.430227, 1.429527, 1.429527, 1.429527, 1.429527, 1.429527, 
    1.429527, 1.429527, 1.428027, 1.419527, 1.396327, 1.357376, 1.309474, 
    1.262273, 1.212622, 1.157222, 1.105371, 1.068771, 1.047921, 1.048822, 
    1.058723, 1.068024, 1.068924, 1.061825, 1.050275, 1.031025, 0.9904218, 
    0.9259665, 0.8466603, 0.7732547, 0.4645216, 0.03443154, 0.09289975, 
    0.1548329, 0, 0, 0.1717486, 0.5707453, 0.5686446, 0.5638435, 0.5448915, 
    0.5229898, 0.4989885, 0.4670378, 0.4335382, 0.4007392, 0.3623401, 
    0.3194414, 0.2838934, 0.2612464, 0.2414001, 0.2210046, 0.1735418, 
    0.1472351, 0.2165203, 0.2197236, 0, 0, 0, 0, 0, 0, 0, 0.2541451, 
    0.5394242, 0.5430239, 0.5480238, 0.5552743, 0.5730249, 0.6017761, 
    0.6420771, 0.7030782, 0.7765787, 0.856029, 0.9445787, 1.046728, 1.151077, 
    1.244525, 1.333423, 1.420221, 1.494318, 1.552016, 1.598165, 1.634363, 
    1.659062, 1.671761, 1.675011, 1.668461, 1.652712,
  1.663008, 1.648659, 1.618711, 1.583812, 1.548014, 1.511865, 1.476267, 
    1.445218, 1.42152, 1.40027, 1.391723, 1.423827, 1.485531, 1.567536, 
    1.671791, 1.780746, 1.879802, 1.973607, 2.064163, 2.123016, 2.136817, 
    2.127168, 2.100018, 2.062617, 2.022065, 1.978364, 1.937362, 1.90981, 
    1.897059, 1.888858, 1.865657, 1.834157, 1.812307, 1.818808, 1.86616, 
    1.955713, 2.047315, 2.140317, 2.210518, 2.250869, 2.252819, 2.240768, 
    2.202417, 2.140765, 2.074814, 2.028464, 1.999614, 2.019414, 2.079565, 
    2.172617, 2.281969, 2.397222, 2.501575, 2.591226, 2.669076, 2.730676, 
    2.778576, 2.818774, 2.855722, 2.893719, 2.931566, 2.984114, 3.074614, 
    3.170464, 3.245065, 3.301465, 3.342864, 3.384262, 3.425309, 3.470206, 
    3.512701, 3.534545, 3.56679, 3.626335, 3.735481, 3.877676, 3.989274, 
    4.098421, 4.189871, 2.975014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4615025, 0.9013053, 0.8623059, 0.8270569, 0.7975087, 0.7728605, 
    0.7615635, 0.7785171, 0.8100202, 0.8565727, 0.913675, 0.9724267, 
    1.023777, 1.070578, 1.114677, 1.144326, 1.157273, 1.168821, 1.183317, 
    1.202613, 1.223011, 1.242359, 1.262957, 1.283455, 1.304004, 1.326652, 
    1.3466, 1.3593, 1.362999, 1.357248, 1.345598, 1.335796, 1.334745, 
    1.341743, 1.354391, 1.352239, 1.337738, 1.329536, 0.1328486, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6748564, 2.246522, 
    2.234423, 2.218923, 2.210073, 2.211773, 2.217324, 2.213024, 2.199773, 
    2.184771, 2.17082, 2.153719, 2.116768, 2.060268, 1.992568, 1.913417, 
    1.833018, 1.762518, 1.695519, 1.629019, 1.57432, 1.54727, 1.53492, 
    1.52822, 1.52522, 1.524521, 1.52452, 1.52452, 1.52452, 1.524521, 1.52452, 
    1.52452, 1.52302, 1.51452, 1.48992, 1.446919, 1.395068, 1.344268, 
    1.291017, 1.232316, 1.178266, 1.140265, 1.120466, 1.125367, 1.140568, 
    1.153018, 1.154619, 1.149319, 1.13957, 1.118769, 1.065416, 0.9796605, 
    0.752398, 0.3908207, 0.3523084, 0.3256493, 0.4021492, 0.4530658, 
    0.2926842, 0.281329, 0.356736, 0.5494943, 0.5421425, 0.5308404, 
    0.4356072, 0.3624351, 0.4517381, 0.4192386, 0.3885895, 0.3604908, 
    0.3281928, 0.2930452, 0.267248, 0.256751, 0.2511544, 0.2476583, 0.219378, 
    0.2125427, 0.300171, 0.1496477, 0, 0, 0, 0, 0, 0, 0.2517654, 0.3827487, 
    0.6386749, 0.6405243, 0.6455243, 0.6541746, 0.6735747, 0.7057753, 
    0.7488257, 0.8125261, 0.8874263, 0.9660257, 1.052675, 1.150573, 1.248422, 
    1.33477, 1.415168, 1.492665, 1.557363, 1.607261, 1.64631, 1.676408, 
    1.696157, 1.706257, 1.708656, 1.703057, 1.689957,
  1.693505, 1.682305, 1.658306, 1.630608, 1.602009, 1.572711, 1.544212, 
    1.519413, 1.500264, 1.483565, 1.486467, 1.53532, 1.615274, 1.716927, 
    1.844382, 1.978237, 2.101291, 2.218746, 2.333451, 2.407404, 2.429055, 
    2.423407, 2.397257, 2.356907, 2.310806, 2.260505, 2.211453, 2.176652, 
    2.157801, 2.14455, 2.117249, 2.083648, 2.063299, 2.0755, 2.131201, 
    2.230103, 2.330554, 2.430655, 2.506406, 2.550007, 2.551807, 2.536106, 
    2.489404, 2.419402, 2.348301, 2.2989, 2.2692, 2.2897, 2.3523, 2.450951, 
    2.569052, 2.694154, 2.805304, 2.898254, 2.974002, 3.031151, 3.07355, 
    3.107198, 3.133496, 3.157744, 3.184542, 3.232692, 3.325293, 3.427545, 
    3.509547, 3.568448, 3.605997, 3.638345, 3.669294, 3.699891, 3.719537, 
    3.715532, 3.724026, 3.759822, 3.847668, 3.972714, 4.071012, 4.167909, 
    4.255258, 3.019455, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4680786, 0.5028419, 
    0.7188461, 0.9254048, 0.8893554, 0.8583562, 0.8357574, 0.8184086, 
    0.8177602, 0.8483124, 0.8922646, 0.9495165, 1.015518, 1.080469, 1.134269, 
    1.181419, 1.223469, 1.247068, 1.250016, 1.249113, 1.248311, 1.252458, 
    1.261506, 1.272654, 1.286503, 1.301252, 1.316752, 1.333301, 1.3478, 
    1.3577, 1.358999, 1.350849, 1.336048, 1.321648, 1.313746, 1.313545, 
    1.317643, 1.305541, 1.28549, 1.269639, 0.1266488, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.833012, 1.769613, 1.706463, 1.653964, 1.627764, 1.615914, 1.610164, 
    1.607714, 1.607015, 1.607015, 1.607014, 1.607014, 1.607015, 1.607015, 
    1.607014, 1.605514, 1.597015, 1.570664, 1.524014, 1.469313, 1.415763, 
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    1.226263, 1.229163, 1.226364, 1.218314, 1.191012, 1.121708, 0.55703, 
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    0.7640718, 0.7505221, 0.7517722, 0.7568722, 0.7660723, 0.7855222, 
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    1.339817, 1.417265, 1.487713, 1.554261, 1.609109, 1.650257, 1.681956, 
    1.706005, 1.721404, 1.729003, 1.730303, 1.725603, 1.714854,
  1.713502, 1.705103, 1.686904, 1.666255, 1.644506, 1.622407, 1.600708, 
    1.582109, 1.567259, 1.55556, 1.570212, 1.635364, 1.732517, 1.85347, 
    2.003973, 2.162727, 2.310031, 2.452435, 2.592339, 2.683391, 2.715793, 
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    2.427292, 2.408041, 2.37489, 2.337989, 2.318539, 2.33549, 2.398741, 
    2.505892, 2.613293, 2.718944, 2.799244, 2.844845, 2.845044, 2.824243, 
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    3.894324, 3.86372, 3.847016, 3.857962, 3.922809, 4.028605, 4.112003, 
    4.196101, 4.27775, 3.0331, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.998369, 1.015603, 0.9825037, 0.9515042, 0.9189047, 0.8920553, 
    0.8745059, 0.8632568, 0.8698578, 0.9093587, 0.96326, 1.028711, 1.101212, 
    1.168912, 1.223512, 1.269361, 1.308911, 1.328411, 1.32351, 1.310908, 
    1.296356, 1.287604, 1.286503, 1.290652, 1.299151, 1.310501, 1.323001, 
    1.3362, 1.34785, 1.3559, 1.356, 1.34665, 1.329949, 1.311949, 1.297998, 
    1.289647, 1.285246, 1.266645, 1.242245, 0.8019163, 0.06178114, 0, 0, 0, 
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    2.419216, 2.414767, 2.424017, 2.437117, 2.435467, 2.415367, 2.383266, 
    2.349764, 2.314462, 2.26356, 2.196509, 2.118608, 2.031907, 1.951256, 
    1.885507, 1.826757, 1.768458, 1.719909, 1.695259, 1.68461, 1.67961, 
    1.67736, 1.67701, 1.67736, 1.67756, 1.67801, 1.67826, 1.67851, 1.67851, 
    1.67701, 1.66826, 1.64026, 1.59106, 1.534359, 1.479009, 1.421909, 
    1.358909, 1.301359, 1.261509, 1.242308, 1.253759, 1.274859, 1.288509, 
    1.292709, 1.29291, 1.28541, 1.246508, 0.7584325, 0.05593293, 0, 0, 
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    0.2606704, 0.2546723, 0.4065733, 0.4533439, 0.2995955, 0.189247, 
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    0.8672675, 0.8718672, 0.8808172, 0.902768, 0.9395189, 0.9874691, 
    1.050768, 1.120118, 1.190017, 1.264115, 1.344864, 1.422612, 1.48926, 
    1.549258, 1.604757, 1.648855, 1.681504, 1.706103, 1.724152, 1.735651, 
    1.740751, 1.741301, 1.737251, 1.729101,
  1.726501, 1.720551, 1.707902, 1.693253, 1.677753, 1.662254, 1.647105, 
    1.633805, 1.623256, 1.616206, 1.642358, 1.722909, 1.836761, 1.975813, 
    2.148115, 2.330918, 2.501521, 2.668974, 2.834327, 2.943829, 2.98928, 
    3.003582, 2.990333, 2.954734, 2.904784, 2.845034, 2.782883, 2.733982, 
    2.702532, 2.676331, 2.63603, 2.594379, 2.574279, 2.594779, 2.66478, 
    2.779231, 2.892032, 3.002382, 3.086032, 3.131882, 3.128782, 3.101181, 
    3.03483, 2.942978, 2.852027, 2.786975, 2.743224, 2.751573, 2.808272, 
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    3.576529, 3.592777, 3.595926, 3.589924, 3.587521, 3.613469, 3.699117, 
    3.809618, 3.906518, 3.976118, 4.015269, 4.038969, 4.055518, 4.061567, 
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    0.5703804, 0.9348897, 1.068952, 1.036002, 1.006753, 0.9792532, 0.9508538, 
    0.9278042, 0.9137545, 0.907055, 0.9188054, 0.9633558, 1.023006, 1.092806, 
    1.168457, 1.236107, 1.289506, 1.333106, 1.369856, 1.385855, 1.376005, 
    1.355654, 1.330803, 1.311652, 1.303002, 1.301001, 1.3049, 1.31455, 
    1.32525, 1.33665, 1.3473, 1.35455, 1.355, 1.346, 1.32885, 1.30855, 1.29, 
    1.274949, 1.262198, 1.239748, 0.9151793, 0.1819084, 0, 0, 0, 0, 0, 0, 0, 
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    2.522212, 2.524463, 2.537263, 2.550763, 2.548213, 2.524012, 2.484761, 
    2.43886, 2.388108, 2.323406, 2.244504, 2.157203, 2.065053, 1.982552, 
    1.919003, 1.864903, 1.813404, 1.770805, 1.749005, 1.740156, 1.736156, 
    1.735006, 1.735256, 1.736556, 1.737556, 1.738656, 1.739756, 1.740857, 
    1.741007, 1.739507, 1.730757, 1.701357, 1.649556, 1.590556, 1.533756, 
    1.475205, 1.410455, 1.351705, 1.311255, 1.291805, 1.304155, 1.325505, 
    1.339255, 1.344955, 1.348606, 1.342106, 1.288754, 0.3775509, 0, 0, 0, 
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    1.74575, 1.7458, 1.742851, 1.737201,
  1.7355, 1.731651, 1.723451, 1.714101, 1.704252, 1.694052, 1.684052, 
    1.675353, 1.668753, 1.665653, 1.702554, 1.798305, 1.927506, 2.082958, 
    2.274759, 2.47886, 2.669762, 2.858213, 3.045865, 3.172266, 3.231267, 
    3.258068, 3.256119, 3.228269, 3.18127, 3.12132, 3.05677, 3.003619, 
    2.966269, 2.932769, 2.884618, 2.836967, 2.815017, 2.837867, 2.913318, 
    3.033918, 3.151268, 3.265819, 3.352369, 3.398269, 3.391769, 3.356918, 
    3.279618, 3.174166, 3.070015, 2.992464, 2.936063, 2.931162, 2.978761, 
    3.069761, 3.200612, 3.358813, 3.512015, 3.641768, 3.738119, 3.79607, 
    3.828269, 3.837019, 3.826518, 3.795015, 3.763513, 3.76211, 3.829708, 
    3.933407, 4.033258, 4.107558, 4.150558, 4.175159, 4.188758, 4.186608, 
    4.144056, 4.060805, 3.992753, 3.955151, 3.975549, 4.042048, 4.089997, 
    4.148446, 4.212194, 2.980246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.301796, 0.6004415, 1.125909, 
    1.16705, 1.14325, 1.114201, 1.085001, 1.056552, 1.031252, 1.007352, 
    0.9833025, 0.9642028, 0.953253, 0.9496532, 0.9643534, 1.011953, 1.073504, 
    1.144854, 1.220904, 1.287654, 1.338753, 1.379703, 1.413353, 1.426253, 
    1.413002, 1.387852, 1.356202, 1.329151, 1.314251, 1.3067, 1.30745, 
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    1.314601, 1.293501, 1.274151, 1.25545, 1.047672, 0.3029538, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6411523, 
    2.212046, 2.619057, 2.631308, 2.646758, 2.658358, 2.651907, 2.620057, 
    2.572756, 2.516005, 2.450404, 2.368503, 2.275502, 2.178301, 2.080251, 
    1.996, 1.935251, 1.886051, 1.842002, 1.807502, 1.789753, 1.783203, 
    1.780253, 1.780803, 1.782253, 1.784753, 1.787053, 1.789454, 1.791754, 
    1.794054, 1.794954, 1.793504, 1.785004, 1.754104, 1.699053, 1.637103, 
    1.578503, 1.518153, 1.451403, 1.390403, 1.348252, 1.327102, 1.338302, 
    1.360452, 1.375502, 1.383202, 1.391753, 1.387003, 0.9957027, 0.1907709, 
    0, 0, 0, 0.1634749, 0.2413794, 0.448245, 0.2197477, 0, 0, 0, 0, 0, 
    0.3255965, 0.2379974, 0, 0, 0.1399825, 0.2644487, 0.2707495, 0.2816005, 
    0.2969517, 0.3278528, 0.373254, 0.2597298, 0.02019692, 0.1006653, 
    0.5152798, 0.4979967, 0.4532191, 0.4992261, 0.7832929, 1.080306, 
    1.126205, 1.135856, 1.124007, 1.116007, 1.111608, 1.109058, 1.108509, 
    1.112509, 1.12716, 1.153909, 1.189759, 1.231909, 1.283608, 1.337757, 
    1.390007, 1.444706, 1.503305, 1.558054, 1.602504, 1.641003, 1.675452, 
    1.701452, 1.719251, 1.732151, 1.74125, 1.7461, 1.748, 1.74815, 1.74595, 
    1.74245,
  1.7415, 1.7394, 1.73495, 1.72965, 1.724251, 1.718501, 1.712551, 1.707601, 
    1.704001, 1.704251, 1.750302, 1.859602, 2.001752, 2.166653, 2.365152, 
    2.574252, 2.768502, 2.960301, 3.154001, 3.283201, 3.34425, 3.37415, 
    3.3796, 3.36005, 3.320001, 3.265251, 3.203951, 3.149552, 3.107751, 
    3.067701, 3.016801, 2.971302, 2.956752, 2.991203, 3.079654, 3.200603, 
    3.316003, 3.427203, 3.521253, 3.570753, 3.563004, 3.521303, 3.431503, 
    3.315453, 3.212753, 3.137354, 3.082205, 3.064154, 3.100254, 3.184654, 
    3.328904, 3.515905, 3.701007, 3.858808, 3.974909, 4.040859, 4.071759, 
    4.073258, 4.044558, 3.975306, 3.902004, 3.861953, 3.901801, 3.994951, 
    4.095501, 4.174351, 4.222551, 4.251902, 4.266752, 4.260252, 4.202501, 
    4.0947, 4.000249, 3.938348, 3.936697, 3.983697, 4.014496, 4.055095, 
    4.099895, 2.895546, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.06095464, 0.6087964, 0.9070231, 1.20105, 
    1.1864, 1.169, 1.1485, 1.1245, 1.100001, 1.075951, 1.054251, 1.033951, 
    1.013801, 0.9986013, 0.9907514, 0.9895514, 1.005351, 1.053601, 1.115501, 
    1.186851, 1.262301, 1.327201, 1.376001, 1.414301, 1.444951, 1.455801, 
    1.440501, 1.412251, 1.375251, 1.34265, 1.322, 1.30975, 1.30885, 1.31525, 
    1.32475, 1.33495, 1.346, 1.3563, 1.361, 1.3587, 1.34795, 1.328901, 
    1.307751, 1.286601, 1.266051, 0.8729005, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9274294, 2.571843, 2.734154, 
    2.751504, 2.760804, 2.748153, 2.706003, 2.648003, 2.580552, 2.503102, 
    2.405151, 2.296751, 2.1894, 2.0836, 1.99695, 1.9385, 1.8937, 1.85665, 
    1.830501, 1.817751, 1.813751, 1.812701, 1.814751, 1.818001, 1.821951, 
    1.826051, 1.830551, 1.834502, 1.837752, 1.839851, 1.838652, 1.830752, 
    1.798352, 1.739701, 1.675651, 1.615251, 1.553101, 1.484351, 1.420651, 
    1.375501, 1.351001, 1.361701, 1.383001, 1.397501, 1.407101, 1.421001, 
    1.418951, 0.6890002, 0, 0, 0, 0.1160088, 0.3695532, 0.3995974, 0.3325937, 
    0.1022422, 0, 0, 0, 0, 0, 0.2795983, 0.2425016, 0.1240094, 0.1196091, 
    0.131108, 0.2512996, 0.2695001, 0.2936507, 0.1883909, 0.3704518, 
    0.4307524, 0.3332157, 0.3142239, 0.4630199, 0.7662542, 0.8598543, 
    0.9591541, 1.045654, 1.108253, 1.157553, 1.192652, 1.201702, 1.200503, 
    1.201403, 1.205053, 1.209404, 1.214254, 1.223654, 1.243304, 1.270154, 
    1.302504, 1.339054, 1.383504, 1.429303, 1.473003, 1.518103, 1.565352, 
    1.609152, 1.644001, 1.673601, 1.699101, 1.7181, 1.73075, 1.73955, 
    1.74535, 1.74815, 1.749, 1.74915, 1.74795, 1.7459,
  1.746, 1.74495, 1.74295, 1.7404, 1.738, 1.7356, 1.733, 1.7307, 1.72925, 
    1.73165, 1.7853, 1.90325, 2.0505, 2.2142, 2.40495, 2.60275, 2.7845, 
    2.96345, 3.1463, 3.2638, 3.31725, 3.34585, 3.35815, 3.3475, 3.31575, 
    3.2686, 3.2131, 3.1596, 3.11475, 3.06885, 3.015, 2.97085, 2.963, 3.0094, 
    3.10975, 3.2266, 3.33575, 3.4393, 3.5367, 3.5935, 3.5935, 3.55395, 
    3.46085, 3.34805, 3.2605, 3.2006, 3.15995, 3.1407, 3.16775, 3.2473, 
    3.41025, 3.6322, 3.85325, 4.0414, 4.1763, 4.24935, 4.27775, 4.27185, 
    4.2205, 4.10645, 3.98425, 3.89775, 3.8996, 3.97385, 4.06825, 4.1497, 
    4.2061, 4.2439, 4.262, 4.2507, 4.1805, 4.05355, 3.94, 3.85935, 3.83635, 
    3.86305, 3.8755, 3.89775, 3.9256, 3.3492, 0.96725, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.31175, 0.6214, 0.6784, 
    1.22155, 1.21325, 1.2032, 1.18885, 1.1718, 1.15375, 1.13395, 1.11345, 
    1.09285, 1.0745, 1.05755, 1.0413, 1.0297, 1.0245, 1.0249, 1.0403, 1.0873, 
    1.14825, 1.21865, 1.29275, 1.35575, 1.402, 1.4367, 1.46455, 1.474, 
    1.45775, 1.42785, 1.3877, 1.35095, 1.3255, 1.30985, 1.30835, 1.31475, 
    1.32475, 1.33545, 1.3475, 1.3594, 1.36725, 1.3695, 1.3638, 1.348, 1.329, 
    1.31, 1.29065, 0.8911, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.38415, 2.84395, 2.863, 2.8663, 2.84395, 
    2.789, 2.719, 2.6399, 2.55025, 2.43995, 2.316, 2.19695, 2.0834, 1.99395, 
    1.93625, 1.8943, 1.8627, 1.84315, 1.835, 1.83245, 1.8332, 1.83705, 1.842, 
    1.848, 1.85495, 1.86165, 1.86775, 1.87245, 1.8753, 1.87445, 1.86775, 
    1.83375, 1.77225, 1.70605, 1.64375, 1.58005, 1.50885, 1.4424, 1.3945, 
    1.36515, 1.37345, 1.3905, 1.4015, 1.4118, 1.4285, 1.2175, 0.34625, 0, 0, 
    0.0726, 0.32825, 0.3648, 0.32345, 0.2233, 0, 0, 0, 0, 0, 0, 0.2304, 
    0.2413, 0.232, 0.152, 0.2218, 0.2493, 0.2795, 0.31705, 0.22745, 0.4257, 
    0.50125, 0.58695, 0.6823, 0.7823, 0.8805, 0.9731, 1.0658, 1.1402, 1.191, 
    1.2299, 1.25365, 1.26415, 1.27075, 1.27875, 1.28945, 1.2996, 1.30925, 
    1.32415, 1.34635, 1.37375, 1.402, 1.43305, 1.4704, 1.50785, 1.5435, 
    1.57985, 1.61685, 1.65055, 1.677, 1.69855, 1.7171, 1.7299, 1.7385, 
    1.7443, 1.74745, 1.749, 1.7495, 1.74965, 1.749, 1.74805,
  1.749, 1.74865, 1.748, 1.74735, 1.74675, 1.74615, 1.7455, 1.745, 1.74475, 
    1.74835, 1.807749, 1.930299, 2.07375, 2.2298, 2.40915, 2.591501, 
    2.757752, 2.920502, 3.087703, 3.189954, 3.236504, 3.268354, 3.289154, 
    3.287603, 3.263753, 3.222753, 3.172952, 3.122452, 3.075502, 3.024703, 
    2.963053, 2.911653, 2.900003, 2.945403, 3.046153, 3.162003, 3.268503, 
    3.368703, 3.462254, 3.523803, 3.536003, 3.507253, 3.425452, 3.324902, 
    3.249002, 3.200051, 3.170351, 3.159001, 3.18375, 3.26065, 3.44165, 
    3.697549, 3.951747, 4.164647, 4.313746, 4.390596, 4.414997, 4.401597, 
    4.329748, 4.171599, 4.000001, 3.866552, 3.830904, 3.881254, 3.964505, 
    4.044605, 4.104755, 4.147805, 4.167005, 4.149805, 4.068305, 3.927406, 
    3.801007, 3.707857, 3.668558, 3.679958, 3.678759, 3.688409, 3.706459, 
    3.737459, 2.782435, 0.5447585, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.6302495, 1.254199, 1.243399, 1.231799, 1.221, 
    1.2095, 1.1949, 1.17845, 1.162, 1.14485, 1.127399, 1.109449, 1.093749, 
    1.079449, 1.066699, 1.057799, 1.054749, 1.055899, 1.070249, 1.115349, 
    1.173249, 1.2392, 1.30835, 1.36735, 1.40975, 1.4399, 1.464601, 1.472351, 
    1.455751, 1.426901, 1.38805, 1.35065, 1.32375, 1.30665, 1.30495, 1.3127, 
    1.3245, 1.33665, 1.35005, 1.364, 1.37475, 1.3813, 1.380799, 1.370049, 
    1.355999, 1.343699, 1.329148, 1.117984, 0.3297249, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.144761, 1.903726, 
    2.970246, 2.965497, 2.929997, 2.862148, 2.781248, 2.691598, 2.590199, 
    2.472349, 2.338249, 2.208349, 2.0881, 1.99535, 1.93625, 1.89465, 1.86575, 
    1.8499, 1.84325, 1.8408, 1.84225, 1.8475, 1.8545, 1.86325, 1.87345, 
    1.883099, 1.890999, 1.896799, 1.900299, 1.900249, 1.894749, 1.859499, 
    1.794749, 1.72515, 1.65975, 1.5947, 1.5231, 1.4535, 1.402, 1.3666, 
    1.3693, 1.380301, 1.388251, 1.397601, 1.336907, 0.5019382, 0, 0, 0, 
    0.1312511, 0.3805034, 0.2808028, 0.2529522, 0.1757016, 0, 0, 0, 0, 0, 0, 
    0.1111571, 0.1996515, 0.2020011, 0.1346947, 0.2178492, 0.2590995, 
    0.3017489, 0.3534983, 0.4161477, 0.496697, 0.5879964, 0.686296, 
    0.7905459, 0.8948959, 0.9932459, 1.080396, 1.162997, 1.222797, 1.258998, 
    1.290998, 1.313298, 1.329347, 1.340997, 1.354397, 1.370447, 1.385647, 
    1.399747, 1.418047, 1.440147, 1.464197, 1.487997, 1.513897, 1.544397, 
    1.574398, 1.602248, 1.630448, 1.658349, 1.683099, 1.702249, 1.717199, 
    1.7297, 1.738, 1.7435, 1.74725, 1.74855, 1.7495, 1.74975, 1.75, 1.74955, 
    1.74935,
  1.7505, 1.7505, 1.75045, 1.74955, 1.7475, 1.745101, 1.742951, 1.741001, 
    1.741001, 1.745551, 1.809001, 1.931951, 2.069502, 2.218252, 2.386903, 
    2.554754, 2.704505, 2.849356, 2.997708, 3.082759, 3.12251, 3.15666, 
    3.183609, 3.188559, 3.171758, 3.136758, 3.093857, 3.048107, 3.001257, 
    2.948107, 2.880607, 2.824358, 2.811007, 2.852607, 2.949658, 3.063159, 
    3.169508, 3.268158, 3.356409, 3.41551, 3.433259, 3.412859, 3.346158, 
    3.258607, 3.190756, 3.144606, 3.116107, 3.107957, 3.131757, 3.204908, 
    3.398707, 3.679606, 3.958754, 4.189253, 4.349952, 4.432251, 4.456501, 
    4.439101, 4.354902, 4.160604, 3.945507, 3.772059, 3.699363, 3.724765, 
    3.794516, 3.869167, 3.927817, 3.970667, 3.989267, 3.969367, 3.880767, 
    3.735917, 3.603517, 3.502267, 3.451567, 3.453968, 3.450268, 3.451818, 
    3.468718, 3.499718, 3.516767, 1.056155, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1976699, 0.9729488, 1.277548, 1.261948, 
    1.246699, 1.233749, 1.221149, 1.206449, 1.190749, 1.175499, 1.159549, 
    1.143449, 1.127399, 1.113498, 1.101348, 1.091198, 1.084748, 1.082998, 
    1.084398, 1.097498, 1.138149, 1.189249, 1.24595, 1.306901, 1.358851, 
    1.396002, 1.422302, 1.443752, 1.450802, 1.436502, 1.412751, 1.379401, 
    1.34495, 1.319, 1.30215, 1.30055, 1.3098, 1.32375, 1.33735, 1.3525, 
    1.36795, 1.381, 1.391949, 1.397199, 1.391698, 1.385248, 1.380197, 
    1.372097, 1.357496, 0.6734979, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4524689, 2.284862, 3.047844, 
    3.001045, 2.923195, 2.834746, 2.737196, 2.627997, 2.506697, 2.370247, 
    2.234147, 2.107148, 2.008948, 1.946249, 1.901749, 1.872249, 1.856099, 
    1.848, 1.8448, 1.84675, 1.853099, 1.862499, 1.874349, 1.887999, 1.901348, 
    1.911248, 1.917298, 1.921748, 1.922398, 1.917498, 1.882148, 1.814148, 
    1.739749, 1.670249, 1.603549, 1.533099, 1.4596, 1.40375, 1.36155, 
    1.355351, 1.359052, 1.361253, 1.359954, 0.690835, 0, 0.2454626, 
    0.1472775, 0, 0.1051518, 0.3010054, 0.2193038, 0.2021534, 0.1666982, 
    0.08848651, 0.02639598, 0, 0, 0, 0, 0.01735008, 0.1751508, 0.1832507, 
    0.2036001, 0.235299, 0.279698, 0.335997, 0.401746, 0.4811947, 0.5787936, 
    0.6809931, 0.7835431, 0.8914929, 0.9934934, 1.085994, 1.165895, 1.235845, 
    1.281347, 1.311246, 1.342896, 1.369296, 1.389746, 1.405245, 1.423195, 
    1.443945, 1.463844, 1.481744, 1.500344, 1.520944, 1.541295, 1.560995, 
    1.582095, 1.605946, 1.629096, 1.649747, 1.670397, 1.690348, 1.707448, 
    1.720499, 1.730749, 1.738349, 1.7434, 1.74675, 1.7487, 1.7495, 1.75, 
    1.75, 1.75, 1.75, 1.75015,
  1.7515, 1.7515, 1.75125, 1.74735, 1.740751, 1.733801, 1.726952, 1.720903, 
    1.718753, 1.722903, 1.790253, 1.909603, 2.042004, 2.184905, 2.344156, 
    2.498657, 2.632759, 2.759861, 2.887064, 2.952166, 2.985267, 3.018017, 
    3.047567, 3.055767, 3.044766, 3.016965, 2.982714, 2.943964, 2.901013, 
    2.848963, 2.780612, 2.723662, 2.711262, 2.750312, 2.840563, 2.946464, 
    3.047765, 3.140666, 3.219668, 3.273168, 3.292768, 3.276668, 3.221617, 
    3.146816, 3.086265, 3.040414, 3.009264, 2.999214, 3.018015, 3.084066, 
    3.279367, 3.573416, 3.869514, 4.112413, 4.282812, 4.371662, 4.398512, 
    4.380562, 4.290362, 4.074764, 3.827767, 3.620321, 3.507775, 3.502779, 
    3.552531, 3.618732, 3.677232, 3.720332, 3.740032, 3.721231, 3.633731, 
    3.499079, 3.373278, 3.278626, 3.228675, 3.229524, 3.231023, 3.231823, 
    3.257321, 3.29657, 3.327767, 2.151892, 1.470014, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.399899, 1.323497, 1.302797, 
    1.283997, 1.266247, 1.251748, 1.238298, 1.223448, 1.207898, 1.193248, 
    1.177548, 1.161498, 1.146348, 1.133748, 1.123248, 1.115797, 1.112997, 
    1.113996, 1.116746, 1.128346, 1.159747, 1.200999, 1.2475, 1.298951, 
    1.342702, 1.373253, 1.394004, 1.411504, 1.419604, 1.412003, 1.395302, 
    1.368801, 1.338901, 1.314001, 1.297501, 1.296201, 1.3074, 1.3235, 
    1.33855, 1.35495, 1.37125, 1.385749, 1.399899, 1.411149, 1.411998, 
    1.412497, 1.411597, 1.408247, 1.401546, 0.6984975, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7756773, 
    1.542953, 2.912728, 2.986092, 2.895992, 2.797142, 2.685941, 2.562541, 
    2.425742, 2.286492, 2.153093, 2.047794, 1.977995, 1.925346, 1.887948, 
    1.866698, 1.855499, 1.850949, 1.852849, 1.860699, 1.872749, 1.887598, 
    1.904098, 1.921398, 1.934247, 1.941847, 1.948147, 1.949247, 1.943997, 
    1.909347, 1.840497, 1.762397, 1.687248, 1.618748, 1.545998, 1.468199, 
    1.407499, 1.358, 1.339602, 1.334003, 1.325754, 1.304556, 0.1299007, 0, 
    0.2455561, 0.1473337, 0, 0.08430199, 0.2430052, 0.185752, 0.1746513, 
    0.1728513, 0.1712513, 0.1076874, 0.07088379, 0, 0, 0, 0.08128525, 
    0.1718495, 0.182749, 0.2100983, 0.2552969, 0.3136453, 0.3837437, 
    0.4643417, 0.5604399, 0.6704387, 0.7774884, 0.8796384, 0.985939, 1.08039, 
    1.163491, 1.235392, 1.293794, 1.333143, 1.364493, 1.396543, 1.425293, 
    1.449293, 1.468742, 1.489592, 1.512442, 1.534442, 1.553243, 1.570643, 
    1.588443, 1.605543, 1.621494, 1.637794, 1.655845, 1.672096, 1.686746, 
    1.701047, 1.714348, 1.725248, 1.733499, 1.739999, 1.744399, 1.74695, 
    1.74875, 1.7495, 1.7504, 1.7505, 1.7505, 1.7505, 1.75055, 1.75115,
  1.7525, 1.7525, 1.7501, 1.741651, 1.730502, 1.719352, 1.707503, 1.696854, 
    1.690505, 1.692905, 1.761855, 1.879005, 2.008005, 2.144356, 2.293308, 
    2.43261, 2.550513, 2.660016, 2.765469, 2.809522, 2.832274, 2.860275, 
    2.888325, 2.898825, 2.893774, 2.874723, 2.850621, 2.821069, 2.785268, 
    2.737917, 2.673167, 2.619766, 2.609265, 2.646366, 2.729867, 2.825768, 
    2.91652, 2.999221, 3.068923, 3.117373, 3.136274, 3.121574, 3.072723, 
    3.006122, 2.951272, 2.907622, 2.876022, 2.861723, 2.873024, 2.929826, 
    3.117627, 3.413927, 3.716028, 3.964577, 4.140077, 4.230677, 4.257277, 
    4.238027, 4.144528, 3.919379, 3.65328, 3.419734, 3.274738, 3.242092, 
    3.271295, 3.326746, 3.383547, 3.429746, 3.453045, 3.439594, 3.362142, 
    3.24224, 3.131037, 3.054834, 3.016232, 3.017533, 3.025532, 3.031081, 
    3.060432, 3.102733, 3.149031, 3.177482, 2.84378, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.06992866, 0.8982493, 1.352496, 
    1.330246, 1.309546, 1.290446, 1.274746, 1.260796, 1.245496, 1.229896, 
    1.215246, 1.199196, 1.182996, 1.167846, 1.155996, 1.146946, 1.143345, 
    1.146144, 1.153743, 1.162042, 1.173192, 1.195193, 1.226494, 1.263396, 
    1.304447, 1.337649, 1.358001, 1.368903, 1.378455, 1.386255, 1.385504, 
    1.376003, 1.356202, 1.331151, 1.308251, 1.291651, 1.290901, 1.30515, 
    1.324, 1.34075, 1.357499, 1.37425, 1.38925, 1.404949, 1.420249, 1.426399, 
    1.429249, 0.9279018, 0.7838454, 1.212514, 0.3548582, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.552228, 3.061037, 2.975487, 2.884335, 2.777034, 2.652084, 2.513984, 
    2.373084, 2.233085, 2.119387, 2.038738, 1.971041, 1.916294, 1.883197, 
    1.867248, 1.860398, 1.861498, 1.870798, 1.885248, 1.902148, 1.919798, 
    1.940597, 1.957497, 1.968796, 1.978495, 1.980595, 1.974745, 1.939845, 
    1.872045, 1.795094, 1.717244, 1.645345, 1.567596, 1.484846, 1.418248, 
    1.361449, 1.3313, 1.315402, 0.9791003, 0.6382447, 0.117103, 0.514493, 
    0.2311794, 0, 0, 0.07110137, 0.2110029, 0.1731012, 0.1646513, 0.1623514, 
    0.1605015, 0.1572516, 0.144999, 0.0514343, 0, 0, 0.08166958, 0.1775989, 
    0.1964971, 0.2328953, 0.2898436, 0.3607919, 0.4447398, 0.5409377, 
    0.6522355, 0.772534, 0.880734, 0.9798348, 1.080686, 1.166637, 1.240988, 
    1.304139, 1.357289, 1.398089, 1.429989, 1.45944, 1.48734, 1.51209, 
    1.532741, 1.553391, 1.574991, 1.595991, 1.613242, 1.629092, 1.643942, 
    1.657643, 1.669744, 1.681494, 1.694295, 1.704896, 1.714496, 1.723397, 
    1.731398, 1.737848, 1.742499, 1.746099, 1.74845, 1.74965, 1.75025, 
    1.7505, 1.7514, 1.7515, 1.7515, 1.75185, 1.75205, 1.7525,
  1.754, 1.7526, 1.745651, 1.732602, 1.716753, 1.701254, 1.684555, 1.669305, 
    1.658756, 1.659407, 1.728406, 1.845556, 1.971757, 2.101808, 2.24046, 
    2.364563, 2.465766, 2.557519, 2.641073, 2.664478, 2.67328, 2.692933, 
    2.717184, 2.729533, 2.730782, 2.720481, 2.707578, 2.688976, 2.662774, 
    2.623622, 2.56562, 2.517519, 2.509019, 2.543919, 2.620671, 2.706722, 
    2.787275, 2.860126, 2.921078, 2.96333, 2.97903, 2.963931, 2.91838, 
    2.857029, 2.804779, 2.761279, 2.727329, 2.70758, 2.711282, 2.758733, 
    2.936785, 3.225887, 3.524538, 3.772789, 3.948939, 4.03809, 4.062541, 
    4.041491, 3.945991, 3.717241, 3.441543, 3.191045, 3.021999, 2.967753, 
    2.980555, 3.024507, 3.078458, 3.128457, 3.157306, 3.152554, 3.091101, 
    2.989047, 2.898293, 2.841139, 2.810239, 2.807939, 2.821788, 2.829688, 
    2.855239, 2.887691, 2.930294, 2.951197, 2.633693, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7220277, 1.408194, 1.383494, 1.361244, 
    1.339594, 1.319644, 1.302994, 1.288794, 1.273544, 1.258244, 1.242744, 
    1.225495, 1.207595, 1.191545, 1.179746, 1.172845, 1.174044, 1.184892, 
    1.20149, 1.218789, 1.233837, 1.253037, 1.277238, 1.306339, 1.337791, 
    1.358993, 1.366745, 1.365048, 1.361651, 1.365402, 1.367252, 1.362801, 
    1.347501, 1.324451, 0.9798742, 0.6443959, 0.6442458, 0.6522989, 
    0.9961253, 0.8714797, 0.6797594, 0.8961831, 1.392249, 1.408649, 1.424799, 
    1.43175, 1.43375, 0.4302, 0.07172737, 0.5020916, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3159986, 3.140935, 3.070731, 2.998775, 2.901573, 2.774323, 2.634224, 
    2.494124, 2.348324, 2.223077, 2.127231, 2.038735, 1.958691, 1.907245, 
    1.884996, 1.874997, 1.874197, 1.884097, 1.900247, 1.918496, 1.936846, 
    1.959496, 1.980496, 1.996945, 2.010844, 2.014743, 2.008493, 1.972493, 
    1.906143, 1.832493, 1.756492, 1.681193, 1.597644, 1.509645, 1.437496, 
    1.373397, 1.332399, 1.305551, 0.6470013, 0.4086439, 0.5977128, 0.9943134, 
    0.4450067, 0, 0.01344487, 0.1575653, 0.1957522, 0.1677505, 0.1586506, 
    0.1557008, 0.1532509, 0.1497508, 0.1471504, 0.1245917, 0.03673597, 0, 
    0.00875334, 0.1226224, 0.2177455, 0.2670428, 0.3367401, 0.4199376, 
    0.5174849, 0.6276323, 0.7516301, 0.8805289, 0.9874792, 1.08113, 1.176431, 
    1.258831, 1.325982, 1.381584, 1.430835, 1.469936, 1.499737, 1.524988, 
    1.549439, 1.571989, 1.59049, 1.60899, 1.628891, 1.647391, 1.662492, 
    1.675842, 1.687893, 1.698243, 1.706744, 1.714545, 1.722345, 1.728346, 
    1.733747, 1.738448, 1.742498, 1.746099, 1.748249, 1.750049, 1.751, 
    1.7515, 1.75175, 1.752, 1.75245, 1.75265, 1.753, 1.75335, 1.75395, 1.754,
  1.756, 1.75215, 1.740201, 1.722402, 1.701753, 1.681455, 1.660056, 1.640257, 
    1.625757, 1.624208, 1.692958, 1.809959, 1.933259, 2.05796, 2.185863, 
    2.296016, 2.38077, 2.455024, 2.517228, 2.520783, 2.513787, 2.52114, 
    2.539042, 2.551592, 2.55879, 2.557938, 2.556685, 2.550982, 2.536779, 
    2.509276, 2.461873, 2.420271, 2.413271, 2.444422, 2.513074, 2.589027, 
    2.659029, 2.722032, 2.773734, 2.808985, 2.820536, 2.805136, 2.763385, 
    2.706434, 2.656784, 2.613083, 2.576684, 2.552085, 2.549037, 2.587638, 
    2.754142, 3.030195, 3.318798, 3.559801, 3.730503, 3.814904, 3.834806, 
    3.810957, 3.714607, 3.486106, 3.207806, 2.948407, 2.764509, 2.694962, 
    2.695065, 2.729816, 2.782217, 2.835965, 2.871564, 2.876361, 2.831558, 
    2.752752, 2.682797, 2.639795, 2.610895, 2.604646, 2.620046, 2.630895, 
    2.655495, 2.675748, 2.697054, 2.696661, 2.402554, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.07936359, 0.7898876, 0.7741448, 0.758402, 
    1.396758, 1.443141, 1.419741, 1.397741, 1.375591, 1.354841, 1.337741, 
    1.323441, 1.308091, 1.292941, 1.276242, 1.256742, 1.235643, 1.217394, 
    1.205494, 1.200943, 1.207842, 1.228439, 1.255487, 1.283584, 1.308481, 
    1.331879, 1.354729, 1.380729, 1.40648, 1.417182, 1.411485, 1.396338, 
    1.378941, 1.373194, 1.372246, 1.367796, 1.350798, 1.127439, 0.3274001, 0, 
    0, 0, 0.3339031, 0.2003418, 0, 0.2082955, 0.6973196, 0.7055734, 1.356882, 
    1.4333, 1.075664, 0.2151987, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1599233, 2.075557, 
    3.177974, 3.139565, 3.058861, 2.926262, 2.782464, 2.641114, 2.490865, 
    2.353518, 2.238722, 2.125328, 2.014136, 1.939791, 1.910743, 1.896044, 
    1.892745, 1.901595, 1.918245, 1.936996, 1.955846, 1.979445, 2.004245, 
    2.027292, 2.045792, 2.052391, 1.530977, 0.9952062, 1.844336, 1.87344, 
    1.799989, 1.72304, 1.633691, 1.540442, 1.462743, 1.391695, 1.339947, 
    1.3026, 0.9463611, 0.9882717, 1.06586, 0.813267, 0.213848, 0, 0.1768812, 
    0.2436523, 0.1907497, 0.1662001, 0.1561005, 0.1520507, 0.1495007, 
    0.1469503, 0.14605, 0.1465999, 0.112732, 0.02323934, 0.009795506, 
    0.1345676, 0.2397453, 0.3039417, 0.3886381, 0.398175, 0.2786277, 
    0.6180756, 0.8600241, 0.9945731, 1.099224, 1.187075, 1.276227, 1.355028, 
    1.41498, 1.463382, 1.505384, 1.538235, 1.563486, 1.584537, 1.604988, 
    1.624389, 1.64024, 1.65609, 1.673341, 1.688642, 1.700742, 1.711093, 
    1.719944, 1.727345, 1.732495, 1.736946, 1.740897, 1.743597, 1.745998, 
    1.748048, 1.749549, 1.751149, 1.751999, 1.752849, 1.753, 1.753, 1.75325, 
    1.75385, 1.754, 1.7543, 1.755, 1.755349, 1.755949, 1.756,
  1.757999, 1.7517, 1.735101, 1.711703, 1.686754, 1.662155, 1.636006, 
    1.611358, 1.593509, 1.589659, 1.65606, 1.771361, 1.891512, 2.010613, 
    2.127766, 2.22412, 2.292774, 2.349529, 2.391584, 2.378238, 2.355292, 
    2.349146, 2.359398, 2.370848, 2.383047, 2.391745, 2.401842, 2.409139, 
    2.407785, 2.393482, 2.358528, 2.324476, 2.320025, 2.347076, 2.406528, 
    2.471831, 2.531534, 2.585286, 2.627939, 2.65679, 2.664541, 2.649191, 
    2.61189, 2.560138, 2.514287, 2.471587, 2.432737, 2.405038, 2.396789, 
    2.427041, 2.579945, 2.83855, 3.108306, 3.332912, 3.490717, 3.56532, 
    3.577822, 3.550424, 3.453923, 3.229472, 2.95582, 2.698267, 2.509468, 
    2.432069, 2.423071, 2.451872, 2.502622, 2.560321, 2.60207, 2.616867, 
    2.590612, 2.536556, 2.484301, 2.453397, 2.427546, 2.417197, 2.428048, 
    2.440999, 2.466448, 2.117543, 1.880874, 2.45226, 1.2593, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.810001, 1.592144, 1.562493, 1.533891, 
    1.50749, 1.482439, 1.460489, 1.439238, 1.417488, 1.396338, 1.379488, 
    1.365438, 1.349988, 1.333788, 1.315489, 1.29264, 1.267241, 1.246392, 
    1.234742, 1.232891, 1.246589, 1.277636, 1.315983, 1.357129, 1.396675, 
    1.430221, 1.457969, 1.486418, 1.511717, 1.51237, 1.493473, 1.465477, 
    1.43443, 1.415934, 1.407736, 1.397089, 1.301979, 0.4664498, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.6440449, 0.7173842, 0.3586921, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.4853599, 2.453669, 3.280715, 3.21996, 3.082361, 2.935711, 
    2.79291, 2.64136, 2.495412, 2.362966, 2.224222, 2.08188, 1.983487, 
    1.947738, 1.92739, 1.919791, 1.925642, 1.939744, 1.956645, 1.975445, 
    2.000094, 2.028744, 2.059491, 2.084139, 2.094188, 1.046744, 0, 1.786988, 
    1.921036, 1.850486, 1.771886, 1.677187, 1.578439, 1.49499, 1.417492, 
    1.355695, 1.310596, 1.250999, 1.155702, 1.037803, 0.6622027, 0.1676601, 
    0.2870461, 0.3563843, 0.2415985, 0.1927493, 0.16595, 0.1541505, 
    0.1495505, 0.1475003, 0.1461501, 0.14605, 0.1475496, 0.1534992, 0.106218, 
    0.1045545, 0.210947, 0.2597448, 0.3403901, 0.4430847, 0.3692363, 0, 
    0.601279, 0.9748188, 1.112468, 1.21347, 1.294172, 1.375174, 1.445577, 
    1.497729, 1.538331, 1.572933, 1.599385, 1.619486, 1.636437, 1.652988, 
    1.668639, 1.68149, 1.694341, 1.707442, 1.719243, 1.727994, 1.735345, 
    1.741396, 1.745746, 1.748497, 1.750197, 1.751898, 1.752648, 1.753249, 
    1.753849, 1.754049, 1.754499, 1.754749, 1.754999, 1.754999, 1.755, 
    1.755249, 1.755849, 1.75605, 1.756649, 1.757249, 1.757849, 1.758449, 
    1.758499,
  1.759999, 1.75195, 1.731101, 1.703152, 1.674003, 1.645205, 1.614506, 
    1.585457, 1.564508, 1.558609, 1.62056, 1.730813, 1.846264, 1.958916, 
    2.06552, 2.147524, 2.201029, 2.241583, 2.264589, 2.236943, 2.200797, 
    2.1825, 2.183803, 2.192654, 2.208303, 2.225001, 2.245848, 2.264645, 
    2.275541, 2.274187, 2.252233, 2.22683, 2.225779, 2.24993, 2.300932, 
    2.356085, 2.406788, 2.45189, 2.486492, 2.508894, 2.513795, 2.498745, 
    2.465544, 2.419992, 2.37879, 2.338639, 2.299789, 2.271588, 2.260039, 
    2.283491, 2.421546, 2.657753, 2.901063, 3.099572, 3.23563, 3.294836, 
    3.297839, 3.26724, 3.172039, 2.956836, 2.69558, 2.449725, 2.266172, 
    2.187721, 2.173073, 2.197274, 2.245425, 2.304575, 2.351324, 2.376021, 
    2.369165, 2.33626, 2.299555, 2.281751, 2.2607, 2.247401, 2.250553, 
    1.500271, 1.188828, 0.8324602, 1.13328, 1.495968, 0.1165714, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4162446, 0.8296909, 1.554243, 1.615843, 
    1.59174, 1.568689, 1.546487, 1.525036, 1.505485, 1.485935, 1.465384, 
    1.444634, 1.428484, 1.414434, 1.398884, 1.381484, 1.360235, 1.332337, 
    1.301439, 1.27759, 1.265491, 1.26634, 1.287338, 1.329334, 1.378981, 
    1.434576, 1.491521, 1.540065, 1.578961, 1.616457, 1.647454, 1.639306, 
    1.610209, 1.571662, 1.528465, 1.498368, 1.480471, 1.457676, 0.6985869, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.695486, 3.398317, 3.351165, 3.214164, 3.069213, 2.928812, 2.779861, 
    2.629062, 2.483215, 2.32407, 2.155477, 2.039681, 1.996983, 1.970735, 
    1.956937, 1.957939, 1.966491, 1.978193, 1.995544, 2.020744, 2.053492, 
    2.09254, 1.266564, 2.139086, 1.070242, 0.741545, 1.941219, 1.976931, 
    1.90973, 1.829581, 1.730582, 1.626883, 1.538484, 1.454986, 1.384938, 
    1.33359, 1.265992, 1.162694, 0.9919248, 0.3288516, 0.3397474, 0.5835944, 
    0.3936951, 0.241252, 0.1887532, 0.164251, 0.1532, 0.1485501, 0.1467502, 
    0.146, 0.1466497, 0.149849, 0.1577483, 0.1694978, 0.1926981, 0.2223465, 
    0.2844908, 0.3837347, 0.4745482, 0.3134, 0.1931315, 0.6842232, 1.096511, 
    1.233462, 1.326965, 1.397369, 1.468622, 1.529475, 1.573478, 1.60628, 
    1.633032, 1.653035, 1.667986, 1.680838, 1.693439, 1.70474, 1.713991, 
    1.723243, 1.731944, 1.739495, 1.745246, 1.749597, 1.752898, 1.754948, 
    1.756249, 1.756499, 1.756949, 1.756999, 1.756999, 1.756999, 1.756999, 
    1.756999, 1.756999, 1.756999, 1.757449, 1.757499, 1.757749, 1.758349, 
    1.758599, 1.759499, 1.759999, 1.760499, 1.761399, 1.761499,
  1.762999, 1.753899, 1.7301, 1.698901, 1.666252, 1.633253, 1.598505, 
    1.565706, 1.542006, 1.534057, 1.589959, 1.692163, 1.800765, 1.905169, 
    2.000872, 2.069876, 2.11103, 2.138184, 2.144989, 2.105392, 2.059046, 
    2.030199, 2.022152, 2.026704, 2.042555, 2.063304, 2.090503, 2.118201, 
    2.140048, 2.151044, 2.141639, 2.126186, 2.129034, 2.151834, 2.196286, 
    2.242789, 2.286041, 2.323344, 2.350496, 2.366498, 2.369049, 2.355149, 
    2.325847, 2.287644, 2.252542, 2.21674, 2.181688, 2.155887, 2.144036, 
    2.162987, 2.283844, 2.490056, 2.698319, 2.862133, 2.967395, 3.007202, 
    2.999856, 2.965907, 2.875405, 2.677247, 2.439587, 2.216277, 2.04812, 
    1.975266, 1.957317, 1.976469, 2.020521, 2.077872, 2.127072, 2.157721, 
    2.163918, 2.148163, 2.125558, 2.118705, 2.101554, 2.086454, 1.582402, 
    0.3249744, 0.1002806, 1.000858, 1.04078, 1.005155, 0.9537404, 0.6522989, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2536246, 1.260454, 1.670243, 1.658142, 
    1.641141, 1.623739, 1.605987, 1.588435, 1.571084, 1.554982, 1.537831, 
    1.518931, 1.50008, 1.484979, 1.470579, 1.45438, 1.43588, 1.410732, 
    1.376834, 1.339986, 1.311338, 1.297489, 1.300088, 1.327087, 1.379033, 
    1.43998, 1.510374, 1.585968, 1.652761, 1.707955, 1.760349, 1.803544, 
    1.791294, 1.755946, 1.710098, 1.6585, 1.620252, 1.592955, 0.9958968, 
    0.07445142, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.860094, 2.96009, 3.444674, 3.313122, 3.174719, 3.039466, 
    2.895065, 2.743414, 2.589466, 2.417669, 2.233871, 2.107874, 2.057977, 
    2.025229, 2.004931, 1.999134, 2.000487, 2.00464, 2.017242, 2.041393, 
    2.078491, 1.37236, 0.2141979, 1.414467, 1.649108, 1.837206, 2.105978, 
    2.042326, 1.979224, 1.898974, 1.797075, 1.690625, 1.598726, 1.511027, 
    1.43348, 1.374882, 1.301984, 1.192337, 0.9657401, 0, 0.3524941, 0.610138, 
    0.4169894, 0.2421971, 0.1425283, 0.1397658, 0.1576469, 0.1531967, 
    0.152246, 0.1523456, 0.1546948, 0.1602939, 0.1694938, 0.1811444, 
    0.2094905, 0.2516337, 0.3334765, 0.4527695, 0.5249172, 0.2510867, 
    0.6795473, 0.9339576, 1.228153, 1.357657, 1.437713, 1.495017, 1.555621, 
    1.606575, 1.641478, 1.666581, 1.685633, 1.699185, 1.708987, 1.717389, 
    1.72589, 1.732842, 1.738243, 1.743294, 1.747946, 1.751897, 1.754998, 
    1.757048, 1.758448, 1.759149, 1.759499, 1.759499, 1.759499, 1.759499, 
    1.759499, 1.759499, 1.759499, 1.759499, 1.759499, 1.759499, 1.760399, 
    1.760499, 1.760499, 1.761199, 1.761599, 1.762499, 1.762999, 1.763849, 
    1.764499, 1.764999,
  1.766998, 1.757198, 1.731599, 1.698299, 1.663, 1.627001, 1.589002, 
    1.553103, 1.527254, 1.517854, 1.567807, 1.66106, 1.761014, 1.855367, 
    1.940322, 1.998625, 2.030778, 2.048231, 2.043685, 1.994938, 1.94079, 
    1.903093, 1.886796, 1.885798, 1.8988, 1.91915, 1.94815, 1.980499, 
    2.010796, 2.032693, 2.036088, 2.031983, 2.039531, 2.061431, 2.099734, 
    2.138487, 2.17429, 2.203444, 2.221648, 2.230501, 2.229053, 2.216753, 
    2.193199, 2.164895, 2.138541, 2.110437, 2.082734, 2.06408, 2.056028, 
    2.073178, 2.171038, 2.338255, 2.503822, 2.627738, 2.697852, 2.71671, 
    2.699613, 2.662914, 2.581809, 2.412795, 2.210829, 2.021465, 1.878053, 
    1.8139, 1.7943, 1.807603, 1.844407, 1.894161, 1.938815, 1.967367, 
    1.978517, 1.976562, 1.968556, 1.972451, 1.961398, 1.666113, 0.5006348, 0, 
    0.9479247, 1.936701, 1.422422, 1.588724, 1.842801, 1.512391, 0.4211757, 
    0, 0, 0, 0, 0, 0, 0.2380167, 0.8021324, 0.2432627, 0, 0.510298, 1.697993, 
    1.690792, 1.681291, 1.669139, 1.657487, 1.645134, 1.632483, 1.620131, 
    1.607979, 1.594427, 1.578026, 1.562025, 1.547975, 1.533225, 1.516325, 
    1.496426, 1.467977, 1.427979, 1.384482, 1.349784, 1.332985, 1.335786, 
    1.366785, 1.426582, 1.498228, 1.582823, 1.677615, 1.765707, 1.840698, 
    1.91184, 1.971283, 1.960482, 1.923432, 1.874832, 1.819932, 1.777383, 
    1.290533, 0.24709, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.4379628, 0.729938, 0, 0, 0, 0, 2.486386, 3.510028, 3.384526, 
    3.255473, 3.129918, 2.995462, 2.845661, 2.687962, 2.511363, 2.322613, 
    2.188916, 2.131719, 2.092371, 2.064825, 2.050378, 2.043232, 2.039235, 
    2.043539, 2.063591, 2.10424, 0.6388465, 0, 0.3331061, 1.677915, 2.224474, 
    2.175322, 2.11587, 2.057718, 1.979267, 1.876217, 1.769517, 1.674968, 
    1.58322, 1.497324, 1.433774, 1.356475, 1.239628, 1.001483, 0, 0.372741, 
    0.6481841, 0.4287028, 0.1232948, 0.05078904, 0.05849497, 0.0901554, 
    0.169641, 0.1704904, 0.1723895, 0.1771885, 0.1864367, 0.197985, 
    0.2067366, 0.2473814, 0.3104229, 0.4124654, 0.5512581, 0.6288066, 
    0.2929326, 1.048442, 1.214942, 1.366696, 1.481503, 1.54396, 1.586116, 
    1.634621, 1.674676, 1.70023, 1.717033, 1.728236, 1.735338, 1.74024, 
    1.744442, 1.748893, 1.752094, 1.754495, 1.756546, 1.758447, 1.759947, 
    1.761248, 1.761848, 1.762898, 1.762998, 1.762998, 1.762999, 1.762998, 
    1.762998, 1.762998, 1.762999, 1.762998, 1.762998, 1.762998, 1.762999, 
    1.763449, 1.763649, 1.763999, 1.764349, 1.764998, 1.765649, 1.766499, 
    1.767698, 1.768098, 1.768998,
  1.770998, 1.761198, 1.734648, 1.700349, 1.663249, 1.62545, 1.585051, 
    1.547001, 1.519252, 1.508653, 1.553605, 1.638308, 1.729262, 1.813916, 
    1.88892, 1.938973, 1.964775, 1.976576, 1.964929, 1.911379, 1.85278, 
    1.809582, 1.786334, 1.779387, 1.789038, 1.807789, 1.83629, 1.870389, 
    1.905538, 1.936135, 1.95258, 1.961524, 1.97602, 1.99647, 2.026225, 
    2.05523, 2.081534, 2.100489, 2.107245, 2.10575, 2.097054, 2.084854, 
    2.0698, 2.052895, 2.03829, 2.021584, 2.006278, 1.999972, 2.000766, 
    2.018366, 2.091076, 2.215494, 2.336313, 2.41933, 2.456992, 2.455501, 
    2.430354, 2.391205, 2.322999, 2.190983, 2.031065, 1.882347, 1.771681, 
    1.721523, 1.705769, 1.713122, 1.738527, 1.773635, 1.808539, 1.83294, 
    1.845789, 1.850639, 1.849789, 1.857691, 1.765514, 0.6624113, 0, 
    0.6287662, 1.744259, 1.82309, 1.800541, 1.769591, 1.72979, 1.674588, 
    1.208939, 0.7566077, 0.1457263, 0.4962288, 0, 0.5175607, 0.7560082, 
    1.01869, 1.607998, 1.069006, 0.8466813, 1.116488, 1.716742, 1.711691, 
    1.705439, 1.698488, 1.691986, 1.684784, 1.676981, 1.66918, 1.661478, 
    1.652026, 1.639474, 1.626173, 1.612723, 1.598572, 1.581772, 1.561272, 
    1.530972, 1.485624, 1.435527, 1.395079, 1.374231, 1.375082, 1.408032, 
    1.47418, 1.555226, 1.653071, 1.767362, 1.878602, 1.975693, 2.069282, 
    2.149572, 2.153512, 2.120658, 2.076255, 2.025501, 1.673612, 0.461391, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1196484, 
    1.669477, 2.097959, 1.49658, 1.616378, 1.695511, 1.763003, 3.059029, 
    3.564778, 3.443776, 3.324721, 3.211267, 3.089911, 2.945658, 2.788207, 
    2.612555, 2.422306, 2.282608, 2.218211, 2.171314, 2.134768, 2.110323, 
    2.093228, 2.079632, 2.073737, 2.08699, 1.5872, 0.3220229, 0, 0, 1.152738, 
    2.288674, 2.246121, 2.191069, 2.137717, 2.063715, 1.96551, 1.861009, 
    1.76421, 1.668111, 1.573964, 1.508415, 1.426468, 1.297275, 1.040535, 0, 
    0.3882468, 0.673596, 0.4241507, 0, 0, 0, 0.009057675, 0.1248979, 
    0.2064801, 0.2104294, 0.2184277, 0.2343741, 0.2487235, 0.253625, 
    0.3071199, 0.3902622, 0.5107048, 0.6675475, 0.4346128, 0.5293186, 
    0.9006896, 1.366635, 1.506791, 1.602749, 1.645708, 1.670466, 1.704173, 
    1.731628, 1.747483, 1.755636, 1.759339, 1.760641, 1.761243, 1.762194, 
    1.763445, 1.764146, 1.764746, 1.764997, 1.765448, 1.765648, 1.765998, 
    1.765998, 1.766449, 1.766499, 1.766499, 1.766499, 1.766499, 1.766499, 
    1.766499, 1.766499, 1.766499, 1.766499, 1.766499, 1.766848, 1.766998, 
    1.767148, 1.767749, 1.767998, 1.768948, 1.769648, 1.770498, 1.771698, 
    1.772098, 1.772998,
  1.774998, 1.765198, 1.738548, 1.703049, 1.664999, 1.6259, 1.583151, 
    1.543552, 1.514252, 1.502802, 1.542555, 1.619558, 1.701762, 1.778016, 
    1.845069, 1.889421, 1.912022, 1.921672, 1.906872, 1.854521, 1.79577, 
    1.75067, 1.723321, 1.711972, 1.718773, 1.736074, 1.762475, 1.796376, 
    1.832776, 1.869174, 1.896669, 1.917915, 1.940012, 1.960361, 1.979666, 
    1.995723, 2.009779, 2.015786, 2.008293, 1.994149, 1.978302, 1.963853, 
    1.955202, 1.951345, 1.951038, 1.949679, 1.95207, 1.961712, 1.975256, 
    1.995804, 2.047662, 2.134128, 2.215294, 2.264606, 2.276466, 2.258872, 
    2.227075, 2.185826, 2.128722, 2.031857, 1.913038, 1.801574, 1.718915, 
    1.684459, 1.673509, 1.67656, 1.692263, 1.714767, 1.741519, 1.76477, 
    1.781817, 1.791712, 1.79276, 1.800808, 0.9062234, 0, 0, 0.6298836, 
    1.678855, 1.746977, 1.722278, 1.691278, 1.653327, 1.600976, 1.549524, 
    1.494219, 0.8606219, 1.20905, 0.722829, 1.257794, 1.518745, 1.567894, 
    1.616744, 1.659293, 1.702942, 1.73129, 1.737989, 1.735587, 1.733386, 
    1.730384, 1.727733, 1.724731, 1.721429, 1.717577, 1.713476, 1.707275, 
    1.698324, 1.686973, 1.674972, 1.662621, 1.64722, 1.627269, 1.59622, 
    1.547321, 1.491573, 1.445875, 1.420478, 1.41783, 1.45078, 1.521328, 
    1.610225, 1.72012, 1.853611, 1.988301, 2.10844, 2.226129, 2.332116, 
    2.362703, 2.340646, 2.308089, 2.152591, 0.7416372, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2308081, 2.371686, 
    2.645334, 2.945197, 3.234501, 3.409735, 3.555226, 3.64717, 3.626567, 
    3.508616, 3.396215, 3.291862, 3.180808, 3.045154, 2.89395, 2.723496, 
    2.533895, 2.388947, 2.317201, 2.261555, 2.21466, 2.178616, 2.150471, 
    2.125827, 2.108332, 2.112587, 1.062244, 0, 0, 0, 1.179239, 2.346924, 
    2.311571, 2.262418, 2.214465, 2.147611, 2.059356, 1.962251, 1.8662, 
    1.7684, 1.667153, 1.599953, 1.509458, 1.361568, 1.083676, 0, 0.3992433, 
    0.4613014, 0.2118463, 0, 0, 0, 0, 0.07784124, 0.2617206, 0.26712, 
    0.2799672, 0.3023653, 0.3189638, 0.3212146, 0.3864594, 0.4889498, 
    0.6259425, 0.4786828, 0.5166407, 0.3720447, 0.711468, 1.50799, 1.631099, 
    1.70571, 1.730717, 1.74312, 1.761427, 1.775933, 1.781487, 1.781441, 
    1.778943, 1.775745, 1.773247, 1.771797, 1.771448, 1.770998, 1.770998, 
    1.770648, 1.770048, 1.769998, 1.769998, 1.769998, 1.769998, 1.769998, 
    1.769998, 1.769998, 1.769998, 1.769998, 1.769998, 1.769998, 1.769998, 
    1.769998, 1.770248, 1.770848, 1.770998, 1.771148, 1.771748, 1.772348, 
    1.773048, 1.773998, 1.774498, 1.775698, 1.776498, 1.776998,
  1.778998, 1.769198, 1.742049, 1.706498, 1.669996, 1.631745, 1.589592, 
    1.549742, 1.519243, 1.506943, 1.541046, 1.61045, 1.683505, 1.750261, 
    1.808266, 1.84637, 1.866772, 1.876671, 1.863269, 1.816866, 1.762762, 
    1.718811, 1.69041, 1.678659, 1.684509, 1.700859, 1.724861, 1.755114, 
    1.790015, 1.828765, 1.863762, 1.893459, 1.919258, 1.939459, 1.951062, 
    1.955466, 1.954524, 1.945182, 1.924937, 1.90179, 1.881541, 1.864792, 
    1.858841, 1.866487, 1.88103, 1.899069, 1.923157, 1.949799, 1.975244, 
    2.002439, 2.041943, 2.101303, 2.153764, 2.180673, 2.174431, 2.146185, 
    2.108788, 2.065789, 2.013388, 1.942329, 1.855017, 1.770855, 1.706247, 
    1.680594, 1.67374, 1.676339, 1.685942, 1.702894, 1.725495, 1.747746, 
    1.767347, 1.781846, 1.339197, 0.8969026, 0.0898404, 0, 0, 0, 1.559306, 
    1.710857, 1.684508, 1.653957, 1.618805, 1.570002, 1.522251, 1.474499, 
    1.437293, 1.43499, 1.457989, 1.491488, 1.535738, 1.585738, 1.633989, 
    1.675941, 1.72144, 1.752239, 1.761488, 1.762337, 1.763435, 1.763984, 
    1.764232, 1.76483, 1.765428, 1.765027, 1.762976, 1.758825, 1.751825, 
    1.742574, 1.732723, 1.721822, 1.708621, 1.69007, 1.659469, 1.60857, 
    1.548572, 1.498174, 1.467976, 1.461578, 1.493029, 1.565879, 1.660476, 
    1.780622, 1.931913, 2.089502, 2.23269, 2.374129, 2.507565, 2.567399, 
    2.562639, 2.549827, 2.286126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1111619, 1.140898, 1.278537, 1.448758, 
    3.09449, 3.447578, 3.614966, 3.722857, 3.706905, 3.589405, 3.479454, 
    3.379303, 3.275301, 3.147747, 3.004943, 2.842189, 2.655837, 2.506139, 
    2.426693, 2.361598, 2.303054, 2.254411, 2.214717, 2.178173, 2.147529, 
    1.817462, 0.5347882, 0, 0, 0, 1.203238, 2.398426, 2.370522, 2.328419, 
    2.286965, 2.228711, 2.151455, 2.065699, 1.975195, 1.878394, 1.773794, 
    1.707243, 1.609445, 1.449696, 1.153356, 0, 0.2034547, 0.1220729, 0, 0, 0, 
    0, 0, 0.09748972, 0.3274657, 0.3359133, 0.3539111, 0.3819575, 0.4067009, 
    0.4121968, 0.4903894, 0.6136289, 0.7656717, 0.2513758, 0.4256283, 
    0.225073, 1.153839, 1.63164, 1.732652, 1.784664, 1.794222, 1.800974, 
    1.80653, 1.807887, 1.80449, 1.798293, 1.790995, 1.784147, 1.779747, 
    1.777097, 1.775998, 1.775348, 1.774998, 1.774998, 1.774547, 1.774497, 
    1.774497, 1.774497, 1.774497, 1.774497, 1.774497, 1.774497, 1.774497, 
    1.774497, 1.774497, 1.774497, 1.774497, 1.774497, 1.774748, 1.774998, 
    1.775048, 1.775648, 1.775998, 1.776698, 1.777098, 1.778148, 1.778748, 
    1.779698, 1.780898, 1.780998,
  1.782498, 1.772698, 1.745698, 1.712546, 1.679744, 1.644842, 1.60604, 
    1.568238, 1.537987, 1.525237, 1.553441, 1.613747, 1.675503, 1.73061, 
    1.777965, 1.808819, 1.82652, 1.83687, 1.827668, 1.790762, 1.745506, 
    1.706902, 1.681998, 1.674095, 1.680994, 1.696295, 1.716597, 1.740401, 
    1.771004, 1.807907, 1.845257, 1.877608, 1.903009, 1.920361, 1.927463, 
    1.925066, 1.914268, 1.89472, 1.866573, 1.838526, 1.815777, 1.798976, 
    1.796174, 1.811869, 1.838264, 1.872359, 1.914402, 1.955795, 1.992238, 
    2.027983, 2.066581, 2.111486, 2.146243, 2.160347, 2.144599, 2.110251, 
    2.069003, 2.023205, 1.970256, 1.910354, 1.841247, 1.77459, 1.721437, 
    1.703182, 1.703229, 1.709925, 1.718623, 1.735222, 1.756971, 1.778021, 
    1.705122, 0.8936712, 0.4482371, 0, 0, 0, 0, 0, 1.556447, 1.706047, 
    1.679248, 1.649997, 1.617346, 1.571746, 1.526494, 1.48439, 1.456836, 
    1.459234, 1.484233, 1.518333, 1.562284, 1.611785, 1.657986, 1.697187, 
    1.741989, 1.773538, 1.784737, 1.788586, 1.792484, 1.796083, 1.799231, 
    1.80273, 1.806329, 1.807978, 1.807477, 1.804876, 1.799376, 1.792175, 
    1.784224, 1.774523, 1.763122, 1.746521, 1.71722, 1.66587, 1.602622, 
    1.548773, 1.514725, 1.504827, 1.533229, 1.60553, 1.70198, 1.828878, 
    1.994821, 2.173261, 2.33795, 2.502638, 2.662673, 2.753606, 2.773141, 
    2.789872, 2.527721, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7080289, 0, 0, 0, 1.479208, 2.280145, 3.677718, 
    3.801211, 3.790408, 3.67106, 3.562709, 3.464508, 3.365455, 3.245851, 
    3.111446, 2.95814, 2.778934, 2.628832, 2.541687, 2.467142, 2.396098, 
    2.335055, 2.283461, 2.233969, 2.190176, 1.520386, 0, 0, 0, 0, 1.226737, 
    2.445775, 2.421874, 2.388069, 2.353715, 2.30431, 2.238354, 2.163249, 
    2.081694, 1.98964, 1.886538, 1.821538, 1.720689, 1.559988, 1.247146, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.1187879, 0.3987095, 0.4112577, 0.4345543, 
    0.4698503, 0.5074434, 0.527532, 0.6220722, 0.7637135, 0.6557045, 
    0.1378498, 0.6292647, 1.0019, 1.625681, 1.742494, 1.817509, 1.848719, 
    1.845725, 1.845529, 1.840535, 1.83029, 1.819993, 1.809695, 1.799097, 
    1.790347, 1.784997, 1.781748, 1.780098, 1.779848, 1.779248, 1.778998, 
    1.778998, 1.778998, 1.778998, 1.778998, 1.778998, 1.778998, 1.778998, 
    1.778998, 1.778998, 1.778998, 1.778998, 1.778998, 1.778998, 1.778998, 
    1.778998, 1.778998, 1.779497, 1.779998, 1.779998, 1.780698, 1.781098, 
    1.782148, 1.782748, 1.783698, 1.784498, 1.784998,
  1.785998, 1.776198, 1.751795, 1.722942, 1.69399, 1.662588, 1.626986, 
    1.591535, 1.562734, 1.548986, 1.57004, 1.61715, 1.665259, 1.708116, 
    1.744722, 1.769226, 1.784777, 1.795427, 1.791673, 1.766915, 1.733757, 
    1.704801, 1.687896, 1.685842, 1.69474, 1.70924, 1.724544, 1.741747, 
    1.765751, 1.797455, 1.832707, 1.863309, 1.88626, 1.899063, 1.901516, 
    1.895168, 1.88102, 1.858121, 1.825123, 1.792925, 1.769026, 1.754574, 
    1.757819, 1.782114, 1.818258, 1.863152, 1.917894, 1.972586, 2.021478, 
    2.066872, 2.112716, 2.153866, 2.181217, 2.190718, 2.173067, 2.137267, 
    2.092969, 2.043072, 1.987274, 1.927176, 1.864726, 1.804026, 1.752778, 
    1.738628, 1.742977, 1.756422, 1.76937, 1.786571, 1.807222, 1.178682, 
    0.8206083, 0, 0, 0, 0, 0, 0, 0, 1.556753, 1.704754, 1.677505, 1.649554, 
    1.617903, 1.574152, 1.533748, 1.499293, 1.480238, 1.489432, 1.517479, 
    1.551479, 1.59413, 1.640383, 1.682986, 1.719638, 1.762188, 1.793989, 
    1.807487, 1.814335, 1.820984, 1.827182, 1.832481, 1.83778, 1.84283, 
    1.845929, 1.846729, 1.845428, 1.841827, 1.835976, 1.829226, 1.821075, 
    1.812172, 1.798321, 1.76997, 1.71887, 1.65402, 1.597022, 1.559974, 
    1.546377, 1.57008, 1.636186, 1.72849, 1.855792, 2.030739, 2.225431, 
    2.40972, 2.596108, 2.780844, 2.899181, 2.949411, 2.999642, 2.741538, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3381042, 
    0.7286471, 0.7847407, 0, 0, 0, 0, 0.5446861, 1.855667, 1.920593, 
    3.650259, 3.724181, 3.619727, 3.526823, 3.434617, 3.324411, 3.200954, 
    3.059996, 2.893187, 2.749132, 2.655935, 2.57219, 2.489197, 2.416703, 
    2.353709, 2.291766, 2.236322, 1.547683, 0, 0, 0, 0, 1.248488, 2.487878, 
    2.466176, 2.439074, 2.410721, 2.368368, 2.310315, 2.242862, 2.169957, 
    2.085503, 1.987698, 1.922649, 1.820948, 1.662197, 1.335405, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.1426351, 0.4784503, 0.495447, 0.5259922, 0.5682883, 
    0.6174322, 0.6581703, 0.7700607, 0.9256037, 0.5097006, 0, 1.329369, 
    1.623569, 1.74843, 1.841794, 1.88906, 1.901871, 1.890225, 1.881031, 
    1.867685, 1.850737, 1.837237, 1.825836, 1.815684, 1.808632, 1.80423, 
    1.80123, 1.79953, 1.79883, 1.797981, 1.797131, 1.796432, 1.795333, 
    1.794235, 1.792786, 1.790988, 1.789191, 1.787742, 1.786294, 1.785445, 
    1.784346, 1.783747, 1.783147, 1.782998, 1.782998, 1.782998, 1.782998, 
    1.783498, 1.783998, 1.783998, 1.784348, 1.784998, 1.785648, 1.786248, 
    1.787198, 1.787598, 1.788498,
  1.789997, 1.781945, 1.762741, 1.738988, 1.714235, 1.686683, 1.653881, 
    1.619681, 1.590981, 1.574184, 1.584192, 1.614753, 1.647513, 1.676772, 
    1.70163, 1.719834, 1.733036, 1.744835, 1.74768, 1.736521, 1.717512, 
    1.700954, 1.693797, 1.698743, 1.710241, 1.724191, 1.734994, 1.745798, 
    1.762503, 1.787607, 1.817811, 1.845064, 1.864516, 1.873118, 1.871171, 
    1.862222, 1.846272, 1.821923, 1.787522, 1.753122, 1.728773, 1.717021, 
    1.728316, 1.76201, 1.808004, 1.862749, 1.924898, 1.986547, 2.043246, 
    2.095394, 2.150339, 2.195884, 2.223483, 2.233931, 2.220076, 2.193565, 
    2.154706, 2.1071, 2.053595, 1.989697, 1.926449, 1.865299, 1.810252, 
    1.790509, 1.788718, 1.162973, 0.898723, 0.9070334, 0.9166454, 0.2761951, 
    0, 0, 0, 0, 0.0908362, 0.9062647, 0.8936305, 0.8771511, 1.638594, 
    1.697754, 1.670504, 1.642904, 1.612054, 1.571651, 1.538496, 1.513389, 
    1.505132, 1.523127, 1.554726, 1.589125, 1.630426, 1.672977, 1.712228, 
    1.74658, 1.78823, 1.820429, 1.835479, 1.844228, 1.853027, 1.861926, 
    1.869224, 1.875474, 1.881323, 1.885223, 1.887222, 1.886772, 1.884771, 
    1.88027, 1.874969, 1.869317, 1.864064, 1.852614, 1.825213, 1.774013, 
    1.707864, 1.647616, 1.606469, 1.587024, 1.602331, 1.657139, 1.740745, 
    1.863199, 2.04015, 2.244696, 2.444988, 2.649478, 2.856665, 2.998699, 
    3.078933, 3.156369, 3.075851, 1.184316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.1809733, 0.9668869, 1.43518, 0.148003, 0, 0, 0, 
    0, 0, 0, 0, 1.924887, 3.73201, 3.635754, 3.553146, 3.471439, 3.374579, 
    3.26447, 3.138959, 2.990795, 2.858736, 2.764434, 2.672938, 2.578795, 
    2.495502, 2.421459, 2.347766, 2.167865, 0.7821774, 0, 0, 0, 0, 0.6300373, 
    1.254818, 2.378086, 2.482774, 2.45922, 2.423066, 2.369863, 2.30751, 
    2.241706, 2.165051, 2.075745, 1.710121, 0.9336667, 0.8548682, 0.6878595, 
    0, 0, 0, 0, 0, 0, 0, 0.02891378, 0.3678339, 0.5564556, 0.5817487, 
    0.6239893, 0.6770799, 0.7374225, 0.7977606, 0.9263002, 1.092594, 
    0.5949462, 0, 1.465616, 1.75712, 1.861183, 1.930599, 1.951115, 1.946975, 
    1.929727, 1.914229, 1.89688, 1.879179, 1.867976, 1.860272, 1.855217, 
    1.853663, 1.85271, 1.851059, 1.849459, 1.848009, 1.845961, 1.843562, 
    1.840414, 1.836417, 1.83172, 1.826323, 1.819477, 1.812631, 1.806984, 
    1.801687, 1.797041, 1.793243, 1.790495, 1.788446, 1.787497, 1.786848, 
    1.786498, 1.786498, 1.786998, 1.787498, 1.787498, 1.787848, 1.788448, 
    1.788798, 1.789498, 1.790198, 1.790548, 1.791149,
  1.794497, 1.789944, 1.77719, 1.759336, 1.739482, 1.71578, 1.685278, 
    1.651528, 1.621479, 1.600532, 1.596542, 1.609204, 1.626015, 1.640724, 
    1.653033, 1.664438, 1.675289, 1.687889, 1.696636, 1.698128, 1.693768, 
    1.690809, 1.695051, 1.707147, 1.720496, 1.732798, 1.739351, 1.743505, 
    1.75276, 1.770416, 1.794419, 1.817322, 1.833524, 1.839925, 1.836275, 
    1.826874, 1.811273, 1.786923, 1.752923, 1.717823, 1.692274, 1.681425, 
    1.696475, 1.735724, 1.786025, 1.844725, 1.907526, 1.969875, 2.028524, 
    2.083672, 2.146617, 2.203807, 2.241245, 2.262233, 2.263018, 2.255505, 
    2.229447, 2.192539, 2.149381, 2.086776, 2.019431, 1.952788, 1.886799, 
    1.571786, 0.9084603, 0.272463, 0, 0, 0, 0, 0, 0, 0, 0, 0.9054335, 
    1.808109, 1.785006, 1.754902, 1.724349, 1.696897, 1.669248, 1.640549, 
    1.609599, 1.575444, 1.550738, 1.539676, 1.555852, 1.597275, 1.632422, 
    1.668271, 1.709271, 1.749522, 1.785925, 1.818825, 1.854633, 1.872403, 
    1.876967, 1.886067, 1.896017, 1.906367, 1.914967, 1.921816, 1.928266, 
    1.932366, 1.934966, 1.935465, 1.934365, 1.931863, 1.928961, 1.926759, 
    1.924957, 1.915105, 1.887207, 1.834808, 1.765811, 1.701414, 1.653969, 
    1.625776, 1.628285, 1.669146, 1.742003, 1.857908, 2.03261, 2.242257, 
    2.453751, 2.672243, 2.898432, 3.063118, 3.163708, 3.260797, 3.365033, 
    2.412146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.351914, 1.210812, 1.32911, 0.1363623, 0, 0, 0, 0, 0, 0, 0, 0.18765, 
    1.864334, 2.706986, 3.539522, 3.471561, 3.389702, 3.295241, 3.189227, 
    3.06456, 2.950396, 2.860192, 2.765442, 2.662397, 2.570851, 2.488954, 
    2.40461, 2.096722, 0, 0, 0, 0, 0, 0, 0, 1.263294, 2.522525, 2.501975, 
    2.469874, 2.420821, 2.362519, 2.302965, 2.232912, 2.151058, 1.47592, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.305669, 0.6019218, 0.616717, 0.6567047, 
    0.7175899, 0.7890754, 0.860169, 0.9365102, 1.080601, 1.256494, 0.6779466, 
    0, 1.589923, 1.874579, 1.956194, 2.00211, 1.998275, 1.983928, 1.964228, 
    1.949076, 1.933573, 1.920667, 1.915962, 1.916505, 1.920648, 1.927141, 
    1.931188, 1.931037, 1.929437, 1.927687, 1.924188, 1.919639, 1.912941, 
    1.905194, 1.895697, 1.885151, 1.871905, 1.85796, 1.846464, 1.836367, 
    1.82662, 1.818973, 1.813225, 1.808877, 1.805579, 1.80353, 1.801981, 
    1.800783, 1.799486, 1.798038, 1.79649, 1.795642, 1.794544, 1.793845, 
    1.793497, 1.793498, 1.793498, 1.793798,
  1.801494, 1.800441, 1.794137, 1.782183, 1.76723, 1.747377, 1.719575, 
    1.685725, 1.653477, 1.626832, 1.610689, 1.6063, 1.60776, 1.608869, 
    1.609776, 1.614181, 1.623033, 1.635733, 1.647931, 1.657827, 1.664772, 
    1.672416, 1.685313, 1.702111, 1.715511, 1.724714, 1.727266, 1.726019, 
    1.729272, 1.741624, 1.761526, 1.782026, 1.797276, 1.804124, 1.802222, 
    1.794171, 1.77977, 1.75592, 1.720971, 1.684722, 1.656774, 1.644226, 
    1.657678, 1.697079, 1.74653, 1.80438, 1.866231, 1.92968, 1.990528, 
    2.049625, 2.119071, 2.188315, 2.241006, 2.28214, 2.306522, 2.316511, 
    2.302453, 2.277544, 2.248034, 2.193876, 2.12742, 2.052225, 1.067917, 
    0.6606854, 0, 0, 0, 0.2835474, 0.9419127, 0.9341238, 0.09321766, 0, 0, 0, 
    0.9066283, 1.80115, 1.783995, 1.760889, 1.736634, 1.712681, 1.68523, 
    1.65533, 1.625179, 1.599323, 1.587211, 1.600988, 0.8799614, 0.8279722, 
    0.8466987, 1.571072, 1.910199, 1.945105, 1.974313, 1.999323, 2.013746, 
    1.991331, 1.961415, 1.946898, 1.950558, 1.960858, 1.969458, 1.976658, 
    1.982859, 1.987208, 1.989708, 1.991158, 1.990957, 1.990456, 1.989955, 
    1.991202, 1.9929, 1.984649, 1.9547, 1.899902, 1.827205, 1.757109, 
    1.701465, 1.662624, 1.650185, 1.674547, 1.735006, 1.843412, 2.015464, 
    2.228412, 2.447757, 2.677251, 2.917842, 3.099832, 3.212475, 3.324766, 
    3.445457, 2.476566, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.05332429, 0.7041849, 1.116068, 0.7842066, 0.0636401, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.8907611, 1.763997, 3.266429, 3.373071, 3.297507, 3.21424, 
    3.115421, 3.021556, 2.936952, 2.843251, 2.736102, 2.642201, 2.557452, 
    2.464657, 2.13927, 0, 0, 0, 0, 0, 0, 0, 0.1274805, 1.656756, 2.539474, 
    2.509622, 2.464319, 2.410515, 2.35721, 2.293755, 2.21825, 1.524563, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.228226, 0.5760688, 0.3119917, 0.4984531, 
    0.7199085, 0.7969014, 0.8926824, 0.9766709, 1.06032, 1.217312, 1.401157, 
    1.1756, 0.2550878, 1.691288, 1.966395, 2.024962, 2.048527, 2.030431, 
    2.012583, 1.996727, 1.98822, 1.980263, 1.977704, 1.983445, 1.995486, 
    2.012526, 2.029917, 2.039662, 2.041361, 2.039861, 2.037362, 2.032663, 
    2.026214, 2.016316, 2.004119, 1.990173, 1.974476, 1.954831, 1.933785, 
    1.916189, 1.900694, 1.886547, 1.87455, 1.865453, 1.857755, 1.851058, 
    1.845911, 1.841713, 1.837167, 1.83097, 1.824326, 1.81823, 1.812834, 
    1.807588, 1.803591, 1.800494, 1.798445, 1.797546, 1.797946,
  1.813988, 1.815387, 1.813635, 1.806082, 1.79448, 1.777629, 1.752428, 
    1.718627, 1.68323, 1.650634, 1.62499, 1.607998, 1.596506, 1.586413, 
    1.578369, 1.576424, 1.583026, 1.595576, 1.610024, 1.624172, 1.636769, 
    1.649717, 1.665666, 1.682518, 1.692772, 1.696378, 1.694682, 1.689135, 
    1.689286, 1.700286, 1.720684, 1.74378, 1.762275, 1.77342, 1.776964, 
    1.771462, 1.758011, 1.733712, 1.695965, 1.656319, 1.624273, 1.607627, 
    1.61773, 1.654782, 1.703533, 1.760684, 1.822383, 1.887931, 1.952277, 
    2.016274, 2.092168, 2.169862, 2.237998, 2.30263, 2.348017, 2.372457, 
    2.372195, 2.360734, 2.346822, 2.30561, 1.676513, 1.054031, 0.1043065, 0, 
    0, 0, 0.09515682, 1.2328, 1.87976, 1.858269, 1.004569, 0.9070352, 
    0.4528187, 0, 0.9007159, 1.804794, 1.795987, 1.78193, 1.765424, 1.746868, 
    1.723214, 1.695011, 1.669107, 1.654546, 1.663676, 1.715144, 0.1732385, 0, 
    0.5773812, 1.875755, 2.216303, 2.241061, 2.256524, 2.260445, 2.238526, 
    2.164615, 2.087401, 2.025586, 2.015197, 2.024199, 2.03245, 2.0393, 
    2.0449, 2.049051, 2.051202, 2.053001, 2.05395, 2.055049, 2.057197, 
    2.061445, 2.066792, 2.060491, 2.029191, 1.971643, 1.894597, 1.818152, 
    1.753958, 1.703766, 1.675528, 1.682292, 1.729751, 1.830407, 2.001256, 
    2.218852, 2.446494, 2.686386, 2.939176, 3.137213, 3.263949, 3.38894, 
    3.52208, 2.534648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5333582, 1.068, 1.068, 0.3204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.702606, 3.335335, 3.287758, 3.227242, 3.154273, 3.077013, 2.998708, 
    2.908155, 2.800854, 2.708203, 2.621455, 2.52176, 2.178373, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.3854783, 1.926201, 2.548572, 2.507868, 2.460113, 2.415455, 
    2.360997, 2.295238, 1.580904, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4780684, 
    0.6262576, 0, 0.1777667, 0.6687211, 0.8718389, 0.9900753, 1.091911, 
    1.17696, 1.341257, 1.527109, 1.690166, 1.198116, 1.865654, 2.033507, 
    2.069723, 2.071989, 2.049941, 2.035633, 2.030474, 2.033014, 2.037903, 
    2.05029, 2.070678, 2.097715, 2.130901, 2.16184, 2.177885, 2.182033, 
    2.180783, 2.177533, 2.171384, 2.162786, 2.149739, 2.133541, 2.115144, 
    2.093949, 2.067754, 2.03976, 2.016414, 1.995517, 1.976571, 1.960624, 
    1.947677, 1.93613, 1.925433, 1.915337, 1.906691, 1.896646, 1.883852, 
    1.869508, 1.856214, 1.84397, 1.832575, 1.82303, 1.815983, 1.810686, 
    1.807689, 1.808238,
  1.833482, 1.835232, 1.834683, 1.828882, 1.818483, 1.802482, 1.777883, 
    1.743684, 1.705985, 1.669337, 1.636442, 1.610748, 1.591002, 1.573357, 
    1.558511, 1.552163, 1.556016, 1.567567, 1.584016, 1.600914, 1.616013, 
    1.630063, 1.644966, 1.65782, 1.662525, 1.65918, 1.651335, 1.642188, 
    1.641537, 1.654534, 1.679729, 1.708924, 1.734268, 1.752961, 1.764654, 
    1.763251, 1.75025, 1.723953, 1.681357, 1.635313, 1.597269, 1.574624, 
    1.580228, 1.613681, 1.661282, 1.718681, 1.78153, 1.850477, 1.919273, 
    1.988419, 2.070665, 2.156509, 2.242245, 2.327631, 2.38902, 2.428407, 
    2.442945, 2.447681, 2.452815, 2.059237, 0.5849274, 0, 0, 0, 0, 0, 
    0.1901008, 1.89336, 1.862267, 1.832571, 1.811521, 1.804919, 0.9017583, 0, 
    0.9038444, 1.815289, 1.814234, 1.809328, 1.80147, 1.792111, 1.776453, 
    1.754496, 1.649427, 0.8465924, 1.327613, 1.872662, 1.171325, 1.197945, 
    1.869865, 2.516667, 2.558817, 2.56933, 2.565248, 2.540871, 2.479601, 
    2.35494, 2.229629, 2.120417, 2.089887, 2.09589, 2.102941, 2.108593, 
    2.113393, 2.117043, 2.118944, 2.120494, 2.122893, 2.125492, 2.13019, 
    2.137687, 2.146734, 2.143431, 2.113179, 2.053879, 1.972483, 1.889837, 
    1.817693, 1.757101, 1.714361, 1.704823, 1.739982, 1.833238, 2.005586, 
    2.232277, 2.473713, 2.726701, 2.99254, 3.209075, 3.354161, 3.492599, 
    3.448041, 1.28654, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9540114, 1.060013, 0.7974304, 0.1604544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.329204, 3.29383, 3.285995, 3.247726, 3.19082, 3.123315, 3.051212, 
    2.96336, 2.855711, 2.76461, 2.674713, 2.570815, 2.21517, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.6472763, 1.285789, 2.420723, 2.51026, 2.477948, 2.436536, 
    1.293309, 0.8069796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2499463, 0.6805585, 
    0.2778081, 0, 0.6128106, 0.9541339, 1.09042, 1.208909, 1.298702, 
    1.464253, 1.643911, 1.794922, 1.928435, 2.027051, 2.081569, 2.097484, 
    2.085391, 2.06269, 2.055287, 2.062726, 2.078566, 2.100051, 2.131285, 
    2.170169, 2.216053, 2.268736, 2.316171, 2.341362, 2.349757, 2.350704, 
    2.348202, 2.340604, 2.329855, 2.313657, 2.293461, 2.270365, 2.243769, 
    2.211124, 2.17573, 2.146635, 2.121038, 2.097142, 2.077195, 2.060149, 
    2.044153, 2.028407, 2.012961, 1.998417, 1.981073, 1.95973, 1.935589, 
    1.912948, 1.892405, 1.873112, 1.856668, 1.844722, 1.835225, 1.829727, 
    1.828929,
  1.860474, 1.860476, 1.85773, 1.850432, 1.838235, 1.820788, 1.794839, 
    1.758891, 1.719993, 1.681094, 1.645293, 1.615344, 1.591746, 1.570248, 
    1.5516, 1.542402, 1.544003, 1.554354, 1.570955, 1.587907, 1.602509, 
    1.614662, 1.625815, 1.632971, 1.631775, 1.62253, 1.608135, 1.596337, 
    1.597534, 1.61518, 1.647323, 1.684715, 1.718258, 1.74585, 1.766393, 
    1.770188, 1.757238, 1.726793, 1.677299, 1.623356, 1.578262, 1.549267, 
    1.549772, 1.579724, 1.626774, 1.685722, 1.751119, 1.824016, 1.897512, 
    1.972057, 2.058804, 2.151699, 2.250242, 2.348085, 2.423624, 2.479161, 
    2.509446, 2.532381, 2.56061, 2.186272, 0.6514071, 0, 0, 0, 0, 0, 
    0.9462305, 1.873722, 1.837274, 1.805723, 1.786569, 1.783466, 1.33726, 
    0.267002, 0.0912025, 1.187115, 1.831487, 1.836777, 1.840067, 1.843555, 
    1.841191, 1.176677, 0.8971804, 0.9627847, 1.477849, 2.06083, 2.285048, 
    2.542411, 2.743984, 2.858076, 2.896882, 2.889098, 2.861769, 2.809591, 
    2.713568, 2.54525, 2.373636, 2.223366, 2.172827, 2.17543, 2.180682, 
    2.184883, 2.188434, 2.191385, 2.192935, 2.194485, 2.197935, 2.202283, 
    2.208931, 2.220128, 2.233724, 2.234819, 2.208915, 2.151511, 2.06886, 
    1.98341, 1.906661, 1.838665, 1.784773, 1.762631, 1.78669, 1.872696, 
    2.048493, 2.287482, 2.54442, 2.81151, 3.089451, 3.323487, 3.48812, 
    3.642256, 3.409512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.9351197, 0.8853796, 0.2634405, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.1636236, 2.136261, 3.300981, 3.276227, 3.225273, 3.16317, 3.095716, 
    3.009365, 2.901165, 2.395462, 1.351259, 1.298671, 1.118971, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.286919, 2.560658, 2.545192, 2.523772, 0.2517916, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3539418, 0.2787161, 0, 0.3193841, 
    0.9869149, 1.192564, 1.321907, 1.419052, 1.579509, 1.746822, 1.882436, 
    1.998801, 2.076518, 2.109586, 2.109497, 2.092598, 2.072744, 2.070688, 
    2.08948, 2.120516, 2.16075, 2.213381, 2.273163, 2.340295, 2.415076, 
    2.481909, 2.520845, 2.537736, 2.544479, 2.544826, 2.537575, 2.525775, 
    2.507027, 2.482879, 2.455582, 2.424086, 2.385041, 2.342697, 2.307602, 
    2.277057, 2.248211, 2.224114, 2.202868, 2.181972, 2.159928, 2.138134, 
    2.11639, 2.090797, 2.059107, 2.023217, 1.989178, 1.958287, 1.929646, 
    1.905153, 1.887458, 1.873262, 1.864216, 1.86017,
  1.894467, 1.89132, 1.883725, 1.871881, 1.855735, 1.834688, 1.805393, 
    1.766945, 1.726996, 1.689142, 1.656188, 1.627834, 1.603483, 1.580534, 
    1.560534, 1.549585, 1.550235, 1.559636, 1.57329, 1.585197, 1.595004, 
    1.603058, 1.609263, 1.610468, 1.603523, 1.588878, 1.569681, 1.555134, 
    1.55978, 1.584373, 1.624915, 1.671807, 1.714249, 1.751091, 1.780683, 
    1.790427, 1.778475, 1.74273, 1.684788, 1.622246, 1.569752, 1.535107, 
    1.53136, 1.55936, 1.607509, 1.669305, 1.738602, 1.815698, 1.893245, 
    1.970445, 2.058596, 2.156044, 2.259991, 2.364986, 2.452876, 2.524861, 
    2.572945, 2.615776, 2.670851, 2.278606, 0.6536503, 0, 0, 0, 0, 0, 
    1.689328, 1.844029, 1.809524, 1.781668, 1.766914, 1.767162, 1.775507, 
    1.161493, 0.9075971, 1.193314, 1.847235, 1.865823, 1.025923, 0.9369989, 
    0.939904, 0.9764695, 1.104886, 2.011554, 2.114078, 2.272256, 2.528832, 
    2.821111, 3.044001, 3.161204, 3.191563, 3.163431, 3.112551, 3.035422, 
    2.910744, 2.708121, 2.501145, 2.32496, 2.264065, 2.262969, 2.26692, 
    2.27017, 2.272871, 2.274722, 2.275922, 2.277472, 2.281521, 2.28787, 
    2.296917, 2.311564, 2.329761, 2.336306, 2.31665, 2.265143, 2.187286, 
    2.10548, 2.030126, 1.960025, 1.899229, 1.868536, 1.883392, 1.963347, 
    2.142744, 2.391788, 2.660379, 2.937373, 3.223119, 3.468962, 3.653096, 
    3.825329, 3.792669, 1.467758, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    4.157951, 4.07152, 3.967997, 3.835429, 3.658219, 3.457911, 3.268148, 
    3.081531, 2.890864, 2.726434, 2.604991, 2.518192, 2.464687, 2.442675,
  2.298198, 2.306584, 2.320556, 2.339374, 2.361842, 2.38956, 2.432274, 
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    2.569088, 2.443992, 2.356343, 2.305441, 2.291329,
  2.174685, 2.192172, 2.223646, 2.261369, 2.302094, 2.349116, 2.414332, 
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    3.505774, 3.221121, 2.961156, 2.713785, 2.4747, 2.288804, 2.161953, 
    2.0764, 2.029894, 2.027038,
  1.968655, 1.997701, 2.056185, 2.122963, 2.191094, 2.268322, 2.366156, 
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    1.966567, 1.922814, 1.922611,
  1.888124, 1.918572, 1.983119, 2.056319, 2.130118, 2.214416, 2.318261, 
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    1.839725,
  1.838553, 1.869702, 1.9358, 2.007954, 2.08031, 2.164213, 2.269762, 
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    1.913555, 1.830504, 1.788555, 1.788956,
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    2.446891, 2.31899, 2.204288, 2.079422, 1.973722, 1.885184, 1.785162, 
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    1.204436,
  2.573064, 2.647982, 1.697721, 2.784897, 2.781767, 2.769944, 2.747396, 
    2.710639, 2.6729, 2.638324, 2.596906, 2.560049, 2.531096, 2.501699, 
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    2.605019, 2.532789, 2.384642, 2.229588, 2.089842, 1.957805, 1.820119, 
    1.690113, 1.568652, 1.462254, 1.406553, 1.403, 1.403, 1.403, 1.403, 
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    1.721398, 1.730495, 1.740493, 1.751904, 1.765266, 1.778629, 1.789295, 
    1.798217, 1.810244, 1.821785, 1.833163, 1.845253, 1.850493, 1.85378, 
    1.850059, 1.821812, 1.763144, 1.695967, 1.633587, 1.567695, 1.501702, 
    1.443707, 1.390219, 1.34583, 1.328335, 1.334147, 1.343822, 1.355888, 
    1.368011, 1.373273, 1.377982, 1.382348, 1.387842, 1.39417, 1.400302, 
    1.403, 0.8311934, 1.403, 1.403, 0.9212307, 0.7147582, 0.9212308, 1.403, 
    1.403, 1.403, 1.403, 1.403, 1.403, 1.403, 1.403, 1.403, 1.403, 0.7597176, 
    0.6882418, 0.6882418, 0.6882418, 0.6882418, 0.6882418, 0.3441209, 0, 0, 
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    4.317908, 4.422123, 4.509014, 4.575593, 4.647402, 4.731477, 4.81161, 
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    1.230055, 1.220408, 1.215061, 1.217736, 1.230238, 1.261623, 1.311556, 
    1.364926, 1.417583, 1.467855, 1.523287,
  1.427663, 1.445592, 1.475954, 1.49958, 1.513806, 1.523833, 1.533922, 
    1.541409, 1.54806, 1.553668, 1.55858, 1.564462, 1.570692, 1.577294, 
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    1.379986,
  1.28097, 1.291891, 1.311119, 1.32946, 1.345063, 1.358176, 1.371618, 
    1.382707, 1.392051, 1.400338, 1.407773, 1.415209, 1.422507, 1.428762, 
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    1.200968, 1.169035, 1.145845, 1.141971, 1.146773, 1.156089, 1.171689, 
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    2.414164, 2.482615, 2.574325, 2.675221, 2.774251, 2.875737, 2.9853, 
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    1.195342, 1.212119, 1.232122, 1.252733,
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    1.122553, 1.132189, 1.141734,
  1.041001, 1.04314, 1.047112, 1.051083, 1.054992, 1.058902, 1.063336, 
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    2.618661, 2.634301, 2.646183, 2.64554, 2.637897, 2.623549, 2.593283, 
    2.534355, 2.477867, 2.417023, 2.358041, 2.30656, 2.257898, 2.208482, 
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    1.029046, 1.032812, 1.036322,
  0.9423661, 0.9423878, 0.9423797, 0.9419841, 0.9422791, 0.9422349, 
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    0.9117312, 0.8817841, 0.847782, 0.8219938,
  0.8300716, 0.8216746, 0.8029801, 0.7818349, 0.7608374, 0.73984, 0.7172927, 
    0.6973948, 0.6813459, 0.6673969, 0.654799, 0.6451505, 0.6383501, 
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    3.249348, 3.544957, 3.82306, 3.048873, 2.198324, 0.2227848, 0, 0, 0, 0, 
    0, 0.8117553, 1.618611, 1.608716, 1.593571, 1.570027, 1.535984, 1.488894, 
    1.430604, 1.366816, 1.297078, 1.214742, 1.127496, 1.048601, 0.9763547, 
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    1.071708, 1.024502, 0.9706466, 0.9121436, 0.8673505,
  0.8660773, 0.8587287, 0.8409773, 0.8206259, 0.8010793, 0.7818843, 
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    0.8368223, 0.8444198, 0.8499691, 0.8536692, 0.8550692, 0.8550692, 
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    2.60517, 3.021209, 3.375274, 3.673628, 3.952477, 4.196975, 2.835498, 
    0.2209473, 0, 0, 0, 0, 0, 0.404846, 1.377965, 1.615211, 1.602315, 
    1.582022, 1.551581, 1.50929, 1.455449, 1.397059, 1.332369, 1.256481, 
    1.173695, 1.098104, 1.027055, 0.9613038, 0.9074512, 0.8683487, 0.8379976, 
    0.8156475, 0.8027956, 0.7965956, 0.7945956, 0.7936454, 0.7929443, 
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    0.9201176,
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    3.166574, 3.550757, 3.865548, 4.146055, 4.390159, 1.346598, 0, 0, 0, 0, 
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    0.8657213, 1.012647, 1.049898, 1.051067, 1.122003, 1.015672,
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    3.584169, 3.919806, 4.204063, 4.450568, 3.037121, 0.2388714, 0, 0, 0, 0, 
    0, 0, 0, 0.163552, 1.635072, 1.628777, 1.611281, 1.582939, 1.544546, 
    1.500053, 1.448557, 1.386662, 1.318567, 1.248822, 1.178029, 1.110487, 
    1.050933, 1.005826, 0.9705219, 0.944218, 0.9286659, 0.9205641, 0.9166623, 
    0.9151121, 0.9142604, 0.9133114, 0.9123623, 0.9115608, 0.9107622, 
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    1.128778, 1.14959, 1.151958, 1.137272, 1.112077, 1.075326, 1.028073, 
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    0.6622897, 0.6738388, 0.6867878, 0.7011377, 0.7158861, 0.7288351, 
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    1.07869, 1.089898, 1.0987, 1.120161, 1.149725, 1.176492, 1.202856, 
    1.239569, 1.288282, 1.351698, 1.442658, 1.555365, 1.667064, 1.774916, 
    1.865968, 1.895811, 1.8923, 1.864631, 1.792547, 1.418176, 0.3788578, 
    0.4407803, 1.114423, 1.058537,
  1.014053, 0.9954969, 0.9638905, 0.9382353, 0.9217862, 0.9102396, 0.899494, 
    0.888947, 0.8808004, 0.8737025, 0.8671562, 0.8620071, 0.8585583, 
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    0.8355636, 0.8293145, 0.8220166, 0.8127187, 0.8047699, 0.7980724, 
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    1.884369, 2.271159, 2.71845, 3.172956, 3.58373, 3.936806, 4.223458, 
    4.47176, 3.031717, 0.2371591, 0, 0, 0, 0, 0, 0, 0, 0.08176009, 0.8176009, 
    0.8151097, 0.8070383, 1.52245, 1.569945, 1.52855, 1.479454, 1.420158, 
    1.354512, 1.287316, 1.219771, 1.155475, 1.093671, 1.045567, 1.007963, 
    0.9792582, 0.9620043, 0.9530531, 0.9483018, 0.9465513, 0.9452512, 
    0.9445512, 0.9438512, 0.9426512, 0.9422512, 0.9413021, 0.9400017, 
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    0.8937116, 0.8969601, 0.9013092, 0.9070584, 0.9131067, 0.919406, 
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    1.191784, 1.185501, 1.162855, 1.124451, 1.074494, 1.021936, 0.9733251, 
    0.9247145, 0.8800508, 0.8456834, 0.8255212, 0.8183152, 0.8163622, 
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    0.6961325, 0.6673915, 0.6517038, 0.6462632, 0.6457276, 0.6502957, 
    0.659112, 0.6703268, 0.6832855, 0.6980381, 0.7116378, 0.7223357, 
    0.7344336, 0.7480813, 0.761729, 0.7738268, 0.7859247, 0.7985725, 
    0.8109201, 0.822318, 0.8333672, 0.8461174, 0.8600194, 0.8740724, 
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    0.9587396, 0.9583375, 0.9551328, 0.9477276, 0.9354219, 0.9220689, 
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    0.5804068, 0.6974682, 0.4947955, 1.058145, 1.163809, 1.191966, 1.205768, 
    1.214115, 1.23982, 1.275728, 1.31059, 1.343851, 1.386861, 1.442523, 
    1.514638, 1.613758, 1.729009, 1.839306, 1.947505, 2.039105, 2.064446, 
    2.054784, 2.016767, 1.925833, 1.536462, 0.4360352, 0, 0.595645, 1.103675,
  1.042044, 1.019988, 0.984431, 0.9565785, 0.9402781, 0.9306314, 0.9219843, 
    0.913388, 0.9070409, 0.9013938, 0.8960945, 0.8917965, 0.8892986, 
    0.8874983, 0.8865992, 0.8865495, 0.8865494, 0.8865494, 0.8865494, 
    0.8865495, 0.8865494, 0.8865494, 0.8855494, 0.8841, 0.8820512, 0.8789511, 
    0.8745027, 0.8692034, 0.8638054, 0.8573563, 0.8496095, 0.8425613, 
    0.8368122, 0.8317631, 0.8271146, 0.8234648, 0.8215647, 0.8210647, 
    0.8221648, 0.8249648, 0.8288139, 0.8333631, 0.8391115, 0.8457108, 
    0.852558, 0.8597562, 0.8660545, 0.8720528, 0.877802, 0.8831999, 
    0.8895463, 0.8958955, 0.9017934, 0.9080402, 0.9151873, 0.9239836, 
    0.9315307, 0.9387266, 0.9459239, 0.9515716, 0.9555205, 0.9587693, 
    0.9610672, 0.963017, 0.9632662, 0.9635153, 0.9635153, 0.9635153, 
    0.9635153, 0.9631665, 0.963017, 0.9631665, 0.9752628, 1.022354, 1.135239, 
    1.321569, 1.561452, 1.856987, 2.237073, 2.677408, 3.130147, 3.544385, 
    3.909752, 4.196802, 4.446655, 1.364222, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.7235251, 1.027514, 1.556046, 1.508648, 1.451149, 1.387452, 1.322305, 
    1.257159, 1.194812, 1.132413, 1.081056, 1.04055, 1.009246, 0.9895416, 
    0.9795392, 0.974088, 0.9720375, 0.9707375, 0.9700375, 0.9700399, 
    0.9691409, 0.9687409, 0.9680409, 0.9669921, 0.9650412, 0.962792, 
    0.9597918, 0.9560938, 0.9514958, 0.9461966, 0.9410477, 0.9358989, 
    0.931101, 0.9276016, 0.9260529, 0.9255528, 0.9266026, 0.9289511, 
    0.9328003, 0.9376982, 0.9430975, 0.948746, 0.9532952, 0.9574931, 
    0.9610412, 0.9639921, 0.9660409, 0.9684433, 0.9726962, 0.979801, 
    0.990558, 1.006566, 1.029428, 1.057641, 1.086855, 1.118169, 1.151683, 
    1.173236, 1.186638, 1.195489, 1.199285, 1.196979, 1.188619, 1.175358, 
    1.156992, 1.139185, 1.130587, 1.121638, 1.10919, 1.091592, 1.072843, 
    1.052694, 1.031244, 1.005944, 0.9820886, 0.9606846, 0.9407771, 0.9250218, 
    0.9178122, 0.9235491, 0.9450863, 0.9765812, 1.012785, 1.052842, 1.09765, 
    1.143411, 1.184572, 1.22224, 1.248763, 1.253233, 1.232636, 1.190328, 
    1.134966, 1.076303, 1.02109, 0.9655269, 0.9114078, 0.8657863, 0.8375205, 
    0.8267642, 0.8233119, 0.8173597, 0.8082576, 0.7953069, 0.7788085, 
    0.7531112, 0.7252662, 0.6977723, 0.6735792, 0.6639379, 0.663546, 
    0.669103, 0.6807095, 0.6956146, 0.712319, 0.7286723, 0.744975, 0.7589767, 
    0.7688258, 0.7797238, 0.7920215, 0.8039177, 0.8148156, 0.8257136, 
    0.8370614, 0.8479587, 0.8580563, 0.8688563, 0.8821579, 0.8973101, 
    0.9128122, 0.9297166, 0.9496231, 0.9703777, 0.9865818, 0.9975347, 
    1.006237, 1.009587, 1.008336, 1.003234, 0.9927286, 0.9773235, 0.9605648, 
    0.9466109, 0.9346133, 0.9231665, 0.9143173, 0.9061705, 0.8992746, 
    0.895175, 0.890575, 0.8863262, 0.8824747, 0.8825689, 0.8815648, 
    0.8795119, 0.8783597, 0.876658, 0.6550401, 0.4365567, 0.4018255, 
    0.1426122, 0.2376869, 0, 0.526499, 0.6092659, 0.9702895, 1.324344, 
    1.333952, 1.361353, 1.401208, 1.442117, 1.482731, 1.531842, 1.593501, 
    1.673363, 1.782178, 1.899884, 2.006024, 2.108656, 2.191827, 2.210864, 
    2.194703, 2.147037, 2.039062, 1.874531, 0.8858071, 0.5187123, 0.719956, 
    1.144115,
  1.065033, 1.039828, 1.000072, 0.9704181, 0.9542689, 0.9461708, 0.9395247, 
    0.933329, 0.9285312, 0.9244335, 0.9201362, 0.9169378, 0.9150378, 
    0.913489, 0.9130395, 0.9130395, 0.9130394, 0.9130394, 0.9130395, 
    0.9130395, 0.9130394, 0.9130394, 0.9120896, 0.9110906, 0.9092903, 
    0.9064412, 0.9029428, 0.8983444, 0.8935444, 0.8880467, 0.8815978, 
    0.8756998, 0.870551, 0.8661021, 0.8621027, 0.8591048, 0.8575559, 
    0.8570559, 0.8581057, 0.8603037, 0.8635526, 0.8675014, 0.8726007, 
    0.8783988, 0.8840477, 0.8900453, 0.8955444, 0.9007434, 0.9055411, 
    0.90999, 0.9146378, 0.9200857, 0.9245329, 0.9293312, 0.934628, 0.9410237, 
    0.9467705, 0.9521685, 0.9574649, 0.9617627, 0.9647607, 0.9674098, 
    0.9690596, 0.9705082, 0.9705082, 0.9705082, 0.9705082, 0.9705082, 
    0.9705082, 0.9705082, 0.9705082, 0.9705082, 0.9805049, 1.021995, 
    1.124977, 1.298203, 1.526682, 1.811862, 2.181491, 2.611271, 3.055604, 
    3.467759, 3.844079, 4.136446, 4.386895, 2.977464, 0.2330136, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.4797118, 1.58154, 1.534991, 1.478191, 1.415743, 
    1.351794, 1.288195, 1.227298, 1.165598, 1.111797, 1.06744, 1.032332, 
    1.010077, 0.9985247, 0.992223, 0.9895716, 0.9883719, 0.9882739, 
    0.9895758, 0.9900293, 0.9898801, 0.9892804, 0.9883296, 0.9865811, 
    0.9847817, 0.9820329, 0.979284, 0.9754847, 0.9709867, 0.9667886, 
    0.9625906, 0.9585913, 0.9557428, 0.9545428, 0.9540427, 0.9550427, 
    0.9567922, 0.960041, 0.96399, 0.9685379, 0.9730857, 0.9770345, 0.9802834, 
    0.9830827, 0.9858313, 0.9877821, 0.9911329, 0.9972863, 1.007693, 1.0228, 
    1.044561, 1.074473, 1.110737, 1.148351, 1.188416, 1.230631, 1.254838, 
    1.269891, 1.27899, 1.280738, 1.274782, 1.261123, 1.24046, 1.211992, 
    1.186173, 1.178072, 1.170325, 1.159127, 1.142077, 1.123828, 1.104179, 
    1.082779, 1.057629, 1.032831, 1.009429, 0.9858739, 0.9671192, 0.9555641, 
    0.9548556, 0.9694952, 0.9995453, 1.038551, 1.08351, 1.134222, 1.186584, 
    1.234595, 1.281207, 1.320276, 1.336094, 1.316645, 1.268133, 1.205019, 
    1.139158, 1.077097, 1.014336, 0.9493691, 0.8917503, 0.8537837, 0.8385752, 
    0.8337728, 0.8259187, 0.8152656, 0.8011125, 0.784059, 0.7608646, 
    0.7362705, 0.7120253, 0.6916312, 0.6864877, 0.6902936, 0.6996995, 
    0.7146543, 0.7320575, 0.7505592, 0.768712, 0.786414, 0.8009641, 
    0.8105641, 0.820513, 0.8310595, 0.8414581, 0.8510559, 0.8606536, 
    0.8705008, 0.8796477, 0.8887968, 0.8993461, 0.9131961, 0.9297486, 
    0.9473034, 0.966607, 0.9900625, 1.014119, 1.033074, 1.046078, 1.05618, 
    1.060233, 1.059084, 1.053033, 1.04023, 1.021625, 0.9998166, 0.9832619, 
    0.971109, 0.9596558, 0.9508051, 0.9430031, 0.9367011, 0.9325005, 
    0.9275493, 0.9232982, 0.9188477, 0.9172477, 0.9150476, 0.9124988, 
    0.9104982, 0.9094519, 0.4557771, 0, 0, 0, 0, 0, 0, 0, 0.712074, 1.429057, 
    1.445522, 1.476433, 1.518435, 1.562888, 1.610045, 1.664202, 1.729956, 
    1.815313, 1.931473, 2.053531, 2.156732, 2.249416, 2.316692, 2.329283, 
    2.308679, 2.253068, 2.130294, 1.666794, 0.8731538, 1.30233, 1.339511, 
    1.17835,
  1.083025, 1.055021, 1.011164, 0.9794111, 0.9637619, 0.9572149, 0.9525676, 
    0.9486206, 0.9450222, 0.9424749, 0.939627, 0.937579, 0.9360301, 
    0.9351813, 0.9345803, 0.9345301, 0.9345301, 0.9345301, 0.9345301, 
    0.9345301, 0.9345301, 0.9345301, 0.9340314, 0.9330806, 0.9315317, 
    0.9292828, 0.9264333, 0.9224837, 0.9182857, 0.9140876, 0.9085895, 
    0.9034901, 0.899292, 0.8954428, 0.8920942, 0.8897444, 0.8885444, 
    0.8880444, 0.8890443, 0.8906444, 0.8932936, 0.8966428, 0.9010412, 
    0.9057397, 0.9107889, 0.9154869, 0.9200349, 0.9244333, 0.9282825, 
    0.9317806, 0.9355298, 0.9392765, 0.9422746, 0.9456216, 0.9495203, 
    0.953567, 0.9575142, 0.9611104, 0.9645079, 0.9674559, 0.969254, 
    0.9710521, 0.9724514, 0.9729999, 0.973, 0.9729999, 0.973, 0.9729999, 
    0.973, 0.9729999, 0.973, 0.9729999, 0.9814984, 1.016939, 1.10837, 
    1.267598, 1.481924, 1.754352, 2.110931, 2.527107, 2.959335, 3.373387, 
    3.761054, 4.05745, 4.307098, 4.540649, 2.358134, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.0834136, 1.070506, 1.604535, 1.558335, 1.501735, 1.439735, 
    1.376286, 1.313536, 1.253287, 1.192238, 1.138038, 1.090134, 1.049976, 
    1.02462, 1.011016, 1.003363, 0.9996612, 0.9986615, 0.9997635, 1.001914, 
    1.004417, 1.005521, 1.005271, 1.004322, 1.003022, 1.001573, 0.9995238, 
    0.9971238, 0.9940253, 0.9907774, 0.9875286, 0.9842796, 0.9810815, 
    0.9787317, 0.9777825, 0.9775333, 0.9780818, 0.9796317, 0.9822809, 
    0.985279, 0.9889784, 0.9922764, 0.9952745, 0.9979238, 1.000474, 1.002322, 
    1.004522, 1.008824, 1.017379, 1.031886, 1.052295, 1.080405, 1.11852, 
    1.163985, 1.210851, 1.260166, 1.308471, 1.335925, 1.353128, 1.362981, 
    1.363078, 1.353071, 1.33336, 1.304196, 1.263324, 1.229718, 1.221317, 
    1.214668, 1.20452, 1.18772, 1.170071, 1.151022, 1.129823, 1.105425, 
    1.081576, 1.056674, 1.030771, 1.009016, 0.9948126, 0.9886535, 0.9974952, 
    1.028448, 1.071806, 1.122867, 1.180678, 1.239738, 1.294598, 1.34841, 
    1.399128, 1.424341, 1.403386, 1.347423, 1.276613, 1.204002, 1.135341, 
    1.066332, 0.9922193, 0.9232012, 0.8755364, 0.8562317, 0.8497285, 
    0.8393244, 0.8267714, 0.8110695, 0.7923676, 0.7711184, 0.749773, 
    0.7284276, 0.7115831, 0.7098879, 0.716792, 0.728945, 0.7461977, 
    0.7657012, 0.7853031, 0.8045539, 0.8233054, 0.8379555, 0.8473046, 
    0.8559517, 0.8651006, 0.8744987, 0.8825459, 0.8905933, 0.8989913, 
    0.9068402, 0.9147873, 0.9251875, 0.9392881, 0.9571901, 0.976792, 
    0.9984961, 1.024599, 1.052154, 1.074309, 1.089463, 1.101667, 1.10752, 
    1.107071, 1.101022, 1.087121, 1.065567, 1.03906, 1.019555, 1.006054, 
    0.9931523, 0.9838015, 0.9751508, 0.9677491, 0.9628475, 0.9575475, 
    0.9529476, 0.9482974, 0.9460955, 0.9437951, 0.6061852, 0.4610837, 
    0.4611335, 0.2312645, 0, 0, 0, 0, 0, 0, 0, 0.7553158, 1.52114, 1.546554, 
    1.584717, 1.627668, 1.67377, 1.724524, 1.781979, 1.84943, 1.93683, 
    2.055377, 2.178824, 2.280419, 2.363102, 2.413572, 2.415798, 2.391841, 
    2.330433, 2.093897, 0.7089454, 0.852527, 1.584649, 1.372295, 1.205338,
  1.097018, 1.066214, 1.018809, 0.9857587, 0.9700077, 0.9647587, 0.9620119, 
    0.9594131, 0.957266, 0.9558168, 0.9545196, 0.9532198, 0.9522706, 
    0.9520214, 0.9515727, 0.9515229, 0.9515229, 0.9515229, 0.9515229, 
    0.9515229, 0.9515229, 0.9515229, 0.9510217, 0.950223, 0.9490229, 
    0.947474, 0.9449746, 0.9417764, 0.9385275, 0.9349275, 0.9305791, 
    0.9266321, 0.9232829, 0.9202846, 0.9175853, 0.9157366, 0.9145367, 
    0.9140367, 0.9150366, 0.9164862, 0.9185351, 0.9212841, 0.9245822, 
    0.9284312, 0.9322783, 0.9361275, 0.9399773, 0.9432755, 0.9462736, 
    0.9489229, 0.9515201, 0.9539694, 0.9557676, 0.9575657, 0.9600125, 
    0.9626113, 0.9647584, 0.9665565, 0.9685046, 0.9703031, 0.9712523, 
    0.9722015, 0.9729502, 0.9729999, 0.973, 0.973, 0.973, 0.9729999, 0.973, 
    0.973, 0.973, 0.9729999, 0.9802477, 1.009538, 1.089622, 1.233697, 
    1.432673, 1.689747, 2.031322, 2.431696, 2.849072, 3.263321, 3.660835, 
    3.958342, 4.206087, 4.438784, 4.189798, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.08289596, 0.8244733, 0.8052821, 0.7822527, 1.442737, 1.459878, 1.39728, 
    1.334679, 1.274329, 1.21388, 1.160031, 1.110379, 1.065523, 1.035715, 
    1.01926, 1.009456, 1.004704, 1.003654, 1.005254, 1.008256, 1.012408, 
    1.01531, 1.016012, 1.015312, 1.014464, 1.013214, 1.011765, 1.009966, 
    1.007567, 1.005418, 1.002769, 1.000471, 0.9985229, 0.9967244, 0.9957736, 
    0.9955229, 0.9960743, 0.997474, 0.9992721, 1.00107, 1.003968, 1.006468, 
    1.008517, 1.010566, 1.012464, 1.013814, 1.016265, 1.021866, 1.033421, 
    1.052378, 1.079038, 1.114451, 1.161615, 1.217532, 1.274849, 1.334265, 
    1.386121, 1.416827, 1.437133, 1.448334, 1.447434, 1.21376, 0.6819102, 
    0.6651117, 1.240359, 1.271412, 1.261809, 1.255359, 1.245609, 1.229861, 
    1.212812, 1.194714, 1.173864, 1.150064, 1.126815, 1.102168, 1.074716, 
    1.050413, 1.033558, 1.022652, 1.026144, 1.059649, 1.108307, 1.165716, 
    1.230678, 1.296739, 1.357849, 1.418609, 1.479472, 1.511681, 1.487877, 
    1.425219, 1.347508, 1.267345, 1.192086, 1.116826, 1.035114, 0.9571042, 
    0.9015443, 0.8778355, 0.8691819, 0.8563786, 0.8422767, 0.8253749, 
    0.8059244, 0.7850749, 0.7657768, 0.7475318, 0.7335853, 0.7344887, 
    0.7435413, 0.7574939, 0.7761956, 0.7969963, 0.8172966, 0.8365458, 
    0.8557458, 0.8704458, 0.8792951, 0.8867443, 0.8945413, 0.9023381, 
    0.9092875, 0.9155345, 0.922532, 0.9293801, 0.936029, 0.946178, 0.9607788, 
    0.9794796, 1.000281, 1.024234, 1.052638, 1.083042, 1.108046, 1.124998, 
    1.139652, 1.147805, 0.8559167, 0.5601832, 0.5530551, 0.54169, 0.7974564, 
    1.053199, 1.039049, 1.025498, 1.015547, 1.006647, 0.9987474, 0.9933473, 
    0.9877967, 0.9832969, 0.978296, 0.9755963, 0.7257927, 0.4892658, 
    0.09875079, 0.3451011, 0, 0, 0, 0, 0, 0, 0, 0, 0.3868146, 1.365491, 
    1.643598, 1.685848, 1.728396, 1.774093, 1.825992, 1.88414, 1.950134, 
    2.035027, 2.149216, 2.26645, 2.360081, 2.429557, 2.46524, 2.457985, 
    2.428023, 2.360261, 2.120473, 1.016145, 1.339959, 1.604463, 1.395327, 
    1.226629,
  1.107513, 1.074611, 1.024407, 0.9901044, 0.9740044, 0.9694555, 0.9684074, 
    0.9668592, 0.966261, 0.9653118, 0.9649619, 0.9643637, 0.9640147, 
    0.9636637, 0.9635133, 0.9635133, 0.9635133, 0.9635133, 0.9635133, 
    0.9635133, 0.9635133, 0.9635133, 0.9630646, 0.9627147, 0.9615147, 
    0.9603147, 0.9585162, 0.9564176, 0.9537684, 0.9507702, 0.9475719, 
    0.9447725, 0.9422743, 0.940125, 0.9380764, 0.9367265, 0.9357772, 
    0.935528, 0.9360766, 0.9373265, 0.9387758, 0.940925, 0.9431235, 
    0.9461221, 0.9487714, 0.9517696, 0.9549678, 0.9574672, 0.9595162, 
    0.9615652, 0.9630144, 0.9643117, 0.965261, 0.9662104, 0.9671088, 
    0.9686569, 0.9695058, 0.9703549, 0.9710531, 0.9721525, 0.9725015, 
    0.9728504, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.9787478, 1.001989, 1.070822, 1.19915, 1.381423, 1.620746, 
    1.944719, 2.32699, 2.727564, 3.132688, 3.535591, 3.836594, 4.080036, 
    4.310533, 4.072101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.379168, 1.476672, 1.415024, 1.352674, 1.292325, 1.231874, 1.178024, 
    1.128024, 1.080823, 1.046016, 1.025258, 1.012553, 1.00625, 1.004498, 
    1.005748, 1.009448, 1.014499, 1.019102, 1.020752, 1.020654, 1.020404, 
    1.019355, 1.018506, 1.017657, 1.016059, 1.014559, 1.012761, 1.011663, 
    1.010513, 1.009364, 1.008765, 1.008516, 1.009015, 1.009813, 1.011013, 
    1.011862, 1.01351, 1.015309, 1.016758, 1.017856, 1.018956, 1.019955, 
    1.023006, 1.030259, 1.045515, 1.069874, 1.103285, 1.147197, 1.203812, 
    1.271229, 1.339596, 1.407254, 1.462308, 1.497365, 1.52137, 1.534524, 
    1.454843, 0.5171734, 0, 0, 0.5953925, 0.6439492, 0.638615, 0.6353745, 
    1.215756, 1.266499, 1.250301, 1.233052, 1.212853, 1.189705, 1.167307, 
    1.144208, 1.11666, 1.090658, 1.071054, 1.0567, 1.055494, 1.089491, 
    1.143799, 1.206857, 1.278616, 1.351224, 1.417832, 1.484088, 1.552347, 
    1.589954, 1.565355, 1.496997, 1.411484, 1.323824, 1.242566, 1.161659, 
    1.074103, 0.9902453, 0.9295397, 0.9010342, 0.8901811, 0.8762309, 
    0.8612801, 0.8435294, 0.8239796, 0.8037308, 0.7855324, 0.7697849, 
    0.758038, 0.7604391, 0.7710412, 0.7861922, 0.8056427, 0.8266427, 
    0.8470427, 0.8656917, 0.8842397, 0.8982878, 0.9062861, 0.9128843, 
    0.9190324, 0.9250301, 0.9307773, 0.9358265, 0.9414749, 0.9465716, 
    0.9522699, 0.9618191, 0.9767693, 0.9962711, 1.018273, 1.043424, 1.073675, 
    1.106328, 1.133029, 1.152033, 1.168685, 1.179389, 0.5912713, 0, 0, 0, 
    0.2684576, 0.5330765, 0.5259475, 0.6790369, 1.045292, 1.036292, 1.028241, 
    1.022841, 1.017292, 1.012792, 1.007792, 0.8519428, 0.2467716, 0.3440843, 
    0.09816025, 0.3430374, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.19744, 1.734124, 
    1.775521, 1.816368, 1.860367, 1.910863, 1.966508, 2.029103, 2.108845, 
    2.214982, 2.320764, 2.400792, 2.454569, 2.476594, 2.460825, 2.419202, 
    2.34013, 2.201528, 2.004587, 1.799201, 1.598019, 1.401342, 1.23956,
  1.11551, 1.081208, 1.028454, 0.9924524, 0.9762521, 0.9723029, 0.9719529, 
    0.9715043, 0.9715043, 0.9711553, 0.9710056, 0.9710056, 0.9710057, 
    0.9706567, 0.970507, 0.9705071, 0.9705071, 0.9705071, 0.970507, 
    0.9705071, 0.9705071, 0.9705071, 0.970507, 0.9703575, 0.9695085, 
    0.9683084, 0.9674598, 0.9660603, 0.9642621, 0.9624638, 0.9600643, 
    0.958066, 0.956517, 0.954968, 0.9539697, 0.9527198, 0.9520198, 0.9520198, 
    0.9521198, 0.9533198, 0.9542692, 0.9555674, 0.9570668, 0.9589651, 
    0.9610142, 0.9630632, 0.9650114, 0.9668099, 0.9680085, 0.9692071, 
    0.970407, 0.9706566, 0.9710057, 0.9713547, 0.9715541, 0.9720028, 
    0.9722521, 0.9725015, 0.9725512, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.9772478, 
    0.9951408, 1.052575, 1.164952, 1.329426, 1.549899, 1.853768, 2.21619, 
    2.597561, 2.991905, 3.398363, 3.700312, 3.937803, 4.165498, 3.939165, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7663015, 1.490267, 1.430521, 
    1.369374, 1.310227, 1.249877, 1.196028, 1.146379, 1.098879, 1.058671, 
    1.032763, 1.016307, 1.006902, 1.00385, 1.004499, 1.008299, 1.013599, 
    1.019399, 1.022252, 1.023354, 1.023404, 1.022504, 1.022004, 1.021504, 
    1.020956, 1.019856, 1.019007, 1.018507, 1.018008, 1.017359, 1.017009, 
    1.017009, 1.017059, 1.01766, 1.018258, 1.018507, 1.019457, 1.020306, 
    1.021255, 1.021504, 1.022404, 1.023104, 1.027006, 1.036509, 1.056166, 
    1.087176, 1.128037, 1.180449, 1.247865, 1.327082, 1.404843, 1.476295, 
    1.534852, 1.574408, 1.602364, 1.618769, 1.457058, 0, 0, 0, 0, 0, 0, 0, 
    0.6478829, 1.297791, 1.282793, 1.266746, 1.247397, 1.225649, 1.204551, 
    1.182402, 1.156405, 1.129354, 1.108052, 1.090949, 1.085543, 1.117541, 
    1.176295, 1.244151, 1.321107, 1.398763, 1.469067, 1.53867, 1.611324, 
    1.653179, 1.629079, 1.555623, 1.462614, 1.368806, 1.282299, 1.197194, 
    1.105989, 1.017985, 0.9545326, 0.9229292, 0.9111797, 0.8972297, 
    0.8820298, 0.8643808, 0.8455325, 0.8263844, 0.8095368, 0.7954893, 
    0.7859425, 0.7895949, 0.8007946, 0.8161944, 0.8351425, 0.8554906, 
    0.875289, 0.8929873, 0.9097842, 0.9223318, 0.9287791, 0.9338263, 
    0.9385241, 0.9430722, 0.9472706, 0.9514688, 0.9555159, 0.9592651, 
    0.9637635, 0.9724618, 0.9873113, 1.007411, 1.030262, 1.056264, 1.087716, 
    1.121817, 1.149268, 1.170069, 1.189174, 1.202628, 0.6037649, 0, 0, 0, 0, 
    0, 0, 0.1589982, 0.5282489, 0.901028, 1.055738, 1.050338, 1.045038, 
    1.040789, 1.036189, 0.7234768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6121604, 1.725808, 1.85546, 1.892101, 1.932943, 1.980689, 2.032233, 
    2.091076, 2.164968, 2.261302, 2.354133, 2.419513, 2.458292, 2.464822, 
    2.436304, 2.381439, 2.288772, 2.14521, 1.954469, 1.759686, 1.571204, 
    1.390126, 1.241295,
  1.120003, 1.084301, 1.030451, 0.9938014, 0.9772507, 0.9733, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.9727507, 0.9721524, 
    0.9719027, 0.9708531, 0.9702548, 0.9693055, 0.9680079, 0.9668586, 
    0.9662603, 0.9653109, 0.9649611, 0.9643626, 0.9640136, 0.9640136, 
    0.9640635, 0.9646618, 0.9650109, 0.9657109, 0.9665096, 0.9673082, 
    0.9685068, 0.9697055, 0.9705041, 0.9713027, 0.9720027, 0.9723518, 
    0.9729501, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.9759986, 0.9891425, 1.035778, 1.132107, 1.278181, 
    1.478853, 1.760823, 2.101441, 2.461812, 2.851254, 3.262911, 3.562856, 
    3.793797, 4.017741, 4.020699, 1.517526, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.07529414, 0.9677631, 1.444016, 1.386123, 1.329677, 1.271182, 
    1.218283, 1.169234, 1.121383, 1.075326, 1.044268, 1.023011, 1.009957, 
    1.004402, 1.003749, 1.007299, 1.012649, 1.0192, 1.023251, 1.025201, 
    1.025852, 1.025003, 1.024753, 1.024153, 1.023953, 1.023354, 1.022753, 
    1.022504, 1.022454, 1.021853, 1.021504, 1.021504, 1.021554, 1.022153, 
    1.022504, 1.022504, 1.023003, 1.023654, 1.024003, 1.024354, 1.025003, 
    1.026104, 1.031006, 1.043611, 1.068268, 1.106127, 1.155038, 1.2162, 
    1.294865, 1.386082, 1.471593, 1.545547, 1.607851, 1.651757, 1.684615, 
    1.705221, 1.536211, 0, 0, 0, 0, 0, 0, 0, 0.06562059, 0.6544108, 
    0.9776289, 1.296637, 1.278891, 1.258593, 1.238794, 1.217596, 1.193298, 
    1.1667, 1.144298, 1.125397, 1.116192, 1.146039, 1.205788, 1.277091, 
    1.357595, 1.438197, 1.510549, 1.582201, 1.656402, 1.700754, 1.677806, 
    1.600953, 1.502146, 1.40324, 1.313037, 1.224583, 1.130529, 1.040528, 
    0.9755259, 0.9423749, 0.9311761, 0.918379, 0.9040313, 0.8879346, 
    0.8705869, 0.8533403, 0.8385437, 0.8265469, 0.8189491, 0.8239504, 
    0.8342984, 0.8484954, 0.8660935, 0.8843896, 0.9020354, 0.9175812, 
    0.9322284, 0.9422237, 0.9465204, 0.9501191, 0.9535177, 0.9567659, 
    0.9595136, 0.9622613, 0.9646096, 0.9674577, 0.9707561, 0.9782545, 
    0.9928542, 1.013405, 1.036505, 1.063105, 1.095657, 1.130307, 1.158007, 
    1.179758, 1.20116, 1.217213, 0.6117575, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3752242, 0.5331424, 0.5304497, 0.527807, 0.5258623, 0.5236185, 
    0.3654509, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9330805, 1.922878, 
    1.955075, 1.991821, 2.035113, 2.081656, 2.136049, 2.20339, 2.289126, 
    2.368507, 2.419738, 2.444019, 2.435447, 2.394229, 2.328163, 2.227107, 
    2.080059, 1.89637, 1.712183, 1.536048, 1.369116, 1.233835,
  1.118494, 1.083146, 1.029998, 0.9943, 0.9775, 0.9733, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.9729501, 0.9725013, 
    0.9725013, 0.9721522, 0.9719527, 0.9715039, 0.9715039, 0.9711548, 
    0.9710052, 0.9710052, 0.9710052, 0.9710052, 0.9710052, 0.9710052, 
    0.9710052, 0.9713543, 0.9715039, 0.9716535, 0.9720026, 0.9723517, 
    0.9725013, 0.9726509, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.9749987, 0.9843446, 
    1.020982, 1.101611, 1.228686, 1.408609, 1.667277, 1.983894, 2.321814, 
    2.697184, 3.110382, 3.40773, 3.631269, 3.850612, 3.867117, 1.509432, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2205203, 1.084043, 1.403624, 
    1.35118, 1.295634, 1.244286, 1.196088, 1.147938, 1.096481, 1.059773, 
    1.033216, 1.015959, 1.006804, 1.004252, 1.006599, 1.011699, 1.018699, 
    1.022999, 1.0259, 1.027351, 1.027003, 1.026752, 1.026152, 1.026003, 
    1.025703, 1.025003, 1.025003, 1.024953, 1.024504, 1.024504, 1.024504, 
    1.024504, 1.024654, 1.025003, 1.025003, 1.025103, 1.026003, 1.026003, 
    1.026352, 1.027052, 1.028753, 1.035256, 1.051561, 1.081869, 1.127079, 
    1.18429, 1.254452, 1.344367, 1.447432, 1.540842, 1.617445, 1.683, 
    1.732409, 1.771618, 1.798578, 0.8793758, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6652664, 1.323184, 1.307837, 1.28939, 1.271042, 1.251645, 1.228947, 
    1.204401, 1.180799, 1.160347, 1.148243, 1.17559, 1.234539, 1.307139, 
    1.389089, 1.470991, 1.544291, 1.615488, 1.689036, 1.734537, 1.712537, 
    1.633835, 1.531081, 1.428127, 1.335524, 1.245022, 1.149171, 1.058571, 
    0.9925197, 0.9586688, 0.948721, 0.9384748, 0.9267794, 0.9133333, 
    0.8985879, 0.8840918, 0.8720459, 0.8627999, 0.8573034, 0.8621517, 
    0.8705485, 0.8820945, 0.8970894, 0.9124855, 0.9267808, 0.9389761, 
    0.9502199, 0.9571162, 0.9592637, 0.9617622, 0.9640104, 0.9659588, 
    0.9675079, 0.9687061, 0.9700551, 0.9716535, 0.9740027, 0.9809026, 
    0.9953525, 1.015901, 1.039001, 1.065952, 1.099103, 1.133803, 1.161503, 
    1.183954, 1.206304, 1.224807, 0.6162546, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1966559, 
    1.973758, 2.003555, 2.036499, 2.074543, 2.115435, 2.164277, 2.223966, 
    2.29845, 2.364182, 2.402466, 2.41345, 2.391084, 2.33787, 2.262661, 
    2.159111, 2.014465, 1.838927, 1.665192, 1.500557, 1.346674, 1.22424,
  1.11199, 1.078743, 1.027546, 0.9935983, 0.9772494, 0.9731496, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.9739987, 0.9802448, 1.008134, 1.073767, 
    1.182445, 1.341168, 1.575337, 1.867556, 2.181576, 2.533746, 2.934617, 
    3.228811, 3.443499, 3.65679, 3.671105, 1.377211, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.3590931, 1.201419, 1.372926, 1.32023, 1.270782, 
    1.223784, 1.175784, 1.121483, 1.079026, 1.04707, 1.024112, 1.011207, 
    1.006504, 1.007052, 1.011651, 1.0182, 1.0225, 1.0261, 1.028351, 1.028501, 
    1.028252, 1.028003, 1.027551, 1.027352, 1.027003, 1.027003, 1.026952, 
    1.026501, 1.026501, 1.026501, 1.026501, 1.026652, 1.027003, 1.027003, 
    1.027052, 1.027501, 1.027752, 1.028003, 1.028602, 1.031053, 1.039505, 
    1.059861, 1.096068, 1.149529, 1.215039, 1.294551, 1.395414, 1.509979, 
    1.610336, 1.68934, 1.758745, 1.815355, 1.862867, 1.900233, 0.1908637, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.3349042, 1.142113, 1.334332, 1.318335, 
    1.302038, 1.285041, 1.264494, 1.242046, 1.218548, 1.196797, 1.181743, 
    1.206289, 1.264538, 1.336787, 1.418586, 1.500335, 1.572281, 1.639324, 
    1.708816, 1.754014, 1.732014, 1.651912, 1.546609, 1.441658, 1.347508, 
    1.256858, 1.16121, 1.071062, 1.004762, 0.9699605, 0.9622639, 0.95587, 
    0.9477745, 0.9375791, 0.926534, 0.915489, 0.9067934, 0.900898, 0.8983521, 
    0.900898, 0.9065441, 0.9149902, 0.9260851, 0.9375791, 0.9482746, 0.95687, 
    0.9633139, 0.9666585, 0.9675075, 0.9687058, 0.9699549, 0.9706534, 
    0.9715025, 0.9720025, 0.9725012, 0.973, 0.975, 0.9819, 0.9958489, 
    1.016049, 1.0395, 1.066449, 1.099549, 1.133647, 1.160996, 1.183796, 
    1.207299, 1.2277, 0.6187519, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2003035, 2.009634, 2.036781, 
    2.064975, 2.098018, 2.134063, 2.176505, 2.227343, 2.289829, 2.342162, 
    2.368196, 2.367281, 2.333719, 2.271108, 2.190403, 2.087656, 1.947764, 
    1.782077, 1.620694, 1.469112, 1.329081, 1.217142,
  1.102988, 1.071841, 1.023995, 0.9925491, 0.977, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.9735, 0.9771475, 0.9977397, 1.049874, 1.141203, 
    1.278728, 1.488398, 1.756219, 2.045839, 2.372907, 2.749676, 3.039622, 
    3.243758, 3.448245, 3.662535, 2.66856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.4944013, 1.318744, 1.341172, 1.293524, 1.247625, 
    1.200226, 1.145376, 1.100527, 1.064072, 1.035667, 1.018461, 1.011007, 
    1.009855, 1.013153, 1.018701, 1.023001, 1.026601, 1.029301, 1.029501, 
    1.029501, 1.02915, 1.028551, 1.028501, 1.028501, 1.028501, 1.028451, 
    1.028002, 1.028002, 1.028002, 1.028002, 1.028152, 1.028501, 1.028501, 
    1.028501, 1.028501, 1.028751, 1.029351, 1.029701, 1.033002, 1.043755, 
    1.06816, 1.110668, 1.171977, 1.245536, 1.333796, 1.444908, 1.568667, 
    1.672568, 1.754071, 1.827525, 1.891333, 1.945588, 1.275365, 0.09791261, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4734521, 1.290665, 1.346585, 1.332788, 
    1.31794, 1.299994, 1.279998, 1.25805, 1.235749, 1.217746, 1.239192, 
    1.295288, 1.365735, 1.445981, 1.525077, 1.593021, 1.653261, 1.714098, 
    1.754839, 1.732488, 1.651688, 1.545639, 1.440639, 1.346992, 1.257544, 
    1.164649, 1.076853, 1.011254, 0.9761049, 0.9704063, 0.9684111, 0.9642664, 
    0.9580215, 0.9510266, 0.9440317, 0.9392869, 0.9369912, 0.9365424, 
    0.9369912, 0.9392869, 0.9440317, 0.9510266, 0.9580215, 0.9645157, 
    0.9689099, 0.9709051, 0.9715036, 0.971753, 0.9720024, 0.9724514, 
    0.9725012, 0.9727506, 0.973, 0.973, 0.973, 0.9747494, 0.9813988, 
    0.9948988, 1.015048, 1.038247, 1.064596, 1.097045, 1.130345, 1.156743, 
    1.179293, 1.203292, 1.039395, 0.3090008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1006061, 
    1.316996, 2.05301, 2.077507, 2.105651, 2.137696, 2.17424, 2.21638, 
    2.266264, 2.305147, 2.318932, 2.306819, 2.26391, 2.194904, 2.111151, 
    2.009902, 1.87606, 1.721072, 1.572186, 1.434152, 1.307416, 1.204878,
  1.092487, 1.06344, 1.019444, 0.9909973, 0.9767494, 0.973, 0.973, 0.973, 
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    1.466869, 1.540059, 1.600748, 1.651636, 1.700771, 1.733361, 1.71021, 
    1.630713, 1.526165, 1.42337, 1.332725, 1.246631, 1.159088, 1.076096, 
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    1.799309, 1.655071, 1.518687, 1.393502, 1.278816, 1.186027,
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    1.72412, 1.591233, 1.467697, 1.35466, 1.25067, 1.166027,
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    1.875185, 1.775584, 1.659539, 1.53775, 1.425711, 1.321719, 1.225525, 
    1.147031,
  1.061996, 1.041348, 1.010153, 0.9897041, 0.9790041, 0.9753041, 0.974503, 
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    1.497215, 1.39272, 1.295226, 1.205433, 1.132538,
  1.062505, 1.043957, 1.01646, 0.9972107, 0.9860097, 0.9811074, 0.9790058, 
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    1.468127, 1.368231, 1.276737, 1.192992, 1.126249,
  1.072013, 1.055214, 1.029866, 1.010915, 0.9982635, 0.9908611, 0.9860575, 
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    1.772314, 1.87176, 1.954058, 2.037256, 1.468955, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.7495093, 1.49622, 1.490571, 1.484422, 1.476775, 
    1.464927, 1.371448, 0.4908392, 0, 0, 0.1410471, 1.408668, 1.404207, 
    1.399751, 1.390095, 1.375391, 1.351441, 1.305447, 1.243755, 1.185063, 
    1.135469, 1.091827, 1.051333, 1.01754, 0.9934953, 0.9764492, 0.973, 
    0.9729999, 0.973, 0.973, 0.973, 0.9729999, 0.973, 0.973, 0.973, 
    0.9729999, 0.973, 0.973, 0.973, 0.9729999, 0.973, 0.973, 0.973, 
    0.9729999, 0.973, 0.973, 0.973, 0.9729999, 0.973, 0.973, 0.973, 
    0.9729999, 0.9737495, 0.9765991, 0.9832981, 0.9947966, 1.008494, 
    1.024643, 1.044891, 1.063289, 1.077238, 1.092937, 1.111338, 0.7871416, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.429755, 2.054607, 2.072306, 2.093006, 2.115807, 2.141307, 
    2.164158, 2.179507, 2.184704, 2.175701, 2.152047, 2.113744, 2.05759, 
    1.975987, 1.876933, 1.774732, 1.669381, 1.557684, 1.449839, 1.354994, 
    1.269249, 1.191504, 1.130309,
  1.091522, 1.075773, 1.050822, 1.030821, 1.015768, 1.004914, 0.9961106, 
    0.9891571, 0.9840044, 0.9795529, 0.9761018, 0.9742008, 0.9732504, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.9730501, 
    0.9735008, 0.9742513, 0.976403, 0.9802554, 0.9871588, 0.9945124, 
    1.003617, 1.016522, 1.030628, 1.045785, 1.061992, 1.080849, 1.105404, 
    1.139556, 1.191904, 1.281198, 1.412989, 1.566528, 1.741064, 1.951689, 
    2.158816, 2.304208, 2.434199, 2.585191, 2.730435, 1.400216, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4087677, 
    1.359314, 1.353623, 1.358028, 1.369931, 1.37883, 1.379329, 1.356323, 
    1.324267, 1.291057, 1.253296, 1.209135, 1.159825, 1.113518, 1.073862, 
    1.044908, 1.034654, 1.030751, 1.03, 1.03, 1.03, 1.03, 1.03, 1.03, 1.03, 
    1.03, 1.03, 1.03005, 1.030501, 1.030751, 1.031702, 1.035304, 1.051008, 
    1.082262, 1.133816, 1.211169, 1.307922, 1.412273, 1.530275, 1.66192, 
    1.787964, 1.883261, 1.96386, 2.045308, 1.473854, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.7587575, 1.515766, 1.511567, 1.507019, 
    1.502021, 1.493525, 1.404405, 0.5161083, 0, 0, 0.1385483, 1.38008, 
    1.364721, 1.354968, 1.340214, 1.321662, 1.297211, 1.256314, 1.202671, 
    1.151226, 1.107981, 1.070334, 1.035889, 1.008393, 0.9892469, 0.9760501, 
    0.9730501, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.9735, 0.9757494, 0.9816989, 
    0.9913471, 1.003246, 1.017594, 1.035392, 1.05179, 1.06549, 1.08059, 
    1.09889, 0.9473399, 0.2809945, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3056378, 1.021297, 1.742496, 
    2.062608, 2.080308, 2.101008, 2.123808, 2.149408, 2.172858, 2.186506, 
    2.189304, 2.177152, 2.149498, 2.107495, 2.047642, 1.96339, 1.861639, 
    1.758739, 1.654091, 1.545293, 1.442348, 1.353504, 1.273759, 1.201914, 
    1.145218,
  1.121028, 1.105628, 1.080178, 1.057725, 1.039272, 1.023968, 1.010614, 
    0.9992601, 0.9907571, 0.9840047, 0.9786526, 0.9755515, 0.9740009, 
    0.9731503, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.9730501, 0.9735008, 0.9737512, 0.9743522, 0.9750033, 0.9758047, 
    0.9767563, 0.9777079, 0.9786092, 0.9804608, 0.9827629, 0.9868146, 
    0.9937674, 1.00422, 1.016024, 1.030279, 1.049134, 1.07059, 1.093797, 
    1.118054, 1.145262, 1.176618, 1.214072, 1.265522, 1.349919, 1.472162, 
    1.611048, 1.765328, 1.948205, 2.131036, 2.267478, 2.38712, 2.528812, 
    2.666906, 1.367227, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.2090493, 1.067451, 1.440526, 1.450681, 1.462979, 1.469827, 
    1.468274, 1.439319, 1.399513, 1.356305, 1.306095, 1.249234, 1.189225, 
    1.13527, 1.089715, 1.055911, 1.041257, 1.033754, 1.030451, 1.03, 1.03, 
    1.03, 1.03, 1.03, 1.03, 1.03025, 1.030501, 1.031052, 1.032452, 1.03726, 
    1.046974, 1.060838, 1.086952, 1.127314, 1.186924, 1.271633, 1.374641, 
    1.4856, 1.606004, 1.72709, 1.841275, 1.929817, 2.007514, 1.977579, 
    0.7369136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7667563, 
    1.532463, 1.530566, 1.528919, 1.528023, 1.52538, 1.513586, 1.046878, 0, 
    0, 0.06868476, 0.8874452, 1.349502, 1.332643, 1.311536, 1.290234, 
    1.264983, 1.226434, 1.178037, 1.130789, 1.091491, 1.057093, 1.026395, 
    1.002647, 0.9864984, 0.9763003, 0.9736008, 0.9733505, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.9735, 0.9750494, 0.9801484, 0.9883978, 0.9987463, 
    1.011195, 1.026994, 1.042644, 1.055993, 1.071444, 1.089544, 1.108645, 
    0.8437227, 0.1703849, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.6121532, 2.04526, 2.057359, 2.072158, 2.089658, 
    2.110008, 2.132807, 2.158407, 2.181407, 2.193255, 2.193553, 2.178601, 
    2.147599, 2.102497, 2.040596, 1.954995, 1.853146, 1.750997, 1.64885, 
    1.543954, 1.44686, 1.364515, 1.290569, 1.224324, 1.171827,
  1.160536, 1.145136, 1.118033, 1.09183, 1.069026, 1.048672, 1.029667, 
    1.013213, 1.000759, 0.9907563, 0.982704, 0.9777521, 0.9752512, 0.9738008, 
    0.9730501, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.9735507, 0.974651, 0.975752, 0.9779035, 0.9805557, 0.9839084, 
    0.9875111, 0.9914644, 0.9955682, 1.000071, 1.005023, 1.012076, 1.02323, 
    1.037934, 1.054538, 1.073942, 1.098797, 1.128053, 1.159309, 1.191966, 
    1.229074, 1.268131, 1.310585, 1.363888, 1.445586, 1.558278, 1.678812, 
    1.809844, 1.966224, 2.126456, 2.253499, 2.361989, 2.492529, 2.622722, 
    1.343735, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.7635365, 1.533375, 1.546826, 1.556924, 1.55957, 1.554867, 
    1.520663, 1.473057, 1.421552, 1.361646, 1.292887, 1.222929, 1.162525, 
    1.11157, 1.072867, 1.053363, 1.042009, 1.034856, 1.031753, 1.032153, 
    1.033005, 1.033856, 1.034507, 1.035158, 1.036009, 1.036859, 1.039211, 
    1.045719, 1.062781, 1.089645, 1.121259, 1.163572, 1.217583, 1.288741, 
    1.383649, 1.495956, 1.613107, 1.734105, 1.847856, 1.946295, 2.02634, 
    2.101138, 1.956431, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7735047, 1.547361, 1.549014, 1.551268, 1.555271, 1.559976, 1.557285, 
    1.080477, 0, 0, 0, 0.4123574, 1.363771, 1.336562, 1.306305, 1.279949, 
    1.254249, 1.21665, 1.1701, 1.125252, 1.087753, 1.055154, 1.026855, 
    1.005107, 0.9910088, 0.9828601, 0.9801596, 0.9797095, 0.9790096, 
    0.9790096, 0.9790095, 0.9790095, 0.9790096, 0.9790096, 0.9790095, 
    0.9790095, 0.9790096, 0.9790096, 0.9790095, 0.9790095, 0.9790096, 
    0.978659, 0.9784586, 0.9780079, 0.9777576, 0.9771566, 0.9765055, 
    0.9758545, 0.9752536, 0.9750032, 0.9745024, 0.9740016, 0.9742512, 
    0.9752008, 0.9792, 0.9864489, 0.995248, 1.006147, 1.020546, 1.035645, 
    1.049246, 1.064945, 1.083596, 1.104097, 1.124999, 0.745092, 0.5895348, 
    0.6052096, 0.6184806, 0.1868963, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.1028631, 1.336245, 2.058261, 2.068809, 2.082659, 
    2.099508, 2.119508, 2.141957, 2.167407, 2.189957, 2.200006, 2.197803, 
    2.180552, 2.147151, 2.1005, 2.0381, 1.952651, 1.852603, 1.752755, 
    1.654309, 1.555014, 1.464519, 1.388774, 1.320379, 1.259183, 1.209935,
  1.212044, 1.195943, 1.16554, 1.134986, 1.106782, 1.080327, 1.055223, 
    1.033519, 1.016765, 1.003513, 0.9922606, 0.9848086, 0.9807571, 0.9784563, 
    0.977106, 0.9768558, 0.9762549, 0.9756539, 0.975003, 0.9743521, 
    0.9740015, 0.973651, 0.9734507, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.9733505, 0.9745508, 0.9767522, 0.9800045, 
    0.9843063, 0.9901591, 0.9978129, 1.005517, 1.014271, 1.023975, 1.03298, 
    1.041783, 1.053037, 1.069241, 1.089295, 1.111299, 1.136104, 1.167409, 
    1.204364, 1.243571, 1.285578, 1.332986, 1.381094, 1.43035, 1.487653, 
    1.568303, 1.671847, 1.772582, 1.882066, 2.012797, 2.150781, 2.26602, 
    2.36166, 2.477798, 2.596487, 1.327991, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3926592, 1.376293, 1.639167, 
    1.645413, 1.642809, 1.634256, 1.596003, 1.54255, 1.485047, 1.419844, 
    1.341138, 1.262632, 1.195777, 1.139423, 1.095869, 1.071816, 1.056012, 
    1.044408, 1.037256, 1.039107, 1.041759, 1.044761, 1.047513, 1.049964, 
    1.052016, 1.054418, 1.061573, 1.078982, 1.111794, 1.155106, 1.204168, 
    1.262531, 1.32959, 1.411348, 1.515905, 1.634207, 1.752358, 1.870856, 
    1.985006, 2.071097, 2.144093, 2.218142, 1.117115, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3876667, 1.326708, 1.567464, 1.573467, 
    1.581269, 1.591172, 1.59928, 1.113374, 0, 0, 0, 0.4236099, 1.39703, 
    1.360324, 1.320367, 1.286811, 1.261262, 1.224162, 1.178162, 1.134412, 
    1.098013, 1.066864, 1.039864, 1.019715, 1.007767, 1.001068, 0.9981679, 
    0.9972172, 0.9965173, 0.9965173, 0.9965172, 0.9965172, 0.9965173, 
    0.9965173, 0.9965172, 0.9965172, 0.9965173, 0.9965173, 0.9965172, 
    0.9965172, 0.9962669, 0.9953166, 0.9944659, 0.9932153, 0.9917639, 
    0.989963, 0.9875113, 0.9849093, 0.9827579, 0.9809559, 0.9790546, 
    0.977704, 0.977003, 0.9773525, 0.9806522, 0.9868014, 0.9947511, 1.00445, 
    1.017599, 1.0323, 1.0465, 1.062451, 1.082051, 1.103552, 1.126753, 
    1.152756, 1.183259, 1.217564, 1.249522, 0.8383478, 0.06569856, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7238359, 1.137699, 
    2.064613, 2.073012, 2.081761, 2.09466, 2.11086, 2.130509, 2.152609, 
    2.177809, 2.199157, 2.207506, 2.203255, 2.184504, 2.149503, 2.102503, 
    2.040804, 1.957256, 1.860509, 1.764763, 1.671468, 1.578573, 1.495178, 
    1.425783, 1.363387, 1.306641, 1.260243,
  1.275549, 1.258048, 1.224446, 1.189142, 1.155038, 1.121984, 1.090779, 
    1.063825, 1.042772, 1.025919, 1.011718, 1.001365, 0.9955142, 0.991763, 
    0.989512, 0.9875597, 0.9855085, 0.9831068, 0.980555, 0.978554, 0.9770029, 
    0.9754516, 0.9744508, 0.9735007, 0.9732504, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.9731502, 0.9735007, 0.9745512, 0.9771028, 0.9816549, 
    0.9882575, 0.9959105, 1.006264, 1.019669, 1.033023, 1.048479, 1.064934, 
    1.079838, 1.093792, 1.110196, 1.132251, 1.158156, 1.185809, 1.216614, 
    1.254518, 1.299474, 1.347581, 1.399538, 1.457996, 1.516854, 1.57436, 
    1.637465, 1.719367, 1.810856, 1.893344, 1.98283, 2.089264, 2.203145, 
    2.301281, 2.381218, 2.350271, 1.292165, 0.6600629, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.201591, 1.723507, 
    1.724553, 1.71705, 1.704297, 1.664397, 1.608797, 1.548546, 1.481296, 
    1.397544, 1.31184, 1.238285, 1.176631, 1.127928, 1.098974, 1.07802, 
    1.060915, 1.049512, 1.05136, 1.057014, 1.063016, 1.069719, 1.078176, 
    1.085282, 1.092738, 1.108195, 1.137102, 1.184562, 1.243222, 1.309084, 
    1.381943, 1.458097, 1.5472, 1.657652, 1.778654, 1.896853, 2.0119, 
    2.125599, 2.207602, 2.27635, 2.35035, 0.2369101, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5490705, 1.50655, 1.595716, 1.606768, 
    1.620621, 1.636825, 1.144872, 0, 0, 0, 0.4399638, 1.448294, 1.403789, 
    1.355284, 1.313277, 1.285023, 1.247322, 1.201221, 1.158072, 1.122523, 
    1.092223, 1.065974, 1.047525, 1.037026, 1.031076, 1.028075, 1.026225, 
    1.025525, 1.025525, 1.025525, 1.025525, 1.025525, 1.025525, 1.025525, 
    1.025525, 1.025525, 1.025525, 1.025525, 1.025525, 1.025025, 1.023474, 
    1.021523, 1.019272, 1.016272, 1.01292, 1.008068, 1.003317, 0.9987652, 
    0.9945637, 0.9906622, 0.9882611, 0.9862603, 0.9856594, 0.9881085, 
    0.9930074, 0.999756, 1.008255, 1.019754, 1.034303, 1.048503, 1.065153, 
    1.086054, 1.108856, 1.134007, 1.163009, 1.197412, 1.237716, 1.278521, 
    1.322128, 0.1333531, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.453912, 2.077865, 2.083164, 2.090013, 2.097562, 2.109262, 2.125211, 
    2.144261, 2.16576, 2.189759, 2.209207, 2.215506, 2.209905, 2.190104, 
    2.155155, 2.109006, 2.049208, 1.969762, 1.877866, 1.78777, 1.700825, 
    1.615131, 1.539336, 1.476541, 1.420045, 1.367548, 1.323399,
  1.350554, 1.331653, 1.294801, 1.254297, 1.214043, 1.174488, 1.136884, 
    1.104781, 1.079528, 1.058826, 1.041273, 1.028271, 1.020019, 1.014218, 
    1.009916, 1.004964, 1.000262, 0.9952098, 0.9896073, 0.9851049, 0.9817537, 
    0.9787529, 0.9760513, 0.9743505, 0.9735, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.9732503, 0.9735007, 0.9740013, 0.9746522, 0.975253, 0.9762043, 
    0.9770554, 0.9781569, 0.979008, 0.9798592, 0.9809105, 0.9814609, 
    0.9827617, 0.9847625, 0.9892135, 0.9967656, 1.006517, 1.01837, 1.034274, 
    1.053828, 1.074283, 1.097188, 1.121343, 1.142698, 1.162051, 1.184205, 
    1.212309, 1.244363, 1.277066, 1.31397, 1.358675, 1.412381, 1.470588, 
    1.534046, 1.605005, 1.676064, 1.744123, 1.815679, 1.895475, 1.972116, 
    2.039106, 2.110295, 2.193129, 2.280561, 2.355543, 2.414778, 1.23333, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.255483, 1.798397, 1.795795, 1.784794, 1.768542, 1.728441, 1.673943, 
    1.614795, 1.548647, 1.465048, 1.373845, 1.294292, 1.226988, 1.172433, 
    1.137629, 1.111276, 1.088072, 1.071118, 1.070616, 1.079768, 1.090672, 
    1.105479, 1.125088, 1.141294, 1.1568, 1.181155, 1.219461, 1.279318, 
    1.352127, 1.433136, 1.51514, 1.595592, 1.687943, 1.800194, 1.922795, 
    2.040595, 2.151742, 2.263991, 2.348192, 2.413839, 2.486838, 0.2505587, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7172419, 
    1.048756, 1.633268, 1.651071, 1.672424, 1.176021, 0, 0, 0, 0.22455, 
    1.121273, 1.464294, 1.408689, 1.358335, 1.324281, 1.28498, 1.238329, 
    1.195729, 1.160529, 1.13093, 1.105531, 1.088331, 1.079032, 1.073232, 
    1.069581, 1.067231, 1.066531, 1.066531, 1.066531, 1.066531, 1.066531, 
    1.066531, 1.066531, 1.066531, 1.066531, 1.066531, 1.066531, 1.066381, 
    1.065531, 1.063631, 1.06053, 1.056979, 1.052528, 1.047026, 1.040075, 
    1.033073, 1.025772, 1.01952, 1.013619, 1.009117, 1.006017, 1.003965, 
    1.004614, 1.007563, 1.012511, 1.01921, 1.028809, 1.042308, 1.056508, 
    1.073508, 1.095208, 1.12031, 1.147261, 1.178412, 1.216965, 1.262418, 
    1.309272, 1.361726, 0.7179259, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1135012, 1.133961, 1.128503, 0.3376498, 0, 0, 0, 1.46966, 2.098113, 
    2.102713, 2.108012, 2.114711, 2.125761, 2.14106, 2.15951, 2.18041, 
    2.202259, 2.219256, 2.223756, 2.217405, 2.197255, 2.163606, 2.119758, 
    2.063662, 1.989815, 1.904671, 1.821776, 1.742382, 1.665088, 1.597143, 
    1.541298, 1.490351, 1.441904, 1.399555,
  1.437558, 1.416907, 1.375754, 1.3298, 1.283547, 1.237643, 1.193889, 
    1.156236, 1.126783, 1.102581, 1.080928, 1.064876, 1.053524, 1.045322, 
    1.03797, 1.029918, 1.021265, 1.012262, 1.002609, 0.9943569, 0.9882547, 
    0.9832029, 0.9786019, 0.9755511, 0.9740006, 0.9731501, 0.973, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.973, 0.9731502, 0.9740006, 0.9748511, 0.9765519, 0.9791035, 0.9817553, 
    0.9851071, 0.9890599, 0.9934126, 0.997015, 1.000267, 1.003969, 1.008023, 
    1.013778, 1.020583, 1.030739, 1.043995, 1.058299, 1.074702, 1.096305, 
    1.121859, 1.147561, 1.174662, 1.202861, 1.228112, 1.250563, 1.276514, 
    1.309366, 1.346569, 1.384322, 1.426976, 1.47843, 1.541636, 1.610092, 
    1.6866, 1.772511, 1.858521, 1.939379, 2.021636, 2.096334, 2.160978, 
    2.21487, 2.269811, 2.330348, 2.39023, 1.813532, 1.216176, 0.1222469, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.303078, 1.862887, 1.856183, 1.842281, 1.82383, 1.785082, 1.734485, 
    1.679789, 1.618093, 1.538547, 1.445898, 1.363547, 1.291345, 1.230041, 
    1.188987, 1.156282, 1.126728, 1.103274, 1.099872, 1.112775, 1.13093, 
    1.157938, 1.189946, 1.216552, 1.240708, 1.273113, 1.318917, 1.387822, 
    1.471777, 1.562781, 1.649734, 1.732084, 1.825284, 1.938134, 2.060784, 
    2.178083, 2.286282, 2.396831, 2.481981, 2.543329, 2.614127, 0.2632577, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2456922, 
    1.245248, 1.684823, 1.710475, 1.470599, 0.8725904, 0.8660322, 0.08640797, 
    0, 0.7832741, 1.535047, 1.474645, 1.418192, 1.379039, 1.338139, 1.291289, 
    1.248238, 1.213038, 1.183788, 1.159038, 1.142489, 1.133538, 1.127388, 
    1.122637, 1.119736, 1.119036, 1.119036, 1.119036, 1.119036, 1.119036, 
    1.119036, 1.119036, 1.119036, 1.119036, 1.119036, 1.119036, 1.118736, 
    1.117286, 1.115136, 1.111035, 1.106184, 1.100284, 1.092983, 1.083981, 
    1.073979, 1.064278, 1.055626, 1.047574, 1.040673, 1.035771, 1.03192, 
    1.030169, 1.031118, 1.034267, 1.039166, 1.047265, 1.059314, 1.073514, 
    1.090514, 1.112814, 1.139765, 1.168266, 1.201317, 1.243419, 1.29232, 
    1.343022, 1.400724, 1.396722, 0.5480849, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.135886, 2.2654, 2.254751, 0.6747004, 0, 0, 0.5366706, 1.805661, 
    2.117662, 2.122212, 2.127012, 2.132862, 2.143662, 2.157911, 2.175511, 
    2.195209, 2.214708, 2.228806, 2.232005, 2.225405, 2.205906, 2.174708, 
    2.13401, 2.083163, 2.016419, 1.939925, 1.866031, 1.795286, 1.727042, 
    1.667598, 1.618802, 1.573156, 1.528758, 1.488059,
  1.533558, 1.511157, 1.466155, 1.414802, 1.362799, 1.311496, 1.261492, 
    1.21854, 1.184787, 1.156635, 1.131333, 1.11113, 1.096778, 1.085576, 
    1.074474, 1.062371, 1.049268, 1.035115, 1.020612, 1.007809, 0.9977568, 
    0.9894546, 0.982603, 0.9777516, 0.9752509, 0.9738006, 0.9730501, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 
    0.9730501, 0.9738006, 0.9752509, 0.9777524, 0.9816041, 0.9868559, 
    0.9930081, 1.000211, 1.009064, 1.018768, 1.027271, 1.035075, 1.044129, 
    1.055634, 1.069789, 1.084644, 1.103198, 1.124302, 1.144806, 1.166709, 
    1.193762, 1.223764, 1.252065, 1.280716, 1.310418, 1.33727, 1.36057, 
    1.388421, 1.424372, 1.465124, 1.507326, 1.554779, 1.612632, 1.685038, 
    1.764344, 1.854502, 1.957563, 2.061124, 2.155882, 2.244683, 2.31463, 
    2.370375, 2.414621, 2.455714, 2.495401, 2.135427, 0.6195248, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.341919, 1.911973, 1.898769, 1.881767, 1.862317, 1.82767, 1.783925, 
    1.737531, 1.684838, 1.613644, 1.524497, 1.443799, 1.3701, 1.303898, 
    1.255543, 1.215039, 1.177683, 1.146929, 1.140127, 1.157029, 1.183383, 
    1.223341, 1.267798, 1.305054, 1.33811, 1.378064, 1.430267, 1.50482, 
    1.595823, 1.693126, 1.783528, 1.866328, 1.958577, 2.069625, 2.190624, 
    2.306572, 2.412021, 2.52107, 2.601964, 2.65781, 2.724507, 1.417941, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4217563, 
    1.465823, 1.754328, 1.77453, 1.770782, 1.759685, 0.8860832, 0, 0.8232743, 
    1.614699, 1.553049, 1.493499, 1.450297, 1.408146, 1.360795, 1.317095, 
    1.281544, 1.251594, 1.226994, 1.210193, 1.200042, 1.193042, 1.187241, 
    1.184091, 1.183041, 1.183041, 1.183041, 1.183041, 1.183041, 1.183041, 
    1.183041, 1.183041, 1.183041, 1.183041, 1.183041, 1.182741, 1.181041, 
    1.17829, 1.17304, 1.166889, 1.159538, 1.150787, 1.139436, 1.126384, 
    1.114032, 1.102731, 1.092079, 1.082577, 1.075526, 1.069525, 1.065223, 
    1.064172, 1.065521, 1.06897, 1.075719, 1.086169, 1.100018, 1.117018, 
    1.140269, 1.168069, 1.19777, 1.23202, 1.27597, 1.326521, 1.37752, 
    1.43762, 1.512872, 1.35981, 0.4194899, 0, 0.09946615, 0.6962631, 0, 0, 0, 
    0, 0, 0.7954289, 2.156833, 2.26605, 2.256251, 0.6753004, 0, 0, 1.075254, 
    2.140708, 2.13601, 2.14056, 2.145009, 2.150509, 2.16116, 2.17556, 
    2.19251, 2.209458, 2.225806, 2.237705, 2.239754, 2.233405, 2.215506, 
    2.187758, 2.151761, 2.107015, 2.049021, 1.982827, 1.918533, 1.857739, 
    1.799045, 1.7484, 1.706303, 1.665957, 1.625108, 1.585559,
  1.632554, 1.608753, 1.560551, 1.504749, 1.448047, 1.392045, 1.336643, 
    1.28964, 1.252539, 1.221038, 1.192286, 1.168234, 1.150282, 1.13583, 
    1.120478, 1.103675, 1.085272, 1.065469, 1.045115, 1.026612, 1.012009, 
    0.999857, 0.9896049, 0.9818029, 0.9775016, 0.9749507, 0.9735506, 0.973, 
    0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.973, 0.9733504, 
    0.9736506, 0.9756014, 0.9785027, 0.9838544, 0.9911566, 1.000409, 
    1.011262, 1.023865, 1.03917, 1.056274, 1.070778, 1.085281, 1.102186, 
    1.122241, 1.144545, 1.166849, 1.192202, 1.219655, 1.245808, 1.27301, 
    1.304613, 1.337514, 1.368566, 1.399968, 1.43292, 1.462572, 1.487323, 
    1.516623, 1.554424, 1.598026, 1.643577, 1.694729, 1.758182, 1.837935, 
    1.92809, 2.032248, 2.153158, 2.275668, 2.386127, 2.477679, 2.542578, 
    2.593176, 2.631624, 2.662719, 2.68391, 1.88202, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.369212, 
    1.942812, 1.92366, 1.905259, 1.88616, 1.858715, 1.825272, 1.791029, 
    1.752238, 1.695898, 1.617207, 1.540559, 1.46776, 1.398858, 1.341453, 
    1.292298, 1.245943, 1.206138, 1.193684, 1.211533, 1.245486, 1.297342, 
    1.353999, 1.401554, 1.443159, 1.490013, 1.547965, 1.626818, 1.72212, 
    1.82297, 1.91437, 1.996068, 2.085466, 2.191713, 2.30886, 2.421808, 
    2.523906, 2.630003, 2.7031, 2.752797, 2.812993, 2.597737, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4484874, 1.517213, 
    1.804479, 1.827029, 1.827532, 1.820334, 1.628683, 0, 0.8655234, 1.700948, 
    1.641851, 1.581751, 1.535549, 1.492149, 1.444349, 1.400299, 1.363798, 
    1.333248, 1.307897, 1.289396, 1.278046, 1.269845, 1.263695, 1.260094, 
    1.259045, 1.259045, 1.259045, 1.259045, 1.259045, 1.259045, 1.259045, 
    1.259045, 1.259045, 1.259045, 1.259045, 1.258594, 1.256544, 1.253094, 
    1.246993, 1.239443, 1.230292, 1.219741, 1.20639, 1.190488, 1.175036, 
    1.160985, 1.147083, 1.134631, 1.12528, 1.116628, 1.109677, 1.105725, 
    1.105274, 1.106923, 1.112272, 1.121271, 1.133019, 1.150019, 1.173769, 
    1.20237, 1.233521, 1.269222, 1.315474, 1.368026, 1.420278, 1.48233, 
    1.55913, 1.650429, 1.299001, 0.9227528, 1.074652, 1.715453, 0.5210662, 0, 
    0, 0, 0, 1.58935, 2.27065, 2.2662, 2.25725, 0.6757502, 0, 0.3282567, 
    1.629349, 2.156459, 2.15346, 2.15841, 2.16226, 2.16751, 2.17826, 2.19326, 
    2.208508, 2.222707, 2.235855, 2.245404, 2.246754, 2.240754, 2.225505, 
    2.201458, 2.17076, 2.133064, 2.084119, 2.028374, 1.97428, 1.923685, 
    1.874941, 1.832695, 1.797049, 1.761752, 1.724003, 1.685554,
  1.728547, 1.704047, 1.653096, 1.594645, 1.535044, 1.475443, 1.417092, 
    1.367191, 1.32804, 1.294489, 1.262838, 1.235837, 1.214535, 1.196733, 
    1.176981, 1.155329, 1.131526, 1.105623, 1.07912, 1.054917, 1.035765, 
    1.019413, 1.005612, 0.9947103, 0.9885096, 0.9847592, 0.983059, 0.9825096, 
    0.9825096, 0.9825096, 0.9825095, 0.9825096, 0.9825096, 0.9825096, 
    0.9825095, 0.9825096, 0.9825096, 0.9828592, 0.9836594, 0.9865597, 
    0.9917608, 0.9997619, 1.011164, 1.025266, 1.041519, 1.060222, 1.083627, 
    1.10858, 1.130034, 1.151838, 1.176291, 1.204245, 1.232798, 1.26135, 
    1.292653, 1.325205, 1.355557, 1.386959, 1.422111, 1.458412, 1.492814, 
    1.527916, 1.564919, 1.59832, 1.625572, 1.656673, 1.695974, 1.741625, 
    1.789325, 1.843327, 1.911279, 1.997532, 2.097337, 2.214643, 2.352251, 
    2.492859, 2.615113, 2.706911, 2.770061, 2.819211, 2.855361, 2.879958, 
    2.737452, 0.9723694, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6895047, 1.852498, 1.927945, 
    1.912498, 1.899154, 1.88286, 1.864019, 1.845528, 1.825639, 1.791802, 
    1.732714, 1.66432, 1.59277, 1.520518, 1.454415, 1.395309, 1.339354, 
    1.288698, 1.266092, 1.279038, 1.317539, 1.378993, 1.446898, 1.503552, 
    1.552856, 1.605959, 1.669011, 1.751563, 1.849514, 1.951314, 2.040963, 
    2.11831, 2.201255, 2.29925, 2.408695, 2.515541, 2.611887, 2.710882, 
    2.775927, 2.818523, 2.871969, 2.798868, 1.065422, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9117659, 1.835431, 1.860079, 
    1.882579, 1.88653, 1.883132, 1.786027, 0.9512072, 1.381998, 1.791797, 
    1.7381, 1.679451, 1.631301, 1.587, 1.539751, 1.49515, 1.4578, 1.42675, 
    1.400349, 1.380249, 1.368048, 1.358648, 1.351697, 1.347597, 1.346547, 
    1.346547, 1.346547, 1.346547, 1.346547, 1.346547, 1.346547, 1.346547, 
    1.346547, 1.346547, 1.346547, 1.345947, 1.343297, 1.339246, 1.332446, 
    1.323495, 1.312795, 1.300344, 1.284842, 1.266091, 1.247289, 1.229887, 
    1.212586, 1.196884, 1.184532, 1.172881, 1.161628, 1.152674, 1.148271, 
    1.146319, 1.147816, 1.153663, 1.164014, 1.181714, 1.206515, 1.238618, 
    1.273021, 1.312673, 1.362976, 1.419728, 1.47578, 1.539881, 1.61688, 
    1.705029, 1.785276, 1.866223, 1.964616, 2.052063, 1.046506, 0, 0, 0, 0, 
    0.7940493, 2.157035, 2.26635, 2.258001, 1.46084, 0.2227742, 1.432231, 
    2.185757, 2.173559, 2.17191, 2.176909, 2.180509, 2.185859, 2.196259, 
    2.210008, 2.222507, 2.233955, 2.244754, 2.251753, 2.252753, 2.247453, 
    2.235054, 2.215007, 2.189259, 2.158262, 2.118167, 2.072422, 2.028276, 
    1.986931, 1.947385, 1.913339, 1.883792, 1.853194, 1.818446, 1.781697,
  1.81854, 1.79404, 1.742591, 1.683341, 1.622541, 1.561741, 1.502491, 
    1.45104, 1.41104, 1.37629, 1.342839, 1.313889, 1.291039, 1.27274, 
    1.255394, 1.236249, 1.215804, 1.192209, 1.166713, 1.143766, 1.12607, 
    1.111173, 1.097575, 1.085324, 1.077073, 1.070921, 1.06732, 1.06707, 
    1.06707, 1.06707, 1.062916, 1.055909, 1.049053, 1.042547, 1.037492, 
    1.043347, 1.050554, 1.058111, 1.05801, 1.06121, 1.068812, 1.079213, 
    1.094214, 1.109663, 1.118804, 1.130745, 1.148586, 1.178887, 1.20729, 
    1.235343, 1.266295, 1.300448, 1.33405, 1.367652, 1.403654, 1.440456, 
    1.473807, 1.508559, 1.54716, 1.587312, 1.625314, 1.664366, 1.706318, 
    1.74357, 1.773821, 1.807222, 1.848373, 1.894923, 1.943824, 2.000075, 
    2.071476, 2.163829, 2.271832, 2.400136, 2.552293, 2.706047, 2.829595, 
    2.919194, 2.982995, 3.033296, 3.070848, 3.091947, 1.503601, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.969776, 1.909537, 1.90024, 1.900047, 1.898605, 1.897514, 
    1.898273, 1.903236, 1.906609, 1.888936, 1.843852, 1.775655, 1.699453, 
    1.62635, 1.557846, 1.491091, 1.425482, 1.378315, 1.367797, 1.400691, 
    1.469094, 1.545347, 1.6093, 1.664852, 1.723355, 1.790406, 1.875807, 
    1.975208, 2.077057, 2.163255, 2.234052, 2.306247, 2.391289, 2.488633, 
    2.585527, 2.672272, 2.759966, 2.814661, 2.848757, 2.895104, 2.968352, 
    2.130452, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9430144, 1.896178, 1.917526, 1.937975, 1.944776, 1.945278, 1.945931, 
    1.937434, 1.917288, 1.884193, 1.837997, 1.7841, 1.7353, 1.6907, 1.64465, 
    1.600151, 1.562551, 1.530901, 1.50345, 1.48295, 1.46955, 1.459299, 
    1.451299, 1.446949, 1.445549, 1.445549, 1.445549, 1.445549, 1.445549, 
    1.445549, 1.445549, 1.445549, 1.445549, 1.445549, 1.445549, 1.444949, 
    1.442049, 1.437398, 1.429448, 1.419197, 1.407297, 1.392946, 1.374794, 
    1.352843, 1.330541, 1.309289, 1.288137, 1.268836, 1.252533, 1.236581, 
    1.219078, 1.203925, 1.195274, 1.187671, 1.183268, 1.184616, 1.196518, 
    1.216119, 1.244671, 1.282474, 1.320775, 1.364326, 1.419429, 1.47998, 
    1.53778, 1.601529, 1.676728, 1.760675, 1.835773, 1.909469, 1.994813, 
    2.07526, 1.056004, 0, 0, 0, 0.5677761, 1.136253, 2.157255, 2.2665, 
    2.25875, 2.245401, 0.4456505, 2.211554, 2.198506, 2.189307, 2.188807, 
    2.193557, 2.197758, 2.203357, 2.213107, 2.224406, 2.234505, 2.243554, 
    2.251853, 2.257452, 2.258002, 2.253653, 2.243604, 2.227355, 2.207008, 
    2.182111, 2.150265, 2.114018, 2.078522, 2.045826, 2.014329, 1.987182, 
    1.963035, 1.936787, 1.905388, 1.87099,
  1.902034, 1.878235, 1.828085, 1.769986, 1.710287, 1.650588, 1.591989, 
    1.541039, 1.50154, 1.46694, 1.43289, 1.404041, 1.383043, 1.370446, 
    1.362901, 1.354456, 1.34481, 1.332015, 1.315619, 1.300072, 1.288824, 
    1.278275, 1.265524, 1.252373, 1.241572, 1.231471, 1.224019, 1.222568, 
    1.222568, 1.222568, 1.213267, 1.197816, 1.182565, 1.169415, 1.164019, 
    1.182324, 1.20333, 1.225386, 1.231342, 1.234942, 1.24084, 1.249537, 
    1.261383, 1.266525, 1.256818, 1.24956, 1.247701, 1.272045, 1.302794, 
    1.335646, 1.372198, 1.41115, 1.449052, 1.486603, 1.527105, 1.567557, 
    1.603808, 1.641809, 1.683761, 1.728063, 1.769564, 1.813166, 1.859818, 
    1.90132, 1.934321, 1.969422, 2.011321, 2.058071, 2.107821, 2.164921, 
    2.237671, 2.333872, 2.447574, 2.584377, 2.748832, 2.911536, 3.030834, 
    3.120734, 3.187536, 3.24229, 3.285593, 3.309646, 0.3313096, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.1879483, 1.876784, 1.873486, 1.888743, 1.906202, 1.925111, 
    1.950023, 1.993493, 2.053371, 2.096147, 2.093868, 2.047134, 1.97544, 
    1.896888, 1.821636, 1.74183, 1.647663, 1.559144, 1.509076, 1.517812, 
    1.577151, 1.653699, 1.722801, 1.781751, 1.842301, 1.910701, 1.997551, 
    2.097701, 2.1979, 2.279598, 2.342044, 2.401338, 2.470281, 2.551523, 
    2.634266, 2.70756, 2.782054, 2.825249, 2.849744, 2.888241, 2.958039, 
    2.123092, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9710106, 1.95007, 1.968469, 1.987069, 1.995769, 1.99957, 2.005522, 
    2.003575, 1.991778, 1.969133, 1.933338, 1.886992, 1.840794, 1.797745, 
    1.754097, 1.711298, 1.674548, 1.643399, 1.61595, 1.595299, 1.58155, 
    1.57095, 1.562299, 1.557449, 1.556049, 1.556049, 1.556049, 1.556049, 
    1.556049, 1.556049, 1.556049, 1.556049, 1.556049, 1.556049, 1.556049, 
    1.555449, 1.552549, 1.547199, 1.538399, 1.526898, 1.513297, 1.496896, 
    1.475795, 1.450594, 1.424792, 1.399691, 1.373739, 1.349836, 1.327533, 
    1.306631, 1.285131, 1.267431, 1.258031, 1.248632, 1.242784, 1.243735, 
    1.258787, 1.282239, 1.313489, 1.350886, 1.387283, 1.430682, 1.486331, 
    1.546479, 1.603528, 1.665127, 1.737076, 1.815523, 1.884771, 1.951568, 
    2.024963, 2.095258, 1.607714, 1.09708, 1.112693, 1.124503, 1.699729, 
    2.2704, 2.2707, 2.2665, 2.25875, 2.24715, 0.335256, 1.440193, 2.210255, 
    2.203706, 2.204257, 2.209057, 1.657285, 1.885624, 2.228006, 2.236955, 
    2.244754, 2.251853, 2.257552, 2.262302, 2.262502, 2.258852, 2.251153, 
    2.238405, 2.222756, 2.203609, 2.178861, 2.150964, 2.123518, 2.098521, 
    2.074224, 2.053026, 2.033778, 2.01173, 1.983831, 1.951933,
  1.978528, 1.956129, 1.90863, 1.853732, 1.797283, 1.740485, 1.684937, 
    1.636488, 1.598789, 1.565639, 1.533341, 1.506892, 1.492045, 1.488048, 
    1.490552, 1.493356, 1.49381, 1.491114, 1.484818, 1.47592, 1.468321, 
    1.45792, 1.443019, 1.427118, 1.413316, 1.399865, 1.388113, 1.384062, 
    1.384313, 1.384212, 1.373662, 1.355711, 1.338561, 1.327363, 1.332117, 
    1.363622, 1.398077, 1.433933, 1.454138, 1.461891, 1.462839, 1.464837, 
    1.464881, 1.451674, 1.424568, 1.399912, 1.379755, 1.388749, 1.416297, 
    1.452598, 1.4937, 1.537202, 1.579053, 1.620205, 1.665457, 1.709158, 
    1.748058, 1.788709, 1.83286, 1.88001, 1.923811, 1.971112, 2.021313, 
    2.066063, 2.101564, 2.137414, 2.178914, 2.225914, 2.275314, 2.332414, 
    2.404864, 2.503115, 2.620566, 2.762867, 2.93642, 3.106623, 3.223572, 
    3.315673, 3.389076, 3.452631, 3.505335, 2.255753, 0.1712182, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.09292845, 1.201596, 1.843239, 1.869442, 1.9076, 1.948809, 
    2.006023, 2.103495, 2.22767, 2.331794, 2.380863, 2.373579, 2.32209, 
    2.243642, 2.164391, 2.065882, 1.930615, 1.797299, 1.706833, 1.679719, 
    1.712307, 1.779252, 1.8473, 1.905198, 1.963797, 2.030096, 2.112292, 
    2.203935, 2.294279, 2.364422, 2.412765, 2.454807, 2.502697, 2.561737, 
    2.622476, 2.676918, 2.742866, 2.777664, 2.792211, 2.823208, 2.742945, 
    1.056187, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3008313, 1.496144, 1.996167, 2.011666, 2.029566, 2.040016, 2.046968, 
    2.05707, 2.060571, 2.055774, 2.042226, 2.01678, 1.979783, 1.940037, 
    1.901339, 1.86159, 1.822542, 1.788794, 1.760295, 1.734896, 1.715598, 
    1.702798, 1.692448, 1.684249, 1.679449, 1.678049, 1.678049, 1.678049, 
    1.678049, 1.678049, 1.678049, 1.678049, 1.678049, 1.678049, 1.678049, 
    1.678049, 1.677449, 1.674299, 1.668349, 1.658398, 1.645598, 1.630297, 
    1.611846, 1.587795, 1.559194, 1.529542, 1.500591, 1.468638, 1.437034, 
    1.407531, 1.38188, 1.358729, 1.340928, 1.332028, 1.324179, 1.32103, 
    1.327433, 1.347285, 1.375536, 1.406336, 1.438485, 1.468532, 1.509431, 
    1.559128, 1.616027, 1.671026, 1.730225, 1.797973, 1.580048, 1.449897, 
    1.994016, 2.056812, 2.115308, 2.160505, 2.195903, 2.225051, 2.24745, 
    2.264, 2.2704, 2.2707, 2.2665, 2.259001, 1.461646, 0.2239496, 1.449703, 
    2.221755, 2.218106, 1.216585, 1.107597, 1.114003, 1.900662, 2.240554, 
    2.247504, 2.253253, 2.258302, 2.262502, 2.265801, 2.266001, 2.263051, 
    2.257252, 2.247803, 2.236255, 2.222257, 2.203909, 2.183262, 2.162764, 
    2.144366, 2.126219, 2.11057, 2.095522, 2.077673, 2.053325, 2.024526,
  2.047523, 2.026873, 1.984075, 1.934077, 1.882779, 1.830781, 1.780383, 
    1.736535, 1.702287, 1.671888, 1.642439, 1.620841, 1.614044, 1.619147, 
    1.631651, 1.645254, 1.655308, 1.661861, 1.664163, 1.661015, 1.654315, 
    1.642014, 1.624363, 1.604211, 1.58681, 1.569409, 1.553207, 1.546406, 
    1.546306, 1.546206, 1.535056, 1.515555, 1.498305, 1.491207, 1.50671, 
    1.551265, 1.598569, 1.647624, 1.681778, 1.696931, 1.69508, 1.691128, 
    1.677774, 1.648269, 1.606315, 1.568912, 1.53776, 1.537259, 1.562559, 
    1.603261, 1.649263, 1.697765, 1.743816, 1.788817, 1.835767, 1.878365, 
    1.915813, 1.954662, 1.99741, 2.044009, 2.088059, 2.136309, 2.192762, 
    2.244867, 2.28582, 2.32292, 2.36352, 2.410269, 2.458569, 2.514218, 
    2.585868, 2.678563, 2.791309, 2.932057, 3.110157, 3.286159, 3.402809, 
    3.499161, 3.582215, 3.658119, 3.720322, 1.122472, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.2729612, 1.369433, 1.852446, 1.904298, 1.973209, 2.075778, 2.229096, 
    2.416418, 2.580338, 2.678854, 2.712618, 2.69138, 2.623836, 2.53563, 
    2.408218, 2.231054, 2.054089, 1.923575, 1.859913, 1.862202, 1.912495, 
    1.973042, 2.02589, 2.080038, 2.138534, 2.207528, 2.282122, 2.354816, 
    2.40801, 2.439255, 2.460698, 2.48409, 2.517081, 2.553474, 2.59127, 
    2.649966, 2.678764, 2.68346, 2.705306, 2.480058, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6066037, 2.026012, 2.035962, 
    2.048762, 2.06476, 2.077011, 2.088913, 2.102664, 2.110766, 2.111017, 
    2.103569, 2.086872, 2.060175, 2.029279, 1.996631, 1.961633, 1.927735, 
    1.898286, 1.873037, 1.850838, 1.833889, 1.822289, 1.81314, 1.80614, 
    1.80159, 1.80054, 1.80054, 1.80054, 1.80054, 1.80054, 1.80054, 1.80054, 
    1.80054, 1.80054, 1.80054, 1.80054, 1.79979, 1.79604, 1.78984, 1.77934, 
    1.76544, 1.74954, 1.72979, 1.70419, 1.673089, 1.640789, 1.607437, 
    1.568535, 1.528883, 1.49253, 1.462129, 1.437278, 1.418628, 1.409028, 
    1.401878, 1.400228, 1.410328, 1.432528, 1.463828, 1.494278, 1.286864, 
    1.154254, 1.583773, 1.625871, 1.682372, 1.736772, 1.793271, 1.856719, 
    1.632468, 1.496349, 2.033163, 2.08811, 2.136107, 2.172254, 2.202452, 
    2.228601, 2.248851, 2.264, 2.2704, 2.2707, 2.26635, 1.69486, 0.3381661, 
    0.2238003, 2.236803, 2.233004, 1.447813, 0.2233506, 1.122225, 1.68314, 
    2.245804, 2.251004, 2.256053, 2.260002, 2.263252, 2.266401, 2.268301, 
    2.268501, 2.266601, 2.262352, 2.255702, 2.247754, 2.238055, 2.225406, 
    2.210758, 2.196261, 2.183512, 2.170664, 2.159466, 2.148267, 2.133918, 
    2.113719, 2.088421,
  2.107017, 2.088817, 2.051569, 2.007571, 1.962523, 1.917125, 1.872427, 
    1.834229, 1.80428, 1.777481, 1.751282, 1.736935, 1.738788, 1.75324, 
    1.776594, 1.800947, 1.821051, 1.837304, 1.848557, 1.851159, 1.844309, 
    1.829758, 1.808757, 1.784156, 1.762304, 1.739402, 1.718301, 1.708449, 
    1.707049, 1.706699, 1.694599, 1.674398, 1.657298, 1.6549, 1.680353, 
    1.737256, 1.79631, 1.857113, 1.902916, 1.923767, 1.920567, 1.912816, 
    1.889214, 1.847411, 1.795058, 1.750757, 1.716357, 1.714907, 1.743559, 
    1.791461, 1.844664, 1.899116, 1.949818, 1.997718, 2.043068, 2.080816, 
    2.113565, 2.147013, 2.184011, 2.226409, 2.268558, 2.316658, 2.382311, 
    2.446715, 2.496567, 2.536268, 2.574568, 2.618516, 2.663564, 2.715263, 
    2.78181, 2.858454, 2.956549, 3.086845, 3.263043, 3.441843, 3.559043, 
    3.661546, 3.75755, 3.849656, 2.909689, 0.5768461, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.9117508, 1.848351, 1.904152, 1.996556, 2.151522, 2.356537, 
    2.603655, 2.824172, 2.968335, 3.041096, 3.052706, 3.005614, 2.907863, 
    2.745702, 2.52859, 2.307026, 2.137564, 2.039154, 2.011695, 2.041039, 
    2.090284, 2.136032, 2.181329, 2.226824, 2.279019, 2.337514, 2.393409, 
    2.430905, 2.44725, 2.450996, 2.451989, 2.461033, 2.479228, 2.507225, 
    2.554221, 2.57687, 2.570966, 2.580813, 2.359313, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6178536, 2.063012, 2.071761, 
    2.08216, 2.094659, 2.107509, 2.12351, 2.13976, 2.151161, 2.155512, 
    2.153564, 2.144516, 2.127869, 2.106772, 2.080774, 2.051526, 2.022277, 
    1.996778, 1.974779, 1.95573, 1.940681, 1.930282, 1.922332, 1.916132, 
    1.912232, 1.911532, 1.911532, 1.911532, 1.911532, 1.911532, 1.911532, 
    1.911532, 1.911532, 1.911532, 1.911532, 1.911482, 1.910432, 1.907032, 
    1.900833, 1.890782, 1.876933, 1.861033, 1.841633, 1.816183, 1.784934, 
    1.752284, 1.716134, 1.672032, 1.627031, 1.58503, 1.549328, 1.519575, 
    1.499024, 1.486273, 1.47492, 0.7951544, 0.7249551, 0.7357985, 0.7518887, 
    0.7671293, 0.7905161, 1.22301, 1.647118, 1.687169, 1.74567, 1.80052, 
    1.854669, 1.914418, 1.973216, 2.024264, 2.072513, 2.120861, 2.159658, 
    2.188256, 2.212654, 2.235153, 2.252301, 2.2645, 2.2704, 2.15723, 
    1.132405, 0.5651532, 0, 0.1120313, 1.119863, 1.118564, 0.3354941, 
    1.125702, 2.248253, 2.251753, 2.255603, 2.259452, 2.262752, 2.265251, 
    2.267051, 2.26895, 2.27015, 2.27025, 2.269301, 2.266451, 2.262302, 
    2.257002, 2.250654, 2.242455, 2.233106, 2.223758, 2.215459, 2.20711, 
    2.199711, 2.191512, 2.180513, 2.164164, 2.142465,
  2.156012, 2.140613, 2.108214, 2.070715, 2.032267, 1.993469, 1.955321, 
    1.922272, 1.896523, 1.873224, 1.851125, 1.845328, 1.85678, 1.881183, 
    1.916137, 1.95279, 1.984293, 2.011596, 2.0343, 2.043952, 2.037302, 
    2.021202, 1.996751, 1.9678, 1.940048, 1.910896, 1.883844, 1.869343, 
    1.866042, 1.864492, 1.851142, 1.830241, 1.813542, 1.815743, 1.850445, 
    1.918298, 1.98755, 2.058203, 2.111654, 2.135755, 2.132055, 2.121704, 
    2.091152, 2.041251, 1.98355, 1.9374, 1.90265, 1.904752, 1.940054, 
    1.996356, 2.058559, 2.120911, 2.177813, 2.227714, 2.271463, 2.305763, 
    2.334061, 2.36166, 2.391458, 2.426405, 2.463554, 2.511203, 2.584405, 
    2.658957, 2.717059, 2.76046, 2.79636, 2.834658, 2.874057, 2.918354, 
    2.971249, 3.027293, 3.106787, 3.220933, 3.388029, 3.565178, 3.683279, 
    3.79158, 3.901984, 3.388554, 0.9972154, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9170021, 1.857454, 1.913203, 2.018857, 2.222019, 2.475231, 2.775644, 
    3.048108, 3.234318, 3.342477, 3.385685, 3.362442, 3.262091, 3.066533, 
    2.810322, 2.546912, 2.340553, 2.209794, 2.153786, 2.158229, 2.190524, 
    2.224219, 2.257366, 2.289913, 2.326509, 2.370105, 2.410551, 2.434998, 
    2.441496, 2.433995, 2.419342, 2.410638, 2.416486, 2.435983, 2.47048, 
    2.482776, 2.466974, 2.46377, 1.269549, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6291029, 2.10001, 2.107209, 2.115109, 
    2.124708, 2.137758, 2.155709, 2.173309, 2.186759, 2.19426, 2.196861, 
    2.194563, 2.186115, 2.173517, 2.154269, 2.13047, 2.105821, 2.084022, 
    2.065373, 2.049174, 2.036124, 2.027024, 2.019675, 2.014575, 2.011225, 
    2.010525, 2.010525, 2.010525, 2.010525, 2.010525, 2.010525, 2.010525, 
    2.010525, 2.010525, 2.010525, 2.010475, 2.009575, 2.006525, 2.000675, 
    1.990875, 1.977925, 1.962526, 1.944326, 1.919726, 1.889577, 1.857026, 
    1.819226, 1.772926, 1.724625, 1.678524, 1.638724, 1.605724, 1.583724, 
    1.567273, 0.9936748, 0.07515971, 0.2423798, 0.4039663, 0, 0, 0.5020561, 
    1.682269, 1.709217, 1.749166, 1.808316, 1.862766, 1.915116, 1.971165, 
    2.023063, 2.068511, 2.11186, 2.152858, 2.184306, 2.207255, 2.226353, 
    2.243752, 1.917119, 1.699447, 2.2704, 2.0439, 0, 0, 0, 0, 0, 0, 0, 
    1.125618, 2.257602, 2.260002, 2.262751, 2.265451, 2.267451, 2.269001, 
    2.269851, 2.270951, 2.2715, 2.2715, 2.2708, 2.269001, 2.266751, 2.263752, 
    2.260052, 2.255453, 2.250154, 2.245005, 2.240206, 2.235106, 2.230807, 
    2.225258, 2.217258, 2.204209, 2.18621,
  2.194508, 2.181558, 2.15431, 2.123361, 2.091512, 2.058964, 2.027265, 
    1.999816, 1.978017, 1.958318, 1.94097, 1.944072, 1.965274, 2.000476, 
    2.047729, 2.097932, 2.142035, 2.181938, 2.217541, 2.235994, 2.232045, 
    2.215495, 2.188644, 2.155444, 2.121792, 2.086391, 2.052439, 2.032588, 
    2.026037, 2.021936, 2.007086, 1.984735, 1.969036, 1.975737, 2.018488, 
    2.09539, 2.172792, 2.250543, 2.308944, 2.334895, 2.331044, 2.318444, 
    2.282143, 2.226041, 2.16504, 2.11909, 2.085841, 2.092242, 2.133793, 
    2.197394, 2.268146, 2.340298, 2.40555, 2.458902, 2.502852, 2.535502, 
    2.560301, 2.58265, 2.604898, 2.631146, 2.660545, 2.705343, 2.782994, 
    2.864745, 2.929797, 2.976998, 3.011047, 3.043296, 3.076545, 3.110492, 
    3.145338, 3.177732, 3.235027, 3.328722, 3.480517, 3.650265, 3.766514, 
    3.878214, 3.997265, 2.860911, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9262524, 1.873854, 1.927303, 2.038053, 2.272007, 2.568616, 2.915226, 
    3.233486, 3.457044, 3.596951, 3.668757, 3.667762, 3.574065, 3.356112, 
    3.062904, 2.762546, 2.522288, 2.361132, 2.274874, 2.251818, 2.264264, 
    2.283361, 2.304508, 2.326556, 2.351254, 2.381901, 2.409799, 2.426098, 
    2.428247, 2.414996, 2.392144, 2.372592, 2.36874, 2.378538, 2.400035, 
    2.396481, 2.371729, 2.355726, 0.2353476, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6393022, 2.134007, 2.140157, 2.146557, 
    2.154557, 2.168007, 2.187757, 2.207708, 2.222558, 2.231759, 2.237459, 
    2.24066, 2.239112, 2.232763, 2.219064, 2.199015, 2.178365, 2.160266, 
    2.144617, 2.131117, 2.119918, 2.112018, 2.105868, 2.101568, 2.098569, 
    2.097518, 2.097519, 2.097519, 2.097519, 2.097518, 2.097519, 2.097519, 
    2.097519, 2.097518, 2.097519, 2.097519, 2.097069, 2.094019, 2.088519, 
    2.079369, 2.067069, 2.052519, 2.035169, 2.01172, 1.98302, 1.95077, 
    1.91152, 1.86477, 1.81482, 1.76802, 1.728921, 1.698172, 1.419754, 
    0.8051306, 0.8297102, 0.8446372, 1.093429, 1.26471, 0.8716996, 0.8858561, 
    1.153143, 1.758519, 1.783519, 1.821669, 1.586384, 1.442544, 1.978015, 
    2.027613, 2.071762, 2.11026, 2.147008, 2.180906, 2.206105, 2.224004, 
    2.238053, 2.250851, 1.921357, 1.70151, 2.27055, 1.135083, 0, 0, 0, 0, 0, 
    0, 0.7931136, 1.246468, 2.263951, 2.265501, 2.267401, 2.269001, 2.27015, 
    2.271, 2.2715, 2.27195, 2.272, 2.272, 2.27165, 2.27055, 2.269551, 
    2.268251, 2.266601, 2.264452, 2.261902, 2.259753, 2.257953, 2.255554, 
    2.253254, 2.249754, 2.243805, 2.233755, 2.219456,
  2.222004, 2.211505, 2.189856, 2.165357, 2.139758, 2.113809, 2.088261, 
    2.066362, 2.048512, 2.032763, 2.021164, 2.032816, 2.063768, 2.10977, 
    2.169822, 2.234225, 2.291778, 2.34548, 2.394833, 2.423635, 2.425287, 
    2.411188, 2.383988, 2.347887, 2.309536, 2.268385, 2.228034, 2.202883, 
    2.191782, 2.183831, 2.165681, 2.14173, 2.127031, 2.138231, 2.187532, 
    2.271684, 2.355785, 2.438136, 2.499836, 2.527386, 2.522786, 2.507335, 
    2.464684, 2.402333, 2.337532, 2.290582, 2.258382, 2.266982, 2.312283, 
    2.381384, 2.459335, 2.540886, 2.613287, 2.669938, 2.713187, 2.742886, 
    2.764786, 2.782134, 2.796333, 2.813081, 2.834279, 2.876829, 2.959131, 
    3.048983, 3.122284, 3.173886, 3.207236, 3.234285, 3.261033, 3.284281, 
    3.299877, 3.306572, 3.339017, 3.408213, 3.539408, 3.695805, 3.805503, 
    3.914852, 4.033852, 2.887151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8637797, 
    0.9447605, 1.406431, 1.891553, 1.940952, 2.049452, 2.294753, 2.625108, 
    3.010715, 3.367371, 3.622777, 3.790682, 3.887886, 3.90679, 3.827293, 
    3.600792, 3.276937, 2.944081, 2.673276, 2.48367, 2.367065, 2.31706, 
    2.311007, 2.317904, 2.329603, 2.344202, 2.362501, 2.3843, 2.404549, 
    2.416849, 2.416248, 2.399898, 2.371997, 2.344545, 2.329743, 2.327541, 
    2.334588, 2.314034, 2.279983, 2.25083, 0.2244979, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3219271, 1.620298, 2.170306, 
    2.176055, 2.183555, 2.198506, 2.220807, 2.244007, 2.260207, 2.270508, 
    2.278358, 2.285259, 2.288659, 2.28676, 2.27646, 2.25851, 2.239961, 
    2.224761, 2.212362, 2.201162, 2.192063, 2.185263, 2.180563, 2.176613, 
    2.174063, 2.173013, 2.173013, 2.173013, 2.173013, 2.173013, 2.173013, 
    2.173013, 2.173013, 2.173013, 2.173013, 2.173013, 2.172713, 2.170263, 
    2.165014, 2.156363, 2.144714, 2.130764, 2.114014, 2.091714, 2.064164, 
    2.032264, 1.993364, 1.947665, 1.898415, 1.855016, 1.819317, 0.9653522, 
    0.6052688, 0, 1.214864, 1.74187, 1.755971, 1.77352, 1.788968, 1.814717, 
    1.833266, 1.840766, 1.865765, 1.901865, 1.35941, 1.008006, 2.040511, 
    1.238638, 2.118458, 2.149257, 2.178305, 2.205454, 2.224753, 2.237752, 
    2.247602, 2.256901, 2.2642, 1.700784, 1.134917, 0.1135066, 0, 0, 0, 0, 0, 
    0.5674666, 1.92738, 2.267501, 2.268151, 2.269001, 2.2702, 2.271, 2.2715, 
    2.27175, 2.272, 2.272, 2.272, 2.272, 2.272, 2.27155, 2.27135, 2.271, 
    2.270651, 2.270001, 2.269351, 2.268751, 2.268502, 2.268002, 2.267052, 
    2.264752, 2.260352, 2.252803, 2.241853,
  2.239502, 2.231802, 2.215853, 2.197354, 2.177755, 2.158156, 2.138707, 
    2.121908, 2.108508, 2.096859, 2.09086, 2.111211, 2.152013, 2.208564, 
    2.281866, 2.360518, 2.431771, 2.499523, 2.563625, 2.604227, 2.613528, 
    2.605329, 2.58088, 2.54478, 2.50353, 2.457729, 2.412029, 2.381528, 
    2.365527, 2.353026, 2.329926, 2.303925, 2.289525, 2.304526, 2.359527, 
    2.449527, 2.538528, 2.624028, 2.687778, 2.716079, 2.709778, 2.690177, 
    2.640626, 2.570975, 2.501524, 2.451674, 2.417923, 2.425973, 2.472273, 
    2.544473, 2.628074, 2.718325, 2.799027, 2.861528, 2.905479, 2.932779, 
    2.951529, 2.962928, 2.968626, 2.974375, 2.986273, 3.023721, 3.108371, 
    3.205722, 3.287773, 3.345324, 3.380324, 3.403724, 3.425023, 3.437922, 
    3.433469, 3.413765, 3.41951, 3.460956, 3.567302, 3.705799, 3.803497, 
    3.903295, 4.015393, 2.871044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6953121, 
    1.838784, 1.901854, 1.891503, 1.906702, 1.950101, 2.0544, 2.299999, 
    2.643249, 3.053051, 3.438805, 3.719258, 3.911161, 4.030564, 4.066717, 
    3.999768, 3.77602, 3.43937, 3.083918, 2.789265, 2.575462, 2.432308, 
    2.359705, 2.338003, 2.334152, 2.339251, 2.3501, 2.36575, 2.38315, 
    2.399649, 2.409899, 2.407999, 2.390349, 2.359399, 2.326148, 2.300497, 
    2.284995, 2.276342, 2.243741, 2.20149, 1.420863, 0.1094666, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.098002, 2.198804, 
    2.203754, 2.212504, 2.230005, 2.255555, 2.281456, 2.299356, 2.310506, 
    2.319556, 2.328757, 2.334907, 2.335507, 2.326307, 2.309007, 2.291257, 
    2.278007, 2.268608, 2.259658, 2.252508, 2.247008, 2.243259, 2.240059, 
    2.237859, 2.237509, 2.237509, 2.237509, 2.237509, 2.237509, 2.237509, 
    2.237509, 2.237509, 2.237509, 2.237509, 2.237509, 2.237059, 2.234509, 
    2.229859, 2.221409, 2.210359, 2.197009, 2.180859, 2.159259, 2.132659, 
    2.10101, 2.06376, 2.02061, 1.974261, 1.936012, 1.225555, 0.09277168, 0, 
    0, 1.288011, 1.850167, 1.866617, 1.880267, 1.884815, 1.025696, 0.9367641, 
    0.9407129, 1.650122, 1.978462, 1.408757, 1.037004, 1.34963, 0.3191689, 
    2.158806, 2.182255, 1.426716, 2.113069, 2.238202, 1.683829, 1.916848, 
    2.148516, 1.132604, 0.566827, 0, 0, 0, 0, 0, 0, 0.3407539, 1.702923, 
    2.27, 2.27005, 2.2705, 2.271, 2.2715, 2.27195, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.27185, 2.27075, 2.2679, 2.262351, 2.254251,
  2.251001, 2.245751, 2.234852, 2.221702, 2.207753, 2.193804, 2.180104, 
    2.167955, 2.158505, 2.150805, 2.150206, 2.180107, 2.230508, 2.297359, 
    2.383311, 2.474962, 2.560014, 2.641916, 2.721067, 2.775269, 2.79377, 
    2.793021, 2.775172, 2.742423, 2.700522, 2.652323, 2.602472, 2.566822, 
    2.546021, 2.52872, 2.50047, 2.470319, 2.455019, 2.472969, 2.53257, 
    2.62757, 2.720271, 2.808071, 2.872721, 2.900621, 2.891771, 2.86682, 
    2.809519, 2.731168, 2.654767, 2.599016, 2.560815, 2.564364, 2.609014, 
    2.681314, 2.770865, 2.873066, 2.970269, 3.047521, 3.099622, 3.129123, 
    3.145773, 3.150872, 3.147671, 3.139119, 3.135767, 3.158315, 3.236264, 
    3.335213, 3.424264, 3.488815, 3.527565, 3.550465, 3.567515, 3.571264, 
    3.547412, 3.499859, 3.477005, 3.488452, 3.566198, 3.682296, 3.761493, 
    3.846291, 3.945889, 2.815742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9545182, 1.04779, 
    1.030236, 1.703071, 1.961903, 1.925953, 1.910752, 1.918301, 1.9532, 
    2.050399, 2.289748, 2.628147, 3.040246, 3.438696, 3.735498, 3.944799, 
    4.082251, 4.132702, 4.077004, 3.863805, 3.532806, 3.173507, 2.867507, 
    2.638155, 2.475954, 2.386552, 2.353001, 2.34045, 2.3405, 2.3498, 
    2.364249, 2.3801, 2.3957, 2.4062, 2.40525, 2.3882, 2.3572, 2.3205, 
    2.2865, 2.259148, 2.235647, 2.196096, 1.621625, 0.3221263, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.110251, 2.223653, 
    2.229453, 2.241253, 2.261503, 2.290154, 2.318354, 2.336854, 2.347754, 
    2.357254, 2.367754, 2.375054, 2.375754, 2.365954, 2.348054, 2.330854, 
    2.320004, 2.313004, 2.306605, 2.301455, 2.297255, 2.294105, 2.292005, 
    2.290355, 2.290255, 2.290505, 2.290505, 2.290505, 2.290505, 2.290505, 
    2.290505, 2.290505, 2.290505, 2.290505, 2.290505, 2.289905, 2.287256, 
    2.282856, 2.274856, 2.263855, 2.250755, 2.235206, 2.214706, 2.189106, 
    2.159256, 2.124856, 2.085107, 2.042908, 2.011008, 0.5994026, 0, 0, 0, 
    0.6623985, 1.054806, 1.987415, 1.481896, 0.9669288, 0.09667788, 0, 0, 
    0.6970406, 1.946784, 1.453205, 0.5251299, 0.3150779, 1.095051, 2.193154, 
    2.209753, 1.44813, 2.128177, 2.248451, 1.69188, 1.922978, 1.131643, 0, 
    0.5681299, 0.340878, 0, 0, 0.5681299, 1.13626, 1.13626, 1.476832, 2.2715, 
    2.2715, 2.2715, 2.2715, 2.27175, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.2715, 2.26995, 2.266401, 2.261001,
  2.259501, 2.256001, 2.248901, 2.240401, 2.231502, 2.222252, 2.213502, 
    2.205353, 2.199253, 2.194903, 2.199553, 2.239154, 2.299505, 2.376656, 
    2.473906, 2.577957, 2.675008, 2.769259, 2.86256, 2.930011, 2.957262, 
    2.964562, 2.955013, 2.928163, 2.887764, 2.839314, 2.787363, 2.747613, 
    2.722013, 2.699913, 2.665462, 2.629411, 2.612011, 2.631711, 2.695562, 
    2.794962, 2.891012, 2.981112, 3.047063, 3.074313, 3.063013, 3.032812, 
    2.966961, 2.878911, 2.79351, 2.729459, 2.683709, 2.679508, 2.719507, 
    2.790307, 2.889408, 3.01171, 3.134262, 3.235114, 3.304066, 3.341067, 
    3.357517, 3.356817, 3.342416, 3.312314, 3.282761, 3.280509, 3.341457, 
    3.435157, 3.527506, 3.597456, 3.641857, 3.667157, 3.682508, 3.679657, 
    3.638206, 3.562504, 3.509501, 3.490449, 3.538997, 3.629795, 3.686993, 
    3.753292, 3.83309, 2.727192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5375819, 1.070613, 2.014616, 
    2.0949, 2.0625, 2.022751, 1.983652, 1.948902, 1.928501, 1.927351, 1.9522, 
    2.039499, 2.270748, 2.599648, 2.999546, 3.391195, 3.692495, 3.913296, 
    4.065597, 4.129698, 4.085499, 3.88345, 3.564751, 3.216152, 2.913753, 
    2.679603, 2.506352, 2.404651, 2.361751, 2.3416, 2.3377, 2.3463, 2.36075, 
    2.3766, 2.3933, 2.4066, 2.409501, 2.397351, 2.370402, 2.333402, 2.295252, 
    2.260251, 2.226601, 1.858101, 0.5371681, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.557665, 1.90365, 2.249951, 
    2.266952, 2.291252, 2.322902, 2.352202, 2.369402, 2.378252, 2.386402, 
    2.397152, 2.403452, 2.402001, 2.390401, 2.371651, 2.355601, 2.348252, 
    2.344752, 2.341953, 2.338752, 2.335752, 2.333453, 2.332052, 2.331353, 
    2.331253, 2.331503, 2.331502, 2.331653, 2.332003, 2.332003, 2.332003, 
    2.332003, 2.332003, 2.332003, 2.331553, 2.331053, 2.328753, 2.324353, 
    2.316353, 2.305353, 2.292503, 2.277553, 2.258653, 2.234703, 2.207503, 
    2.176804, 2.142104, 2.105705, 1.554425, 0.3053535, 0, 0, 0, 0.7323115, 
    1.155245, 2.083105, 1.044002, 0, 0, 0, 0, 0, 1.901854, 1.491353, 0, 0, 
    1.097667, 2.221302, 2.232502, 2.242301, 2.251701, 2.2572, 2.26175, 
    1.471679, 0.1132327, 0.3407019, 1.703837, 1.476921, 1.136173, 1.136173, 
    1.704087, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.27175, 2.2708, 
    2.2689, 2.2656,
  2.265, 2.26325, 2.259, 2.2543, 2.249251, 2.244201, 2.239001, 2.234101, 
    2.231001, 2.229301, 2.238851, 2.287552, 2.357002, 2.441152, 2.542952, 
    2.650902, 2.749002, 2.844301, 2.942001, 3.013451, 3.042751, 3.053151, 
    3.048601, 3.027701, 2.991001, 2.945551, 2.896001, 2.854202, 2.824501, 
    2.796551, 2.758651, 2.722851, 2.708752, 2.735952, 2.808703, 2.907202, 
    2.999752, 3.085302, 3.155052, 3.183302, 3.170502, 3.135302, 3.060951, 
    2.966351, 2.883252, 2.822902, 2.780203, 2.768053, 2.801253, 2.870503, 
    2.984903, 3.138455, 3.293756, 3.424557, 3.518208, 3.566959, 3.584759, 
    3.579459, 3.549358, 3.487356, 3.419255, 3.380903, 3.414802, 3.495751, 
    3.586751, 3.659901, 3.710302, 3.740902, 3.757752, 3.750102, 3.694901, 
    3.593801, 3.511249, 3.464048, 3.485247, 3.552197, 3.590746, 3.638745, 
    3.695144, 2.620796, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.1079582, 1.078682, 1.611791, 2.13825, 2.11865, 
    2.094, 2.06675, 2.03495, 2.002501, 1.971401, 1.948001, 1.93825, 1.9526, 
    2.028, 2.248749, 2.564699, 2.937697, 3.297095, 3.583994, 3.811394, 
    3.976595, 4.054195, 4.022245, 3.832446, 3.530097, 3.208848, 2.9335, 
    2.707851, 2.528701, 2.4187, 2.36825, 2.34125, 2.33525, 2.3438, 2.3585, 
    2.37495, 2.3934, 2.4103, 2.419, 2.414751, 2.395551, 2.361701, 2.323751, 
    2.286151, 2.249651, 1.550851, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7863901, 2.151042, 2.289601, 2.319001, 
    2.352951, 2.381101, 2.394701, 2.399001, 2.403301, 2.41175, 2.4164, 
    2.41125, 2.397, 2.37735, 2.3635, 2.3605, 2.36205, 2.364301, 2.364051, 
    2.362501, 2.361301, 2.360551, 2.360501, 2.360751, 2.361001, 2.361051, 
    2.361651, 2.362001, 2.362001, 2.362451, 2.362351, 2.362001, 2.362001, 
    2.361501, 2.360701, 2.358501, 2.354201, 2.345901, 2.335001, 2.322751, 
    2.308751, 2.291251, 2.269801, 2.245251, 2.218951, 2.190752, 2.162802, 
    1.076501, 0, 0, 0, 0.5372909, 1.808126, 2.132802, 1.813927, 0.5294597, 0, 
    0, 0, 0, 0, 1.946901, 1.855876, 1.109835, 1.116235, 1.233977, 2.243601, 
    2.24975, 2.255201, 1.354731, 2.26375, 2.2665, 1.474811, 1.135536, 
    1.47636, 2.27175, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.27165, 2.27045, 2.26855,
  2.2685, 2.26815, 2.26605, 2.2639, 2.2615, 2.25945, 2.25745, 2.25505, 
    2.2535, 2.2537, 2.26895, 2.3252, 2.4, 2.48495, 2.58415, 2.6853, 2.77425, 
    2.86005, 2.95055, 3.0161, 3.041, 3.0512, 3.0512, 3.03685, 3.00625, 
    2.96655, 2.92265, 2.88175, 2.849, 2.8152, 2.7734, 2.7375, 2.72575, 
    2.7602, 2.8383, 2.9306, 3.01425, 3.08985, 3.15775, 3.1892, 3.1795, 
    3.14495, 3.06925, 2.97915, 2.90975, 2.86415, 2.8367, 2.827, 2.8555, 
    2.9246, 3.0623, 3.25505, 3.4475, 3.61055, 3.7285, 3.78875, 3.80625, 
    3.7961, 3.74805, 3.6435, 3.52875, 3.44655, 3.44375, 3.5034, 3.5865, 
    3.6612, 3.7174, 3.75445, 3.77325, 3.7616, 3.6964, 3.5777, 3.4745, 
    3.40665, 3.40335, 3.44855, 3.47375, 3.50665, 3.54555, 3.03905, 0.88375, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.54125, 1.08075, 1.18545, 2.1527, 2.1445, 2.1321, 2.11375, 2.0916, 
    2.06875, 2.04345, 2.01695, 1.99095, 1.96925, 1.9535, 1.9574, 2.01985, 
    2.226, 2.51475, 2.84095, 3.14885, 3.40075, 3.6145, 3.7826, 3.87235, 
    3.85275, 3.67845, 3.40755, 3.13225, 2.90225, 2.70585, 2.5375, 2.4267, 
    2.37025, 2.33865, 2.3323, 2.34225, 2.3585, 2.37685, 2.3975, 2.41785, 
    2.432, 2.436, 2.42585, 2.3984, 2.36475, 2.33075, 2.2971, 1.58515, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.13765, 2.31305, 2.348, 2.3826, 2.40695, 2.41405, 2.41225, 2.41115, 
    2.41555, 2.41855, 2.4085, 2.39145, 2.3711, 2.3602, 2.36175, 2.3682, 
    2.3757, 2.37885, 2.3785, 2.3778, 2.37795, 2.378, 2.3785, 2.379, 2.3795, 
    2.38015, 2.3805, 2.3805, 2.3814, 2.3812, 2.3805, 2.3805, 2.38, 2.3792, 
    2.377, 2.37235, 2.3639, 2.35315, 2.34175, 2.3286, 2.31275, 2.2934, 2.272, 
    2.2506, 2.2309, 1.8783, 0.54575, 0, 0, 0.33045, 1.63925, 2.17945, 2.1863, 
    1.53055, 0, 0, 0, 0, 0, 0, 1.98645, 2.21995, 2.233, 1.45365, 2.13955, 
    2.25905, 2.26175, 2.26445, 1.36135, 2.26845, 2.26975, 2.27035, 2.2714, 
    2.27165, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.27145, 2.27035,
  2.2695, 2.26915, 2.2685, 2.26785, 2.26725, 2.26665, 2.26645, 2.26585, 
    2.26525, 2.26675, 2.28795, 2.350449, 2.426999, 2.510199, 2.60485, 
    2.69725, 2.77575, 2.850751, 2.930551, 2.986152, 3.006002, 3.018502, 
    3.025751, 3.019801, 2.996001, 2.962051, 2.92405, 2.8866, 2.85175, 
    2.813051, 2.763851, 2.719851, 2.703251, 2.735651, 2.810152, 2.896452, 
    2.973502, 3.041802, 3.101452, 3.133852, 3.131003, 3.103302, 3.037402, 
    2.959501, 2.902001, 2.86865, 2.85425, 2.8559, 2.884999, 2.95365, 
    3.117848, 3.350947, 3.580745, 3.774144, 3.912344, 3.980594, 3.995994, 
    3.980244, 3.916544, 3.765546, 3.601498, 3.47385, 3.431701, 3.466502, 
    3.537752, 3.610753, 3.669953, 3.710552, 3.730503, 3.716153, 3.642753, 
    3.512553, 3.396504, 3.314754, 3.292905, 3.321605, 3.338255, 3.361556, 
    3.390206, 3.431456, 2.575438, 0.5092112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.07875, 2.154701, 2.149001, 2.14285, 
    2.1355, 2.1243, 2.1079, 2.08935, 2.0705, 2.0506, 2.029, 2.007849, 
    1.989749, 1.973399, 1.96775, 2.01675, 2.199501, 2.443853, 2.715455, 
    2.969357, 3.176259, 3.35656, 3.511911, 3.609061, 3.60076, 3.45071, 
    3.226557, 3.001906, 2.820004, 2.665752, 2.525751, 2.4234, 2.365, 2.33215, 
    2.32645, 2.33915, 2.35875, 2.37975, 2.40395, 2.4279, 2.447249, 2.459249, 
    2.458299, 2.439498, 2.414998, 2.392597, 2.367597, 1.990971, 0.5877053, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1158088, 1.518211, 2.374499, 2.407999, 2.426349, 2.4259, 2.41775, 
    2.41065, 2.41165, 2.412801, 2.399501, 2.379901, 2.3602, 2.3521, 2.35725, 
    2.36765, 2.37945, 2.384, 2.384, 2.38365, 2.38395, 2.38415, 2.38475, 
    2.38535, 2.3864, 2.3868, 2.38775, 2.388, 2.38845, 2.38835, 2.388, 
    2.38765, 2.3866, 2.3862, 2.384, 2.379, 2.37085, 2.3603, 2.3495, 2.33695, 
    2.3227, 2.30515, 2.28725, 2.2711, 2.145058, 0.7833596, 0, 0, 0, 
    0.6661496, 2.221499, 2.224249, 2.228099, 1.559599, 0, 0, 0, 0, 0, 0, 
    1.116218, 2.250849, 2.255749, 1.470289, 2.151641, 2.26795, 2.26925, 
    2.2702, 2.27095, 2.27115, 2.2715, 2.2715, 2.2719, 2.2715, 2.2715, 2.2715, 
    2.2715, 2.2715, 2.2715, 2.2715, 2.27195, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.27175, 2.2715, 2.2715, 
    2.27135, 2.271, 2.271, 2.2705, 2.27,
  2.265501, 2.265151, 2.26455, 2.263601, 2.260001, 2.256402, 2.252502, 
    2.249353, 2.249253, 2.251603, 2.278852, 2.346902, 2.425752, 2.510901, 
    2.604101, 2.691101, 2.761252, 2.825103, 2.892853, 2.935704, 2.950755, 
    2.965105, 2.978404, 2.980304, 2.962253, 2.934053, 2.902952, 2.870252, 
    2.835002, 2.792752, 2.737252, 2.685853, 2.664753, 2.693004, 2.761154, 
    2.841255, 2.913255, 2.975806, 3.027256, 3.056406, 3.058256, 3.037356, 
    2.984355, 2.919704, 2.872003, 2.846003, 2.836953, 2.844803, 2.874503, 
    2.939553, 3.125852, 3.394949, 3.658497, 3.877595, 4.034294, 4.111993, 
    4.128992, 4.110642, 4.036943, 3.844346, 3.632749, 3.462802, 3.382855, 
    3.390008, 3.447509, 3.515509, 3.574509, 3.616359, 3.637259, 3.622459, 
    3.54216, 3.40736, 3.286259, 3.19701, 3.16286, 3.180811, 3.195011, 
    3.212711, 3.238061, 3.276461, 3.311011, 0.9970533, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3200512, 1.604419, 2.140251, 
    2.136001, 2.131151, 2.124751, 2.115201, 2.101501, 2.08675, 2.07175, 
    2.05605, 2.038949, 2.021599, 2.006499, 1.993149, 1.983599, 2.01495, 
    2.159754, 2.355307, 2.573462, 2.774815, 2.937768, 3.082871, 3.216173, 
    3.311474, 3.320772, 3.208268, 3.032815, 2.859911, 2.724007, 2.609454, 
    2.500152, 2.411601, 2.356, 2.323151, 2.319051, 2.3352, 2.35875, 2.3823, 
    2.40945, 2.436649, 2.460249, 2.479649, 2.489098, 2.479697, 2.468246, 
    2.459595, 2.444844, 2.419193, 1.200496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3554041, 1.800589, 
    2.430498, 2.441349, 2.433249, 2.41875, 2.4067, 2.404701, 2.403851, 
    2.388751, 2.368401, 2.35025, 2.3447, 2.3525, 2.36555, 2.37975, 2.3845, 
    2.38425, 2.384, 2.38405, 2.38465, 2.38525, 2.3862, 2.38745, 2.3883, 
    2.38925, 2.38985, 2.39, 2.39, 2.38975, 2.38915, 2.38805, 2.3872, 2.385, 
    2.38, 2.37185, 2.3613, 2.3505, 2.3383, 2.3247, 2.3084, 2.2935, 2.28035, 
    1.134688, 0, 0.5636641, 0.3381985, 0, 0.6739496, 2.247998, 2.251249, 
    2.252999, 1.917197, 1.131578, 0.3395483, 0, 0, 0, 0, 0.2268499, 2.268649, 
    2.269, 2.26935, 2.2714, 2.27265, 2.273, 2.273, 2.273, 2.27285, 2.2725, 
    2.27215, 2.27145, 2.2705, 2.27025, 2.27, 2.27, 2.27, 2.27025, 2.2705, 
    2.2714, 2.2715, 2.27175, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 2.272, 
    2.27155, 2.2715, 2.271, 2.27015, 2.26995, 2.2692, 2.26825, 2.26765, 
    2.26655, 2.266001,
  2.257001, 2.256301, 2.254802, 2.249302, 2.238503, 2.228054, 2.216555, 
    2.206955, 2.203506, 2.204956, 2.239006, 2.312105, 2.396504, 2.487204, 
    2.582803, 2.667704, 2.732504, 2.787505, 2.843006, 2.871258, 2.880509, 
    2.894659, 2.911009, 2.917509, 2.905008, 2.883407, 2.860356, 2.834155, 
    2.801255, 2.757855, 2.698255, 2.642755, 2.619755, 2.644706, 2.705157, 
    2.777108, 2.842009, 2.89711, 2.940061, 2.965211, 2.969261, 2.953361, 
    2.91091, 2.858558, 2.820007, 2.797907, 2.790006, 2.798357, 2.824257, 
    2.883058, 3.076608, 3.371356, 3.660754, 3.899752, 4.07195, 4.1595, 
    4.180999, 4.162949, 4.0841, 3.866701, 3.616505, 3.410408, 3.294312, 
    3.271765, 3.312267, 3.372718, 3.432018, 3.475818, 3.498768, 3.486017, 
    3.403967, 3.274416, 3.157516, 3.070714, 3.032015, 3.043215, 3.059015, 
    3.075164, 3.103714, 3.144313, 3.185762, 2.076498, 1.435122, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6376506, 2.125752, 
    2.124952, 2.121952, 2.117952, 2.112751, 2.104401, 2.092951, 2.080501, 
    2.068501, 2.0558, 2.04225, 2.02655, 2.01375, 2.00375, 1.996349, 2.0114, 
    2.109756, 2.257811, 2.424167, 2.577422, 2.703026, 2.817779, 2.927432, 
    3.012583, 3.041281, 2.973376, 2.84747, 2.724715, 2.630011, 2.550007, 
    2.468854, 2.396202, 2.346001, 2.313651, 2.310351, 2.33105, 2.35925, 
    2.38605, 2.414949, 2.443599, 2.469749, 2.494848, 2.514597, 2.516996, 
    2.517745, 2.516744, 2.510193, 2.498692, 1.245495, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.607889, 
    1.221729, 2.336526, 2.443898, 2.424999, 2.410299, 2.405249, 2.4016, 
    2.384, 2.3643, 2.3483, 2.34515, 2.354249, 2.3672, 2.3808, 2.38535, 
    2.38475, 2.3845, 2.38455, 2.38515, 2.386, 2.3872, 2.38855, 2.3903, 2.391, 
    2.3917, 2.39205, 2.39235, 2.39175, 2.39115, 2.39, 2.38855, 2.386, 
    2.38065, 2.3719, 2.36115, 2.35, 2.3378, 2.3238, 2.3082, 2.2945, 2.2815, 
    0.22785, 0, 0.563879, 0.3383274, 0, 0.6773998, 2.259749, 2.263599, 
    2.264599, 2.265499, 2.265999, 1.473918, 1.021216, 0, 0, 0, 1.136742, 
    2.27365, 2.274, 2.27435, 2.275399, 2.27565, 2.276, 2.276, 2.2755, 2.2747, 
    2.2735, 2.2723, 2.2705, 2.26885, 2.268, 2.26715, 2.266951, 2.2665, 
    2.267001, 2.267501, 2.26845, 2.269, 2.2695, 2.27, 2.27, 2.27, 2.27, 2.27, 
    2.27, 2.27, 2.27, 2.27, 2.27, 2.27, 2.27, 2.27, 2.27, 2.27, 2.27, 2.27, 
    2.2691, 2.26885, 2.268001, 2.266801, 2.265901, 2.264201, 2.262751, 
    2.260951, 2.259501, 2.258351,
  2.244502, 2.243102, 2.238003, 2.225004, 2.207255, 2.190207, 2.171608, 
    2.155308, 2.145509, 2.14446, 2.184459, 2.265058, 2.357006, 2.453506, 
    2.551505, 2.633856, 2.693256, 2.742157, 2.785209, 2.797562, 2.798263, 
    2.808764, 2.824165, 2.832415, 2.825014, 2.811662, 2.797811, 2.77966, 
    2.752009, 2.711058, 2.651307, 2.596057, 2.573757, 2.595907, 2.649059, 
    2.71186, 2.767761, 2.813862, 2.849763, 2.871864, 2.876764, 2.863463, 
    2.828413, 2.784662, 2.752761, 2.733111, 2.725811, 2.731812, 2.752012, 
    2.803364, 2.991065, 3.297414, 3.601513, 3.853462, 4.03701, 4.12991, 
    4.154009, 4.136109, 4.054859, 3.827811, 3.553013, 3.319516, 3.17377, 
    3.127124, 3.151276, 3.203077, 3.261728, 3.308727, 3.335276, 3.326126, 
    3.249874, 3.130373, 3.022271, 2.944619, 2.908368, 2.915169, 2.933519, 
    2.949069, 2.972322, 3.005625, 3.050025, 3.089177, 2.783827, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.104868, 1.366777, 
    2.109253, 2.108803, 2.106453, 2.103102, 2.098502, 2.090752, 2.080952, 
    2.070452, 2.060252, 2.050051, 2.036701, 2.019902, 2.007502, 1.999652, 
    1.995252, 2.000803, 2.054759, 2.157716, 2.276173, 2.389128, 2.485532, 
    2.576685, 2.666437, 2.739289, 2.781038, 2.756281, 2.679074, 2.600318, 
    2.541763, 2.491609, 2.434805, 2.377303, 2.333502, 2.302652, 2.301101, 
    2.32705, 2.3605, 2.390099, 2.420399, 2.449749, 2.476749, 2.504799, 
    2.531298, 2.542798, 2.548248, 1.654471, 1.397598, 2.161963, 0.632943, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.236001, 2.463146, 2.443246, 2.429645, 2.423545, 2.416196, 
    2.395746, 2.375297, 2.360747, 2.358497, 2.366247, 2.375398, 2.383999, 
    2.3862, 2.3855, 2.38515, 2.38545, 2.3858, 2.387, 2.3882, 2.39, 2.3918, 
    2.39275, 2.3937, 2.394499, 2.39485, 2.394249, 2.3933, 2.392, 2.3904, 
    2.38725, 2.38165, 2.3724, 2.361, 2.3495, 2.3373, 2.3229, 2.3077, 
    1.722175, 1.140848, 0.2270003, 1.129905, 0.5640779, 0, 0, 0.6784499, 
    2.263, 2.2666, 2.268, 2.26865, 2.2695, 2.27, 2.156965, 0.7949574, 0, 0, 
    1.137327, 2.27495, 2.27625, 2.27755, 2.278949, 2.279799, 2.280499, 
    2.280499, 2.279449, 2.27755, 2.27525, 2.2726, 2.269, 2.265551, 2.263501, 
    2.261801, 2.260951, 2.260001, 2.260251, 2.260851, 2.261551, 2.262651, 
    2.263501, 2.264001, 2.264451, 2.264501, 2.264501, 2.264501, 2.264501, 
    2.264501, 2.264501, 2.264501, 2.264501, 2.264501, 2.264501, 2.264501, 
    2.264501, 2.264501, 2.264251, 2.264001, 2.263051, 2.262201, 2.261001, 
    2.259451, 2.257902, 2.255552, 2.253252, 2.250602, 2.248502, 2.246702,
  2.228004, 2.224504, 2.212905, 2.191857, 2.167509, 2.14386, 2.118561, 
    2.095312, 2.079763, 2.075764, 2.121662, 2.212161, 2.311759, 2.413458, 
    2.514158, 2.594158, 2.648009, 2.69031, 2.721463, 2.717966, 2.706518, 
    2.70977, 2.721371, 2.729671, 2.72702, 2.722269, 2.718266, 2.709265, 
    2.689763, 2.655211, 2.59936, 2.547509, 2.526259, 2.54596, 2.592461, 
    2.646763, 2.694764, 2.733665, 2.763916, 2.783067, 2.787017, 2.774867, 
    2.744966, 2.707215, 2.678265, 2.658765, 2.649615, 2.650966, 2.665267, 
    2.709319, 2.88952, 3.195271, 3.505021, 3.76402, 3.954719, 4.050719, 
    4.075269, 4.056769, 3.974269, 3.743219, 3.45652, 3.204823, 3.036077, 
    2.969731, 2.979783, 3.023434, 3.080635, 3.131634, 3.162033, 3.158132, 
    3.09153, 2.984977, 2.891274, 2.825572, 2.790772, 2.791223, 2.808774, 
    2.818276, 2.826128, 2.836634, 2.865539, 2.887093, 2.584693, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.038134, 2.089404, 
    2.091504, 2.090804, 2.088504, 2.085753, 2.081753, 2.074603, 2.065503, 
    2.056553, 2.048502, 2.038703, 2.022254, 2.002305, 1.988005, 1.980355, 
    1.977905, 1.981354, 2.007257, 2.069914, 2.14962, 2.231775, 2.306278, 
    2.380431, 2.456733, 2.520484, 2.565535, 2.571032, 2.535774, 2.495068, 
    2.467512, 2.443458, 2.406854, 2.361152, 1.746472, 1.148588, 1.148738, 
    1.163094, 1.775974, 1.55337, 1.211912, 1.597726, 2.482499, 2.511499, 
    2.539849, 2.552849, 2.5565, 0.7671, 0.1278988, 0.8952916, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.2490497, 2.485396, 2.472744, 2.468491, 2.46499, 2.452991, 2.428742, 
    2.406592, 2.392142, 2.388592, 2.391744, 2.392796, 2.391248, 2.38755, 
    2.3865, 2.3858, 2.386, 2.3868, 2.38825, 2.3897, 2.39145, 2.39295, 2.3945, 
    2.396049, 2.397399, 2.397499, 2.396999, 2.395799, 2.39405, 2.39255, 
    2.389499, 2.3833, 2.3734, 2.3615, 2.34975, 2.3373, 2.32295, 2.3082, 
    1.15025, 0.7962959, 1.24681, 2.2605, 1.1285, 0, 0.1128569, 1.468598, 
    2.2635, 2.2671, 2.26895, 2.2698, 2.27075, 2.27135, 2.27155, 1.93107, 
    0.5677832, 0, 0.1137934, 1.480104, 2.279499, 2.282249, 2.283999, 
    2.285449, 2.286499, 2.286149, 2.284399, 2.281249, 2.27725, 2.2722, 
    2.266051, 2.260451, 2.256252, 2.253102, 2.251052, 2.249852, 2.249502, 
    2.250202, 2.251052, 2.252452, 2.253752, 2.254352, 2.254952, 2.255002, 
    2.255002, 2.255002, 2.255002, 2.255002, 2.255002, 2.255002, 2.255002, 
    2.255002, 2.255002, 2.255002, 2.255002, 2.255002, 2.254752, 2.254152, 
    2.253402, 2.251702, 2.250252, 2.248102, 2.245953, 2.243253, 2.240003, 
    2.236753, 2.233553, 2.231053,
  2.208005, 2.200656, 2.181458, 2.153209, 2.122011, 2.091862, 2.060014, 
    2.029965, 2.009017, 2.001717, 2.052816, 2.152115, 2.258763, 2.365062, 
    2.467412, 2.545113, 2.593764, 2.629115, 2.650117, 2.632021, 2.607024, 
    2.600226, 2.606228, 2.614428, 2.616277, 2.619175, 2.624773, 2.625821, 
    2.616018, 2.590116, 2.541664, 2.494263, 2.474512, 2.491513, 2.532314, 
    2.578816, 2.619767, 2.653019, 2.67847, 2.693971, 2.696771, 2.68557, 
    2.660019, 2.627468, 2.600768, 2.580718, 2.568519, 2.56512, 2.573771, 
    2.611472, 2.783424, 3.080277, 3.38628, 3.64643, 3.83913, 3.935431, 
    3.958531, 3.938581, 3.854882, 3.623732, 3.335031, 3.074332, 2.889585, 
    2.807088, 2.80579, 2.842991, 2.899941, 2.95504, 2.989539, 2.991838, 
    2.936085, 2.84733, 2.770277, 2.715275, 2.678425, 2.669977, 2.68003, 
    2.681682, 2.675884, 2.66104, 2.658049, 2.645959, 2.351306, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09980421, 1.000291, 1.009787, 1.018583, 
    1.958808, 2.068255, 2.070006, 2.069305, 2.067455, 2.064905, 2.061505, 
    2.054955, 2.047004, 2.039654, 2.034004, 2.022404, 2.001255, 1.977056, 
    1.960507, 1.953056, 1.953056, 1.961054, 1.977756, 2.008811, 2.060417, 
    2.121071, 2.180523, 2.243825, 2.312777, 2.370178, 2.40853, 2.427628, 
    2.425721, 2.417964, 2.416509, 2.414004, 2.393201, 2.004411, 0.5832674, 0, 
    0, 0, 0.5952729, 0.3571637, 0, 0.3712702, 1.24332, 1.257827, 2.419307, 
    2.555949, 1.918043, 0.3837259, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1250073, 
    1.623999, 2.506242, 2.520887, 2.523985, 2.505786, 2.476738, 2.452588, 
    2.437538, 2.431389, 2.427741, 2.417444, 2.401947, 2.3889, 2.38725, 
    2.38665, 2.38705, 2.388299, 2.38975, 2.3912, 2.39255, 2.394599, 2.396749, 
    2.39855, 2.399949, 2.400499, 1.800025, 1.1992, 2.277054, 2.39505, 
    2.391999, 2.385449, 2.374949, 2.362999, 2.351, 2.3383, 2.324049, 
    2.310199, 1.723237, 1.937092, 2.269199, 1.922805, 0.5645087, 0, 1.127336, 
    2.25885, 2.2635, 2.2671, 2.2694, 2.2703, 2.27125, 2.27185, 2.272, 
    2.27215, 1.704489, 0.3409435, 0.1139477, 1.482084, 2.283249, 2.287449, 
    2.289999, 1.947706, 1.145525, 1.948057, 2.289399, 2.284649, 2.27825, 
    2.270451, 2.261101, 2.252702, 2.246253, 2.241203, 2.237603, 2.235704, 
    2.235004, 2.235704, 2.237054, 2.238954, 2.240253, 2.241204, 2.241503, 
    2.241503, 2.241503, 2.241503, 2.241503, 2.241503, 2.241503, 2.241503, 
    2.241503, 2.241503, 2.241503, 2.241503, 2.241503, 2.241503, 2.241503, 
    2.240803, 2.239903, 2.238053, 2.236004, 2.233254, 2.230454, 2.226954, 
    2.222754, 2.218904, 2.215055, 2.211905,
  2.182508, 2.171659, 2.14551, 2.110562, 2.073014, 2.036515, 1.998067, 
    1.961969, 1.93577, 1.92602, 1.97952, 2.084619, 2.197018, 2.307317, 
    2.409767, 2.484418, 2.527769, 2.556071, 2.567873, 2.537677, 2.500779, 
    2.482083, 2.481135, 2.489035, 2.494784, 2.504382, 2.51888, 2.530077, 
    2.529525, 2.513572, 2.475319, 2.433817, 2.416267, 2.430568, 2.465769, 
    2.505671, 2.540522, 2.569423, 2.590574, 2.603025, 2.605025, 2.595474, 
    2.574173, 2.547371, 2.523271, 2.503021, 2.488471, 2.481572, 2.485523, 
    2.517124, 2.679178, 2.962032, 3.254036, 3.50509, 3.691844, 3.784395, 
    3.803797, 3.782247, 3.698546, 3.469646, 3.185544, 2.927341, 2.736491, 
    2.644693, 2.634795, 2.667246, 2.724146, 2.782595, 2.821794, 2.829843, 
    2.788088, 2.720033, 2.659279, 2.614975, 2.576975, 2.557928, 2.554032, 
    2.546286, 2.528439, 2.132486, 1.860371, 2.40646, 1.229336, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9813809, 1.990806, 2.010255, 2.026906, 
    2.038656, 2.044606, 2.046006, 2.045306, 2.043906, 2.041406, 2.037757, 
    2.032007, 2.026106, 2.021455, 2.016006, 2.000757, 1.973859, 1.94531, 
    1.92676, 1.91976, 1.923209, 1.937208, 1.955006, 1.975954, 2.013605, 
    2.062957, 2.115508, 2.174708, 2.241857, 2.293359, 2.32476, 2.345312, 
    2.360161, 2.376356, 2.395251, 2.408548, 2.27881, 0.8271429, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.148465, 1.279185, 0.6395925, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.3764015, 1.90708, 2.575236, 2.586834, 2.561935, 2.527987, 
    2.501737, 2.485887, 2.476538, 2.46524, 2.442744, 2.412598, 2.3894, 
    2.38775, 2.38785, 2.388999, 2.3903, 2.3915, 2.392699, 2.394099, 2.39645, 
    2.39875, 2.401049, 2.402899, 2.403649, 1.201999, 0, 2.160299, 2.398399, 
    2.394999, 2.388449, 2.377499, 2.365499, 2.353749, 2.341299, 2.327499, 
    2.313849, 2.298999, 2.283799, 2.272649, 1.586199, 0.5641975, 1.127696, 
    2.14239, 2.258, 2.263, 2.26695, 2.26985, 2.27065, 2.2715, 2.272, 2.272, 
    2.2723, 2.27375, 1.478873, 1.2534, 2.281899, 2.286499, 2.292149, 
    2.296398, 1.608949, 0, 1.608599, 2.294249, 2.28655, 2.278, 2.267351, 
    2.254102, 2.242103, 2.233254, 2.226154, 2.220655, 2.217705, 2.217005, 
    2.217705, 2.219105, 2.221455, 2.223005, 2.224205, 2.224505, 2.224505, 
    2.224505, 2.224505, 2.224505, 2.224505, 2.224505, 2.224505, 2.224505, 
    2.224505, 2.224505, 2.224505, 2.224505, 2.224505, 2.224505, 2.223805, 
    2.222455, 2.220405, 2.218005, 2.214905, 2.211006, 2.206806, 2.201756, 
    2.197056, 2.192956, 2.188757,
  2.152509, 2.13886, 2.106962, 2.065564, 2.022265, 1.980017, 1.935569, 
    1.89377, 1.863022, 1.851173, 1.905073, 2.011573, 2.126273, 2.238873, 
    2.340623, 2.411724, 2.450026, 2.471878, 2.47438, 2.434283, 2.388036, 
    2.359288, 2.35094, 2.356991, 2.36604, 2.381388, 2.403936, 2.424184, 
    2.432781, 2.427377, 2.400124, 2.366371, 2.351271, 2.363471, 2.393673, 
    2.427325, 2.457276, 2.482327, 2.499678, 2.509579, 2.51053, 2.502729, 
    2.486327, 2.465925, 2.445274, 2.426723, 2.411473, 2.403123, 2.404274, 
    2.430275, 2.580279, 2.844286, 3.114044, 3.344952, 3.517657, 3.60126, 
    3.615812, 3.593262, 3.511861, 3.290058, 3.016804, 2.770849, 2.583796, 
    2.489846, 2.474047, 2.501649, 2.5569, 2.61735, 2.661048, 2.676395, 
    2.650341, 2.602085, 2.55703, 2.525976, 2.487876, 2.45673, 2.435785, 
    1.595643, 1.228903, 0.8461185, 1.121279, 1.470206, 0.1139198, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4699616, 0.9507666, 1.849198, 1.969457, 
    1.988507, 2.003358, 2.014158, 2.019608, 2.021008, 2.020308, 2.018508, 
    2.016258, 2.012508, 2.008057, 2.004157, 2.001756, 1.994757, 1.973759, 
    1.940011, 1.906712, 1.886263, 1.879463, 1.886462, 1.90736, 1.932008, 
    1.961904, 2.005349, 2.056696, 2.113243, 2.17749, 2.250487, 2.298637, 
    2.325488, 2.342189, 2.358189, 2.384139, 2.415236, 2.436535, 1.207389, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.300494, 2.624086, 2.637837, 2.606889, 2.56974, 2.54239, 2.526639, 
    2.51404, 2.495742, 2.462745, 2.420148, 2.392049, 2.391498, 2.393047, 
    2.394497, 2.395498, 2.395248, 2.394999, 2.396049, 2.39795, 2.4005, 
    2.403749, 1.44374, 2.407149, 1.203749, 0.8422832, 2.283825, 2.402399, 
    2.398999, 2.392099, 2.380999, 2.369149, 2.357999, 2.346148, 2.332499, 
    2.318998, 2.304998, 2.290298, 2.164968, 0.7942867, 1.130249, 2.258749, 
    2.256199, 2.25765, 2.263, 2.26695, 2.2699, 2.271, 2.2715, 2.272, 2.27205, 
    2.2728, 2.2745, 2.2769, 2.28045, 2.284199, 2.290498, 2.298198, 2.188368, 
    1.152781, 0.5776455, 1.612799, 2.298649, 2.287949, 2.276501, 2.261902, 
    2.244603, 2.228705, 2.216506, 2.207107, 2.200157, 2.196057, 2.195008, 
    2.195707, 2.197557, 2.200107, 2.202007, 2.203207, 2.203507, 2.203507, 
    2.203507, 2.203507, 2.203507, 2.203507, 2.203507, 2.203507, 2.203507, 
    2.203507, 2.203507, 2.203507, 2.203507, 2.203507, 2.203507, 2.202807, 
    2.201407, 2.198757, 2.195758, 2.192408, 2.187558, 2.182808, 2.177258, 
    2.171708, 2.166559, 2.161959,
  2.119512, 2.104113, 2.067964, 2.021865, 1.973516, 1.925868, 1.87607, 
    1.829221, 1.794523, 1.780473, 1.833824, 1.937475, 2.050277, 2.161678, 
    2.261029, 2.328031, 2.361782, 2.378733, 2.372886, 2.324139, 2.271291, 
    2.236292, 2.221644, 2.224495, 2.235045, 2.253995, 2.282043, 2.309791, 
    2.327538, 2.331985, 2.315531, 2.290878, 2.280026, 2.291226, 2.317477, 
    2.345279, 2.37103, 2.391882, 2.405683, 2.412634, 2.412535, 2.406834, 
    2.395432, 2.38143, 2.366028, 2.350626, 2.336525, 2.329125, 2.329525, 
    2.351276, 2.486632, 2.724942, 2.964803, 3.167914, 3.318224, 3.388479, 
    3.398081, 3.375131, 3.298579, 3.091872, 2.839062, 2.613904, 2.440347, 
    2.351044, 2.332545, 2.356045, 2.408097, 2.468297, 2.515296, 2.537795, 
    2.524641, 2.493336, 2.463031, 2.444277, 2.402929, 2.357585, 1.758428, 
    0.3554455, 0.1042779, 1.032586, 1.042022, 0.980118, 0.9031254, 0.6026332, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2729612, 1.389939, 1.891708, 1.924107, 
    1.948657, 1.966008, 1.979508, 1.989658, 1.994458, 1.995259, 1.993959, 
    1.992009, 1.989609, 1.986259, 1.983259, 1.981508, 1.980208, 1.971508, 
    1.943911, 1.903113, 1.864315, 1.841017, 1.833467, 1.843616, 1.870664, 
    1.902512, 1.944508, 2.004652, 2.070795, 2.141988, 2.220182, 2.306876, 
    2.356325, 2.381975, 2.397825, 2.413374, 2.441823, 2.477722, 1.610888, 
    0.1232851, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.655953, 2.265014, 2.67294, 2.638091, 2.599991, 2.572391, 
    2.55784, 2.543141, 2.520741, 2.481543, 2.432194, 2.403994, 2.404993, 
    2.407393, 2.408893, 2.408544, 2.405495, 2.400697, 2.39785, 2.399599, 
    2.402499, 1.563882, 0.2409164, 1.567182, 1.808582, 2.048699, 2.408499, 
    2.406399, 2.402999, 2.396099, 2.385498, 2.374148, 2.363248, 2.352348, 
    2.338598, 2.325498, 2.311998, 2.298147, 2.058297, 0, 1.132749, 2.262699, 
    2.257699, 2.25745, 1.697641, 1.928284, 2.270949, 2.272499, 2.272999, 
    2.273849, 2.274098, 2.275449, 2.277498, 2.279549, 2.283948, 2.289447, 
    2.298246, 2.308096, 2.083046, 0.6956986, 1.740096, 1.967106, 2.304597, 
    2.289899, 2.274001, 2.254603, 2.232205, 2.212156, 2.196257, 2.184208, 
    2.175709, 2.170759, 2.16901, 2.16971, 2.17206, 2.175109, 2.177009, 
    2.178209, 2.178959, 2.179009, 2.179009, 2.179009, 2.179009, 2.179009, 
    2.179009, 2.179009, 2.179009, 2.179009, 2.179009, 2.179009, 2.179009, 
    2.179009, 2.178759, 2.177809, 2.176409, 2.173609, 2.170009, 2.166059, 
    2.16096, 2.15516, 2.14901, 2.142511, 2.136561, 2.131161,
  2.083014, 2.066565, 2.028365, 1.979116, 1.927267, 1.875419, 1.82112, 
    1.770321, 1.732522, 1.717123, 1.769024, 1.867776, 1.975778, 2.08238, 
    2.177032, 2.239484, 2.269785, 2.283286, 2.271338, 2.21609, 2.158791, 
    2.118993, 2.099195, 2.098197, 2.108547, 2.128347, 2.157797, 2.190446, 
    2.215294, 2.228241, 2.222937, 2.208332, 2.20353, 2.21483, 2.237931, 
    2.261732, 2.283034, 2.299785, 2.309687, 2.313039, 2.311539, 2.307939, 
    2.301537, 2.294084, 2.284782, 2.27408, 2.264027, 2.260225, 2.262274, 
    2.280775, 2.396234, 2.5998, 2.803814, 2.973878, 3.095539, 3.149846, 
    3.154098, 3.131048, 3.062844, 2.881532, 2.660568, 2.466553, 2.317092, 
    2.239287, 2.221786, 2.242437, 2.290139, 2.346991, 2.394042, 2.42044, 
    2.414489, 2.395435, 2.37878, 2.369127, 2.320131, 1.933488, 0.5694378, 0, 
    1.00149, 1.983614, 1.411191, 1.522491, 1.724564, 1.370773, 0.3677169, 0, 
    0, 0, 0, 0, 0, 0.2167331, 0.7421786, 0.228574, 0, 0.5436021, 1.830507, 
    1.870708, 1.904007, 1.928208, 1.944008, 1.956309, 1.965659, 1.96966, 
    1.96926, 1.96711, 1.964911, 1.961911, 1.95976, 1.95796, 1.957959, 
    1.958009, 1.947509, 1.913561, 1.866114, 1.820966, 1.793268, 1.784119, 
    1.795819, 1.828117, 1.867514, 1.921259, 1.998953, 2.086394, 2.177985, 
    2.276227, 2.381719, 2.436416, 2.463965, 2.481714, 2.501361, 2.534209, 
    1.912466, 0.3803924, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3233011, 0.5388351, 0, 0, 0, 0, 1.892442, 2.701289, 
    2.66359, 2.62574, 2.599439, 2.587038, 2.571189, 2.546739, 2.506539, 
    2.457538, 2.428788, 2.430488, 2.433238, 2.434238, 2.431289, 2.424491, 
    2.413494, 2.403147, 2.401449, 2.404499, 0.7219496, 0, 0.3623786, 
    1.811713, 2.414798, 2.413398, 2.410898, 2.407498, 2.400948, 2.390997, 
    2.380148, 2.369247, 2.358698, 2.345597, 2.333297, 2.320496, 2.306647, 
    2.065947, 0, 1.135998, 2.267797, 2.147435, 1.129418, 0.5659351, 
    0.7951112, 1.250786, 2.277148, 2.277997, 2.279197, 2.280497, 2.282097, 
    2.284247, 2.285697, 2.291946, 2.300045, 2.311494, 2.323643, 2.098643, 
    0.7007977, 2.334243, 2.327594, 2.314346, 2.292898, 2.271251, 2.246453, 
    2.218205, 2.192758, 2.173259, 2.157961, 2.147311, 2.141612, 2.139512, 
    2.140212, 2.142612, 2.146112, 2.148262, 2.149712, 2.150512, 2.151011, 
    2.151011, 2.151011, 2.151011, 2.151011, 2.151011, 2.151011, 2.151011, 
    2.151011, 2.151011, 2.151011, 2.151011, 2.150862, 2.150262, 2.149312, 
    2.147462, 2.144612, 2.140762, 2.136212, 2.130463, 2.123863, 2.116763, 
    2.109313, 2.102964, 2.096364,
  2.044017, 2.026867, 1.987318, 1.936168, 1.882269, 1.82802, 1.770621, 
    1.716872, 1.677272, 1.660773, 1.709325, 1.801778, 1.90378, 2.004383, 
    2.093136, 2.151387, 2.179788, 2.191738, 2.176438, 2.118788, 2.059539, 
    2.01569, 1.991242, 1.986443, 1.995044, 2.014145, 2.042446, 2.076346, 
    2.105545, 2.125992, 2.131487, 2.128082, 2.131028, 2.143428, 2.16293, 
    2.182532, 2.198784, 2.210836, 2.215689, 2.214141, 2.210043, 2.206993, 
    2.206041, 2.205088, 2.202035, 2.197582, 2.19343, 2.194428, 2.200526, 
    2.216427, 2.305439, 2.467757, 2.632574, 2.767639, 2.86175, 2.901005, 
    2.901106, 2.878106, 2.821651, 2.676084, 2.495066, 2.339948, 2.224032, 
    2.164473, 2.154018, 2.172968, 2.21612, 2.268871, 2.315271, 2.345919, 
    2.341319, 2.320924, 2.302531, 2.28589, 2.118437, 0.7801111, 0, 0.6665342, 
    1.813834, 1.815822, 1.732319, 1.653714, 1.573008, 1.474202, 1.031249, 
    0.6184251, 0.116601, 0.3920172, 0, 0.434681, 0.6480998, 0.9051998, 
    1.478006, 1.007633, 0.8288964, 1.144188, 1.813007, 1.852357, 1.884908, 
    1.907559, 1.922509, 1.933609, 1.94211, 1.94501, 1.94376, 1.940761, 
    1.937511, 1.934711, 1.933761, 1.93351, 1.93451, 1.93566, 1.92401, 
    1.885411, 1.831164, 1.779617, 1.747269, 1.73557, 1.74762, 1.784469, 
    1.830266, 1.895662, 1.992203, 2.102443, 2.216733, 2.338722, 2.467761, 
    2.537901, 2.571447, 2.595543, 2.623839, 2.249887, 0.6535538, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.08867472, 1.23635, 
    1.552098, 1.106311, 1.199482, 1.267824, 1.325125, 2.316699, 2.728439, 
    2.687241, 2.65024, 2.626189, 2.616338, 2.600238, 2.574988, 2.537486, 
    2.492085, 2.462285, 2.463985, 2.466735, 2.466186, 2.460237, 2.448739, 
    2.431642, 2.412596, 2.403299, 1.80451, 0.3615063, 0, 0, 1.210249, 
    2.419798, 2.417948, 2.415398, 2.412248, 2.406298, 2.396947, 2.386447, 
    2.375997, 2.365197, 2.353097, 2.342396, 2.330745, 2.316296, 2.073697, 0, 
    1.139249, 2.273248, 2.037899, 0, 0, 0, 0.1140967, 1.484925, 2.288244, 
    2.289694, 2.291894, 2.293594, 2.295244, 2.295845, 2.303595, 2.315143, 
    2.329491, 2.34489, 1.291343, 1.181694, 1.763492, 2.345991, 2.328093, 
    2.298947, 2.27, 2.238253, 2.202707, 2.17071, 2.147012, 2.128213, 
    2.115364, 2.108615, 2.106515, 2.106865, 2.109565, 2.113115, 2.115515, 
    2.117565, 2.118064, 2.118515, 2.118515, 2.118515, 2.118515, 2.118515, 
    2.118515, 2.118515, 2.118515, 2.118515, 2.118515, 2.118515, 2.118515, 
    2.118365, 2.118014, 2.116965, 2.114515, 2.111615, 2.107515, 2.102365, 
    2.095965, 2.088566, 2.080516, 2.072816, 2.065567, 2.058716,
  2.005018, 1.987518, 1.946868, 1.894868, 1.839769, 1.783969, 1.72457, 
    1.668421, 1.627022, 1.609423, 1.652726, 1.737629, 1.832783, 1.926536, 
    2.008889, 2.06424, 2.09229, 2.104939, 2.089339, 2.035035, 1.977284, 
    1.932134, 1.904235, 1.895687, 1.902287, 1.919738, 1.945889, 1.977841, 
    2.008541, 2.034689, 2.050135, 2.058779, 2.070025, 2.084075, 2.098927, 
    2.11253, 2.122534, 2.127637, 2.125241, 2.117594, 2.110296, 2.106496, 
    2.108346, 2.114393, 2.118539, 2.121285, 2.124781, 2.131628, 2.142026, 
    2.157326, 2.217888, 2.338207, 2.464325, 2.566639, 2.637449, 2.665453, 
    2.663354, 2.640954, 2.594101, 2.489132, 2.353309, 2.238491, 2.157077, 
    2.118268, 2.118013, 2.139111, 2.18206, 2.234808, 2.282757, 2.315658, 
    2.306262, 2.272019, 2.236527, 2.198237, 1.086408, 0, 0, 0.6677187, 
    1.663656, 1.654421, 1.579816, 1.51361, 1.447902, 1.363595, 1.286787, 
    1.209277, 0.6788365, 0.9574896, 0.5867054, 1.048984, 1.2968, 1.376451, 
    1.468002, 1.555353, 1.654604, 1.741107, 1.79476, 1.832661, 1.863461, 
    1.885061, 1.899512, 1.910112, 1.917662, 1.920012, 1.918762, 1.915761, 
    1.912561, 1.910361, 1.91001, 1.91071, 1.91246, 1.91381, 1.90151, 
    1.859112, 1.799114, 1.741417, 1.704269, 1.688821, 1.700322, 1.740021, 
    1.791518, 1.867513, 1.983854, 2.117943, 2.256731, 2.404269, 2.561555, 
    2.658292, 2.701936, 2.73823, 2.634907, 0.9567365, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1718552, 1.765956, 1.964558, 
    2.179932, 2.400051, 2.54904, 2.671233, 2.75353, 2.76218, 2.716284, 
    2.678235, 2.654536, 2.645386, 2.630385, 2.606484, 2.572783, 2.531231, 
    2.501281, 2.50298, 2.504332, 2.501183, 2.492334, 2.476236, 2.45244, 
    2.423495, 2.405299, 1.203, 0, 0, 0, 1.212499, 2.424298, 2.421998, 
    2.419398, 2.416498, 2.411148, 2.402947, 2.393596, 2.383746, 2.373196, 
    2.361696, 2.352695, 2.341495, 2.326445, 2.081496, 0, 1.141749, 1.481337, 
    1.020596, 0, 0, 0, 0, 0.6908975, 2.303742, 2.305192, 2.307392, 2.308942, 
    2.309993, 2.309643, 2.318692, 2.333241, 2.34999, 1.534513, 1.194381, 
    0.83097, 1.188245, 2.366691, 2.343393, 2.306497, 2.27, 2.230354, 
    2.185858, 2.146711, 2.117514, 2.095316, 2.080417, 2.072617, 2.070267, 
    2.070367, 2.073068, 2.076617, 2.079018, 2.081418, 2.082018, 2.082018, 
    2.082018, 2.082018, 2.082018, 2.082018, 2.082018, 2.082018, 2.082018, 
    2.082018, 2.082018, 2.082018, 2.082018, 2.082018, 2.082018, 2.080618, 
    2.078018, 2.075118, 2.071018, 2.065518, 2.058918, 2.050918, 2.042518, 
    2.034468, 2.027068, 2.020218,
  1.968518, 1.951017, 1.910317, 1.858617, 1.806263, 1.752511, 1.695058, 
    1.639956, 1.596756, 1.577707, 1.614661, 1.691015, 1.776271, 1.858729, 
    1.931186, 1.98114, 2.008041, 2.022341, 2.009888, 1.964033, 1.911279, 
    1.868327, 1.839627, 1.829027, 1.834528, 1.850179, 1.872781, 1.900084, 
    1.929035, 1.957985, 1.981282, 2.000028, 2.017525, 2.032575, 2.043876, 
    2.051579, 2.053533, 2.049538, 2.039392, 2.026843, 2.017044, 2.011795, 
    2.014145, 2.025044, 2.03654, 2.048385, 2.06158, 2.075027, 2.088276, 
    2.104676, 2.140836, 2.222904, 2.31432, 2.389632, 2.44109, 2.459895, 
    2.455097, 2.433496, 2.39554, 2.329722, 2.238051, 2.159685, 2.105523, 
    2.083566, 2.089264, 2.112115, 2.157714, 2.210466, 2.258017, 2.288069, 
    2.272571, 2.223479, 1.644318, 1.080187, 0.107358, 0, 0, 0, 1.444151, 
    1.528699, 1.467291, 1.416383, 1.368723, 1.301413, 1.238758, 1.178552, 
    1.13514, 1.142588, 1.185988, 1.238839, 1.305791, 1.383392, 1.470495, 
    1.553399, 1.647452, 1.726957, 1.775259, 1.810611, 1.840461, 1.861412, 
    1.875761, 1.886261, 1.893211, 1.895661, 1.895261, 1.893111, 1.890561, 
    1.88901, 1.88926, 1.89021, 1.89241, 1.89381, 1.88101, 1.835661, 1.771013, 
    1.707716, 1.665768, 1.64622, 1.655571, 1.696921, 1.753019, 1.838165, 
    1.971757, 2.129596, 2.293483, 2.467869, 2.655454, 2.782089, 2.839181, 
    2.891722, 2.654419, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.08318371, 0.8534588, 0.9522082, 1.073731, 2.296653, 
    2.576733, 2.713726, 2.804171, 2.809124, 2.756428, 2.71448, 2.688282, 
    2.677983, 2.663832, 2.641981, 2.612079, 2.57218, 2.54213, 2.542981, 
    2.542432, 2.536183, 2.523785, 2.502738, 2.471542, 2.432247, 2.046663, 
    0.6023562, 0, 0, 0, 1.214499, 2.428298, 2.425998, 2.423398, 2.420748, 
    2.415998, 2.408997, 2.401246, 2.391996, 2.382046, 2.371295, 2.363844, 
    2.353244, 2.338094, 2.091045, 0, 0.5720757, 0.3432454, 0, 0, 0, 0, 0, 
    0.6964471, 2.32199, 2.32319, 2.324891, 2.325941, 2.327241, 2.32679, 
    2.33724, 2.354189, 2.372738, 0.7144462, 0.9593654, 0.3632337, 1.804884, 
    2.385691, 2.356244, 2.311698, 2.268252, 2.221305, 2.16791, 2.120564, 
    2.085766, 2.060418, 2.044019, 2.035968, 2.033019, 2.032869, 2.035519, 
    2.038619, 2.041019, 2.043069, 2.043969, 2.043869, 2.04352, 2.043519, 
    2.04347, 2.04302, 2.04302, 2.04302, 2.042571, 2.042521, 2.042521, 
    2.042521, 2.042521, 2.042521, 2.042271, 2.040971, 2.038521, 2.035621, 
    2.031521, 2.02637, 2.01997, 2.012569, 2.004519, 1.996818, 1.990018, 
    1.983218,
  1.935517, 1.918366, 1.878516, 1.830762, 1.784759, 1.736656, 1.684603, 
    1.63425, 1.592498, 1.573147, 1.602152, 1.667859, 1.739017, 1.805976, 
    1.864984, 1.906288, 1.929541, 1.943692, 1.936389, 1.901782, 1.857277, 
    1.819423, 1.794021, 1.785468, 1.791517, 1.805268, 1.823121, 1.843725, 
    1.868278, 1.896679, 1.924777, 1.948925, 1.968776, 1.983027, 1.992228, 
    1.99573, 1.992031, 1.981683, 1.965985, 1.949887, 1.938288, 1.931938, 
    1.935188, 1.948436, 1.964535, 1.983083, 2.003431, 2.021779, 2.037277, 
    2.054877, 2.079628, 2.13289, 2.197052, 2.252811, 2.290017, 2.30117, 
    2.293821, 2.274918, 2.245665, 2.204958, 2.147543, 2.098179, 2.063521, 
    2.051818, 2.059767, 2.080319, 2.121274, 2.164433, 2.20404, 2.227895, 
    2.098567, 1.098694, 0.5405875, 0, 0, 0, 0, 0, 1.369027, 1.46142, 
    1.415511, 1.380803, 1.34575, 1.290098, 1.234996, 1.188287, 1.162032, 
    1.172431, 1.214482, 1.264933, 1.328835, 1.402887, 1.482492, 1.556149, 
    1.641004, 1.712758, 1.75701, 1.790061, 1.818961, 1.839411, 1.853762, 
    1.864262, 1.871261, 1.874311, 1.874761, 1.87346, 1.871559, 1.870509, 
    1.871009, 1.872209, 1.874459, 1.876309, 1.863009, 1.81576, 1.746762, 
    1.680962, 1.636013, 1.612765, 1.619316, 1.661366, 1.720265, 1.812412, 
    1.960704, 2.139693, 2.325483, 2.52562, 2.743254, 2.899489, 2.973179, 
    3.046166, 2.814813, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.5422095, 0, 0, 0, 1.098193, 1.705866, 2.760475, 
    2.859171, 2.861721, 2.800576, 2.754228, 2.723981, 2.711583, 2.697633, 
    2.678231, 2.653228, 2.613277, 2.582178, 2.581229, 2.578531, 2.568683, 
    2.552235, 2.526237, 2.487641, 2.437897, 1.686999, 0, 0, 0, 0, 1.216249, 
    2.431798, 2.429948, 2.427398, 2.424998, 2.420847, 2.414947, 2.408196, 
    2.400245, 2.391245, 2.381345, 2.374994, 2.365244, 2.350594, 2.101894, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.7022967, 2.341739, 2.342839, 2.34339, 2.34359, 
    2.34599, 2.346988, 2.358737, 2.377137, 1.793145, 0.3594907, 1.099652, 
    1.585965, 2.424242, 2.398496, 2.362199, 2.310703, 2.261006, 2.20711, 
    2.145964, 2.091866, 2.053268, 2.026218, 2.009068, 2.000818, 1.997519, 
    1.997368, 1.999968, 2.002619, 2.005018, 2.006369, 2.007369, 2.00687, 
    2.006519, 2.006169, 2.00552, 2.00487, 2.00452, 2.004171, 2.00357, 
    2.00337, 2.003021, 2.003021, 2.003021, 2.003021, 2.002521, 2.001321, 
    1.99947, 1.99662, 1.99277, 1.98822, 1.982469, 1.975869, 1.968768, 
    1.961668, 1.955518, 1.949367,
  1.906016, 1.889916, 1.853862, 1.813757, 1.773753, 1.73165, 1.684997, 
    1.638645, 1.600493, 1.581244, 1.600899, 1.651809, 1.706519, 1.757379, 
    1.802287, 1.834443, 1.853795, 1.866845, 1.864942, 1.843434, 1.810526, 
    1.781119, 1.763414, 1.760859, 1.769258, 1.781508, 1.794012, 1.807416, 
    1.82552, 1.850273, 1.879224, 1.904275, 1.923026, 1.934777, 1.94123, 
    1.942131, 1.936282, 1.923783, 1.904435, 1.884287, 1.871288, 1.864937, 
    1.869736, 1.885535, 1.904283, 1.925831, 1.949879, 1.971827, 1.990775, 
    2.009724, 2.033774, 2.07028, 2.116288, 2.159494, 2.187698, 2.19385, 
    2.187048, 2.172197, 2.147744, 2.116541, 2.081032, 2.050424, 2.027819, 
    2.01912, 2.026771, 2.041775, 2.070583, 2.097892, 2.124799, 1.408461, 
    0.9737872, 0, 0, 0, 0, 0, 0, 0, 1.322276, 1.425221, 1.393264, 1.370059, 
    1.339906, 1.290651, 1.24724, 1.215033, 1.198277, 1.212724, 1.254973, 
    1.302474, 1.361727, 1.428833, 1.497241, 1.559697, 1.634753, 1.700356, 
    1.741508, 1.772509, 1.80006, 1.82041, 1.83451, 1.84476, 1.85226, 1.85596, 
    1.857009, 1.856659, 1.855559, 1.855008, 1.855508, 1.856708, 1.859008, 
    1.861308, 1.847508, 1.798709, 1.728458, 1.663308, 1.617258, 1.591509, 
    1.59586, 1.636711, 1.696262, 1.792211, 1.951406, 2.145151, 2.346743, 
    2.567583, 2.81132, 2.988262, 3.079452, 3.17414, 2.949785, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2631919, 0.5648389, 
    0.6015666, 0, 0, 0, 0, 0.4087774, 1.393377, 1.444487, 2.750312, 2.828193, 
    2.779244, 2.747793, 2.734242, 2.721541, 2.706737, 2.687384, 2.649732, 
    2.618731, 2.615732, 2.610284, 2.596287, 2.576488, 2.54624, 2.500245, 
    2.442848, 1.689098, 0, 0, 0, 0, 1.217749, 2.434798, 2.433448, 2.431398, 
    2.428998, 2.425547, 2.420447, 2.414496, 2.407746, 2.399945, 2.391294, 
    2.385494, 2.375994, 2.361944, 2.112244, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7088958, 2.363487, 2.364337, 2.363937, 2.363437, 2.366238, 2.369386, 
    2.382186, 2.400786, 1.205993, 0, 2.21004, 2.453192, 2.434247, 2.401651, 
    2.358355, 2.301358, 2.246011, 2.186114, 2.119117, 2.061119, 2.020519, 
    1.993569, 1.977018, 1.968967, 1.966017, 1.965867, 1.968018, 1.970618, 
    1.972768, 1.973868, 1.974368, 1.973368, 1.973019, 1.972319, 1.971069, 
    1.970219, 1.969519, 1.968819, 1.96807, 1.96772, 1.96702, 1.96702, 
    1.96702, 1.96702, 1.96652, 1.96532, 1.96392, 1.96127, 1.958019, 1.954069, 
    1.948969, 1.943018, 1.936768, 1.930167, 1.924517, 1.919167,
  1.881014, 1.868061, 1.839855, 1.80805, 1.774995, 1.738791, 1.696889, 
    1.653737, 1.617486, 1.596288, 1.604396, 1.636309, 1.673271, 1.707781, 
    1.737691, 1.760746, 1.776798, 1.790048, 1.793894, 1.785187, 1.766777, 
    1.749419, 1.742262, 1.747407, 1.758755, 1.770105, 1.777508, 1.784612, 
    1.795516, 1.81447, 1.840722, 1.863974, 1.880526, 1.889028, 1.892779, 
    1.89183, 1.88478, 1.870731, 1.848433, 1.825035, 1.809787, 1.803986, 
    1.811684, 1.830282, 1.85203, 1.876228, 1.899881, 1.920835, 1.939288, 
    1.956341, 1.979842, 2.009644, 2.04405, 2.078804, 2.101756, 2.109602, 
    2.107298, 2.099391, 2.083233, 2.056632, 2.031278, 2.011173, 1.992374, 
    1.980578, 1.984031, 1.305496, 1.022528, 1.03224, 1.042553, 0.314493, 0, 
    0, 0, 0, 0.07895109, 0.7815709, 0.7500604, 0.724842, 1.35578, 1.395864, 
    1.374509, 1.357006, 1.331653, 1.292197, 1.265487, 1.246479, 1.239523, 
    1.25922, 1.300223, 1.344375, 1.399028, 1.457832, 1.514738, 1.567793, 
    1.634447, 1.694451, 1.732503, 1.761105, 1.786706, 1.806756, 1.820507, 
    1.830756, 1.838756, 1.843106, 1.844506, 1.844506, 1.844055, 1.844005, 
    1.844505, 1.846055, 1.848504, 1.850655, 1.836255, 1.787205, 1.718903, 
    1.655452, 1.609501, 1.582102, 1.583705, 1.620608, 1.67801, 1.774261, 
    1.936662, 2.137708, 2.351002, 2.587044, 2.849535, 3.038527, 3.145968, 
    3.259357, 3.222927, 1.246888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.1423217, 0.7559632, 1.114171, 0.1147021, 0, 0, 0, 0, 0, 
    0, 0, 1.448607, 2.821715, 2.774013, 2.74591, 2.734907, 2.726553, 
    2.717999, 2.704895, 2.674438, 2.646735, 2.642985, 2.635386, 2.618387, 
    2.596088, 2.56199, 2.510393, 2.327297, 0.8463075, 0, 0, 0, 0, 0.6100123, 
    1.219674, 2.314701, 2.435048, 2.432998, 2.429898, 2.425447, 2.420147, 
    2.414495, 2.407795, 2.400644, 2.036044, 1.19199, 1.185131, 1.059924, 0, 
    0, 0, 0, 0, 0, 0, 0.1194504, 1.551349, 2.384238, 2.385188, 2.385387, 
    2.384787, 2.387737, 2.392785, 2.406185, 2.424485, 1.217493, 0, 2.224343, 
    2.462397, 2.435502, 2.395307, 2.34551, 2.283514, 2.223516, 2.159319, 
    2.08872, 2.02912, 1.989019, 1.963967, 1.949465, 1.942615, 1.940014, 
    1.939514, 1.941514, 1.943965, 1.945515, 1.946365, 1.946416, 1.945216, 
    1.944266, 1.943316, 1.941567, 1.940217, 1.939018, 1.937818, 1.936568, 
    1.935869, 1.935269, 1.935019, 1.934969, 1.93452, 1.934269, 1.933319, 
    1.931919, 1.929419, 1.926768, 1.923418, 1.918968, 1.913667, 1.908267, 
    1.902516, 1.897516, 1.892815,
  1.862011, 1.853957, 1.834801, 1.811346, 1.785491, 1.755437, 1.717834, 
    1.677383, 1.641233, 1.616985, 1.611544, 1.623507, 1.642019, 1.659831, 
    1.675489, 1.689695, 1.703047, 1.716747, 1.726143, 1.728287, 1.724527, 
    1.720419, 1.724511, 1.737106, 1.751505, 1.761706, 1.764958, 1.766462, 
    1.770766, 1.783819, 1.805872, 1.826874, 1.840776, 1.846977, 1.849227, 
    1.846678, 1.838779, 1.82318, 1.798431, 1.772283, 1.754035, 1.747337, 
    1.756138, 1.775439, 1.797541, 1.820694, 1.838499, 1.853503, 1.866557, 
    1.87856, 1.898813, 1.929561, 1.960559, 1.992258, 2.017353, 2.034395, 
    2.040538, 2.043531, 2.040721, 2.021064, 1.998014, 1.981964, 1.959618, 
    1.652709, 0.9808066, 0.2948428, 0, 0, 0, 0, 0, 0, 0, 0, 0.7627922, 
    1.518862, 1.467047, 1.427482, 1.398218, 1.378907, 1.364754, 1.351301, 
    1.332246, 1.305686, 1.291229, 1.286219, 1.296503, 1.329239, 1.36719, 
    1.407592, 1.456597, 1.508752, 1.556707, 1.602911, 1.65872, 1.704335, 
    1.732497, 1.758199, 1.78175, 1.800601, 1.813752, 1.824102, 1.832302, 
    1.837102, 1.838752, 1.839001, 1.839001, 1.839151, 1.840001, 1.841551, 
    1.844401, 1.846001, 1.830252, 1.781602, 1.715801, 1.653601, 1.607252, 
    1.577354, 1.573659, 1.604263, 1.656518, 1.75077, 1.911571, 2.11572, 
    2.336268, 2.582712, 2.857955, 3.059047, 3.17899, 3.306982, 3.461523, 
    2.514027, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2773602, 0.9515454, 1.03773, 0.1063089, 0, 0, 0, 0, 0, 0, 0, 0.1413383, 
    1.406624, 2.058192, 2.716429, 2.711523, 2.710218, 2.709262, 2.705854, 
    2.687095, 2.66589, 2.66249, 2.65454, 2.63639, 2.61279, 2.57699, 2.521942, 
    2.212646, 0, 0, 0, 0, 0, 0, 0, 1.220351, 2.438198, 2.436498, 2.433748, 
    2.429947, 2.425297, 2.420496, 2.414646, 2.408595, 1.683496, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.199268, 2.397943, 2.399991, 2.40239, 2.404339, 
    2.404937, 2.408237, 2.414686, 2.428686, 2.446686, 1.228243, 0, 2.233596, 
    2.4648, 2.429007, 2.380962, 2.325515, 2.258618, 2.195021, 2.127922, 
    2.056322, 1.997571, 1.959769, 1.938416, 1.927413, 1.922761, 1.92076, 
    1.92051, 1.922061, 1.924311, 1.925511, 1.925661, 1.925411, 1.924062, 
    1.922512, 1.920962, 1.918563, 1.916564, 1.914514, 1.912814, 1.911065, 
    1.909865, 1.909015, 1.908515, 1.908016, 1.907515, 1.907266, 1.906316, 
    1.904916, 1.902416, 1.900016, 1.896916, 1.892966, 1.888315, 1.883515, 
    1.878714, 1.874514, 1.870614,
  1.849007, 1.845854, 1.835298, 1.819992, 1.800738, 1.776584, 1.74408, 
    1.705678, 1.668979, 1.639634, 1.621292, 1.615504, 1.616516, 1.618576, 
    1.621685, 1.62764, 1.638292, 1.652791, 1.666838, 1.677633, 1.685776, 
    1.693918, 1.707812, 1.726358, 1.742258, 1.75081, 1.750811, 1.747115, 
    1.746518, 1.755719, 1.77502, 1.79507, 1.808269, 1.814118, 1.815718, 
    1.812369, 1.80327, 1.786121, 1.757874, 1.727229, 1.705032, 1.695085, 
    1.700788, 1.718339, 1.737043, 1.754348, 1.765053, 1.773507, 1.780811, 
    1.787416, 1.802269, 1.833472, 1.868069, 1.904763, 1.940303, 1.968596, 
    1.985288, 1.999879, 2.011319, 2.005358, 1.985503, 1.967056, 1.072091, 
    0.6740042, 0, 0, 0, 0.26063, 0.8607779, 0.8405566, 0.0835314, 0, 0, 0, 
    0.7562701, 1.442692, 1.414025, 1.39621, 1.386297, 1.379541, 1.370987, 
    1.361734, 1.34973, 1.336022, 1.333962, 1.347646, 0.7363952, 0.6886249, 
    0.7072513, 1.301862, 1.586871, 1.62998, 1.667888, 1.704048, 1.740416, 
    1.756092, 1.759715, 1.767887, 1.785744, 1.802945, 1.815496, 1.825246, 
    1.833296, 1.838096, 1.839997, 1.840496, 1.840946, 1.841146, 1.841996, 
    1.843197, 1.845847, 1.846698, 1.829998, 1.781797, 1.717147, 1.654148, 
    1.605251, 1.571054, 1.56011, 1.582317, 1.627522, 1.716478, 1.873831, 
    2.078631, 2.303278, 2.555575, 2.838772, 3.050366, 3.178262, 3.315607, 
    3.480302, 2.5312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.04248967, 0.559938, 0.8842971, 0.6171623, 0.0498706, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.6764576, 1.34941, 2.538421, 2.678276, 2.688017, 2.697407, 
    2.691948, 2.679392, 2.676241, 2.668891, 2.651339, 2.628388, 2.593238, 
    2.53499, 2.219445, 0, 0, 0, 0, 0, 0, 0, 0.122173, 1.58721, 2.439248, 
    2.437098, 2.433947, 2.429947, 2.425496, 2.420696, 2.415196, 1.688746, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.8430032, 2.167941, 1.203504, 1.809847, 
    2.417589, 2.420938, 2.423587, 2.427237, 2.434037, 2.448187, 2.465588, 
    1.858862, 0.3731202, 2.237, 2.460406, 2.415262, 2.359967, 2.29962, 
    2.229522, 2.163023, 2.094424, 2.023923, 1.967821, 1.933517, 1.916714, 
    1.910859, 1.910056, 1.909006, 1.909006, 1.910056, 1.911806, 1.912757, 
    1.912657, 1.911907, 1.909908, 1.907758, 1.905609, 1.902959, 1.899759, 
    1.89701, 1.89496, 1.892611, 1.891211, 1.889761, 1.888662, 1.887612, 
    1.887362, 1.886513, 1.884963, 1.883414, 1.880764, 1.878014, 1.874914, 
    1.871014, 1.866964, 1.862763, 1.858913, 1.855462, 1.852212,
  1.838009, 1.838707, 1.836201, 1.828296, 1.815741, 1.797236, 1.769883, 
    1.73413, 1.69723, 1.662084, 1.632641, 1.6129, 1.599509, 1.588218, 
    1.580426, 1.57973, 1.587532, 1.602682, 1.620529, 1.637925, 1.653521, 
    1.670167, 1.690164, 1.711513, 1.726765, 1.732567, 1.72922, 1.721373, 
    1.718274, 1.727072, 1.74762, 1.770316, 1.786762, 1.795159, 1.798107, 
    1.794707, 1.784508, 1.76451, 1.730815, 1.69372, 1.665526, 1.649931, 
    1.650435, 1.664739, 1.679042, 1.689497, 1.693502, 1.695007, 1.696312, 
    1.697266, 1.70652, 1.735022, 1.771572, 1.817565, 1.864807, 1.904498, 
    1.931541, 1.958231, 1.98487, 1.99346, 1.487996, 0.9828745, 0.09804709, 0, 
    0, 0, 0.08232613, 1.078213, 1.655353, 1.613106, 0.8296035, 0.7268064, 
    0.3592095, 0, 0.6971143, 1.402166, 1.396, 1.395091, 1.398384, 1.399679, 
    1.397224, 1.39267, 1.387514, 1.385455, 1.399941, 1.438571, 0.1450415, 0, 
    0.4563134, 1.499378, 1.780695, 1.811954, 1.836865, 1.855131, 1.863255, 
    1.842482, 1.813956, 1.79033, 1.797888, 1.813639, 1.82524, 1.83439, 
    1.841841, 1.846591, 1.848491, 1.849341, 1.849941, 1.849991, 1.850241, 
    1.851192, 1.852942, 1.852644, 1.833996, 1.785947, 1.720098, 1.654751, 
    1.601754, 1.56136, 1.541917, 1.553725, 1.59178, 1.673935, 1.826538, 
    2.030889, 2.258538, 2.513836, 2.801134, 3.020228, 3.153525, 3.295922, 
    3.464471, 2.520017, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4254379, 0.8514993, 0.8514993, 0.2554498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.322994, 2.637683, 2.664517, 2.68576, 2.6931, 2.687697, 2.686244, 
    2.680243, 2.663892, 2.642841, 2.60874, 2.549439, 2.227243, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.3667001, 1.831916, 2.440098, 2.437398, 2.433748, 2.430496, 
    2.426546, 2.421695, 1.693646, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.694341, 
    2.181638, 0, 0.6066601, 2.068487, 2.438036, 2.442385, 2.446735, 2.452836, 
    2.465637, 2.48054, 2.490493, 1.620636, 2.359167, 2.44966, 2.395516, 
    2.334021, 2.270672, 2.198424, 2.130524, 2.062622, 1.99452, 1.942516, 
    1.913262, 1.901858, 1.901754, 1.904851, 1.904501, 1.904501, 1.905451, 
    1.906302, 1.907001, 1.906652, 1.905402, 1.902902, 1.900253, 1.897254, 
    1.893955, 1.890105, 1.886755, 1.884105, 1.881555, 1.879556, 1.877507, 
    1.875807, 1.874058, 1.872709, 1.871259, 1.86911, 1.866511, 1.863462, 
    1.859762, 1.856413, 1.852463, 1.848114, 1.844514, 1.840914, 1.837963, 
    1.835812,
  1.82551, 1.828659, 1.832156, 1.830301, 1.823248, 1.809895, 1.787341, 
    1.754938, 1.718737, 1.680089, 1.642094, 1.612501, 1.589257, 1.568812, 
    1.553166, 1.548119, 1.55402, 1.56902, 1.590167, 1.612814, 1.632012, 
    1.651911, 1.673911, 1.693914, 1.706267, 1.70847, 1.701273, 1.690575, 
    1.687274, 1.698671, 1.723667, 1.751812, 1.774007, 1.787453, 1.794399, 
    1.792047, 1.780498, 1.756352, 1.715808, 1.671414, 1.63602, 1.613226, 
    1.606532, 1.615487, 1.625291, 1.629496, 1.626951, 1.621506, 1.616811, 
    1.612116, 1.61552, 1.642022, 1.677573, 1.731319, 1.787962, 1.838404, 
    1.875546, 1.914087, 1.956524, 1.68483, 0.4962869, 0, 0, 0, 0, 0, 
    0.1589095, 1.576495, 1.528342, 1.486489, 1.446326, 1.417112, 0.7027766, 
    0, 0.6976852, 1.393796, 1.400992, 1.410286, 1.421879, 1.431771, 1.437464, 
    1.439657, 1.369067, 0.7087738, 1.111271, 1.553301, 0.9446871, 0.9410032, 
    1.457635, 1.96102, 1.995523, 2.013484, 2.022598, 2.019115, 1.998236, 
    1.941914, 1.880441, 1.825616, 1.81848, 1.831833, 1.842234, 1.850535, 
    1.857335, 1.861736, 1.863985, 1.864836, 1.864986, 1.864986, 1.864736, 
    1.865187, 1.865987, 1.863639, 1.841242, 1.792243, 1.724495, 1.655848, 
    1.598251, 1.551156, 1.522313, 1.523022, 1.553279, 1.630083, 1.778236, 
    1.981537, 2.209538, 2.465539, 2.75369, 2.978337, 3.114536, 3.259834, 
    3.251616, 1.256392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7703943, 0.8559936, 0.6413351, 0.128003, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.2577542, 2.593135, 2.645512, 2.678302, 2.692501, 2.691947, 
    2.693744, 2.689243, 2.672644, 2.653343, 2.619494, 2.560794, 2.235993, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.61172, 1.222739, 2.318441, 2.437546, 2.435496, 
    2.432395, 1.336032, 0.8493968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8515001, 
    2.196788, 0.8564876, 0, 1.71709, 2.456086, 2.461335, 2.466235, 2.470437, 
    2.479991, 2.489995, 2.495, 2.493355, 2.474661, 2.432866, 2.371521, 
    2.305274, 2.240674, 2.167923, 2.101271, 2.036718, 1.972164, 1.92521, 
    1.901256, 1.895851, 1.901047, 1.906646, 1.906995, 1.906995, 1.907895, 
    1.908146, 1.908496, 1.907796, 1.905947, 1.903247, 1.899998, 1.896398, 
    1.891998, 1.887599, 1.883999, 1.88075, 1.877551, 1.874751, 1.872002, 
    1.869603, 1.866953, 1.864054, 1.861755, 1.858756, 1.854557, 1.850159, 
    1.84501, 1.840562, 1.835963, 1.831113, 1.827263, 1.823413, 1.820563, 
    1.819613,
  1.811013, 1.815912, 1.82271, 1.824708, 1.821255, 1.811852, 1.7933, 
    1.763898, 1.728997, 1.688847, 1.646099, 1.611301, 1.583253, 1.559054, 
    1.540304, 1.533954, 1.539503, 1.554503, 1.577653, 1.602602, 1.622503, 
    1.641356, 1.66076, 1.676065, 1.68377, 1.682023, 1.671276, 1.658228, 
    1.657275, 1.67347, 1.704664, 1.739458, 1.768003, 1.787447, 1.799743, 
    1.80004, 1.786991, 1.757146, 1.708803, 1.65661, 1.614016, 1.583673, 
    1.569079, 1.571285, 1.576788, 1.575991, 1.566997, 1.555502, 1.545056, 
    1.534261, 1.532964, 1.554521, 1.587574, 1.644423, 1.708518, 1.76816, 
    1.814553, 1.864794, 1.923679, 1.664076, 0.4879314, 0, 0, 0, 0, 0, 
    0.7283345, 1.466285, 1.425824, 1.392014, 1.370048, 1.359132, 1.016196, 
    0.2026101, 0.06981675, 0.909766, 1.410742, 1.429533, 1.451422, 1.472612, 
    1.489701, 0.9634445, 0.7436284, 0.7973123, 1.220765, 1.685183, 1.820816, 
    1.976896, 2.102583, 2.17613, 2.205885, 2.209247, 2.201611, 2.177876, 
    2.131846, 2.044169, 1.950944, 1.869263, 1.847173, 1.856876, 1.865728, 
    1.873178, 1.879329, 1.883229, 1.88548, 1.88598, 1.88598, 1.88583, 
    1.88523, 1.88533, 1.885381, 1.880433, 1.854735, 1.803838, 1.73384, 
    1.661593, 1.599996, 1.546801, 1.508659, 1.497669, 1.519027, 1.589733, 
    1.733886, 1.935588, 2.161041, 2.413446, 2.697901, 2.925051, 3.059055, 
    3.20251, 3.01641, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.777594, 0.7340114, 0.2153601, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.397382, 1.369521, 1.347261, 1.336858, 1.335857, 1.345254, 0.8834068, 
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    1.767168, 1.765769,
  1.752524, 1.759174, 1.769773, 1.776272, 1.777521, 1.77352, 1.761318, 
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    1.850892, 1.831298, 1.814503, 1.798408, 1.783111, 1.769815, 1.759768, 
    1.751821, 1.745722, 1.743623,
  1.725529, 1.73253, 1.743779, 1.751078, 1.753277, 1.750576, 1.740274, 
    1.718722, 1.68927, 1.649669, 1.606017, 1.569966, 1.544265, 1.526262, 
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    1.501048, 1.545343, 1.610235, 1.678825, 1.737266, 1.786606, 1.829397, 
    1.853639, 1.849735, 1.812933, 1.743931, 1.665283, 1.598487, 1.54604, 
    1.507495, 1.48565, 1.473503, 1.461355, 1.439305, 1.412359, 1.388014, 
    1.361219, 1.335778, 1.325439, 1.33405, 1.37556, 1.28681, 0.4644214, 
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    1.335015, 1.321864, 1.315765, 1.316764, 1.333511, 1.366007, 1.398252, 
    1.428392, 1.498208, 1.594274, 1.692044, 1.499153, 1.388075, 1.927699, 
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    1.811254, 1.78976, 1.769665, 1.752569, 1.739522, 1.728925, 1.720777, 
    1.717628,
  1.694535, 1.701535, 1.712786, 1.720236, 1.723286, 1.721784, 1.713382, 
    1.694828, 1.667775, 1.630571, 1.588569, 1.554267, 1.530015, 1.514862, 
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    1.857853, 1.857998, 1.824194, 1.758389, 1.681933, 1.61448, 1.559282, 
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    1.320515, 1.308064, 1.302213, 1.303513, 1.323509, 1.359955, 1.396152, 
    1.437838, 1.545943, 1.6789, 1.711221, 0.6394079, 1.023412, 2.085322, 
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    2.781314, 2.791316, 2.780965, 2.752414, 2.695514, 2.590116, 2.435069, 
    2.282923, 2.154229, 2.095434, 2.07624, 2.067195, 2.062349, 2.061001, 
    2.061101, 2.061452, 2.061452, 2.060951, 2.060152, 2.058203, 2.055904, 
    2.051156, 2.038459, 2.005211, 1.950262, 1.879161, 1.80311, 1.730961, 
    1.659513, 1.588966, 1.534222, 1.510478, 1.537833, 1.634993, 1.778706, 
    1.940022, 2.113242, 2.297864, 2.438419, 2.533073, 2.612331, 2.674093, 
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    2.157712, 2.132425, 2.118685, 2.116092, 2.116792, 2.115191, 2.11149, 
    2.105189, 2.095388, 2.085437, 2.075136, 2.063734, 2.049533, 2.033685, 
    2.016788, 1.996695, 1.972651, 1.946209, 1.915218, 1.877879, 1.839742, 
    1.807754, 1.779612, 1.753768, 1.732173, 1.715777, 1.70253, 1.691883, 
    1.687484,
  1.661038, 1.667339, 1.677391, 1.684591, 1.687792, 1.68749, 1.681438, 
    1.666234, 1.643029, 1.610373, 1.572516, 1.541361, 1.519757, 1.508302, 
    1.506448, 1.513445, 1.528494, 1.547745, 1.570649, 1.581502, 1.577757, 
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    1.847071, 1.851267, 1.821163, 1.760557, 1.691397, 1.629987, 1.576281, 
    1.533379, 1.506678, 1.492478, 1.478629, 1.458372, 1.428218, 1.394467, 
    1.356168, 1.313227, 1.277641, 0.9462048, 0.644179, 0.1986514, 1.150778, 
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    2.407598, 2.451423, 2.553544, 2.687557, 2.797172, 2.85288, 2.861033, 
    2.851932, 2.825178, 2.769376, 2.664522, 2.508471, 2.353423, 2.220777, 
    2.156932, 2.132388, 2.118194, 2.109249, 2.105602, 2.104953, 2.104953, 
    2.104953, 2.104404, 2.103154, 2.100954, 2.097007, 2.089261, 2.074363, 
    2.039464, 1.984614, 1.915161, 1.840609, 1.768208, 1.69511, 1.621912, 
    1.563514, 1.535218, 1.557324, 1.646232, 1.777746, 1.924511, 2.080729, 
    2.245948, 2.383799, 2.475302, 2.548607, 2.600616, 2.613372, 2.595322, 
    1.651269, 0.1251711, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5576489, 
    1.285705, 0.2137742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1444282, 0.7232136, 
    1.014, 0.6341772, 0.4454882, 0, 0.6882267, 0.0983181, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6359107, 
    2.172769, 2.524088, 2.474133, 2.42013, 2.373131, 2.334076, 2.291777, 
    2.273624, 2.278215, 2.299756, 2.333596, 2.364341, 2.391238, 2.403289, 
    2.394948, 2.369358, 2.333272, 2.286941, 2.240558, 2.202922, 2.179283, 
    2.170539, 2.171239, 2.171437, 2.169534, 2.164731, 2.156828, 2.148426, 
    2.140023, 2.13067, 2.117818, 2.101418, 2.080822, 2.054679, 2.023987, 
    1.989946, 1.949956, 1.90132, 1.850734, 1.806998, 1.770608, 1.738365, 
    1.711621, 1.691027, 1.674281, 1.661383, 1.655186,
  1.625543, 1.630794, 1.639445, 1.645946, 1.648797, 1.649197, 1.645544, 
    1.634438, 1.616531, 1.590223, 1.558915, 1.532908, 1.516001, 1.509594, 
    1.512338, 1.522235, 1.537734, 1.556036, 1.576588, 1.584241, 1.576994, 
    1.557851, 1.523859, 1.484917, 1.446522, 1.408826, 1.37458, 1.35508, 
    1.373533, 1.424534, 1.499283, 1.580084, 1.654784, 1.723533, 1.78653, 
    1.825977, 1.833773, 1.807967, 1.754657, 1.694795, 1.642984, 1.596773, 
    1.558763, 1.535257, 1.52395, 1.513691, 1.499135, 1.472481, 1.439929, 
    1.401428, 1.35353, 1.304048, 0.9549908, 0.1908063, 0.562595, 0.4574589, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.06600278, 0.851274, 1.291513, 1.281307, 
    1.28095, 1.286047, 1.311745, 1.357039, 1.401982, 1.459924, 1.628207, 
    1.840921, 0.9887913, 0, 1.185918, 2.410335, 2.473042, 2.512947, 2.537856, 
    2.566266, 2.639661, 2.745314, 2.838486, 2.884749, 2.889853, 2.882102, 
    2.858747, 2.80704, 2.710375, 2.567146, 2.419427, 2.285027, 2.216882, 
    2.187038, 2.167694, 2.15395, 2.147154, 2.144956, 2.144706, 2.144457, 
    2.143507, 2.142506, 2.139209, 2.132413, 2.11992, 2.101775, 2.065976, 
    2.012673, 1.94567, 1.873567, 1.801965, 1.728614, 1.655362, 1.596211, 
    1.565962, 1.584015, 1.665474, 1.785885, 1.920248, 2.062313, 2.212178, 
    2.344141, 2.434042, 2.503295, 2.5492, 2.557704, 2.540802, 2.504989, 
    1.22274, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.324902, 0.5415034, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.2895, 0.965, 0.6525904, 0.05187006, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.9152685, 2.505312, 2.593944, 2.5391, 2.490552, 2.446469, 
    2.399229, 2.384375, 2.395418, 2.430148, 2.47164, 2.507334, 2.53708, 
    2.546934, 2.532091, 2.497601, 2.447368, 2.384089, 2.322256, 2.271672, 
    2.238233, 2.224837, 2.225837, 2.228683, 2.229779, 2.228225, 2.22342, 
    2.217667, 2.211914, 2.205161, 2.194906, 2.179654, 2.156007, 2.124063, 
    2.086022, 2.043682, 1.994343, 1.933806, 1.870571, 1.814235, 1.766651, 
    1.726461, 1.693919, 1.668774, 1.647829, 1.631884, 1.623087,
  1.609494, 1.613696, 1.620449, 1.62575, 1.628251, 1.629, 1.62675, 1.620095, 
    1.608237, 1.589727, 1.566266, 1.546858, 1.535701, 1.534346, 1.541691, 
    1.554189, 1.568941, 1.585095, 1.6025, 1.606456, 1.59596, 1.572514, 
    1.533268, 1.488973, 1.446976, 1.40603, 1.368134, 1.345641, 1.360248, 
    1.406708, 1.476671, 1.552331, 1.624039, 1.691194, 1.755095, 1.796892, 
    1.808537, 1.788679, 1.745315, 1.697648, 1.656983, 1.621219, 1.592108, 
    1.5745, 1.567696, 1.564389, 1.554584, 1.53093, 1.500427, 1.462926, 
    1.413428, 1.353635, 0.9767426, 0.6393273, 0.5635504, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.1941184, 0.6445552, 0.6406457, 0.6419489, 0.6451566, 
    0.6585891, 1.166474, 1.416933, 1.483221, 1.67194, 1.914554, 0.1975896, 
    0.375739, 1.887385, 2.560109, 2.61587, 2.643893, 2.652124, 2.662108, 
    2.69461, 2.754067, 2.812827, 2.840758, 2.840915, 2.835262, 2.817603, 
    2.774739, 2.696311, 2.583068, 2.459729, 2.34094, 2.274682, 2.240186, 
    2.215194, 2.19615, 2.185755, 2.181657, 2.180708, 2.180458, 2.179957, 
    2.178558, 2.172463, 2.160421, 2.14153, 2.118685, 2.082236, 2.031433, 
    1.967678, 1.898674, 1.82947, 1.758515, 1.688709, 1.631505, 1.601703, 
    1.617405, 1.691315, 1.801328, 1.924741, 2.055154, 2.193167, 2.316125, 
    2.405276, 2.472028, 2.514282, 2.521132, 2.507776, 2.482862, 2.324596, 
    1.20832, 0.6015415, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.0471856, 0.6197991, 0.7243335, 0.1451001, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 2.515955, 2.75178, 2.698022, 2.646726, 2.588294, 2.531256, 2.51282, 
    2.520285, 2.564384, 2.61058, 2.647584, 2.672001, 2.674365, 2.652425, 
    2.611131, 2.551635, 2.478538, 2.401306, 2.337672, 2.294683, 2.277638, 
    2.280085, 2.28618, 2.290876, 2.29372, 2.293314, 2.290909, 2.288156, 
    2.284701, 2.277997, 2.264894, 2.241291, 2.205793, 2.160552, 2.110409, 
    2.052569, 1.98168, 1.906842, 1.839454, 1.780466, 1.731127, 1.692833, 
    1.664236, 1.640538, 1.62149, 1.610791,
  1.630453, 1.633255, 1.638506, 1.644004, 1.648199, 1.651343, 1.652336, 
    1.650878, 1.644921, 1.634062, 1.619551, 1.607291, 1.601635, 1.60438, 
    1.615077, 1.629474, 1.643374, 1.656927, 1.669981, 1.669986, 1.656639, 
    1.63104, 1.589492, 1.540997, 1.495403, 1.449811, 1.404973, 1.373838, 
    1.378456, 1.411779, 1.465856, 1.527979, 1.589547, 1.650058, 1.711364, 
    1.754812, 1.771055, 1.759643, 1.729025, 1.696604, 1.669735, 1.646718, 
    1.628851, 1.618092, 1.614937, 1.617031, 1.612423, 1.592168, 1.564913, 
    1.52926, 1.479459, 1.203897, 0.3353427, 0.9054297, 0.1293471, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4863221, 0.7137936, 
    0.7494332, 0.8506375, 0.9795615, 0.1012043, 0.7761922, 2.633306, 
    2.713612, 2.756733, 2.761517, 2.740908, 2.717855, 2.706861, 2.721864, 
    2.735615, 2.738495, 2.733949, 2.731944, 2.722882, 2.695258, 2.64352, 
    2.566324, 2.475732, 2.388642, 2.330381, 2.292484, 2.262689, 2.239193, 
    2.225397, 2.220746, 2.222937, 2.225481, 2.226228, 2.223281, 2.213187, 
    2.194345, 2.168005, 2.139064, 2.100219, 2.048425, 1.986226, 1.919924, 
    1.85397, 1.787663, 1.723206, 1.670598, 1.642197, 1.655102, 1.720313, 
    1.819826, 1.931492, 2.051206, 2.178719, 2.293231, 2.380037, 2.445138, 
    2.48504, 2.493037, 2.48528, 2.471216, 2.453692, 2.440006, 1.21772, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2859778, 
    2.857384, 1.425899, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.04741916, 0.4770488, 0.2418578, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.08087, 2.824425, 2.920154, 2.870054, 2.820296, 2.758885, 2.694042, 
    2.664306, 2.659421, 2.697488, 2.747382, 2.786324, 2.79729, 2.780823, 
    2.742504, 2.694414, 2.629872, 2.553528, 2.468029, 2.395436, 2.34594, 
    2.327389, 2.331987, 2.341932, 2.351524, 2.359717, 2.36451, 2.366654, 
    2.368097, 2.368792, 2.367033, 2.358126, 2.338369, 2.302418, 2.251673, 
    2.195879, 2.132034, 2.05409, 1.971347, 1.896404, 1.829512, 1.771223, 
    1.726533, 1.694937, 1.668592, 1.646547, 1.633951,
  1.686402, 1.689549, 1.70183, 1.721595, 1.743054, 1.765559, 1.789158, 
    1.807265, 1.807655, 1.803148, 1.795691, 1.782852, 1.771424, 1.764904, 
    1.762342, 1.761634, 1.766807, 1.778958, 1.795344, 1.800227, 1.792759, 
    1.774089, 1.738172, 1.687124, 1.635982, 1.582395, 1.525463, 1.472006, 
    1.451604, 1.456056, 1.477563, 1.511812, 1.556538, 1.605107, 1.660268, 
    1.704069, 1.725063, 1.72365, 1.708079, 1.692008, 1.680487, 1.671768, 
    1.6674, 1.66384, 1.664685, 1.672177, 1.67332, 1.657863, 1.635406, 
    1.603499, 1.555944, 1.051683, 0, 0.4579475, 0.06542107, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8226883, 
    2.786301, 2.855873, 2.877757, 2.853098, 2.801437, 2.745574, 2.693075, 
    2.667875, 2.644121, 2.623151, 2.615406, 2.618897, 2.620132, 2.611208, 
    2.587524, 2.545081, 2.487488, 2.431997, 2.385727, 2.346078, 2.312932, 
    2.286435, 2.270836, 2.270825, 2.280914, 2.289953, 2.293498, 2.289199, 
    2.273658, 2.247618, 2.21248, 2.174444, 2.127211, 2.068773, 2.00338, 
    1.937033, 1.873979, 1.812673, 1.755113, 1.708305, 1.68245, 1.691605, 
    1.747666, 1.835035, 1.934251, 2.042916, 2.159281, 2.264244, 2.347298, 
    2.41075, 2.449851, 2.461544, 2.461282, 2.458217, 2.459393, 2.471514, 
    1.238726, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.998497, 3.144691, 5.72556, 4.263309, 0.8448292, 0, 0, 0, 1.702126, 
    2.344038, 2.209342, 2.058589, 1.979397, 1.909032, 1.29719, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.086441, 2.961441, 
    3.065572, 3.017068, 2.974508, 2.919204, 2.858236, 2.103926, 2.385756, 
    2.854157, 2.907305, 2.948508, 2.945278, 2.901964, 2.839446, 2.772385, 
    2.688527, 2.604242, 2.516895, 2.441695, 2.391692, 2.374589, 2.382533, 
    2.396927, 2.412369, 2.42716, 2.437701, 2.445144, 2.452237, 2.459375, 
    2.465613, 2.465597, 2.454382, 2.422024, 2.369374, 2.310575, 2.243727, 
    2.162031, 2.075085, 1.994093, 1.918009, 1.848926, 1.797235, 1.762389, 
    1.732792, 1.707445, 1.6916,
  1.77885, 1.787239, 1.817958, 1.867015, 1.919971, 1.977822, 2.043112, 
    2.100748, 2.128483, 2.153062, 2.177033, 2.191297, 2.205404, 2.226149, 
    2.242208, 2.245852, 2.249881, 2.260584, 2.273358, 2.267606, 2.244517, 
    2.200806, 2.127077, 2.034389, 1.943689, 1.85542, 1.762599, 1.664925, 
    1.598751, 1.553931, 1.52451, 1.516923, 1.536515, 1.56869, 1.613258, 
    1.654364, 1.67906, 1.687646, 1.687526, 1.687255, 1.690736, 1.696316, 
    1.705449, 1.709388, 1.714432, 1.727176, 1.734766, 1.725656, 1.710643, 
    1.685481, 1.558803, 0.5401186, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4243037, 2.190836, 2.978201, 
    2.971145, 2.916633, 2.843451, 2.765373, 2.683899, 2.62808, 2.578054, 
    2.541316, 2.532714, 2.542755, 2.554042, 2.560426, 2.556757, 2.539283, 
    2.508954, 2.477581, 2.442521, 2.402471, 2.366924, 2.338376, 2.323074, 
    2.332061, 2.35065, 2.366791, 2.374685, 2.369635, 2.348392, 2.313855, 
    2.267971, 2.21769, 2.15671, 2.088724, 2.016685, 1.948038, 1.886488, 
    1.830181, 1.78052, 1.740808, 1.719202, 1.726651, 1.774362, 1.848729, 
    1.935496, 2.032412, 2.137377, 2.233389, 2.312545, 2.373848, 2.412649, 
    2.428993, 2.437282, 2.443821, 2.458111, 2.4854, 1.875534, 0.3759222, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.438068, 4.891633, 
    5.759169, 5.742594, 5.687964, 1.697241, 0.2664216, 2.646415, 2.565985, 
    4.168884, 4.697458, 4.441569, 4.174124, 4.029236, 3.891327, 3.209636, 
    0.9331987, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    2.927989, 3.199071, 3.15232, 3.111526, 3.055832, 3.001382, 1.493168, 
    1.02233, 2.853605, 3.057595, 3.096598, 3.080312, 3.015783, 2.934501, 
    2.847914, 2.743825, 2.650434, 2.55979, 2.483942, 2.436089, 2.421784, 
    2.434727, 2.45442, 2.47621, 2.498499, 2.515191, 2.529131, 2.543768, 
    2.561351, 2.579682, 2.594059, 2.595839, 2.572972, 2.522815, 2.463265, 
    2.393571, 2.308427, 2.217184, 2.128795, 2.04146, 1.959178, 1.898344, 
    1.859102, 1.827205, 1.799957, 1.782755,
  1.908289, 1.925426, 1.978494, 2.058601, 2.143406, 2.236608, 2.345746, 
    2.451675, 2.529899, 2.610216, 2.69692, 2.78136, 2.869746, 2.968634, 
    3.055628, 3.106702, 3.130418, 3.140865, 3.134544, 3.09145, 3.018827, 
    2.908423, 2.749489, 2.571215, 2.405025, 2.251426, 2.095623, 1.937366, 
    1.812902, 1.706294, 1.614139, 1.55482, 1.539725, 1.550161, 1.579236, 
    1.613051, 1.639051, 1.656291, 1.669624, 1.684204, 1.701484, 1.720167, 
    1.740255, 1.751894, 1.761687, 1.778482, 1.792374, 1.791412, 1.784153, 
    1.762206, 0.8517517, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7598971, 2.610451, 3.039515, 
    2.958751, 2.877704, 2.791753, 2.699756, 2.632307, 2.573955, 2.535897, 
    2.530739, 2.546781, 2.565174, 2.578671, 2.581473, 2.574218, 2.556414, 
    2.534411, 2.502312, 2.461664, 2.424666, 2.395016, 2.382959, 2.400498, 
    2.426639, 2.44893, 2.460876, 2.455376, 2.429382, 2.385895, 2.328112, 
    2.261488, 2.185211, 2.106128, 2.025491, 1.952899, 1.891748, 1.839344, 
    1.797134, 1.766421, 1.751708, 1.760804, 1.802609, 1.866522, 1.941737, 
    2.027102, 2.121965, 2.210026, 2.284782, 2.343785, 2.382285, 2.401483, 
    2.416276, 2.429668, 2.451059, 2.484602, 2.5065, 1.63026, 0.1251942, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.919196, 2.81894, 2.887196, 
    4.375761, 5.852147, 5.867577, 5.83744, 5.750858, 3.669006, 3.001589, 
    5.312635, 5.145003, 4.922069, 4.688617, 4.459033, 4.24867, 4.119565, 
    3.988355, 3.859941, 1.89269, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.214549, 3.212061, 3.325029, 3.279577, 2.090085, 
    3.011452, 2.646434, 0.7639084, 0, 1.38381, 2.045588, 3.197622, 3.174725, 
    3.09744, 3.004604, 2.909415, 2.79952, 2.701324, 2.605084, 2.526191, 
    2.478443, 2.466441, 2.484086, 2.509926, 2.538567, 2.568007, 2.593043, 
    2.61887, 2.647493, 2.68291, 2.720775, 2.753248, 2.770325, 2.760306, 
    2.715199, 2.655698, 2.582204, 2.491713, 2.393026, 2.29549, 2.197256, 
    2.102672, 2.031584, 1.988287, 1.953742, 1.924945, 1.907197,
  2.073732, 2.099271, 2.172943, 2.281554, 2.397359, 2.525757, 2.67904, 
    2.835665, 2.968333, 3.108345, 3.265188, 3.431511, 3.600891, 3.779023, 
    3.942858, 4.051368, 4.103271, 4.117063, 4.09129, 4.008847, 3.881679, 
    3.705173, 3.467235, 3.202459, 2.955382, 2.726151, 2.500506, 2.275256, 
    2.088051, 1.91555, 1.754504, 1.634249, 1.575919, 1.558165, 1.567547, 
    1.58852, 1.610531, 1.631481, 1.654819, 1.682352, 1.711487, 1.739926, 
    1.767766, 1.786556, 1.802446, 1.82289, 1.841683, 1.568351, 0.911926, 
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    2.623595, 2.644096, 2.656204, 2.654764, 2.646522, 2.628129, 2.604486, 
    2.569843, 2.527346, 2.489148, 2.459697, 2.451144, 2.474987, 2.50663, 
    2.533376, 2.548172, 2.542123, 2.511381, 2.459294, 2.388763, 2.304637, 
    2.21246, 2.120979, 2.030245, 1.951655, 1.88926, 1.839805, 1.804794, 
    1.784128, 1.778963, 1.793053, 1.832903, 1.890558, 1.956969, 2.032831, 
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    5.129293, 4.897254, 4.669738, 4.457572, 4.274009, 4.149251, 4.022, 
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    2.277722, 2.199281, 2.153235, 2.116288, 2.08584, 2.066641,
  2.273667, 2.306207, 2.39828, 2.532542, 2.678297, 2.841545, 3.03883, 
    3.246303, 3.434019, 3.635374, 3.866558, 4.119475, 4.370799, 4.628079, 
    4.869811, 5.039467, 5.12292, 5.141663, 5.096195, 4.974804, 4.794084, 
    4.555625, 4.243186, 3.896258, 3.568028, 3.261143, 2.96495, 2.6724, 
    2.420949, 2.180703, 1.946868, 1.76102, 1.652849, 1.600657, 1.585199, 
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    2.318405, 2.35381, 2.377606, 2.399749, 2.422244, 2.453239, 2.492484, 
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    2.581195, 2.602392, 2.635138, 2.672781, 2.715219, 2.771038, 2.838549, 
    2.914456, 3.006358, 3.100514, 3.177377, 3.230097, 3.24593, 3.211972, 
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    2.39862, 2.350672, 2.312871, 2.281223, 2.260875,
  2.508102, 2.547291, 2.657113, 2.816074, 2.990231, 3.186779, 3.425715, 
    3.68219, 3.922958, 4.184716, 4.490649, 4.828617, 5.161987, 5.498162, 
    5.818236, 6.049239, 6.164338, 6.188827, 6.123557, 5.963168, 5.731747, 
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    2.803111, 2.496064, 2.187681, 1.932894, 1.770534, 1.677453, 1.631505, 
    1.610243, 1.607968, 1.617234, 1.642946, 1.682994, 1.724741, 1.764037, 
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    2.61292, 2.516388, 2.400611, 2.279183, 2.162301, 2.050766, 1.959826, 
    1.893729, 1.849673, 1.831112, 1.833593, 1.851673, 1.882709, 1.926804, 
    1.978159, 2.031419, 2.090633, 2.158151, 2.222069, 2.275484, 2.318046, 
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    1.211148, 1.288452, 1.239707, 0, 0, 0, 0, 0, 0, 3.965882, 5.913587, 
    6.159928, 6.218803, 6.273128, 6.34394, 6.27682, 6.018473, 5.77272, 
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    0.4988137, 0, 0.4636151, 0.7726918, 2.034882, 2.845104, 2.763179, 
    2.696656, 2.657088, 2.653131, 2.676975, 2.71287, 2.755411, 2.806148, 
    2.882664, 2.977269, 3.083069, 3.205272, 3.328127, 3.42884, 3.499813, 
    3.526197, 3.496242, 3.421055, 3.318576, 3.196344, 3.069104, 2.946361, 
    2.824318, 2.709318, 2.628563, 2.580861, 2.542961, 2.510612, 2.489612,
  2.774038, 2.819878, 2.947, 3.13031, 3.331666, 3.559965, 3.837604, 4.139981, 
    4.43115, 4.750308, 5.12869, 5.549604, 5.964172, 6.378744, 6.777216, 
    7.070313, 7.218757, 7.250345, 7.166774, 6.967687, 6.686171, 6.330466, 
    5.879623, 5.381241, 4.9081, 4.458761, 4.023973, 3.602029, 3.22378, 
    2.851836, 2.471252, 2.146365, 1.925465, 1.786095, 1.705604, 1.660394, 
    1.641174, 1.638397, 1.654815, 1.69088, 1.731238, 1.771588, 1.812437, 
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    2.878587, 2.828097, 2.775903, 2.736352, 2.711497, 2.711339, 2.746035, 
    2.784332, 2.814232, 2.829734, 2.818037, 2.773593, 2.698354, 2.59122, 
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    5.941236, 3.395393, 5.358085, 5.087967, 4.874524, 2.566974, 1.574209, 0, 
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    3.777988, 3.813973, 3.787218, 3.703284, 3.587157, 3.454622, 3.322477, 
    3.197827, 3.074225, 2.961468, 2.885905, 2.841297, 2.804045, 2.771445, 
    2.749847,
  3.064489, 3.116977, 3.261796, 3.469054, 3.69711, 3.955958, 4.269948, 
    4.615327, 4.954347, 5.328008, 5.775893, 6.278156, 6.772372, 7.263792, 
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    7.232115, 6.715826, 6.148938, 5.61279, 5.100091, 4.599599, 4.114604, 
    3.676204, 3.241657, 2.792222, 2.399187, 2.118637, 1.929773, 1.810892, 
    1.740237, 1.702371, 1.684448, 1.687823, 1.712597, 1.745464, 1.781827, 
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    3.163166, 3.124504, 3.090047, 3.056799, 3.033901,
  3.377424, 3.437958, 3.601125, 3.832931, 4.087285, 4.374538, 4.721684, 
    5.104575, 5.483067, 5.90215, 6.40921, 6.983797, 7.55317, 8.11939, 
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    8.107648, 7.526012, 6.896169, 6.307051, 5.744872, 5.189104, 4.647445, 
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    3.706542, 3.604957, 3.515129, 3.458408, 3.426447, 3.39589, 3.361891, 
    3.339288,
  3.697425, 3.767059, 3.948475, 4.203736, 4.483541, 4.797292, 5.174737, 
    5.588485, 5.994843, 6.444252, 6.992295, 7.623805, 8.259543, 8.89597, 
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    4.582565, 4.44587, 4.276119, 4.118102, 3.970911, 3.831397, 3.707748, 
    3.571968, 3.432683, 3.27798, 3.130738, 3.038252, 2.974863, 2.911472, 
    2.840591, 1.399976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2891866, 2.888257, 
    2.876559, 1.847119, 0.1407334, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.876204, 1.980972, 0.6059325, 0, 0, 0, 0, 0, 0.5858254, 1.936625, 
    1.900745, 3.494241, 3.616336, 3.552484, 3.493879, 3.440116, 3.391195,
  3.291627, 3.283789, 3.270647, 3.29862, 3.343823, 3.438037, 3.55232, 
    3.628677, 3.71241, 3.802178, 3.507784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.9629883, 1.511028, 2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 
    2.729, 2.729, 2.729, 2.729, 1.490872, 1.353303, 1.353303, 1.353303, 
    1.490772, 2.7268, 2.721, 1.771331, 1.352761, 1.710824, 2.568141, 2.51434, 
    2.468608, 2.429944, 2.395295, 2.365216, 2.339657, 2.322363, 2.325992, 
    2.348196, 2.391628, 2.09084, 1.304871, 0.39683, 0, 0, 0, 0, 0.2302676, 
    2.275791, 2.173496, 2.098177, 2.045225, 2.011148, 2.002416, 2.016112, 
    2.071678, 2.184379, 2.332551, 2.505593, 2.713212, 2.953185, 3.216502, 
    3.491731, 3.808921, 4.104252, 4.312247, 4.461777, 4.540184, 4.523267, 
    4.461688, 4.357397, 4.221088, 4.054861, 3.904118, 3.770152, 3.649414, 
    3.552002, 3.459683, 3.364911, 3.259816, 3.157994, 3.094299, 3.053705, 
    3.01341, 2.963769, 2.201905, 0.4409515, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2827643, 2.823161, 2.808982, 1.842677, 0.1430141, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.652349, 1.807764, 
    1.775703, 1.746465, 1.720201, 1.696912,
  3.365229, 3.390291, 3.431579, 3.508348, 3.593561, 3.723252, 3.662342, 
    1.905681, 1.9551, 2.002402, 3.782462, 2.192661, 2.212143, 0.6669889, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0.1376185, 1.376185, 2.052593, 2.729, 2.729, 
    2.323156, 1.376185, 2.323156, 2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 
    2.729, 2.729, 2.593668, 1.375076, 1.372151, 0.4111913, 0, 0.3934911, 
    1.301803, 2.168953, 2.517878, 2.48306, 2.447764, 2.413875, 2.379954, 
    2.350995, 2.33741, 2.334368, 2.344069, 1.649763, 0, 0, 0, 0, 0, 0, 
    0.1150267, 1.47011, 2.191846, 2.144481, 2.113152, 2.093956, 2.093072, 
    2.107618, 2.155617, 2.252698, 2.380547, 2.528713, 2.705553, 2.911517, 
    3.140638, 3.377829, 3.655522, 3.917867, 4.102271, 4.233098, 4.298995, 
    4.277549, 4.214639, 4.11147, 3.981226, 3.827745, 3.691664, 3.576918, 
    3.480254, 3.409492, 3.353954, 3.298051, 3.235936, 3.173281, 3.131889, 
    3.113596, 3.09605, 3.068654, 3.035285, 1.970411, 1.522301, 1.069463, 0, 
    0, 0, 0, 0, 0, 0.1417032, 1.413704, 1.402156, 0.419512, 0, 0, 0, 0, 0, 0, 
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    0.5106889,
  3.630426, 3.681091, 3.760968, 3.867195, 3.973847, 2.601472, 2.060955, 
    2.227542, 2.265549, 2.301128, 4.071653, 2.231385, 2.251211, 0.6787686, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6883535, 1.376707, 2.458542, 0.963695, 0, 
    0.963695, 1.511937, 2.729, 2.729, 2.729, 2.593771, 1.376707, 1.376707, 
    1.376707, 1.239036, 0, 0, 0, 0, 0, 0.6531044, 2.204725, 2.568231, 
    2.53786, 2.502754, 2.46696, 2.428223, 2.390905, 2.363857, 2.339981, 
    1.28845, 0.8196175, 0, 0, 0, 0, 0, 0, 0, 0.3370385, 1.114886, 1.880717, 
    2.202613, 2.193471, 2.200485, 2.216279, 2.247776, 2.32041, 2.422339, 
    2.542468, 2.686813, 2.855773, 3.046438, 3.240969, 1.957507, 1.921942, 
    2.008812, 2.070257, 2.100727, 2.089628, 2.058502, 3.277488, 3.717437, 
    3.585429, 3.472507, 3.383378, 3.313111, 3.267156, 3.23955, 3.214732, 
    3.187146, 3.157611, 3.138806, 3.13651, 3.13363, 3.124616, 3.107839, 
    3.094234, 3.096965, 2.643809, 1.56859, 0.4724354, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.078217,
  1.921816, 1.952198, 1.999486, 2.057272, 2.113846, 0.6428596, 0.2259446, 
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    0, 0, 0, 0, 1.101814, 0, 0.6758661, 1.351732, 1.489459, 2.729, 2.729, 
    2.729, 1.374714, 0, 0, 0, 0, 0, 0, 0, 0.1333901, 1.331969, 1.328897, 
    1.321854, 2.483285, 2.588774, 2.556257, 2.520252, 2.480399, 2.438359, 
    2.403775, 2.368851, 0.2360308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7973418, 
    2.192164, 2.308722, 2.319177, 2.331418, 2.344984, 2.38698, 2.455855, 
    2.543277, 2.64973, 2.7774, 2.927903, 3.082586, 0.312088, 0, 0, 0, 0, 0, 
    0, 1.29334, 3.267928, 3.328425, 3.243342, 3.182067, 3.137053, 3.113651, 
    3.108403, 3.107354, 3.106745, 3.104083, 3.106248, 3.115092, 3.122477, 
    3.127017, 3.124019, 3.12068, 3.126819, 3.140288, 3.160051, 0.9505767, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5688233,
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6889362, 1.377872, 1.512985, 2.729, 
    2.729, 2.729, 1.353802, 0, 0, 0, 0, 0, 0, 0, 0.1359696, 1.357727, 
    0.6765662, 0, 1.328771, 2.629884, 2.601066, 2.567695, 2.531265, 2.491134, 
    2.456716, 1.57388, 0.1202167, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.076094, 
    1.197169, 1.202167, 2.037873, 2.39733, 2.414816, 2.454171, 2.510694, 
    2.581629, 2.669735, 2.78274, 2.900311, 1.600405, 1.502579, 1.5358, 
    1.555505, 1.562436, 1.55501, 1.540998, 1.51659, 2.979974, 3.073466, 
    3.016578, 2.98175, 2.961725, 2.959573, 2.973389, 2.990366, 3.009389, 
    3.027601, 3.046824, 3.068506, 3.089046, 3.106135, 3.113336, 3.118443, 
    3.128567, 3.139867, 3.149796, 2.03484, 1.39529, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 1.847709, 2.640278, 2.642703, 2.645771, 4.487143, 5.003639, 
    2.632706, 1.308905, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1378526, 1.378526, 2.053763, 2.729, 2.591148, 1.350474, 1.350474, 
    0.4051421, 0, 0, 0, 0, 0, 0, 0, 0.9325147, 1.462961, 2.658481, 2.634104, 
    2.605526, 2.575393, 2.543095, 1.888456, 0.3744601, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.8486347, 2.28192, 2.40706, 2.426603, 2.45635, 
    2.495932, 2.550611, 2.631281, 2.713366, 2.809043, 2.896636, 2.944387, 
    2.974191, 2.987943, 2.979575, 2.96033, 2.92355, 2.883349, 2.838935, 
    2.810239, 2.801851, 2.806578, 2.827251, 2.859746, 2.894341, 2.931387, 
    2.96997, 3.008799, 3.048682, 3.088546, 3.122832, 3.142357, 3.158389, 
    3.179256, 3.19778, 3.212301, 3.221539, 3.064344, 1.645114, 0.8239424, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.131696, 1.422179, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 2.494071, 2.776982, 2.766052, 4.650492, 5.453214, 5.44194, 5.433549, 
    5.430405, 5.127953, 2.688778, 1.336783, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0.4049292, 2.039382, 2.729, 2.729, 2.729, 2.054118, 
    0.4137709, 0, 0, 0, 0, 0.1343334, 1.342592, 1.339872, 2.289527, 2.691089, 
    2.678361, 2.659381, 2.636201, 2.613506, 2.590061, 1.930383, 1.273249, 
    0.1270133, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.092674, 
    1.216043, 1.221299, 2.071385, 2.449543, 2.479125, 2.522351, 2.565577, 
    2.613653, 2.654849, 2.673699, 2.68588, 2.694483, 2.69501, 2.694704, 
    2.688361, 2.68329, 2.678484, 2.681098, 2.696734, 2.722734, 2.764738, 
    2.811742, 2.859807, 2.912053, 2.966704, 3.021806, 3.0783, 3.137287, 
    3.188722, 3.22131, 3.249698, 3.283743, 3.315282, 3.343072, 3.369801, 
    3.394489, 3.423666, 1.721384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.2311267, 2.295983, 2.235593, 2.169316, 2.093544, 2.000262, 
    1.924242, 3.004713, 3.221456, 1.188574, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  2.624326, 2.693531, 5.335186, 5.645346, 5.624136, 5.610037, 5.581361, 
    5.534628, 5.490864, 5.456159, 5.116553, 2.593333, 2.553886, 0.7614946, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.32284, 1.792243, 
    1.66298, 1.54029, 0.4466645, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6744949, 
    1.34899, 1.34899, 0.9442929, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.134899, 1.762993, 2.729, 2.729, 
    2.594101, 1.38001, 0.6900051, 0, 0, 0, 0, 0, 0.2717977, 2.716774, 
    2.711966, 2.706812, 2.700804, 2.692236, 2.678656, 2.661568, 2.648111, 
    2.634249, 1.968224, 1.301781, 0.1298595, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.8612295, 1.236649, 1.247723, 1.258899, 1.270075, 
    2.399988, 2.540977, 2.550131, 2.555769, 2.561989, 2.569484, 2.583483, 
    2.599236, 2.618939, 2.63982, 2.661847, 2.690173, 2.727946, 2.780923, 
    2.83425, 2.887577, 2.948831, 3.013074, 3.076826, 3.142333, 3.211089, 
    3.272147, 3.31292, 3.349839, 3.391758, 3.431677, 3.468289, 3.505941, 
    3.546924, 3.604784, 2.768127, 1.947014, 1.843257, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 2.593976, 2.766294, 2.667579, 2.587895, 2.774127, 4.85253, 
    4.735522, 4.605576, 4.455292, 4.276331, 4.135928, 3.999347, 3.830876, 
    3.125346, 1.815872, 1.739599, 1.650078, 1.558975, 1.499756, 1.435347, 
    1.370937, 1.358382, 0.6774608, 0, 0, 0, 0, 0.9442929, 1.214091, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  5.246261, 5.388336, 5.578283, 5.62157, 5.597219, 5.561423, 5.504331, 
    5.430673, 5.359205, 5.298954, 5.220473, 5.148536, 5.085236, 3.225159, 
    2.170069, 0, 0, 0, 0, 0, 0, 0, 0.247991, 2.482725, 2.493989, 2.50456, 
    2.514885, 2.524864, 2.523876, 2.45926, 2.317184, 2.167846, 2.033575, 
    3.26204, 3.611374, 3.345823, 3.095252, 1.866368, 1.351798, 1.348142, 
    1.348142, 1.348142, 1.348142, 1.348142, 1.348142, 1.348142, 1.348142, 
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    2.737121, 2.781224, 2.840522, 2.899231, 2.958287, 3.027095, 3.099457, 
    3.169582, 3.241106, 3.314942, 3.380877, 3.427486, 3.470594, 3.516134, 
    3.560069, 3.601896, 3.646514, 3.69702, 3.767366, 3.864722, 4.020261, 
    4.028465, 2.29688, 2.471018, 2.653108, 0.2697272, 0, 0, 0, 0, 0.9655345, 
    3.185844, 3.104827, 5.666419, 5.730619, 5.540009, 5.385478, 5.286154, 
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    4.285243, 4.044562, 3.838498, 3.666414, 3.472371, 3.272707, 3.125638, 
    2.961153, 2.789801, 2.748692, 2.045559, 1.348735, 1.348142, 1.348142, 
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    1.621772, 1.796699, 1.980618, 2.169131, 2.352357,
  5.019585, 5.160675, 3.303606, 5.407225, 5.386673, 5.342365, 5.282234, 
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    5.068273, 4.927204, 4.638765, 4.336959, 4.064665, 3.808144, 3.54062, 
    3.287211, 3.051045, 2.844305, 2.735906, 2.729, 2.729, 2.729, 2.729, 
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    2.700003, 2.729517, 2.761626, 2.801781, 2.854669, 2.922911, 2.989157, 
    3.056104, 3.132898, 3.211854, 3.287461, 3.364469, 3.44327, 3.513876, 
    3.567284, 3.616155, 3.66448, 3.711013, 3.754714, 3.802261, 3.856461, 
    3.931361, 4.03098, 4.178935, 4.408511, 4.717033, 5.060993, 5.420016, 
    3.167701, 3.081105, 3.214246, 3.305919, 3.33159, 4.284939, 6.504291, 
    6.354162, 6.178385, 5.964614, 5.791657, 5.649881, 5.555493, 5.495067, 
    5.39746, 5.283754, 5.148706, 5.003021, 4.901928, 4.810282, 4.631658, 
    4.364564, 4.129682, 3.918006, 2.197774, 3.434832, 3.223202, 2.994329, 
    2.755753, 2.691148, 2.678994, 2.673824, 2.683681, 2.698344, 2.711968, 
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    2.630456, 2.698944, 2.905996, 3.213343, 3.546906, 3.89867, 4.260326, 
    4.614886,
  4.708961, 4.843753, 2.928897, 5.09919, 5.093894, 5.058535, 5.011746, 
    4.952323, 4.889172, 4.830949, 4.761746, 4.698566, 4.651453, 4.614147, 
    4.578607, 4.560033, 4.571513, 4.602956, 4.655739, 4.714191, 4.764261, 
    4.809075, 4.854385, 4.8964, 4.929801, 4.956548, 4.946308, 4.923964, 
    4.884927, 4.743587, 4.473969, 4.191908, 3.936274, 3.693259, 3.439493, 
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    2.866821, 2.929159, 3.00714, 3.082376, 3.158311, 3.244297, 3.33173, 
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    5.24627, 5.158982, 5.073899, 4.884369, 4.594015, 4.330966, 2.674484, 
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    2.548741, 2.564156, 2.626154, 2.809758, 3.081128, 3.376068, 3.688861, 
    4.012599, 4.335453,
  4.43877, 4.56002, 4.734012, 4.797592, 4.798213, 4.766967, 4.722771, 
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    1.701017, 2.619365, 2.634064, 2.650563, 2.672846, 2.704329, 2.739657, 
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    3.887823, 3.951116, 4.006943, 4.054142, 4.094915, 4.129063, 4.158529, 
    4.206104, 4.274386, 4.382578, 4.569215, 4.864953, 5.199904, 5.5492, 
    5.930214, 6.293013, 6.538564, 6.70465, 6.753871, 6.699192, 6.611925, 
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    4.698585, 4.405303, 2.672152, 1.842917, 1.695567, 1.614974, 1.454466, 
    1.303542, 1.254299, 1.801255, 2.361996, 2.377513, 2.400939, 2.421063, 
    2.437007, 2.433092, 2.421431, 1.775857, 1.133144, 1.119196, 1.112789, 
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    2.51206, 2.567306, 2.73009, 2.970694, 3.232414, 3.511633, 3.801711, 
    4.095263,
  4.166267, 4.268595, 4.417717, 4.468921, 4.464478, 4.429579, 4.382321, 
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    2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 2.728848, 
    2.728492, 2.728492, 2.727985, 2.727325, 2.726716, 2.725751, 2.452496, 0, 
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    3.117276, 3.368222, 3.614203, 3.865337,
  3.855146, 3.941027, 4.066085, 4.101039, 4.086003, 4.051884, 4.014129, 
    3.996278, 3.96613, 3.93597, 3.907341, 3.876792, 3.855765, 3.840705, 
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    4.166448, 4.097182, 3.941964, 3.765552, 3.60184, 3.435042, 3.253377, 
    3.089048, 2.936336, 2.803234, 2.733452, 2.729, 2.729, 2.729, 2.729, 
    2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 1.789404, 1.38672, 1.38672, 
    1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 
    1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 
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    1.38672, 1.38672, 1.38672, 1.38672, 2.05786, 2.729, 2.729, 2.729, 2.729, 
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    2.326316, 1.38672, 1.38672, 1.248048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    3.078645, 3.18489, 3.288977, 3.395153, 3.514183, 3.6355, 3.749422, 
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    4.390917, 4.405742, 4.41008, 4.422552, 4.452407, 4.518341, 4.667113, 
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    5.99901, 5.956468, 5.924146, 5.855052, 5.780025, 5.686472, 5.541025, 
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    2.085031, 2.074473, 2.055027, 2.040826, 2.02978, 2.015873, 2.004282, 
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    1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 1.38672, 1.52085, 
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    3.016068, 3.222243, 3.410227, 3.608228,
  3.492026, 3.560098, 3.662864, 3.695778, 3.6865, 3.668146, 3.654346, 
    3.659756, 3.646765, 3.63413, 3.623313, 3.612329, 3.60817, 3.607879, 
    3.61085, 3.619838, 3.632198, 3.649126, 3.670966, 3.698677, 3.725505, 
    3.74952, 3.780962, 3.813197, 3.844266, 3.87708, 3.897503, 3.912962, 
    3.911406, 3.8559, 3.72782, 3.579714, 3.440468, 3.294911, 3.139919, 
    2.998744, 2.867383, 2.754579, 2.701369, 2.705371, 2.713034, 2.720698, 
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    1.340621, 1.340621, 1.340621, 1.340621, 1.340621, 1.340621, 1.340621, 
    1.340621, 1.340621, 1.340621, 1.340621, 1.340621, 1.340621, 1.340621, 
    1.340621, 0.1340621, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.3645, 
    2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 2.326814, 1.388379, 1.388379, 
    1.388379, 1.388379, 1.388379, 1.388379, 1.388379, 0.9718656, 0, 0, 0, 0, 
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    2.826033, 2.872514, 2.926289, 2.993721, 3.085402, 3.197459, 3.307228, 
    3.420141, 3.546095, 3.675002, 3.795816, 3.916974, 4.04542, 4.166513, 
    4.264861, 4.348152, 4.410092, 4.45938, 4.494361, 4.514642, 4.524753, 
    4.534956, 4.559283, 4.61791, 4.744306, 4.986016, 5.240361, 5.497923, 
    5.768563, 6.013815, 6.202454, 6.324899, 6.388292, 6.396682, 6.370841, 
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    5.880053, 5.792636, 5.684337, 5.523589, 5.360183, 5.185578, 4.891137, 
    4.49963, 4.142805, 3.796468, 3.411536, 3.028404, 2.70705, 2.399683, 
    1.13582, 0.972429, 0.9591652, 0.9572493, 1.071459, 2.052091, 2.075682, 
    2.087042, 1.281001, 2.063842, 2.043489, 2.022069, 1.999942, 1.993286, 
    1.973832, 1.959634, 1.948579, 1.934834, 1.922341, 1.922116, 1.922139, 
    1.922161, 1.922437, 1.937437, 1.974173, 2.021238, 1.529802, 1.015364, 
    1.031625, 1.03752, 1.040713, 1.049752, 0.9585757, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.729, 2.729, 1.479459, 1.340621, 1.340621, 1.340621, 1.340129, 1.339343, 
    1.33841, 1.337477, 1.473953, 2.719872, 2.716149, 2.71137, 2.704242, 
    2.696007, 2.684227, 2.669292, 2.64781, 2.619854, 2.589754, 2.55651, 
    2.520329, 2.485147, 2.456578, 2.433609, 2.415819, 2.407182, 2.415148, 
    2.450144, 2.552324, 2.70584, 2.861838, 3.011854, 3.145632, 3.297459,
  3.118251, 3.16914, 3.252085, 3.297938, 3.311062, 3.314717, 3.319973, 
    3.33299, 3.334665, 3.335654, 3.337295, 3.34141, 3.349306, 3.358972, 
    3.37168, 3.38767, 3.405712, 3.426223, 3.450395, 3.473319, 3.491297, 
    3.506487, 3.527087, 3.548201, 3.569014, 3.591584, 3.60091, 3.606332, 
    3.599043, 3.543401, 3.42972, 3.299304, 3.177089, 3.049274, 2.92084, 
    2.808105, 2.703881, 2.617856, 2.584073, 2.595593, 2.613842, 2.637242, 
    2.661034, 2.671213, 2.679945, 2.68902, 2.699665, 2.711831, 2.723849, 
    2.729, 1.616769, 2.729, 2.729, 1.791902, 1.390289, 1.791902, 2.729, 
    2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 2.729, 1.47774, 
    1.338711, 1.338711, 1.338711, 1.338711, 1.338711, 0.6693557, 0, 0, 0, 0, 
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    2.703209, 2.744786, 2.793495, 2.843297, 2.899472, 2.967918, 3.062238, 
    3.177572, 3.290104, 3.40545, 3.534491, 3.666087, 3.789331, 3.912931, 
    4.045021, 4.170353, 4.273274, 4.361152, 4.428317, 4.48313, 4.523897, 
    4.55065, 4.568598, 4.586655, 4.613293, 3.063754, 2.444952, 2.560393, 
    2.681235, 2.80172, 3.202371, 5.816046, 5.976779, 6.093041, 6.169786, 
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    2.588115, 2.279158, 2.007113, 1.918181, 1.891181, 1.887281, 1.905172, 
    1.941717, 1.97269, 1.989334, 1.159925, 1.978948, 1.965426, 1.952246, 
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    1.975624, 2.015736, 2.043096, 2.048915, 2.048597, 2.060521, 1.975778, 
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    1.224904, 1.226719, 1.365355, 2.615536, 2.616664, 2.620539, 2.624905, 
    2.628045, 2.630399, 2.632067, 2.63246, 2.633637, 2.634569, 2.635501, 
    2.636776, 2.637905, 2.638739, 2.639916, 2.64075, 2.641829, 2.642908, 
    2.645018, 2.645705, 2.64747, 2.650757, 2.654387, 2.657557, 2.66258, 
    2.668332, 2.673054, 2.674881, 2.676352, 2.675614, 2.672803, 2.667542, 
    2.661042, 2.650152, 2.635087, 2.612587, 2.585135, 2.555378, 2.521778, 
    2.484478, 2.448278, 2.417878, 2.392735, 2.373405, 2.363759, 2.368454, 
    2.392457, 2.453819, 2.553085, 2.659343, 2.763804, 2.864659, 2.975574,
  2.784815, 2.820673, 2.882348, 2.930167, 2.959133, 2.980043, 2.999997, 
    3.015666, 3.02862, 3.039489, 3.050417, 3.061566, 3.073639, 3.085727, 
    3.100384, 3.116101, 3.133425, 3.15215, 3.173387, 3.19293, 3.207324, 
    3.218561, 3.234551, 3.250194, 3.265243, 3.282036, 3.284689, 3.281979, 
    3.26751, 3.209941, 3.109757, 2.996974, 2.891804, 2.781376, 2.671887, 
    2.579323, 2.494758, 2.428051, 2.406293, 2.416252, 2.436419, 2.467087, 
    2.498701, 2.516877, 2.533501, 2.55014, 2.568363, 2.593016, 2.627164, 
    2.647655, 2.658625, 2.671211, 2.68321, 1.720794, 0.2632821, 1.747386, 
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    4.369184, 4.408503, 4.433493, 2.541431, 2.340275, 2.352827, 0.7076851, 0, 
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    5.863997, 5.862787, 5.848763, 5.825377, 5.798844, 5.769512, 5.733245, 
    5.686365, 5.615403, 5.536742, 5.438149, 5.287087, 5.132668, 4.961222, 
    4.651998, 4.269744, 3.92161, 3.572348, 3.184432, 2.798515, 2.475353, 
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    1.806013, 1.801935, 1.798003, 1.805285, 1.826846, 1.854182, 1.89079, 
    1.920728, 1.938406, 1.933545, 1.922374, 1.922432, 1.843848, 1.037928, 
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    2.463816, 2.464683, 2.465908, 2.465943, 2.467261, 2.468286, 2.471411, 
    2.472174, 2.477047, 2.486245, 2.496142, 2.506679, 2.523525, 2.541927, 
    2.558571, 2.572801, 2.586784, 2.594751, 2.598532, 2.599862, 2.599099, 
    2.592749, 2.580457, 2.559377, 2.533351, 2.504881, 2.471869, 2.435205, 
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    2.364142, 2.418064, 2.480173, 2.54401, 2.61648, 2.689804,
  2.493407, 2.515248, 2.554995, 2.591086, 2.621603, 2.648525, 2.675334, 
    2.698219, 2.717092, 2.733165, 2.748985, 2.764102, 2.777746, 2.790691, 
    2.804453, 2.818131, 2.833058, 2.849043, 2.866048, 2.880906, 2.890516, 
    2.897325, 2.908735, 2.9194, 2.929751, 2.941519, 2.938342, 2.927818, 
    2.906288, 2.848605, 2.76488, 2.672178, 2.585791, 2.494504, 2.406281, 
    2.336015, 2.273747, 2.22898, 2.221728, 2.230494, 2.248866, 2.279106, 
    2.310837, 2.328959, 2.345287, 2.360574, 2.37444, 2.398403, 2.440355, 
    2.468664, 2.487105, 2.509383, 2.531879, 2.555075, 1.482698, 2.609913, 
    2.624157, 2.623718, 2.623571, 2.624891, 2.624402, 1.64698, 1.22634, 
    1.223358, 1.219252, 1.215147, 1.211627, 0.8461206, 0, 0, 0, 0, 0, 0, 0, 
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    3.386323, 3.49625, 3.605477, 3.723066, 3.837, 3.93664, 4.019854, 
    4.077704, 4.122716, 4.154266, 2.795684, 0.2208487, 0, 0, 0, 0, 0, 0, 0, 
    0.4978854, 5.010827, 5.131966, 5.233131, 5.317602, 5.371413, 5.381413, 
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    5.144047, 5.085603, 5.010714, 4.903142, 4.790559, 4.655219, 4.382982, 
    4.042827, 3.727651, 3.400856, 3.04045, 2.681263, 2.368934, 2.074106, 
    1.8055, 1.702644, 1.665586, 1.656623, 1.67068, 1.708904, 1.745114, 
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    1.781347, 1.775608, 1.768756, 1.760004, 1.750221, 1.749538, 1.748786, 
    1.747887, 1.744895, 1.748982, 1.764892, 1.784717, 1.811909, 1.833501, 
    1.843977, 1.57196, 0.9541991, 0.9514896, 0.8588048, 0, 0, 0.6144895, 
    0.8954381, 0.9202191, 0.9479816, 1.763744, 2.149848, 2.184479, 2.202487, 
    2.217695, 2.22423, 2.228771, 2.238495, 2.253509, 2.268964, 2.279945, 
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    2.294975, 2.29522, 2.295464, 2.293178, 2.291916, 2.290787, 2.292101, 
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    2.412496, 2.435824, 2.458508, 2.473639, 2.483527, 2.491504, 2.496788, 
    2.494403, 2.485718, 2.468415, 2.44523, 2.419246, 2.388361, 2.354169, 
    2.320149, 2.291878, 2.267807, 2.249089, 2.239477, 2.239089, 2.248189, 
    2.267997, 2.294054, 2.325394, 2.358508, 2.397742, 2.43861,
  2.24787, 2.258833, 2.27919, 2.299519, 2.318283, 2.337746, 2.357806, 
    2.376677, 2.392827, 2.407542, 2.422646, 2.436905, 2.449293, 2.460982, 
    2.472816, 2.484387, 2.496673, 2.509318, 2.520941, 2.529971, 2.533946, 
    2.53512, 2.541089, 2.545522, 2.550499, 2.556517, 2.547432, 2.531921, 
    2.505953, 2.456677, 2.39605, 2.328114, 2.265046, 2.197078, 2.135078, 
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    2.123151, 2.142063, 2.159119, 2.174093, 2.185486, 2.20757, 2.246243, 
    2.270234, 2.281608, 2.298455, 2.317929, 2.338444, 2.364995, 2.394819, 
    2.40966, 2.408419, 2.40846, 2.411794, 2.410892, 2.407924, 2.401624, 
    2.392306, 2.380152, 2.367314, 2.356506, 1.965551, 1.066684, 1.051031, 
    1.032063, 1.010656, 0.9750104, 0.93049, 0.8701706, 0.8034145, 0.3866883, 
    0, 0, 0, 0, 0, 0, 0, 0.6919596, 1.393962, 1.398266, 1.393808, 1.375721, 
    1.355124, 1.310547, 0.88661, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.9853444, 1.445901, 2.206519, 2.287647, 2.363639, 2.419549, 2.476689, 
    2.540163, 2.621518, 2.711781, 2.802584, 2.898988, 3.008126, 3.120157, 
    3.226175, 3.331834, 3.445635, 3.556718, 3.653348, 3.732136, 3.781584, 
    3.816754, 3.838732, 2.402161, 1.774231, 1.759163, 1.741804, 1.724103, 
    1.722104, 1.786568, 1.853714, 1.917789, 2.232663, 4.499558, 4.614805, 
    4.7132, 4.799041, 4.85473, 4.858231, 4.849114, 4.830917, 4.806156, 
    4.778756, 4.747497, 4.709043, 4.665243, 4.614243, 4.555543, 4.482492, 
    4.396977, 4.306718, 4.19406, 3.964448, 3.670803, 3.393135, 3.106725, 
    2.795226, 2.487931, 2.210892, 1.951694, 1.717013, 1.620809, 1.582394, 
    1.563684, 1.563172, 1.589042, 1.614976, 1.637682, 1.64773, 1.651377, 
    1.64805, 1.645065, 1.64368, 1.649385, 1.6471, 1.644815, 1.641932, 
    1.638076, 1.636757, 1.644197, 1.652534, 1.660718, 1.664055, 1.670551, 
    1.687214, 1.706637, 1.729783, 1.74494, 1.002604, 0.6394926, 0, 0.5577478, 
    0.7928817, 0.7930279, 0.7970265, 1.454055, 1.767584, 1.814822, 1.869526, 
    1.924911, 1.976028, 2.009878, 2.030566, 2.049137, 2.056638, 2.062326, 
    2.071715, 2.084944, 2.099121, 2.110232, 2.116215, 2.118356, 2.118154, 
    2.117715, 2.117715, 2.117715, 2.117715, 2.117715, 2.118215, 2.119056, 
    2.115327, 2.111206, 2.108521, 2.108294, 2.109765, 2.113692, 2.125107, 
    2.136881, 2.151447, 2.178568, 2.208338, 2.23775, 2.265764, 2.292732, 
    2.312446, 2.32656, 2.339177, 2.349037, 2.348822, 2.342308, 2.328042, 
    2.307076, 2.283504, 2.254692, 2.223026, 2.192169, 2.166624, 2.144938, 
    2.127819, 2.119353, 2.118306, 2.123936, 2.136544, 2.151885, 2.167603, 
    2.183681, 2.202423, 2.221606,
  2.025434, 2.029351, 2.036678, 2.044716, 2.052388, 2.060081, 2.068229, 
    2.076635, 2.083724, 2.090473, 2.097246, 2.103309, 2.108857, 2.114047, 
    2.119925, 2.126638, 2.133596, 2.140896, 2.146141, 2.148243, 2.146712, 
    2.143061, 2.143779, 2.14225, 2.14196, 2.143409, 2.130248, 2.112613, 
    2.090661, 2.061157, 2.02738, 1.987091, 1.949687, 1.907724, 1.873692, 
    1.85805, 1.8467, 1.843962, 1.849125, 1.85603, 1.87309, 1.902749, 
    1.933903, 1.952158, 1.968617, 1.984319, 1.996642, 2.020308, 2.060099, 
    2.084489, 2.094345, 2.110801, 2.131635, 2.153188, 2.179543, 2.210102, 
    2.224621, 2.222681, 2.223032, 2.227907, 2.226864, 2.222321, 2.212997, 
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    2.184799, 2.238306, 2.296032, 2.367975, 2.44847, 2.530302, 2.618074, 
    2.718761, 2.823425, 2.923027, 3.023309, 3.131898, 3.239167, 3.33306, 
    3.408071, 3.44929, 3.474482, 3.486514, 3.477244, 3.446343, 3.40499, 
    3.357332, 3.30591, 3.285959, 3.411935, 3.544287, 3.670338, 3.814211, 
    3.949748, 4.061443, 4.1598, 4.249705, 4.309801, 4.308186, 4.295352, 
    4.275545, 4.25071, 4.223554, 4.192896, 4.154596, 4.110651, 4.059553, 
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    2.965102, 2.721634, 2.459829, 2.207925, 1.986751, 1.785138, 1.609854, 
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    1.039406, 1.106515, 1.169372, 1.233627, 1.303872, 1.369263, 1.424854, 
    1.483942, 1.552177, 1.62496, 1.687543, 1.736477, 0.8891982, 0, 0, 0, 0, 
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    0.6993159, 0.9600719, 0.9050701, 0.8552684, 0.8054675, 0.7325168, 
    0.6549165, 0.5905133, 0.5345101, 0.4859567, 0.4535541, 0.4380027, 
    0.4319027, 0.432304, 0.4376559, 0.4450087, 0.4541118, 0.466116, 
    0.4799703, 0.4945247, 0.5104809, 0.5314413, 0.5574022, 0.5800607, 
    0.6023687, 0.6369273, 0.6890854, 0.7640948, 0.8531059, 0.9526163, 
    1.052722, 1.149625, 1.259127, 1.391329, 1.52978, 1.660631, 1.782028, 
    1.904378, 1.996882, 2.06863, 2.147729, 0.216813, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.026183, 0.9496256, 0.9013197, 0.8446167, 0.778464, 0.7186617, 
    0.6703097, 0.6314073, 0.6011053, 0.5809032, 0.569552, 0.5610009, 
    0.5547001, 0.5510998, 0.5500494, 0.5500494, 0.5500494, 0.5500494, 
    0.5500494, 0.5500494, 0.5500494, 0.5500494, 0.5500494, 0.5500494, 
    0.5500494, 0.5497494, 0.5480494, 0.5452989, 0.5404974, 0.5343961, 
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    0.9470826, 0.5219201, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1064418, 
    1.061414, 1.048397, 0.3127166, 0, 0, 0, 1.435686, 2.054026, 2.057924, 
    2.058723, 2.055672, 2.04157, 2.014421, 1.984223, 1.952275, 1.916879, 
    1.884385, 1.851491, 1.816499, 1.778157, 1.742367, 1.710025, 1.670331, 
    1.616739, 1.550598, 1.482557, 1.416265, 1.349523, 1.289681, 1.237836, 
    1.18634, 1.131693, 1.078593,
  1.155095, 1.122893, 1.057539, 0.9832829, 0.9078266, 0.8334199, 0.7616638, 
    0.6999583, 0.6525538, 0.6128502, 0.5775964, 0.5510929, 0.5330394, 
    0.5195364, 0.507383, 0.4937289, 0.4800244, 0.4649199, 0.4496656, 
    0.4368111, 0.4265081, 0.4176051, 0.4106031, 0.4056015, 0.4027503, 0.4013, 
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    0.401, 0.401, 0.401, 0.4011502, 0.4020006, 0.4028511, 0.4049525, 
    0.4072537, 0.4100056, 0.4134576, 0.4171601, 0.4220631, 0.426015, 
    0.4296174, 0.4326195, 0.4370234, 0.4432791, 0.4505852, 0.4612413, 
    0.474997, 0.4898016, 0.5070549, 0.5289082, 0.555362, 0.5810638, 
    0.6081638, 0.6368639, 0.6624638, 0.6850638, 0.7115151, 0.7453176, 
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    1.207461, 1.28867, 1.362628, 1.435534, 1.500581, 1.553424, 1.596618, 
    1.640159, 1.686446, 1.732579, 1.313242, 0.8774508, 0.08823945, 0, 0, 0, 
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    0.7227644, 0.9920194, 0.9340174, 0.8810151, 0.8297639, 0.7561138, 
    0.6778632, 0.6087603, 0.5484079, 0.4960063, 0.460605, 0.444005, 
    0.4386059, 0.4418582, 0.4513616, 0.463515, 0.4781189, 0.4966732, 
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    0.717029, 0.7633857, 0.826642, 0.913348, 1.016505, 1.128711, 1.235915, 
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    2.192321, 2.260368, 2.337867, 0.2358116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.312783, 0.7869834, 0.7781724, 0.0775469, 0, 0.6507935, 1.251187, 
    1.156385, 1.07028, 1.012824, 0.9522222, 0.8829707, 0.8199189, 0.7685669, 
    0.7266654, 0.6931633, 0.670312, 0.6568103, 0.6468096, 0.6392588, 
    0.6349581, 0.6335582, 0.6335582, 0.6335582, 0.6335582, 0.6335582, 
    0.6335582, 0.6335582, 0.6335582, 0.6335582, 0.6335582, 0.6335582, 
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    0.4997235, 0.5108219, 0.5270203, 0.5467691, 0.5710692, 0.6028195, 
    0.6399708, 0.6802716, 0.7268724, 0.7841743, 0.851026, 0.9190276, 
    0.9954299, 1.032755, 0.4226281, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.066367, 
    2.119299, 2.094, 0.6246, 0, 0, 0.5053815, 1.719668, 2.021281, 2.021179, 
    2.019226, 2.013774, 1.996922, 1.971324, 1.944976, 1.916879, 1.888434, 
    1.864639, 1.841496, 1.818354, 1.793813, 1.772872, 1.751529, 1.722486, 
    1.681844, 1.630054, 1.575563, 1.521771, 1.467929, 1.419587, 1.376342, 
    1.330996, 1.279498, 1.226298,
  1.313596, 1.278595, 1.205941, 1.122535, 1.03783, 0.9534751, 0.8721696, 
    0.8016645, 0.7473105, 0.7013566, 0.6600531, 0.627249, 0.6037959, 
    0.5852428, 0.5672892, 0.5464346, 0.5252801, 0.5020248, 0.4786693, 
    0.4583147, 0.4422608, 0.4283077, 0.4171547, 0.4090025, 0.4042515, 
    0.4019507, 0.4010501, 0.401, 0.401, 0.401, 0.401, 0.401, 0.401, 0.401, 
    0.401, 0.401, 0.401, 0.401, 0.4014505, 0.4019508, 0.4037515, 0.4059026, 
    0.4104542, 0.4155062, 0.4217585, 0.4290612, 0.4381151, 0.4482684, 
    0.4565216, 0.4647748, 0.4741803, 0.4864359, 0.5020415, 0.5183463, 
    0.5382014, 0.560456, 0.5823099, 0.6055638, 0.6329172, 0.6642693, 
    0.6923205, 0.7203715, 0.7498725, 0.7761233, 0.799324, 0.8274246, 
    0.8639255, 0.9060769, 0.9493286, 0.9971307, 1.056435, 1.128389, 1.206846, 
    1.294753, 1.392513, 1.489472, 1.57613, 1.654731, 1.713977, 1.757673, 
    1.791368, 1.82156, 1.847549, 1.575393, 0.4532195, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7434107, 
    1.018863, 0.9556591, 0.8980059, 0.8438534, 0.7687519, 0.6905525, 
    0.6190023, 0.5558513, 0.5015506, 0.4657013, 0.4515041, 0.4495573, 
    0.4589623, 0.476018, 0.4947725, 0.516327, 0.5417309, 0.5703852, 
    0.6020404, 0.641398, 0.6945074, 0.753767, 0.8043251, 0.850332, 0.9069378, 
    0.9802436, 1.075598, 1.188102, 1.308957, 1.421309, 1.52436, 1.636159, 
    1.769758, 1.908757, 2.038856, 2.155655, 2.277804, 2.372798, 2.435094, 
    2.50824, 1.324811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.8157718, 0, 0.7202907, 1.391583, 1.296134, 1.204382, 1.138828, 
    1.075377, 1.004426, 0.9386744, 0.884573, 0.8402717, 0.8037201, 0.7782182, 
    0.7625672, 0.7511162, 0.7423155, 0.7373153, 0.7355649, 0.7355649, 
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    0.7199132, 0.7098622, 0.6980608, 0.683809, 0.6659072, 0.6456046, 
    0.6260514, 0.6075486, 0.5896962, 0.5743933, 0.5622912, 0.5519387, 
    0.5442862, 0.5408834, 0.5410316, 0.5443302, 0.5523781, 0.5659266, 
    0.5837755, 0.6075748, 0.6398751, 0.6782753, 0.7195258, 0.7670761, 
    0.8270774, 0.894927, 0.9622749, 1.040825, 1.138576, 1.061454, 0.3363928, 
    0, 0.08650102, 0.6055071, 0, 0, 0, 0, 0, 0.7442692, 2.022472, 2.116247, 
    2.092248, 0.6241495, 0, 0, 1.006496, 2.00494, 1.994937, 1.990634, 
    1.984482, 1.975179, 1.955828, 1.932279, 1.90923, 1.886534, 1.865939, 
    1.851044, 1.83825, 1.827908, 1.818767, 1.811925, 1.801281, 1.784689, 
    1.757997, 1.721657, 1.681565, 1.641473, 1.600831, 1.563838, 1.529092, 
    1.490146, 1.441898, 1.389199,
  1.477088, 1.439287, 1.360334, 1.26923, 1.177077, 1.084923, 0.9952692, 
    0.9176662, 0.8575636, 0.805861, 0.7585577, 0.7197551, 0.6903014, 
    0.6660981, 0.6407936, 0.6119891, 0.5825343, 0.549929, 0.5167234, 
    0.4873679, 0.4640136, 0.4441601, 0.4273067, 0.4152544, 0.4077525, 
    0.4037513, 0.4016005, 0.401, 0.401, 0.401, 0.401, 0.401, 0.401, 0.401, 
    0.401, 0.401, 0.401, 0.4013504, 0.4024506, 0.4037513, 0.4072524, 
    0.4121544, 0.4200566, 0.4295595, 0.4405125, 0.4532159, 0.4695201, 
    0.4862742, 0.5010283, 0.5164831, 0.5351381, 0.556693, 0.5810473, 
    0.6054016, 0.633606, 0.6631096, 0.6913128, 0.7202153, 0.7522673, 
    0.7865185, 0.8173205, 0.847772, 0.8798239, 0.9080755, 0.9328264, 
    0.9621271, 0.9999778, 1.044179, 1.09008, 1.140881, 1.205533, 1.284987, 
    1.373092, 1.473799, 1.587557, 1.700916, 1.801374, 1.882225, 1.935973, 
    1.974322, 2.00212, 2.022216, 2.030607, 1.418969, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7591572, 
    1.035756, 0.9646514, 0.9014984, 0.8439469, 0.7665458, 0.6894965, 
    0.619248, 0.5559989, 0.5022501, 0.4699034, 0.4610065, 0.4661112, 
    0.4846665, 0.5126231, 0.5400283, 0.5695328, 0.6026875, 0.638992, 
    0.6795468, 0.7309527, 0.799561, 0.8747193, 0.9385762, 0.9961323, 
    1.063288, 1.145042, 1.247345, 1.366449, 1.49235, 1.607451, 1.7101, 
    1.819748, 1.949795, 2.085493, 2.21259, 2.325688, 2.446787, 2.532132, 
    2.587579, 2.654225, 2.462065, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.4169531, 1.401711, 1.681504, 1.720555, 1.723307, 
    1.713109, 1.528308, 0, 0.7910392, 1.53623, 1.444784, 1.351384, 1.280081, 
    1.21403, 1.142329, 1.074579, 1.018077, 0.9717263, 0.9327251, 0.904624, 
    0.8868226, 0.8735716, 0.8638213, 0.8581707, 0.8560708, 0.8560707, 
    0.8560707, 0.8560707, 0.8560708, 0.8560707, 0.8560707, 0.8560707, 
    0.8560708, 0.8560707, 0.8560707, 0.8554707, 0.8523204, 0.8467198, 
    0.837419, 0.8252676, 0.8110663, 0.7940651, 0.7724126, 0.7477603, 
    0.7230576, 0.699755, 0.6767518, 0.6566992, 0.6400462, 0.6251436, 
    0.6126907, 0.6038374, 0.6002851, 0.6005831, 0.6054316, 0.6157295, 
    0.6302769, 0.6532267, 0.6853762, 0.7240763, 0.7665272, 0.8159789, 
    0.8785805, 0.9481328, 1.016286, 1.096337, 1.194337, 1.309484, 1.057919, 
    0.7741913, 0.9248674, 1.497863, 0.4599999, 0, 0, 0, 0, 1.485398, 
    2.124698, 2.111748, 2.088248, 0.6230994, 0, 0.3016779, 1.502042, 
    1.986589, 1.971537, 1.963735, 1.953984, 1.941433, 1.921483, 1.900034, 
    1.881238, 1.864891, 1.852446, 1.846601, 1.844507, 1.846613, 1.85207, 
    1.857326, 1.857532, 1.853188, 1.840546, 1.819254, 1.793562, 1.767169, 
    1.739225, 1.712931, 1.685835, 1.652437, 1.608139, 1.556039,
  1.634577, 1.594676, 1.511775, 1.416024, 1.318822, 1.22162, 1.126818, 
    1.044616, 0.980565, 0.9252638, 0.8730618, 0.828909, 0.7938067, 0.7636036, 
    0.7302998, 0.6927451, 0.6540403, 0.6114851, 0.5672793, 0.5277741, 
    0.4965201, 0.4701669, 0.4474141, 0.4310118, 0.4205106, 0.4145597, 
    0.4116096, 0.4105096, 0.4105096, 0.4105096, 0.4105096, 0.4105096, 
    0.4105096, 0.4105096, 0.4105096, 0.4105096, 0.4105096, 0.4112096, 
    0.4121592, 0.4150603, 0.4205111, 0.4284123, 0.4401641, 0.4549167, 
    0.4715196, 0.4905729, 0.5145767, 0.5395813, 0.5620353, 0.5855389, 
    0.6130933, 0.6431472, 0.6750509, 0.7066041, 0.7420073, 0.77746, 
    0.8108122, 0.843814, 0.879666, 0.9169179, 0.9513198, 0.9850216, 1.020824, 
    1.052676, 1.079577, 1.110328, 1.149479, 1.195129, 1.24258, 1.295631, 
    1.363682, 1.448784, 1.544838, 1.656643, 1.7855, 1.913707, 2.023609, 
    2.104108, 2.155857, 2.192007, 2.217857, 2.232154, 2.111633, 0.7402036, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3825143, 0.9831414, 0.9595937, 0.8922421, 0.8318907, 
    0.75279, 0.6772408, 0.6109934, 0.5517467, 0.5029505, 0.4780551, 
    0.4762593, 0.4902139, 0.5198202, 0.5604768, 0.598783, 0.6374381, 
    0.6795928, 0.7240969, 0.7733011, 0.8351061, 0.917112, 1.006368, 1.082324, 
    1.150579, 1.227584, 1.316537, 1.42459, 1.548392, 1.676293, 1.791492, 
    1.89109, 1.994535, 2.116379, 2.244824, 2.36532, 2.472166, 2.58591, 
    2.660804, 2.708299, 2.767345, 2.707937, 1.041248, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8635308, 1.74666, 1.786756, 
    1.824554, 1.831055, 1.824607, 1.729399, 0.9304864, 1.324501, 1.685977, 
    1.601931, 1.510283, 1.435582, 1.367531, 1.295731, 1.226781, 1.16883, 
    1.120679, 1.079728, 1.049527, 1.029577, 1.014876, 1.003825, 0.9971746, 
    0.9950746, 0.9950746, 0.9950746, 0.9950746, 0.9950746, 0.9950746, 
    0.9950746, 0.9950746, 0.9950746, 0.9950746, 0.9950746, 0.9944745, 
    0.9908243, 0.9840236, 0.9733731, 0.9591722, 0.942571, 0.9228195, 
    0.8973178, 0.8675649, 0.8378122, 0.8094595, 0.7807568, 0.7548533, 
    0.7328006, 0.7124976, 0.6922424, 0.6753874, 0.6647825, 0.6587279, 
    0.6574231, 0.6623197, 0.6745197, 0.6972197, 0.7301209, 0.7724745, 
    0.8187774, 0.8724301, 0.9396333, 1.014487, 1.086788, 1.167838, 1.264587, 
    1.374834, 1.473781, 1.573077, 1.692868, 1.798964, 0.9245055, 0, 0, 0, 0, 
    0.7412525, 2.014892, 2.108899, 2.0865, 1.344176, 0.2040554, 1.307609, 
    1.991492, 1.96629, 1.947188, 1.936987, 1.924485, 1.911286, 1.894038, 
    1.877041, 1.864244, 1.854598, 1.850052, 1.853506, 1.861761, 1.875267, 
    1.891971, 1.907376, 1.918031, 1.924486, 1.925043, 1.917399, 1.904305, 
    1.88981, 1.873115, 1.85637, 1.836073, 1.807025, 1.766376, 1.715027,
  1.782066, 1.741816, 1.657766, 1.560566, 1.461566, 1.362566, 1.265816, 
    1.181666, 1.116066, 1.058865, 1.003514, 0.9555132, 0.9168119, 0.883712, 
    0.8478631, 0.8080153, 0.7660668, 0.7202685, 0.6714696, 0.6285712, 
    0.5948226, 0.5666739, 0.5414742, 0.5226241, 0.5100732, 0.5017219, 
    0.4972706, 0.4960705, 0.4960705, 0.4957201, 0.4914162, 0.4842595, 
    0.4773031, 0.4710473, 0.466343, 0.4710473, 0.4773031, 0.4839086, 
    0.4831573, 0.4870573, 0.4945584, 0.5052099, 0.5206615, 0.5364602, 
    0.5473022, 0.5609441, 0.5805365, 0.6118883, 0.641291, 0.6720945, 
    0.7075978, 0.7453012, 0.7835538, 0.8211064, 0.8624589, 0.902861, 
    0.9400626, 0.9769145, 1.016616, 1.057318, 1.095319, 1.132621, 1.172373, 
    1.208274, 1.237576, 1.270026, 1.310027, 1.356777, 1.405077, 1.459678, 
    1.530229, 1.618981, 1.721082, 1.841386, 1.982491, 2.121294, 2.230842, 
    2.308541, 2.360291, 2.396942, 2.424093, 2.436193, 1.173246, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.5099654, 0.9456429, 0.8762423, 0.8134915, 0.7344422, 
    0.6617941, 0.6009967, 0.5489504, 0.5089551, 0.4933094, 0.5005139, 
    0.5241687, 0.5663747, 0.6207812, 0.6715371, 0.720542, 0.7720464, 
    0.8250505, 0.8828045, 0.9542089, 1.047163, 1.148068, 1.234072, 1.310976, 
    1.395529, 1.491031, 1.604083, 1.730434, 1.859485, 1.971933, 2.065579, 
    2.158524, 2.266916, 2.382459, 2.492303, 2.589197, 2.68814, 2.750383, 
    2.788029, 2.838274, 2.917672, 2.097216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9270306, 1.869809, 1.902656, 1.935103, 
    1.943553, 1.940105, 1.938807, 1.925061, 1.891816, 1.838971, 1.765627, 
    1.679581, 1.60333, 1.53408, 1.463631, 1.394632, 1.336081, 1.286981, 
    1.24423, 1.21223, 1.190829, 1.174678, 1.162378, 1.155028, 1.152577, 
    1.152577, 1.152577, 1.152577, 1.152577, 1.152577, 1.152577, 1.152577, 
    1.152577, 1.152577, 1.152577, 1.151827, 1.147577, 1.139827, 1.127826, 
    1.111575, 1.092574, 1.069722, 1.04062, 1.005218, 0.9698152, 0.9358124, 
    0.9007089, 0.8678557, 0.8398026, 0.8120986, 0.7808431, 0.7543887, 
    0.7362864, 0.720982, 0.7099274, 0.7076239, 0.7207748, 0.7444257, 
    0.7817787, 0.8309818, 0.8817831, 0.9395845, 1.012087, 1.091538, 1.165288, 
    1.244636, 1.337884, 1.44153, 1.533277, 1.622922, 1.726265, 1.823711, 
    0.9342539, 0, 0, 0, 0.5264879, 1.055778, 2.011697, 2.107499, 2.087, 
    2.0644, 0.4073496, 2.006996, 1.976994, 1.946641, 1.92429, 1.91254, 
    1.89899, 1.887191, 1.875093, 1.864396, 1.857499, 1.854452, 1.858056, 
    1.87041, 1.888264, 1.910667, 1.935971, 1.960125, 1.980029, 1.996433, 
    2.008088, 2.012093, 2.009547, 2.004901, 1.997505, 1.988508, 1.974061, 
    1.949113, 1.911364, 1.862165,
  1.918555, 1.879356, 1.797258, 1.702009, 1.604811, 1.507262, 1.411813, 
    1.328815, 1.263815, 1.206516, 1.150016, 1.100716, 1.061566, 1.029767, 
    0.9968686, 0.9604194, 0.921821, 0.879022, 0.8329733, 0.792524, 0.760324, 
    0.7326732, 0.7069224, 0.6868215, 0.672821, 0.6619702, 0.6544688, 
    0.6525683, 0.6525683, 0.6522186, 0.6427678, 0.6273169, 0.612316, 
    0.5994156, 0.5938188, 0.6094241, 0.6270785, 0.6454334, 0.6494887, 
    0.6532885, 0.659086, 0.6680334, 0.6803291, 0.6864221, 0.6805654, 
    0.6775085, 0.6805013, 0.7071959, 0.7395458, 0.7764478, 0.8186004, 
    0.8626527, 0.906305, 0.9492571, 0.9959093, 1.040761, 1.081813, 1.122514, 
    1.165666, 1.210068, 1.251069, 1.292421, 1.336373, 1.375874, 1.407075, 
    1.440375, 1.480925, 1.527274, 1.575824, 1.630323, 1.701323, 1.791923, 
    1.897074, 2.023576, 2.173579, 2.318931, 2.42383, 2.50038, 2.554382, 
    2.595434, 2.628338, 2.644792, 0.2646593, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09474928, 
    0.9294928, 0.8594928, 0.7961431, 0.7195945, 0.6521473, 0.5982506, 
    0.5548546, 0.5254093, 0.5202141, 0.5370182, 0.5713229, 0.6269289, 
    0.6955849, 0.7600412, 0.8220477, 0.8840025, 0.9460064, 1.01231, 1.092614, 
    1.195067, 1.30452, 1.398073, 1.480425, 1.568475, 1.666775, 1.782325, 
    1.910125, 2.038725, 2.146622, 2.231568, 2.311612, 2.402454, 2.500546, 
    2.595539, 2.677932, 2.759874, 2.807718, 2.833762, 2.875209, 2.949407, 
    2.118554, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.988274, 1.987746, 2.014093, 2.041742, 2.049791, 2.047692, 2.051844, 
    2.044846, 2.0218, 1.982657, 1.923363, 1.847268, 1.773821, 1.706323, 
    1.638674, 1.572276, 1.514577, 1.466328, 1.423679, 1.391079, 1.369079, 
    1.351979, 1.339329, 1.331529, 1.329079, 1.329079, 1.329079, 1.329079, 
    1.329079, 1.329079, 1.329079, 1.329079, 1.329079, 1.329079, 1.329079, 
    1.328179, 1.323329, 1.314628, 1.300827, 1.282477, 1.260825, 1.234974, 
    1.201572, 1.16072, 1.119317, 1.078964, 1.036211, 0.9949569, 0.9575517, 
    0.9211981, 0.8828471, 0.8509464, 0.829796, 0.8103965, 0.7954475, 
    0.7905985, 0.8068002, 0.8349032, 0.8746525, 0.9229489, 0.9702947, 
    1.027443, 1.09899, 1.176387, 1.248286, 1.324034, 1.412132, 1.507428, 
    1.591275, 1.671621, 1.759965, 1.845058, 1.428665, 0.9856853, 1.009956, 
    1.029372, 1.57069, 2.107448, 2.113949, 2.105449, 2.085999, 2.062699, 
    0.3061645, 1.297102, 1.965746, 1.932396, 1.907895, 1.895845, 1.414599, 
    1.59366, 1.8681, 1.862602, 1.861004, 1.864657, 1.87611, 1.897013, 
    1.922516, 1.951168, 1.98307, 2.014924, 2.042276, 2.066829, 2.087583, 
    2.100986, 2.10754, 2.110593, 2.110395, 2.107198, 2.097549, 2.076701, 
    2.042352, 1.996254,
  2.043546, 2.006097, 1.928749, 1.838851, 1.747054, 1.654557, 1.563759, 
    1.484711, 1.422813, 1.367915, 1.312966, 1.264667, 1.227818, 1.198669, 
    1.16877, 1.134521, 1.098321, 1.057222, 1.013222, 0.9723713, 0.9393206, 
    0.9094196, 0.8809181, 0.8582169, 0.8418157, 0.8285645, 0.8185639, 
    0.8155635, 0.8155634, 0.8155634, 0.8047631, 0.7873625, 0.7705619, 
    0.7590133, 0.7619669, 0.789121, 0.8175754, 0.8474298, 0.8633842, 
    0.8702366, 0.871085, 0.8736827, 0.8745276, 0.8645216, 0.8430658, 
    0.8251105, 0.812605, 0.8267004, 0.8570488, 0.8986006, 0.9466028, 
    0.9963551, 1.045057, 1.093059, 1.144811, 1.193662, 1.237813, 1.280913, 
    1.326214, 1.373014, 1.416065, 1.460865, 1.507466, 1.549817, 1.582317, 
    1.615517, 1.655817, 1.700966, 1.748316, 1.801615, 1.871365, 1.961714, 
    2.068065, 2.197515, 2.353667, 2.503869, 2.605818, 2.683619, 2.742971, 
    2.792275, 2.834829, 1.818882, 0.137694, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.04691388, 
    0.5947992, 0.8597567, 0.7961563, 0.7236081, 0.6564558, 0.605505, 
    0.5699574, 0.5524123, 0.5594173, 0.5892736, 0.6408327, 0.7158923, 
    0.8034513, 0.8855593, 0.9631153, 1.03737, 1.109124, 1.183327, 1.268027, 
    1.371975, 1.481673, 1.576321, 1.65907, 1.745969, 1.842818, 1.953314, 
    2.071156, 2.187247, 2.281988, 2.35078, 2.41117, 2.477909, 2.550847, 
    2.620734, 2.682925, 2.752873, 2.79032, 2.805217, 2.837613, 2.759098, 
    1.060733, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3201962, 1.577181, 2.095791, 2.115939, 2.140338, 2.148038, 2.14839, 
    2.15579, 2.152692, 2.137043, 2.108796, 2.06245, 1.999355, 1.934309, 
    1.873462, 1.811215, 1.750468, 1.697321, 1.652573, 1.613124, 1.582876, 
    1.562077, 1.545828, 1.533328, 1.525828, 1.524078, 1.524078, 1.524078, 
    1.524079, 1.524078, 1.524078, 1.524078, 1.524079, 1.524078, 1.524078, 
    1.524028, 1.522678, 1.517328, 1.507427, 1.491827, 1.471376, 1.447075, 
    1.417874, 1.379622, 1.33372, 1.286317, 1.238915, 1.18611, 1.132955, 
    1.0833, 1.038196, 0.9958943, 0.9611927, 0.9380415, 0.9183909, 0.9052914, 
    0.9062951, 0.9280477, 0.9623998, 1.000499, 1.041297, 1.079543, 1.131791, 
    1.194737, 1.265835, 1.333783, 1.405232, 1.486979, 1.325985, 1.236705, 
    1.721169, 1.796314, 1.867159, 1.924255, 1.973303, 2.0188, 2.055699, 
    2.086498, 2.103298, 2.110449, 2.102599, 2.083999, 1.341046, 0.202898, 
    1.294089, 1.961, 1.92775, 1.046342, 0.9444228, 0.943251, 1.598521, 
    1.875206, 1.873807, 1.877009, 1.886861, 1.905564, 1.932715, 1.962766, 
    1.995968, 2.03272, 2.070922, 2.104023, 2.134676, 2.162528, 2.18278, 
    2.196282, 2.205234, 2.210786, 2.211938, 2.205789, 2.18879, 2.158742, 
    2.116143,
  2.156037, 2.122088, 2.051791, 1.969944, 1.886548, 1.802451, 1.719705, 
    1.647708, 1.59131, 1.540511, 1.488912, 1.443263, 1.409315, 1.383416, 
    1.356267, 1.324167, 1.288567, 1.248418, 1.204567, 1.161767, 1.126316, 
    1.092964, 1.059963, 1.033461, 1.01381, 0.9976589, 0.985508, 0.980557, 
    0.980557, 0.980557, 0.969207, 0.9504065, 0.9325563, 0.9245075, 0.9369608, 
    0.9746645, 1.013818, 1.054722, 1.081675, 1.094777, 1.092827, 1.090175, 
    1.079422, 1.054917, 1.020063, 0.9911604, 0.9691587, 0.9755076, 1.004808, 
    1.05126, 1.105162, 1.161214, 1.214816, 1.267017, 1.321618, 1.370516, 
    1.413815, 1.455714, 1.500113, 1.545512, 1.589061, 1.634361, 1.685014, 
    1.733017, 1.768819, 1.802519, 1.840918, 1.884517, 1.929566, 1.980565, 
    2.047614, 2.13236, 2.233306, 2.359454, 2.517904, 2.672105, 2.772805, 
    2.854256, 2.92261, 2.983465, 3.035067, 0.9159205, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.134457, 0.6510999, 0.8179594, 0.7445073, 0.6710548, 0.6185045, 
    0.5904575, 0.5873131, 0.6135719, 0.6655315, 0.7433915, 0.8452014, 
    0.9567098, 1.059067, 1.151622, 1.237175, 1.316226, 1.391325, 1.470621, 
    1.564616, 1.666012, 1.75481, 1.833108, 1.915255, 2.0038, 2.098793, 
    2.195536, 2.289779, 2.363522, 2.411015, 2.446957, 2.484346, 2.526786, 
    2.568979, 2.612924, 2.67407, 2.704768, 2.708963, 2.731009, 2.504661, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6562613, 
    2.191538, 2.203237, 2.218986, 2.238634, 2.246784, 2.252136, 2.260386, 
    2.258636, 2.245536, 2.222637, 2.18519, 2.134043, 2.079798, 2.027651, 
    1.972653, 1.918755, 1.872308, 1.832859, 1.798061, 1.771462, 1.752813, 
    1.738363, 1.726864, 1.720314, 1.718564, 1.718564, 1.718564, 1.718564, 
    1.718564, 1.718564, 1.718564, 1.718564, 1.718564, 1.718564, 1.718514, 
    1.717014, 1.711314, 1.701064, 1.684314, 1.662414, 1.636564, 1.605464, 
    1.564113, 1.514662, 1.463061, 1.408659, 1.344556, 1.279252, 1.218048, 
    1.164195, 1.116394, 1.076641, 1.05004, 1.027989, 1.015139, 1.020689, 
    1.044788, 1.082538, 1.119388, 0.97156, 0.8800732, 1.22953, 1.282027, 
    1.350877, 1.416777, 1.484076, 1.558774, 1.388591, 1.291302, 1.766565, 
    1.832112, 1.890708, 1.936254, 1.979001, 2.01995, 2.0538, 2.082499, 
    2.099299, 2.107349, 2.099899, 1.563892, 0.310885, 0.2011506, 2.004007, 
    1.973759, 1.259838, 0.1927005, 0.9669178, 1.435839, 1.903362, 1.899362, 
    1.900562, 1.907013, 1.920463, 1.943914, 1.974315, 2.007016, 2.043567, 
    2.084668, 2.126969, 2.16427, 2.199122, 2.231523, 2.256474, 2.274525, 
    2.287676, 2.297227, 2.301528, 2.298029, 2.28473, 2.259232, 2.221334,
  2.253027, 2.223628, 2.161931, 2.090334, 2.016788, 1.942891, 1.870194, 
    1.807347, 1.757049, 1.71095, 1.663852, 1.622153, 1.591805, 1.569506, 
    1.545707, 1.516108, 1.482059, 1.44346, 1.40001, 1.35616, 1.317809, 
    1.280508, 1.242957, 1.212055, 1.188804, 1.168703, 1.153101, 1.146251, 
    1.145551, 1.1452, 1.1336, 1.11375, 1.0958, 1.091852, 1.112604, 1.160557, 
    1.20956, 1.260313, 1.296415, 1.314266, 1.311066, 1.304715, 1.284812, 
    1.248859, 1.205057, 1.170356, 1.145206, 1.150456, 1.183558, 1.23626, 
    1.296712, 1.359564, 1.418066, 1.473417, 1.527516, 1.573616, 1.613315, 
    1.651263, 1.691161, 1.73276, 1.773559, 1.817508, 1.87496, 1.931463, 
    1.973064, 2.007665, 2.042913, 2.082612, 2.12356, 2.170459, 2.231006, 
    2.301901, 2.389296, 2.505392, 2.66119, 2.81679, 2.91779, 3.004442, 
    3.084946, 3.161201, 2.387543, 0.4725101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4467578, 0.8515122, 0.7686583, 0.6885064, 0.634756, 0.6139078, 
    0.6283135, 0.6849243, 0.7672845, 0.875194, 1.006904, 1.143812, 1.265818, 
    1.371721, 1.465323, 1.544822, 1.609318, 1.674512, 1.752757, 1.840952, 
    1.920549, 1.991746, 2.063492, 2.136337, 2.21128, 2.287975, 2.361818, 
    2.415863, 2.444257, 2.458301, 2.468393, 2.484086, 2.507231, 2.539828, 
    2.588824, 2.612922, 2.605469, 2.615515, 2.391615, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6912114, 2.307788, 2.317837, 
    2.329636, 2.341783, 2.349032, 2.356632, 2.362931, 2.35948, 2.34653, 
    2.32588, 2.294331, 2.252384, 2.209037, 2.164989, 2.117142, 2.070244, 
    2.029546, 1.995497, 1.965398, 1.941549, 1.92505, 1.9124, 1.902301, 
    1.896301, 1.894551, 1.894551, 1.894551, 1.894551, 1.894551, 1.894551, 
    1.894551, 1.894551, 1.894551, 1.894551, 1.894551, 1.893501, 1.887801, 
    1.877901, 1.861302, 1.839552, 1.814052, 1.783303, 1.742053, 1.692154, 
    1.639804, 1.580803, 1.508951, 1.434799, 1.364797, 1.300743, 1.243139, 
    1.196637, 1.162533, 1.130878, 0.5936574, 0.5379199, 0.5494128, 0.5686011, 
    0.5867899, 0.6160119, 0.9699617, 1.311823, 1.360424, 1.430525, 1.495774, 
    1.559273, 1.627871, 1.694668, 1.754266, 1.811064, 1.868412, 1.916309, 
    1.953007, 1.988655, 2.024552, 2.054601, 2.08075, 2.099201, 2.004488, 
    1.048707, 0.5224295, 0, 0.1009381, 1.006083, 0.9926409, 0.2960683, 
    0.991289, 1.954213, 1.947263, 1.941013, 1.936963, 1.939363, 1.947263, 
    1.962164, 1.987414, 2.019915, 2.054765, 2.093466, 2.137566, 2.182067, 
    2.221767, 2.258667, 2.293518, 2.321218, 2.341769, 2.357419, 2.36922, 
    2.37547, 2.374021, 2.363822, 2.342823, 2.310524,
  2.333019, 2.30747, 2.254573, 2.193725, 2.130528, 2.067331, 2.005084, 
    1.951136, 1.907538, 1.86674, 1.824841, 1.788342, 1.762544, 1.744445, 
    1.725196, 1.700148, 1.670299, 1.635201, 1.594402, 1.551502, 1.511552, 
    1.471252, 1.430401, 1.3952, 1.367048, 1.342047, 1.322196, 1.312795, 
    1.310544, 1.309344, 1.297044, 1.276243, 1.259044, 1.258994, 1.287197, 
    1.344299, 1.401801, 1.460353, 1.503104, 1.523254, 1.519304, 1.510104, 
    1.483752, 1.440501, 1.39205, 1.3555, 1.33035, 1.338152, 1.377053, 
    1.436955, 1.505207, 1.575709, 1.640061, 1.697762, 1.750512, 1.794211, 
    1.83031, 1.863608, 1.896757, 1.932254, 1.967553, 2.009502, 2.071503, 
    2.134604, 2.182056, 2.217956, 2.249755, 2.283604, 2.318552, 2.358049, 
    2.406945, 2.45969, 2.530286, 2.632031, 2.779178, 2.932977, 3.034527, 
    3.126629, 3.219882, 2.79581, 0.8213097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4722568, 0.8916609, 0.7946566, 0.7078047, 0.6532547, 0.6393068, 
    0.6761638, 0.7683234, 0.8837823, 1.023041, 1.185699, 1.349856, 1.492312, 
    1.609565, 1.706665, 1.778612, 1.826057, 1.873502, 1.932096, 1.99974, 
    2.063034, 2.120729, 2.177424, 2.23317, 2.289265, 2.348161, 2.402956, 
    2.440202, 2.45575, 2.455197, 2.446394, 2.44304, 2.453238, 2.476385, 
    2.512082, 2.525027, 2.506974, 2.503971, 1.28959, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7270592, 2.427281, 2.435931, 
    2.44438, 2.45073, 2.45753, 2.467131, 2.470881, 2.46373, 2.448279, 
    2.427578, 2.398579, 2.362679, 2.32653, 2.288282, 2.246083, 2.204584, 
    2.169035, 2.139786, 2.113837, 2.093138, 2.078789, 2.067589, 2.058739, 
    2.05344, 2.05204, 2.05204, 2.05204, 2.05204, 2.05204, 2.05204, 2.05204, 
    2.05204, 2.05204, 2.05204, 2.05204, 2.05114, 2.04579, 2.03659, 2.02119, 
    1.99999, 1.975791, 1.945991, 1.906492, 1.858092, 1.805792, 1.743691, 
    1.66824, 1.588289, 1.511788, 1.439837, 1.373886, 1.321635, 1.278033, 
    0.7858404, 0.05836871, 0.1943541, 0.3239234, 0, 0, 0.4054578, 1.361025, 
    1.391872, 1.438571, 1.50872, 1.57177, 1.631669, 1.694517, 1.751415, 
    1.803262, 1.854411, 1.903409, 1.942957, 1.974756, 2.005855, 2.036754, 
    1.750937, 1.567225, 2.110505, 1.914306, 0, 0, 0, 0, 0, 0, 0, 0.9950753, 
    2.000763, 1.992263, 1.985513, 1.981463, 1.984163, 1.993263, 2.009013, 
    2.035814, 2.069364, 2.105764, 2.145314, 2.190064, 2.235064, 2.275014, 
    2.312164, 2.347113, 2.375863, 2.397263, 2.413763, 2.426663, 2.433764, 
    2.433764, 2.426064, 2.408916, 2.381867,
  2.395512, 2.374163, 2.330115, 2.279268, 2.22677, 2.174273, 2.122425, 
    2.077077, 2.040779, 2.00588, 1.969331, 1.938032, 1.917534, 1.904735, 
    1.891237, 1.872638, 1.84904, 1.819841, 1.784293, 1.745094, 1.706295, 
    1.665045, 1.621794, 1.582644, 1.550043, 1.520242, 1.49524, 1.481689, 
    1.477289, 1.474638, 1.460638, 1.439238, 1.423038, 1.426789, 1.46214, 
    1.526592, 1.591043, 1.655495, 1.702896, 1.724746, 1.720546, 1.708645, 
    1.676744, 1.628092, 1.577042, 1.539992, 1.515592, 1.527043, 1.570043, 
    1.635794, 1.711696, 1.790297, 1.861549, 1.9223, 1.97535, 2.0171, 2.0503, 
    2.078949, 2.105147, 2.132145, 2.160043, 2.198442, 2.262142, 2.329793, 
    2.381544, 2.419294, 2.448094, 2.476092, 2.504541, 2.534389, 2.567585, 
    2.59988, 2.651025, 2.73507, 2.868717, 3.016715, 3.116764, 3.212265, 
    3.313666, 2.372312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.498006, 0.93371, 
    0.8215566, 0.7256041, 0.6707541, 0.665256, 0.728112, 0.85572, 1.004028, 
    1.174385, 1.366991, 1.557247, 1.719051, 1.845152, 1.940952, 2.000599, 
    2.029044, 2.056089, 2.089432, 2.130026, 2.171521, 2.211267, 2.252913, 
    2.293911, 2.334508, 2.377905, 2.416801, 2.44305, 2.452249, 2.444297, 
    2.425695, 2.410343, 2.409741, 2.422788, 2.445535, 2.441731, 2.41473, 
    2.398927, 0.2396976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.7602073, 2.538775, 2.548075, 2.555325, 2.560075, 2.568776, 
    2.583427, 2.590379, 2.580028, 2.560277, 2.537376, 2.508226, 2.474426, 
    2.441026, 2.405177, 2.363976, 2.322976, 2.291276, 2.265877, 2.243828, 
    2.226578, 2.214029, 2.204279, 2.196729, 2.19243, 2.19103, 2.19103, 
    2.19103, 2.19103, 2.19103, 2.19103, 2.19103, 2.19103, 2.19103, 2.19103, 
    2.19103, 2.19013, 2.18528, 2.17693, 2.16223, 2.14213, 2.118781, 2.090181, 
    2.052481, 2.005882, 1.953532, 1.889632, 1.813132, 1.731032, 1.652032, 
    1.577932, 1.510732, 1.230779, 0.669193, 0.6917361, 0.704673, 0.9023856, 
    1.041681, 0.7289842, 0.7446913, 0.9651999, 1.460024, 1.487475, 1.530524, 
    1.344207, 1.234078, 1.707669, 1.761916, 1.808664, 1.852012, 1.89536, 
    1.936908, 1.970207, 1.998506, 2.026455, 2.054504, 1.768748, 1.585244, 
    2.130455, 1.069608, 0, 0, 0, 0, 0, 0, 0.74164, 1.151485, 2.052963, 
    2.043262, 2.036012, 2.031912, 2.034312, 2.044012, 2.060362, 2.087812, 
    2.121862, 2.158512, 2.197962, 2.241512, 2.284761, 2.323261, 2.35861, 
    2.392159, 2.419909, 2.440258, 2.456408, 2.468758, 2.476258, 2.477008, 
    2.471458, 2.457559, 2.43571,
  2.440007, 2.423208, 2.388159, 2.347461, 2.305763, 2.263715, 2.221868, 
    2.185519, 2.15627, 2.127371, 2.096823, 2.071374, 2.056525, 2.049726, 
    2.043228, 2.032079, 2.016031, 1.994732, 1.967184, 1.934286, 1.899537, 
    1.860587, 1.817188, 1.776188, 1.740787, 1.706437, 1.676286, 1.658285, 
    1.650534, 1.645233, 1.628283, 1.605732, 1.590783, 1.598933, 1.640685, 
    1.712086, 1.782287, 1.851438, 1.902288, 1.925739, 1.921038, 1.905838, 
    1.867687, 1.812535, 1.758284, 1.719784, 1.694734, 1.707333, 1.752034, 
    1.821234, 1.902785, 1.988136, 2.063787, 2.125786, 2.177235, 2.215684, 
    2.245283, 2.269282, 2.288481, 2.306229, 2.326528, 2.362578, 2.429729, 
    2.50343, 2.561282, 2.602333, 2.629383, 2.652232, 2.674531, 2.694729, 
    2.710726, 2.720771, 2.750767, 2.813663, 2.930109, 3.068007, 3.164006, 
    3.258255, 3.360305, 2.406253, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6627529, 
    0.644696, 0.8218686, 0.976658, 0.8506055, 0.7434034, 0.6887535, 
    0.6918551, 0.7771087, 0.9366642, 1.11577, 1.314475, 1.53458, 1.746733, 
    1.924536, 2.055437, 2.147486, 2.196034, 2.206031, 2.209726, 2.214471, 
    2.227165, 2.247512, 2.271359, 2.300457, 2.330655, 2.361504, 2.393052, 
    2.421201, 2.4417, 2.446249, 2.433648, 2.408597, 2.384495, 2.371743, 
    2.372291, 2.380987, 2.359934, 2.324232, 2.29553, 0.2289979, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3879018, 1.970513, 
    2.65432, 2.66232, 2.66737, 2.680271, 2.701923, 2.715524, 2.706175, 
    2.681274, 2.653923, 2.622322, 2.587922, 2.553771, 2.51612, 2.471469, 
    2.427169, 2.396268, 2.374469, 2.35582, 2.34152, 2.33077, 2.322821, 
    2.316671, 2.312921, 2.311521, 2.311521, 2.311521, 2.311521, 2.311521, 
    2.311521, 2.311521, 2.311521, 2.311521, 2.311521, 2.311521, 2.310771, 
    2.306521, 2.298421, 2.284272, 2.265272, 2.242772, 2.215372, 2.179023, 
    2.134022, 2.082022, 2.018823, 1.943573, 1.862474, 1.785774, 1.712225, 
    0.8779819, 0.5373948, 0, 1.034968, 1.477226, 1.486327, 1.503026, 
    1.517973, 1.545572, 1.56312, 1.56627, 1.59252, 1.632469, 1.173562, 
    0.8790073, 1.784614, 1.084328, 1.866411, 1.900759, 1.935807, 1.970506, 
    1.998955, 2.024005, 2.048704, 2.075504, 2.102304, 1.590049, 1.070091, 
    0.107309, 0, 0, 0, 0, 0, 0.5487094, 1.830733, 2.12676, 2.10781, 2.09751, 
    2.090011, 2.08586, 2.08796, 2.098011, 2.115061, 2.142811, 2.176411, 
    2.21151, 2.249059, 2.290359, 2.330008, 2.365258, 2.397357, 2.428106, 
    2.452805, 2.470755, 2.485204, 2.495904, 2.503104, 2.504004, 2.500004, 
    2.489154, 2.472055,
  2.469003, 2.456404, 2.430256, 2.399857, 2.368258, 2.33631, 2.304311, 
    2.276813, 2.254264, 2.231715, 2.207766, 2.188367, 2.179768, 2.179569, 
    2.18082, 2.178671, 2.171273, 2.159324, 2.141576, 2.117227, 2.089779, 
    2.05638, 2.016981, 1.977031, 1.940281, 1.903181, 1.86928, 1.84738, 
    1.836029, 1.826779, 1.805878, 1.781228, 1.767278, 1.778878, 1.826229, 
    1.90378, 1.97828, 2.050681, 2.104181, 2.128431, 2.121781, 2.10218, 
    2.057129, 1.994527, 1.935027, 1.893376, 1.866125, 1.875875, 1.920024, 
    1.990074, 2.074425, 2.164675, 2.245026, 2.309277, 2.358627, 2.392977, 
    2.418026, 2.435725, 2.447324, 2.455673, 2.467521, 2.49932, 2.568919, 
    2.64967, 2.716021, 2.762072, 2.790523, 2.810173, 2.827772, 2.839071, 
    2.838218, 2.824714, 2.832011, 2.871507, 2.967954, 3.092852, 3.182251, 
    3.2706, 3.368399, 2.410449, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6039342, 
    1.440135, 1.32096, 1.162259, 1.024208, 0.8870067, 0.7683048, 0.7117541, 
    0.7220551, 0.8249076, 1.008811, 1.212013, 1.433066, 1.674219, 1.902521, 
    2.092022, 2.224122, 2.310871, 2.35167, 2.347269, 2.329566, 2.308512, 
    2.296559, 2.298256, 2.308704, 2.327703, 2.351152, 2.376251, 2.401001, 
    2.42325, 2.4396, 2.441499, 2.426249, 2.396549, 2.365448, 2.341246, 
    2.327544, 2.320241, 2.28714, 2.24349, 1.449208, 0.1117159, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.374258, 2.757616, 
    2.768317, 2.775617, 2.793017, 2.820918, 2.840119, 2.834919, 2.805769, 
    2.772768, 2.735967, 2.698016, 2.659765, 2.616614, 2.566063, 2.517112, 
    2.484762, 2.465363, 2.449713, 2.437613, 2.429013, 2.422864, 2.417664, 
    2.414714, 2.414014, 2.414014, 2.414064, 2.414515, 2.414515, 2.414865, 
    2.415015, 2.415015, 2.414765, 2.414515, 2.414464, 2.413414, 2.409514, 
    2.401414, 2.387714, 2.368914, 2.347265, 2.320714, 2.285515, 2.241665, 
    2.190515, 2.129566, 2.057966, 1.980017, 1.907018, 1.178267, 0.08792316, 
    0, 0, 1.127714, 1.614971, 1.627472, 1.639521, 1.642119, 0.8862315, 
    0.8079034, 0.8095029, 1.434636, 1.728565, 1.235509, 0.9150051, 1.189658, 
    0.2827228, 1.918458, 1.944506, 1.273492, 1.900874, 2.025354, 1.530846, 
    1.762109, 1.993221, 1.056478, 0.5320876, 0, 0, 0, 0, 0, 0, 0.3389534, 
    1.673426, 2.203007, 2.179758, 2.161808, 2.151508, 2.144008, 2.139908, 
    2.142908, 2.154259, 2.171909, 2.199208, 2.230808, 2.263008, 2.297307, 
    2.334857, 2.370306, 2.400755, 2.428404, 2.454603, 2.475053, 2.489752, 
    2.500952, 2.509801, 2.515101, 2.516251, 2.513551, 2.505702, 2.492902,
  2.488002, 2.479252, 2.461303, 2.439954, 2.417255, 2.394556, 2.371757, 
    2.352308, 2.335758, 2.319559, 2.30176, 2.288661, 2.287511, 2.294762, 
    2.304464, 2.312415, 2.314516, 2.313117, 2.306568, 2.29312, 2.275021, 
    2.249922, 2.218173, 2.181823, 2.146024, 2.108824, 2.072824, 2.048624, 
    2.034273, 2.021323, 1.995922, 1.967922, 1.953772, 1.967972, 2.019672, 
    2.101023, 2.178273, 2.252373, 2.307073, 2.330673, 2.320773, 2.295822, 
    2.242621, 2.17157, 2.105019, 2.057718, 2.025017, 2.028816, 2.069266, 
    2.137366, 2.223316, 2.321067, 2.413019, 2.487821, 2.541771, 2.575521, 
    2.597521, 2.608671, 2.612069, 2.608568, 2.606516, 2.625814, 2.690263, 
    2.773163, 2.846264, 2.898365, 2.931165, 2.950565, 2.965015, 2.968964, 
    2.951662, 2.913709, 2.896507, 2.910804, 2.985301, 3.094649, 3.173247, 
    3.252896, 3.342995, 2.389096, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9568187, 1.044839, 
    1.00398, 1.51597, 1.582006, 1.382507, 1.221007, 1.077706, 0.9332556, 
    0.8038045, 0.7392532, 0.752053, 0.8697546, 1.069706, 1.288257, 1.523608, 
    1.777509, 2.01561, 2.213011, 2.347762, 2.429361, 2.46321, 2.44926, 
    2.416758, 2.376456, 2.345155, 2.332003, 2.330752, 2.341451, 2.36025, 
    2.38175, 2.4029, 2.42275, 2.4376, 2.43925, 2.4234, 2.39235, 2.3568, 
    2.323749, 2.297348, 2.274996, 2.234495, 1.650122, 0.3281249, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.421505, 2.85561, 
    2.871761, 2.883962, 2.905513, 2.936513, 2.959963, 2.956913, 2.926263, 
    2.887913, 2.844462, 2.799711, 2.75426, 2.703559, 2.645208, 2.590707, 
    2.556507, 2.538758, 2.525658, 2.515558, 2.508758, 2.504058, 2.500158, 
    2.498508, 2.498759, 2.499009, 2.499559, 2.500659, 2.501259, 2.502209, 
    2.502509, 2.502359, 2.501759, 2.501159, 2.500459, 2.498909, 2.494759, 
    2.486409, 2.472709, 2.453909, 2.432259, 2.406059, 2.372009, 2.329759, 
    2.280759, 2.22371, 2.157911, 2.085211, 2.016262, 0.5959536, 0, 0, 0, 
    0.5868158, 0.9335784, 1.766616, 1.31416, 0.852605, 0.08523051, 0, 0, 
    0.6127099, 1.725489, 1.290456, 0.4658934, 0.2795361, 0.9825303, 1.964455, 
    1.984004, 1.307564, 1.929576, 2.051203, 1.557122, 1.789124, 1.055607, 0, 
    0.5548769, 0.3329261, 0, 0, 0.5813829, 1.165917, 1.165866, 1.497488, 
    2.273255, 2.252956, 2.233206, 2.217157, 2.206506, 2.199007, 2.195557, 
    2.200557, 2.212507, 2.230057, 2.254706, 2.283056, 2.311506, 2.341705, 
    2.374354, 2.404604, 2.430253, 2.452752, 2.473652, 2.489651, 2.501001, 
    2.509201, 2.51535, 2.51895, 2.52, 2.51825, 2.51325, 2.504451,
  2.501501, 2.495901, 2.484351, 2.470552, 2.456002, 2.441103, 2.426203, 
    2.413504, 2.402004, 2.390855, 2.378855, 2.372956, 2.379006, 2.394157, 
    2.413008, 2.430958, 2.443009, 2.45261, 2.458511, 2.456812, 2.448763, 
    2.433363, 2.411514, 2.382065, 2.348765, 2.312665, 2.276215, 2.250015, 
    2.232765, 2.216214, 2.185464, 2.152514, 2.136263, 2.152213, 2.207564, 
    2.291614, 2.371014, 2.446214, 2.501464, 2.524064, 2.511014, 2.480814, 
    2.419063, 2.338312, 2.263262, 2.208161, 2.16701, 2.162659, 2.196759, 
    2.261309, 2.352009, 2.465061, 2.576262, 2.669264, 2.735765, 2.774166, 
    2.795016, 2.801166, 2.794115, 2.772513, 2.748261, 2.745709, 2.795707, 
    2.873456, 2.949507, 3.006307, 3.044357, 3.065708, 3.079257, 3.077407, 
    3.045156, 2.984205, 2.942253, 2.931801, 2.984599, 3.077048, 3.142997, 
    3.213846, 3.294546, 2.350247, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5415825, 1.077564, 2.020366, 
    2.0903, 2.016501, 1.845053, 1.635654, 1.441805, 1.280505, 1.134255, 
    0.9845042, 0.8459535, 0.7702526, 0.7789021, 0.9065526, 1.117103, 
    1.345254, 1.589154, 1.850855, 2.094955, 2.298006, 2.437006, 2.515706, 
    2.543055, 2.522255, 2.480454, 2.426453, 2.381002, 2.355501, 2.343651, 
    2.3476, 2.3628, 2.38225, 2.4017, 2.42135, 2.4374, 2.4415, 2.429501, 
    2.402401, 2.365551, 2.327751, 2.293451, 2.26045, 1.8863, 0.5456669, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7216401, 
    2.493788, 2.963256, 2.985758, 3.012258, 3.045758, 3.071208, 3.066808, 
    3.033507, 2.991107, 2.943007, 2.888656, 2.833005, 2.772805, 2.705854, 
    2.645754, 2.610503, 2.594504, 2.583654, 2.575504, 2.570254, 2.566754, 
    2.564604, 2.564154, 2.565254, 2.566705, 2.568055, 2.569955, 2.571505, 
    2.573055, 2.573505, 2.573355, 2.572505, 2.571305, 2.569504, 2.567255, 
    2.562505, 2.553555, 2.539204, 2.519754, 2.497504, 2.471404, 2.439504, 
    2.400155, 2.354505, 2.302556, 2.244906, 2.179757, 1.581176, 0.3058034, 0, 
    0, 0, 0.6412977, 1.004925, 1.8338, 0.9189999, 0, 0, 0, 0, 0, 1.698204, 
    1.337003, 0, 0, 0.9863304, 2.004253, 2.019253, 2.037052, 2.057452, 
    2.078202, 2.102252, 1.375787, 0.1059838, 0.3336508, 1.673836, 1.468072, 
    1.151475, 1.164427, 1.75334, 2.342252, 2.343202, 2.331302, 2.314503, 
    2.298403, 2.283103, 2.269954, 2.260504, 2.254204, 2.252504, 2.258254, 
    2.269254, 2.285504, 2.306754, 2.331504, 2.355753, 2.381053, 2.408352, 
    2.433402, 2.454252, 2.471951, 2.487751, 2.499901, 2.508501, 2.5143, 
    2.518, 2.5208, 2.5215, 2.52045, 2.51735, 2.511851,
  2.511, 2.50785, 2.500951, 2.493201, 2.485251, 2.476601, 2.468102, 2.460701, 
    2.453752, 2.446452, 2.439902, 2.440602, 2.453002, 2.473103, 2.496353, 
    2.517202, 2.532002, 2.544352, 2.555002, 2.558652, 2.555502, 2.544652, 
    2.529552, 2.507252, 2.477752, 2.444052, 2.409452, 2.381902, 2.361753, 
    2.340902, 2.308552, 2.276453, 2.263253, 2.286103, 2.349204, 2.431204, 
    2.506753, 2.577053, 2.634553, 2.657403, 2.642503, 2.607653, 2.538053, 
    2.451252, 2.378503, 2.327104, 2.289104, 2.278004, 2.305254, 2.365754, 
    2.466054, 2.604455, 2.742756, 2.860058, 2.946108, 2.993459, 3.013509, 
    3.014658, 2.995558, 2.946607, 2.888755, 2.854004, 2.878453, 2.943402, 
    3.017252, 3.076402, 3.119702, 3.144802, 3.159503, 3.153552, 3.110602, 
    3.030351, 2.96525, 2.9341, 2.967699, 3.044148, 3.101248, 3.164298, 
    3.235998, 2.304048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.1088083, 1.087183, 1.624041, 2.15215, 2.12605, 
    2.0917, 2.032251, 1.882501, 1.684402, 1.496552, 1.336752, 1.188502, 
    1.034252, 0.8872514, 0.8005009, 0.8009006, 0.9335507, 1.152101, 1.386501, 
    1.636651, 1.904652, 2.153002, 2.360252, 2.502752, 2.580102, 2.603352, 
    2.577502, 2.528902, 2.465301, 2.408301, 2.3725, 2.35175, 2.35075, 2.3637, 
    2.3815, 2.4007, 2.42095, 2.4393, 2.44825, 2.443551, 2.424451, 2.390201, 
    2.352001, 2.314501, 2.278051, 1.570101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.042921, 2.886741, 3.077303, 
    3.110754, 3.147004, 3.171504, 3.162004, 3.122003, 3.075003, 3.023303, 
    2.961503, 2.893502, 2.822351, 2.746201, 2.681951, 2.646251, 2.631901, 
    2.623601, 2.617451, 2.613751, 2.611451, 2.610651, 2.611951, 2.614002, 
    2.616751, 2.619552, 2.622752, 2.625252, 2.627402, 2.628452, 2.628352, 
    2.627002, 2.624952, 2.622002, 2.618452, 2.612752, 2.602852, 2.586751, 
    2.566102, 2.543751, 2.518251, 2.488902, 2.451752, 2.409502, 2.363752, 
    2.316502, 2.262253, 1.114501, 0, 0, 0, 0.4720359, 1.569472, 1.8232, 
    1.548328, 0.458965, 0, 0, 0, 0, 0, 1.716, 1.657673, 0.9935756, 1.002126, 
    1.110919, 2.029001, 2.046501, 2.064001, 1.244987, 2.104001, 2.129251, 
    1.404508, 1.101184, 1.45171, 2.253751, 2.285501, 2.316601, 2.341051, 
    2.355501, 2.363301, 2.3639, 2.355801, 2.344751, 2.333701, 2.323051, 
    2.313701, 2.307002, 2.303102, 2.304302, 2.310602, 2.320752, 2.334752, 
    2.353152, 2.373951, 2.394251, 2.414901, 2.436901, 2.457351, 2.473501, 
    2.486851, 2.49875, 2.5073, 2.5135, 2.5176, 2.52, 2.52165, 2.522, 2.52165, 
    2.5199, 2.5166,
  2.5175, 2.5161, 2.51295, 2.50925, 2.50575, 2.5019, 2.49805, 2.4946, 2.491, 
    2.4867, 2.4845, 2.49125, 2.509, 2.5306, 2.55315, 2.5705, 2.58025, 
    2.58685, 2.59365, 2.59585, 2.592, 2.5822, 2.5716, 2.5554, 2.53125, 
    2.5015, 2.4712, 2.44445, 2.42175, 2.39625, 2.3626, 2.3314, 2.32125, 
    2.3503, 2.4168, 2.49095, 2.55725, 2.6176, 2.67165, 2.695, 2.6825, 
    2.64865, 2.5793, 2.49835, 2.44, 2.40335, 2.38115, 2.37405, 2.39775, 
    2.4554, 2.57115, 2.7422, 2.91275, 3.0588, 3.16775, 3.22475, 3.24325, 
    3.23865, 3.20555, 3.1213, 3.021, 2.94695, 2.9357, 2.97725, 3.04225, 
    3.10235, 3.15025, 3.1799, 3.19625, 3.1881, 3.1382, 3.04495, 2.96425, 
    2.9189, 2.93675, 2.99995, 3.05175, 3.10845, 3.1725, 2.7411, 0.8095, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.545, 
    1.08825, 1.1938, 2.16885, 2.16025, 2.1457, 2.1221, 2.09095, 2.04325, 
    1.9112, 1.72365, 1.5418, 1.3835, 1.2336, 1.075, 0.9197, 0.822, 0.81215, 
    0.94705, 1.1713, 1.41025, 1.6653, 1.93855, 2.19105, 2.40175, 2.5463, 
    2.62205, 2.64225, 2.61375, 2.5611, 2.4911, 2.42505, 2.38075, 2.3536, 
    2.3503, 2.36285, 2.38125, 2.40105, 2.423, 2.44435, 2.4585, 2.4618, 
    2.45175, 2.4239, 2.38975, 2.35525, 2.3215, 1.6016, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.54475, 
    3.17075, 3.212, 3.24765, 3.26685, 3.24875, 3.2, 3.146, 3.0895, 3.0224, 
    2.9405, 2.85755, 2.7721, 2.70415, 2.668, 2.6546, 2.64765, 2.6431, 
    2.64025, 2.6388, 2.63915, 2.6419, 2.64525, 2.6493, 2.654, 2.65855, 
    2.6625, 2.66575, 2.6674, 2.6672, 2.66525, 2.66225, 2.65795, 2.65265, 
    2.6455, 2.63415, 2.61625, 2.5938, 2.5715, 2.54675, 2.51785, 2.4809, 
    2.4415, 2.40315, 2.368, 1.97695, 0.56725, 0, 0, 0.29895, 1.44525, 1.8569, 
    1.8112, 1.2537, 0, 0, 0, 0, 0, 0, 1.6911, 1.94715, 1.98625, 1.3019, 
    1.9198, 2.03555, 2.05975, 2.08465, 1.2671, 2.12695, 2.154, 2.18385, 
    2.2162, 2.25075, 2.28425, 2.31495, 2.34355, 2.36465, 2.37625, 2.38225, 
    2.38175, 2.377, 2.37075, 2.36415, 2.35755, 2.3518, 2.34775, 2.34685, 
    2.35015, 2.3566, 2.366, 2.37785, 2.3935, 2.4102, 2.427, 2.44345, 2.46085, 
    2.4763, 2.4885, 2.49825, 2.5072, 2.5127, 2.517, 2.5199, 2.52145, 2.522, 
    2.522, 2.522, 2.5214, 2.5197,
  2.516, 2.51565, 2.5145, 2.51335, 2.5125, 2.51165, 2.51055, 2.50955, 
    2.50775, 2.5056, 2.50765, 2.520749, 2.543249, 2.566799, 2.589449, 
    2.603799, 2.608749, 2.610899, 2.61285, 2.61255, 2.6085, 2.6027, 2.598699, 
    2.590349, 2.572499, 2.547648, 2.522598, 2.498948, 2.474748, 2.444948, 
    2.404748, 2.367899, 2.352999, 2.379399, 2.43965, 2.505, 2.563, 2.61435, 
    2.658251, 2.679551, 2.672001, 2.6445, 2.58505, 2.5178, 2.472999, 
    2.449199, 2.440648, 2.445098, 2.470248, 2.525498, 2.663297, 2.871045, 
    3.075994, 3.251893, 3.382042, 3.448042, 3.465492, 3.455292, 3.408742, 
    3.282444, 3.135496, 3.018298, 2.968499, 2.98405, 3.0365, 3.094901, 
    3.14535, 3.17865, 3.19725, 3.1882, 3.133001, 3.031351, 2.941501, 
    2.887352, 2.893352, 2.946552, 2.995002, 3.047302, 3.106053, 3.167003, 
    2.40494, 0.4823633, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.085, 2.167201, 2.162001, 2.156651, 2.149501, 2.13675, 
    2.1167, 2.0908, 2.051, 1.9293, 1.749399, 1.570949, 1.412249, 1.2595, 
    1.0943, 0.93405, 0.8290001, 0.8132001, 0.9500501, 1.1782, 1.4185, 1.6721, 
    1.9442, 2.197201, 2.408251, 2.552801, 2.626001, 2.642951, 2.613501, 
    2.562351, 2.4935, 2.4263, 2.37825, 2.34805, 2.3449, 2.3596, 2.38075, 
    2.40225, 2.42695, 2.4514, 2.470999, 2.482549, 2.481699, 2.462498, 
    2.437748, 2.414747, 2.389547, 2.009171, 0.5929548, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1604122, 
    2.112284, 3.312746, 3.344297, 3.353797, 3.324997, 3.267748, 3.205948, 
    3.143548, 3.070649, 2.978499, 2.884249, 2.791249, 2.719049, 2.681, 
    2.6664, 2.65865, 2.6536, 2.65075, 2.6493, 2.65015, 2.65385, 2.659, 
    2.66485, 2.6715, 2.678, 2.683249, 2.687099, 2.6894, 2.689549, 2.687, 
    2.682699, 2.67645, 2.6692, 2.66025, 2.64745, 2.6282, 2.60385, 2.5805, 
    2.55505, 2.52495, 2.4885, 2.453, 2.42205, 2.274059, 0.827113, 0, 0, 0, 
    0.5979, 1.94425, 1.850001, 1.788701, 1.229551, 0, 0, 0, 0, 0, 0, 
    0.9278066, 1.898753, 1.956752, 1.283898, 1.904743, 2.022401, 2.055501, 
    2.0928, 2.12135, 2.146899, 2.175749, 2.207399, 2.241099, 2.275899, 
    2.309249, 2.338749, 2.364549, 2.38225, 2.39075, 2.397149, 2.3989, 
    2.397899, 2.395249, 2.392249, 2.389049, 2.386549, 2.385499, 2.386899, 
    2.390648, 2.396799, 2.404749, 2.414799, 2.427499, 2.440949, 2.454249, 
    2.466849, 2.480299, 2.4914, 2.50025, 2.507, 2.5128, 2.51625, 2.51875, 
    2.51985, 2.5204, 2.51985, 2.51925, 2.51865, 2.51795, 2.517,
  2.502002, 2.501652, 2.500502, 2.498152, 2.493003, 2.488553, 2.483504, 
    2.478605, 2.475755, 2.475355, 2.481805, 2.501404, 2.531503, 2.563352, 
    2.593201, 2.611101, 2.617, 2.61765, 2.616, 2.61375, 2.609751, 2.60855, 
    2.612299, 2.612349, 2.600498, 2.581998, 2.563047, 2.543747, 2.519247, 
    2.485997, 2.439298, 2.395898, 2.376249, 2.397899, 2.450099, 2.5067, 
    2.557001, 2.599951, 2.634452, 2.650653, 2.646002, 2.623852, 2.575651, 
    2.5218, 2.487999, 2.472749, 2.471199, 2.482299, 2.508999, 2.560549, 
    2.722297, 2.968194, 3.207492, 3.41074, 3.559789, 3.637588, 3.657487, 
    3.644487, 3.589188, 3.418941, 3.223994, 3.064047, 2.9764, 2.966403, 
    3.004504, 3.058354, 3.109854, 3.145404, 3.166754, 3.158704, 3.098804, 
    2.994254, 2.901754, 2.843554, 2.841254, 2.886255, 2.933005, 2.982205, 
    3.038105, 3.097205, 3.157005, 0.9547516, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3209511, 1.609919, 2.148252, 2.145452, 
    2.142101, 2.136751, 2.126151, 2.110301, 2.0903, 2.057499, 1.943499, 
    1.768198, 1.590498, 1.429249, 1.271149, 1.100699, 0.9397492, 0.8327492, 
    0.8135996, 0.9511997, 1.1773, 1.411001, 1.654852, 1.918953, 2.167453, 
    2.375754, 2.518254, 2.588654, 2.605354, 2.580003, 2.537852, 2.478801, 
    2.417401, 2.370751, 2.339851, 2.3375, 2.35485, 2.37925, 2.40365, 2.43095, 
    2.458149, 2.481999, 2.501299, 2.510598, 2.501197, 2.489746, 2.480395, 
    2.465794, 2.440043, 1.210746, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5016764, 2.545124, 3.429194, 
    3.428245, 3.388896, 3.323996, 3.255246, 3.186147, 3.108397, 3.011747, 
    2.910548, 2.811798, 2.735148, 2.693499, 2.675299, 2.665099, 2.657799, 
    2.65375, 2.6518, 2.65315, 2.65765, 2.6645, 2.67205, 2.681449, 2.690449, 
    2.696999, 2.701099, 2.703899, 2.704399, 2.701249, 2.695649, 2.686999, 
    2.677599, 2.66625, 2.65175, 2.6311, 2.60425, 2.5785, 2.551001, 2.519001, 
    2.482251, 2.448751, 2.418401, 1.200096, 0, 0.5564152, 0.3338491, 0, 
    0.5956504, 1.933751, 1.831952, 1.758603, 1.448915, 0.8116263, 0.2389136, 
    0, 0, 0, 0, 0.177701, 1.798909, 1.876258, 1.928056, 1.960505, 1.987903, 
    2.033752, 2.083801, 2.126, 2.159999, 2.190249, 2.2212, 2.255899, 2.29025, 
    2.3225, 2.35125, 2.37505, 2.39075, 2.399499, 2.407899, 2.413399, 
    2.416149, 2.416749, 2.416998, 2.417448, 2.417798, 2.419248, 2.421747, 
    2.425647, 2.431348, 2.437748, 2.445898, 2.455948, 2.466048, 2.475999, 
    2.485249, 2.494849, 2.502649, 2.508499, 2.51295, 2.5159, 2.5173, 2.51775, 
    2.5168, 2.5154, 2.513051, 2.511001, 2.508601, 2.506051, 2.504201,
  2.476504, 2.474754, 2.471154, 2.461755, 2.447006, 2.433307, 2.418509, 
    2.40446, 2.39626, 2.394711, 2.404511, 2.43161, 2.473758, 2.519057, 
    2.561555, 2.589254, 2.601253, 2.604503, 2.602403, 2.598753, 2.595503, 
    2.598202, 2.608801, 2.615551, 2.60975, 2.598349, 2.586498, 2.572848, 
    2.549997, 2.514898, 2.463648, 2.414498, 2.391749, 2.408199, 2.4511, 
    2.497952, 2.539253, 2.573204, 2.598705, 2.610305, 2.607005, 2.589355, 
    2.551254, 2.509502, 2.485251, 2.475701, 2.4776, 2.4903, 2.514751, 
    2.561601, 2.733601, 3.009299, 3.278246, 3.503444, 3.669542, 3.759241, 
    3.78399, 3.77164, 3.711641, 3.514542, 3.278496, 3.0813, 2.958054, 
    2.920807, 2.942758, 2.989909, 3.041909, 3.080158, 3.104758, 3.099258, 
    3.038008, 2.938307, 2.849756, 2.793056, 2.786057, 2.824757, 2.871507, 
    2.920007, 2.975606, 3.035456, 3.099255, 2.045948, 1.435971, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6388507, 2.129503, 
    2.128802, 2.127452, 2.125402, 2.121252, 2.112902, 2.100352, 2.084501, 
    2.057001, 1.948301, 1.775301, 1.5995, 1.438, 1.27825, 1.10815, 0.9486491, 
    0.8434988, 0.8226984, 0.9581988, 1.171501, 1.391503, 1.621654, 1.874306, 
    2.116107, 2.318508, 2.457208, 2.526308, 2.546508, 2.534256, 2.506254, 
    2.460452, 2.406801, 2.362501, 2.331501, 2.329251, 2.35005, 2.37875, 
    2.40605, 2.435, 2.464099, 2.490249, 2.515699, 2.535547, 2.537646, 
    2.538495, 2.536894, 2.530693, 2.519392, 1.255495, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8654479, 
    1.735097, 3.322632, 3.452393, 3.382743, 3.311342, 3.237193, 3.154493, 
    3.054744, 2.950794, 2.847245, 2.764946, 2.717996, 2.692747, 2.675399, 
    2.664699, 2.658749, 2.655949, 2.65765, 2.662799, 2.670999, 2.680949, 
    2.692099, 2.704048, 2.712498, 2.717798, 2.721798, 2.722548, 2.719248, 
    2.712098, 2.701048, 2.689348, 2.674749, 2.658049, 2.63455, 2.60385, 
    2.57475, 2.544251, 2.509151, 2.471251, 2.435752, 2.399202, 0.2390503, 0, 
    0.5566273, 0.3339764, 0, 0.5917504, 1.920751, 1.817551, 1.735952, 
    1.670803, 1.607504, 0.9889831, 0.6360545, 0, 0, 0, 0.7594655, 1.681363, 
    1.773512, 1.84501, 1.898607, 1.941556, 2.000004, 2.062303, 2.119301, 
    2.1638, 2.1945, 2.2238, 2.25875, 2.29245, 2.323251, 2.351251, 2.374151, 
    2.390501, 2.40225, 2.41295, 2.42145, 2.427899, 2.431499, 2.434399, 
    2.437398, 2.439748, 2.442498, 2.445598, 2.449548, 2.454198, 2.459498, 
    2.465849, 2.472999, 2.480299, 2.48725, 2.4935, 2.4999, 2.50505, 2.508501, 
    2.510901, 2.511451, 2.510701, 2.509252, 2.506752, 2.502952, 2.498452, 
    2.494003, 2.489203, 2.484553, 2.480753,
  2.439507, 2.436007, 2.425908, 2.40651, 2.382761, 2.359712, 2.335514, 
    2.312365, 2.296766, 2.290617, 2.302967, 2.340415, 2.396013, 2.454061, 
    2.50796, 2.544758, 2.562257, 2.570657, 2.570157, 2.564457, 2.561007, 
    2.565957, 2.580856, 2.593205, 2.594754, 2.591403, 2.587902, 2.581351, 
    2.563249, 2.529399, 2.475649, 2.4234, 2.3975, 2.408001, 2.441552, 
    2.477904, 2.509255, 2.533957, 2.552057, 2.561307, 2.559007, 2.545157, 
    2.515806, 2.483954, 2.466754, 2.461453, 2.465903, 2.478053, 2.498754, 
    2.540455, 2.708856, 3.001554, 3.290252, 3.532049, 3.712548, 3.809947, 
    3.838246, 3.827346, 3.765496, 3.558747, 3.29525, 3.069904, 2.917558, 
    2.857611, 2.865013, 2.904614, 2.956114, 2.997564, 3.025763, 3.023512, 
    2.966761, 2.87431, 2.792009, 2.740158, 2.732308, 2.767408, 2.815258, 
    2.862409, 2.91436, 2.969762, 3.035762, 3.103863, 2.826864, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.104868, 1.366627, 2.108503, 
    2.108153, 2.107453, 2.106053, 2.102753, 2.095603, 2.085403, 2.072902, 
    2.046752, 1.940102, 1.770001, 1.59855, 1.441249, 1.285698, 1.120697, 
    0.9677454, 0.8677443, 0.849294, 0.9783455, 1.172999, 1.375751, 1.590054, 
    1.828506, 2.059058, 2.25076, 2.383312, 2.451312, 2.47891, 2.482508, 
    2.469306, 2.437504, 2.392153, 2.351752, 2.320802, 2.319602, 2.346051, 
    2.37975, 2.409249, 2.439449, 2.469399, 2.496749, 2.525149, 2.551799, 
    2.563298, 2.568498, 1.667473, 1.408651, 2.179315, 0.6379446, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.769781, 3.519939, 3.450989, 3.383788, 3.309337, 3.221588, 3.118988, 
    3.013589, 2.906239, 2.81834, 2.762241, 2.724694, 2.693347, 2.674798, 
    2.665999, 2.662099, 2.663299, 2.669599, 2.679248, 2.690998, 2.702748, 
    2.716948, 2.728248, 2.736047, 2.742247, 2.744046, 2.740247, 2.731547, 
    2.719047, 2.705897, 2.688497, 2.668298, 2.640099, 2.60495, 2.57225, 
    2.538151, 2.499801, 2.460602, 1.823435, 1.194664, 0.2325516, 1.127106, 
    0.553581, 0, 0, 0.5881506, 1.909752, 1.805452, 1.716804, 1.641755, 
    1.568007, 1.472208, 1.30559, 0.4429648, 0, 0, 0.7491328, 1.576815, 
    1.677514, 1.762462, 1.83346, 1.891408, 1.960756, 2.033955, 2.104303, 
    2.158701, 2.188002, 2.216602, 2.250302, 2.283002, 2.312503, 2.339553, 
    2.363252, 2.382252, 2.396502, 2.408651, 2.419401, 2.428001, 2.433751, 
    2.438451, 2.4429, 2.44625, 2.44925, 2.4526, 2.45605, 2.4599, 2.463751, 
    2.468301, 2.473051, 2.478202, 2.482752, 2.486602, 2.490453, 2.493603, 
    2.495503, 2.496003, 2.494904, 2.492254, 2.489004, 2.484704, 2.478955, 
    2.472355, 2.465505, 2.458306, 2.451556, 2.445806,
  2.390511, 2.383861, 2.364913, 2.335615, 2.302767, 2.270968, 2.23752, 
    2.205571, 2.182773, 2.171524, 2.187473, 2.236421, 2.304269, 2.374217, 
    2.438765, 2.483263, 2.505762, 2.517762, 2.518862, 2.510562, 2.504263, 
    2.508463, 2.525013, 2.541863, 2.550261, 2.55551, 2.561808, 2.563806, 
    2.552505, 2.522654, 2.469653, 2.416653, 2.387004, 2.390955, 2.415007, 
    2.441159, 2.464261, 2.482111, 2.495262, 2.502963, 2.502262, 2.492811, 
    2.471759, 2.447958, 2.435507, 2.431807, 2.436757, 2.447307, 2.465008, 
    2.502658, 2.666609, 2.96476, 3.264508, 3.518756, 3.710254, 3.813703, 
    3.844003, 3.833703, 3.770903, 3.559703, 3.282754, 3.038008, 2.863311, 
    2.784815, 2.780017, 2.813018, 2.863918, 2.908817, 2.940516, 2.942815, 
    2.892914, 2.809562, 2.73651, 2.691458, 2.683909, 2.71476, 2.76176, 
    2.804211, 2.847413, 2.889716, 2.945769, 2.999723, 2.717224, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.039183, 2.086854, 
    2.086005, 2.085155, 2.084905, 2.083704, 2.081254, 2.074605, 2.065904, 
    2.055654, 2.030753, 1.927453, 1.764451, 1.59985, 1.449748, 1.301746, 
    1.146344, 1.005391, 0.9137396, 0.8994383, 1.01984, 1.195693, 1.379747, 
    1.5771, 1.799553, 2.015106, 2.19201, 2.315012, 2.379713, 2.415711, 
    2.433009, 2.434556, 2.415254, 2.377702, 1.760723, 1.157742, 1.157792, 
    1.172597, 1.790225, 1.565723, 1.221416, 1.610379, 2.502249, 2.531349, 
    2.560299, 2.573199, 2.5765, 0.7731, 0.1288992, 0.9022943, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.3593492, 3.577741, 3.521987, 3.471832, 3.40433, 3.311031, 3.204982, 
    3.099282, 2.990582, 2.897433, 2.828985, 2.773139, 2.720194, 2.686898, 
    2.674998, 2.669748, 2.670448, 2.678048, 2.689498, 2.701998, 2.714247, 
    2.729548, 2.743747, 2.755146, 2.764146, 2.767045, 2.762746, 2.752496, 
    2.739446, 2.725246, 2.706496, 2.682147, 2.648648, 2.608899, 2.57225, 
    2.5349, 2.493001, 2.452301, 1.216001, 0.8176377, 1.259256, 2.243055, 
    1.101752, 0, 0.1009614, 1.290681, 1.898002, 1.790352, 1.690855, 1.605657, 
    1.522758, 1.422008, 1.316908, 1.04284, 0.2861407, 0, 0.07507865, 
    0.9872569, 1.57927, 1.675868, 1.762965, 1.835962, 1.915259, 1.998407, 
    2.080305, 2.142804, 2.170004, 2.197905, 2.230355, 2.262355, 2.291255, 
    2.318055, 2.343654, 2.364205, 2.380004, 2.393004, 2.405304, 2.414954, 
    2.422254, 2.427804, 2.432904, 2.436754, 2.439753, 2.443103, 2.446003, 
    2.448604, 2.451254, 2.454254, 2.457055, 2.460105, 2.462505, 2.464906, 
    2.466556, 2.468306, 2.469006, 2.468307, 2.466307, 2.461957, 2.457257, 
    2.451157, 2.443458, 2.434758, 2.425509, 2.415909, 2.407059, 2.39936,
  2.329015, 2.317467, 2.289419, 2.250871, 2.209023, 2.168925, 2.126627, 
    2.086778, 2.05703, 2.041631, 2.06128, 2.119628, 2.198026, 2.278524, 
    2.353022, 2.40397, 2.43077, 2.444969, 2.446669, 2.435869, 2.425271, 
    2.426222, 2.441323, 2.460922, 2.474771, 2.487919, 2.503867, 2.515765, 
    2.512013, 2.488311, 2.43946, 2.387209, 2.35426, 2.351062, 2.365114, 
    2.382216, 2.398268, 2.411169, 2.421319, 2.427919, 2.430018, 2.426167, 
    2.414215, 2.398963, 2.391012, 2.388661, 2.393711, 2.403511, 2.419512, 
    2.454412, 2.614913, 2.908914, 3.211265, 3.472314, 3.670563, 3.777513, 
    3.808513, 3.797863, 3.734413, 3.522563, 3.243263, 2.988813, 2.798416, 
    2.705619, 2.691271, 2.719622, 2.771221, 2.82057, 2.856019, 2.863118, 
    2.820416, 2.749913, 2.687511, 2.649609, 2.641959, 2.666111, 2.708012, 
    2.745713, 2.780515, 2.807918, 2.843524, 2.872481, 2.58743, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1032026, 1.031577, 1.029528, 1.027479, 
    1.960558, 2.061906, 2.059507, 2.057807, 2.057457, 2.056857, 2.054757, 
    2.048807, 2.041956, 2.034405, 2.010505, 1.910654, 1.756852, 1.60095, 
    1.459997, 1.322545, 1.180441, 1.054937, 0.9747345, 0.966983, 1.083233, 
    1.243836, 1.41049, 1.591143, 1.797147, 1.996601, 2.155256, 2.267708, 
    2.329058, 2.367958, 2.396006, 2.411104, 2.403351, 2.018812, 0.5880195, 0, 
    0, 0, 0.6000251, 0.360015, 0, 0.3742716, 1.253074, 1.267681, 2.438707, 
    2.575949, 1.933045, 0.3867273, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1808329, 
    2.344177, 3.592983, 3.576074, 3.52392, 3.422222, 3.310474, 3.202925, 
    3.093225, 2.994326, 2.91273, 2.834285, 2.753492, 2.700147, 2.685748, 
    2.679048, 2.679498, 2.687848, 2.700497, 2.713847, 2.726747, 2.742847, 
    2.759746, 2.775245, 2.787944, 2.792194, 2.088815, 1.382284, 2.623608, 
    2.747444, 2.727745, 2.699996, 2.661196, 2.616998, 2.576748, 2.536149, 
    2.49115, 2.44885, 1.807228, 1.988138, 2.284803, 1.897303, 0.5482513, 0, 
    1.018225, 1.990152, 1.888002, 1.778502, 1.667305, 1.570008, 1.481759, 
    1.382308, 1.277658, 1.183557, 0.8418764, 0.1661238, 0.06477028, 
    0.8843485, 1.479521, 1.58622, 1.688467, 1.506437, 0.9456835, 1.676539, 
    2.050707, 2.115657, 2.141508, 2.167708, 2.198909, 2.230209, 2.258509, 
    2.285759, 2.312159, 2.333359, 2.350008, 2.363858, 2.377258, 2.387758, 
    2.396008, 2.402158, 2.407408, 2.411258, 2.414008, 2.416758, 2.418958, 
    2.420458, 2.422259, 2.424059, 2.425109, 2.426659, 2.42751, 2.42871, 
    2.42951, 2.43016, 2.43001, 2.428461, 2.425361, 2.420161, 2.414011, 
    2.406462, 2.396962, 2.386012, 2.374013, 2.362363, 2.351114, 2.341565,
  2.254022, 2.238273, 2.201475, 2.154427, 2.104529, 2.056381, 2.005733, 
    1.958635, 1.923037, 1.904588, 1.926587, 1.991935, 2.078284, 2.167082, 
    2.24893, 2.305379, 2.335278, 2.350828, 2.352078, 2.338829, 2.32403, 
    2.320431, 2.331733, 2.352683, 2.370781, 2.39028, 2.414828, 2.435226, 
    2.439274, 2.422672, 2.379771, 2.330069, 2.29502, 2.286221, 2.292173, 
    2.301724, 2.312526, 2.322276, 2.330926, 2.338026, 2.343275, 2.345373, 
    2.342721, 2.336769, 2.334267, 2.334216, 2.340215, 2.350665, 2.366515, 
    2.399865, 2.556566, 2.842169, 3.137022, 3.395824, 3.594575, 3.701725, 
    3.731776, 3.720876, 3.657576, 3.448124, 3.173522, 2.921321, 2.72487, 
    2.623522, 2.602273, 2.627224, 2.679474, 2.732973, 2.772022, 2.783422, 
    2.750319, 2.694414, 2.643261, 2.613459, 2.606959, 2.62361, 2.655764, 
    2.688615, 2.716517, 2.325237, 2.070636, 2.747931, 1.395704, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.035206, 2.058853, 2.052004, 2.045156, 
    2.039457, 2.033808, 2.029758, 2.027108, 2.026458, 2.026009, 2.024009, 
    2.019208, 2.014558, 2.010007, 1.986257, 1.890756, 1.746853, 1.601, 
    1.470747, 1.345394, 1.219089, 1.112084, 1.04498, 1.045078, 1.161278, 
    1.312679, 1.466482, 1.633935, 1.826688, 2.007643, 2.147498, 2.25095, 
    2.3105, 2.34885, 2.383499, 2.407997, 2.28826, 0.8330961, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.15747, 1.28919, 0.6445951, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.543441, 2.745224, 3.683523, 3.650318, 3.540419, 3.422721, 3.312371, 
    3.201271, 3.095124, 2.999228, 2.897733, 2.788691, 2.714546, 2.697996, 
    2.689847, 2.689597, 2.698647, 2.711997, 2.725697, 2.739697, 2.756646, 
    2.776495, 2.797044, 2.813443, 2.820342, 1.409996, 0, 2.510643, 2.774142, 
    2.753493, 2.722343, 2.679095, 2.630246, 2.586747, 2.542897, 2.495698, 
    2.452048, 2.402499, 2.3407, 2.27745, 1.56275, 0.5324646, 1.049537, 
    1.938495, 1.982001, 1.878753, 1.766754, 1.645306, 1.536858, 1.445509, 
    1.349958, 1.250005, 1.159105, 1.099506, 0.7085984, 0.6298818, 1.279374, 
    1.386025, 1.498974, 1.612921, 1.181963, 0, 1.358009, 2.011263, 2.078211, 
    2.101012, 2.125213, 2.154514, 2.184414, 2.212014, 2.239264, 2.266214, 
    2.288664, 2.306014, 2.320913, 2.334813, 2.345913, 2.354513, 2.361013, 
    2.366363, 2.369613, 2.372013, 2.374064, 2.375464, 2.376314, 2.377264, 
    2.377864, 2.378064, 2.378515, 2.378765, 2.379015, 2.379465, 2.379515, 
    2.379015, 2.376765, 2.372865, 2.366866, 2.359266, 2.350266, 2.338917, 
    2.325568, 2.311268, 2.297319, 2.283669, 2.27212,
  2.167028, 2.147779, 2.103481, 2.048784, 1.992285, 1.937187, 1.879189, 
    1.824791, 1.784543, 1.764243, 1.787793, 1.857342, 1.948291, 2.04274, 
    2.129389, 2.189488, 2.221288, 2.236988, 2.236988, 2.220939, 2.20229, 
    2.194491, 2.201542, 2.222443, 2.243792, 2.267941, 2.299339, 2.326887, 
    2.337785, 2.327333, 2.290731, 2.245729, 2.210029, 2.19778, 2.198182, 
    2.202333, 2.210034, 2.218434, 2.226584, 2.235133, 2.243532, 2.251931, 
    2.257828, 2.261225, 2.265273, 2.269671, 2.27822, 2.290769, 2.308269, 
    2.341518, 2.49317, 2.767224, 3.04753, 3.294235, 3.485438, 3.58979, 
    3.61829, 3.60794, 3.546938, 3.344835, 3.081281, 2.840476, 2.648124, 
    2.544823, 2.518774, 2.540326, 2.591326, 2.647426, 2.689025, 2.705073, 
    2.68352, 2.642416, 2.603012, 2.582859, 2.577458, 2.586111, 2.607014, 
    1.719877, 1.343423, 0.9417271, 1.325514, 1.736335, 0.1344324, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5316738, 1.050755, 1.965138, 2.046854, 
    2.034256, 2.022357, 2.012959, 2.004209, 1.99801, 1.994261, 1.993011, 
    1.992361, 1.990511, 1.98726, 1.98456, 1.982109, 1.958509, 1.867358, 
    1.733455, 1.598851, 1.479998, 1.368143, 1.259338, 1.173181, 1.122475, 
    1.133721, 1.25117, 1.398521, 1.545972, 1.707073, 1.891674, 2.05363, 
    2.176485, 2.269938, 2.327539, 2.366439, 2.404988, 2.434087, 1.211342, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.879988, 3.779922, 3.757371, 3.643172, 3.522972, 3.411872, 3.300272, 
    3.186174, 3.074729, 2.952085, 2.817992, 2.730295, 2.711246, 2.701646, 
    2.700696, 2.710296, 2.723996, 2.737696, 2.752246, 2.770296, 2.792995, 
    2.819543, 1.699142, 2.85079, 1.425745, 0.9979376, 2.682353, 2.80534, 
    2.78399, 2.749691, 2.702542, 2.649843, 2.602994, 2.556844, 2.506895, 
    2.462246, 2.411246, 2.348345, 2.171815, 0.7816791, 1.068748, 2.105996, 
    2.045048, 1.976052, 1.869003, 1.756352, 1.628603, 1.511056, 1.416258, 
    1.324607, 1.232854, 1.144504, 1.080005, 1.06906, 1.102068, 1.194275, 
    1.295527, 1.411476, 1.455373, 0.829551, 0.4177437, 1.323711, 1.960167, 
    2.026869, 2.045769, 2.069219, 2.09657, 2.12492, 2.15227, 2.179271, 
    2.20677, 2.23032, 2.24827, 2.26412, 2.278369, 2.289919, 2.298519, 
    2.305019, 2.30982, 2.31197, 2.313771, 2.315221, 2.316021, 2.316671, 
    2.317021, 2.317021, 2.317021, 2.317021, 2.317021, 2.317021, 2.317021, 
    2.317021, 2.316271, 2.313421, 2.308872, 2.302072, 2.293272, 2.282722, 
    2.269373, 2.253624, 2.237274, 2.220925, 2.205126, 2.190877,
  2.069036, 2.046637, 1.996888, 1.93594, 1.874042, 1.813194, 1.749146, 
    1.688597, 1.644548, 1.622899, 1.647299, 1.718299, 1.811048, 1.908348, 
    1.997797, 2.059297, 2.092047, 2.107297, 2.104998, 2.086049, 2.0638, 
    2.052402, 2.055203, 2.074404, 2.098053, 2.125902, 2.162001, 2.195749, 
    2.212297, 2.207845, 2.178242, 2.13979, 2.106288, 2.091689, 2.08864, 
    2.089241, 2.094792, 2.102442, 2.110642, 2.120242, 2.131791, 2.145789, 
    2.160336, 2.172833, 2.18453, 2.194828, 2.207726, 2.224324, 2.245772, 
    2.280172, 2.424575, 2.681782, 2.94129, 3.168947, 3.345953, 3.444006, 
    3.471806, 3.463205, 3.408452, 3.220646, 2.977037, 2.756529, 2.577172, 
    2.47817, 2.45027, 2.46927, 2.517571, 2.573422, 2.616272, 2.636021, 
    2.62287, 2.594915, 2.567261, 2.556059, 2.550009, 2.549763, 1.924706, 
    0.3893689, 0.1267623, 1.265225, 1.281264, 1.255472, 1.212461, 0.8289267, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3237761, 1.602128, 2.098753, 2.060503, 
    2.033005, 2.015007, 1.998758, 1.98511, 1.973461, 1.964762, 1.959562, 
    1.957512, 1.956213, 1.954763, 1.953312, 1.952561, 1.952061, 1.928261, 
    1.84111, 1.717506, 1.593902, 1.486248, 1.388044, 1.297488, 1.232431, 
    1.201224, 1.227768, 1.347717, 1.494367, 1.640966, 1.800866, 1.981667, 
    2.128221, 2.235976, 2.31748, 2.371831, 2.413331, 2.454979, 1.603689, 
    0.123135, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.9506565, 3.277279, 3.835329, 3.720778, 3.602726, 3.492726, 
    3.380826, 3.259678, 3.133982, 2.992888, 2.842691, 2.748393, 2.726494, 
    2.715445, 2.713696, 2.722646, 2.735746, 2.749546, 2.764796, 2.783795, 
    2.809244, 1.841034, 0.2853971, 1.869589, 2.167992, 2.44574, 2.859837, 
    2.841037, 2.818987, 2.782588, 2.731239, 2.67609, 2.62674, 2.579141, 
    2.526492, 2.480092, 2.429243, 2.365793, 2.074244, 0, 1.076247, 2.119245, 
    2.052797, 1.97275, 1.410813, 1.485085, 1.631944, 1.502649, 1.402251, 
    1.313051, 1.224101, 1.135802, 1.066005, 1.036112, 1.042821, 1.109581, 
    1.202534, 1.317885, 1.292581, 0.4891586, 1.238222, 1.530594, 1.89003, 
    1.956528, 1.976276, 1.999876, 2.025577, 2.052278, 2.079028, 2.106128, 
    2.134277, 2.158477, 2.177277, 2.193627, 2.208376, 2.220426, 2.228776, 
    2.235027, 2.238877, 2.240327, 2.241277, 2.242227, 2.242578, 2.243028, 
    2.243028, 2.243028, 2.243028, 2.243028, 2.243028, 2.243028, 2.243028, 
    2.243028, 2.242028, 2.238928, 2.233428, 2.225779, 2.215779, 2.203679, 
    2.18838, 2.170531, 2.151782, 2.133033, 2.115083, 2.098134,
  1.960544, 1.936044, 1.882845, 1.817896, 1.751798, 1.686399, 1.617251, 
    1.552702, 1.505553, 1.482553, 1.507204, 1.577504, 1.669305, 1.766706, 
    1.856356, 1.918456, 1.952055, 1.967805, 1.963455, 1.941307, 1.916308, 
    1.902158, 1.90081, 1.917261, 1.941311, 1.970961, 2.00956, 2.04696, 
    2.068558, 2.070555, 2.048702, 2.01745, 1.988548, 1.973647, 1.968598, 
    1.966649, 1.970549, 1.9776, 1.9857, 1.996049, 2.009799, 2.028097, 
    2.050345, 2.071292, 2.090289, 2.106837, 2.125285, 2.147682, 2.17453, 
    2.211179, 2.345083, 2.577345, 2.810806, 3.014866, 3.173124, 3.262877, 
    3.291327, 3.286525, 3.24187, 3.077959, 2.866044, 2.67618, 2.520419, 
    2.432863, 2.407511, 2.424512, 2.468614, 2.520966, 2.562767, 2.583567, 
    2.572817, 2.553415, 2.536261, 2.53031, 2.522311, 2.1417, 0.6329866, 0, 
    1.244087, 2.494679, 1.844051, 2.060696, 2.381585, 1.959818, 0.5538236, 0, 
    0, 0, 0, 0, 0, 0.3206031, 1.073174, 0.3233011, 0, 0.6465012, 2.135754, 
    2.089204, 2.048855, 2.017307, 1.995008, 1.97481, 1.956711, 1.941862, 
    1.931013, 1.924014, 1.920515, 1.918215, 1.917515, 1.917864, 1.919063, 
    1.920213, 1.895513, 1.812711, 1.699507, 1.586453, 1.489749, 1.404594, 
    1.331638, 1.28703, 1.275222, 1.318716, 1.443313, 1.592112, 1.74146, 
    1.903059, 2.082709, 2.217213, 2.312468, 2.383571, 2.434722, 2.479221, 
    1.878967, 0.3757389, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4733355, 0.7888926, 0, 0, 0, 0, 2.746087, 3.89223, 3.77898, 
    3.665478, 3.559676, 3.451023, 3.322976, 3.184731, 3.030734, 2.872287, 
    2.772489, 2.747241, 2.733892, 2.730243, 2.737544, 2.748994, 2.762894, 
    2.778744, 2.797945, 2.826493, 0.8530475, 0, 0.4359351, 2.188051, 
    2.915984, 2.900233, 2.880384, 2.857984, 2.820185, 2.765885, 2.709136, 
    2.657737, 2.607388, 2.55179, 2.506038, 2.455738, 2.391088, 2.09554, 0, 
    1.086995, 2.137941, 1.963422, 0.987159, 0.4788682, 0.6091183, 0.8981716, 
    1.510146, 1.402249, 1.314298, 1.227246, 1.142343, 1.067494, 1.017851, 
    0.9982108, 1.03932, 1.119776, 1.229979, 1.213327, 0.4644094, 1.599032, 
    1.711634, 1.800336, 1.871035, 1.895283, 1.919533, 1.943084, 1.967335, 
    1.992786, 2.019286, 2.048186, 2.072786, 2.092785, 2.109635, 2.124885, 
    2.137434, 2.145785, 2.151685, 2.154935, 2.156185, 2.156535, 2.157235, 
    2.157535, 2.157535, 2.157535, 2.157535, 2.157535, 2.157535, 2.157535, 
    2.157535, 2.157535, 2.157535, 2.156535, 2.153085, 2.146886, 2.137986, 
    2.126786, 2.113487, 2.095937, 2.075939, 2.054789, 2.03364, 2.013541, 
    1.994042,
  1.843052, 1.817502, 1.762352, 1.695303, 1.626554, 1.558505, 1.486305, 
    1.419106, 1.369807, 1.346057, 1.369558, 1.43661, 1.525061, 1.619813, 
    1.708014, 1.770764, 1.806063, 1.823512, 1.818862, 1.795012, 1.769062, 
    1.753612, 1.749363, 1.762864, 1.784815, 1.814116, 1.852617, 1.891366, 
    1.916565, 1.923913, 1.90971, 1.886107, 1.863054, 1.849453, 1.842204, 
    1.838705, 1.841056, 1.846906, 1.854756, 1.865556, 1.880306, 1.901355, 
    1.928554, 1.956801, 1.981549, 2.004196, 2.028394, 2.057191, 2.089789, 
    2.129387, 2.249044, 2.450708, 2.654821, 2.833032, 2.97139, 3.053543, 
    3.084841, 3.086388, 3.054931, 2.925315, 2.754047, 2.60203, 2.479165, 
    2.412054, 2.39375, 2.40905, 2.448652, 2.497353, 2.537253, 2.557903, 
    2.546903, 2.528955, 2.514256, 2.50586, 2.370467, 0.8764427, 0, 0.8515272, 
    2.326523, 2.421031, 2.390033, 2.352034, 2.297583, 2.223432, 1.612572, 
    1.021683, 0.1985814, 0.6819212, 0, 0.7074495, 1.02513, 1.365386, 
    2.135261, 1.394665, 1.077885, 1.396862, 2.124006, 2.077705, 2.035256, 
    1.999907, 1.974259, 1.95036, 1.929111, 1.910763, 1.897514, 1.888465, 
    1.883115, 1.880515, 1.881015, 1.882565, 1.885464, 1.887364, 1.862264, 
    1.784312, 1.681058, 1.578653, 1.492748, 1.419794, 1.362887, 1.337979, 
    1.345221, 1.405314, 1.536811, 1.689809, 1.843957, 2.009655, 2.190953, 
    2.321652, 2.406955, 2.470558, 2.521007, 2.172143, 0.6365394, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.12964, 1.808569, 
    2.273161, 1.624521, 1.761904, 1.858922, 1.936106, 3.370035, 3.94188, 
    3.82868, 3.720478, 3.621025, 3.517473, 3.385923, 3.237477, 3.075729, 
    2.910932, 2.806283, 2.776736, 2.759787, 2.752739, 2.756641, 2.765243, 
    2.778044, 2.793694, 2.812444, 2.126102, 0.4284631, 0, 0, 1.481492, 
    2.956334, 2.940634, 2.919734, 2.897234, 2.859683, 2.806182, 2.748482, 
    2.694983, 2.641134, 2.583634, 2.540584, 2.491233, 2.422637, 2.118991, 0, 
    1.096747, 2.154296, 1.871348, 0, 0, 0, 0.07736556, 0.9794055, 1.416989, 
    1.328989, 1.246388, 1.167886, 1.090737, 1.024793, 0.9815024, 0.9972135, 
    1.060522, 1.161277, 0.7143938, 0.6944942, 1.159587, 1.621039, 1.704392, 
    1.777591, 1.80504, 1.83004, 1.850691, 1.872092, 1.895293, 1.920594, 
    1.949244, 1.974444, 1.995044, 2.012494, 2.028344, 2.041094, 2.050043, 
    2.055843, 2.058893, 2.059694, 2.060043, 2.060394, 2.060544, 2.060544, 
    2.060544, 2.060544, 2.060544, 2.060544, 2.060544, 2.060544, 2.060544, 
    2.060544, 2.059544, 2.055744, 2.048844, 2.038695, 2.026545, 2.011945, 
    1.992396, 1.969847, 1.946548, 1.923249, 1.90105, 1.879451,
  1.725053, 1.698803, 1.642853, 1.575153, 1.505304, 1.435804, 1.362205, 
    1.292806, 1.242306, 1.217357, 1.237909, 1.299762, 1.382815, 1.472517, 
    1.55767, 1.62052, 1.658319, 1.677567, 1.674966, 1.654113, 1.629812, 
    1.613562, 1.607213, 1.616815, 1.635817, 1.663567, 1.699669, 1.736721, 
    1.762571, 1.77407, 1.767266, 1.752062, 1.736059, 1.724258, 1.715658, 
    1.710409, 1.71081, 1.714361, 1.720813, 1.731213, 1.746313, 1.768413, 
    1.798762, 1.832659, 1.863057, 1.891704, 1.92285, 1.958197, 1.996794, 
    2.040991, 2.141001, 2.309468, 2.482583, 2.635394, 2.75705, 2.834302, 
    2.870349, 2.879796, 2.862339, 2.775818, 2.651044, 2.539575, 2.45131, 
    2.405702, 2.396498, 2.412497, 2.449747, 2.497047, 2.535498, 2.554699, 
    2.54275, 2.522201, 2.503503, 2.487956, 1.24097, 0, 0, 0.8530404, 
    2.267939, 2.351681, 2.315783, 2.276034, 2.223583, 2.152331, 2.086778, 
    2.018425, 1.166586, 1.647588, 0.9783418, 1.703733, 2.04101, 2.07981, 
    2.11226, 2.133859, 2.149108, 2.142507, 2.109757, 2.063358, 2.018759, 
    1.98066, 1.951761, 1.924613, 1.900564, 1.879315, 1.864266, 1.854116, 
    1.848615, 1.846165, 1.847265, 1.849415, 1.852965, 1.855514, 1.833012, 
    1.763257, 1.670551, 1.578547, 1.502992, 1.441787, 1.39958, 1.392322, 
    1.416715, 1.488712, 1.624911, 1.782659, 1.942206, 2.112954, 2.298801, 
    2.433699, 2.511951, 2.571302, 2.489076, 0.9143472, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2512077, 2.582283, 
    2.877834, 3.200647, 3.525851, 3.738284, 3.904223, 4.012068, 4.000968, 
    3.885619, 3.779969, 3.684119, 3.582419, 3.450219, 3.29747, 3.131421, 
    2.961473, 2.852075, 2.817728, 2.79598, 2.783633, 2.781437, 2.785989, 
    2.79649, 2.810292, 2.828292, 1.419746, 0, 0, 0, 1.499242, 2.992534, 
    2.976684, 2.955734, 2.933484, 2.898283, 2.84903, 2.793478, 2.738728, 
    2.683278, 2.625379, 2.584527, 2.533479, 2.457233, 2.143437, 0, 1.103747, 
    1.412643, 0.9375687, 0, 0, 0, 0, 0.4477446, 1.449482, 1.360632, 1.279832, 
    1.202733, 1.122735, 1.046238, 0.9818471, 0.9745062, 1.025009, 0.7220286, 
    0.6093162, 0.4690847, 0.7460144, 1.538933, 1.611241, 1.684692, 1.713042, 
    1.735794, 1.752696, 1.770348, 1.790799, 1.814051, 1.841401, 1.866802, 
    1.887052, 1.904852, 1.920852, 1.933602, 1.942303, 1.947853, 1.951302, 
    1.951702, 1.952053, 1.952053, 1.952053, 1.952053, 1.952053, 1.952053, 
    1.952053, 1.952053, 1.952053, 1.952053, 1.952053, 1.952053, 1.951053, 
    1.947253, 1.939853, 1.929053, 1.916303, 1.900753, 1.880803, 1.857053, 
    1.832303, 1.807903, 1.784653, 1.762653,
  1.615053, 1.589153, 1.533402, 1.467351, 1.402046, 1.336391, 1.266137, 
    1.199383, 1.149782, 1.123283, 1.140234, 1.195788, 1.269544, 1.348552, 
    1.423909, 1.480765, 1.516319, 1.536469, 1.537967, 1.521665, 1.500563, 
    1.484362, 1.476513, 1.482864, 1.500064, 1.524966, 1.557069, 1.589321, 
    1.613572, 1.627672, 1.627769, 1.620665, 1.611062, 1.600762, 1.592062, 
    1.585312, 1.583063, 1.583615, 1.587417, 1.596717, 1.611817, 1.634267, 
    1.666816, 1.704215, 1.740062, 1.775559, 1.814755, 1.857201, 1.901548, 
    1.951496, 2.029606, 2.163373, 2.306338, 2.437048, 2.547053, 2.622203, 
    2.663101, 2.680897, 2.677639, 2.637616, 2.561042, 2.489723, 2.431808, 
    2.402401, 2.401248, 2.418997, 2.456097, 2.501598, 2.537999, 2.553752, 
    2.540153, 2.517603, 1.87613, 1.242, 0.1239748, 0, 0, 0, 2.099419, 
    2.295973, 2.256024, 2.214675, 2.167471, 2.102467, 2.041515, 1.979163, 
    1.931056, 1.926005, 1.955004, 1.989602, 2.028751, 2.066203, 2.096506, 
    2.116657, 2.132558, 2.126508, 2.093509, 2.046159, 1.99976, 1.959561, 
    1.927762, 1.897713, 1.870265, 1.847815, 1.832765, 1.822615, 1.817615, 
    1.815665, 1.817014, 1.819414, 1.823414, 1.826014, 1.806014, 1.745061, 
    1.663556, 1.58245, 1.516994, 1.467289, 1.438782, 1.447275, 1.48472, 
    1.564865, 1.703114, 1.864363, 2.02871, 2.204957, 2.396105, 2.536153, 
    2.610703, 2.670552, 2.455251, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1215723, 1.247856, 1.394904, 1.576286, 
    3.373802, 3.779426, 3.968464, 4.091005, 4.080206, 3.959709, 3.851461, 
    3.754413, 3.651864, 3.518115, 3.363716, 3.196716, 3.024765, 2.911017, 
    2.87172, 2.843973, 2.824527, 2.814281, 2.813235, 2.820237, 2.830838, 
    2.417023, 0.7127172, 0, 0, 0, 1.515492, 3.025384, 3.010083, 2.989034, 
    2.967983, 2.936081, 2.892078, 2.841576, 2.788474, 2.733273, 2.675273, 
    2.637372, 2.584221, 2.503422, 2.180327, 0, 0.5543078, 0.3325847, 0, 0, 0, 
    0, 0, 0.4594441, 1.48848, 1.39963, 1.317232, 1.238033, 1.157482, 
    1.075184, 0.9949898, 0.968749, 1.014251, 0.3132003, 0.4852884, 0.2001981, 
    1.050927, 1.47338, 1.530887, 1.598492, 1.625793, 1.642946, 1.655148, 
    1.668451, 1.685053, 1.705155, 1.730406, 1.754008, 1.773058, 1.78966, 
    1.80486, 1.816811, 1.824561, 1.829862, 1.833262, 1.833063, 1.833062, 
    1.833062, 1.833062, 1.832913, 1.832563, 1.832563, 1.832563, 1.832563, 
    1.832563, 1.832563, 1.832563, 1.832563, 1.831563, 1.827763, 1.820862, 
    1.810712, 1.798311, 1.78346, 1.76436, 1.741859, 1.718307, 1.695106, 
    1.672705, 1.651804,
  1.515051, 1.49055, 1.437198, 1.377593, 1.321538, 1.264434, 1.202179, 
    1.143375, 1.098271, 1.07277, 1.086022, 1.133277, 1.193036, 1.255945, 
    1.316153, 1.361659, 1.390063, 1.407616, 1.411516, 1.399363, 1.38256, 
    1.368209, 1.359959, 1.365509, 1.382059, 1.40351, 1.430514, 1.457266, 
    1.478319, 1.492719, 1.498317, 1.497864, 1.491813, 1.482962, 1.474611, 
    1.468011, 1.464561, 1.46356, 1.465461, 1.473562, 1.488312, 1.510762, 
    1.544262, 1.582812, 1.621811, 1.66186, 1.706359, 1.755056, 1.804553, 
    1.859301, 1.9283, 2.034461, 2.152323, 2.26668, 2.369932, 2.445581, 
    2.491578, 2.517623, 2.527418, 2.518659, 2.483289, 2.447222, 2.413661, 
    2.397854, 2.403001, 2.422849, 2.4598, 2.501702, 2.534504, 2.545607, 
    2.405444, 1.258518, 0.6259302, 0, 0, 0, 0, 0, 2.076155, 2.266557, 
    2.223509, 2.18081, 2.13741, 2.07716, 2.017261, 1.95771, 1.917208, 
    1.915606, 1.946755, 1.983504, 2.024304, 2.058006, 2.084008, 2.101958, 
    2.117857, 2.110508, 2.077259, 2.028959, 1.980311, 1.937962, 1.903763, 
    1.871664, 1.842414, 1.819814, 1.805014, 1.795464, 1.790664, 1.789313, 
    1.791013, 1.793413, 1.797414, 1.800013, 1.781511, 1.727657, 1.657001, 
    1.586496, 1.530991, 1.491236, 1.47483, 1.495525, 1.541471, 1.62767, 
    1.767169, 1.929919, 2.098717, 2.280114, 2.476761, 2.622008, 2.697206, 
    2.762602, 2.547852, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7915379, 0, 0, 0, 1.612953, 2.500219, 4.036215, 
    4.174008, 4.165056, 4.03671, 3.924213, 3.823615, 3.718417, 3.583317, 
    3.428216, 3.263314, 3.095411, 2.980809, 2.936462, 2.902266, 2.87442, 
    2.854826, 2.846481, 2.848284, 2.855286, 2.004441, 0, 0, 0, 0, 1.531242, 
    3.057233, 3.042133, 3.021832, 3.002481, 2.974029, 2.935127, 2.890273, 
    2.84172, 2.788968, 2.731468, 2.695218, 2.641968, 2.561067, 2.228872, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.4697951, 1.522734, 1.434334, 1.348336, 1.267087, 
    1.190234, 1.107432, 1.018086, 0.9767923, 0.7532828, 0.1566202, 0.5304722, 
    0.827735, 1.350773, 1.416579, 1.462285, 1.519691, 1.544542, 1.555745, 
    1.563148, 1.5724, 1.585052, 1.601903, 1.624355, 1.645056, 1.662058, 
    1.676609, 1.690359, 1.70101, 1.708061, 1.713011, 1.715361, 1.715061, 
    1.715061, 1.714711, 1.714561, 1.714261, 1.713561, 1.713561, 1.713112, 
    1.713062, 1.713062, 1.713062, 1.713062, 1.713062, 1.712062, 1.708612, 
    1.702411, 1.693511, 1.68231, 1.669009, 1.651408, 1.630957, 1.610056, 
    1.589155, 1.569103, 1.549752,
  1.427048, 1.404297, 1.356992, 1.307336, 1.260281, 1.211476, 1.157221, 
    1.106217, 1.066514, 1.044662, 1.053614, 1.088723, 1.132282, 1.178992, 
    1.2248, 1.259356, 1.28106, 1.294362, 1.297962, 1.291209, 1.279805, 
    1.269452, 1.26295, 1.269499, 1.2853, 1.303902, 1.325055, 1.345759, 
    1.361812, 1.374364, 1.382813, 1.386112, 1.38256, 1.375509, 1.368608, 
    1.363157, 1.360057, 1.359057, 1.360357, 1.366609, 1.38006, 1.401911, 
    1.435311, 1.47431, 1.513811, 1.555759, 1.602908, 1.655107, 1.708805, 
    1.767403, 1.8396, 1.929657, 2.030814, 2.134768, 2.23432, 2.312619, 
    2.364065, 2.39836, 2.417456, 2.423348, 2.418035, 2.408173, 2.393312, 
    2.389356, 2.399503, 2.421552, 2.457653, 2.496005, 2.524008, 1.649691, 
    1.137829, 0, 0, 0, 0, 0, 0, 0, 2.064908, 2.253907, 2.209007, 2.162711, 
    2.115865, 2.052968, 1.993267, 1.935665, 1.899911, 1.904207, 1.936506, 
    1.974057, 2.015656, 2.048056, 2.072505, 2.090305, 2.105357, 2.096707, 
    2.062508, 2.012909, 1.96181, 1.916862, 1.880763, 1.847813, 1.818413, 
    1.795813, 1.781013, 1.771813, 1.767662, 1.766812, 1.768512, 1.770912, 
    1.774512, 1.777662, 1.762011, 1.714857, 1.653403, 1.591449, 1.543745, 
    1.511441, 1.503638, 1.530436, 1.580485, 1.667986, 1.806787, 1.970536, 
    2.142735, 2.328582, 2.530529, 2.678479, 2.757726, 2.831721, 2.619418, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3840505, 
    0.824385, 0.8781771, 0, 0, 0, 0, 0.5978482, 2.036628, 2.108813, 4.007732, 
    4.086634, 3.973233, 3.872431, 3.767029, 3.633427, 3.481224, 3.323418, 
    3.16616, 3.056605, 3.006958, 2.966062, 2.929367, 2.900223, 2.883977, 
    2.88033, 2.883282, 2.021939, 0, 0, 0, 0, 1.545992, 3.086035, 3.071334, 
    3.053782, 3.036231, 3.010979, 2.975728, 2.935476, 2.891973, 2.843221, 
    2.788618, 2.751419, 2.697969, 2.617569, 2.275725, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.481941, 1.562221, 1.471074, 1.382625, 1.298228, 1.224477, 1.145475, 
    1.049628, 0.9971344, 0.4969953, 0, 1.05311, 1.240118, 1.307775, 1.362481, 
    1.398986, 1.446142, 1.467794, 1.475795, 1.479147, 1.484649, 1.4948, 
    1.509151, 1.528453, 1.546954, 1.561805, 1.574906, 1.586907, 1.596358, 
    1.602808, 1.606809, 1.608859, 1.608559, 1.608559, 1.607859, 1.60711, 
    1.60676, 1.60606, 1.60571, 1.60511, 1.60506, 1.60481, 1.60456, 1.60456, 
    1.60456, 1.60381, 1.60096, 1.595409, 1.587309, 1.577308, 1.565557, 
    1.549906, 1.531555, 1.513053, 1.494552, 1.476601, 1.4592,
  1.351044, 1.33214, 1.294483, 1.255077, 1.216772, 1.176366, 1.130111, 
    1.085408, 1.050255, 1.030855, 1.03361, 1.054468, 1.082528, 1.113737, 
    1.145097, 1.169552, 1.185556, 1.195957, 1.199357, 1.198004, 1.193299, 
    1.188945, 1.18779, 1.196988, 1.212038, 1.22779, 1.243443, 1.257248, 
    1.267551, 1.276804, 1.285354, 1.290353, 1.289552, 1.28455, 1.279599, 
    1.275648, 1.272798, 1.271698, 1.2717, 1.274852, 1.285304, 1.304857, 
    1.336908, 1.375809, 1.415808, 1.458958, 1.505909, 1.557611, 1.611563, 
    1.671114, 1.746013, 1.830813, 1.921818, 2.018772, 2.116372, 2.200417, 
    2.259561, 2.303654, 2.334194, 2.350589, 2.362782, 2.371821, 2.373012, 
    2.379855, 2.394752, 1.571063, 1.229086, 1.247509, 1.260325, 0.3795243, 0, 
    0, 0, 0, 0.1205989, 1.201795, 1.185016, 1.168236, 2.17765, 2.249099, 
    2.200753, 2.147508, 2.091665, 2.023668, 1.964269, 1.910115, 1.881411, 
    1.891858, 1.924009, 1.961758, 2.004208, 2.037557, 2.062257, 2.080307, 
    2.093058, 2.083259, 2.048759, 2.000256, 1.948206, 1.900907, 1.863758, 
    1.831157, 1.802406, 1.780455, 1.766504, 1.757804, 1.754104, 1.753304, 
    1.754754, 1.756555, 1.759955, 1.762656, 1.749005, 1.706652, 1.6509, 
    1.594648, 1.551496, 1.523394, 1.519393, 1.546644, 1.595747, 1.6802, 
    1.816003, 1.980003, 2.154502, 2.34405, 2.550597, 2.699246, 2.783993, 
    2.867687, 2.815089, 1.073855, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.2076399, 1.103331, 1.62653, 0.1674531, 0, 0, 0, 0, 0, 0, 
    0, 2.111826, 4.087915, 3.978512, 3.883457, 3.784101, 3.656945, 3.512239, 
    3.367879, 3.228914, 3.131454, 3.078705, 3.03051, 2.984366, 2.945323, 
    2.920978, 2.912032, 2.764368, 1.016971, 0, 0, 0, 0, 0.7774715, 1.551439, 
    2.941679, 3.083382, 3.06823, 3.046428, 3.014226, 2.977174, 2.938221, 
    2.894018, 2.844365, 2.386441, 1.363954, 1.323704, 1.149837, 0, 0, 0, 0, 
    0, 0, 0, 0.08893859, 1.118612, 1.606476, 1.508381, 1.416884, 1.329235, 
    1.258482, 1.185977, 1.088275, 1.025131, 0.5057441, 0, 1.037309, 1.211267, 
    1.267273, 1.31173, 1.339685, 1.377091, 1.395793, 1.402594, 1.403644, 
    1.406545, 1.414547, 1.427098, 1.443999, 1.46065, 1.474051, 1.485702, 
    1.495953, 1.504203, 1.509804, 1.512954, 1.514855, 1.514405, 1.513805, 
    1.512856, 1.512055, 1.511256, 1.510306, 1.509356, 1.509006, 1.508557, 
    1.508057, 1.507557, 1.507557, 1.507557, 1.507057, 1.504457, 1.499856, 
    1.492605, 1.483805, 1.473604, 1.459952, 1.444001, 1.42755, 1.411448, 
    1.395597, 1.380146,
  1.288537, 1.274883, 1.247927, 1.21882, 1.189264, 1.156909, 1.118404, 
    1.07895, 1.047248, 1.027799, 1.023204, 1.030662, 1.044521, 1.060831, 
    1.078389, 1.093695, 1.105298, 1.113749, 1.118048, 1.121295, 1.123541, 
    1.126136, 1.132431, 1.144779, 1.159779, 1.172681, 1.183783, 1.191237, 
    1.195791, 1.201393, 1.208545, 1.214794, 1.216043, 1.213441, 1.21059, 
    1.208289, 1.205788, 1.20364, 1.200642, 1.199795, 1.205549, 1.220402, 
    1.248506, 1.285009, 1.323561, 1.364565, 1.407468, 1.455221, 1.505824, 
    1.562726, 1.637378, 1.725024, 1.813572, 1.907722, 2.007918, 2.10196, 
    2.171303, 2.227345, 2.273434, 2.301873, 2.322519, 2.343864, 2.359205, 
    2.018128, 1.198096, 0.3607806, 0, 0, 0, 0, 0, 0, 0, 0, 1.213801, 
    2.407499, 2.377993, 2.34674, 2.304641, 2.254644, 2.196502, 2.131363, 
    2.063073, 1.992373, 1.933521, 1.886565, 1.874747, 1.902477, 1.935226, 
    1.973925, 2.017674, 2.051723, 2.075974, 2.093925, 2.10153, 2.078996, 
    2.036757, 1.991355, 1.941153, 1.894401, 1.857999, 1.827198, 1.800346, 
    1.779745, 1.767244, 1.759644, 1.756043, 1.754644, 1.754995, 1.755696, 
    1.757947, 1.759198, 1.745749, 1.706048, 1.652448, 1.598597, 1.556997, 
    1.529748, 1.52475, 1.548454, 1.593007, 1.671162, 1.801716, 1.964018, 
    2.139518, 2.331117, 2.540367, 2.690166, 2.780263, 2.871759, 2.980554, 
    2.149351, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4047148, 1.389066, 1.514867, 0.1551631, 0, 0, 0, 0, 0, 0, 0, 0.2054738, 
    2.040468, 2.954855, 3.85493, 3.767521, 3.651512, 3.519252, 3.393988, 
    3.27972, 3.200556, 3.148205, 3.094458, 3.038364, 2.98937, 2.958473, 
    2.944376, 2.642983, 0, 0, 0, 0, 0, 0, 0, 1.556958, 3.109983, 3.096983, 
    3.077682, 3.048181, 3.013729, 2.978727, 2.938825, 2.893322, 2.008281, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9329916, 1.76388, 1.637734, 1.53154, 
    1.434943, 1.344396, 1.276995, 1.21239, 1.118337, 1.046891, 0.5139953, 0, 
    1.025157, 1.187064, 1.232272, 1.266279, 1.285635, 1.315988, 1.332539, 
    1.33789, 1.337641, 1.339241, 1.345792, 1.356892, 1.372493, 1.387844, 
    1.399795, 1.409646, 1.418447, 1.425398, 1.430049, 1.432949, 1.433949, 
    1.4334, 1.432549, 1.431, 1.430001, 1.428751, 1.427551, 1.426351, 
    1.425501, 1.424402, 1.423802, 1.423202, 1.423052, 1.423052, 1.422552, 
    1.419952, 1.415902, 1.409751, 1.402051, 1.3933, 1.381449, 1.367597, 
    1.353545, 1.339494, 1.326043, 1.312741,
  1.24003, 1.231626, 1.21397, 1.194564, 1.173508, 1.148952, 1.117747, 
    1.083194, 1.053493, 1.032195, 1.020001, 1.016158, 1.017516, 1.020974, 
    1.027081, 1.034636, 1.042788, 1.050588, 1.056686, 1.063983, 1.07153, 
    1.080127, 1.092673, 1.107921, 1.122522, 1.132924, 1.139727, 1.14203, 
    1.142282, 1.145333, 1.152133, 1.159732, 1.16303, 1.162828, 1.162027, 
    1.160926, 1.158027, 1.153729, 1.146133, 1.139787, 1.139542, 1.148396, 
    1.170601, 1.202305, 1.235809, 1.271763, 1.308967, 1.351172, 1.397575, 
    1.450628, 1.521731, 1.610433, 1.702581, 1.801724, 1.910167, 2.015659, 
    2.09605, 2.165241, 2.228528, 2.274963, 2.304505, 2.330554, 1.295754, 
    0.8310266, 0, 0, 0, 0.3659305, 1.216773, 1.206437, 0.1203292, 0, 0, 0, 
    1.217379, 2.418885, 2.398228, 2.370926, 2.328476, 2.274678, 2.205734, 
    2.125244, 2.043304, 1.968709, 1.912757, 1.881641, 1.034097, 0.9612609, 
    0.9781348, 1.762527, 2.130268, 2.162371, 2.183125, 2.195483, 2.186151, 
    2.129233, 2.058711, 1.994839, 1.942745, 1.899991, 1.866239, 1.838087, 
    1.813386, 1.795033, 1.783733, 1.777332, 1.773532, 1.771332, 1.770233, 
    1.769135, 1.768937, 1.76744, 1.752242, 1.712193, 1.656946, 1.601149, 
    1.557752, 1.528005, 1.51771, 1.534666, 1.572771, 1.644126, 1.769379, 
    1.929231, 2.104031, 2.295282, 2.504084, 2.655782, 2.74928, 2.845228, 
    2.958277, 2.13432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.06196203, 0.8166993, 1.29032, 0.9004978, 0.072753, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.9703737, 1.918666, 3.536256, 3.624376, 3.511009, 3.408842, 
    3.321872, 3.26181, 3.211209, 3.153961, 3.090415, 3.034817, 2.998971, 
    2.979226, 2.668332, 0, 0, 0, 0, 0, 0, 0, 0.1564715, 2.033695, 3.122482, 
    3.104731, 3.077229, 3.045776, 3.014973, 2.97892, 2.937567, 2.040126, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.6731443, 1.706826, 0.8905608, 1.231843, 
    1.55323, 1.451384, 1.355489, 1.288989, 1.230186, 1.140283, 1.063237, 
    0.7881157, 0.1596733, 1.018052, 1.16951, 1.204516, 1.228323, 1.240527, 
    1.264883, 1.278535, 1.282037, 1.281586, 1.282736, 1.289036, 1.299536, 
    1.314037, 1.328388, 1.338789, 1.34709, 1.35444, 1.360091, 1.364042, 
    1.366592, 1.366943, 1.365893, 1.364794, 1.362993, 1.361094, 1.359594, 
    1.358045, 1.356495, 1.355045, 1.353745, 1.353045, 1.352345, 1.351596, 
    1.351546, 1.350796, 1.348296, 1.344446, 1.338896, 1.332045, 1.324495, 
    1.314443, 1.302692, 1.29104, 1.279039, 1.267987, 1.256985,
  1.202026, 1.198173, 1.188967, 1.178011, 1.164505, 1.146801, 1.122146, 
    1.092592, 1.06499, 1.040543, 1.020948, 1.008254, 1.00001, 0.9938657, 
    0.991221, 0.9927253, 0.9982767, 1.006277, 1.015174, 1.025872, 1.037019, 
    1.048868, 1.064567, 1.081118, 1.09402, 1.101672, 1.104225, 1.102428, 
    1.100529, 1.103877, 1.113074, 1.123122, 1.130018, 1.133065, 1.134413, 
    1.133913, 1.130013, 1.122616, 1.109071, 1.095477, 1.088033, 1.089689, 
    1.104695, 1.130599, 1.158553, 1.188259, 1.219014, 1.255318, 1.296572, 
    1.345176, 1.41143, 1.497631, 1.591831, 1.699325, 1.817668, 1.933361, 
    2.025303, 2.107793, 2.189679, 2.255166, 1.718876, 1.165799, 0.1169254, 0, 
    0, 0, 0.1207184, 1.571938, 2.414534, 2.389241, 1.288224, 1.16969, 
    0.5888639, 0, 1.22008, 2.441232, 2.429476, 2.406172, 2.36522, 2.309271, 
    2.233725, 2.140683, 2.04729, 1.96884, 1.92098, 1.918254, 0.1922447, 0, 
    0.5941061, 1.968792, 2.338627, 2.364533, 2.376092, 2.371909, 2.332036, 
    2.230669, 2.120198, 2.017078, 1.957833, 1.91938, 1.889227, 1.863975, 
    1.841872, 1.826121, 1.816469, 1.810669, 1.806569, 1.80387, 1.800971, 
    1.797373, 1.793826, 1.787431, 1.767486, 1.72339, 1.662895, 1.601151, 
    1.552007, 1.515813, 1.496671, 1.50378, 1.534286, 1.600139, 1.720643, 
    1.878943, 2.052295, 2.241746, 2.448548, 2.602447, 2.697296, 2.794946, 
    2.906549, 2.095487, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6206529, 1.241999, 1.241999, 0.3725996, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.841025, 3.584832, 3.503751, 3.426532, 3.364965, 3.317559, 
    3.268708, 3.209707, 3.141511, 3.081614, 3.039969, 3.013025, 2.691134, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.4717076, 2.356921, 3.130631, 3.106228, 3.078626, 
    3.053221, 3.022217, 2.986312, 2.075822, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.350646, 1.726546, 0, 0.4071108, 1.330307, 1.471138, 1.368792, 1.302492, 
    1.248088, 1.160438, 1.081037, 1.064243, 0.7038721, 1.067972, 1.155112, 
    1.180269, 1.194926, 1.201779, 1.220133, 1.231034, 1.233534, 1.233634, 
    1.235732, 1.242032, 1.252882, 1.267531, 1.28173, 1.291281, 1.298032, 
    1.304382, 1.308783, 1.311535, 1.313235, 1.313435, 1.312086, 1.310286, 
    1.308486, 1.306086, 1.303937, 1.301787, 1.299987, 1.298087, 1.296737, 
    1.295788, 1.294838, 1.293588, 1.292889, 1.29154, 1.28914, 1.28544, 
    1.28004, 1.273789, 1.266839, 1.258438, 1.248637, 1.239035, 1.229434, 
    1.220432, 1.211381,
  1.172021, 1.171668, 1.169414, 1.165009, 1.157506, 1.145451, 1.126597, 
    1.101843, 1.076242, 1.049943, 1.024846, 1.005251, 0.9907544, 0.978358, 
    0.9698617, 0.9676132, 0.9717639, 0.980463, 0.9921611, 1.005809, 1.019008, 
    1.032207, 1.047908, 1.062511, 1.072763, 1.077066, 1.07532, 1.070472, 
    1.068271, 1.073769, 1.087016, 1.101312, 1.113008, 1.120155, 1.124252, 
    1.124252, 1.119003, 1.107107, 1.086514, 1.065169, 1.050275, 1.044131, 
    1.051287, 1.070893, 1.093547, 1.116552, 1.141056, 1.171811, 1.207316, 
    1.25052, 1.311175, 1.393929, 1.48758, 1.600128, 1.725724, 1.850117, 
    1.95206, 2.0477, 2.148035, 1.895406, 0.5684013, 0, 0, 0, 0, 0, 0.2399529, 
    2.394131, 2.369536, 2.338637, 2.318132, 2.326476, 1.172511, 0, 1.22505, 
    2.463134, 2.459478, 2.441473, 2.403521, 2.347769, 2.269719, 2.169622, 
    1.969634, 0.9892185, 1.467742, 1.994577, 1.190418, 1.191555, 1.873163, 
    2.537343, 2.585291, 2.600203, 2.596567, 2.569485, 2.49631, 2.352442, 
    2.201925, 2.060504, 1.98807, 1.953067, 1.927214, 1.905211, 1.886259, 
    1.872707, 1.864955, 1.859655, 1.855455, 1.851407, 1.846208, 1.839961, 
    1.832714, 1.819869, 1.791477, 1.740683, 1.67239, 1.602547, 1.544754, 
    1.498863, 1.468123, 1.463083, 1.48554, 1.546145, 1.661849, 1.817701, 
    1.988055, 2.174508, 2.37891, 2.533211, 2.626813, 2.724264, 2.688645, 
    1.036944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.124541, 
    1.24949, 0.9359884, 0.1867461, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.355104, 3.545329, 3.509739, 3.458069, 3.411314, 3.369161, 3.32221, 
    3.262311, 3.189665, 3.125618, 3.078222, 3.045175, 2.713381, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7895018, 1.574096, 2.97628, 3.110775, 3.092219, 
    3.068762, 1.662396, 1.048863, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6776245, 
    1.729599, 0.6607989, 0, 1.100038, 1.488835, 1.38044, 1.312493, 1.261341, 
    1.177136, 1.100083, 1.075989, 1.092844, 1.11975, 1.142857, 1.158764, 
    1.165919, 1.168023, 1.179929, 1.187783, 1.190383, 1.191681, 1.19538, 
    1.202778, 1.215076, 1.231025, 1.246374, 1.256274, 1.262323, 1.267424, 
    1.270975, 1.272525, 1.273376, 1.272977, 1.271427, 1.269277, 1.267128, 
    1.264528, 1.261778, 1.259029, 1.256979, 1.255029, 1.253229, 1.25178, 
    1.25033, 1.248581, 1.247081, 1.245032, 1.242282, 1.237983, 1.232683, 
    1.226783, 1.220183, 1.212932, 1.204581, 1.19678, 1.188979, 1.181578, 
    1.175474,
  1.149516, 1.151615, 1.153862, 1.153559, 1.150256, 1.142753, 1.128151, 
    1.107298, 1.083246, 1.056746, 1.028847, 1.005998, 0.9882496, 0.9729506, 
    0.9620009, 0.9588009, 0.9625009, 0.9718008, 0.9855993, 1.000799, 1.014, 
    1.026502, 1.039855, 1.050958, 1.057262, 1.057965, 1.052418, 1.045469, 
    1.044518, 1.053364, 1.07111, 1.090855, 1.107002, 1.118598, 1.126094, 
    1.126944, 1.119745, 1.10275, 1.074955, 1.046012, 1.024018, 1.010424, 
    1.010279, 1.023035, 1.040789, 1.058542, 1.077497, 1.102452, 1.132307, 
    1.169162, 1.223617, 1.299625, 1.38933, 1.502481, 1.631879, 1.763075, 
    1.873069, 1.98026, 2.098146, 1.858324, 0.5520737, 0, 0, 0, 0, 0, 
    1.177873, 2.356231, 2.328531, 2.298728, 2.285421, 2.300267, 1.750519, 
    0.3534071, 0.123807, 1.611246, 2.480987, 2.469481, 2.435977, 2.383972, 
    2.309216, 1.438456, 1.048054, 1.038008, 1.542839, 2.102247, 2.266968, 
    2.486882, 2.673557, 2.788847, 2.8364, 2.836363, 2.813829, 2.764347, 
    2.66242, 2.482695, 2.294425, 2.121196, 2.034603, 2.002102, 1.980199, 
    1.961796, 1.946193, 1.934991, 1.928441, 1.92399, 1.91939, 1.913941, 
    1.906693, 1.897345, 1.8856, 1.865506, 1.826715, 1.767274, 1.689382, 
    1.609791, 1.54225, 1.485209, 1.441021, 1.421584, 1.434544, 1.48845, 
    1.598405, 1.74966, 1.915314, 2.09637, 2.295876, 2.448578, 2.535836, 
    2.629042, 2.449739, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.135342, 1.071759, 0.3145259, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1765953, 2.298911, 3.532473, 3.497966, 3.457561, 3.418258, 3.372957, 
    3.311908, 3.235361, 2.695805, 1.550593, 1.532963, 1.364932, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.575757, 3.142524, 3.133464, 3.121253, 0.311795, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8663988, 0.6629586, 0, 0.5546274, 
    1.427868, 1.39244, 1.321492, 1.272591, 1.195084, 1.121931, 1.091236, 
    1.101841, 1.121197, 1.135904, 1.14401, 1.145464, 1.143168, 1.147424, 
    1.151027, 1.153577, 1.156676, 1.162473, 1.172271, 1.18662, 1.204518, 
    1.221666, 1.232765, 1.239664, 1.243514, 1.246165, 1.247016, 1.247167, 
    1.246017, 1.244417, 1.242017, 1.239267, 1.236468, 1.233118, 1.230018, 
    1.227618, 1.225469, 1.22307, 1.22102, 1.218971, 1.216521, 1.213923, 
    1.211273, 1.207574, 1.202474, 1.196675, 1.190526, 1.184026, 1.177476, 
    1.170375, 1.163774, 1.157522, 1.151671, 1.14822,
  1.133012, 1.136162, 1.14086, 1.143159, 1.142257, 1.137156, 1.125204, 
    1.107252, 1.084502, 1.057902, 1.029352, 1.005703, 0.9870026, 0.9714521, 
    0.9605517, 0.9579506, 0.9622496, 0.9724978, 0.9879466, 1.003147, 
    1.014998, 1.024751, 1.034304, 1.04076, 1.042513, 1.039367, 1.030919, 
    1.022121, 1.023269, 1.036665, 1.05966, 1.085055, 1.106, 1.122046, 
    1.133892, 1.13644, 1.12824, 1.106743, 1.07195, 1.035856, 1.007261, 
    0.9877651, 0.9813201, 0.988324, 1.001778, 1.01593, 1.030384, 1.049588, 
    1.074043, 1.105147, 1.153353, 1.220661, 1.304316, 1.415268, 1.545718, 
    1.682713, 1.800056, 1.914602, 2.04205, 1.822369, 0.5539749, 0, 0, 0, 0, 
    0, 2.108721, 2.325022, 2.299269, 2.274564, 2.26761, 2.285808, 2.334505, 
    1.549414, 1.225935, 1.617611, 2.496736, 2.493377, 1.352189, 1.202566, 
    1.166803, 1.138054, 1.209582, 2.128214, 2.149391, 2.23777, 2.432347, 
    2.685776, 2.893316, 3.013717, 3.055275, 3.039539, 2.998355, 2.928472, 
    2.803638, 2.596659, 2.381176, 2.189486, 2.097937, 2.067185, 2.047934, 
    2.032881, 2.020579, 2.011427, 2.006176, 2.002325, 1.997375, 1.990826, 
    1.981429, 1.968881, 1.951986, 1.924293, 1.874702, 1.805161, 1.71677, 
    1.625582, 1.547242, 1.478003, 1.418967, 1.38413, 1.385291, 1.430899, 
    1.532957, 1.677015, 1.835823, 2.008282, 2.198043, 2.342505, 2.418616, 
    2.497884, 2.448059, 0.891276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.4426682, 1.203538, 0.8868999, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.5341901, 2.671798, 3.539163, 3.502412, 3.466009, 3.423207, 
    3.362555, 3.283407, 2.260272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1582284, 1.581984, 1.580281, 1.577526, 0.1576775, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.6798465, 0.7003325, 0.9895941, 1.2782, 
    1.208393, 1.140587, 0.8302256, 0.9465336, 1.125695, 1.13325, 1.134756, 
    1.13136, 1.124913, 1.122719, 1.122772, 1.125271, 1.130219, 1.138867, 
    1.151764, 1.168511, 1.189009, 1.208457, 1.221005, 1.229354, 1.232954, 
    1.234504, 1.234505, 1.234156, 1.232556, 1.230906, 1.228257, 1.225256, 
    1.221957, 1.218107, 1.214758, 1.212108, 1.209458, 1.206409, 1.203759, 
    1.20076, 1.197461, 1.193612, 1.189764, 1.185214, 1.178966, 1.171867, 
    1.165018, 1.158168, 1.151518, 1.145168, 1.139767, 1.135066, 1.130665, 
    1.128813,
  1.119013, 1.122862, 1.128861, 1.132311, 1.132261, 1.128709, 1.118657, 
    1.102207, 1.080755, 1.054405, 1.025805, 1.001854, 0.9837532, 0.9691521, 
    0.9595002, 0.9578994, 0.9637477, 0.9755466, 0.9918464, 1.006048, 
    1.015251, 1.021655, 1.02631, 1.027714, 1.025268, 1.018271, 1.006974, 
    0.996625, 1.000023, 1.018468, 1.047562, 1.078557, 1.105002, 1.125497, 
    1.141843, 1.147889, 1.140488, 1.11594, 1.075444, 1.033349, 0.9992533, 
    0.9756566, 0.9648594, 0.9679126, 0.9780148, 0.9902158, 1.001768, 
    1.016371, 1.036275, 1.06213, 1.10174, 1.15905, 1.235059, 1.340117, 
    1.466575, 1.359833, 1.318085, 1.845423, 1.87326, 0.736712, 0, 0, 0, 0, 0, 
    0, 2.089912, 2.305912, 2.284009, 2.264205, 2.260004, 2.279104, 2.329753, 
    2.3937, 2.457248, 2.494495, 2.511488, 2.519026, 1.384246, 1.245788, 
    1.222232, 1.981375, 2.262061, 2.237638, 2.283616, 2.392949, 2.608135, 
    2.878176, 3.090828, 3.207233, 3.239842, 3.209155, 3.151619, 3.065032, 
    2.922497, 2.69676, 2.467168, 2.268371, 2.17657, 2.148118, 2.130916, 
    2.118264, 2.108063, 2.100711, 2.096661, 2.09331, 2.08826, 2.080361, 
    2.068913, 2.053615, 2.031869, 1.996876, 1.936935, 1.856696, 1.757156, 
    1.653568, 1.56298, 1.480442, 1.405957, 1.355522, 1.343534, 1.379144, 
    1.470456, 1.603468, 1.751829, 1.912092, 2.086759, 2.214477, 2.277888, 
    2.337805, 2.401832, 1.710939, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.8869, 1.203767, 0.4442713, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.5406468, 2.700065, 3.574174, 3.539072, 3.506717, 3.468462, 
    3.410259, 3.166213, 1.140308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3266038, 0.6402336, 0.665864, 1.155885, 0.5649908, 0.3934273, 1.076497, 
    1.134397, 1.130751, 1.123604, 1.113707, 1.106011, 1.102515, 1.104965, 
    1.111814, 1.12376, 1.140007, 1.159755, 1.183401, 1.205049, 1.219996, 
    1.230045, 1.234294, 1.234994, 1.234744, 1.234144, 1.232094, 1.230394, 
    1.227494, 1.224594, 1.220545, 1.216595, 1.212995, 1.209746, 1.206896, 
    1.203247, 1.199997, 1.196048, 1.191499, 1.18665, 1.181002, 1.175004, 
    1.166556, 1.157908, 1.14951, 1.141462, 1.134063, 1.127663, 1.122514, 
    1.118414, 1.114714, 1.113814,
  1.104515, 1.108715, 1.115315, 1.118964, 1.119763, 1.117413, 1.109061, 
    1.09366, 1.073758, 1.047908, 1.019757, 0.9960068, 0.9790058, 0.9658542, 
    0.9579528, 0.9578506, 0.965, 0.9773999, 0.9941493, 1.006302, 1.012254, 
    1.014709, 1.013914, 1.010519, 1.003523, 0.9930266, 0.979129, 0.9684286, 
    0.9740263, 0.9978212, 1.033065, 1.06991, 1.101505, 1.127149, 1.148394, 
    1.159289, 1.154236, 1.129235, 1.085787, 1.038791, 1.000993, 0.9743955, 
    0.9612971, 0.9619484, 0.9702495, 0.9813507, 0.9922, 1.005399, 1.022002, 
    1.041409, 1.070669, 1.11618, 1.181043, 1.275654, 1.319208, 0.7687896, 
    1.230042, 1.757095, 0.9546141, 0, 0, 0, 0, 0, 0, 0, 2.082302, 2.298352, 
    2.278003, 2.260452, 2.258399, 2.278248, 2.330495, 2.39849, 2.46344, 
    2.504436, 2.530975, 2.550863, 2.549696, 2.533228, 2.494411, 2.426897, 
    2.369035, 2.364122, 2.424118, 2.543616, 2.765817, 3.036026, 3.241887, 
    3.349399, 3.373406, 3.339299, 3.277643, 3.186238, 3.032245, 2.796301, 
    2.560654, 2.360354, 2.270102, 2.244199, 2.229147, 2.218296, 2.209145, 
    2.203344, 2.199893, 2.196793, 2.191244, 2.182395, 2.168897, 2.151199, 
    2.125203, 2.08341, 2.014667, 1.923877, 1.812239, 1.6969, 1.593213, 
    1.497225, 1.406891, 1.339758, 1.313273, 1.336836, 1.4149, 1.533515, 
    1.667581, 1.812148, 1.967518, 2.075587, 2.127397, 2.170462, 2.208435, 
    1.876731, 0.5259762, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3161346, 1.076581, 0.6344845, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7797822, 0.7077224, 0, 0, 1.487205, 2.296089, 3.61125, 3.591244, 
    3.559739, 3.533532, 3.502474, 3.449367, 1.687152, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.05881404, 0.7580398, 0.5772359, 0, 1.032933, 
    1.143685, 1.135739, 1.125342, 1.112445, 1.099301, 1.091755, 1.093307, 
    1.101955, 1.117801, 1.137747, 1.160843, 1.18784, 1.212287, 1.230234, 
    1.242232, 1.247231, 1.247681, 1.246484, 1.245284, 1.243534, 1.241884, 
    1.239233, 1.236233, 1.232033, 1.227933, 1.223984, 1.220384, 1.217384, 
    1.213583, 1.209734, 1.204835, 1.198936, 1.192189, 1.184741, 1.176593, 
    1.165545, 1.154149, 1.143002, 1.132904, 1.123158, 1.11536, 1.109012, 
    1.104063, 1.099764, 1.098815,
  1.087519, 1.092069, 1.098868, 1.103117, 1.104517, 1.102767, 1.096065, 
    1.082463, 1.063762, 1.03876, 1.01126, 0.9881588, 0.9722577, 0.9609057, 
    0.9545041, 0.9561527, 0.9642515, 0.9769011, 0.9935519, 1.004053, 
    1.006757, 1.00526, 0.9989662, 0.9903216, 0.9787759, 0.9647796, 0.9487315, 
    0.9378822, 0.94578, 0.973627, 1.014621, 1.057615, 1.09426, 1.125654, 
    1.152398, 1.168642, 1.167737, 1.144784, 1.101183, 1.052182, 1.012484, 
    0.9846838, 0.9707338, 0.9704345, 0.9787332, 0.9901813, 1.001681, 
    1.014482, 1.026239, 1.039395, 1.058455, 1.090371, 1.141785, 1.222601, 
    1.182061, 0.4506287, 1.547846, 1.087266, 0.08702671, 0, 0, 0, 0, 0, 0, 0, 
    1.157284, 2.292909, 2.271261, 2.253811, 2.252862, 2.274011, 2.330006, 
    2.402801, 2.470995, 2.518187, 2.559718, 2.594949, 2.613127, 2.21727, 
    1.929744, 2.542972, 2.496611, 2.501754, 2.564354, 2.684704, 2.903359, 
    3.162523, 3.355637, 3.452496, 3.468904, 3.443544, 3.390133, 3.300684, 
    3.139542, 2.898845, 2.662393, 2.46374, 2.376486, 2.352784, 2.339882, 
    2.33083, 2.322679, 2.318128, 2.315626, 2.312776, 2.306676, 2.296428, 
    2.28088, 2.260782, 2.230637, 2.183092, 2.10665, 2.006409, 1.88327, 
    1.756232, 1.639944, 1.530658, 1.424274, 1.339842, 1.298007, 1.307622, 
    1.370788, 1.472806, 1.589824, 1.716642, 1.851263, 1.939284, 1.982141, 
    2.011703, 2.02952, 2.02524, 1.0051, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.6335, 1.267, 0.1267, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.558608, 1.733208, 0.5715846, 0, 2.943625, 3.486904, 2.699857, 1.800807, 
    1.786277, 1.774904, 1.761577, 1.736676, 0.1729011, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1757068, 0.5944796, 0.6029207, 1.122036, 
    1.17111, 1.158715, 1.14422, 1.12483, 1.103939, 1.091744, 1.091447, 
    1.102494, 1.12234, 1.146486, 1.173082, 1.20288, 1.230527, 1.251224, 
    1.264923, 1.269674, 1.268727, 1.265229, 1.262431, 1.260982, 1.259382, 
    1.257231, 1.25473, 1.25093, 1.24643, 1.24248, 1.23888, 1.235431, 
    1.231431, 1.226732, 1.220983, 1.213435, 1.204736, 1.195238, 1.184342, 
    1.170445, 1.155249, 1.140753, 1.127656, 1.114709, 1.104262, 1.096014, 
    1.089516, 1.083817, 1.082318,
  1.067522, 1.072073, 1.079323, 1.083773, 1.085772, 1.084971, 1.079619, 
    1.067917, 1.050765, 1.027313, 1.000812, 0.9789603, 0.964259, 0.954807, 
    0.9504544, 0.9534529, 0.9625021, 0.9754021, 0.9910533, 0.9999556, 
    0.999758, 0.9946618, 0.9829671, 0.9687733, 0.9530277, 0.9355313, 
    0.9173338, 0.9061837, 0.9160319, 0.9465293, 0.9912274, 1.039473, 
    1.081766, 1.118811, 1.151853, 1.173847, 1.177492, 1.158387, 1.117783, 
    1.072126, 1.033722, 1.00687, 0.994167, 0.9947145, 1.004463, 1.01806, 
    1.031557, 1.043307, 1.048214, 1.053825, 1.061638, 1.077955, 1.113523, 
    1.177094, 0.700064, 0.8732685, 1.091872, 0.2323935, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.146444, 2.282313, 2.259015, 2.241315, 2.240314, 2.262214, 2.323258, 
    2.401801, 2.475446, 2.532184, 2.596705, 2.654926, 2.56009, 0.933332, 
    1.347685, 2.67191, 2.639791, 2.65348, 2.715581, 2.83159, 3.040905, 
    3.286818, 3.476362, 3.567913, 3.57712, 3.553128, 3.501884, 3.410038, 
    3.24434, 3.003288, 2.769634, 2.574829, 2.491425, 2.471019, 2.460866, 
    2.453514, 2.447511, 2.44391, 2.442609, 2.440259, 2.434058, 2.422459, 
    2.404363, 2.381017, 2.346172, 2.293578, 2.210634, 2.102491, 1.970548, 
    1.832509, 1.70492, 1.582584, 1.4607, 1.360065, 1.302982, 1.297349, 
    1.343618, 1.42679, 1.52556, 1.634129, 1.7488, 1.824554, 1.861109, 
    1.881567, 1.887325, 1.869932, 1.361884, 0.2622407, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.240986, 1.102001, 0.8646082, 0.06348482, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.3512509, 0.7381258, 1.625299, 1.674101, 0.5739689, 
    0.9929324, 1.598391, 1.733732, 0.8943993, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6202164, 1.238685, 1.230042, 
    1.214898, 1.197704, 1.178409, 1.152014, 1.121125, 1.103231, 1.101083, 
    1.113633, 1.137229, 1.165225, 1.194972, 1.227319, 1.256818, 1.27797, 
    1.290374, 1.293078, 1.288981, 1.282485, 1.277038, 1.274989, 1.273689, 
    1.272986, 1.272633, 1.270779, 1.266428, 1.262479, 1.258879, 1.255378, 
    1.250779, 1.245479, 1.239129, 1.229931, 1.219134, 1.206987, 1.19274, 
    1.175345, 1.156, 1.138003, 1.121058, 1.104712, 1.091165, 1.080768, 
    1.07247, 1.06577, 1.063172,
  1.046523, 1.050374, 1.056876, 1.061276, 1.063527, 1.063676, 1.059674, 
    1.050022, 1.035268, 1.014564, 0.9907601, 0.9709071, 0.9580044, 0.9507018, 
    0.9488989, 0.9535967, 0.9629967, 0.9755474, 0.989949, 0.9965018, 
    0.9940044, 0.9855579, 0.9689133, 0.9490694, 0.928775, 0.907779, 
    0.8878801, 0.8764808, 0.8877795, 0.9197289, 0.9662768, 1.017525, 
    1.064521, 1.106965, 1.146259, 1.173554, 1.181748, 1.167194, 1.132336, 
    1.093577, 1.061717, 1.03931, 1.030154, 1.03395, 1.046695, 1.063291, 
    1.082482, 1.093733, 1.093935, 1.09274, 1.088853, 1.08892, 0.8263653, 
    0.5795857, 0.1837389, 1.080316, 0.3415076, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.148847, 2.265424, 2.239528, 2.222027, 2.223323, 2.248267, 2.314262, 
    2.398457, 2.477949, 2.544141, 2.632717, 2.71674, 2.501531, 0, 1.408433, 
    2.801808, 2.78654, 2.807935, 2.868586, 2.975447, 3.174555, 3.413257, 
    3.600369, 3.687378, 3.689137, 3.658443, 3.603146, 3.508996, 3.344542, 
    3.107835, 2.878879, 2.688424, 2.60897, 2.592766, 2.584864, 2.578364, 
    2.573465, 2.570564, 2.569865, 2.567765, 2.561564, 2.549515, 2.529116, 
    2.502419, 2.463573, 2.406177, 2.31913, 2.206882, 2.069836, 1.923742, 
    1.786402, 1.652564, 1.516728, 1.401943, 1.329959, 1.307678, 1.334451, 
    1.396775, 1.477046, 1.567116, 1.664084, 1.736287, 1.76934, 1.785242, 
    1.785895, 1.765694, 1.730088, 1.083457, 0.0813188, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.5289477, 1.266183, 0.2307619, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2107304, 1.055217, 1.4794, 0.9253678, 0.6499919, 0, 0.9972622, 
    0.142466, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.318707, 1.10781, 1.295615, 1.273873, 1.251179, 1.226386, 
    1.194494, 1.153654, 1.129212, 1.124366, 1.136318, 1.161668, 1.191717, 
    1.223516, 1.256767, 1.285868, 1.304472, 1.312228, 1.309736, 1.301941, 
    1.291994, 1.283797, 1.280648, 1.280946, 1.283242, 1.286238, 1.288233, 
    1.286429, 1.282478, 1.278878, 1.275828, 1.271277, 1.265977, 1.258578, 
    1.24788, 1.234882, 1.219984, 1.202638, 1.181292, 1.157597, 1.135752, 
    1.114606, 1.094261, 1.077564, 1.064767, 1.054419, 1.046721, 1.043022,
  1.024527, 1.027678, 1.032978, 1.037129, 1.039029, 1.03918, 1.036728, 
    1.029774, 1.01852, 1.002014, 0.9822592, 0.9658543, 0.9555011, 0.9514464, 
    0.9527921, 0.9592404, 0.9689895, 0.9804912, 0.9933931, 0.9980446, 
    0.9934965, 0.9816009, 0.9603559, 0.9355111, 0.9115139, 0.8875167, 
    0.8663186, 0.8541198, 0.8657703, 0.8977209, 0.9447719, 0.9969717, 
    1.04627, 1.092418, 1.136264, 1.168258, 1.181003, 1.171347, 1.143938, 
    1.114475, 1.092712, 1.079, 1.077488, 1.087428, 1.106419, 1.129957, 
    1.154504, 1.165404, 1.164404, 1.159907, 1.147264, 1.130434, 0.8458098, 
    0.1715012, 0.5144353, 0.4248333, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1133624, 
    1.461495, 2.217273, 2.204512, 2.211653, 2.240052, 2.308751, 2.396697, 
    2.484187, 2.558177, 2.659722, 2.763005, 1.409362, 0, 1.46444, 2.923266, 
    2.924248, 2.95144, 3.01134, 3.112541, 3.290034, 3.505536, 3.680451, 
    3.758064, 3.752372, 3.716926, 3.660226, 3.567822, 3.412455, 3.196864, 
    2.984382, 2.799224, 2.72342, 2.709569, 2.702369, 2.695869, 2.69007, 
    2.687071, 2.686122, 2.684122, 2.678071, 2.665871, 2.644871, 2.615824, 
    2.573528, 2.512731, 2.424131, 2.31173, 2.17323, 2.023232, 1.878888, 
    1.735597, 1.58811, 1.459975, 1.373691, 1.33501, 1.340485, 1.381459, 
    1.442532, 1.514802, 1.595771, 1.661482, 1.693333, 1.708033, 1.707981, 
    1.689528, 1.660071, 1.619756, 0.7769723, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.2882171, 0.4803619, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4224, 1.408, 
    0.9521261, 0.07567516, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.473947, 1.30821, 1.350253, 
    1.320164, 1.28972, 1.247835, 1.195052, 1.162962, 1.153268, 1.166065, 
    1.191015, 1.221715, 1.254863, 1.286765, 1.313469, 1.327725, 1.329732, 
    1.319591, 1.307696, 1.294749, 1.284252, 1.280402, 1.283199, 1.288746, 
    1.295691, 1.302235, 1.304231, 1.30123, 1.298228, 1.295428, 1.291777, 
    1.286477, 1.278377, 1.266777, 1.251929, 1.234981, 1.214884, 1.189739, 
    1.161544, 1.135499, 1.109804, 1.085309, 1.065313, 1.049767, 1.037369, 
    1.027772, 1.022724,
  1.019983, 1.022434, 1.026886, 1.030087, 1.031987, 1.032136, 1.030785, 
    1.026482, 1.018978, 1.007272, 0.9926651, 0.9805598, 0.9734553, 0.9726523, 
    0.9771492, 0.9851971, 0.9944492, 1.004401, 1.015354, 1.018057, 1.01146, 
    0.996463, 0.971816, 0.9437184, 0.9169722, 0.8909243, 0.8677271, 
    0.8529822, 0.8619879, 0.8905954, 0.9337537, 0.9825124, 1.030267, 1.07627, 
    1.122319, 1.157667, 1.174762, 1.171203, 1.15319, 1.136323, 1.126458, 
    1.124292, 1.134277, 1.152467, 1.176415, 1.206312, 1.233459, 1.245058, 
    1.244407, 1.237459, 1.219116, 1.187929, 0.8706627, 0.5790796, 0.5140091, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3330536, 1.10642, 1.10231, 
    1.107873, 1.122408, 1.157042, 2.046801, 2.490499, 2.571042, 2.682225, 
    2.800756, 0.2830451, 0.4566928, 2.276594, 3.035418, 3.051052, 3.082201, 
    3.136364, 3.224145, 3.358057, 3.520182, 3.659103, 3.717137, 3.704396, 
    3.667395, 3.613389, 3.529622, 3.397682, 3.227317, 3.054953, 2.898691, 
    2.832771, 2.820419, 2.81262, 2.805172, 2.797575, 2.792928, 2.791379, 
    2.790526, 2.785125, 2.773225, 2.751377, 2.71973, 2.673186, 2.60979, 
    2.52089, 2.410985, 2.273284, 2.123281, 1.975883, 1.827086, 1.671443, 
    1.532603, 1.433416, 1.378337, 1.361964, 1.380193, 1.421268, 1.476338, 
    1.541907, 1.597619, 1.629568, 1.644717, 1.646564, 1.632307, 1.610296, 
    1.581983, 1.465975, 0.75068, 0.3718485, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.06888299, 0.904581, 1.056851, 0.2117108, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1.333377, 1.444972, 1.407628, 1.370289, 1.315404, 
    1.249668, 1.206684, 1.1875, 1.198309, 1.221063, 1.250717, 1.282123, 
    1.311177, 1.333933, 1.343737, 1.340942, 1.324746, 1.308452, 1.292506, 
    1.280058, 1.276507, 1.281605, 1.290999, 1.302144, 1.313688, 1.319533, 
    1.317482, 1.315431, 1.313479, 1.310928, 1.305977, 1.298226, 1.286676, 
    1.270776, 1.252726, 1.231177, 1.203778, 1.173427, 1.144729, 1.116379, 
    1.08973, 1.067481, 1.05073, 1.03713, 1.026281, 1.020381,
  1.057423, 1.059174, 1.062326, 1.064377, 1.065928, 1.066777, 1.066326, 
    1.064024, 1.05967, 1.052515, 1.043508, 1.036052, 1.032398, 1.034344, 
    1.041042, 1.050141, 1.05889, 1.067292, 1.075746, 1.07555, 1.0674, 1.0512, 
    1.024702, 0.9937567, 0.9634118, 0.9337687, 0.9052292, 0.8846388, 
    0.8857028, 0.9049685, 0.9372372, 0.9755546, 1.016766, 1.059372, 1.104924, 
    1.142072, 1.163766, 1.167256, 1.160841, 1.158422, 1.162453, 1.173486, 
    1.196219, 1.223756, 1.249654, 1.282549, 1.312894, 1.32684, 1.327388, 
    1.319538, 1.297041, 1.066082, 0.2987507, 0.8242279, 0.1177469, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8491338, 1.248638, 
    1.290342, 1.349641, 1.413151, 0.1429091, 0.9280186, 3.110639, 3.140124, 
    3.164818, 3.193026, 3.229905, 3.285355, 3.366773, 3.468048, 3.549918, 
    3.580302, 3.562506, 3.528599, 3.483683, 3.419151, 3.325795, 3.210176, 
    3.090958, 2.986094, 2.93792, 2.927767, 2.918868, 2.909271, 2.898625, 
    2.891479, 2.889878, 2.892123, 2.889417, 2.877418, 2.853122, 2.817628, 
    2.766733, 2.700287, 2.612883, 2.50588, 2.36883, 2.219731, 2.072628, 
    1.92203, 1.762183, 1.615493, 1.505406, 1.432778, 1.393857, 1.388287, 
    1.408763, 1.446385, 1.497154, 1.543216, 1.573321, 1.589769, 1.594764, 
    1.586905, 1.573544, 1.55633, 1.535358, 1.514526, 0.7532305, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2110171, 2.108525, 
    1.052342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.06922396, 0.6962997, 0.3528867, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5875661, 
    1.513923, 1.545331, 1.502637, 1.458544, 1.39475, 1.317863, 1.26168, 
    1.229297, 1.229864, 1.250215, 1.279213, 1.30542, 1.327582, 1.343394, 
    1.349, 1.341657, 1.321362, 1.302513, 1.284264, 1.270566, 1.268563, 
    1.276508, 1.290004, 1.305598, 1.321742, 1.331837, 1.330985, 1.330482, 
    1.32998, 1.328878, 1.325724, 1.319771, 1.309717, 1.295563, 1.278709, 
    1.258355, 1.232301, 1.203847, 1.176691, 1.149887, 1.124683, 1.103729, 
    1.088176, 1.075424, 1.064773, 1.059172,
  1.128394, 1.130143, 1.13763, 1.149652, 1.163568, 1.178532, 1.19464, 
    1.206356, 1.2057, 1.202246, 1.196893, 1.187654, 1.178223, 1.172298, 
    1.16783, 1.164214, 1.166083, 1.173534, 1.185172, 1.189805, 1.18704, 
    1.176924, 1.155409, 1.121711, 1.086768, 1.050079, 1.011046, 0.9730317, 
    0.9546183, 0.9519594, 0.9599037, 0.977889, 1.008007, 1.043719, 1.086224, 
    1.124972, 1.151266, 1.162855, 1.168888, 1.180521, 1.199202, 1.224533, 
    1.260366, 1.29536, 1.324155, 1.360999, 1.395893, 1.414086, 1.41763, 
    1.411027, 1.386628, 0.9431739, 0, 0.417592, 0.059656, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9524685, 
    3.195394, 3.230594, 3.253356, 3.269927, 3.283957, 3.303948, 3.333962, 
    3.377735, 3.407947, 3.410136, 3.389639, 3.364125, 3.334701, 3.296864, 
    3.24601, 3.184042, 3.117723, 3.063657, 3.039868, 3.033412, 3.023862, 
    3.011168, 2.996573, 2.98538, 2.983881, 2.989727, 2.990124, 2.977475, 
    2.949879, 2.909337, 2.854192, 2.784896, 2.700392, 2.594891, 2.457791, 
    2.308691, 2.162391, 2.011889, 1.849991, 1.697995, 1.578656, 1.489775, 
    1.428404, 1.400033, 1.400009, 1.419932, 1.456052, 1.493063, 1.519816, 
    1.538164, 1.547009, 1.546349, 1.541787, 1.535822, 1.531851, 1.533376, 
    0.7677323, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.474873, 2.320812, 4.224857, 3.146027, 0.6234112, 0, 0, 0, 1.2553, 
    1.728207, 1.631212, 1.52948, 1.474175, 1.424356, 0.9697509, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5905944, 1.601611, 
    1.636634, 1.589639, 1.541244, 1.471254, 1.387557, 0.9907852, 1.079649, 
    1.270332, 1.288835, 1.317189, 1.336799, 1.348513, 1.353629, 1.349998, 
    1.333763, 1.308172, 1.288524, 1.269773, 1.256271, 1.257067, 1.268413, 
    1.285757, 1.305902, 1.327244, 1.341787, 1.342984, 1.344532, 1.346478, 
    1.348272, 1.348966, 1.347558, 1.342698, 1.333589, 1.320932, 1.304775, 
    1.284215, 1.261155, 1.239147, 1.21679, 1.193689, 1.174339, 1.15939, 
    1.147241, 1.136642, 1.130145,
  1.227839, 1.23343, 1.254656, 1.289273, 1.327242, 1.369406, 1.417213, 
    1.460014, 1.480562, 1.499007, 1.517345, 1.528328, 1.538803, 1.55382, 
    1.564047, 1.564251, 1.565084, 1.571536, 1.581054, 1.578591, 1.56394, 
    1.53426, 1.482757, 1.414499, 1.347031, 1.281299, 1.212214, 1.136579, 
    1.081541, 1.039805, 1.008366, 0.9954635, 1.007993, 1.033808, 1.070617, 
    1.109868, 1.141011, 1.161648, 1.180331, 1.204665, 1.236199, 1.275082, 
    1.323715, 1.363907, 1.396651, 1.437446, 1.477888, 1.502229, 1.512865, 
    1.511603, 1.412058, 0.4874755, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4835649, 2.450897, 3.300071, 
    3.309595, 3.307374, 3.3005, 3.291885, 3.280482, 3.275988, 3.265932, 
    3.247099, 3.227194, 3.214125, 3.204147, 3.193462, 3.179915, 3.163363, 
    3.145203, 3.135102, 3.136174, 3.135366, 3.126114, 3.107775, 3.084692, 
    3.067002, 3.063158, 3.06981, 3.070512, 3.055617, 3.023425, 2.976535, 
    2.918786, 2.849682, 2.768426, 2.664773, 2.528271, 2.37952, 2.234417, 
    2.085464, 1.923912, 1.770112, 1.644418, 1.542185, 1.461308, 1.412035, 
    1.394007, 1.397677, 1.420842, 1.450151, 1.474804, 1.494204, 1.506699, 
    1.512791, 1.516779, 1.520419, 1.528508, 1.543298, 1.166179, 0.2344091, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.061348, 3.610016, 
    4.25044, 4.237657, 4.197223, 1.252493, 0.1966125, 1.952811, 1.893074, 
    3.074776, 3.463456, 3.278081, 3.093178, 2.989509, 2.890357, 2.384946, 
    0.6908612, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.600187, 1.725378, 1.674135, 1.620444, 1.544401, 1.45586, 0.7057084, 
    0.4551877, 1.249528, 1.331601, 1.356456, 1.368367, 1.368982, 1.362447, 
    1.34751, 1.32137, 1.291423, 1.271522, 1.253271, 1.24097, 1.244566, 
    1.259461, 1.281255, 1.306198, 1.333041, 1.351038, 1.354984, 1.359278, 
    1.365571, 1.373261, 1.38045, 1.386587, 1.390125, 1.388713, 1.382403, 
    1.372593, 1.36073, 1.347065, 1.331854, 1.313849, 1.293045, 1.274442, 
    1.260339, 1.249036, 1.238784, 1.229788,
  1.360292, 1.371835, 1.409114, 1.467082, 1.528946, 1.598157, 1.679906, 
    1.760599, 1.819993, 1.88113, 1.948654, 2.015466, 2.085674, 2.162884, 
    2.230747, 2.269785, 2.287156, 2.294401, 2.289872, 2.257718, 2.203779, 
    2.120807, 2.001049, 1.862802, 1.732894, 1.61173, 1.488068, 1.358054, 
    1.252982, 1.161905, 1.082378, 1.030439, 1.017729, 1.029853, 1.059115, 
    1.098563, 1.136252, 1.166937, 1.197272, 1.232857, 1.274694, 1.323882, 
    1.381425, 1.426619, 1.463663, 1.508407, 1.554998, 1.587784, 1.607373, 
    1.610522, 0.7798361, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.833104, 2.84378, 3.336133, 
    3.312214, 3.289032, 3.259905, 3.220785, 3.186062, 3.153878, 3.129726, 
    3.116063, 3.116744, 3.125569, 3.138589, 3.154105, 3.171015, 3.188426, 
    3.207248, 3.223732, 3.229623, 3.219626, 3.190745, 3.153418, 3.124589, 
    3.113703, 3.116112, 3.112872, 3.091535, 3.052246, 3.001397, 2.94584, 
    2.880583, 2.804724, 2.705066, 2.570762, 2.423808, 2.281703, 2.136095, 
    1.977839, 1.825634, 1.697684, 1.586542, 1.491608, 1.425777, 1.392996, 
    1.384011, 1.397074, 1.420531, 1.443533, 1.463731, 1.479227, 1.490072, 
    1.501263, 1.511755, 1.526497, 1.54734, 1.564238, 1.023777, 0.07892572, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.416276, 2.080189, 2.130496, 
    3.229372, 4.31885, 4.330336, 4.307995, 4.243895, 2.707472, 2.214926, 
    3.920239, 3.796001, 3.630464, 3.457361, 3.287942, 3.134956, 3.039404, 
    2.942649, 2.847893, 1.396469, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0.6823111, 1.777314, 1.812979, 1.756885, 1.097347, 
    1.528349, 1.294851, 0.3615215, 0, 0.6029036, 0.8857185, 1.388455, 
    1.393812, 1.383527, 1.366042, 1.342504, 1.31056, 1.278563, 1.259162, 
    1.241761, 1.231008, 1.236755, 1.255849, 1.281744, 1.31079, 1.341436, 
    1.36243, 1.370473, 1.379565, 1.392204, 1.408341, 1.424428, 1.439814, 
    1.452601, 1.460138, 1.461377, 1.459465, 1.458398, 1.457578, 1.451313, 
    1.439101, 1.422395, 1.40634, 1.394038, 1.384187, 1.373191, 1.361994,
  1.525729, 1.541823, 1.592954, 1.671726, 1.757393, 1.853554, 1.969656, 
    2.089799, 2.189938, 2.296719, 2.419734, 2.551584, 2.686589, 2.826847, 
    2.956356, 3.042831, 3.083543, 3.095234, 3.076404, 3.013697, 2.916162, 
    2.780137, 2.597426, 2.389674, 2.193274, 2.007375, 1.81708, 1.622281, 
    1.458673, 1.311861, 1.178743, 1.081214, 1.036965, 1.029448, 1.049862, 
    1.091407, 1.136497, 1.178081, 1.219165, 1.263654, 1.312696, 1.367692, 
    1.429487, 1.479329, 1.520922, 1.569517, 1.622208, 1.406955, 0.8286818, 
    0.8303366, 0.08294339, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.181216, 1.840333, 3.29703, 
    3.263292, 3.222204, 3.168366, 3.120776, 3.082826, 3.06167, 3.057206, 
    3.070638, 3.09402, 3.124401, 3.160326, 3.20055, 3.239177, 3.27396, 
    3.300546, 3.310744, 3.29391, 3.251879, 3.198453, 3.153977, 3.131248, 
    3.124963, 3.113228, 3.081197, 3.035054, 2.985749, 2.935291, 2.874784, 
    2.805027, 2.711117, 2.580362, 2.437055, 2.299746, 2.159986, 2.008722, 
    1.861563, 1.735457, 1.621258, 1.518963, 1.442924, 1.399734, 1.382094, 
    1.387304, 1.406559, 1.42851, 1.44941, 1.467656, 1.481602, 1.497248, 
    1.512542, 1.531538, 1.556284, 1.573984, 1.585735, 0.7969149, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.872356, 4.235862, 4.348677, 4.405297, 
    4.438802, 4.461484, 4.424867, 4.317392, 4.182259, 4.057516, 3.92435, 
    3.784532, 3.612139, 3.443828, 3.285266, 3.148506, 3.055501, 2.9607, 
    2.8682, 2.092229, 0.4108373, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.508499, 1.694189, 1.945357, 1.886759, 1.827412, 1.160097, 
    1.589015, 1.35056, 0.7550213, 0.2213466, 0, 0.2101667, 0.7043168, 
    0.7056206, 1.328536, 1.374084, 1.34424, 1.308097, 1.275097, 1.256445, 
    1.240243, 1.231391, 1.239337, 1.261584, 1.290232, 1.321679, 1.355075, 
    1.380766, 1.394707, 1.410745, 1.431731, 1.457367, 1.483152, 1.507889, 
    1.530025, 1.545914, 1.554354, 1.561042, 1.572522, 1.586051, 1.591282, 
    1.588816, 1.579301, 1.56884, 1.56048, 1.552475, 1.540075, 1.52648,
  1.720685, 1.740979, 1.804361, 1.902282, 2.010098, 2.132608, 2.281507, 
    2.441096, 2.584378, 2.739552, 2.922308, 3.122701, 3.322752, 3.526304, 
    3.718108, 3.854633, 3.921194, 3.937389, 3.90451, 3.811908, 3.671322, 
    3.485596, 3.243036, 2.969735, 2.706933, 2.454283, 2.192542, 1.927003, 
    1.698855, 1.489256, 1.297599, 1.150278, 1.069687, 1.037029, 1.045601, 
    1.087604, 1.138995, 1.190731, 1.243711, 1.294553, 1.3472, 1.404399, 
    1.468596, 1.522392, 1.568187, 1.620281, 1.677875, 1.202193, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.1652534, 2.132985, 3.235292, 3.188895, 3.130896, 
    3.081192, 3.046283, 3.030274, 3.03476, 3.058846, 3.091237, 3.132375, 
    3.182307, 3.236841, 3.287677, 3.331867, 3.366008, 3.378254, 3.349424, 
    3.295042, 3.225068, 3.164093, 3.126517, 3.10749, 3.083163, 3.037435, 
    2.984847, 2.938544, 2.89169, 2.83374, 2.767836, 2.679529, 2.55352, 
    2.41561, 2.285298, 2.153933, 2.013115, 1.875047, 1.755732, 1.644473, 
    1.540821, 1.460573, 1.412228, 1.389084, 1.388891, 1.404596, 1.425249, 
    1.446249, 1.466697, 1.483841, 1.502735, 1.521281, 1.543027, 1.570224, 
    1.58922, 1.60087, 1.528277, 0.5656166, 0.3992764, 0.7915741, 0.7894806, 
    0.5610805, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.919304, 4.324624, 4.465275, 
    4.509144, 4.54179, 4.577918, 4.527277, 4.365714, 4.195702, 4.070795, 
    3.923553, 3.761537, 3.588631, 3.426374, 3.274267, 3.143509, 3.054751, 
    2.9607, 2.8682, 2.781, 0.8241, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.030966, 2.046524, 2.005862, 1.947359, 1.884667, 1.817072, 
    0.9451232, 0.8038986, 1.137655, 0.9596696, 0.6495095, 0, 0, 0, 0.6344826, 
    0.8956827, 1.015517, 1.109163, 1.275602, 1.258548, 1.244992, 1.238787, 
    1.249732, 1.274028, 1.304476, 1.338072, 1.374766, 1.406855, 1.42919, 
    1.454324, 1.485657, 1.521241, 1.556378, 1.590114, 1.620952, 1.64439, 
    1.659081, 1.674119, 1.6986, 1.727126, 1.746253, 1.755584, 1.757115, 
    1.755749, 1.754438, 1.749982, 1.737382, 1.721485,
  1.937639, 1.961434, 2.036764, 2.154134, 2.284547, 2.433504, 2.615402, 
    2.814889, 3.001822, 3.206594, 3.450398, 3.720786, 3.98693, 4.254129, 
    4.509228, 4.695449, 4.788107, 4.809047, 4.761521, 4.638219, 4.455985, 
    4.22231, 3.922099, 3.585198, 3.259844, 2.943592, 2.611253, 2.272171, 
    1.975782, 1.699339, 1.445489, 1.245425, 1.124392, 1.061793, 1.052876, 
    1.091134, 1.147727, 1.207815, 1.271851, 1.324703, 1.377705, 1.434209, 
    1.49871, 1.554508, 1.602956, 1.657703, 1.629831, 0.612335, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.9649733, 3.19932, 3.156506, 3.102991, 3.059475, 
    3.032011, 3.023447, 3.036683, 3.068822, 3.106963, 3.15316, 3.210804, 
    3.273644, 3.330689, 3.379685, 3.419077, 3.433076, 3.392941, 3.327258, 
    3.243425, 3.166051, 3.112527, 3.078251, 3.038178, 2.976555, 2.914871, 
    2.868924, 2.823074, 2.764477, 2.698879, 2.614026, 2.49272, 2.361459, 
    2.239346, 2.118279, 1.990207, 1.865882, 1.75826, 1.655194, 1.555184, 
    1.475431, 1.425481, 1.399334, 1.395439, 1.407993, 1.426746, 1.447248, 
    1.468897, 1.489741, 1.511986, 1.533182, 1.557528, 1.587323, 1.60847, 
    1.620519, 1.626223, 1.139584, 0.4017696, 1.348462, 1.601045, 1.409697, 
    0.8931596, 0.9502779, 0.9146911, 0, 0, 0, 0, 0, 0, 2.926724, 4.363755, 
    4.545624, 4.589356, 4.629236, 4.681658, 4.632245, 4.441546, 4.259944, 
    4.115712, 3.936356, 3.748005, 3.5785, 3.4184, 2.792614, 1.575228, 
    2.591223, 1.636362, 1.859558, 2.781, 0.8241, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5226517, 1.774444, 2.058625, 2.003267, 
    1.936671, 1.213102, 0.09148912, 0, 0.765727, 1.491559, 1.383793, 
    0.7233995, 0.7236985, 0.2174086, 0, 0.2050981, 0.3418303, 0.90476, 
    1.271761, 1.258751, 1.250241, 1.248732, 1.263126, 1.289474, 1.32197, 
    1.357966, 1.39851, 1.438397, 1.471429, 1.507261, 1.549644, 1.595826, 
    1.639364, 1.681152, 1.71994, 1.750878, 1.772067, 1.795703, 1.83373, 
    1.878503, 1.913227, 1.937101, 1.952377, 1.962108, 1.968645, 1.96784, 
    1.955189, 1.937143,
  2.173599, 2.201241, 2.290017, 2.427134, 2.580995, 2.75725, 2.972194, 
    3.210532, 3.440262, 3.693782, 3.998831, 4.338519, 4.67111, 5.001955, 
    5.320401, 5.557218, 5.67752, 5.70476, 5.642534, 5.488185, 5.264654, 
    4.983731, 4.628071, 4.22957, 3.845264, 3.468312, 3.069566, 2.657334, 
    2.292195, 1.950847, 1.635695, 1.380488, 1.215063, 1.118223, 1.085667, 
    1.115038, 1.174436, 1.239432, 1.306288, 1.355149, 1.40396, 1.456619, 
    1.518426, 1.573879, 1.621984, 1.677085, 1.560338, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.947583, 3.150089, 3.125096, 3.085963, 3.055487, 3.037969, 
    3.038304, 3.060041, 3.09883, 3.138933, 3.183242, 3.240102, 3.305603, 
    3.364203, 3.415101, 3.458047, 3.473992, 3.428444, 3.353507, 3.259722, 
    3.169288, 3.100512, 3.050986, 2.994114, 2.914994, 2.839373, 2.788237, 
    2.740493, 2.678601, 2.610407, 2.525759, 2.406908, 2.280802, 2.166889, 
    2.05682, 1.942847, 1.834171, 1.740797, 1.649525, 1.558007, 1.483045, 
    1.434241, 1.406792, 1.400495, 1.411047, 1.428249, 1.448249, 1.471047, 
    1.495291, 1.521733, 1.545727, 1.572972, 1.605419, 1.628465, 1.064018, 
    0.8200374, 0.5741315, 0, 0.5555206, 0.8118607, 1.121643, 1.828878, 
    1.950804, 1.989641, 1.127182, 1.192566, 1.328767, 1.499254, 1.696653, 
    1.886776, 3.530034, 2.407052, 2.300239, 3.517437, 4.753112, 4.82134, 
    4.776489, 4.580753, 4.384006, 2.505556, 3.953639, 3.753975, 3.595594, 
    1.892982, 1.160553, 0, 1.066094, 0.1522991, 0.4236384, 1.395072, 
    0.4134048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.318599, 
    0.5309983, 0.7402259, 1.992996, 2.049036, 1.979441, 0.5840852, 0, 0, 
    0.775741, 1.508438, 1.466495, 1.449656, 1.447515, 0.9313167, 0.6956551, 
    0.4768769, 0, 0.8991581, 1.267403, 1.260743, 1.258233, 1.262723, 
    1.281564, 1.311056, 1.345703, 1.383152, 1.426051, 1.475085, 1.519665, 
    1.567046, 1.620128, 1.676414, 1.72785, 1.77649, 1.822429, 1.860368, 
    1.888308, 1.921142, 1.973868, 2.036487, 2.088955, 2.130225, 2.161697, 
    2.184772, 2.200107, 2.2032, 2.1905, 2.170453,
  2.421571, 2.45481, 2.558882, 2.717942, 2.896448, 3.1005, 3.349292, 
    3.625527, 3.897207, 4.198277, 4.563279, 4.970963, 5.369052, 5.762947, 
    6.145136, 6.433796, 6.582698, 6.617184, 6.54001, 6.353367, 6.087839, 
    5.758973, 5.348617, 4.890865, 4.451704, 4.019192, 3.560539, 3.082989, 
    2.65459, 2.254185, 1.880284, 1.569727, 1.357707, 1.221629, 1.158887, 
    1.171821, 1.226638, 1.289849, 1.349717, 1.389237, 1.428707, 1.474123, 
    1.530035, 1.580848, 1.625007, 1.676866, 0.8686287, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.470348, 2.330212, 3.095006, 3.083495, 3.07106, 3.062698, 
    3.072531, 3.102417, 3.146759, 3.186159, 3.22417, 3.272091, 3.334152, 
    3.392452, 3.444451, 3.489597, 3.50904, 3.46593, 3.388525, 3.290125, 
    3.192733, 3.11145, 3.047325, 2.973404, 2.875587, 2.782317, 2.71705, 
    2.660424, 2.590444, 2.515411, 2.425327, 2.304735, 2.18168, 2.074671, 
    1.975353, 1.875479, 1.782303, 1.703578, 1.626254, 1.546781, 1.479617, 
    1.434259, 1.407456, 1.400007, 1.409259, 1.425759, 1.446457, 1.471203, 
    1.499644, 1.531983, 1.562217, 1.593907, 1.629799, 1.658434, 0.5009764, 0, 
    0, 0, 0, 0, 0.2728771, 1.423015, 2.006462, 2.157607, 2.280386, 2.412932, 
    2.678508, 3.012287, 3.400912, 3.790485, 4.153471, 2.453853, 2.364811, 
    3.607095, 4.861378, 4.940962, 4.898804, 4.696362, 2.922502, 0.4218833, 
    2.554548, 3.755271, 2.364171, 0.1793594, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.105838, 1.379717, 1.597181, 
    1.065904, 2.015564, 2.078616, 1.514153, 0.2953033, 0, 0.2445634, 1.18486, 
    1.507964, 1.46197, 1.441123, 1.435027, 1.420531, 1.386831, 0.9502727, 0, 
    0.4498785, 1.20511, 1.269528, 1.273715, 1.283856, 1.307948, 1.341143, 
    1.37744, 1.41514, 1.458889, 1.514434, 1.570913, 1.630193, 1.693576, 
    1.758562, 1.816104, 1.870147, 1.922038, 1.967324, 2.002809, 2.044943, 
    2.113116, 2.195431, 2.267946, 2.328561, 2.378029, 2.416103, 2.440837, 
    2.44808, 2.435379, 2.414081,
  2.681526, 2.721414, 2.84318, 3.026337, 3.231389, 3.463738, 3.744934, 
    4.056675, 4.364421, 4.705761, 5.12248, 5.59273, 6.053572, 6.508815, 
    6.952911, 7.29088, 7.467233, 7.510616, 7.422527, 7.207071, 6.900839, 
    6.523574, 6.057125, 5.543719, 5.057444, 4.581306, 4.073878, 3.544209, 
    3.062991, 2.610825, 2.181867, 1.818757, 1.55959, 1.379521, 1.278596, 
    1.265303, 1.303843, 1.35637, 1.403696, 1.429922, 1.456696, 1.491517, 
    1.538585, 1.581401, 1.617769, 1.082192, 0.08454768, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.7687066, 2.60503, 3.084203, 3.097348, 3.096933, 
    3.116118, 3.154153, 3.201949, 3.239157, 3.270419, 3.308183, 3.361803, 
    3.41771, 3.470808, 3.517756, 3.541398, 3.505184, 3.435013, 3.342542, 
    3.247975, 3.160129, 3.085242, 2.996115, 2.879996, 2.768479, 2.683913, 
    2.608853, 2.521345, 2.430882, 2.32816, 2.199679, 2.075787, 1.972933, 
    1.882669, 1.795648, 1.717423, 1.652599, 1.588129, 1.521109, 1.46329, 
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  3.133822, 3.195777, 3.340092, 3.52147, 3.707656, 3.902249, 4.115707, 
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    2.658709, 2.690096, 2.710667, 2.725979, 2.741732, 2.764382,
  2.649512, 2.699938, 2.811093, 2.945507, 3.078468, 3.213878, 3.357493, 
    3.478063, 3.575964, 3.644807, 3.672366, 3.6752, 3.664755, 3.648378, 
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    2.466783, 2.494583, 2.519429, 2.537363, 2.549934, 2.560398, 2.57331, 
    2.593224,
  2.460028, 2.498567, 2.585893, 2.693428, 2.801801, 2.912627, 3.030005, 
    3.123982, 3.202089, 3.264381, 3.29361, 3.295577, 3.2791, 3.254219, 
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    2.397247, 2.404913, 2.419777,
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    1.213578, 1.316014, 1.431809, 1.567564, 1.733085, 1.905331, 2.063, 
    2.21718, 2.373623, 2.517269, 2.629913, 2.721562, 2.808168, 2.893576, 
    1.469546, 0, 0, 0, 0, 0, 0, 0, 0, 0.4426221, 0.5996575, 0.7421318, 
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    0.1471526, 1.473328, 1.481535, 1.493246, 1.511208, 1.533667, 1.56233, 
    1.594144, 1.644313, 1.710431, 1.789142, 0.5475434, 0.9170796, 1.386387, 
    2.192098, 2.259289, 2.280937, 2.287297, 2.285127, 2.280162, 2.273103, 
    2.265251, 2.259793, 2.256082, 2.252767, 2.248493, 2.244914, 2.242731, 
    2.244896, 2.254115,
  2.118959, 2.137516, 2.181878, 2.240341, 2.301008, 2.364822, 2.434385, 
    2.502448, 2.567804, 2.634907, 2.700185, 2.755757, 2.790232, 2.817007, 
    2.847023, 2.879186, 2.910342, 2.938707, 2.968678, 3.012956, 3.063977, 
    3.135642, 3.21436, 3.294631, 3.369999, 3.444668, 3.499975, 3.532222, 
    3.516823, 3.469177, 3.380562, 3.258442, 3.12163, 2.961722, 2.771766, 
    2.578868, 2.400234, 2.23668, 2.068145, 1.658179, 0.4660321, 0, 0, 0, 0, 
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    2.000135, 2.134904, 2.273408, 2.386496, 2.479295, 2.506869, 2.432623, 
    2.291974, 2.121585, 1.922904, 1.722997, 1.537828, 1.360376, 1.189033, 
    1.053513, 0.9722583, 0.9337162, 0.941373, 0.9874638, 1.052302, 1.133937, 
    1.239469, 1.363307, 1.496808, 1.646073, 1.821544, 1.995288, 2.146757, 
    2.289494, 2.430144, 2.557246, 2.6532, 2.726411, 2.790041, 2.85058, 
    2.152823, 0.4264236, 0, 0, 0, 0, 0, 0, 0.3399461, 1.102369, 1.218129, 
    1.154889, 1.15997, 1.168543, 0.6490852, 0.6109586, 0.6378959, 0.1951708, 
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    0.7186579, 0.7194034, 0.7208447, 0.7964244, 1.46353, 1.470033, 1.478988, 
    1.493347, 1.513402, 1.539057, 1.566468, 1.611281, 1.672492, 1.309251, 
    0.2716215, 0, 0.3227769, 1.638988, 2.233562, 2.251785, 2.251415, 
    2.239393, 2.223522, 2.203557, 2.181791, 2.162779, 2.146563, 2.131895, 
    2.118523, 2.107645, 2.099563, 2.096329, 2.099894,
  1.982871, 1.999675, 2.040336, 2.095046, 2.151157, 2.21042, 2.276031, 
    2.343769, 2.411647, 2.482669, 2.556489, 2.621509, 2.664284, 2.700053, 
    2.741964, 2.786327, 2.823187, 2.856194, 2.879067, 2.896901, 2.924125, 
    2.975485, 3.03414, 3.093695, 3.149844, 3.205292, 3.243092, 3.272363, 
    3.2754, 3.253936, 3.19661, 3.108474, 3.004336, 2.877442, 2.722286, 
    2.56427, 2.412689, 2.264996, 1.160998, 0.7011924, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.403334, 1.502286, 1.602642, 1.704276, 1.82513, 1.925321, 2.00346, 
    2.032576, 1.996242, 1.912594, 1.799532, 1.659206, 1.508512, 1.360256, 
    1.216204, 1.076056, 0.9655231, 0.9029136, 0.8781216, 0.8971953, 
    0.9591083, 1.041512, 1.141765, 1.266416, 1.40792, 1.554838, 1.71436, 
    1.897791, 2.073633, 2.21781, 2.347652, 2.470212, 2.577879, 2.653798, 
    2.704526, 2.739522, 2.767234, 2.776477, 1.752938, 1.284197, 0.8726778, 0, 
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    1.17467, 1.189588, 1.229002, 1.283003, 0.3927, 0.7202066, 1.466128, 
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    1.495955, 1.519314, 1.541982, 1.5818, 1.638765, 0.8388107, 0, 0, 0, 
    0.5516664, 1.8802, 2.214594, 2.21143, 2.193389, 2.1708, 2.141025, 
    2.108407, 2.078485, 2.052064, 2.027442, 2.005815, 1.989079, 1.97619, 
    1.968749, 1.968408,
  1.886239, 1.902339, 1.939699, 1.990515, 2.04253, 2.096649, 2.15732, 
    2.225132, 2.295588, 2.370939, 2.450384, 2.525103, 2.57702, 2.623333, 
    2.679183, 2.328743, 1.405534, 1.421537, 2.687122, 2.828082, 2.833943, 
    2.861535, 2.897972, 2.935954, 2.973524, 3.011089, 3.039002, 3.065448, 
    3.079592, 3.076191, 3.045249, 2.986598, 2.911997, 2.817088, 2.697866, 
    2.567508, 2.436906, 2.3049, 0.2272335, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.65253, 1.642796, 1.598148, 1.527591, 1.432829, 1.323312, 1.20945, 
    1.096653, 0.9867097, 0.9012837, 0.8553874, 0.842057, 0.8687847, 
    0.9393176, 1.033539, 1.148046, 1.287849, 1.44266, 1.59938, 1.766261, 
    1.955692, 2.134084, 2.272593, 2.389434, 2.491155, 2.575239, 2.62762, 
    2.652357, 2.655712, 2.64723, 2.621259, 2.567646, 2.367712, 0.8838307, 0, 
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    1.187002, 1.196071, 1.230389, 1.282997, 0.3927, 0.07342191, 0.7355778, 
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    1.480543, 1.500307, 1.51658, 1.549754, 1.600429, 1.234857, 0.2500718, 0, 
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    2.052745, 2.014668, 1.980439, 1.948407, 1.920673, 1.900233, 1.884341, 
    1.874298, 1.872995,
  1.829631, 1.845383, 1.880389, 1.926057, 1.972181, 2.020401, 2.074722, 
    2.136351, 2.202275, 2.274495, 2.354249, 2.435041, 2.495765, 2.552633, 
    2.623384, 2.282821, 1.3526, 0.4086855, 1.272593, 1.825344, 2.784631, 
    2.79495, 2.816212, 2.839822, 2.865678, 2.892581, 2.918581, 2.946128, 
    2.962668, 2.968708, 2.955584, 2.917154, 2.862822, 2.790286, 2.697387, 
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    0.820094, 0.8148712, 0.8466108, 0.9205061, 1.019554, 1.140306, 1.286364, 
    1.447214, 1.612785, 1.786062, 1.981591, 2.161688, 2.293772, 2.398213, 
    2.482009, 2.544418, 2.573739, 2.569145, 2.537769, 2.487974, 2.431249, 
    2.356601, 2.03715, 0, 0, 0, 0, 0.4069651, 1.328228, 1.281711, 1.252423, 
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    0.7273545, 1.229706, 1.44505, 1.445954, 1.447758, 1.450962, 1.45737, 
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    1.969379, 1.931283, 1.895887, 1.865638, 1.843141, 1.825544, 1.815238, 
    1.814687,
  1.796594, 1.811994, 1.8454, 1.884228, 1.92365, 1.966219, 2.015482, 
    2.070002, 2.12972, 2.197481, 2.275887, 2.359028, 2.424472, 2.487115, 
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    2.639026, 2.797466, 2.822367, 2.849363, 2.876008, 2.904505, 2.923101, 
    2.931893, 2.924626, 2.894053, 2.848524, 2.785843, 1.496658, 1.306157, 
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    1.957678, 2.131277, 2.250283, 2.340241, 2.407609, 2.451527, 2.463524, 
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    1.824991, 1.801891, 1.784735, 1.778115, 1.780447,
  1.780518, 1.794528, 1.823753, 1.856964, 1.89108, 1.927306, 1.971033, 
    2.016082, 2.067473, 2.127965, 2.201644, 2.28376, 2.35006, 2.413908, 
    1.26515, 0, 0, 0, 0, 0, 0, 0, 2.470448, 2.765164, 2.789616, 2.816869, 
    2.844516, 2.87431, 2.894354, 2.905297, 2.90273, 2.878855, 2.140901, 
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    1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 
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    1.219176, 1.196926, 1.151918, 1.091709, 1.025344, 0.9641234, 0.9053448, 
    0.8508084, 0.8103772, 0.7937555, 0.7967438, 0.8293, 0.9005094, 0.9972699, 
    1.112936, 1.251354, 1.405613, 1.568814, 1.737609, 1.92654, 2.096366, 
    2.209996, 2.290404, 2.343141, 2.365427, 2.359955, 2.32472, 2.263884, 
    2.18214, 2.10268, 2.023206, 1.935881, 1.566086, 0.8388637, 0.7867947, 
    1.416511, 1.401739, 1.346511, 1.313346, 1.283979, 1.255969, 0.9292039, 
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    1.854736, 1.817388, 1.786235, 1.766361, 1.753834, 1.753955, 1.761636,
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    0.8860469, 0.8411617, 0.8089818, 0.797466, 0.802066, 0.8332698, 
    0.9019292, 0.9942518, 1.104427, 1.237003, 1.38767, 1.549827, 1.719327, 
    1.91311, 2.089684, 2.2105, 2.294216, 2.340229, 2.339017, 2.311651, 
    2.257675, 2.179986, 2.084085, 1.99437, 1.909187, 1.825039, 1.745439, 
    1.656505, 1.565797, 1.474276, 1.392629, 1.345496, 1.316927, 1.291862, 
    1.2669, 0.6269736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.06867702, 0.8964152, 
    1.380827, 0.8966495, 0.6810082, 0.6665497, 0.3292194, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.7300903, 0.8787582, 0.9413317, 0.2893962, 0, 0.3090683, 
    1.026197, 1.014409, 0.9929479, 1.246256, 1.860628, 1.818185, 1.779889, 
    1.749289, 1.733632, 1.725676, 1.730868, 1.741813,
  1.735102, 1.743166, 1.758995, 1.779721, 1.803197, 1.832256, 1.863712, 
    1.885105, 1.915047, 1.953042, 1.802541, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7637, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 1.091, 0.1091, 0, 0, 0, 0.05407099, 0.5405611, 0.8131069, 
    1.0832, 1.07125, 1.045496, 1.011484, 0.9813087, 0.9558921, 0.9373898, 
    0.922441, 0.9106504, 0.9015646, 0.8958323, 0.899756, 0.9145378, 
    0.9405787, 0.975722, 1.015913, 0.6974282, 0.5129059, 0, 0, 0, 0.5156699, 
    0.9677716, 0.9197953, 0.8781134, 0.8420306, 0.8168071, 0.8089449, 
    0.8136938, 0.8436496, 0.9090654, 0.9952402, 1.097179, 1.220972, 1.362922, 
    1.517673, 1.68013, 1.868342, 2.040257, 2.158661, 2.241355, 2.281141, 
    2.26581, 2.22602, 2.161723, 2.076816, 1.975705, 1.882992, 1.798667, 
    1.719526, 1.652776, 1.585543, 1.51971, 1.448672, 1.383591, 1.34724, 
    1.324216, 1.303299, 1.281339, 0.6347166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1358701, 1.356593, 1.349913, 0.8659334, 0.06592692, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7414408, 0.89242, 0.9559663, 0.2938954, 0, 0, 0, 0, 0, 
    0.2816497, 0.9290057, 0.9071853, 1.656382, 1.712892, 1.699878, 1.694564, 
    1.702302, 1.714795,
  1.714066, 1.722796, 1.738416, 1.758593, 1.779984, 1.80838, 1.838484, 
    1.85255, 1.874025, 1.901464, 1.744519, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.3849835, 0.6040788, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 1.091, 1.091, 0.5960211, 0.5410234, 0.5410234, 0.5410234, 
    0.5959211, 1.0897, 1.0875, 0.7076077, 0.5400457, 0.681119, 1.019451, 
    0.995427, 0.9741601, 0.9570014, 0.9416536, 0.9277114, 0.9145302, 
    0.9039516, 0.9017274, 0.9075676, 0.9219706, 0.8043884, 0.5015826, 
    0.1528945, 0, 0, 0, 0, 0.09595861, 0.9495251, 0.9107766, 0.878334, 
    0.8513929, 0.8333089, 0.8281495, 0.8328015, 0.8608114, 0.920393, 
    0.9987316, 1.089682, 1.199948, 1.327365, 1.467482, 1.614599, 1.785477, 
    1.941043, 2.04674, 2.119179, 2.151056, 2.132413, 2.091066, 2.026613, 
    1.944846, 1.847773, 1.760492, 1.6844, 1.616452, 1.563341, 1.516263, 
    1.470237, 1.420553, 1.374382, 1.348252, 1.331227, 1.315205, 1.296589, 
    0.9603412, 0.1902756, 0, 0, 0, 0, 0, 0, 0, 0, 0.1315643, 1.314592, 
    1.31214, 0.862609, 0.06699531, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.781259, 0.8543035, 0.8486576, 0.8468933, 
    0.851531, 0.8583364,
  1.736239, 1.750909, 1.774967, 1.801139, 1.825375, 1.854523, 1.787606, 
    0.9342324, 0.9435112, 0.954908, 1.744177, 0.9742846, 0.9797871, 
    0.2947541, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05501714, 0.5501714, 0.8205857, 1.091, 
    1.091, 0.9287513, 0.5501714, 0.9287513, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 1.091, 1.091, 1.036867, 0.5495158, 0.5484064, 0.164295, 0, 
    0.1564282, 0.517141, 0.8604434, 0.9969981, 0.9816417, 0.9663886, 
    0.9511417, 0.9349477, 0.9203597, 0.9121836, 0.9085726, 0.9106727, 
    0.640201, 0, 0, 0, 0, 0, 0, 0.04785634, 0.6111431, 0.9104744, 0.888876, 
    0.8711895, 0.8598177, 0.8573545, 0.8619031, 0.8859271, 0.9363229, 
    1.003726, 1.081636, 1.174912, 1.2839, 1.405291, 1.532294, 1.681845, 
    1.820025, 1.913877, 1.977265, 2.00403, 1.985174, 1.944912, 1.88329, 
    1.807111, 1.718561, 1.64101, 1.576752, 1.522386, 1.483527, 1.453761, 
    1.425389, 1.394565, 1.364699, 1.345521, 1.335091, 1.324616, 1.30985, 
    1.29394, 0.8325233, 0.6358082, 0.4452045, 0, 0, 0, 0, 0, 0, 0.06545577, 
    0.6541039, 0.6530449, 0.1959135, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2590623,
  1.831914, 1.851848, 1.883425, 1.913172, 1.938378, 1.258085, 0.9756943, 
    1.009438, 1.008645, 1.008546, 1.795171, 0.9914914, 0.9970911, 0.2999597, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2751901, 0.5503801, 0.982876, 0.3852661, 
    0, 0.3852661, 0.6044421, 1.091, 1.091, 1.091, 1.036938, 0.5503801, 
    0.5503801, 0.5503801, 0.4953421, 0, 0, 0, 0, 0, 0.2601516, 0.8770283, 
    1.020347, 1.006937, 0.9923837, 0.9767836, 0.9598342, 0.9430909, 
    0.9306539, 0.9196293, 0.5038483, 0.3199368, 0, 0, 0, 0, 0, 0, 0, 
    0.1393859, 0.4608362, 0.7726281, 0.9000569, 0.8935363, 0.8940733, 
    0.8981291, 0.9137793, 0.9520401, 1.006252, 1.070264, 1.146289, 1.235623, 
    1.336809, 1.441154, 0.8893273, 0.8839882, 0.9282305, 0.9579944, 
    0.9706063, 0.9614248, 0.9418513, 1.477433, 1.659483, 1.584068, 1.520298, 
    1.470528, 1.431212, 1.405358, 1.389552, 1.375846, 1.360634, 1.345025, 
    1.333833, 1.328619, 1.322307, 1.312479, 1.300257, 1.289447, 1.283492, 
    1.089621, 0.6379909, 0.1916203, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5408849,
  0.95788, 0.9688315, 0.9860916, 1.001282, 1.013647, 0.3056839, 0.1028535, 
    1.028081, 1.556029, 2.08399, 1.030375, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4404835, 0, 0.2701978, 0.5403956, 0.595456, 1.091, 1.091, 
    1.091, 0.5495835, 0, 0, 0, 0, 0, 0, 0, 0.05329658, 0.5320742, 0.5299532, 
    0.5263798, 0.9894015, 1.030894, 1.017388, 1.002134, 0.9857288, 0.9682783, 
    0.9538831, 0.9394878, 0.09358877, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3257196, 0.8880658, 0.9329521, 0.9348035, 0.9370147, 0.9429531, 
    0.9661308, 1.004762, 1.052499, 1.109697, 1.177957, 1.258412, 1.341659, 
    0.1362533, 0, 0, 0, 0, 0, 0, 0.5758383, 1.431426, 1.444163, 1.396337, 
    1.361817, 1.336159, 1.322254, 1.317608, 1.315062, 1.312112, 1.307818, 
    1.30543, 1.304455, 1.302081, 1.298402, 1.291327, 1.283559, 1.279249, 
    1.278359, 1.279327, 0.3838767, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2823677,
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.275423, 0.550846, 0.6048614, 1.091, 
    1.091, 1.091, 0.5412232, 0, 0, 0, 0, 0, 0, 0, 0.05432725, 0.5423637, 
    0.2701216, 0, 0.5301666, 1.049875, 1.037917, 1.023858, 1.009197, 
    0.9930844, 0.979125, 0.6269135, 0.04786453, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.4339111, 0.4818262, 0.4826845, 0.81555, 0.958998, 0.9689956, 
    0.9918652, 1.022788, 1.061516, 1.108559, 1.169193, 1.232288, 0.6797143, 
    0.6425901, 0.6597206, 0.6692265, 0.6713554, 0.6667015, 0.6584828, 
    0.6447191, 1.274629, 1.305712, 1.273836, 1.253866, 1.241052, 1.238151, 
    1.24261, 1.248476, 1.254143, 1.258307, 1.262978, 1.267302, 1.270622, 
    1.272646, 1.270622, 1.267199, 1.265583, 1.264425, 1.262583, 0.8104991, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0.8074636, 1.142929, 1.126747, 1.112198, 1.874807, 2.076893, 
    1.074836, 0.5339543, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.05511074, 0.5511074, 0.8210537, 1.091, 1.035889, 0.5398926, 0.5398926, 
    0.1619678, 0, 0, 0, 0, 0, 0, 0, 0.3727288, 0.5844804, 1.062351, 1.052438, 
    1.040426, 1.028262, 1.015343, 0.7537248, 0.1494203, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.3391003, 0.9121388, 0.9631124, 0.9730719, 
    0.9883068, 1.008417, 1.035871, 1.078715, 1.12192, 1.172549, 1.218079, 
    1.242188, 1.256786, 1.262125, 1.256882, 1.246121, 1.225546, 1.202963, 
    1.178067, 1.162035, 1.156509, 1.155802, 1.161912, 1.173087, 1.184268, 
    1.194802, 1.205176, 1.215252, 1.224974, 1.234095, 1.241517, 1.244391, 
    1.245173, 1.247004, 1.247595, 1.245835, 1.240582, 1.169798, 0.6009089, 
    0.2988956, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 1.07536, 1.190552, 1.177643, 1.987664, 2.314002, 2.27878, 2.247005, 
    2.220131, 2.083077, 1.097728, 0.5453264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0.1618826, 0.8153043, 1.091, 1.091, 1.091, 
    0.8211956, 0.1654174, 0, 0, 0, 0, 0.05366412, 0.5363444, 0.5354047, 
    0.9151321, 1.075373, 1.070316, 1.062704, 1.053338, 1.04427, 1.034753, 
    0.7711543, 0.5086468, 0.05074598, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.436716, 0.4861441, 0.4882163, 0.8285757, 0.9802216, 0.9934648, 
    1.015195, 1.036224, 1.060326, 1.080512, 1.089411, 1.095849, 1.099826, 
    1.09937, 1.096944, 1.090965, 1.084528, 1.078079, 1.076115, 1.080141, 
    1.086624, 1.097465, 1.110819, 1.124511, 1.137946, 1.152726, 1.167254, 
    1.182128, 1.197045, 1.209718, 1.217146, 1.221774, 1.226908, 1.229546, 
    1.229339, 1.225279, 1.22761, 1.233936, 0.618838, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09234185, 0.9173349, 0.8932479, 0.8667374, 
    0.8365172, 0.7992739, 0.768856, 1.200821, 1.287133, 0.475014, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0,
  1.093922, 1.120566, 2.254576, 2.376947, 2.354801, 2.32708, 2.295761, 
    2.259247, 2.224997, 2.194956, 2.052827, 1.043057, 1.029414, 0.3071189, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.528721, 
    0.7162153, 0.6645591, 0.615424, 0.1783988, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2696497, 0.5392993, 0.5392993, 0.3775095, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05392993, 0.7048095, 
    1.091, 1.091, 1.03707, 0.5517007, 0.2758503, 0, 0, 0, 0, 0, 0.1085989, 
    1.085537, 1.083736, 1.081935, 1.079432, 1.075774, 1.07046, 1.063747, 
    1.058325, 1.052846, 0.7866344, 0.5200449, 0.05188312, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.344421, 0.4946595, 0.4993119, 
    0.5041664, 0.508667, 0.9605848, 1.016626, 1.020085, 1.022491, 1.024485, 
    1.025228, 1.025821, 1.027122, 1.028575, 1.030189, 1.03335, 1.03861, 
    1.04582, 1.05584, 1.067406, 1.080373, 1.095272, 1.111873, 1.129412, 
    1.147305, 1.165503, 1.181444, 1.191884, 1.198831, 1.206815, 1.213581, 
    1.224213, 1.23273, 1.259575, 1.297401, 1.018331, 0.7491367, 0.7379157, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.036631, 1.105687, 1.066241, 1.034061, 
    1.108353, 1.938833, 1.892258, 1.840092, 1.78003, 1.708783, 1.652869, 
    1.598347, 1.530781, 1.248784, 0.7256567, 0.6951079, 0.6595172, 0.6231354, 
    0.5993588, 0.573506, 0.5476038, 0.5426607, 0.2706383, 0, 0, 0, 0, 
    0.3775095, 0.4853694, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  2.139887, 2.195516, 2.269763, 2.285041, 2.271436, 2.249786, 2.223643, 
    2.192247, 2.161257, 2.133766, 2.103782, 2.076755, 2.053107, 1.304411, 
    0.8792811, 0, 0, 0, 0, 0, 0, 0, 0.09929518, 0.9938411, 0.9976449, 
    1.001795, 1.005351, 1.009452, 1.009007, 0.9829729, 0.9259152, 0.8663381, 
    0.8126397, 1.303611, 1.443021, 1.337188, 1.236849, 0.7456812, 0.5403931, 
    0.5389604, 0.5389604, 0.5389604, 0.5389604, 0.5389604, 0.5389604, 
    0.5389604, 0.5389604, 0.5389604, 0.8149802, 1.091, 1.091, 0.7636999, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.05520396, 0.5520396, 0.5520396, 0.5520396, 0.4968356, 0, 0, 0, 0, 0, 
    0, 0, 0.5395719, 1.087688, 1.086235, 1.084782, 1.082531, 1.080076, 
    1.07647, 1.072501, 1.069446, 1.066694, 0.53247, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3464957, 0.9563164, 
    1.013506, 1.016699, 1.0185, 1.020852, 1.022252, 1.023452, 1.024652, 
    1.024913, 1.024474, 1.025488, 1.028948, 1.035149, 1.043894, 1.054241, 
    1.065988, 1.08163, 1.100254, 1.11994, 1.138242, 1.155358, 1.170625, 
    1.181482, 1.18883, 1.203615, 1.221665, 1.250471, 1.278232, 1.330046, 
    1.396437, 1.478685, 1.591429, 1.666641, 1.003178, 1.08953, 1.167237, 
    0.1185614, 0, 0, 0, 0, 0.3890297, 1.28071, 1.243215, 2.264914, 2.290548, 
    2.214058, 2.151922, 2.112407, 2.086601, 2.04398, 1.995058, 1.937639, 
    1.87375, 1.827107, 1.78291, 1.712458, 1.616073, 1.53395, 1.465135, 
    1.387997, 1.308123, 1.249056, 1.183369, 1.114568, 1.098294, 0.8174742, 
    0.5391086, 0.5389604, 0.5389604, 0.5389604, 0.9253881, 0.5507317, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3741601, 0.5324395, 0.5289815, 0.5266103, 0.5245848, 0.5232016, 
    0.5229546, 0.5263633, 0.5404918, 0.583668, 0.6478393, 0.7172965, 
    0.789866, 0.8636705, 0.9368822,
  2.00033, 2.056693, 1.317244, 2.15936, 2.154014, 2.13923, 2.120728, 
    2.096684, 2.071108, 2.048341, 2.022327, 1.998466, 1.979558, 1.963077, 
    1.840818, 0.9338148, 0.9359869, 0.9419602, 0.9522778, 0.9630396, 
    0.972518, 0.9809597, 1.091027, 2.015502, 2.025671, 2.034811, 2.035544, 
    2.034761, 2.025962, 1.969165, 1.853566, 1.733312, 1.624266, 1.521875, 
    1.414884, 1.313657, 1.21912, 1.136492, 1.093703, 1.091, 1.091, 1.091, 
    1.091, 1.091, 1.091, 1.091, 0.6062714, 0.5524126, 0.5524126, 0.5524126, 
    0.5524126, 0.3866888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05385873, 0.5385873, 
    0.5385873, 0.5382418, 1.034759, 1.089194, 1.087994, 1.087139, 1.085482, 
    1.083384, 1.080975, 1.07892, 1.076962, 0.9153528, 0.2708898, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3551441, 
    0.5617012, 1.019816, 1.024209, 1.026501, 1.028849, 1.030249, 1.031449, 
    1.032649, 1.032295, 1.030156, 1.029956, 1.03221, 1.038113, 1.047016, 
    1.058456, 1.071295, 1.089175, 1.111456, 1.13438, 1.155195, 1.174204, 
    1.191509, 1.206202, 1.219133, 1.246837, 1.280594, 1.323366, 1.365775, 
    1.434851, 1.519785, 1.61686, 1.737424, 1.908777, 2.08836, 2.254866, 
    2.403527, 1.400258, 1.336052, 1.370164, 1.386653, 1.377125, 1.739037, 
    2.61817, 2.546664, 2.471356, 2.384501, 2.314708, 2.257879, 2.220073, 
    2.195661, 2.156885, 2.111464, 2.057491, 1.999408, 1.959025, 1.922132, 
    1.850993, 1.744206, 1.650373, 1.565684, 0.8785459, 1.372844, 1.287981, 
    1.196782, 1.101309, 1.07545, 1.070551, 1.068443, 1.072734, 1.07851, 
    1.083842, 1.089519, 0.1091, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4847286, 0.5385873, 0.5385873, 0.5385873, 0.5383899, 
    0.5361685, 0.5334039, 0.9127561, 1.07, 1.06147, 1.055139, 1.0502, 
    1.046265, 1.044629, 1.051184, 1.078747, 1.161112, 1.283459, 1.415962, 
    1.554766, 1.696515, 1.83805,
  1.876779, 1.930698, 1.168041, 2.036491, 2.037505, 2.026984, 2.013718, 
    1.994649, 1.972678, 1.952117, 1.926871, 1.903082, 1.883945, 1.868317, 
    1.851949, 1.841186, 1.842972, 1.852803, 1.87094, 1.891606, 1.910559, 
    1.927413, 1.943769, 1.959119, 1.971819, 1.982064, 1.977299, 1.968334, 
    1.952272, 1.895564, 1.787806, 1.675206, 1.57291, 1.475877, 1.374392, 
    1.285113, 1.202594, 1.130584, 1.093352, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 0.7142779, 0.05528255, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1614523, 0.5381745, 0.5381745, 0.593457, 1.091, 1.091, 1.0903, 1.09, 
    1.089848, 1.088993, 1.088493, 1.087492, 1.08618, 1.084726, 1.083273, 
    1.02855, 0.3827215, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.1022973, 1.024473, 1.029473, 1.032373, 
    1.034824, 1.035928, 1.037226, 1.03818, 1.038229, 1.035525, 1.03498, 
    1.037225, 1.043122, 1.052315, 1.065206, 1.080189, 1.100774, 1.126991, 
    1.154359, 1.180672, 1.206277, 1.231567, 1.255158, 1.279429, 1.321734, 
    1.369248, 1.423575, 1.474459, 1.546943, 1.633394, 1.727956, 1.840746, 
    1.998375, 2.164666, 2.319805, 2.456053, 2.599081, 2.712862, 2.779693, 
    2.81186, 2.79473, 2.724915, 2.658559, 2.595357, 2.528504, 2.449804, 
    2.386364, 2.334478, 2.299152, 2.276687, 2.241517, 2.199691, 2.149318, 
    2.096728, 2.061396, 2.027501, 1.9519, 1.835661, 1.73059, 1.068627, 
    0.151761, 0.9002075, 1.281114, 1.166469, 1.054407, 1.020374, 1.01123, 
    1.008694, 1.016609, 1.027569, 1.037284, 1.046663, 0.5504918, 0.4931869, 
    0.2459028, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.3767221, 0.5381745, 0.5381745, 0.5381745, 0.5381745, 
    0.5381745, 0.5381745, 0.5381745, 0.5381745, 0.05381745, 0, 0, 0, 
    0.05381745, 0.5381745, 0.5381745, 0.5381745, 1.035717, 1.091, 1.091, 
    1.090309, 1.088627, 1.082844, 1.075814, 1.065983, 1.054601, 1.043366, 
    1.034628, 1.027298, 1.02131, 1.018609, 1.024661, 1.049632, 1.122738, 
    1.230481, 1.347923, 1.47132, 1.598511, 1.727094,
  1.769206, 1.817911, 1.888433, 1.916375, 1.919138, 1.909992, 1.897399, 
    1.879011, 1.857428, 1.836545, 1.812966, 1.789943, 1.771371, 1.755598, 
    1.741978, 1.733164, 1.733546, 1.739567, 1.752649, 1.770227, 1.787399, 
    1.802816, 1.819899, 1.836973, 1.850856, 1.862984, 1.862292, 1.857548, 
    1.845453, 1.798673, 1.706959, 1.608266, 1.518342, 1.432274, 1.342251, 
    1.263337, 1.190078, 1.126275, 1.093101, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 0.3273, 0, 0, 0, 0, 0, 0.1613144, 0.5377147, 0.5377147, 
    0.5377147, 0.5377147, 0.5377147, 0.5377147, 0.5377147, 0.5377147, 
    0.5377147, 0.5377147, 0.5377147, 0.5377147, 0.5377147, 0.5377147, 
    0.05377147, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.05377147, 
    0.7037003, 1.091, 1.091, 1.091, 1.091, 1.091, 1.090645, 1.090443, 1.09, 
    1.089746, 1.089493, 1.088987, 1.088341, 1.087732, 1.086779, 0.9770308, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.05198143, 0.6731657, 1.032486, 1.035041, 1.036898, 1.037945, 
    1.039, 1.0397, 1.0398, 1.037548, 1.036993, 1.039593, 1.046186, 1.056774, 
    1.071211, 1.088447, 1.111921, 1.142691, 1.174857, 1.206668, 1.239365, 
    1.273157, 1.30589, 1.341068, 1.391258, 1.444765, 1.504072, 1.554989, 
    1.62272, 1.703497, 1.790193, 1.8923, 2.035222, 2.193734, 2.341154, 
    2.470008, 2.607558, 2.714522, 2.774882, 2.803022, 2.787432, 2.725292, 
    2.666839, 2.610497, 2.550849, 2.479744, 2.4224, 2.375566, 2.343794, 
    2.323231, 2.290568, 2.254364, 2.21163, 2.161635, 2.126468, 2.088176, 
    2.00375, 1.877529, 1.760268, 1.06756, 0.7364374, 0.6775003, 0.6453305, 
    0.5812792, 0.5210822, 0.5012531, 0.7196965, 0.9437996, 0.9501067, 
    0.9596661, 0.9676746, 0.9735932, 0.9723567, 0.9674681, 0.7096922, 
    0.4529914, 0.4473727, 0.4446619, 0.4411134, 0.4385997, 0.4366775, 
    0.3046393, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2688573, 0.5377147, 0.5377147, 
    0.5377147, 0.5377147, 0.5377147, 0.1075429, 0.5377147, 0.5377147, 
    0.9250144, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 
    0.1628715, 0.5377147, 0.5377147, 0.5377147, 0.5930432, 1.091, 1.091, 
    1.091, 1.090951, 1.090359, 1.089768, 1.087776, 1.083249, 1.075261, 
    1.065825, 1.053589, 1.040544, 1.027404, 1.016868, 1.008066, 1.001314, 
    0.9985663, 1.003875, 1.025993, 1.09095, 1.186278, 1.290617, 1.400902, 
    1.514992, 1.631772,
  1.66139, 1.703088, 1.76381, 1.785954, 1.786327, 1.775154, 1.760281, 
    1.746055, 1.727981, 1.709575, 1.691275, 1.672928, 1.658538, 1.646603, 
    1.636372, 1.630197, 1.630715, 1.633344, 1.642519, 1.656691, 1.671799, 
    1.685506, 1.702822, 1.720737, 1.736575, 1.752048, 1.756761, 1.757721, 
    1.751431, 1.714319, 1.637711, 1.552259, 1.474058, 1.397634, 1.317069, 
    1.246116, 1.180068, 1.122777, 1.092901, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 0.7033395, 0.5371992, 0.5371992, 0.5371992, 0.5371992, 
    0.5371992, 0.7033394, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 0.5925793, 0.5371992, 
    0.5371992, 0.5371992, 0.5371992, 0.5371992, 0.5371992, 0.5371992, 
    0.5371992, 0.5371992, 0.5371992, 0.5371992, 0.5371992, 0.5371992, 
    0.5371992, 0.5371992, 0.5925793, 1.091, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 1.090949, 1.090492, 1.090492, 1.090492, 1.090442, 1.089985, 
    1.089985, 1.08963, 0.9801234, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1571556, 0.5246133, 
    0.8835018, 1.037492, 1.038152, 1.038508, 1.038863, 1.038766, 1.036371, 
    1.036515, 1.03946, 1.0472, 1.05924, 1.075723, 1.095351, 1.121981, 
    1.156604, 1.192878, 1.229842, 1.269395, 1.310643, 1.351196, 1.392825, 
    1.443528, 1.497513, 1.556658, 1.605668, 1.670282, 1.74736, 1.828987, 
    1.925315, 2.061342, 2.213231, 2.348, 2.466648, 2.595133, 2.691477, 
    2.742604, 2.76362, 2.745203, 2.68738, 2.635388, 2.584107, 2.529875, 
    2.471341, 2.423837, 2.3851, 2.359824, 2.344457, 2.316056, 2.286266, 
    2.251043, 2.198526, 2.151916, 2.100407, 2.001647, 1.86192, 1.732657, 
    1.604773, 1.460914, 1.120305, 0.2974045, 0, 0, 0, 0.4461674, 0.8940794, 
    0.8995348, 0.9077947, 0.9146038, 0.9186129, 0.9153789, 0.9094326, 
    0.9016418, 0.893151, 0.8807169, 0.8751184, 0.8679185, 0.8624738, 
    0.8583767, 0.7194342, 0.4037611, 0.4045982, 0.4056814, 0.2843561, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4834793, 
    0.5371992, 0.5371992, 0.5371992, 0.5371992, 0.5371992, 0.8140996, 1.091, 
    1.091, 1.091, 1.091, 1.091, 0.6479594, 1.091, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 0.6479594, 1.091, 1.091, 1.091, 
    1.091, 1.090852, 1.090508, 1.090508, 1.089964, 1.08842, 1.086284, 
    1.083093, 1.07591, 1.066321, 1.05533, 1.041884, 1.028041, 1.014091, 
    1.002591, 0.9938914, 0.9868481, 0.9838989, 0.9885989, 1.008365, 1.066261, 
    1.151531, 1.244558, 1.343885, 1.440703, 1.540921,
  1.539042, 1.574099, 1.62513, 1.640444, 1.63654, 1.624869, 1.612497, 
    1.607578, 1.597329, 1.586713, 1.575845, 1.564333, 1.555339, 1.548788, 
    1.543441, 1.541203, 1.54193, 1.544056, 1.550474, 1.562289, 1.5762, 
    1.588712, 1.604175, 1.619993, 1.635757, 1.651877, 1.660749, 1.666759, 
    1.665176, 1.637291, 1.575564, 1.504489, 1.439236, 1.372605, 1.300242, 
    1.23476, 1.173533, 1.12036, 1.092751, 1.091, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 1.091, 1.091, 1.091, 0.7153681, 0.554383, 0.554383, 
    0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 
    0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 
    0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 
    0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 0.554383, 
    0.8226915, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 1.091, 
    1.091, 1.091, 1.091, 1.091, 1.091, 0.9300149, 0.554383, 0.554383, 
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    1.178081, 1.006701, 0.8379752, 0.70671,
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    1.236796, 0.9198759, 1.025754, 1.010048, 0.9291161, 0.9193395, 0.7580888,
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    1.735194, 1.86709, 1.996542, 2.104552, 2.124502, 2.097102, 2.039595, 
    1.921122, 1.475837, 0.3786087, 0.3930058, 0.9407946, 0.815123,
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  0.774563, 0.7350023, 0.6656812, 0.6071156, 0.5690051, 0.5617208, 0.6011044, 
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    0.560629, 0.5620344, 0.4295295, 0.293496, 0.2819854, 0.1163022, 
    0.1938369, 0, 0.6001969, 0.7425101, 1.262877, 1.769014, 1.79769, 
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    2.38072, 2.235654, 2.016829, 0.9385818, 0.5067717, 0.6557053, 0.9416002,
  0.8075477, 0.7613361, 0.6808699, 0.6139573, 0.5707508, 0.5734184, 
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    2.082139, 2.382293, 2.657008, 2.871069, 3.053918, 2.076104, 0.1625327, 0, 
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    0.6302797, 0.6525887, 0.6760477, 0.7012556, 0.728215, 0.7452162, 
    0.7570674, 0.7661163, 0.771314, 0.7718093, 0.7673034, 0.7585975, 
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    0.6880263, 0.6753263, 0.6609765, 0.6454775, 0.6297771, 0.6154768, 
    0.6011732, 0.5891204, 0.5802673, 0.5735164, 0.5681135, 0.5645627, 
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    1.294683, 1.240642, 0.9939756,
  0.8300254, 0.7778676, 0.6890067, 0.6167016, 0.5715016, 0.5844171, 0.663599, 
    0.7571301, 0.8561078, 0.9512321, 1.047705, 1.135625, 1.205441, 1.260205, 
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    2.642279, 2.571087, 2.300834, 0.7759323, 0.8830238, 1.592799, 1.2843, 
    1.031045,
  0.8400061, 0.785055, 0.6921031, 0.6175511, 0.572, 0.5901511, 0.6870244, 
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    1.015279, 0.8918529,
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    2.565086, 2.373874, 2.187059, 2.003747, 1.82234, 1.711589, 1.64254, 
    1.569997, 1.468359, 1.34178, 1.207104, 1.074183, 0.9500604, 0.8459342,
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    1.089617, 0.9799939, 0.8779185, 0.7922385,
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    1.246584, 1.168446, 1.075315, 0.9816371, 0.8935594, 0.8107287, 0.7408948,
  0.6359723, 0.6163783, 0.5871382, 0.5686463, 0.5602505, 0.5745891, 
    0.6298171, 0.7127969, 0.8069308, 0.8961663, 0.9855524, 1.068992, 
    1.142383, 1.214375, 1.265984, 1.279048, 1.260415, 1.191032, 1.095048, 
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    2.68243, 2.700227, 2.69983, 2.646043, 2.537905, 2.383016, 2.218677, 
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    1.11062, 1.042429, 0.9659966, 0.8911654, 0.8205313, 0.7530956, 0.6962579,
  0.6209959, 0.6066509, 0.5850069, 0.5714092, 0.5645081, 0.567045, 0.6017743, 
    0.664753, 0.7431864, 0.8188226, 0.8957606, 0.9694005, 1.035144, 1.100538, 
    1.160997, 1.187862, 1.182924, 1.127936, 1.04585, 0.9695105, 0.9024685, 
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    1.128492, 1.074194, 1.01989, 0.9563402, 0.8904952, 0.8287036, 0.770063, 
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    1.136119, 1.108775, 1.08258, 1.053233, 1.019433, 0.9839822,
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    0.7572559, 0.7278028, 0.7036002, 0.6838475, 0.6696449, 0.6607936, 
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    1.140293, 1.103242,
  1.182095, 1.153392, 1.095587, 1.02988, 0.9635727, 0.8983152, 0.8356082, 
    0.7922535, 0.7848011, 0.8064027, 0.8525061, 0.9085103, 0.9663144, 
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    0.8327976, 0.849191, 0.8840374, 0.9099873, 0.9135401, 0.9061439, 
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    1.495534, 1.461234, 1.425186, 1.391591, 1.367597, 1.354254, 1.346161, 
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    1.367731, 1.359487, 1.349093, 1.334347, 1.312249, 1.28065, 1.241849,
  1.3331, 1.300548, 1.234443, 1.158336, 1.081329, 1.005022, 0.9318658, 
    0.8811109, 0.8708097, 0.895512, 0.946565, 1.008518, 1.072322, 1.141376, 
    1.218079, 1.288931, 1.323332, 1.288077, 1.196815, 1.094003, 1.000543, 
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    1.101638, 1.028132, 0.9707754, 0.931271, 0.8937676, 0.8637639, 0.8412572, 
    0.8317009, 0.8379444, 0.8659892, 0.8912385, 0.8989911, 0.8976451, 
    0.8772497, 0.8477541, 0.8140593, 0.7757156, 0.7404724, 0.7160294, 
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    0.9499822, 1.029338, 1.124094, 1.22555, 1.319304, 1.404106, 1.495908, 
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    1.083581, 1.043828, 0.9962751, 0.9513724, 0.9133197, 0.882268, 0.8559157, 
    0.835964, 0.8225626, 0.8123115, 0.8047607, 0.80046, 0.79906, 0.7990601, 
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    0.7675557, 0.7557037, 0.7409513, 0.7243487, 0.7080457, 0.6927931, 
    0.6776395, 0.6640368, 0.6527841, 0.6429314, 0.6341776, 0.6279745, 
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    0.9284787, 1.845948, 1.820248, 0.5422494, 0, 0, 0.4130161, 1.383201, 
    1.600185, 1.578284, 1.555733, 1.532133, 1.501482, 1.469333, 1.437235, 
    1.405489, 1.380144, 1.366001, 1.363007, 1.366665, 1.377424, 1.394983, 
    1.415792, 1.438701, 1.462211, 1.48007, 1.490578, 1.496535, 1.498442, 
    1.497048, 1.488602, 1.470004, 1.439505, 1.398954,
  1.499601, 1.463549, 1.388894, 1.302939, 1.215833, 1.129077, 1.045672, 
    0.9881181, 0.9753163, 1.003118, 1.05812, 1.124722, 1.193324, 1.267177, 
    1.348579, 1.42293, 1.456829, 1.411273, 1.300911, 1.179951, 1.070291, 
    0.9637821, 0.8516728, 0.7422645, 0.6497573, 0.5754519, 0.5580501, 0.558, 
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    0.55805, 0.5588006, 0.5597509, 0.5617516, 0.5646029, 0.5687044, 
    0.5737562, 0.5791582, 0.585611, 0.593164, 0.5995164, 0.6058688, 
    0.6126727, 0.6217268, 0.6327807, 0.6445338, 0.6586878, 0.6750906, 
    0.6910439, 0.7080466, 0.7287485, 0.7519501, 0.7730508, 0.7941517, 
    0.8169027, 0.8372538, 0.8548041, 0.8755048, 0.9028056, 0.9343571, 
    0.9665585, 1.00261, 1.046813, 1.101367, 1.161072, 1.228828, 1.305035, 
    1.381293, 1.450599, 1.51465, 1.564197, 1.602744, 1.63284, 1.660485, 
    1.686126, 1.441304, 0.4170119, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.850175, 1.160784, 1.078279, 
    1.010773, 0.9635682, 0.9208152, 0.885963, 0.854759, 0.8344023, 0.8299959, 
    0.8491403, 0.8727392, 0.8851421, 0.8906965, 0.8782014, 0.8572573, 
    0.8328132, 0.8052198, 0.781477, 0.7692848, 0.7861421, 0.8312008, 
    0.8849092, 0.9300666, 0.9710233, 1.021379, 1.087434, 1.174337, 1.277691, 
    1.386945, 1.486048, 1.573349, 1.666949, 1.77675, 1.890751, 1.996352, 
    2.088653, 2.189556, 2.267702, 2.316349, 2.376898, 1.256498, 0, 0, 0, 0, 
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    1.380819, 1.438673, 1.463575, 1.483926, 0.7767909, 0, 0.7252953, 
    1.415242, 1.343892, 1.27154, 1.221085, 1.176583, 1.125281, 1.076328, 
    1.034326, 1.000024, 0.9704725, 0.947871, 0.9323199, 0.9202688, 0.9113178, 
    0.9063177, 0.9045672, 0.9045672, 0.9045672, 0.9045672, 0.9045672, 
    0.9045672, 0.9045672, 0.9045672, 0.9045672, 0.9045672, 0.9045672, 
    0.9039673, 0.9010673, 0.8964168, 0.8884161, 0.8777143, 0.8655626, 
    0.8509611, 0.832409, 0.811156, 0.7900532, 0.7703504, 0.7496973, 
    0.7308437, 0.7147906, 0.6997871, 0.6851838, 0.6732801, 0.6652772, 
    0.6593751, 0.6562223, 0.6569207, 0.6615193, 0.6699683, 0.6832686, 
    0.7009689, 0.7220193, 0.7476193, 0.7820704, 0.8242204, 0.8680187, 
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    0.8224971, 1.615941, 1.577989, 1.554487, 1.530736, 1.506286, 1.474635, 
    1.443135, 1.414488, 1.390393, 1.374749, 1.371706, 1.380013, 1.39637, 
    1.421529, 1.454438, 1.489547, 1.526755, 1.565214, 1.598023, 1.62158, 
    1.638837, 1.651793, 1.659349, 1.657352, 1.642404, 1.613305, 1.571204,
  1.670091, 1.63089, 1.549337, 1.455333, 1.359829, 1.264675, 1.172922, 
    1.109769, 1.093317, 1.121666, 1.180018, 1.249319, 1.320319, 1.39657, 
    1.48047, 1.555469, 1.586818, 1.531713, 1.403855, 1.264244, 1.138536, 
    1.017028, 0.8902207, 0.7671136, 0.6627574, 0.5790523, 0.5586006, 0.558, 
    0.558, 0.558, 0.558, 0.558, 0.558, 0.558, 0.558, 0.558, 0.558, 0.5583504, 
    0.5586005, 0.5601009, 0.5625021, 0.5663035, 0.5720553, 0.578957, 
    0.5875093, 0.5971119, 0.6090652, 0.621718, 0.6327709, 0.6441742, 
    0.6576278, 0.6733813, 0.6905342, 0.7080377, 0.7280903, 0.7492929, 
    0.7700452, 0.791147, 0.8151489, 0.8405499, 0.8638014, 0.887053, 
    0.9119043, 0.9340553, 0.9528063, 0.9747069, 1.003308, 1.036458, 1.071059, 
    1.109861, 1.157962, 1.218665, 1.286069, 1.363974, 1.453132, 1.542989, 
    1.623095, 1.689197, 1.735095, 1.769344, 1.795092, 1.814889, 1.827182, 
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    0.9937158, 0.9453625, 0.9060599, 0.8700082, 0.8399038, 0.8240974, 
    0.8342928, 0.8564924, 0.8741454, 0.8872995, 0.8842553, 0.8740115, 
    0.8606179, 0.845275, 0.8347828, 0.83579, 0.8651468, 0.9242039, 0.9920614, 
    1.049568, 1.101474, 1.160828, 1.234432, 1.327335, 1.436338, 1.549889, 
    1.651839, 1.74009, 1.833239, 1.942237, 2.056036, 2.162586, 2.255136, 
    2.359487, 2.431784, 2.476582, 2.53328, 2.344521, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.369902, 1.239443, 1.506122, 
    1.567472, 1.595073, 1.616724, 1.473519, 0, 0.8042938, 1.57639, 1.508093, 
    1.433392, 1.375839, 1.326686, 1.272685, 1.219933, 1.174331, 1.13678, 
    1.104028, 1.078776, 1.061325, 1.047725, 1.037374, 1.031673, 1.029573, 
    1.029573, 1.029573, 1.029573, 1.029573, 1.029573, 1.029573, 1.029573, 
    1.029573, 1.029573, 1.029573, 1.028973, 1.025823, 1.019872, 1.010371, 
    0.9974704, 0.9825691, 0.9652174, 0.9428152, 0.9164624, 0.8903096, 
    0.8652064, 0.8387029, 0.8138496, 0.7915457, 0.7702922, 0.7491381, 
    0.7302839, 0.7165305, 0.7059273, 0.698325, 0.6952224, 0.6965201, 
    0.7037697, 0.7168192, 0.7352698, 0.7572704, 0.7838215, 0.8205228, 
    0.8640745, 0.9082764, 0.9619272, 1.029728, 1.113425, 0.8916001, 
    0.6467028, 0.7690794, 1.245509, 0.3824156, 0, 0, 0, 0, 1.286597, 
    1.843096, 1.831295, 1.805996, 0.5381987, 0, 0.2501719, 1.232949, 1.59944, 
    1.558089, 1.533188, 1.508489, 1.483438, 1.451739, 1.42204, 1.398744, 
    1.383149, 1.377904, 1.387061, 1.407268, 1.436575, 1.476983, 1.524891, 
    1.573798, 1.624805, 1.677713, 1.72467, 1.760326, 1.788282, 1.811587, 
    1.82669, 1.829843, 1.818294, 1.790145, 1.746594,
  1.83308, 1.791779, 1.706278, 1.607476, 1.506575, 1.406022, 1.309021, 
    1.241719, 1.221317, 1.247466, 1.306414, 1.375664, 1.445812, 1.520861, 
    1.602908, 1.675056, 1.703054, 1.642503, 1.501648, 1.345791, 1.206785, 
    1.07303, 0.9338748, 0.8000706, 0.6857664, 0.5931622, 0.5665075, 
    0.5650071, 0.5650071, 0.5650071, 0.5650071, 0.5650071, 0.5650071, 
    0.5650071, 0.5650071, 0.5650071, 0.5650071, 0.5657071, 0.5661572, 
    0.5684075, 0.5725081, 0.5787092, 0.5875606, 0.5980127, 0.6107649, 
    0.624917, 0.6426198, 0.6615735, 0.6780262, 0.695179, 0.7146818, 
    0.7367349, 0.7590373, 0.7816893, 0.8065917, 0.8320436, 0.8560448, 
    0.8803964, 0.9070974, 0.9347988, 0.9610504, 0.9873019, 1.014903, 
    1.039655, 1.060306, 1.083407, 1.113307, 1.147758, 1.183809, 1.224409, 
    1.275511, 1.340663, 1.414816, 1.50192, 1.603576, 1.705982, 1.794334, 
    1.860283, 1.904583, 1.937683, 1.962083, 1.977031, 1.876373, 0.6632811, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4566395, 1.202656, 1.16987, 1.082766, 1.021213, 0.9669601, 
    0.9233083, 0.8842568, 0.8469536, 0.8211995, 0.8235959, 0.8449954, 
    0.8681483, 0.8895527, 0.898109, 0.8995151, 0.8984715, 0.8972792, 
    0.9010864, 0.9157936, 0.9574496, 1.028755, 1.109411, 1.177816, 1.23922, 
    1.306724, 1.386628, 1.48458, 1.597581, 1.713233, 1.815182, 1.901579, 
    1.990076, 2.093372, 2.203118, 2.306816, 2.397214, 2.497208, 2.562554, 
    2.60205, 2.653447, 2.592184, 0.9981545, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7785398, 1.586129, 1.645023, 1.704371, 
    1.732821, 1.755321, 1.696861, 0.9385445, 1.356015, 1.744786, 1.684141, 
    1.610493, 1.54734, 1.493638, 1.437587, 1.381686, 1.333085, 1.292533, 
    1.257032, 1.229181, 1.209579, 1.194529, 1.182878, 1.176178, 1.174078, 
    1.174078, 1.174078, 1.174078, 1.174078, 1.174078, 1.174078, 1.174078, 
    1.174078, 1.174078, 1.174078, 1.173327, 1.169327, 1.162176, 1.151326, 
    1.136525, 1.119324, 1.098622, 1.07222, 1.040767, 1.009315, 0.9778613, 
    0.9446578, 0.9127036, 0.8835503, 0.8550963, 0.8246408, 0.796335, 
    0.7745302, 0.7562254, 0.7413701, 0.7321665, 0.7305156, 0.7365648, 
    0.7491148, 0.7705172, 0.7957699, 0.8255722, 0.8659746, 0.9131268, 
    0.9607785, 1.015429, 1.082478, 1.162226, 1.236023, 1.31157, 1.406263, 
    1.49346, 0.7682543, 0, 0, 0, 0, 0.6412534, 1.744704, 1.825748, 1.80175, 
    1.155723, 0.1734245, 1.093698, 1.639494, 1.583193, 1.539742, 1.514692, 
    1.489992, 1.465293, 1.436345, 1.411548, 1.395252, 1.388056, 1.393462, 
    1.414417, 1.446273, 1.488279, 1.542936, 1.604692, 1.666549, 1.729805, 
    1.79556, 1.853715, 1.899319, 1.936173, 1.966976, 1.987728, 1.99433, 
    1.985181, 1.957581, 1.913131,
  1.985568, 1.943918, 1.857269, 1.757169, 1.654569, 1.551969, 1.453019, 
    1.383318, 1.359316, 1.382214, 1.437462, 1.50311, 1.568807, 1.639054, 
    1.715, 1.781847, 1.805795, 1.743295, 1.598045, 1.435946, 1.291796, 
    1.153947, 1.011499, 0.8756511, 0.7588027, 0.6629536, 0.6314533, 
    0.6290529, 0.6290529, 0.6294032, 0.626, 0.6206952, 0.6152901, 0.6105857, 
    0.6071826, 0.6112364, 0.6162911, 0.6220458, 0.6214948, 0.6242449, 
    0.6297957, 0.6377962, 0.6495977, 0.661347, 0.6690403, 0.6781337, 
    0.6918775, 0.7154284, 0.7370306, 0.7593328, 0.7841852, 0.811287, 
    0.838039, 0.8647909, 0.8935922, 0.9226439, 0.949045, 0.9761461, 1.005197, 
    1.036049, 1.06505, 1.094402, 1.124953, 1.152754, 1.175555, 1.200106, 
    1.231307, 1.266757, 1.303307, 1.345107, 1.398558, 1.46721, 1.546562, 
    1.640965, 1.752618, 1.864222, 1.95307, 2.017069, 2.061569, 2.09532, 
    2.120571, 2.134271, 1.034845, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6411701, 1.202862, 
    1.11001, 1.043058, 0.9859583, 0.9403582, 0.8992577, 0.8567557, 0.8241532, 
    0.8202007, 0.8410004, 0.8695028, 0.899807, 0.9207627, 0.9347688, 
    0.9470252, 0.9612324, 0.9800397, 1.009297, 1.062702, 1.144206, 1.23496, 
    1.312564, 1.381417, 1.45607, 1.541172, 1.643074, 1.758625, 1.875074, 
    1.975273, 2.056571, 2.136816, 2.22951, 2.330155, 2.426551, 2.510696, 
    2.59849, 2.653585, 2.685281, 2.730278, 2.802826, 2.013918, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8595385, 1.743924, 
    1.793971, 1.846316, 1.874316, 1.897767, 1.930869, 1.952371, 1.948076, 
    1.918932, 1.869738, 1.801341, 1.73434, 1.676788, 1.619038, 1.560587, 
    1.509586, 1.466635, 1.428584, 1.398733, 1.377082, 1.360331, 1.347381, 
    1.33968, 1.33758, 1.33758, 1.33758, 1.33758, 1.33758, 1.33758, 1.33758, 
    1.33758, 1.33758, 1.33758, 1.33758, 1.33668, 1.33208, 1.323979, 1.311729, 
    1.294578, 1.275077, 1.251025, 1.220623, 1.183771, 1.146317, 1.108515, 
    1.067561, 1.026907, 0.9903027, 0.9526477, 0.9106421, 0.8712372, 
    0.8402832, 0.8117781, 0.7864733, 0.7697196, 0.7660186, 0.7703678, 
    0.7857203, 0.8122228, 0.8412739, 0.8748752, 0.9194269, 0.970028, 
    1.019278, 1.072727, 1.137325, 1.212373, 1.28077, 1.349167, 1.431461, 
    1.512158, 0.7755028, 0, 0, 0, 0.4524192, 0.9093927, 1.739032, 1.822649, 
    1.80125, 1.773901, 0.3466001, 1.68595, 1.631998, 1.572797, 1.528397, 
    1.504348, 1.480248, 1.457199, 1.433902, 1.416056, 1.406259, 1.407312, 
    1.423417, 1.455272, 1.498277, 1.551782, 1.618537, 1.693043, 1.765797, 
    1.838901, 1.914455, 1.981008, 2.033561, 2.076313, 2.111914, 2.136316, 
    2.145066, 2.137367, 2.110567, 2.066468,
  2.126557, 2.085958, 2.00126, 1.903111, 1.802313, 1.701514, 1.603915, 
    1.533866, 1.507315, 1.526263, 1.57546, 1.634307, 1.692553, 1.754649, 
    1.821545, 1.880641, 1.900039, 1.836838, 1.69394, 1.533391, 1.391292, 
    1.256544, 1.119447, 0.9888493, 0.8760513, 0.7825025, 0.7500518, 
    0.7470517, 0.7470518, 0.7474014, 0.7403513, 0.7285502, 0.7165492, 
    0.7066488, 0.7029514, 0.7161557, 0.7310598, 0.7466639, 0.7503183, 
    0.7529682, 0.7570661, 0.7636144, 0.7729109, 0.7772553, 0.7707994, 
    0.7664441, 0.7665882, 0.7857336, 0.8097838, 0.8362852, 0.8656369, 
    0.8968387, 0.9275403, 0.9575413, 0.9900432, 1.022244, 1.051045, 1.080546, 
    1.112698, 1.146499, 1.1778, 1.210151, 1.244403, 1.275204, 1.299805, 
    1.325455, 1.356805, 1.392255, 1.429055, 1.471455, 1.525605, 1.595804, 
    1.678055, 1.777457, 1.896309, 2.014011, 2.099561, 2.163411, 2.209612, 
    2.246364, 2.276317, 2.29402, 0.2296571, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.125351, 
    1.226959, 1.130758, 1.061158, 1.004458, 0.9600092, 0.91926, 0.8743096, 
    0.8361572, 0.8271053, 0.8482558, 0.8823583, 0.921512, 0.9545671, 
    0.9827735, 1.010981, 1.042189, 1.077296, 1.121052, 1.185106, 1.274709, 
    1.373263, 1.457815, 1.531166, 1.608966, 1.696416, 1.800566, 1.916966, 
    2.032916, 2.130064, 2.204811, 2.274306, 2.3535, 2.440644, 2.525538, 
    2.598882, 2.672226, 2.71517, 2.737516, 2.774913, 2.843461, 2.041557, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9362799, 
    1.891457, 1.934254, 1.980153, 2.006301, 2.029651, 2.066352, 2.092053, 
    2.096307, 2.081313, 2.046469, 1.988025, 1.923078, 1.865129, 1.80798, 
    1.749431, 1.697831, 1.654281, 1.615132, 1.584432, 1.561832, 1.544132, 
    1.530432, 1.522532, 1.520082, 1.520081, 1.520081, 1.520081, 1.520082, 
    1.520081, 1.520081, 1.520081, 1.520082, 1.520081, 1.520081, 1.519181, 
    1.514331, 1.505281, 1.49123, 1.471829, 1.449328, 1.422277, 1.387525, 
    1.344622, 1.300819, 1.256316, 1.206512, 1.155708, 1.108302, 1.060197, 
    1.008194, 0.9599412, 0.9217888, 0.8860873, 0.854036, 0.832285, 0.8282858, 
    0.8347884, 0.8521378, 0.8786355, 0.9055327, 0.9390814, 0.9838801, 
    1.033878, 1.081527, 1.132326, 1.193224, 1.262722, 1.325269, 1.386767, 
    1.457662, 1.529157, 1.186346, 0.823598, 0.850871, 0.8741407, 1.345374, 
    1.813097, 1.824747, 1.818748, 1.799248, 1.773799, 0.2616279, 1.090946, 
    1.632752, 1.575205, 1.532356, 1.509306, 1.114942, 1.24357, 1.44846, 
    1.436562, 1.433015, 1.441718, 1.467472, 1.509676, 1.56228, 1.625733, 
    1.703038, 1.787641, 1.868544, 1.949097, 2.030949, 2.10305, 2.159551, 
    2.205552, 2.243853, 2.269953, 2.279804, 2.273204, 2.248005, 2.205256,
  2.255547, 2.217048, 2.13685, 2.044453, 1.949056, 1.853309, 1.760261, 
    1.692362, 1.664312, 1.67826, 1.719356, 1.768252, 1.816047, 1.866992, 
    1.921587, 1.970132, 1.98453, 1.92123, 1.781932, 1.625584, 1.488286, 
    1.358689, 1.228892, 1.105195, 0.9972968, 0.9061976, 0.8730476, 0.8691971, 
    0.8695473, 0.8695473, 0.8617469, 0.8480964, 0.8345461, 0.8258975, 
    0.8291004, 0.8519039, 0.8760573, 0.9016113, 0.9157152, 0.920417, 
    0.9203156, 0.9223137, 0.9226099, 0.9136047, 0.8945504, 0.8779457, 
    0.8650911, 0.8731868, 0.8957856, 0.9257368, 0.9591385, 0.9942399, 
    1.028291, 1.061643, 1.097944, 1.132845, 1.163796, 1.195096, 1.229596, 
    1.264797, 1.297797, 1.332548, 1.369849, 1.402999, 1.428799, 1.454599, 
    1.485299, 1.520249, 1.556548, 1.598448, 1.651697, 1.721798, 1.804797, 
    1.906698, 2.0309, 2.153251, 2.237051, 2.302302, 2.352654, 2.395607, 
    2.43356, 1.566777, 0.1189085, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.06320134, 0.7986622, 
    1.15351, 1.084161, 1.029312, 0.9856614, 0.9455112, 0.9001111, 0.8586107, 
    0.8458096, 0.8695111, 0.9138668, 0.9676747, 1.017483, 1.06254, 1.108997, 
    1.159155, 1.212062, 1.269317, 1.340919, 1.431767, 1.530765, 1.615813, 
    1.688962, 1.765461, 1.85146, 1.950555, 2.057698, 2.163341, 2.248883, 
    2.309525, 2.361766, 2.420406, 2.485695, 2.548984, 2.604925, 2.668624, 
    2.702572, 2.714968, 2.744515, 2.666054, 1.024011, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3084872, 1.51817, 2.0238, 2.059547, 
    2.101546, 2.127296, 2.151297, 2.189348, 2.217598, 2.2278, 2.222952, 
    2.200655, 2.155911, 2.099565, 2.046368, 1.99302, 1.938673, 1.890074, 
    1.849176, 1.812528, 1.783229, 1.76183, 1.74498, 1.731931, 1.724381, 
    1.721581, 1.721581, 1.721581, 1.721581, 1.721581, 1.721581, 1.721581, 
    1.721581, 1.721581, 1.721581, 1.721581, 1.720681, 1.715331, 1.70508, 
    1.68923, 1.667579, 1.641827, 1.611526, 1.571524, 1.522622, 1.472569, 
    1.420416, 1.359461, 1.295906, 1.235301, 1.176096, 1.114792, 1.058338, 
    1.012785, 0.9717821, 0.9355301, 0.9153821, 0.9150342, 0.9265858, 
    0.9430357, 0.9643838, 0.9850315, 1.015831, 1.055528, 1.101626, 1.146525, 
    1.194574, 1.251073, 1.108112, 1.027754, 1.426215, 1.487462, 1.547858, 
    1.599254, 1.648552, 1.6999, 1.744348, 1.782247, 1.805797, 1.818748, 
    1.813898, 1.796499, 1.154224, 0.1739979, 1.100113, 1.645758, 1.594411, 
    0.8489192, 0.7577166, 0.757254, 1.273336, 1.480565, 1.472917, 1.475269, 
    1.490571, 1.525025, 1.576628, 1.637281, 1.708784, 1.794386, 1.885638, 
    1.97229, 2.057541, 2.142842, 2.216992, 2.275042, 2.322242, 2.360892, 
    2.387442, 2.397792, 2.392393, 2.369493, 2.329495,
  2.372038, 2.337039, 2.263942, 2.180046, 2.093299, 2.006203, 1.921407, 
    1.857008, 1.827808, 1.835705, 1.865701, 1.900946, 1.93529, 1.972085, 
    2.011079, 2.045523, 2.053521, 1.990471, 1.856173, 1.707876, 1.578029, 
    1.456233, 1.334936, 1.219989, 1.117791, 1.029943, 0.9964925, 0.9913422, 
    0.9920421, 0.9920421, 0.9832918, 0.9689418, 0.9550418, 0.9495428, 
    0.9601953, 0.9921485, 1.025302, 1.060205, 1.084008, 1.09381, 1.090809, 
    1.088157, 1.078504, 1.0574, 1.027797, 1.001694, 0.9801425, 0.9811416, 
    1.002542, 1.036193, 1.074595, 1.114147, 1.151548, 1.188599, 1.22685, 
    1.261849, 1.292548, 1.323247, 1.356646, 1.391296, 1.424545, 1.460245, 
    1.500447, 1.538049, 1.566801, 1.592751, 1.622301, 1.65595, 1.690549, 
    1.730748, 1.782048, 1.847944, 1.926291, 2.025989, 2.15259, 2.27879, 
    2.362041, 2.430242, 2.487745, 2.539698, 2.584801, 0.7804654, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.1798756, 0.8750488, 1.115862, 1.061712, 1.017512, 
    0.9772619, 0.9324624, 0.8910127, 0.8780636, 0.9087671, 0.9699237, 
    1.045181, 1.116289, 1.180295, 1.244301, 1.312607, 1.382212, 1.449314, 
    1.521663, 1.60476, 1.695106, 1.774053, 1.842851, 1.915199, 1.993094, 
    2.077538, 2.165831, 2.251475, 2.318218, 2.359262, 2.389454, 2.421395, 
    2.459236, 2.497229, 2.536275, 2.592721, 2.620819, 2.623465, 2.643261, 
    2.422613, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6342123, 2.123041, 2.147441, 2.17864, 2.216138, 2.243289, 2.272541, 
    2.310941, 2.339891, 2.352291, 2.352093, 2.337495, 2.304748, 2.259552, 
    2.214005, 2.166057, 2.117509, 2.07406, 2.037612, 2.004963, 1.978814, 
    1.959565, 1.944515, 1.932816, 1.925666, 1.923567, 1.923567, 1.923567, 
    1.923567, 1.923567, 1.923567, 1.923567, 1.923567, 1.923567, 1.923567, 
    1.923517, 1.922166, 1.916566, 1.905366, 1.888216, 1.865116, 1.837566, 
    1.804765, 1.761465, 1.708564, 1.653813, 1.594161, 1.521407, 1.445053, 
    1.372549, 1.301445, 1.228791, 1.161287, 1.106033, 1.05638, 1.015979, 
    0.9979782, 0.9995276, 1.014028, 1.029528, 0.8834638, 0.7898369, 1.088823, 
    1.12117, 1.166471, 1.210521, 1.25562, 1.307269, 1.156908, 1.070751, 
    1.462712, 1.51676, 1.567307, 1.609503, 1.652401, 1.698549, 1.739448, 
    1.775248, 1.799148, 1.813248, 1.810149, 1.348441, 0.2680146, 0.172701, 
    1.71681, 1.675013, 1.055318, 0.1600003, 0.8006029, 1.173534, 1.541568, 
    1.527719, 1.52427, 1.532022, 1.553424, 1.595477, 1.654429, 1.722031, 
    1.799432, 1.890334, 1.985885, 2.075285, 2.161885, 2.247735, 2.321334, 
    2.378784, 2.425033, 2.462432, 2.488282, 2.498532, 2.494432, 2.474133, 
    2.438685,
  2.472528, 2.44208, 2.377982, 2.304085, 2.228039, 2.151642, 2.077045, 
    2.017947, 1.987547, 1.986894, 2.002139, 2.021033, 2.039278, 2.059273, 
    2.080117, 2.098462, 2.098259, 2.03681, 1.912314, 1.776068, 1.657022, 
    1.546026, 1.43588, 1.331234, 1.236536, 1.153038, 1.118587, 1.112187, 
    1.112536, 1.112186, 1.102786, 1.087936, 1.074286, 1.071837, 1.089739, 
    1.130392, 1.172294, 1.215247, 1.246799, 1.260799, 1.256549, 1.250198, 
    1.232447, 1.201644, 1.163792, 1.13189, 1.10719, 1.10664, 1.130291, 
    1.168993, 1.213495, 1.258347, 1.300048, 1.339999, 1.378649, 1.411398, 
    1.440048, 1.467997, 1.497696, 1.529344, 1.560793, 1.595743, 1.640945, 
    1.685196, 1.718798, 1.745748, 1.772798, 1.803346, 1.835295, 1.872144, 
    1.918942, 1.973888, 2.041784, 2.133481, 2.25788, 2.385779, 2.46978, 
    2.541881, 2.608534, 2.672338, 2.02086, 0.4011539, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.5987591, 1.159716, 1.100914, 1.055013, 1.015263, 0.9720133, 
    0.9322639, 0.9246665, 0.9675208, 1.048527, 1.147085, 1.240242, 1.323047, 
    1.403402, 1.487507, 1.56971, 1.639059, 1.704206, 1.773851, 1.851547, 
    1.921293, 1.983341, 2.045987, 2.109432, 2.175276, 2.245321, 2.312016, 
    2.36081, 2.385005, 2.3952, 2.401993, 2.415486, 2.435981, 2.465229, 
    2.510425, 2.532573, 2.52497, 2.532767, 2.315267, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6720123, 2.248791, 2.27189, 
    2.299789, 2.330136, 2.356285, 2.389435, 2.426034, 2.452933, 2.465033, 
    2.467333, 2.457184, 2.432736, 2.39954, 2.362492, 2.320494, 2.277496, 
    2.239548, 2.207199, 2.1784, 2.155401, 2.138302, 2.124702, 2.114253, 
    2.107953, 2.106553, 2.106553, 2.106553, 2.106553, 2.106553, 2.106553, 
    2.106553, 2.106553, 2.106553, 2.106553, 2.106503, 2.105003, 2.099303, 
    2.088353, 2.071203, 2.048104, 2.020554, 1.987404, 1.943904, 1.890254, 
    1.834055, 1.769454, 1.688802, 1.6033, 1.521297, 1.438244, 1.351839, 
    1.271135, 1.20253, 1.137774, 0.5863113, 0.5190815, 0.5194313, 0.5271266, 
    0.534472, 0.5525236, 0.8576862, 1.151168, 1.181019, 1.228269, 1.272519, 
    1.315018, 1.361917, 1.408764, 1.453262, 1.498112, 1.546059, 1.587857, 
    1.623506, 1.660554, 1.701202, 1.738401, 1.773001, 1.800953, 1.729951, 
    0.9038954, 0.4507234, 0, 0.08699662, 0.8653191, 0.8464806, 0.2515456, 
    0.8423179, 1.634821, 1.617771, 1.601771, 1.590272, 1.590473, 1.603274, 
    1.630075, 1.678327, 1.742278, 1.814529, 1.89553, 1.989681, 2.08638, 
    2.17528, 2.260329, 2.343728, 2.414577, 2.469276, 2.513125, 2.548374, 
    2.571973, 2.581523, 2.578823, 2.561274, 2.530675,
  2.55502, 2.529121, 2.474073, 2.410776, 2.345779, 2.280082, 2.216235, 
    2.163687, 2.131286, 2.118833, 2.117528, 2.118173, 2.118768, 2.120413, 
    2.122258, 2.124454, 2.114751, 2.057452, 1.948807, 1.829162, 1.724517, 
    1.627571, 1.532175, 1.439929, 1.354532, 1.276133, 1.240233, 1.232232, 
    1.231282, 1.230332, 1.220181, 1.203931, 1.190781, 1.191632, 1.216283, 
    1.264686, 1.313787, 1.363589, 1.40099, 1.41679, 1.41204, 1.40309, 
    1.379438, 1.342287, 1.299786, 1.265686, 1.240336, 1.241387, 1.269288, 
    1.31399, 1.364992, 1.416194, 1.462795, 1.504845, 1.543495, 1.574445, 
    1.601045, 1.625543, 1.650642, 1.67714, 1.704289, 1.737739, 1.787439, 
    1.837391, 1.875292, 1.904093, 1.928242, 1.954441, 1.982539, 2.014138, 
    2.051985, 2.092881, 2.148027, 2.228024, 2.345771, 2.472621, 2.557021, 
    2.633372, 2.709525, 2.352395, 0.6918792, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6325102, 1.220569, 1.151715, 1.100563, 1.059763, 1.017563, 0.9808137, 
    0.9836172, 1.042022, 1.142427, 1.264933, 1.380689, 1.482294, 1.577948, 
    1.675251, 1.764902, 1.82955, 1.882297, 1.934642, 1.992985, 2.04778, 
    2.097325, 2.145921, 2.193567, 2.242263, 2.295859, 2.345054, 2.378101, 
    2.391249, 2.388297, 2.377894, 2.37324, 2.381988, 2.402985, 2.436132, 
    2.447978, 2.430725, 2.426422, 1.249008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7104098, 2.376783, 2.398483, 2.422982, 
    2.446931, 2.472031, 2.506232, 2.539531, 2.56268, 2.572529, 2.575029, 
    2.567379, 2.548831, 2.523782, 2.493133, 2.456884, 2.418835, 2.386037, 
    2.357788, 2.332789, 2.31264, 2.29779, 2.285741, 2.276741, 2.271441, 
    2.270041, 2.270041, 2.270041, 2.270041, 2.270041, 2.270041, 2.270041, 
    2.270041, 2.270041, 2.270041, 2.269991, 2.268491, 2.263041, 2.252691, 
    2.236192, 2.213742, 2.186792, 2.154592, 2.111892, 2.058893, 2.002042, 
    1.934341, 1.850091, 1.75879, 1.670038, 1.576736, 1.477883, 1.384831, 
    1.301277, 0.7848904, 0.05786898, 0.1796462, 0.2994103, 0, 0, 0.3576059, 
    1.196019, 1.212267, 1.241566, 1.289266, 1.332515, 1.372265, 1.415064, 
    1.453812, 1.49251, 1.533659, 1.575057, 1.610456, 1.644256, 1.679806, 
    1.717457, 1.485764, 1.343519, 1.827411, 1.673963, 0, 0, 0, 0, 0, 0, 0, 
    0.8492891, 1.711723, 1.693272, 1.677973, 1.668773, 1.671874, 1.688525, 
    1.719175, 1.771776, 1.839377, 1.913527, 1.995727, 2.090027, 2.184626, 
    2.270025, 2.350873, 2.429271, 2.49552, 2.546019, 2.586018, 2.617866, 
    2.638516, 2.647015, 2.645365, 2.630816, 2.604517,
  2.619513, 2.597814, 2.552116, 2.499468, 2.445521, 2.390873, 2.337476, 
    2.291577, 2.256777, 2.231074, 2.21237, 2.193665, 2.176261, 2.159907, 
    2.143353, 2.129299, 2.109247, 2.058398, 1.969403, 1.870508, 1.783263, 
    1.703367, 1.624571, 1.547074, 1.472777, 1.401979, 1.364779, 1.353628, 
    1.350778, 1.348977, 1.337677, 1.320427, 1.308027, 1.312078, 1.342779, 
    1.397831, 1.453032, 1.508233, 1.549384, 1.566784, 1.561534, 1.549984, 
    1.521032, 1.479381, 1.434281, 1.39968, 1.374531, 1.378131, 1.409531, 
    1.458782, 1.516034, 1.574185, 1.626286, 1.670687, 1.709487, 1.739837, 
    1.764287, 1.785586, 1.805585, 1.825984, 1.847532, 1.878882, 1.930582, 
    1.984933, 2.026783, 2.057434, 2.079634, 2.101883, 2.125532, 2.15058, 
    2.176677, 2.201473, 2.241019, 2.307166, 2.415214, 2.538363, 2.621262, 
    2.699962, 2.781862, 1.990459, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6702586, 1.290116, 1.209914, 1.150511, 1.106511, 1.06391, 1.031011, 
    1.046564, 1.119767, 1.237771, 1.382826, 1.520331, 1.639284, 1.748437, 
    1.85679, 1.94954, 2.006288, 2.044484, 2.074879, 2.108223, 2.143268, 
    2.176565, 2.211362, 2.245259, 2.280256, 2.319453, 2.3539, 2.377099, 
    2.384498, 2.375097, 2.356145, 2.340043, 2.338491, 2.350239, 2.371586, 
    2.367682, 2.34198, 2.326078, 0.2323977, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7453576, 2.494276, 2.516626, 2.538976, 
    2.560476, 2.587026, 2.624777, 2.658228, 2.677627, 2.683776, 2.684325, 
    2.677525, 2.662226, 2.640526, 2.612877, 2.578876, 2.543077, 2.513777, 
    2.489378, 2.468179, 2.45073, 2.43803, 2.42778, 2.420181, 2.415431, 
    2.414031, 2.414031, 2.414031, 2.414031, 2.414031, 2.414031, 2.414031, 
    2.414031, 2.414031, 2.414031, 2.413981, 2.412631, 2.407531, 2.397881, 
    2.381731, 2.359881, 2.333782, 2.302432, 2.260832, 2.208682, 2.151282, 
    2.081632, 1.996432, 1.902682, 1.810532, 1.70998, 1.602728, 1.274523, 
    0.6754401, 0.6685259, 0.6600025, 0.8305161, 0.9484104, 0.6499979, 
    0.6553504, 0.8432675, 1.271769, 1.286069, 1.313519, 1.14527, 1.042354, 
    1.433165, 1.469964, 1.501012, 1.53351, 1.569509, 1.606108, 1.638458, 
    1.672008, 1.708007, 1.747108, 1.519232, 1.382215, 1.873511, 0.9444543, 0, 
    0, 0, 0, 0, 0, 0.6730085, 1.032143, 1.803273, 1.784022, 1.769673, 
    1.761823, 1.767123, 1.786524, 1.819574, 1.874275, 1.943375, 2.017274, 
    2.097823, 2.188522, 2.278771, 2.358269, 2.432518, 2.503366, 2.563014, 
    2.608012, 2.643211, 2.67046, 2.688059, 2.695259, 2.694059, 2.68241, 
    2.660711,
  2.665507, 2.648358, 2.61216, 2.570162, 2.527264, 2.483666, 2.440318, 
    2.401319, 2.363769, 2.324816, 2.288813, 2.25196, 2.217757, 2.184603, 
    2.1509, 2.121598, 2.092246, 2.049948, 1.983003, 1.907257, 1.840261, 
    1.779215, 1.718869, 1.656872, 1.595274, 1.534376, 1.496276, 1.481375, 
    1.475775, 1.471924, 1.458724, 1.440573, 1.429524, 1.437024, 1.473275, 
    1.534176, 1.594527, 1.653828, 1.697829, 1.716929, 1.711029, 1.696378, 
    1.662477, 1.615476, 1.567525, 1.531475, 1.506525, 1.510775, 1.543275, 
    1.595025, 1.657076, 1.720877, 1.777277, 1.823528, 1.860977, 1.889226, 
    1.911276, 1.929475, 1.944024, 1.957672, 1.973521, 2.003371, 2.058122, 
    2.117573, 2.165525, 2.199126, 2.220976, 2.240326, 2.259525, 2.277673, 
    2.29087, 2.298117, 2.320264, 2.370411, 2.465608, 2.582106, 2.662256, 
    2.739605, 2.822405, 2.019854, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7539377, 
    0.7922023, 1.086152, 1.354561, 1.26491, 1.196808, 1.149007, 1.105757, 
    1.076708, 1.10441, 1.189512, 1.322915, 1.487818, 1.644722, 1.778024, 
    1.898376, 2.014927, 2.108727, 2.156776, 2.179623, 2.184918, 2.192963, 
    2.20876, 2.227707, 2.251005, 2.275654, 2.301503, 2.330151, 2.3552, 
    2.373049, 2.376499, 2.363148, 2.338097, 2.313996, 2.301244, 2.301091, 
    2.309088, 2.288735, 2.254233, 2.22603, 0.222048, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3808545, 1.941018, 2.62582, 
    2.64797, 2.66897, 2.699021, 2.742372, 2.779823, 2.797773, 2.799022, 
    2.795721, 2.787121, 2.77202, 2.75127, 2.72352, 2.687469, 2.650569, 
    2.622769, 2.60197, 2.58417, 2.569671, 2.559021, 2.550472, 2.544122, 
    2.540072, 2.539022, 2.539022, 2.539022, 2.539022, 2.539022, 2.539022, 
    2.539022, 2.539022, 2.539022, 2.539022, 2.538972, 2.537772, 2.533022, 
    2.523722, 2.508172, 2.486522, 2.460772, 2.429772, 2.388873, 2.337672, 
    2.280272, 2.211323, 2.127373, 2.034024, 1.940273, 1.833922, 0.9254177, 
    0.5534886, 0, 0.9775632, 1.370369, 1.35382, 1.349019, 1.345268, 1.353466, 
    1.358266, 1.353266, 1.367165, 1.393114, 0.9964595, 0.7390059, 1.496211, 
    0.904673, 1.551009, 1.577258, 1.608057, 1.642107, 1.673107, 1.706757, 
    1.743557, 1.785658, 1.830459, 1.395576, 0.9487877, 0.09546354, 0, 0, 0, 
    0, 0, 0.516197, 1.691532, 1.94007, 1.90542, 1.88627, 1.87272, 1.865821, 
    1.872071, 1.893021, 1.928671, 1.984222, 2.052121, 2.12302, 2.199169, 
    2.283468, 2.366316, 2.437764, 2.503613, 2.565361, 2.616209, 2.654257, 
    2.683906, 2.706055, 2.720105, 2.726004, 2.724904, 2.715555, 2.698555,
  2.695503, 2.682904, 2.655756, 2.624207, 2.591758, 2.55861, 2.525512, 
    2.492712, 2.452762, 2.401961, 2.350409, 2.298206, 2.249004, 2.201202, 
    2.1529, 2.110348, 2.073747, 2.040999, 1.997853, 1.945456, 1.900509, 
    1.860113, 1.820116, 1.774969, 1.727271, 1.677123, 1.639273, 1.621773, 
    1.613272, 1.606172, 1.589371, 1.569571, 1.559271, 1.569621, 1.610772, 
    1.676722, 1.741023, 1.803223, 1.849723, 1.869623, 1.862273, 1.844423, 
    1.804922, 1.751921, 1.70052, 1.66242, 1.635919, 1.637969, 1.669769, 
    1.722219, 1.786769, 1.85557, 1.916771, 1.965721, 2.002321, 2.027621, 
    2.047021, 2.06082, 2.069419, 2.075568, 2.084267, 2.110466, 2.167316, 
    2.232866, 2.287767, 2.326218, 2.350269, 2.368569, 2.384518, 2.396267, 
    2.396016, 2.384763, 2.38876, 2.420057, 2.500004, 2.608653, 2.686753, 
    2.761353, 2.842502, 2.033851, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6277415, 
    1.617434, 1.609208, 1.511009, 1.412109, 1.314908, 1.238656, 1.185755, 
    1.141605, 1.116606, 1.153957, 1.248758, 1.39361, 1.574612, 1.746013, 
    1.891015, 2.019566, 2.142067, 2.235717, 2.276016, 2.283763, 2.26686, 
    2.252307, 2.251005, 2.257753, 2.272252, 2.291451, 2.312501, 2.33495, 
    2.3552, 2.369299, 2.370249, 2.354749, 2.325499, 2.294748, 2.271246, 
    2.257544, 2.249892, 2.218091, 2.17574, 1.405165, 0.1083169, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.357258, 2.729916, 
    2.753516, 2.776067, 2.809517, 2.856967, 2.898217, 2.917368, 2.914017, 
    2.905416, 2.892715, 2.875065, 2.852015, 2.820564, 2.780513, 2.740762, 
    2.713262, 2.695913, 2.681163, 2.669264, 2.660764, 2.654014, 2.648665, 
    2.645715, 2.645015, 2.645365, 2.645515, 2.645515, 2.645515, 2.645865, 
    2.646015, 2.645865, 2.645515, 2.645515, 2.645415, 2.643915, 2.639765, 
    2.630715, 2.615115, 2.593015, 2.567015, 2.535764, 2.494964, 2.444665, 
    2.387765, 2.321065, 2.241216, 2.149717, 2.053766, 1.255156, 0.09312158, 
    0, 0, 1.04441, 1.470215, 1.457265, 1.450265, 1.438014, 0.7722595, 
    0.6993365, 0.6967873, 1.223594, 1.467761, 1.045107, 0.7682542, 0.9973388, 
    0.2359773, 1.598457, 1.620007, 1.061077, 1.59508, 1.709906, 1.29962, 
    1.518475, 1.737379, 0.927067, 0.4703564, 0, 0, 0, 0, 0, 0, 0.3284502, 
    1.602674, 2.085315, 2.043015, 2.010566, 1.992016, 1.979416, 1.972966, 
    1.981467, 2.005518, 2.043218, 2.097617, 2.161767, 2.226765, 2.296314, 
    2.371913, 2.444911, 2.50676, 2.563008, 2.614407, 2.655755, 2.686254, 
    2.709403, 2.726152, 2.736652, 2.741251, 2.740251, 2.733152, 2.720252,
  2.715002, 2.706252, 2.687353, 2.665454, 2.642505, 2.618856, 2.595207, 
    2.568258, 2.527758, 2.468007, 2.403506, 2.338554, 2.277003, 2.217552, 
    2.157901, 2.1052, 2.06325, 2.03915, 2.017503, 1.989005, 1.966258, 
    1.94771, 1.929363, 1.902365, 1.869267, 1.830918, 1.795219, 1.776318, 
    1.765768, 1.755218, 1.734017, 1.711917, 1.701517, 1.713517, 1.758218, 
    1.827468, 1.894268, 1.957918, 2.005618, 2.025018, 2.015018, 1.993117, 
    1.947416, 1.887915, 1.831515, 1.789814, 1.759314, 1.756713, 1.785763, 
    1.836862, 1.903663, 1.980314, 2.052016, 2.110417, 2.152418, 2.177818, 
    2.195268, 2.204668, 2.206717, 2.203066, 2.200264, 2.215662, 2.267611, 
    2.334861, 2.395762, 2.439862, 2.468063, 2.487413, 2.502013, 2.507862, 
    2.494111, 2.463609, 2.448006, 2.458304, 2.522402, 2.622751, 2.698, 
    2.7694, 2.8476, 2.03665, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9202104, 0.9967278, 
    0.9619699, 1.549017, 1.745504, 1.656655, 1.564506, 1.465706, 1.363706, 
    1.279705, 1.220004, 1.173253, 1.151854, 1.196455, 1.297255, 1.449156, 
    1.640456, 1.821407, 1.974758, 2.109559, 2.237109, 2.329509, 2.363758, 
    2.359507, 2.325706, 2.293354, 2.278502, 2.274501, 2.28155, 2.29735, 
    2.316, 2.33535, 2.3537, 2.36665, 2.36725, 2.35175, 2.32175, 2.2866, 
    2.254499, 2.228698, 2.206146, 2.167095, 1.600376, 0.3180773, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.404005, 2.82656, 
    2.853661, 2.880611, 2.916512, 2.965362, 3.008162, 3.027262, 3.020511, 
    3.006761, 2.98836, 2.96621, 2.937759, 2.900558, 2.855558, 2.812457, 
    2.785257, 2.771007, 2.759158, 2.749858, 2.743508, 2.738559, 2.734209, 
    2.732359, 2.732009, 2.732709, 2.733459, 2.733659, 2.734009, 2.734709, 
    2.735009, 2.734859, 2.734259, 2.734009, 2.733459, 2.731909, 2.727759, 
    2.718359, 2.702059, 2.678859, 2.652508, 2.620559, 2.580009, 2.531259, 
    2.475509, 2.411359, 2.33766, 2.250261, 2.15176, 0.6322531, 0, 0, 0, 
    0.5381769, 0.8400947, 1.560012, 1.15167, 0.7422802, 0.07403307, 0, 0, 
    0.520331, 1.45949, 1.088855, 0.3909106, 0.2345463, 0.8232512, 1.643355, 
    1.662005, 1.101189, 1.633824, 1.750155, 1.344107, 1.567567, 0.9272807, 0, 
    0.5181184, 0.3108711, 0, 0, 0.5766318, 1.160965, 1.164816, 1.481388, 
    2.221261, 2.184662, 2.148913, 2.120413, 2.101763, 2.089063, 2.084613, 
    2.097064, 2.123264, 2.159963, 2.209963, 2.267612, 2.325011, 2.38591, 
    2.451359, 2.513357, 2.565006, 2.611055, 2.652004, 2.684303, 2.707502, 
    2.724751, 2.736301, 2.7437, 2.747, 2.7461, 2.741251, 2.732301,
  2.729001, 2.723401, 2.710952, 2.696902, 2.682253, 2.666903, 2.651104, 
    2.630304, 2.590754, 2.525654, 2.452454, 2.377953, 2.308503, 2.241502, 
    2.174452, 2.115351, 2.069251, 2.049751, 2.044803, 2.038104, 2.036005, 
    2.037757, 2.039708, 2.03061, 2.01176, 1.985561, 1.956262, 1.936862, 
    1.924262, 1.910262, 1.884511, 1.858611, 1.847511, 1.860561, 1.907261, 
    1.978761, 2.046761, 2.111261, 2.159061, 2.177562, 2.164511, 2.137461, 
    2.08491, 2.01811, 1.955009, 1.908009, 1.871408, 1.863358, 1.887257, 
    1.936357, 2.008358, 2.099859, 2.190011, 2.266512, 2.320913, 2.350964, 
    2.367514, 2.373564, 2.367763, 2.348612, 2.32676, 2.322058, 2.360507, 
    2.423456, 2.487506, 2.536506, 2.569507, 2.592207, 2.607007, 2.608157, 
    2.583006, 2.533155, 2.497253, 2.488652, 2.539101, 2.63025, 2.7015, 
    2.7717, 2.84945, 2.037, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5268303, 1.04701, 1.945966, 
    1.997101, 1.931251, 1.855602, 1.780553, 1.700253, 1.615004, 1.517854, 
    1.413404, 1.322903, 1.256253, 1.206053, 1.186553, 1.235703, 1.339253, 
    1.494603, 1.691504, 1.878904, 2.038004, 2.178205, 2.309655, 2.399655, 
    2.428004, 2.415404, 2.369103, 2.323152, 2.297501, 2.283751, 2.2852, 
    2.29855, 2.3155, 2.3335, 2.35185, 2.36675, 2.37025, 2.358701, 2.332401, 
    2.296352, 2.259751, 2.225951, 2.1931, 1.830352, 0.5294193, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7126414, 
    2.466688, 2.939606, 2.975257, 3.015007, 3.064557, 3.106957, 3.122556, 
    3.111256, 3.093306, 3.070606, 3.041105, 3.004504, 2.960554, 2.909753, 
    2.863953, 2.838253, 2.826904, 2.818154, 2.811804, 2.807254, 2.803754, 
    2.801104, 2.800154, 2.800755, 2.801705, 2.802954, 2.803955, 2.805255, 
    2.806205, 2.806505, 2.806505, 2.806005, 2.805155, 2.803555, 2.801754, 
    2.797004, 2.786654, 2.769054, 2.744554, 2.717004, 2.683854, 2.644504, 
    2.598154, 2.545005, 2.484855, 2.419256, 2.338656, 1.679421, 0.3227508, 0, 
    0, 0, 0.5793383, 0.9017128, 1.622552, 0.8090009, 0, 0, 0, 0, 0, 1.437354, 
    1.126653, 0, 0, 0.8271499, 1.684853, 1.703003, 1.727103, 1.759053, 
    1.794703, 1.839004, 1.213301, 0.09363573, 0.3127977, 1.575832, 1.402819, 
    1.126822, 1.155926, 1.750341, 2.345804, 2.354654, 2.335355, 2.305005, 
    2.276756, 2.249757, 2.227158, 2.211008, 2.200458, 2.200309, 2.213609, 
    2.237758, 2.271358, 2.315358, 2.365157, 2.414256, 2.465456, 2.520305, 
    2.571304, 2.613003, 2.649452, 2.681052, 2.705152, 2.722251, 2.734451, 
    2.74235, 2.7471, 2.749, 2.74845, 2.74535, 2.739851,
  2.739, 2.73585, 2.728501, 2.720551, 2.712501, 2.703751, 2.694101, 2.678852, 
    2.640752, 2.573251, 2.495901, 2.416552, 2.343501, 2.273251, 2.202951, 
    2.140301, 2.090751, 2.072001, 2.076001, 2.082402, 2.093502, 2.108102, 
    2.122652, 2.124852, 2.114753, 2.096253, 2.073253, 2.053903, 2.038753, 
    2.020802, 1.993103, 1.967703, 1.960003, 1.977854, 2.028704, 2.097853, 
    2.161753, 2.221453, 2.270253, 2.287803, 2.271502, 2.239452, 2.179902, 
    2.108052, 2.047253, 2.003953, 1.970253, 1.957653, 1.977003, 2.024703, 
    2.105904, 2.221305, 2.338256, 2.439807, 2.513358, 2.553208, 2.570508, 
    2.572408, 2.556908, 2.515107, 2.464256, 2.430904, 2.445353, 2.496953, 
    2.557752, 2.609102, 2.647402, 2.674453, 2.691753, 2.690503, 2.656553, 
    2.591302, 2.538502, 2.516501, 2.556651, 2.640151, 2.710001, 2.78125, 
    2.861201, 2.04505, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.1060581, 1.059531, 1.58129, 2.09255, 2.05245, 
    2.0043, 1.945751, 1.880551, 1.814601, 1.743052, 1.664002, 1.570252, 
    1.464702, 1.369252, 1.296002, 1.242001, 1.223152, 1.274651, 1.379752, 
    1.536651, 1.737002, 1.928452, 2.092002, 2.235952, 2.369702, 2.456002, 
    2.477502, 2.457701, 2.402101, 2.346101, 2.311, 2.2892, 2.28715, 2.2984, 
    2.31475, 2.3325, 2.3515, 2.3693, 2.378, 2.373401, 2.354551, 2.321501, 
    2.284251, 2.247701, 2.211701, 1.524601, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.031021, 2.858391, 3.057653, 
    3.103003, 3.152903, 3.192253, 3.201103, 3.182252, 3.158502, 3.132402, 
    3.096552, 3.050251, 2.998001, 2.941051, 2.893751, 2.870251, 2.862851, 
    2.858101, 2.854751, 2.852001, 2.849952, 2.849001, 2.848951, 2.850752, 
    2.852552, 2.854452, 2.856102, 2.858252, 2.860052, 2.860502, 2.860502, 
    2.859752, 2.858302, 2.856002, 2.853101, 2.847751, 2.836452, 2.816601, 
    2.789951, 2.760751, 2.727701, 2.690251, 2.643501, 2.592001, 2.537701, 
    2.482452, 2.411252, 1.176751, 0, 0, 0, 0.4290327, 1.41977, 1.64675, 
    1.391782, 0.407469, 0, 0, 0, 0, 0, 1.477051, 1.41137, 0.8468145, 
    0.853415, 0.9465092, 1.722151, 1.741251, 1.766652, 1.072346, 1.841552, 
    1.891252, 1.271454, 1.022178, 1.370657, 2.151253, 2.218953, 2.286202, 
    2.340302, 2.373502, 2.393752, 2.400102, 2.386852, 2.367752, 2.349352, 
    2.331653, 2.316503, 2.305753, 2.300603, 2.305504, 2.319804, 2.341754, 
    2.371054, 2.408803, 2.451053, 2.491753, 2.533852, 2.578302, 2.619051, 
    2.651751, 2.679901, 2.703201, 2.720801, 2.733, 2.741, 2.74635, 2.74915, 
    2.75, 2.7498, 2.74795, 2.7451,
  2.7455, 2.7441, 2.74095, 2.73725, 2.73375, 2.7299, 2.7251, 2.71365, 2.676, 
    2.6079, 2.52895, 2.4484, 2.37475, 2.3046, 2.23475, 2.17035, 2.11925, 
    2.1007, 2.10685, 2.11955, 2.13775, 2.15945, 2.18095, 2.18775, 2.18125, 
    2.1667, 2.14765, 2.1301, 2.113, 2.09135, 2.0622, 2.03765, 2.033, 2.05495, 
    2.10595, 2.16595, 2.22, 2.26915, 2.3129, 2.32915, 2.3125, 2.2794, 2.2196, 
    2.1524, 2.1035, 2.0728, 2.05195, 2.04265, 2.0615, 2.10835, 2.2032, 
    2.3512, 2.50125, 2.6317, 2.7296, 2.78225, 2.8005, 2.79705, 2.7702, 
    2.6992, 2.6095, 2.5401, 2.5225, 2.5528, 2.6045, 2.6555, 2.6979, 2.7295, 
    2.75075, 2.74995, 2.71135, 2.6379, 2.5755, 2.54495, 2.57675, 2.6548, 
    2.72525, 2.79675, 2.877, 2.50625, 0.75175, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.53475, 1.06705, 1.169, 2.1179, 
    2.108, 2.09075, 2.05395, 2.00985, 1.9585, 1.90365, 1.84665, 1.7837, 
    1.7105, 1.6205, 1.515, 1.41605, 1.33725, 1.2791, 1.26075, 1.3143, 1.42, 
    1.57715, 1.7786, 1.9727, 2.1385, 2.2833, 2.4154, 2.4957, 2.51075, 
    2.48555, 2.42355, 2.36, 2.317, 2.28975, 2.28575, 2.29705, 2.3145, 
    2.33335, 2.35445, 2.37485, 2.38875, 2.3918, 2.38185, 2.3552, 2.32175, 
    2.2883, 2.25515, 1.5561, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.5278, 3.1395, 3.1905, 3.23765, 3.27005, 
    3.26855, 3.24025, 3.2088, 3.17755, 3.1367, 3.07975, 3.0186, 2.9554, 
    2.90735, 2.88625, 2.8823, 2.8815, 2.8804, 2.8785, 2.87765, 2.878, 2.8791, 
    2.88175, 2.88475, 2.88795, 2.89075, 2.8935, 2.8959, 2.89695, 2.89685, 
    2.8955, 2.89345, 2.89045, 2.88645, 2.88, 2.8669, 2.84455, 2.8147, 
    2.78425, 2.751, 2.7125, 2.6618, 2.60925, 2.5609, 2.51625, 2.09135, 
    0.59575, 0, 0, 0.26925, 1.30725, 1.6834, 1.65565, 1.15325, 0, 0, 0, 0, 0, 
    0, 1.50555, 1.6917, 1.70675, 1.1121, 1.6487, 1.7531, 1.775, 1.80425, 
    1.11405, 1.8892, 1.94525, 2.00795, 2.07765, 2.15035, 2.22175, 2.28755, 
    2.3495, 2.3952, 2.42175, 2.43745, 2.4399, 2.4326, 2.4225, 2.4124, 2.4026, 
    2.39435, 2.389, 2.38925, 2.3979, 2.4135, 2.43325, 2.45825, 2.48975, 
    2.52475, 2.55775, 2.59145, 2.62635, 2.65795, 2.6825, 2.7032, 2.7198, 
    2.73225, 2.74025, 2.74545, 2.74845, 2.75, 2.7505, 2.75065, 2.74955, 
    2.74855,
  2.743, 2.7423, 2.74145, 2.7402, 2.739, 2.73815, 2.7365, 2.72665, 2.6895, 
    2.62225, 2.544, 2.46485, 2.3935, 2.327049, 2.261099, 2.198499, 2.148249, 
    2.130549, 2.138099, 2.155549, 2.180498, 2.209648, 2.238348, 2.250798, 
    2.248497, 2.238147, 2.224097, 2.210097, 2.191747, 2.166747, 2.132697, 
    2.103097, 2.095498, 2.114498, 2.157298, 2.206399, 2.250249, 2.288849, 
    2.32055, 2.33325, 2.31925, 2.28985, 2.237949, 2.183549, 2.147249, 
    2.128798, 2.120948, 2.123147, 2.145247, 2.190797, 2.305646, 2.490545, 
    2.675243, 2.836142, 2.958391, 3.023491, 3.042241, 3.034041, 2.996191, 
    2.888743, 2.755244, 2.644846, 2.591447, 2.595548, 2.635749, 2.684349, 
    2.729099, 2.765699, 2.791249, 2.792649, 2.752599, 2.674199, 2.606749, 
    2.571149, 2.596699, 2.669449, 2.74, 2.810549, 2.8893, 2.9647, 2.274441, 
    0.4618148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.07, 2.13475, 2.1259, 2.11625, 2.106, 2.08945, 2.0588, 2.021149, 
    1.978249, 1.932199, 1.882648, 1.826698, 1.758748, 1.671548, 1.566248, 
    1.463998, 1.380248, 1.317848, 1.300248, 1.355148, 1.458998, 1.610799, 
    1.805949, 1.9979, 2.162, 2.3044, 2.43115, 2.503051, 2.512751, 2.485701, 
    2.424001, 2.3599, 2.313751, 2.28405, 2.28035, 2.2938, 2.314, 2.3349, 
    2.35895, 2.38275, 2.4015, 2.412899, 2.412249, 2.393649, 2.369248, 
    2.346947, 2.322197, 1.952921, 0.5762061, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1584121, 2.085984, 3.275747, 
    3.317597, 3.339397, 3.325348, 3.287249, 3.247399, 3.210149, 3.164399, 
    3.099249, 3.03025, 2.96215, 2.91315, 2.89325, 2.89015, 2.8913, 2.8904, 
    2.8885, 2.88765, 2.88855, 2.89075, 2.89425, 2.89845, 2.903, 2.90755, 
    2.91125, 2.9139, 2.9154, 2.9152, 2.9135, 2.91075, 2.90645, 2.90115, 
    2.893, 2.87785, 2.853, 2.81995, 2.78725, 2.7507, 2.707101, 2.653001, 
    2.601251, 2.55825, 2.39081, 0.8705163, 0, 0, 0, 0.5352002, 1.748001, 
    1.68225, 1.6594, 1.15675, 0, 0, 0, 0, 0, 0, 0.8442513, 1.71005, 1.7245, 
    1.130253, 1.667343, 1.774149, 1.801499, 1.836549, 1.880599, 1.935298, 
    1.998248, 2.065748, 2.138548, 2.212348, 2.282748, 2.344748, 2.399899, 
    2.437249, 2.456999, 2.471499, 2.477249, 2.477398, 2.474498, 2.471248, 
    2.468098, 2.466197, 2.466247, 2.470847, 2.480747, 2.495047, 2.512247, 
    2.532947, 2.559047, 2.586598, 2.612748, 2.638898, 2.665349, 2.688649, 
    2.706249, 2.720349, 2.73175, 2.73935, 2.744, 2.7469, 2.74755, 2.7477, 
    2.747, 2.74665, 2.7455, 2.744351,
  2.725502, 2.724452, 2.723402, 2.720502, 2.714503, 2.709204, 2.703005, 
    2.689355, 2.652006, 2.586306, 2.511505, 2.436855, 2.374004, 2.319552, 
    2.266101, 2.214799, 2.170749, 2.156448, 2.165798, 2.187698, 2.219247, 
    2.256047, 2.293346, 2.313195, 2.315245, 2.309945, 2.301494, 2.291244, 
    2.272494, 2.243944, 2.203695, 2.167445, 2.155246, 2.169646, 2.203247, 
    2.241997, 2.275748, 2.303549, 2.3247, 2.3309, 2.3185, 2.2935, 2.251549, 
    2.209698, 2.185498, 2.177747, 2.179946, 2.191146, 2.215746, 2.258896, 
    2.396794, 2.619691, 2.839489, 3.029886, 3.173985, 3.252334, 3.274483, 
    3.264783, 3.218983, 3.071336, 2.89224, 2.740443, 2.648696, 2.625548, 
    2.651999, 2.69595, 2.7422, 2.7829, 2.81275, 2.817049, 2.775799, 2.697049, 
    2.629249, 2.592249, 2.613449, 2.679999, 2.748749, 2.8175, 2.8933, 2.9656, 
    3.0425, 0.9228001, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.3226008, 1.608668, 2.1364, 2.12645, 2.11595, 2.105, 2.09055, 
    2.068249, 2.040048, 2.006248, 1.967547, 1.924047, 1.872897, 1.809246, 
    1.724596, 1.618596, 1.512946, 1.424747, 1.359647, 1.343547, 1.397747, 
    1.495247, 1.634049, 1.8158, 1.99955, 2.159251, 2.297951, 2.417052, 
    2.480202, 2.486753, 2.462502, 2.408801, 2.350651, 2.306, 2.275701, 
    2.27295, 2.28935, 2.31325, 2.3368, 2.363, 2.3895, 2.412749, 2.431799, 
    2.441098, 2.431697, 2.420246, 2.411245, 2.396895, 2.372043, 1.176746, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.4944753, 2.509873, 3.388295, 3.397846, 3.371447, 3.324247, 3.276698, 
    3.233748, 3.183999, 3.114749, 3.041299, 2.970649, 2.919849, 2.898999, 
    2.894949, 2.89565, 2.89325, 2.89075, 2.8893, 2.89015, 2.89355, 2.898, 
    2.9035, 2.909549, 2.915849, 2.920499, 2.923399, 2.925399, 2.925699, 
    2.923749, 2.919699, 2.913899, 2.906699, 2.8965, 2.87895, 2.8514, 
    2.814251, 2.777001, 2.735551, 2.685652, 2.627452, 2.575003, 2.527104, 
    1.252953, 0, 0.5329188, 0.3197513, 0, 0.5269508, 1.726002, 1.672751, 
    1.654201, 1.398263, 0.8151258, 0.2437129, 0, 0, 0, 0, 0.1703001, 
    1.707501, 1.724251, 1.74135, 1.76165, 1.785999, 1.818999, 1.860049, 
    1.911248, 1.974447, 2.041747, 2.109397, 2.183697, 2.255748, 2.322748, 
    2.380998, 2.429899, 2.461149, 2.479748, 2.497998, 2.510247, 2.517047, 
    2.520497, 2.523246, 2.526596, 2.530895, 2.535495, 2.542545, 2.552195, 
    2.564945, 2.579495, 2.595796, 2.616446, 2.637447, 2.656997, 2.676548, 
    2.695348, 2.711299, 2.723249, 2.732049, 2.7388, 2.74245, 2.74375, 
    2.74365, 2.742001, 2.739601, 2.736251, 2.733601, 2.730501, 2.727702,
  2.693005, 2.690905, 2.686555, 2.675457, 2.659008, 2.642909, 2.62561, 
    2.603011, 2.562762, 2.498712, 2.429111, 2.36301, 2.315258, 2.279406, 
    2.245053, 2.211251, 2.17925, 2.171049, 2.183349, 2.209049, 2.246498, 
    2.290947, 2.337346, 2.365245, 2.372244, 2.373644, 2.371943, 2.366992, 
    2.350241, 2.319491, 2.273642, 2.230793, 2.213493, 2.222094, 2.246145, 
    2.273797, 2.296748, 2.314099, 2.32585, 2.326401, 2.315001, 2.29415, 
    2.262049, 2.231398, 2.217247, 2.217096, 2.225296, 2.240095, 2.264245, 
    2.304146, 2.452496, 2.708593, 2.96024, 3.175487, 3.338635, 3.429784, 
    3.457733, 3.449633, 3.400033, 3.226635, 3.005989, 2.816143, 2.689396, 
    2.640749, 2.652, 2.689851, 2.736401, 2.780951, 2.815, 2.8228, 2.78225, 
    2.707949, 2.643499, 2.607399, 2.624749, 2.68495, 2.75075, 2.81725, 
    2.889451, 2.960101, 3.03775, 2.023848, 1.440771, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6457499, 2.14825, 2.1384, 2.12795, 
    2.1168, 2.10575, 2.0933, 2.076399, 2.055849, 2.028998, 1.996197, 
    1.956147, 1.908797, 1.848997, 1.768196, 1.664295, 1.556845, 1.466496, 
    1.401695, 1.388595, 1.439645, 1.526247, 1.649249, 1.81605, 1.989402, 
    2.143003, 2.276653, 2.386654, 2.442105, 2.449505, 2.433104, 2.390902, 
    2.339552, 2.297501, 2.267351, 2.264751, 2.2849, 2.313, 2.33935, 2.36745, 
    2.395449, 2.421249, 2.445999, 2.465098, 2.467146, 2.467995, 2.466395, 
    2.460244, 2.449392, 1.220496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8524449, 1.711541, 3.280133, 
    3.417645, 3.364495, 3.313445, 3.265795, 3.211596, 3.139746, 3.064746, 
    2.992146, 2.939247, 2.915247, 2.906648, 2.902849, 2.898299, 2.894249, 
    2.8923, 2.8932, 2.8972, 2.902499, 2.909549, 2.917099, 2.925299, 2.930999, 
    2.934598, 2.937849, 2.938548, 2.935999, 2.930999, 2.923449, 2.914599, 
    2.901749, 2.8812, 2.8493, 2.806551, 2.764002, 2.716552, 2.660303, 
    2.598303, 2.540004, 2.476806, 0.2461506, 0, 0.5331219, 0.3198731, 0, 
    0.5160013, 1.696004, 1.657652, 1.641652, 1.631202, 1.621252, 1.041373, 
    0.712587, 0, 0, 0, 0.8283492, 1.690702, 1.712252, 1.735201, 1.7621, 
    1.792349, 1.830999, 1.878748, 1.937647, 2.006247, 2.073997, 2.139647, 
    2.212947, 2.281698, 2.343998, 2.398949, 2.443249, 2.474199, 2.496748, 
    2.518598, 2.536247, 2.548897, 2.557497, 2.565046, 2.573046, 2.581146, 
    2.588245, 2.596395, 2.605595, 2.616196, 2.627746, 2.640346, 2.655447, 
    2.670598, 2.684498, 2.697699, 2.709949, 2.7206, 2.727751, 2.732451, 
    2.735351, 2.735702, 2.733752, 2.730752, 2.726403, 2.720653, 2.714753, 
    2.708854, 2.703054, 2.698104,
  2.646008, 2.641809, 2.63026, 2.607762, 2.580764, 2.554465, 2.526567, 
    2.493568, 2.448769, 2.385769, 2.322568, 2.270216, 2.239763, 2.22226, 
    2.206907, 2.190005, 2.171752, 2.171351, 2.1868, 2.2148, 2.25625, 
    2.307149, 2.360399, 2.395397, 2.408997, 2.418045, 2.424444, 2.426842, 
    2.414242, 2.384141, 2.334642, 2.286942, 2.264243, 2.265694, 2.279596, 
    2.296098, 2.308749, 2.3172, 2.321601, 2.318901, 2.308751, 2.2923, 
    2.268649, 2.247998, 2.241247, 2.245697, 2.257596, 2.273446, 2.296246, 
    2.333047, 2.479597, 2.757595, 3.032242, 3.267339, 3.446287, 3.547436, 
    3.580235, 3.573835, 3.522935, 3.339936, 3.089739, 2.870693, 2.715997, 
    2.64735, 2.645501, 2.677252, 2.722753, 2.771002, 2.809002, 2.820401, 
    2.783, 2.714, 2.653249, 2.618049, 2.632149, 2.68755, 2.75025, 2.809452, 
    2.868255, 2.92541, 2.998262, 3.078115, 2.824668, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.108167, 1.403669, 2.15075, 2.14055, 
    2.1299, 2.11845, 2.10775, 2.0953, 2.080499, 2.064049, 2.041749, 2.012099, 
    1.973248, 1.927748, 1.870748, 1.794847, 1.696046, 1.591096, 1.503745, 
    1.443344, 1.435942, 1.483743, 1.558994, 1.667846, 1.819299, 1.9808, 
    2.125752, 2.250404, 2.349256, 2.396757, 2.407506, 2.400755, 2.369653, 
    2.325603, 2.287002, 2.257152, 2.255552, 2.280751, 2.31375, 2.34255, 
    2.372349, 2.401099, 2.427499, 2.455299, 2.481298, 2.492298, 2.497498, 
    1.621315, 1.369591, 2.118961, 0.6201892, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.743475, 3.472241, 
    3.41849, 3.36964, 3.320539, 3.26169, 3.186741, 3.110391, 3.035591, 
    2.979042, 2.948743, 2.930345, 2.915648, 2.904849, 2.898999, 2.896299, 
    2.897249, 2.901849, 2.908249, 2.916399, 2.924649, 2.934399, 2.941998, 
    2.947148, 2.951798, 2.953048, 2.950248, 2.944298, 2.935498, 2.925798, 
    2.910498, 2.886099, 2.84835, 2.799701, 2.751252, 2.697903, 2.635204, 
    2.570704, 1.892442, 1.226074, 0.2324034, 1.088968, 0.5238401, 0, 0, 
    0.5052015, 1.666504, 1.638153, 1.623153, 1.611603, 1.599254, 1.580954, 
    1.489281, 0.5437341, 0, 0, 0.8266517, 1.671253, 1.697003, 1.725552, 
    1.759051, 1.79505, 1.838999, 1.893099, 1.958048, 2.029647, 2.095748, 
    2.159048, 2.228498, 2.293499, 2.3515, 2.402851, 2.44615, 2.481249, 
    2.507249, 2.530099, 2.550699, 2.566798, 2.578998, 2.589448, 2.599448, 
    2.608448, 2.616498, 2.624548, 2.632948, 2.641098, 2.649749, 2.659099, 
    2.66945, 2.6794, 2.688501, 2.696552, 2.703953, 2.710203, 2.714004, 
    2.715704, 2.715804, 2.713105, 2.708755, 2.703356, 2.696356, 2.687556, 
    2.679006, 2.670107, 2.661558, 2.654008,
  2.584513, 2.576114, 2.554716, 2.521068, 2.48352, 2.447722, 2.409574, 
    2.366476, 2.316027, 2.253677, 2.199025, 2.162422, 2.149019, 2.149265, 
    2.152762, 2.152459, 2.147506, 2.155155, 2.173654, 2.202454, 2.245004, 
    2.298404, 2.355454, 2.395253, 2.415252, 2.432101, 2.447849, 2.458347, 
    2.450996, 2.424045, 2.373995, 2.322746, 2.294247, 2.287449, 2.290701, 
    2.297503, 2.302254, 2.304205, 2.304306, 2.300855, 2.293504, 2.282653, 
    2.267701, 2.25615, 2.254749, 2.262098, 2.275548, 2.291798, 2.313748, 
    2.348648, 2.492899, 2.779648, 3.070246, 3.321293, 3.513491, 3.62249, 
    3.658489, 3.652839, 3.600839, 3.41309, 3.147991, 2.908444, 2.731398, 
    2.645851, 2.633503, 2.660004, 2.705453, 2.756903, 2.798502, 2.813152, 
    2.78065, 2.718199, 2.662248, 2.629397, 2.638899, 2.685451, 2.739254, 
    2.782558, 2.816163, 2.84152, 2.888777, 2.939884, 2.666838, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.083319, 2.1624, 2.153499, 
    2.143549, 2.13245, 2.12095, 2.11025, 2.097799, 2.083949, 2.068799, 
    2.049499, 2.021099, 1.982199, 1.936549, 1.881499, 1.809998, 1.717646, 
    1.620694, 1.542742, 1.493489, 1.497186, 1.546335, 1.615236, 1.712838, 
    1.85039, 1.998942, 2.131745, 2.242149, 2.325452, 2.362304, 2.373255, 
    2.373354, 2.351453, 2.313352, 1.712717, 1.12608, 1.12578, 1.139935, 
    1.740719, 1.522464, 1.187853, 1.56587, 2.432999, 2.461499, 2.489799, 
    2.502199, 2.5055, 0.7518, 0.1253478, 0.8774348, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3535993, 3.522942, 3.480488, 3.446434, 3.402582, 3.337484, 3.257984, 
    3.180235, 3.103935, 3.042586, 3.002488, 2.969041, 2.935446, 2.911899, 
    2.904499, 2.900949, 2.901849, 2.907649, 2.915249, 2.923898, 2.932648, 
    2.943198, 2.952748, 2.960197, 2.966697, 2.968697, 2.965997, 2.958747, 
    2.949447, 2.938998, 2.921998, 2.893448, 2.849849, 2.795201, 2.740752, 
    2.681403, 2.612104, 2.544805, 1.255252, 0.814489, 1.230814, 2.149211, 
    1.034005, 0, 0.08411787, 1.085027, 1.642004, 1.618454, 1.602104, 
    1.588655, 1.573755, 1.553255, 1.539655, 1.308666, 0.3838534, 0, 
    0.08273157, 1.078922, 1.678254, 1.712903, 1.752552, 1.79425, 1.842749, 
    1.900349, 1.968949, 2.041599, 2.104499, 2.1646, 2.230651, 2.293601, 
    2.348251, 2.396602, 2.440602, 2.477202, 2.504502, 2.527952, 2.549252, 
    2.566602, 2.580252, 2.592152, 2.602901, 2.612102, 2.620252, 2.627352, 
    2.634402, 2.640502, 2.646253, 2.652354, 2.658554, 2.664705, 2.669506, 
    2.673956, 2.677907, 2.680607, 2.682258, 2.682158, 2.679858, 2.675009, 
    2.668759, 2.661109, 2.65181, 2.640311, 2.628761, 2.616862, 2.605562, 
    2.595562,
  2.507519, 2.493521, 2.461723, 2.417526, 2.370028, 2.32463, 2.276232, 
    2.224534, 2.169035, 2.107935, 2.063282, 2.041979, 2.045025, 2.062421, 
    2.083617, 2.098614, 2.105512, 2.119411, 2.13996, 2.168011, 2.208761, 
    2.260362, 2.316713, 2.359163, 2.384012, 2.40816, 2.432808, 2.451657, 
    2.450755, 2.428154, 2.380753, 2.328353, 2.295003, 2.279855, 2.272807, 
    2.270859, 2.26976, 2.267611, 2.265511, 2.263111, 2.25976, 2.256058, 
    2.251606, 2.249454, 2.253502, 2.263502, 2.278551, 2.295951, 2.318001, 
    2.352301, 2.494801, 2.780352, 3.077752, 3.33945, 3.541648, 3.655597, 
    3.693247, 3.687497, 3.634347, 3.445747, 3.177997, 2.927748, 2.735101, 
    2.636303, 2.615755, 2.638955, 2.685555, 2.740304, 2.785753, 2.803203, 
    2.775902, 2.721849, 2.672248, 2.641897, 2.643849, 2.674403, 2.711508, 
    2.734612, 2.741968, 2.730377, 2.735288, 2.739151, 2.452302, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1071009, 1.072358, 1.077756, 1.082103, 
    2.0593, 2.164349, 2.156499, 2.146899, 2.135949, 2.124299, 2.113249, 
    2.101149, 2.088399, 2.074399, 2.057248, 2.029248, 1.989198, 1.942699, 
    1.889248, 1.822847, 1.739844, 1.655641, 1.592737, 1.559933, 1.579979, 
    1.636576, 1.705726, 1.796576, 1.922929, 2.058732, 2.174486, 2.26714, 
    2.331744, 2.355298, 2.361999, 2.3631, 2.346599, 1.967007, 0.5722623, 0, 
    0, 0, 0.5835175, 0.3501105, 0, 0.3639168, 1.218559, 1.232815, 2.371306, 
    2.50495, 1.879787, 0.3760724, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1778315, 
    2.306368, 3.542485, 3.539127, 3.508373, 3.434675, 3.348727, 3.268028, 
    3.190729, 3.12483, 3.072483, 3.019437, 2.960844, 2.920148, 2.910998, 
    2.907099, 2.908298, 2.914598, 2.923498, 2.932398, 2.941198, 2.952348, 
    2.963747, 2.974447, 2.983146, 2.986196, 2.236089, 1.48388, 2.816814, 
    2.954046, 2.935497, 2.903297, 2.854298, 2.794, 2.734251, 2.668902, 
    2.593453, 2.523254, 1.83798, 1.972443, 2.217911, 1.797848, 0.5102339, 0, 
    0.8584833, 1.660304, 1.623003, 1.600404, 1.582055, 1.566205, 1.549755, 
    1.529455, 1.515255, 1.518555, 1.144577, 0.2293947, 0.08006327, 1.053045, 
    1.656505, 1.696904, 1.742553, 1.517526, 0.9224228, 1.622079, 1.97255, 
    2.043351, 2.102252, 2.158003, 2.220304, 2.280855, 2.332256, 2.377707, 
    2.420507, 2.455707, 2.482757, 2.506307, 2.527857, 2.546257, 2.560507, 
    2.572657, 2.583407, 2.592307, 2.599258, 2.605158, 2.610458, 2.614909, 
    2.618259, 2.62126, 2.62411, 2.627461, 2.629262, 2.631062, 2.632912, 
    2.633662, 2.633763, 2.632463, 2.628413, 2.622064, 2.614264, 2.604715, 
    2.592815, 2.578566, 2.564017, 2.549117, 2.535118, 2.522968,
  2.414027, 2.395128, 2.353281, 2.299284, 2.242786, 2.188388, 2.13079, 
    2.070893, 2.011544, 1.953242, 1.91804, 1.910437, 1.928283, 1.961179, 
    1.998375, 2.026472, 2.043769, 2.062119, 2.082869, 2.109119, 2.14627, 
    2.193921, 2.246522, 2.289273, 2.317272, 2.346671, 2.378769, 2.404818, 
    2.410516, 2.393115, 2.349663, 2.298763, 2.262513, 2.242015, 2.227366, 
    2.218668, 2.213518, 2.209419, 2.206718, 2.206518, 2.207516, 2.210964, 
    2.216962, 2.223909, 2.234008, 2.246907, 2.264506, 2.284055, 2.308005, 
    2.343154, 2.484555, 2.765656, 3.059758, 3.323409, 3.529609, 3.646258, 
    3.684008, 3.678708, 3.625957, 3.439007, 3.175005, 2.926053, 2.727104, 
    2.620505, 2.594006, 2.614757, 2.661707, 2.719056, 2.767756, 2.788455, 
    2.767653, 2.7236, 2.682247, 2.656296, 2.649348, 2.660703, 2.674761, 
    2.675517, 2.656324, 2.232036, 1.94363, 2.525205, 1.289712, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.057248, 2.140453, 2.153751, 2.163901, 
    2.1682, 2.166649, 2.159999, 2.150899, 2.140399, 2.128799, 2.117748, 
    2.106348, 2.094498, 2.082347, 2.065748, 2.035849, 1.9933, 1.946, 
    1.894749, 1.835097, 1.763694, 1.696589, 1.653233, 1.641027, 1.681021, 
    1.750367, 1.824715, 1.914115, 2.032466, 2.152921, 2.249726, 2.323781, 
    2.369586, 2.379539, 2.378742, 2.375844, 2.241557, 0.8127853, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.125503, 1.253671, 0.6268356, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.5344362, 2.702717, 3.635175, 3.620521, 3.538224, 3.445975, 
    3.362475, 3.284325, 3.212427, 3.146731, 3.072636, 2.989043, 2.930197, 
    2.919497, 2.915447, 2.916797, 2.923247, 2.932498, 2.941397, 2.950248, 
    2.961998, 2.975247, 2.989546, 3.000695, 3.005845, 1.502747, 0, 2.685595, 
    2.972245, 2.952245, 2.916846, 2.862797, 2.797448, 2.733, 2.662951, 
    2.582202, 2.509153, 2.420754, 2.306105, 2.185405, 1.469653, 0.4734962, 
    0.9176081, 1.637103, 1.646902, 1.610003, 1.584654, 1.563655, 1.546255, 
    1.529255, 1.510504, 1.497154, 1.499754, 1.512755, 0.9913646, 0.8563268, 
    1.598556, 1.634506, 1.678855, 1.729954, 1.237952, 0, 1.338751, 1.966903, 
    2.034154, 2.086756, 2.136908, 2.19386, 2.249311, 2.297012, 2.339813, 
    2.380613, 2.415063, 2.441514, 2.464814, 2.486364, 2.504914, 2.519264, 
    2.530814, 2.540865, 2.548365, 2.553765, 2.558466, 2.561966, 2.564467, 
    2.566267, 2.567367, 2.568068, 2.569168, 2.569519, 2.569869, 2.570469, 
    2.570519, 2.569769, 2.56727, 2.56237, 2.55477, 2.54552, 2.534171, 
    2.519822, 2.502672, 2.485023, 2.467374, 2.450225, 2.435725,
  2.304536, 2.281787, 2.231789, 2.169341, 2.105293, 2.043345, 1.977348, 
    1.90975, 1.847301, 1.79325, 1.766697, 1.770294, 1.800041, 1.845188, 
    1.895284, 1.934731, 1.960279, 1.981628, 2.001729, 2.025079, 2.058031, 
    2.101132, 2.149284, 2.190934, 2.220534, 2.253283, 2.290732, 2.322181, 
    2.333529, 2.321427, 2.282526, 2.233925, 2.197025, 2.173775, 2.154876, 
    2.141927, 2.134528, 2.130277, 2.128827, 2.131576, 2.137524, 2.148022, 
    2.163469, 2.179716, 2.196514, 2.214012, 2.234611, 2.25796, 2.285758, 
    2.323358, 2.463158, 2.737061, 3.021265, 3.277468, 3.479971, 3.596621, 
    3.634521, 3.63042, 3.58057, 3.399267, 3.144513, 2.904809, 2.709407, 
    2.601456, 2.570507, 2.588208, 2.634359, 2.692709, 2.743009, 2.767757, 
    2.755804, 2.723, 2.691497, 2.674344, 2.656348, 2.643806, 2.629516, 
    1.711372, 1.306301, 0.8965494, 1.187778, 1.554232, 0.1202237, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5014423, 1.021073, 1.997491, 2.130653, 
    2.148252, 2.161651, 2.1691, 2.169599, 2.164499, 2.156248, 2.146398, 
    2.135298, 2.124748, 2.114547, 2.103547, 2.092647, 2.075247, 2.041398, 
    1.9945, 1.94595, 1.897499, 1.845547, 1.787642, 1.740336, 1.71823, 
    1.730072, 1.793165, 1.879209, 1.962456, 2.054455, 2.168056, 2.27221, 
    2.351965, 2.40862, 2.436475, 2.433629, 2.423981, 2.414684, 1.18978, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.848739, 3.722325, 3.715625, 3.627326, 3.532226, 3.447976, 3.369426, 
    3.291228, 3.212232, 3.119237, 3.013793, 2.943895, 2.931995, 2.927795, 
    2.928895, 2.935296, 2.942996, 2.951047, 2.959747, 2.971647, 2.986746, 
    3.004645, 1.808287, 3.026793, 1.513747, 1.05915, 2.856601, 2.993093, 
    2.972493, 2.934394, 2.875845, 2.806396, 2.737998, 2.664349, 2.5794, 
    2.50435, 2.41375, 2.297599, 2.072413, 0.7322988, 0.9494988, 1.840547, 
    1.727848, 1.638403, 1.596755, 1.570155, 1.547655, 1.528455, 1.511006, 
    1.493905, 1.482854, 1.484455, 1.495755, 1.515106, 1.542706, 1.575057, 
    1.611757, 1.658607, 1.626159, 0.8857638, 0.4472256, 1.329654, 1.948058, 
    2.008561, 2.053513, 2.097765, 2.148417, 2.198269, 2.24227, 2.282421, 
    2.321221, 2.354922, 2.381021, 2.403972, 2.425322, 2.443122, 2.456522, 
    2.467123, 2.475374, 2.480924, 2.484525, 2.487775, 2.489926, 2.490826, 
    2.491776, 2.492026, 2.492026, 2.492027, 2.492026, 2.492026, 2.492026, 
    2.492027, 2.491026, 2.487926, 2.481877, 2.472977, 2.462278, 2.449128, 
    2.432329, 2.41243, 2.391781, 2.371132, 2.351182, 2.333484,
  2.181045, 2.155146, 2.098798, 2.02985, 1.959552, 1.891004, 1.817906, 
    1.744058, 1.680058, 1.630057, 1.611254, 1.624052, 1.662799, 1.717296, 
    1.776843, 1.825391, 1.857289, 1.880788, 1.898639, 1.91804, 1.946292, 
    1.984344, 2.027546, 2.067297, 2.097047, 2.132046, 2.173295, 2.209394, 
    2.225542, 2.21894, 2.185488, 2.140886, 2.105036, 2.081085, 2.060336, 
    2.044986, 2.036536, 2.032986, 2.033836, 2.039485, 2.050283, 2.06808, 
    2.092128, 2.118324, 2.142771, 2.166169, 2.191667, 2.220165, 2.253013, 
    2.293912, 2.430513, 2.692119, 2.960525, 3.201632, 3.394486, 3.508787, 
    3.548037, 3.546335, 3.501983, 3.332977, 3.09502, 2.873511, 2.690056, 
    2.586004, 2.553004, 2.567955, 2.611856, 2.668556, 2.719257, 2.747556, 
    2.743154, 2.72205, 2.701246, 2.691295, 2.656352, 2.614163, 1.941958, 
    0.3892188, 0.1130718, 1.116478, 1.11327, 1.035158, 0.9410492, 0.6208206, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2888502, 1.48092, 2.036105, 2.088504, 
    2.122702, 2.144001, 2.1604, 2.170599, 2.173698, 2.170498, 2.163447, 
    2.154447, 2.144446, 2.134496, 2.125246, 2.115495, 2.105445, 2.086996, 
    2.048247, 1.996149, 1.944801, 1.898, 1.853648, 1.809993, 1.782586, 
    1.781729, 1.817971, 1.905762, 2.010305, 2.105451, 2.203049, 2.314799, 
    2.406752, 2.472207, 2.513512, 2.524817, 2.510321, 2.493473, 1.600132, 
    0.1219842, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.9341451, 3.222224, 3.783532, 3.693132, 3.59898, 3.51533, 
    3.43713, 3.354331, 3.264234, 3.156638, 3.038041, 2.964292, 2.950992, 
    2.946093, 2.946793, 2.951694, 2.956745, 2.962496, 2.969796, 2.981147, 
    2.998246, 1.959078, 0.3029092, 1.979132, 2.290717, 2.588026, 3.031841, 
    3.016941, 2.995742, 2.955292, 2.893393, 2.821144, 2.749994, 2.673595, 
    2.584647, 2.508197, 2.417997, 2.302597, 1.972297, 0, 0.9552474, 1.852745, 
    1.737046, 1.632401, 1.194023, 1.323316, 1.535053, 1.513804, 1.496254, 
    1.480803, 1.470703, 1.471154, 1.481004, 1.497856, 1.522707, 1.552457, 
    1.587759, 1.635309, 1.518458, 0.5334025, 1.341441, 1.581871, 1.913115, 
    1.964768, 2.00352, 2.042272, 2.085525, 2.129077, 2.168529, 2.20553, 
    2.24273, 2.275281, 2.301031, 2.323631, 2.344781, 2.361831, 2.374032, 
    2.383082, 2.389383, 2.393134, 2.395283, 2.397084, 2.397985, 2.398185, 
    2.398535, 2.398535, 2.398535, 2.398535, 2.398535, 2.398535, 2.398535, 
    2.398535, 2.397535, 2.394085, 2.386885, 2.376686, 2.364536, 2.349587, 
    2.330338, 2.307689, 2.28404, 2.260391, 2.237642, 2.216593,
  2.044555, 2.016556, 1.955407, 1.882308, 1.807309, 1.733711, 1.655862, 
    1.577314, 1.513064, 1.467362, 1.45526, 1.475207, 1.520555, 1.582003, 
    1.6488, 1.703898, 1.741296, 1.766096, 1.781047, 1.795699, 1.818301, 
    1.850704, 1.888706, 1.925357, 1.953808, 1.989258, 2.032408, 2.071957, 
    2.092306, 2.090954, 2.063951, 2.024499, 1.990798, 1.967947, 1.946797, 
    1.930498, 1.922297, 1.920046, 1.922896, 1.931694, 1.947542, 1.97144, 
    2.003687, 2.038934, 2.070782, 2.100529, 2.132627, 2.167324, 2.205772, 
    2.24982, 2.381023, 2.623382, 2.870291, 3.0913, 3.270006, 3.379109, 
    3.420808, 3.424355, 3.389251, 3.240591, 3.029029, 2.834617, 2.672757, 
    2.578202, 2.548249, 2.561, 2.600852, 2.654104, 2.703505, 2.733654, 
    2.733453, 2.720601, 2.708249, 2.700099, 2.64016, 2.19246, 0.6399921, 0, 
    1.095481, 2.138674, 1.50018, 1.59374, 1.785076, 1.39788, 0.3679667, 0, 0, 
    0, 0, 0, 0, 0.214335, 0.7404299, 0.229923, 0, 0.5764513, 1.953504, 
    2.023654, 2.079053, 2.117102, 2.141501, 2.1603, 2.173548, 2.179147, 
    2.177997, 2.172646, 2.164496, 2.155745, 2.146745, 2.138444, 2.129544, 
    2.120744, 2.100744, 2.056597, 1.998799, 1.94385, 1.8975, 1.858498, 
    1.827794, 1.819187, 1.838979, 1.89867, 2.010412, 2.133705, 2.242699, 
    2.348196, 2.461494, 2.544697, 2.5992, 2.627805, 2.625609, 2.602112, 
    1.925967, 0.3790414, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.4632933, 0.7721555, 0, 0, 0, 0, 2.696388, 3.833332, 
    3.742383, 3.651231, 3.570929, 3.496477, 3.409529, 3.310982, 3.194584, 
    3.070635, 2.993837, 2.978987, 2.972538, 2.971239, 2.97344, 2.975242, 
    2.977393, 2.981445, 2.991496, 3.010245, 0.9065984, 0, 0.4599536, 
    2.304834, 3.071589, 3.059339, 3.043639, 3.021739, 2.97989, 2.91634, 
    2.84234, 2.768992, 2.689343, 2.597094, 2.522592, 2.43474, 2.31959, 
    1.987591, 0, 0.9672437, 1.874639, 1.667259, 0.8162776, 0.3995572, 
    0.5422168, 0.8409305, 1.505651, 1.488502, 1.474851, 1.46515, 1.464701, 
    1.472002, 1.485253, 1.506205, 1.532057, 1.564009, 1.60961, 1.49466, 
    0.5247039, 1.770764, 1.819117, 1.862922, 1.906625, 1.939028, 1.97143, 
    2.006583, 2.042587, 2.076289, 2.109291, 2.144741, 2.175992, 2.201042, 
    2.223293, 2.244243, 2.260843, 2.272543, 2.280743, 2.285843, 2.287994, 
    2.289544, 2.290394, 2.290994, 2.291044, 2.291044, 2.291044, 2.291044, 
    2.291044, 2.291044, 2.291044, 2.291044, 2.290894, 2.289544, 2.285744, 
    2.277845, 2.266395, 2.252546, 2.235547, 2.213848, 2.188598, 2.16205, 
    2.135151, 2.109652, 2.085703,
  1.896565, 1.867166, 1.803416, 1.727867, 1.650817, 1.574468, 1.493419, 
    1.412969, 1.350817, 1.310015, 1.303813, 1.33021, 1.380808, 1.446457, 
    1.518305, 1.578603, 1.619552, 1.644402, 1.656354, 1.665357, 1.682309, 
    1.708711, 1.740814, 1.773416, 1.799817, 1.833568, 1.875969, 1.916069, 
    1.939069, 1.941417, 1.920465, 1.887062, 1.856561, 1.83551, 1.815359, 
    1.800308, 1.793557, 1.793107, 1.798405, 1.810254, 1.830053, 1.858251, 
    1.897199, 1.939447, 1.977294, 2.013392, 2.051739, 2.093336, 2.137534, 
    2.185931, 2.307886, 2.523999, 2.744811, 2.94427, 3.105727, 3.20858, 
    3.254078, 3.265624, 3.242918, 3.122905, 2.948287, 2.78802, 2.655557, 
    2.579397, 2.556244, 2.567744, 2.604344, 2.654495, 2.701996, 2.732347, 
    2.732248, 2.711956, 2.690516, 2.66628, 2.451499, 0.8953587, 0, 0.7333274, 
    1.971795, 1.933643, 1.813588, 1.70753, 1.603021, 1.480112, 1.01901, 
    0.5964437, 0.1111556, 0.3713848, 0, 0.4175456, 0.6288162, 0.8934557, 
    1.480252, 1.027718, 0.8652655, 1.214057, 1.944253, 2.014853, 2.072102, 
    2.112702, 2.139751, 2.161199, 2.177498, 2.185597, 2.186246, 2.182696, 
    2.175945, 2.168195, 2.160744, 2.153294, 2.145493, 2.137393, 2.115993, 
    2.067295, 2.003897, 1.944899, 1.898, 1.862298, 1.841745, 1.850188, 
    1.88923, 1.970971, 2.104263, 2.246405, 2.370698, 2.486243, 2.603591, 
    2.68404, 2.730943, 2.750196, 2.739049, 2.2988, 0.6598092, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1269922, 1.770984, 
    2.224674, 1.588252, 1.722987, 1.819256, 1.897389, 3.306695, 3.878082, 
    3.785783, 3.698231, 3.622929, 3.553877, 3.464677, 3.360728, 3.240679, 
    3.11313, 3.032882, 3.015983, 3.007134, 3.002685, 3.000737, 2.99799, 
    2.995242, 2.994594, 3.002346, 2.26239, 0.4547354, 0, 0, 1.551995, 
    3.099439, 3.087239, 3.070489, 3.048489, 3.006888, 2.944288, 2.870836, 
    2.795737, 2.713637, 2.621036, 2.551884, 2.466734, 2.347987, 2.008342, 0, 
    0.9782476, 1.892097, 1.59125, 0, 0, 0, 0.07546395, 0.976897, 1.489248, 
    1.477047, 1.468597, 1.467797, 1.470999, 1.479451, 1.495203, 1.515856, 
    1.542508, 1.583511, 0.903291, 0.8394785, 1.309127, 1.771472, 1.802677, 
    1.836832, 1.862035, 1.886888, 1.913092, 1.940146, 1.96705, 1.995352, 
    2.027853, 2.057854, 2.082304, 2.104304, 2.125254, 2.141704, 2.153054, 
    2.161254, 2.165854, 2.167204, 2.168055, 2.168555, 2.169005, 2.169055, 
    2.169055, 2.169055, 2.169055, 2.169055, 2.169055, 2.169055, 2.169055, 
    2.168905, 2.167555, 2.163405, 2.154356, 2.141606, 2.126307, 2.107507, 
    2.083308, 2.05501, 2.025561, 1.996112, 1.967713, 1.941114,
  1.748067, 1.717967, 1.653367, 1.576717, 1.499067, 1.421418, 1.338568, 
    1.258868, 1.200316, 1.163814, 1.162762, 1.193761, 1.24806, 1.315659, 
    1.389909, 1.453558, 1.495558, 1.519708, 1.529209, 1.53366, 1.545313, 
    1.565716, 1.590869, 1.617972, 1.642323, 1.673324, 1.712976, 1.750928, 
    1.774328, 1.779526, 1.764124, 1.73822, 1.712567, 1.693217, 1.674915, 
    1.662265, 1.657314, 1.658313, 1.665863, 1.679862, 1.702061, 1.73301, 
    1.775309, 1.821708, 1.863307, 1.904206, 1.947803, 1.995052, 2.044549, 
    2.098946, 2.206554, 2.392818, 2.58633, 2.764091, 2.910047, 3.009347, 
    3.060095, 3.08144, 3.072034, 2.990813, 2.860791, 2.739872, 2.640007, 
    2.585897, 2.570993, 2.583742, 2.619292, 2.667543, 2.713494, 2.741945, 
    2.731303, 2.687166, 2.63828, 2.578898, 1.263989, 0, 0, 0.7346306, 
    1.773739, 1.722594, 1.617086, 1.530126, 1.449315, 1.348504, 1.256043, 
    1.163578, 0.6467562, 0.9122933, 0.564476, 1.012936, 1.265144, 1.364744, 
    1.482746, 1.599347, 1.732949, 1.852302, 1.936504, 2.006355, 2.065104, 
    2.107802, 2.137501, 2.16195, 2.180999, 2.191697, 2.194496, 2.192745, 
    2.187445, 2.180994, 2.174744, 2.168493, 2.161942, 2.154542, 2.132742, 
    2.080493, 2.012345, 1.948648, 1.899749, 1.865898, 1.852646, 1.87474, 
    1.930733, 2.031875, 2.185316, 2.347256, 2.487449, 2.614344, 2.737141, 
    2.820439, 2.863939, 2.877691, 2.717276, 0.9735521, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2460576, 2.528981, 
    2.816582, 3.129696, 3.448101, 3.658734, 3.825724, 3.934969, 3.932319, 
    3.836272, 3.749723, 3.677173, 3.609874, 3.521073, 3.415723, 3.295322, 
    3.165623, 3.082624, 3.062726, 3.050527, 3.04153, 3.033383, 3.024986, 
    3.016589, 3.010192, 3.014044, 1.509997, 0, 0, 0, 1.564245, 3.124289, 
    3.112189, 3.095139, 3.073739, 3.034487, 2.975785, 2.905782, 2.831481, 
    2.75053, 2.659879, 2.595777, 2.509228, 2.381733, 2.031487, 0, 0.9849963, 
    1.245054, 0.796488, 0, 0, 0, 0, 0.4517978, 1.500242, 1.488892, 1.481242, 
    1.477095, 1.475497, 1.479149, 1.488702, 1.503305, 1.525507, 1.015166, 
    0.7987092, 0.5804878, 0.8525111, 1.717976, 1.736781, 1.760386, 1.77779, 
    1.794144, 1.810149, 1.827554, 1.846807, 1.86991, 1.898512, 1.926563, 
    1.949814, 1.970965, 1.991315, 2.007565, 2.018565, 2.026416, 2.030416, 
    2.031566, 2.031816, 2.032417, 2.032566, 2.032566, 2.032566, 2.032566, 
    2.032566, 2.032566, 2.032566, 2.032566, 2.032566, 2.032566, 2.031317, 
    2.026567, 2.016867, 2.003467, 1.987567, 1.968167, 1.942767, 1.912567, 
    1.881567, 1.850917, 1.821217, 1.793467,
  1.609567, 1.579817, 1.515916, 1.441414, 1.368558, 1.295354, 1.217148, 
    1.142744, 1.088041, 1.055739, 1.058238, 1.092036, 1.145039, 1.207844, 
    1.2765, 1.335506, 1.374059, 1.396161, 1.404611, 1.406463, 1.412815, 
    1.426519, 1.444323, 1.465026, 1.487577, 1.515378, 1.550431, 1.583834, 
    1.606335, 1.614133, 1.604731, 1.586677, 1.566574, 1.548923, 1.532872, 
    1.522221, 1.518571, 1.52017, 1.528471, 1.544319, 1.568319, 1.600718, 
    1.644318, 1.692317, 1.736316, 1.780314, 1.828812, 1.881109, 1.935556, 
    1.996303, 2.085963, 2.240629, 2.406843, 2.563953, 2.699108, 2.797258, 
    2.853855, 2.884901, 2.890192, 2.854769, 2.772544, 2.692074, 2.624658, 
    2.588251, 2.576252, 2.585258, 2.61776, 2.663312, 2.705765, 2.729318, 
    2.705173, 2.632038, 1.938173, 1.264573, 0.1253762, 0, 0, 0, 1.492328, 
    1.547474, 1.46406, 1.401646, 1.347632, 1.272268, 1.20026, 1.132101, 
    1.087484, 1.099981, 1.148232, 1.207682, 1.287634, 1.385685, 1.498988, 
    1.610542, 1.736947, 1.848951, 1.929253, 1.998003, 2.057703, 2.102902, 
    2.135251, 2.16235, 2.183999, 2.197297, 2.202496, 2.202445, 2.198494, 
    2.193644, 2.188243, 2.183193, 2.177892, 2.171342, 2.149742, 2.095242, 
    2.022894, 1.955396, 1.904247, 1.870597, 1.862395, 1.894691, 1.965234, 
    2.082326, 2.254368, 2.435159, 2.589952, 2.728297, 2.857593, 2.944891, 
    2.98919, 3.00164, 2.690944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.1190698, 1.22208, 1.365374, 1.541601, 3.299749, 
    3.699076, 3.887716, 4.010208, 4.006059, 3.902913, 3.812716, 3.738268, 
    3.669569, 3.581568, 3.476718, 3.357517, 3.227567, 3.142718, 3.11897, 
    3.102223, 3.086976, 3.071729, 3.056484, 3.041587, 3.02834, 2.572202, 
    0.7572621, 0, 0, 0, 1.575495, 3.147139, 3.134789, 3.118289, 3.097988, 
    3.061936, 3.008784, 2.94448, 2.874477, 2.796775, 2.708823, 2.65027, 
    2.562969, 2.431568, 2.071923, 0, 0.4949982, 0.2969989, 0, 0, 0, 0, 0, 
    0.4573468, 1.51874, 1.50739, 1.497492, 1.488194, 1.482995, 1.482697, 
    1.485651, 1.493404, 1.512506, 0.456752, 0.6378419, 0.2415564, 1.230107, 
    1.662028, 1.669334, 1.682439, 1.691543, 1.698198, 1.703204, 1.710609, 
    1.722313, 1.739616, 1.763619, 1.788471, 1.809322, 1.828423, 1.846925, 
    1.862275, 1.872326, 1.879227, 1.882827, 1.883078, 1.883078, 1.883078, 
    1.883079, 1.882929, 1.882579, 1.882579, 1.882529, 1.88208, 1.88208, 
    1.882079, 1.88208, 1.88208, 1.880829, 1.876079, 1.866879, 1.854128, 
    1.838827, 1.820376, 1.795875, 1.767524, 1.738072, 1.708271, 1.680169, 
    1.653618,
  1.484064, 1.455363, 1.394711, 1.327955, 1.265299, 1.201944, 1.133639, 
    1.068384, 1.01928, 0.9911783, 0.9957273, 1.029179, 1.074285, 1.125692, 
    1.182498, 1.230404, 1.261558, 1.279761, 1.286612, 1.286713, 1.289064, 
    1.296667, 1.307421, 1.323073, 1.343324, 1.367426, 1.396879, 1.424133, 
    1.443336, 1.452036, 1.448683, 1.43748, 1.422827, 1.407825, 1.394373, 
    1.386321, 1.38432, 1.386869, 1.395568, 1.412469, 1.437069, 1.469719, 
    1.513319, 1.56162, 1.60682, 1.652719, 1.704918, 1.762166, 1.821313, 
    1.887811, 1.970408, 2.09722, 2.238333, 2.37909, 2.507992, 2.60744, 
    2.670336, 2.710481, 2.729875, 2.726865, 2.688793, 2.646174, 2.605313, 
    2.575064, 2.556269, 2.553227, 2.573537, 2.604151, 2.633313, 2.647419, 
    2.483467, 1.298561, 0.6354405, 0, 0, 0, 0, 0, 1.374494, 1.444332, 
    1.388017, 1.352353, 1.317099, 1.257646, 1.197243, 1.14943, 1.128572, 
    1.14612, 1.19372, 1.250422, 1.325876, 1.420828, 1.526733, 1.62739, 
    1.742597, 1.846401, 1.923503, 1.991154, 2.051753, 2.099002, 2.134001, 
    2.163399, 2.187048, 2.202747, 2.209746, 2.211495, 2.208994, 2.205444, 
    2.201243, 2.197042, 2.192842, 2.186992, 2.165492, 2.110042, 2.034893, 
    1.964445, 1.911745, 1.877596, 1.872694, 1.91324, 1.995235, 2.124829, 
    2.311972, 2.509114, 2.676707, 2.824703, 2.96, 3.051448, 3.099445, 
    3.114542, 2.795098, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7755554, 0, 0, 0, 1.577664, 2.447538, 3.953965, 
    4.090159, 4.085958, 3.973763, 3.878466, 3.799268, 3.72817, 3.64037, 
    3.537219, 3.421466, 3.294363, 3.208813, 3.180965, 3.158718, 3.136922, 
    3.114276, 3.09123, 3.068535, 3.048039, 2.129044, 0, 0, 0, 0, 1.586244, 
    3.168989, 3.156888, 3.141438, 3.122486, 3.089884, 3.042331, 2.984778, 
    2.921724, 2.84887, 2.764068, 2.709917, 2.625215, 2.497463, 2.129766, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.4640961, 1.541237, 1.529537, 1.514989, 1.500593, 
    1.493244, 1.490095, 1.486748, 1.488251, 1.126164, 0.2276474, 0.6939442, 
    1.021864, 1.596776, 1.605131, 1.603685, 1.60699, 1.607794, 1.6044, 
    1.598755, 1.59666, 1.601563, 1.613466, 1.632668, 1.65372, 1.671821, 
    1.688523, 1.705374, 1.718974, 1.727575, 1.733376, 1.736726, 1.736076, 
    1.735826, 1.735226, 1.734577, 1.733777, 1.733077, 1.732728, 1.732478, 
    1.731578, 1.731578, 1.731228, 1.731078, 1.731078, 1.730078, 1.725928, 
    1.717877, 1.706427, 1.692576, 1.675925, 1.653473, 1.628272, 1.60182, 
    1.575019, 1.549667, 1.525566,
  1.373061, 1.346459, 1.293403, 1.237497, 1.185291, 1.131685, 1.07263, 
    1.016175, 0.9735211, 0.9494185, 0.9542692, 0.9809749, 1.015281, 1.054838, 
    1.099046, 1.135803, 1.159307, 1.17266, 1.177711, 1.17741, 1.178061, 
    1.181862, 1.188014, 1.200615, 1.218316, 1.238469, 1.261873, 1.282626, 
    1.29658, 1.303881, 1.305129, 1.299326, 1.289574, 1.278421, 1.26792, 
    1.262768, 1.262817, 1.267066, 1.275966, 1.291817, 1.315568, 1.34667, 
    1.38932, 1.436971, 1.482071, 1.52892, 1.58252, 1.642569, 1.705317, 
    1.775766, 1.862813, 1.971272, 2.094829, 2.224335, 2.349387, 2.452085, 
    2.522331, 2.571575, 2.602219, 2.615261, 2.611294, 2.59823, 2.577469, 
    2.543522, 2.51253, 2.493091, 2.493104, 2.49727, 2.505332, 1.658982, 
    1.143235, 0, 0, 0, 0, 0, 0, 0, 1.284658, 1.372899, 1.344532, 1.33192, 
    1.308711, 1.261799, 1.22098, 1.194519, 1.185863, 1.209358, 1.258206, 
    1.311608, 1.379463, 1.465671, 1.557732, 1.644191, 1.748246, 1.844501, 
    1.918503, 1.984803, 2.046304, 2.095752, 2.133001, 2.16395, 2.189549, 
    2.207198, 2.215997, 2.219196, 2.218395, 2.215744, 2.212744, 2.209743, 
    2.205943, 2.201142, 2.179992, 2.123493, 2.046794, 1.974144, 1.919995, 
    1.884746, 1.881995, 1.928743, 2.017241, 2.154388, 2.352033, 2.560828, 
    2.738224, 2.892871, 3.032569, 3.128666, 3.182212, 3.202159, 2.875562, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3763095, 
    0.8078544, 0.8604604, 0, 0, 0, 0, 0.5856839, 1.99533, 2.066413, 3.929978, 
    4.019536, 3.922235, 3.842084, 3.770782, 3.68508, 3.586976, 3.47837, 
    3.359164, 3.27691, 3.244713, 3.216716, 3.187471, 3.157475, 3.12673, 
    3.095984, 3.069637, 2.141992, 0, 0, 0, 0, 1.596244, 3.18829, 3.177339, 
    3.163238, 3.145987, 3.116835, 3.074332, 3.02243, 2.966476, 2.900022, 
    2.820718, 2.767917, 2.685966, 2.563413, 2.188069, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4729439, 1.57073, 1.557981, 1.539733, 1.518886, 1.507989, 1.502691, 
    1.493444, 1.489148, 0.7447503, 0, 1.377714, 1.542822, 1.548529, 1.546884, 
    1.538439, 1.532894, 1.525798, 1.513803, 1.499357, 1.49016, 1.489813, 
    1.497864, 1.513666, 1.531468, 1.547069, 1.56197, 1.576871, 1.588822, 
    1.596573, 1.601523, 1.603874, 1.603423, 1.602574, 1.601724, 1.600574, 
    1.599274, 1.598325, 1.597375, 1.596525, 1.595575, 1.595326, 1.594726, 
    1.594575, 1.594576, 1.593575, 1.590125, 1.582925, 1.572724, 1.560573, 
    1.545622, 1.52592, 1.503369, 1.479567, 1.456115, 1.433614, 1.411663,
  1.277055, 1.255001, 1.212444, 1.168037, 1.126031, 1.081925, 1.031619, 
    0.9831647, 0.9462616, 0.9254602, 0.9268139, 0.9432704, 0.9662778, 
    0.9934862, 1.024244, 1.050201, 1.066555, 1.075907, 1.079408, 1.080207, 
    1.082055, 1.086003, 1.091502, 1.103302, 1.119053, 1.135505, 1.152859, 
    1.167113, 1.175816, 1.180668, 1.183318, 1.182015, 1.177062, 1.170009, 
    1.163756, 1.160905, 1.162054, 1.166705, 1.174756, 1.187409, 1.207063, 
    1.234416, 1.274419, 1.32067, 1.365071, 1.412271, 1.464573, 1.523575, 
    1.586576, 1.657977, 1.748126, 1.850624, 1.962331, 2.083486, 2.205937, 
    2.314182, 2.393076, 2.453068, 2.496508, 2.522102, 2.538544, 2.547631, 
    2.537729, 2.495936, 2.448797, 1.588239, 1.224931, 1.220225, 1.219023, 
    0.3666081, 0, 0, 0, 0, 0.07530566, 0.7419705, 0.6996236, 0.6695113, 
    1.265912, 1.304484, 1.30077, 1.305811, 1.298051, 1.272837, 1.258724, 
    1.250214, 1.253955, 1.283352, 1.330456, 1.37896, 1.439714, 1.51397, 
    1.590228, 1.663686, 1.756893, 1.845598, 1.916, 1.979053, 2.039954, 
    2.091354, 2.130003, 2.161653, 2.188503, 2.207152, 2.217502, 2.221901, 
    2.222351, 2.2204, 2.21825, 2.2161, 2.213448, 2.209947, 2.189247, 
    2.132147, 2.054348, 1.980848, 1.925498, 1.889049, 1.886599, 1.9352, 
    2.025001, 2.163102, 2.364053, 2.576903, 2.758502, 2.916651, 3.058301, 
    3.158549, 3.216997, 3.240795, 3.074741, 1.12559, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2035949, 1.081339, 1.59393, 0.164103, 
    0, 0, 0, 0, 0, 0, 0, 2.070734, 4.017317, 3.923514, 3.848959, 3.783054, 
    3.705197, 3.61599, 3.518731, 3.414819, 3.341762, 3.306962, 3.273215, 
    3.235621, 3.198026, 3.15973, 3.122134, 2.936581, 1.075844, 0, 0, 0, 0, 
    0.8015015, 1.60055, 3.03499, 3.183188, 3.168236, 3.142783, 3.104381, 
    3.057428, 3.007724, 2.94822, 2.876814, 2.403242, 1.359198, 1.299123, 
    1.108836, 0, 0, 0, 0, 0, 0, 0, 0.08174759, 1.055077, 1.603231, 1.588932, 
    1.568083, 1.542685, 1.527986, 1.520637, 1.507339, 1.496393, 0.7457484, 0, 
    1.356063, 1.507321, 1.500779, 1.488986, 1.47324, 1.458946, 1.445049, 
    1.426603, 1.405906, 1.391759, 1.38831, 1.39466, 1.40911, 1.425011, 
    1.438812, 1.451913, 1.464864, 1.475015, 1.481816, 1.485817, 1.487417, 
    1.486768, 1.485318, 1.483868, 1.482069, 1.48012, 1.47832, 1.476871, 
    1.475571, 1.474421, 1.473571, 1.473071, 1.472622, 1.472572, 1.471822, 
    1.468622, 1.462421, 1.45352, 1.442819, 1.429668, 1.412417, 1.392615, 
    1.371813, 1.351361, 1.331609, 1.312107,
  1.197547, 1.181444, 1.150036, 1.117578, 1.085272, 1.050516, 1.00896, 
    0.9670058, 0.934753, 0.9151029, 0.9100575, 0.9154153, 0.9265233, 
    0.9407818, 0.9584406, 0.9745468, 0.9852996, 0.9922011, 0.99555, 
    0.9987479, 1.004045, 1.011443, 1.020389, 1.033637, 1.048288, 1.061889, 
    1.073843, 1.082246, 1.086299, 1.088601, 1.090551, 1.09205, 1.091049, 
    1.087946, 1.086044, 1.085192, 1.086543, 1.089644, 1.094647, 1.102401, 
    1.115555, 1.13676, 1.171015, 1.21277, 1.254073, 1.298876, 1.34663, 
    1.401183, 1.460836, 1.530288, 1.62054, 1.726037, 1.833835, 1.950736, 
    2.075382, 2.192725, 2.282067, 2.354609, 2.413948, 2.453536, 2.480031, 
    2.503725, 2.494477, 2.084661, 1.207108, 0.358828, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.700366, 1.397418, 1.330594, 1.28827, 1.264043, 1.261571, 1.276511, 
    1.29705, 1.307286, 1.302974, 1.306214, 1.313305, 1.330047, 1.364293, 
    1.405946, 1.4483, 1.501656, 1.566012, 1.630469, 1.694574, 1.775133, 
    1.853791, 1.917748, 1.975751, 2.033604, 2.084206, 2.122257, 2.153658, 
    2.180508, 2.199158, 2.209758, 2.214758, 2.215908, 2.215057, 2.213507, 
    2.211956, 2.210905, 2.208605, 2.187755, 2.130855, 2.053304, 1.979205, 
    1.923005, 1.885356, 1.881507, 1.92746, 2.013515, 2.147868, 2.345172, 
    2.555475, 2.735528, 2.892481, 3.031784, 3.130039, 3.18929, 3.21459, 
    3.21204, 2.233028, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.3966148, 1.361065, 1.484465, 0.1520629, 0, 0, 0, 0, 0, 0, 0, 
    0.2016687, 2.00437, 2.913335, 3.817433, 3.762623, 3.696265, 3.619007, 
    3.538244, 3.455529, 3.397217, 3.362716, 3.325068, 3.279722, 3.235176, 
    3.191479, 3.148482, 2.801387, 0, 0, 0, 0, 0, 0, 0, 1.603759, 3.201638, 
    3.188738, 3.166386, 3.131434, 3.088782, 3.044479, 2.991425, 2.926722, 
    2.025779, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8336551, 1.645584, 1.630234, 
    1.615584, 1.593534, 1.566085, 1.549236, 1.540088, 1.52359, 1.506544, 
    0.749247, 0, 1.33836, 1.47532, 1.456278, 1.434085, 1.41109, 1.388945, 
    1.369049, 1.345652, 1.320954, 1.303955, 1.299804, 1.306504, 1.321103, 
    1.336703, 1.349054, 1.360355, 1.371806, 1.380207, 1.385808, 1.388608, 
    1.389409, 1.38811, 1.38606, 1.384011, 1.381111, 1.378312, 1.375562, 
    1.373512, 1.371613, 1.370113, 1.368564, 1.367715, 1.367064, 1.366565, 
    1.366065, 1.363114, 1.357465, 1.349814, 1.340313, 1.328712, 1.313461, 
    1.296359, 1.278807, 1.260906, 1.244053, 1.227202,
  1.135038, 1.124534, 1.103977, 1.08197, 1.058765, 1.032759, 0.999753, 
    0.9636985, 0.9347468, 0.9141982, 0.9019035, 0.8967102, 0.8967674, 
    0.899275, 0.9051325, 0.9128377, 0.9197901, 0.9256899, 0.9306388, 
    0.9371364, 0.9457844, 0.9565323, 0.9701799, 0.9857782, 1.000028, 1.01113, 
    1.018833, 1.022685, 1.023038, 1.024088, 1.026636, 1.030134, 1.031782, 
    1.031681, 1.03203, 1.032679, 1.033031, 1.033033, 1.032588, 1.033743, 
    1.040048, 1.054053, 1.080559, 1.115564, 1.151568, 1.190373, 1.232127, 
    1.280832, 1.335586, 1.401189, 1.487893, 1.594444, 1.705342, 1.824987, 
    1.95753, 2.085922, 2.186814, 2.273003, 2.35009, 2.408925, 2.445266, 
    2.475313, 1.362529, 0.8517058, 0, 0, 0, 0.2820496, 0.9231893, 0.8800007, 
    0.08687666, 0, 0, 0, 0.6857032, 1.244242, 1.212817, 1.206242, 1.220016, 
    1.242305, 1.271995, 1.307286, 1.335774, 1.350011, 1.368699, 1.390189, 
    0.7578691, 0.7044473, 0.7242754, 1.30331, 1.583581, 1.637189, 1.689449, 
    1.742759, 1.808171, 1.871634, 1.924243, 1.973702, 2.025707, 2.072461, 
    2.108262, 2.138114, 2.164015, 2.182015, 2.192266, 2.197266, 2.198915, 
    2.198865, 2.198265, 2.197664, 2.197413, 2.195464, 2.175013, 2.119211, 
    2.042211, 1.967412, 1.909763, 1.869965, 1.862869, 1.903323, 1.982528, 
    2.109685, 2.30029, 2.505444, 2.681297, 2.83405, 2.968503, 3.059958, 
    3.118058, 3.144307, 3.141957, 2.183341, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.06076373, 0.8006606, 1.264567, 0.8825325, 
    0.07130095, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.957105, 1.899139, 3.529556, 
    3.66368, 3.603265, 3.5432, 3.483833, 3.442022, 3.408471, 3.369321, 
    3.319323, 3.271224, 3.224725, 3.17648, 2.820836, 0, 0, 0, 0, 0, 0, 0, 
    0.1608778, 2.089891, 3.206738, 3.186286, 3.154884, 3.115981, 3.076977, 
    3.029922, 2.971467, 2.059026, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.600797, 
    1.520628, 0.8300751, 1.237324, 1.640382, 1.616984, 1.587635, 1.568987, 
    1.557688, 1.537042, 1.515444, 1.126717, 0.2242316, 1.32391, 1.447668, 
    1.415777, 1.383884, 1.354088, 1.325592, 1.299796, 1.272599, 1.246099, 
    1.229098, 1.225797, 1.234046, 1.250144, 1.266893, 1.277794, 1.287645, 
    1.296897, 1.303898, 1.308298, 1.310249, 1.31, 1.3083, 1.30555, 1.302801, 
    1.298652, 1.295152, 1.291803, 1.288804, 1.286104, 1.283955, 1.282055, 
    1.280855, 1.280005, 1.278905, 1.277806, 1.274957, 1.269456, 1.262107, 
    1.253556, 1.243255, 1.230004, 1.215452, 1.20055, 1.185298, 1.170997, 
    1.156744,
  1.087031, 1.081428, 1.070372, 1.056916, 1.04176, 1.023455, 0.9977, 
    0.9677456, 0.9412436, 0.9185953, 0.8994, 0.8861051, 0.8775105, 0.8710159, 
    0.8678216, 0.8694252, 0.8737767, 0.8798766, 0.887224, 0.8972213, 
    0.9082699, 0.921069, 0.9370182, 0.9531192, 0.9660211, 0.9740239, 
    0.9782764, 0.978429, 0.97653, 0.978129, 0.9841256, 0.9915216, 0.9967684, 
    0.9995657, 1.001464, 1.002365, 1.001016, 0.9972186, 0.9895748, 0.9826311, 
    0.9807879, 0.9869943, 1.00515, 1.033056, 1.062562, 1.094167, 1.129572, 
    1.171827, 1.220832, 1.281036, 1.36259, 1.466493, 1.578843, 1.705188, 
    1.846632, 1.985625, 2.097816, 2.198106, 2.294741, 2.373577, 1.814682, 
    1.234802, 0.1238858, 0, 0, 0, 0.08796763, 1.148921, 1.742161, 1.654313, 
    0.8130385, 0.6802264, 0.3270079, 0, 0.5702701, 1.153389, 1.155765, 
    1.176001, 1.213642, 1.250283, 1.291975, 1.339617, 1.381459, 1.41065, 
    1.441694, 1.474488, 0.1482436, 0, 0.417372, 1.404322, 1.677782, 1.71984, 
    1.759948, 1.799358, 1.847971, 1.893185, 1.931996, 1.968006, 2.012263, 
    2.054066, 2.086769, 2.114571, 2.138123, 2.154874, 2.164525, 2.169625, 
    2.171425, 2.171674, 2.172024, 2.172374, 2.172873, 2.170823, 2.151522, 
    2.097221, 2.020171, 1.944322, 1.884274, 1.841028, 1.828182, 1.86024, 
    1.931297, 2.049603, 2.232908, 2.432912, 2.605065, 2.754467, 2.885319, 
    2.971122, 3.026576, 3.054375, 3.052325, 2.119653, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.608218, 1.217499, 1.217499, 0.3652498, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.838519, 3.616889, 3.585261, 3.546296, 
    3.50908, 3.478775, 3.447472, 3.408122, 3.356373, 3.306774, 3.257477, 
    3.20398, 2.838638, 0, 0, 0, 0, 0, 0, 0, 0, 0.4838759, 2.415704, 3.205536, 
    3.177933, 3.143978, 3.111722, 3.072116, 3.021959, 2.09612, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.21658, 1.552575, 0, 0.4163746, 1.414609, 1.642429, 
    1.610331, 1.589983, 1.575935, 1.550139, 1.523744, 1.504248, 0.9652733, 
    1.385198, 1.424316, 1.380524, 1.34023, 1.304584, 1.270238, 1.239541, 
    1.210242, 1.184141, 1.16854, 1.167288, 1.177936, 1.197083, 1.215582, 
    1.225283, 1.233584, 1.240885, 1.246086, 1.249287, 1.250388, 1.249488, 
    1.247139, 1.243789, 1.24009, 1.23509, 1.230492, 1.226542, 1.222593, 
    1.219493, 1.216444, 1.214294, 1.212495, 1.210995, 1.209246, 1.207296, 
    1.203597, 1.198347, 1.190747, 1.182547, 1.173297, 1.161546, 1.149045, 
    1.136543, 1.124041, 1.112039, 1.100637,
  1.051523, 1.04977, 1.045816, 1.039211, 1.030757, 1.018453, 0.9986985, 
    0.9741445, 0.9499928, 0.925494, 0.9013469, 0.8821009, 0.8675048, 
    0.8550085, 0.8464111, 0.8444629, 0.8477631, 0.8545622, 0.8647103, 
    0.8778082, 0.8910064, 0.9045561, 0.9199579, 0.9343594, 0.9442623, 
    0.9482157, 0.9482698, 0.9451222, 0.9430215, 0.946869, 0.9571159, 
    0.9692126, 0.9790087, 0.9856555, 0.9898533, 0.9910526, 0.9877543, 
    0.9792089, 0.9636151, 0.9483715, 0.9377782, 0.9355848, 0.9456413, 
    0.9657475, 0.9883028, 1.012958, 1.041564, 1.077319, 1.120074, 1.173679, 
    1.248785, 1.34799, 1.458593, 1.589142, 1.736339, 1.883883, 2.005826, 
    2.119365, 2.2356, 1.982643, 0.5976977, 0, 0, 0, 0, 0, 0.166166, 1.635857, 
    1.542397, 1.460136, 1.381066, 1.303694, 0.6297901, 0, 0.5686735, 1.12725, 
    1.147747, 1.183287, 1.232678, 1.281468, 1.333959, 1.392401, 1.368564, 
    0.7231967, 1.134548, 1.557434, 0.8976647, 0.8466533, 1.28853, 1.732182, 
    1.762138, 1.794594, 1.824702, 1.852011, 1.884772, 1.911487, 1.934501, 
    1.956462, 1.991869, 2.028174, 2.057027, 2.08168, 2.102682, 2.117584, 
    2.126285, 2.131135, 2.132985, 2.133684, 2.134284, 2.135584, 2.136883, 
    2.134883, 2.115285, 2.062084, 1.986082, 1.910031, 1.847782, 1.799886, 
    1.779543, 1.80185, 1.864307, 1.974363, 2.14997, 2.343726, 2.51183, 
    2.658931, 2.787832, 2.870034, 2.921087, 2.950785, 2.805963, 1.043955, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.102041, 1.22449, 
    0.9172285, 0.1829902, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3561048, 
    3.567487, 3.57775, 3.560731, 3.535628, 3.510825, 3.483223, 3.444072, 
    3.390025, 3.339026, 3.28598, 3.228382, 2.855386, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.8080312, 1.610103, 3.039738, 3.172727, 3.149719, 3.120059, 1.683722, 
    1.05973, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6159266, 1.582179, 0.6146722, 0, 
    1.185084, 1.669379, 1.634232, 1.611734, 1.595535, 1.564688, 1.532892, 
    1.507746, 1.481902, 1.448358, 1.404365, 1.352269, 1.304026, 1.261682, 
    1.222485, 1.189536, 1.160085, 1.135633, 1.122431, 1.125027, 1.139523, 
    1.162021, 1.182419, 1.19127, 1.198021, 1.203822, 1.207273, 1.209274, 
    1.209175, 1.207875, 1.204626, 1.200777, 1.196227, 1.190528, 1.184679, 
    1.17978, 1.17523, 1.171481, 1.167781, 1.165032, 1.162282, 1.159933, 
    1.157084, 1.154285, 1.149736, 1.143836, 1.135588, 1.127288, 1.118637, 
    1.108037, 1.096986, 1.086534, 1.076432, 1.06703, 1.058528,
  1.028015, 1.028714, 1.028862, 1.026909, 1.022756, 1.014753, 0.9997, 
    0.9792473, 0.9567462, 0.9317958, 0.9057459, 0.8834966, 0.8662471, 
    0.8510975, 0.8408476, 0.8374481, 0.8409975, 0.8487469, 0.8606958, 
    0.8754452, 0.8889967, 0.9011493, 0.9134526, 0.9243069, 0.9302605, 
    0.9302635, 0.9258667, 0.9201184, 0.9192672, 0.9268135, 0.9416092, 
    0.9585546, 0.9732504, 0.9837474, 0.9916435, 0.9937428, 0.9882445, 
    0.9743488, 0.9510552, 0.9274125, 0.9090184, 0.8990244, 0.9007317, 
    0.9135873, 0.9300418, 0.9485965, 0.970552, 0.9996576, 1.035813, 1.082119, 
    1.149676, 1.240385, 1.345591, 1.475294, 1.624593, 1.77789, 1.906836, 
    2.031927, 2.165814, 1.926666, 0.5720403, 0, 0, 0, 0, 0, 0.7247459, 
    1.452591, 1.379867, 1.317645, 1.267218, 1.217745, 0.879289, 0.1708633, 
    0.05629413, 0.7353077, 1.15574, 1.206175, 1.268663, 1.329952, 1.393693, 
    0.9312252, 0.7446785, 0.8009562, 1.216782, 1.639282, 1.68084, 1.729494, 
    1.773448, 1.802354, 1.825609, 1.850814, 1.87297, 1.890926, 1.910087, 
    1.91965, 1.926513, 1.936172, 1.962978, 1.993134, 2.017787, 2.03859, 
    2.056743, 2.069795, 2.077296, 2.081646, 2.083546, 2.084696, 2.085795, 
    2.087944, 2.089394, 2.086646, 2.065796, 2.014494, 1.941042, 1.86669, 
    1.80379, 1.752092, 1.723898, 1.735808, 1.789815, 1.891422, 2.057581, 
    2.243737, 2.406343, 2.549697, 2.67605, 2.756252, 2.801109, 2.829862, 
    2.5488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.112842, 
    1.050503, 0.3082654, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1768457, 
    2.312366, 3.587483, 3.58438, 3.563077, 3.541075, 3.515724, 3.476025, 
    3.419727, 2.866119, 1.652263, 1.622563, 1.434449, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1.607751, 3.201576, 3.190714, 3.175649, 0.3171446, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.7988859, 0.6166812, 0, 0.5984507, 1.607875, 
    1.656332, 1.631734, 1.615183, 1.581634, 1.545687, 1.515491, 1.483895, 
    1.44335, 1.392205, 1.33401, 1.277916, 1.227972, 1.185674, 1.152275, 
    1.124123, 1.102171, 1.092618, 1.100013, 1.119309, 1.145406, 1.167405, 
    1.175755, 1.180956, 1.184908, 1.187309, 1.18801, 1.186961, 1.184862, 
    1.180962, 1.176263, 1.171213, 1.164514, 1.157515, 1.151765, 1.146716, 
    1.142067, 1.137967, 1.134268, 1.130918, 1.12697, 1.122771, 1.118772, 
    1.113024, 1.105875, 1.096775, 1.087776, 1.079127, 1.069077, 1.059276, 
    1.050524, 1.042473, 1.035521, 1.029919,
  1.015007, 1.016757, 1.018905, 1.019204, 1.016754, 1.010804, 0.9986519, 
    0.9805506, 0.9592496, 0.9347991, 0.908749, 0.8864983, 0.8692478, 
    0.8544468, 0.8443963, 0.8415947, 0.8454947, 0.8542935, 0.8675922, 
    0.8819935, 0.8932461, 0.9023986, 0.9108518, 0.9166063, 0.9180106, 
    0.9145136, 0.9064667, 0.8986185, 0.8995168, 0.9116125, 0.9320571, 
    0.9544024, 0.9739982, 0.988694, 1.00094, 1.004738, 0.9979885, 0.9793425, 
    0.9489983, 0.9177539, 0.8927593, 0.8761646, 0.8707197, 0.8768755, 
    0.8885291, 0.9022827, 0.9184871, 0.9409928, 0.9707981, 1.010403, 
    1.069911, 1.150269, 1.248325, 1.374029, 1.522881, 1.680227, 1.81557, 
    1.947418, 2.089717, 1.876053, 0.5740101, 0, 0, 0, 0, 0, 1.250878, 
    1.335009, 1.291034, 1.254411, 1.223855, 1.189153, 1.155499, 0.7386001, 
    0.5701431, 0.74404, 1.17348, 1.245906, 0.7110237, 0.6804475, 0.7152587, 
    0.7887301, 0.915415, 1.657856, 1.697908, 1.723622, 1.749342, 1.788256, 
    1.823466, 1.844324, 1.86113, 1.880335, 1.89674, 1.907545, 1.915504, 
    1.911564, 1.905274, 1.905282, 1.924538, 1.948443, 1.968547, 1.985851, 
    2.000803, 2.011506, 2.018056, 2.021807, 2.023557, 2.025007, 2.027056, 
    2.029806, 2.031356, 2.027556, 2.005807, 1.957105, 1.887001, 1.815149, 
    1.753547, 1.700347, 1.665702, 1.66761, 1.712069, 1.804128, 1.958689, 
    2.13495, 2.290357, 2.427563, 2.548769, 2.625124, 2.661381, 2.681543, 
    2.541906, 0.8965167, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4339336, 1.17979, 0.8694, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5392991, 2.70832, 3.608129, 3.587531, 3.56703, 3.543228, 3.503677, 
    3.445779, 2.384187, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1611336, 
    1.610885, 1.608831, 1.605726, 0.1604824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.7679014, 0.8349193, 1.23397, 1.633735, 1.600533, 1.563083, 
    1.149406, 1.265741, 1.447443, 1.390847, 1.328, 1.266902, 1.210258, 
    1.165011, 1.13151, 1.105009, 1.086306, 1.081801, 1.093997, 1.118092, 
    1.148189, 1.171388, 1.179238, 1.18289, 1.184941, 1.185843, 1.185244, 
    1.183595, 1.180396, 1.175796, 1.170496, 1.164498, 1.156948, 1.148849, 
    1.1425, 1.136851, 1.131551, 1.126802, 1.122003, 1.117554, 1.112005, 
    1.106307, 1.100758, 1.093459, 1.084412, 1.073963, 1.064014, 1.054765, 
    1.044665, 1.036064, 1.028763, 1.022162, 1.017061, 1.013859,
  1.008006, 1.010106, 1.012905, 1.013705, 1.011505, 1.006155, 0.9951546, 
    0.9783534, 0.9582523, 0.9346512, 0.9093, 0.8879991, 0.8712487, 0.8579968, 
    0.8489455, 0.8472451, 0.8519935, 0.8619926, 0.8759426, 0.8887444, 
    0.8967477, 0.902651, 0.9068055, 0.9075601, 0.9045139, 0.8972677, 
    0.8860703, 0.8766213, 0.8795195, 0.8967643, 0.9230093, 0.9506044, 0.975, 
    0.9944956, 1.010892, 1.017688, 1.011737, 0.9903874, 0.9544418, 0.9168974, 
    0.8867514, 0.8653547, 0.8551083, 0.8559619, 0.8640148, 0.8745171, 
    0.8863705, 0.9031252, 0.926781, 0.9595382, 1.008849, 1.077861, 1.167071, 
    1.285331, 1.42869, 1.343394, 1.320594, 1.859542, 1.898335, 0.7538938, 0, 
    0, 0, 0, 0, 0, 1.184241, 1.291868, 1.269754, 1.247301, 1.220901, 
    1.187899, 1.157996, 1.141391, 1.146792, 1.150045, 1.195481, 1.301443, 
    0.7909722, 0.7805017, 0.8302095, 1.445535, 1.744769, 1.780771, 1.815379, 
    1.819903, 1.815987, 1.833912, 1.85348, 1.863242, 1.8722, 1.885156, 
    1.896761, 1.901716, 1.900922, 1.886681, 1.871786, 1.864243, 1.876549, 
    1.894255, 1.909809, 1.923263, 1.935316, 1.943717, 1.949318, 1.952469, 
    1.954118, 1.956018, 1.958068, 1.961518, 1.963318, 1.958619, 1.936568, 
    1.890716, 1.824961, 1.757056, 1.698553, 1.645652, 1.607453, 1.601859, 
    1.636817, 1.717628, 1.858143, 2.020407, 2.165868, 2.294178, 2.407337, 
    2.476345, 2.504402, 2.513211, 2.501873, 1.730173, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8694, 1.180015, 0.4355051, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5422937, 2.723067, 3.624492, 3.601344, 
    3.582642, 3.561738, 3.524036, 3.294403, 1.198165, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.413264, 0.8226709, 0.8865923, 1.584877, 0.782988, 
    0.5228165, 1.387219, 1.401583, 1.335985, 1.273186, 1.213236, 1.16454, 
    1.129992, 1.104192, 1.08844, 1.088986, 1.105732, 1.134029, 1.167975, 
    1.192224, 1.199225, 1.201676, 1.202377, 1.201678, 1.200228, 1.197729, 
    1.19388, 1.18863, 1.182981, 1.17628, 1.168331, 1.159032, 1.151733, 
    1.145483, 1.139534, 1.134135, 1.128485, 1.122486, 1.115438, 1.10769, 
    1.099993, 1.090895, 1.079397, 1.0665, 1.055002, 1.044204, 1.033206, 
    1.024557, 1.017507, 1.011857, 1.007606, 1.005506,
  1.002006, 1.003757, 1.006407, 1.007207, 1.005007, 1.000007, 0.9897059, 
    0.9741545, 0.9552534, 0.9328522, 0.908801, 0.8887994, 0.8732476, 
    0.8615464, 0.8543442, 0.8535429, 0.8594922, 0.8699922, 0.8833433, 
    0.893846, 0.8982495, 0.9002037, 0.8993087, 0.8950137, 0.887768, 
    0.8770208, 0.8631732, 0.8529237, 0.8580214, 0.880267, 0.9125106, 
    0.9456549, 0.9747505, 0.9992953, 1.019941, 1.031086, 1.027733, 1.006183, 
    0.9667847, 0.9239889, 0.8902417, 0.8655946, 0.8525962, 0.8506976, 0.856, 
    0.8644516, 0.873254, 0.8855577, 0.9037622, 0.9282707, 0.9661814, 
    1.021695, 1.098558, 1.204822, 1.266821, 0.7521783, 1.214069, 1.750815, 
    0.9599272, 0, 0, 0, 0, 0, 0, 0, 1.158507, 1.278157, 1.264256, 1.243706, 
    1.217955, 1.185855, 1.159002, 1.150692, 1.157688, 1.167122, 1.254156, 
    1.40945, 1.554007, 1.67678, 1.783017, 1.872813, 1.931774, 1.955296, 
    1.962342, 1.920057, 1.868913, 1.853102, 1.852274, 1.848986, 1.850093, 
    1.860691, 1.871538, 1.875036, 1.86844, 1.847344, 1.826799, 1.812905, 
    1.818611, 1.830417, 1.841321, 1.851174, 1.859977, 1.866779, 1.871081, 
    1.873631, 1.875581, 1.877531, 1.87983, 1.88353, 1.88573, 1.88033, 
    1.858081, 1.814829, 1.754423, 1.691768, 1.637064, 1.586211, 1.547112, 
    1.535567, 1.562075, 1.631635, 1.757099, 1.903614, 2.036627, 2.154238, 
    2.257797, 2.317856, 2.33966, 2.341514, 2.32082, 1.920451, 0.5329626, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3098968, 1.055338, 0.6219651, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7641626, 0.6934003, 0, 0, 1.467843, 
    2.287513, 3.625266, 3.621564, 3.598512, 3.583357, 3.567501, 3.533446, 
    1.744148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.0804059, 
    1.043428, 0.8009776, 0, 1.342312, 1.43111, 1.363961, 1.300661, 1.240711, 
    1.186818, 1.148473, 1.122024, 1.109071, 1.114964, 1.137208, 1.169254, 
    1.205852, 1.231201, 1.23795, 1.24015, 1.239352, 1.236406, 1.231961, 
    1.227164, 1.222865, 1.217615, 1.211964, 1.205264, 1.196865, 1.187364, 
    1.179215, 1.172465, 1.165965, 1.159467, 1.153218, 1.145919, 1.13737, 
    1.127422, 1.116975, 1.105128, 1.090382, 1.074235, 1.059489, 1.045793, 
    1.032246, 1.021599, 1.01325, 1.007002, 1.002104, 0.9995048,
  0.9955071, 0.9969072, 0.9993572, 0.9997082, 0.9975081, 0.9925081, 
    0.9832071, 0.9689558, 0.9510051, 0.9299037, 0.907302, 0.8887507, 
    0.874999, 0.8650966, 0.8598448, 0.8606929, 0.8672424, 0.8776426, 
    0.8897939, 0.8979458, 0.8985, 0.8959049, 0.8898101, 0.8804651, 0.8692688, 
    0.8552724, 0.8392245, 0.8283751, 0.8360224, 0.8625682, 0.9005132, 
    0.9393576, 0.973502, 1.003097, 1.028941, 1.045136, 1.044983, 1.024182, 
    0.9837316, 0.9388813, 0.9027332, 0.8763837, 0.8620847, 0.8588858, 
    0.8632352, 0.8707355, 0.8776867, 0.8866896, 0.8989969, 0.9151549, 
    0.9410183, 0.9819338, 1.0438, 1.135416, 1.116425, 0.4372839, 1.509364, 
    1.072612, 0.08632529, 0, 0, 0, 0, 0, 0, 0, 0.6418461, 1.269161, 1.255511, 
    1.234862, 1.208813, 1.175217, 1.149018, 1.146268, 1.156066, 1.185692, 
    1.355143, 1.584102, 1.786478, 1.617452, 1.519532, 2.153327, 2.197346, 
    2.192082, 2.146291, 2.030872, 1.915893, 1.852349, 1.824282, 1.806, 
    1.799658, 1.810659, 1.823558, 1.829106, 1.820506, 1.796308, 1.771312, 
    1.752266, 1.751672, 1.757728, 1.764082, 1.770437, 1.77604, 1.780493, 
    1.783594, 1.785644, 1.787595, 1.789694, 1.792594, 1.796543, 1.799193, 
    1.793693, 1.771592, 1.730938, 1.675484, 1.618478, 1.568073, 1.52047, 
    1.481419, 1.465772, 1.484579, 1.544688, 1.65705, 1.789163, 1.909625, 
    2.017135, 2.111294, 2.163601, 2.182652, 2.182102, 2.158252, 2.103602, 
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    2.903677, 3.462013, 2.698872, 1.810777, 1.799905, 1.793442, 1.787129, 
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    0.2442459, 0.8297149, 0.8320037, 1.485349, 1.494812, 1.425416, 1.360918, 
    1.294931, 1.231493, 1.1872, 1.159002, 1.14875, 1.160445, 1.18844, 
    1.224486, 1.262784, 1.288834, 1.295684, 1.296587, 1.292691, 1.284399, 
    1.274454, 1.265908, 1.259961, 1.254911, 1.24996, 1.24361, 1.235358, 
    1.225859, 1.217709, 1.210609, 1.20346, 1.19616, 1.188961, 1.180712, 
    1.170314, 1.157818, 1.14472, 1.129524, 1.110828, 1.090183, 1.071237, 
    1.053692, 1.036745, 1.022999, 1.012251, 1.004303, 0.997655, 0.9940061,
  0.9885074, 0.9895582, 0.9913595, 0.9910598, 0.9885107, 0.9838598, 
    0.9752097, 0.9619089, 0.9457558, 0.9264535, 0.9053519, 0.8886994, 
    0.8769968, 0.869145, 0.8658426, 0.8683411, 0.875241, 0.8849422, 
    0.8957437, 0.9018461, 0.8992484, 0.892103, 0.8808085, 0.8664141, 
    0.8510191, 0.8335227, 0.8157245, 0.8043249, 0.8142729, 0.8438209, 
    0.886017, 0.9297125, 0.9690074, 1.003752, 1.035396, 1.05669, 1.059986, 
    1.040884, 1.00228, 0.9595256, 0.9237229, 0.8977216, 0.8831711, 0.8803691, 
    0.8852186, 0.8928681, 0.8999664, 0.9060197, 0.9109777, 0.9183878, 
    0.9313514, 0.9560696, 1.000789, 1.075608, 0.6546066, 0.8287296, 1.053103, 
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    1.223512, 1.196412, 1.162859, 1.138004, 1.139047, 1.153438, 1.213549, 
    1.492819, 1.820404, 1.984114, 0.7235866, 1.240524, 2.518511, 2.537444, 
    2.488899, 2.377975, 2.179218, 1.988006, 1.861083, 1.794779, 1.754358, 
    1.736774, 1.745976, 1.760823, 1.769019, 1.761018, 1.736367, 1.708569, 
    1.685324, 1.67873, 1.679036, 1.680592, 1.682497, 1.684551, 1.686054, 
    1.687606, 1.689157, 1.690658, 1.692709, 1.695858, 1.700407, 1.703158, 
    1.697358, 1.676357, 1.638903, 1.588597, 1.53769, 1.492335, 1.449079, 
    1.411227, 1.393229, 1.407331, 1.460637, 1.561998, 1.68196, 1.792369, 
    1.891576, 1.978182, 2.02838, 2.048627, 2.049273, 2.027818, 1.978158, 
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    0.9690078, 0.817655, 0.06223216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3442658, 
    0.7234571, 1.592802, 1.640735, 0.562695, 0.9754696, 1.575302, 1.719051, 
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    1.299365, 1.247923, 1.216428, 1.206429, 1.221478, 1.253424, 1.293071, 
    1.33277, 1.35887, 1.363424, 1.359931, 1.350089, 1.334896, 1.319203, 
    1.305958, 1.297162, 1.292062, 1.287961, 1.283158, 1.277154, 1.267853, 
    1.259704, 1.252254, 1.244953, 1.237354, 1.228955, 1.219507, 1.206759, 
    1.191362, 1.175715, 1.156919, 1.133725, 1.107631, 1.084485, 1.06239, 
    1.041695, 1.024399, 1.011001, 1.000754, 0.9926554, 0.9878567,
  0.9810089, 0.9813597, 0.9819111, 0.9809123, 0.9777628, 0.9732134, 
    0.9652622, 0.9535093, 0.9397573, 0.9232036, 0.9048489, 0.8909457, 
    0.8819922, 0.8765388, 0.8752866, 0.8789855, 0.8857361, 0.8942375, 
    0.903639, 0.9073918, 0.9024944, 0.8912987, 0.8748044, 0.8552102, 
    0.8355144, 0.814768, 0.795719, 0.7842686, 0.7957672, 0.8268659, 
    0.8715644, 0.9187612, 0.9622573, 1.001902, 1.038797, 1.064094, 1.070491, 
    1.054138, 1.019383, 0.9817261, 0.9504688, 0.9276132, 0.9151092, 
    0.9138079, 0.9199555, 0.928554, 0.9380504, 0.9418021, 0.9412061, 
    0.9409624, 0.9415259, 0.9490449, 0.729813, 0.5253153, 0.1698788, 
    1.011107, 0.3264742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6323263, 1.248564, 
    1.232516, 1.210167, 1.182169, 1.151217, 1.132009, 1.141149, 1.164787, 
    1.25082, 1.632878, 2.077887, 2.195173, 0, 1.456257, 2.937378, 2.921021, 
    2.817586, 2.645193, 2.36817, 2.092466, 1.8915, 1.773267, 1.698763, 
    1.662189, 1.666797, 1.684095, 1.696489, 1.692082, 1.670526, 1.642076, 
    1.615728, 1.604681, 1.599687, 1.596342, 1.593696, 1.59215, 1.591452, 
    1.591353, 1.592303, 1.593603, 1.595203, 1.598354, 1.602555, 1.603709, 
    1.59686, 1.576361, 1.541509, 1.496603, 1.451547, 1.411342, 1.372188, 
    1.337035, 1.319082, 1.331833, 1.381685, 1.474991, 1.586148, 1.689605, 
    1.783608, 1.86646, 1.921552, 1.946096, 1.951389, 1.936031, 1.896419, 
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    0.41307, 1.015425, 0.1961852, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2065398, 
    1.034233, 1.45, 0.9068834, 0.6370131, 0, 0.9797233, 0.1399605, 0, 0, 0, 
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    0.4517521, 1.557188, 1.784944, 1.706151, 1.629606, 1.557612, 1.480468, 
    1.392133, 1.331394, 1.294452, 1.281507, 1.29576, 1.328662, 1.369961, 
    1.409662, 1.433318, 1.432675, 1.421535, 1.402297, 1.379906, 1.358462, 
    1.340168, 1.32882, 1.323869, 1.321716, 1.320261, 1.318107, 1.311502, 
    1.303701, 1.296599, 1.289849, 1.281849, 1.272949, 1.26195, 1.247202, 
    1.229105, 1.210209, 1.187813, 1.159669, 1.127925, 1.099732, 1.072937, 
    1.047692, 1.026297, 1.0105, 0.9975027, 0.9876555, 0.9815571,
  0.9725104, 0.9721612, 0.9714128, 0.9694139, 0.966014, 0.9612139, 0.9543127, 
    0.9446109, 0.9337564, 0.9208019, 0.9067965, 0.8966911, 0.8907378, 
    0.8882844, 0.8896306, 0.8939803, 0.9004803, 0.908031, 0.9155837, 
    0.9167868, 0.9094896, 0.8951924, 0.8743464, 0.8509492, 0.8287506, 
    0.8062012, 0.7862522, 0.7749023, 0.7872518, 0.818852, 0.8641023, 
    0.9125527, 0.9577529, 1.000152, 1.04025, 1.068197, 1.077244, 1.06424, 
    1.034483, 1.003674, 0.9802135, 0.9637545, 0.9564965, 0.9593382, 
    0.9694316, 0.981974, 0.9942214, 0.9966726, 0.9934246, 0.988429, 
    0.9789383, 0.9685599, 0.7276648, 0.1477065, 0.4590924, 0.3922078, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.06244454, 0.8055159, 1.220761, 1.200554, 
    1.175147, 1.14799, 1.136231, 1.155618, 1.189207, 1.291237, 1.736138, 
    2.292976, 1.300873, 0, 1.661777, 3.335469, 3.281411, 3.133048, 2.918686, 
    2.595463, 2.234411, 1.947921, 1.765001, 1.644011, 1.5793, 1.573865, 
    1.591367, 1.608511, 1.611202, 1.59754, 1.573081, 1.546529, 1.533031, 
    1.523785, 1.516839, 1.510592, 1.506644, 1.504296, 1.503596, 1.503947, 
    1.505147, 1.507047, 1.509099, 1.510803, 1.508358, 1.499411, 1.478362, 
    1.445759, 1.405154, 1.365099, 1.328846, 1.293291, 1.262036, 1.247231, 
    1.26008, 1.308631, 1.397934, 1.504088, 1.60384, 1.695891, 1.778389, 
    1.838836, 1.870077, 1.882068, 1.87371, 1.8439, 1.804788, 1.756921, 
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    0, 0, 0.6700509, 1.83794, 1.854511, 1.771571, 1.694577, 1.604151, 
    1.498326, 1.425392, 1.379056, 1.365852, 1.376007, 1.407659, 1.449458, 
    1.486962, 1.505768, 1.498675, 1.477588, 1.447101, 1.41691, 1.389468, 
    1.366573, 1.353075, 1.349473, 1.350469, 1.353214, 1.355658, 1.353154, 
    1.346702, 1.341299, 1.335847, 1.328994, 1.320443, 1.308743, 1.292195, 
    1.271847, 1.24995, 1.223505, 1.190162, 1.152918, 1.118725, 1.086632, 
    1.056288, 1.030892, 1.011747, 0.9961004, 0.9837035, 0.9756065,
  0.9759807, 0.9749315, 0.972933, 0.9702334, 0.9667337, 0.9618339, 0.955833, 
    0.9481799, 0.9407264, 0.9322203, 0.9232139, 0.917409, 0.9144553, 
    0.9146523, 0.9185003, 0.923948, 0.9299492, 0.9359521, 0.9410552, 
    0.9396584, 0.9302107, 0.9141122, 0.8908138, 0.8651165, 0.8414686, 
    0.8178206, 0.7967722, 0.7844245, 0.7952288, 0.8245841, 0.8670903, 
    0.9129462, 0.9565, 0.9983029, 1.039253, 1.068802, 1.080499, 1.071543, 
    1.049033, 1.026921, 1.012709, 1.004798, 1.005886, 1.01493, 1.028429, 
    1.045077, 1.059125, 1.061374, 1.056676, 1.047781, 1.031338, 1.006201, 
    0.7425768, 0.4972124, 0.4548063, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1837433, 0.6094705, 0.6008497, 0.5897229, 0.5775936, 0.5736341, 
    1.012132, 1.232091, 1.354961, 1.861563, 2.507465, 0.2668693, 0.5725119, 
    2.813691, 3.718323, 3.624126, 3.426607, 3.164982, 2.80604, 2.384335, 
    2.028538, 1.771982, 1.593807, 1.491109, 1.469184, 1.484138, 1.504685, 
    1.515874, 1.51341, 1.498845, 1.478682, 1.465927, 1.454528, 1.444582, 
    1.436034, 1.430137, 1.426288, 1.425339, 1.425089, 1.42614, 1.427741, 
    1.427594, 1.425349, 1.418854, 1.406609, 1.385109, 1.355205, 1.319598, 
    1.283993, 1.251338, 1.220432, 1.194025, 1.183171, 1.197318, 1.245419, 
    1.330975, 1.43318, 1.530334, 1.621885, 1.705034, 1.769279, 1.80807, 
    1.826912, 1.826252, 1.805441, 1.777028, 1.742662, 1.620937, 0.8429064, 
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    1.917316, 2.03925, 1.949257, 1.86452, 1.754192, 1.628065, 1.53784, 
    1.474217, 1.454837, 1.45735, 1.48416, 1.521123, 1.552882, 1.565591, 
    1.552697, 1.524053, 1.485608, 1.447767, 1.413975, 1.38683, 1.37228, 
    1.370727, 1.375223, 1.382168, 1.389711, 1.392104, 1.387701, 1.384349, 
    1.381346, 1.376942, 1.36994, 1.359087, 1.341687, 1.319739, 1.295193, 
    1.265046, 1.227101, 1.184557, 1.145461, 1.108466, 1.073421, 1.045124, 
    1.023225, 1.005876, 0.9917269, 0.9821274,
  1.001955, 1.000206, 0.9970071, 0.9942067, 0.9912053, 0.987502, 0.9833982, 
    0.9788935, 0.9744395, 0.9699857, 0.9660796, 0.9642745, 0.9644206, 
    0.9670177, 0.9729146, 0.9794143, 0.9849143, 0.9893653, 0.9920181, 
    0.988171, 0.9771726, 0.959874, 0.9356746, 0.9081265, 0.8826788, 
    0.8568821, 0.8327882, 0.8171939, 0.8227028, 0.8453643, 0.8796285, 
    0.9179413, 0.9562506, 0.9945564, 1.03436, 1.064908, 1.079504, 1.075547, 
    1.062135, 1.05097, 1.046956, 1.049242, 1.060229, 1.07557, 1.090418, 
    1.109464, 1.125112, 1.12836, 1.123409, 1.111811, 1.089917, 0.8961794, 
    0.2523842, 0.6996491, 0.09994987, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.1401522, 1.209743, 4.08048, 4.113451, 3.974758, 3.71129, 3.38672, 
    2.979182, 2.517386, 2.123478, 1.806432, 1.566758, 1.417821, 1.369711, 
    1.37538, 1.396083, 1.415124, 1.425058, 1.423092, 1.414477, 1.40622, 
    1.39442, 1.382321, 1.371974, 1.363777, 1.358978, 1.357079, 1.356579, 
    1.35753, 1.357781, 1.354835, 1.34839, 1.337397, 1.3218, 1.300101, 
    1.273845, 1.244088, 1.21403, 1.185824, 1.160416, 1.139858, 1.132903, 
    1.1493, 1.196153, 1.275961, 1.371971, 1.465326, 1.554831, 1.638181, 
    1.705778, 1.750821, 1.775914, 1.783354, 1.772341, 1.754278, 1.732363, 
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    2.044935, 1.91955, 1.77597, 1.664348, 1.577229, 1.537011, 1.533113, 
    1.555664, 1.583125, 1.604191, 1.60596, 1.586969, 1.553276, 1.509733, 
    1.467883, 1.429986, 1.400487, 1.386436, 1.387482, 1.395477, 1.406971, 
    1.420263, 1.428356, 1.426703, 1.426098, 1.426742, 1.425338, 1.421683, 
    1.413478, 1.397974, 1.375274, 1.348675, 1.316477, 1.275579, 1.229631, 
    1.187185, 1.146839, 1.108392, 1.077147, 1.053699, 1.035151, 1.019753, 
    1.009455,
  1.045932, 1.044181, 1.044271, 1.04925, 1.054879, 1.061556, 1.069328, 
    1.075306, 1.07455, 1.073445, 1.073142, 1.071198, 1.068809, 1.066774, 
    1.065745, 1.063917, 1.064879, 1.06863, 1.072524, 1.071214, 1.062856, 
    1.048895, 1.027737, 0.9990878, 0.9713414, 0.9418476, 0.9118569, 
    0.8857784, 0.8786524, 0.886579, 0.903809, 0.9281822, 0.9579948, 
    0.9902546, 1.027059, 1.05801, 1.076005, 1.078246, 1.074683, 1.074819, 
    1.082204, 1.095539, 1.116875, 1.137521, 1.154417, 1.176214, 1.19456, 
    1.199806, 1.196403, 1.184253, 1.158356, 0.7870922, 0, 0.3509176, 
    0.05013109, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.340819, 4.510912, 4.516762, 4.331026, 4.004007, 3.623919, 
    3.174514, 2.67371, 2.247901, 1.889104, 1.591576, 1.393041, 1.308195, 
    1.29308, 1.305599, 1.326553, 1.346194, 1.356828, 1.360113, 1.357006, 
    1.345605, 1.330063, 1.312779, 1.298092, 1.290549, 1.2876, 1.2871, 1.288, 
    1.2872, 1.281354, 1.273751, 1.262994, 1.248288, 1.228084, 1.205779, 
    1.181074, 1.156069, 1.133062, 1.114252, 1.100243, 1.098286, 1.116783, 
    1.161187, 1.234346, 1.322456, 1.410315, 1.495721, 1.577376, 1.646524, 
    1.69582, 1.726912, 1.741603, 1.74074, 1.732777, 1.722712, 1.717792, 
    1.724524, 0.8652337, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0.9131995, 1.436812, 2.616005, 1.947814, 0.3859854, 0, 0, 0, 
    0.7767082, 1.06904, 1.010843, 0.954491, 0.9225749, 0.893252, 0.6094978, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8871198, 
    2.402016, 2.419619, 2.316528, 2.210988, 2.071111, 1.911931, 1.33702, 
    1.406925, 1.617482, 1.610287, 1.630394, 1.648757, 1.655227, 1.643544, 
    1.613713, 1.568834, 1.518245, 1.475896, 1.436996, 1.407545, 1.395541, 
    1.399887, 1.411731, 1.427775, 1.447267, 1.461259, 1.463204, 1.466897, 
    1.47274, 1.476829, 1.479419, 1.477457, 1.466251, 1.444747, 1.417897, 
    1.385096, 1.342598, 1.295299, 1.250402, 1.205859, 1.162468, 1.127673, 
    1.102675, 1.082576, 1.065279, 1.053631,
  1.106905, 1.107948, 1.118081, 1.138759, 1.161335, 1.186709, 1.216378, 
    1.243693, 1.257459, 1.27227, 1.288828, 1.301781, 1.313531, 1.326324, 
    1.335375, 1.336144, 1.336882, 1.339734, 1.341297, 1.334322, 1.316956, 
    1.289454, 1.24747, 1.19633, 1.147434, 1.099578, 1.05082, 1.001162, 
    0.9703514, 0.9524939, 0.943634, 0.9475656, 0.9652357, 0.9898962, 
    1.022254, 1.052455, 1.073751, 1.083141, 1.089228, 1.099864, 1.117702, 
    1.141488, 1.172825, 1.19727, 1.216915, 1.241461, 1.263506, 1.27235, 
    1.273391, 1.263934, 1.173855, 0.4057032, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7069222, 3.675149, 
    4.929534, 4.693754, 4.313066, 3.898096, 3.419778, 2.890758, 2.440631, 
    2.048218, 1.701676, 1.455139, 1.326702, 1.280202, 1.273584, 1.285006, 
    1.304316, 1.320518, 1.328322, 1.325078, 1.307347, 1.281068, 1.250588, 
    1.223407, 1.208471, 1.203875, 1.203474, 1.204524, 1.204471, 1.20136, 
    1.197901, 1.193442, 1.184781, 1.170071, 1.151515, 1.130062, 1.108458, 
    1.090053, 1.077596, 1.071184, 1.075824, 1.09677, 1.139072, 1.206229, 
    1.286789, 1.368297, 1.448754, 1.52666, 1.595661, 1.647309, 1.683204, 
    1.704246, 1.712136, 1.714272, 1.714311, 1.720302, 1.737043, 1.311298, 
    0.2628314, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6569539, 2.234797, 2.631363, 2.623674, 2.598733, 0.7754959, 0.1217172, 
    1.208945, 1.171796, 1.902606, 2.142453, 2.029942, 1.924222, 1.862615, 
    1.803267, 1.488522, 0.4293262, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 2.439526, 2.597356, 2.48577, 2.367195, 2.212511, 
    2.035938, 0.9731784, 0.5952185, 1.602016, 1.677135, 1.692192, 1.701304, 
    1.69402, 1.671183, 1.631241, 1.575897, 1.520898, 1.478048, 1.439746, 
    1.411245, 1.401593, 1.409438, 1.425482, 1.446425, 1.472216, 1.491959, 
    1.498951, 1.508392, 1.52138, 1.534566, 1.546651, 1.554886, 1.551022, 
    1.533166, 1.507364, 1.474215, 1.430566, 1.381819, 1.333875, 1.283832, 
    1.233641, 1.194548, 1.167402, 1.145854, 1.127255, 1.114306,
  1.186374, 1.191968, 1.214251, 1.250928, 1.291054, 1.335377, 1.388493, 
    1.441955, 1.482415, 1.527071, 1.577519, 1.628161, 1.6797, 1.734739, 
    1.782531, 1.809438, 1.82102, 1.823868, 1.815483, 1.787865, 1.744105, 
    1.680756, 1.59242, 1.494738, 1.404848, 1.320905, 1.236613, 1.149924, 
    1.085079, 1.034229, 0.993926, 0.9721161, 0.9729929, 0.9882088, 1.015166, 
    1.046013, 1.073749, 1.092035, 1.107272, 1.127459, 1.153449, 1.18539, 
    1.223185, 1.251829, 1.274924, 1.301871, 1.328514, 1.342854, 1.349149, 
    1.341451, 0.6467899, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.308196, 4.502205, 5.057136, 
    4.63125, 4.203803, 3.716146, 3.179238, 2.72323, 2.323513, 1.953917, 
    1.673099, 1.505843, 1.420153, 1.379267, 1.36028, 1.356934, 1.357626, 
    1.347124, 1.321132, 1.276539, 1.228329, 1.181854, 1.139676, 1.114441, 
    1.107144, 1.106845, 1.11303, 1.120362, 1.126099, 1.129389, 1.132378, 
    1.131367, 1.123309, 1.108604, 1.089151, 1.070049, 1.054545, 1.047089, 
    1.048628, 1.060817, 1.086259, 1.128856, 1.19206, 1.266118, 1.341527, 
    1.416585, 1.491139, 1.558292, 1.61129, 1.650636, 1.675882, 1.690224, 
    1.701014, 1.709004, 1.721645, 1.742791, 1.757489, 1.140457, 0.08745149, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8767087, 1.28809, 1.319002, 
    1.999063, 2.673556, 2.680649, 2.666805, 2.627436, 1.676245, 1.371297, 
    2.426744, 2.349501, 2.246359, 2.138657, 2.033648, 1.940483, 1.881283, 
    1.821433, 1.762931, 0.8644901, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.068314, 2.748905, 2.770613, 2.645288, 1.622979, 
    2.209356, 1.828359, 0.5011661, 0, 0.7727334, 1.112473, 1.727211, 
    1.729767, 1.713127, 1.682186, 1.637741, 1.579643, 1.524343, 1.481691, 
    1.443992, 1.41679, 1.409186, 1.420332, 1.440227, 1.465721, 1.496766, 
    1.522456, 1.536196, 1.554131, 1.577463, 1.602545, 1.626626, 1.64616, 
    1.652146, 1.639239, 1.614837, 1.580988, 1.53599, 1.485044, 1.433348, 
    1.378155, 1.321714, 1.27777, 1.248123, 1.225125, 1.205677, 1.191778,
  1.283345, 1.293139, 1.326474, 1.378303, 1.434781, 1.498252, 1.575167, 
    1.655976, 1.725881, 1.802783, 1.890975, 1.986055, 2.081888, 2.180523, 
    2.26991, 2.328462, 2.355435, 2.360032, 2.341646, 2.292177, 2.219272, 
    2.119774, 1.987588, 1.842705, 1.708523, 1.58169, 1.452463, 1.319735, 
    1.212801, 1.124062, 1.048267, 0.9969121, 0.9772449, 0.9799652, 1.001673, 
    1.035617, 1.073003, 1.103034, 1.127719, 1.15546, 1.187453, 1.224348, 
    1.265294, 1.297888, 1.324434, 1.353779, 1.385123, 1.189752, 0.6945381, 
    0.6902756, 0.06880189, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.937335, 2.886744, 4.94973, 
    4.530253, 4.060358, 3.546149, 3.108055, 2.731056, 2.379947, 2.092932, 
    1.901607, 1.774816, 1.680956, 1.602914, 1.540332, 1.490986, 1.429736, 
    1.348638, 1.252481, 1.168594, 1.099385, 1.04106, 1.007718, 1.004652, 
    1.010683, 1.029012, 1.049691, 1.065575, 1.076912, 1.088299, 1.094688, 
    1.090785, 1.077436, 1.058637, 1.040636, 1.027532, 1.024227, 1.033116, 
    1.052955, 1.084246, 1.129891, 1.19199, 1.262591, 1.332249, 1.402256, 
    1.473612, 1.538465, 1.591018, 1.632367, 1.660462, 1.678908, 1.694754, 
    1.708497, 1.726441, 1.750088, 1.765488, 1.761288, 0.8693516, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.778291, 2.622584, 2.692262, 2.727373, 
    2.748128, 2.762016, 2.739136, 2.672683, 2.589424, 2.512079, 2.429199, 
    2.34227, 2.235024, 2.130167, 2.03101, 1.945254, 1.88715, 1.8275, 1.7696, 
    1.290004, 0.2532026, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.801883, 2.660472, 3.034381, 2.906248, 2.767611, 1.725115, 2.297873, 
    1.898201, 1.013758, 0.2916391, 0, 0.261016, 0.873062, 0.8732625, 
    1.635802, 1.688097, 1.641997, 1.583995, 1.529393, 1.487841, 1.450739, 
    1.424837, 1.419235, 1.432932, 1.455729, 1.483776, 1.519469, 1.553205, 
    1.576687, 1.606468, 1.643545, 1.683471, 1.721101, 1.752432, 1.768667, 
    1.760012, 1.736062, 1.700566, 1.652972, 1.599276, 1.544331, 1.484836, 
    1.423292, 1.375945, 1.345345, 1.321397, 1.300698, 1.286248,
  1.393324, 1.406969, 1.450653, 1.516681, 1.589505, 1.671777, 1.772391, 
    1.881298, 1.981601, 2.091701, 2.220386, 2.362416, 2.503348, 2.645333, 
    2.777816, 2.869964, 2.914139, 2.921235, 2.892103, 2.822033, 2.719976, 
    2.586426, 2.412886, 2.223053, 2.044219, 1.872387, 1.694809, 1.512785, 
    1.359259, 1.225683, 1.110646, 1.027446, 0.9844832, 0.9716098, 0.9863232, 
    1.023569, 1.069508, 1.111591, 1.148668, 1.181861, 1.217457, 1.256905, 
    1.299902, 1.335649, 1.365194, 1.39754, 1.432784, 1.0181, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.260995, 3.34107, 4.870725, 4.450072, 3.986527, 3.58571, 
    3.243903, 2.934986, 2.675068, 2.470932, 2.303594, 2.146444, 1.98399, 
    1.833037, 1.706615, 1.571438, 1.413915, 1.24878, 1.115315, 1.012276, 
    0.9370519, 0.9043909, 0.9131222, 0.9330491, 0.9664748, 1.001503, 
    1.028286, 1.048074, 1.066666, 1.078111, 1.075261, 1.060514, 1.040567, 
    1.02192, 1.010768, 1.01186, 1.028098, 1.055736, 1.093476, 1.143119, 
    1.205818, 1.274173, 1.339479, 1.404437, 1.471195, 1.532702, 1.582757, 
    1.62336, 1.653509, 1.675153, 1.694248, 1.711593, 1.732939, 1.759384, 
    1.775731, 1.771431, 1.658072, 0.5970203, 0.370365, 0.6639652, 0.5665637, 
    0.3670751, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.807372, 2.677402, 2.764523, 
    2.791685, 2.811832, 2.834069, 2.802674, 2.702728, 2.597851, 2.520347, 
    2.428901, 2.328272, 2.220619, 2.119215, 2.024061, 1.942255, 1.886701, 
    1.8275, 1.7696, 1.7145, 0.5079, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.626943, 3.223072, 3.141049, 3.008496, 2.855875, 2.689949, 
    1.367399, 1.12282, 1.50811, 1.221749, 0.7938173, 0, 0, 0, 0.7773177, 
    1.093276, 1.234253, 1.337511, 1.52547, 1.487909, 1.454998, 1.431892, 
    1.428238, 1.443885, 1.468483, 1.49833, 1.539322, 1.583853, 1.62068, 
    1.665206, 1.719028, 1.775702, 1.82758, 1.871411, 1.897696, 1.892192, 
    1.866297, 1.826755, 1.775062, 1.718516, 1.66082, 1.597875, 1.533377, 
    1.485077, 1.454826, 1.430875, 1.409176, 1.393729,
  1.512803, 1.530297, 1.584381, 1.665057, 1.754232, 1.854952, 1.978667, 
    2.115623, 2.246075, 2.389124, 2.558212, 2.74614, 2.931569, 3.116301, 
    3.292183, 3.41813, 3.479601, 3.489995, 3.45006, 3.359194, 3.229687, 
    3.064486, 2.852595, 2.620309, 2.400172, 2.185986, 1.962058, 1.730735, 
    1.529212, 1.346939, 1.190405, 1.07336, 1.004454, 0.9729854, 0.9770054, 
    1.014409, 1.067498, 1.120232, 1.170713, 1.20716, 1.243711, 1.283413, 
    1.327013, 1.364612, 1.39621, 1.430957, 1.393693, 0.5189399, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.587966, 5.1529, 4.814397, 4.423415, 4.075518, 
    3.774945, 3.510425, 3.294904, 3.104895, 2.926964, 2.713089, 2.450805, 
    2.198573, 1.984518, 1.764859, 1.519406, 1.275387, 1.083035, 0.9382542, 
    0.8511646, 0.8281453, 0.8510697, 0.8869431, 0.9369158, 0.9872905, 
    1.024475, 1.050119, 1.071419, 1.082475, 1.076733, 1.058392, 1.03515, 
    1.014603, 1.004003, 1.009148, 1.032189, 1.068175, 1.112964, 1.166857, 
    1.230006, 1.294762, 1.355721, 1.41493, 1.47569, 1.531651, 1.577759, 
    1.615813, 1.646214, 1.67106, 1.693754, 1.713999, 1.738394, 1.767491, 
    1.785987, 1.782086, 1.752839, 1.199793, 0.3726777, 1.109807, 1.144774, 
    0.910297, 0.5519946, 0.5867839, 0.5639565, 0, 0, 0, 0, 0, 0, 1.811964, 
    2.701872, 2.814372, 2.841409, 2.865998, 2.89813, 2.867722, 2.749873, 
    2.637622, 2.548265, 2.436873, 2.320003, 2.2143, 2.1142, 1.726236, 
    0.9733258, 1.60036, 1.0101, 1.147179, 1.7145, 0.5079, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8253582, 2.798484, 3.232068, 
    3.103459, 2.93488, 1.798091, 0.1343245, 0, 0.9757619, 1.851784, 1.664222, 
    0.8424209, 0.8380847, 0.2517992, 0, 0.2476827, 0.4128045, 1.076635, 
    1.506191, 1.477374, 1.45226, 1.435198, 1.435091, 1.452189, 1.477987, 
    1.509386, 1.554481, 1.611611, 1.664683, 1.726853, 1.798973, 1.872945, 
    1.939322, 1.995553, 2.030939, 2.029082, 1.999538, 1.953899, 1.897208, 
    1.838062, 1.778564, 1.713814, 1.649013, 1.602507, 1.573554, 1.550203, 
    1.528004, 1.510707,
  1.64178, 1.663124, 1.727158, 1.822286, 1.927458, 2.046978, 2.192892, 
    2.356151, 2.515804, 2.690852, 2.899087, 3.132214, 3.361792, 3.588923, 
    3.807603, 3.967596, 4.047565, 4.062108, 4.012773, 3.900358, 3.743903, 
    3.547903, 3.30021, 3.027974, 2.770133, 2.517543, 2.250261, 1.971785, 
    1.724407, 1.497324, 1.300538, 1.148296, 1.050895, 0.9975841, 0.9875596, 
    1.021118, 1.078964, 1.139256, 1.196055, 1.231212, 1.265718, 1.303024, 
    1.345527, 1.38278, 1.41498, 1.450331, 1.337932, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.642259, 5.386843, 5.161131, 4.864956, 4.58917, 4.340972, 
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    2.22263, 2.211276,
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    0.7724705, 0.7573495, 0.7499334, 0.752423, 0.7680117, 0.7898077, 
    0.8165034, 0.8108079, 0.4563646, 0.4737854, 0.1444013, 0, 0.159204, 
    0.5316869, 0.5337512, 1.009037, 1.064921, 1.068769, 1.07297, 1.077468, 
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    0.8048286, 0.8207878, 0.8363926, 0.8545876, 0.8819714, 0.91846, 
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    0.5172648, 0.4826466, 0.4721907, 0.47789, 0.4982942, 0.5353984, 
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    1.482087, 1.58683, 1.671668, 1.727494, 1.750213, 1.743512, 1.7044, 
    1.641332, 1.57916, 1.514874, 1.369563, 0.4667678, 0, 0, 0.4702432, 
    0.639919, 0.9591819, 0.9449252, 0.9328162, 0.9199092, 0.9114127, 
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    1.300766, 1.272672, 1.246133, 1.219941, 1.191998, 1.150365,
  1.038656, 1.011351, 0.9576373, 0.9094111, 0.8683245, 0.8268903, 0.7859066, 
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    1.643893, 1.6562, 1.643991, 1.602272, 1.537901, 1.476071, 1.416327, 
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    1.237777, 1.208138, 1.179894, 1.150796, 1.106398,
  1.000128, 0.9731811, 0.9212322, 0.8767811, 0.8433615, 0.8120206, 0.7774575, 
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    1.173121, 1.144021, 1.115118, 1.069872,
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    0.4768952, 0.4332317, 0.3925673, 0.3653136, 0.3559185, 0.3541292, 
    0.3621546, 0.3831313, 0.4177666, 0.4764638, 0.557618, 0.6545721, 
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    1.365607, 1.340627, 1.302629, 1.246969, 1.19741, 1.157998, 1.13408, 
    1.123163, 1.114379, 1.104548, 1.084434, 1.058738, 1.046418, 1.043198, 
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    0.5673681, 0.5527995, 0.5389871, 0.5151934,
  0.9437345, 0.9335216, 0.914818, 0.9055743, 0.9056441, 0.917973, 0.8764951, 
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    1.170828, 1.1314, 1.097676, 1.074452, 1.068371, 1.074296, 1.083876, 
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  1.887279, 1.935588, 1.233017, 2.009939, 1.991918, 1.960235, 1.926771, 
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    1.245844, 1.156114, 1.077592, 1.036603, 1.034, 1.034, 1.034, 1.034, 
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    1.022689, 1.101099, 1.21844, 1.344937, 1.477035, 1.609782, 1.740106,
  1.771232, 1.817796, 1.094635, 1.897379, 1.887938, 1.866243, 1.841148, 
    1.816767, 1.792051, 1.770489, 1.747383, 1.728444, 1.715804, 1.707719, 
    1.70394, 1.706412, 1.715898, 1.732038, 1.754775, 1.778497, 1.798759, 
    1.817265, 1.835716, 1.852724, 1.866026, 1.876872, 1.873259, 1.865445, 
    1.850485, 1.796978, 1.694777, 1.588177, 1.491389, 1.399157, 1.303279, 
    1.218658, 1.140341, 1.071832, 1.036252, 1.034, 1.034, 1.034, 1.034, 
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    0.1530172, 0.5100572, 0.5100572, 0.5624515, 1.034, 1.034, 1.034, 
    1.033949, 1.033345, 1.032747, 1.031793, 1.030937, 1.029687, 1.02848, 
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    0.6009837, 0.6301837, 0.6655317, 0.6948304, 0.7258837, 0.7596186, 
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    0.9476282, 0.9629765, 0.9752326, 0.9885873, 1.004033, 1.022611, 1.041891, 
    1.059767, 1.078333, 1.09854, 1.121194, 1.147592, 1.180664, 1.229968, 
    1.304175, 1.397852, 1.511139, 1.670741, 1.861932, 2.051159, 2.232342, 
    2.406765, 2.553968, 2.629253, 2.660765, 2.64544, 2.579823, 2.518359, 
    2.459694, 2.396631, 2.322524, 2.262884, 2.213398, 2.180128, 2.159014, 
    2.12529, 2.085621, 2.03784, 1.987861, 1.954676, 1.922583, 1.850621, 
    1.740681, 1.641111, 1.013298, 0.1439069, 0.8537623, 1.214854, 1.105955, 
    0.9995371, 0.9671535, 0.9589565, 0.9563221, 0.9636328, 0.9743942, 
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    0.9657477, 0.9716544, 0.9950705, 1.064724, 1.168116, 1.280156, 1.397797, 
    1.516433, 1.635309,
  1.670164, 1.712559, 1.771461, 1.789171, 1.78351, 1.766294, 1.745629, 
    1.723728, 1.699981, 1.67869, 1.657371, 1.638754, 1.625946, 1.616647, 
    1.611001, 1.610766, 1.616974, 1.628103, 1.644998, 1.665125, 1.683589, 
    1.700307, 1.719249, 1.737078, 1.751806, 1.764089, 1.764249, 1.760505, 
    1.749164, 1.704892, 1.617981, 1.524945, 1.439821, 1.358208, 1.273087, 
    1.197878, 1.128571, 1.067675, 1.036001, 1.034, 1.034, 1.034, 1.034, 
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    2.51036, 2.549867, 2.584096, 2.630547, 2.700843, 2.764374,
  2.559742, 2.575121, 2.598148, 2.612137, 2.617428, 2.617474, 2.611826, 
    2.610029, 2.632857, 2.64834, 2.656395, 2.658996, 2.654442, 2.639744, 
    2.613013, 2.574292, 2.51282, 2.423984, 2.325762, 2.227498, 2.137625, 
    2.054396, 1.977714, 1.925862, 1.895591, 1.87651, 1.864279, 1.861889, 
    1.866645, 1.876289, 1.892335, 1.919169, 1.933614, 1.944214, 1.954057, 
    1.962607, 1.968853, 1.974754, 1.981056, 1.986799, 1.502154, 1.015775, 
    1.01674, 1.002425, 0.968263, 0.9205986, 0.1728407, 0.8065898, 0.7517681, 
    0.696591, 0.6370993, 0.5854248, 0.5505013, 0.5351208, 0.584158, 1.058663, 
    1.067117, 1.079071, 1.097586, 1.119658, 1.140939, 1.16292, 1.187051, 
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    1.857063, 1.878788, 1.834204, 1.801822, 1.856538, 1.905573, 1.9406, 
    1.966182, 1.987834, 2.006523, 2.021196, 2.033758, 2.04611, 2.055505, 
    2.061878, 2.066852, 2.07133, 2.074544, 2.076462, 2.075925, 2.065643, 
    2.022733, 1.935368, 1.819679, 1.679456, 1.540121, 1.395847, 1.248418, 
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    2.076341, 2.158534, 2.215517, 2.264392, 2.309016, 2.345879, 2.391821, 
    2.455877, 2.512587,
  2.349644, 2.362934, 2.383167, 2.395756, 2.400101, 2.399901, 2.401552, 
    2.412382, 2.45043, 2.481833, 2.507945, 2.529321, 2.542386, 2.546006, 
    2.539284, 2.514009, 2.46294, 2.382499, 2.293458, 2.20517, 2.124175, 
    2.049835, 1.981085, 1.934921, 1.908093, 1.89141, 1.881221, 1.880028, 
    1.885382, 1.894935, 1.910178, 1.935014, 1.949114, 1.959359, 1.968607, 
    1.977107, 1.983107, 1.988752, 1.995, 2.000148, 2.004093, 2.007693, 
    2.009745, 1.983827, 1.921446, 1.831401, 1.04907, 1.605076, 1.496214, 
    1.386297, 1.26717, 1.162023, 1.088811, 1.051969, 1.040199, 1.042548, 
    1.050893, 1.063803, 1.084165, 1.109085, 1.134211, 1.160036, 1.189027, 
    1.217258, 0.9330099, 0.1906324, 0, 0, 0, 0, 0.5849306, 0.6653116, 
    0.6886906, 0.7205895, 0.7659274, 0.8280515, 0.8961092, 0.9723318, 
    1.059914, 1.134666, 1.177063, 1.187155, 1.191364, 1.181728, 0.5844742, 0, 
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    1.730158, 1.708686, 1.69454, 1.755873, 1.813263, 1.857168, 1.892683, 
    1.926765, 1.956946, 1.980961, 2.002176, 2.021629, 2.037225, 2.047661, 
    2.055986, 2.063301, 2.068364, 2.071971, 2.073133, 2.064845, 2.027486, 
    1.950354, 1.84804, 1.723343, 1.599304, 1.47076, 1.338717, 1.187186, 
    1.022013, 0.8949348, 0.5607134, 0.4066216, 0.3674707, 0.3258348, 
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    2.114044, 2.151998, 2.196941, 2.25591, 2.308285,
  2.07713, 2.090085, 2.110757, 2.124785, 2.131724, 2.139429, 2.16095, 
    2.194532, 2.252102, 2.30408, 2.352624, 2.397368, 2.432353, 2.458239, 
    2.468852, 2.451331, 2.407803, 2.337331, 2.259779, 2.182316, 2.112159, 
    2.048648, 1.987452, 1.945678, 1.921594, 1.906955, 1.898214, 1.898021, 
    1.903621, 1.913421, 1.92807, 1.951362, 1.964854, 1.974855, 1.984107, 
    1.992455, 1.998101, 2.003755, 2.009552, 2.014501, 2.018101, 2.021701, 
    2.023952, 2.001467, 1.947921, 1.867448, 1.76182, 1.646745, 1.536082, 
    1.42402, 1.30155, 1.190161, 1.109215, 1.060086, 1.03619, 1.0317, 1.03818, 
    1.052388, 1.074804, 1.103029, 1.1315, 1.160671, 1.194447, 1.226823, 
    1.252101, 0.8349833, 0.6560433, 0.6593369, 0.6620225, 0.6668363, 
    1.245977, 1.342607, 1.389416, 1.451962, 1.538575, 1.655805, 1.781948, 
    1.922063, 2.081487, 2.216422, 2.290597, 2.3032, 2.301011, 2.270357, 
    1.650347, 0.3184701, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.059974, 1.554834, 
    1.611135, 1.604615, 1.602277, 1.666536, 1.727395, 1.776209, 1.819098, 
    1.862801, 1.903617, 1.938451, 1.97084, 2.001135, 2.026421, 2.04454, 
    2.058441, 2.070389, 2.078517, 2.083428, 2.085175, 2.076712, 2.041806, 
    1.970928, 1.878378, 1.765845, 1.654411, 1.53919, 1.420824, 1.285124, 
    1.136629, 1.020052, 0.9380739, 0.8639233, 0.784139, 0.6984919, 0.6166809, 
    0.3220426, 0.2553335, 0.2229544, 0.06323797, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.888409, 1.916526, 1.951652, 1.996595, 2.038123,
  1.727301, 1.74131, 1.764977, 1.783153, 1.798675, 1.825468, 1.872277, 
    1.932543, 2.015302, 2.093162, 2.170291, 2.243773, 2.305993, 2.354506, 
    2.379279, 2.373199, 2.340822, 2.281491, 2.217115, 2.152091, 2.094614, 
    2.043082, 1.992971, 1.956717, 1.936855, 1.925384, 1.919208, 1.920875, 
    1.926931, 1.935769, 1.948799, 1.968208, 1.981108, 1.990853, 2.000101, 
    2.008301, 2.013601, 2.019247, 2.025, 2.029647, 2.033348, 2.036695, 
    2.039096, 2.019315, 1.972399, 1.9017, 1.806971, 1.698784, 1.592399, 
    1.482842, 1.358537, 1.242465, 1.154874, 1.095619, 1.058391, 1.041469, 
    1.041355, 1.051395, 1.072716, 1.104487, 1.136563, 1.169339, 1.206609, 
    1.243289, 1.272412, 1.296634, 1.311966, 1.321555, 1.329285, 1.340861, 
    1.363341, 1.401007, 1.449114, 1.510859, 1.592784, 1.700782, 1.813462, 
    1.936624, 2.074668, 2.188607, 2.247329, 2.248322, 2.229796, 2.181214, 
    2.098797, 0.6171075, 0, 0, 0, 0, 0, 0, 0, 0, 0.06384898, 0.6422873, 
    0.6584901, 1.185252, 1.444878, 1.502194, 1.503316, 1.506883, 1.571935, 
    1.634346, 1.688145, 1.738453, 1.792939, 1.846943, 1.8965, 1.946083, 
    1.995637, 2.038376, 2.071045, 2.09705, 2.11898, 2.133281, 2.140298, 
    2.140279, 2.127031, 2.087326, 2.014887, 1.92391, 1.815551, 1.711027, 
    1.605424, 1.497731, 1.374191, 1.239821, 1.133431, 1.055715, 0.9830843, 
    0.9010375, 0.810216, 0.7211311, 0.6329336, 0.5510399, 0.4855703, 
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    0.6155527, 0.6557558, 0.6772245, 0.6802625, 0.6812245, 0.6913512, 
    1.113409, 1.544424, 1.561967, 1.585299, 1.602637, 1.626966, 1.657784, 
    1.68851,
  1.386492, 1.400838, 1.427356, 1.457068, 1.488997, 1.538079, 1.610081, 
    1.696133, 1.803831, 1.906629, 2.011593, 2.111641, 2.1921, 2.254359, 
    2.290374, 2.295947, 2.27461, 2.226328, 2.1738, 2.121986, 2.075904, 
    2.035776, 1.999609, 1.973082, 1.959674, 1.952903, 1.950626, 1.954082, 
    1.959975, 1.967268, 1.976997, 1.990009, 2.000379, 2.008666, 2.017057, 
    2.024296, 2.029596, 2.03525, 2.040947, 2.045296, 2.049096, 2.051842, 
    2.054291, 2.037205, 1.995132, 1.931721, 1.846417, 1.747975, 1.650571, 
    1.548621, 1.42888, 1.314672, 1.22701, 1.16523, 1.122234, 1.099482, 
    1.093774, 1.098213, 1.115997, 1.148082, 1.181473, 1.216982, 1.254466, 
    1.290582, 1.319408, 1.343687, 1.360222, 1.372114, 1.381607, 1.393891, 
    1.415959, 1.454606, 1.503053, 1.563391, 1.641469, 1.742281, 1.846192, 
    1.95814, 2.082222, 2.182058, 2.230711, 2.225135, 2.197447, 2.138703, 
    2.04832, 1.267739, 0.09522809, 0, 0, 0, 0, 0, 0, 0, 0.06229414, 
    0.6266465, 0.9564241, 1.30624, 1.351919, 1.403938, 1.403196, 1.403845, 
    1.466363, 1.53189, 1.592931, 1.652942, 1.721732, 1.794155, 1.864603, 
    1.939985, 2.020308, 2.093591, 2.152695, 2.20162, 2.243128, 2.270029, 
    2.281669, 2.279258, 2.255883, 2.201763, 2.11508, 2.010898, 1.891577, 
    1.781183, 1.675185, 1.570265, 1.452985, 1.330198, 1.232798, 1.159874, 
    1.091911, 1.013097, 0.9221653, 0.8308714, 0.739022, 0.6547845, 0.5912253, 
    0.5472996, 0.3314205, 0.3274288, 0.3719057, 0.4436556, 0.5476374, 
    0.6665967, 0.7908688, 0.9243501, 1.078274, 1.234626, 1.38187, 1.530177, 
    1.682532, 1.802047, 1.835241, 1.797595, 1.735357, 1.632286, 1.500273, 
    1.340631, 1.135856, 0.9198467, 0.7309085, 0.601121, 0.4899035, 0.3801028, 
    0.2990425, 0.241005, 0.1886346, 0.1515452, 0.1173906, 0.03081504, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.260081, 0.9475388, 1.18448, 1.255076, 
    1.282347, 1.275697, 1.257306, 1.254638, 1.253007, 1.256715, 1.256504, 
    1.268233, 1.278106, 1.298529, 1.323591, 1.349961,
  1.067272, 1.084812, 1.119538, 1.167084, 1.218332, 1.287788, 1.383413, 
    1.494403, 1.626338, 1.753727, 1.879711, 1.996614, 2.086668, 2.158521, 
    2.205989, 2.223708, 2.213423, 2.176538, 2.136968, 2.098892, 2.064207, 
    2.035115, 2.011023, 1.994721, 1.987148, 1.984821, 1.985886, 1.989888, 
    1.994935, 2.001382, 2.008876, 2.018119, 2.025918, 2.03337, 2.040615, 
    2.046865, 2.051659, 2.056446, 2.061036, 2.064527, 2.067367, 2.06916, 
    2.070902, 2.054648, 2.015608, 1.957684, 1.879976, 1.79022, 1.700261, 
    1.606102, 1.495703, 1.39006, 1.308949, 1.250568, 1.208627, 1.185626, 
    1.178719, 1.181612, 1.19791, 1.228406, 1.261713, 1.298166, 1.334872, 
    1.368526, 1.394719, 1.416004, 1.429332, 1.438711, 1.446398, 1.45583, 
    1.473157, 1.508371, 1.553284, 1.610105, 1.684282, 1.779404, 1.877423, 
    1.982443, 2.097302, 2.18801, 2.230281, 2.221469, 2.188545, 2.124274, 
    2.02996, 1.909047, 0.9753974, 0.7856297, 0.6778687, 0.578249, 0.05577689, 
    0, 0.212387, 0.4304377, 0.4451026, 0.4673527, 0.7954665, 1.140261, 
    1.188913, 1.242814, 1.271281, 1.300448, 1.361815, 1.431284, 1.499224, 
    1.569988, 1.654734, 1.750331, 1.849213, 1.958981, 2.083825, 2.20616, 
    2.309114, 2.397698, 2.47551, 2.527144, 2.550438, 2.548453, 2.511976, 
    2.434625, 2.325597, 2.198007, 2.05389, 1.915866, 1.790645, 1.673172, 
    1.550241, 1.430011, 1.335142, 1.259134, 1.18948, 1.112316, 1.026557, 
    0.9397519, 0.8531099, 0.7757758, 0.72129, 0.6892042, 0.6925367, 
    0.7369599, 0.8300685, 0.9763691, 1.183892, 1.419548, 1.664642, 1.926875, 
    2.227838, 2.530517, 2.814438, 3.098334, 3.389017, 3.616823, 3.675545, 
    3.592144, 3.449574, 3.226659, 2.951852, 2.625632, 2.213043, 1.779519, 
    1.398483, 1.137887, 0.9187441, 0.7146391, 0.5649573, 0.4575897, 
    0.3614221, 0.2931284, 0.2307358, 0.1245655, 0.07807752, 0.07474001, 
    0.07231274, 0.0691775, 0.07076838, 0.09958018, 0.05562518, 0.05077062, 
    0.004955698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.4888442, 0.7440626, 0.78654, 0.8080822, 0.8108634, 0.7161489, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.07994856, 0.2882396, 0.3542312, 
    0.4222963, 0.4798936, 0.7784724, 1.096253, 1.15754, 1.211247, 1.219903, 
    1.193166, 1.134031, 1.087234, 1.050608, 1.026935, 1.006006, 0.9995633, 
    0.9940621, 1.001845, 1.017475, 1.036924,
  0.871514, 0.8900375, 0.9267889, 0.9788479, 1.035616, 1.112345, 1.217631, 
    1.340782, 1.485594, 1.627267, 1.763296, 1.888789, 1.987734, 2.069187, 
    2.127641, 2.15776, 2.159477, 2.134948, 2.10897, 2.083941, 2.060753, 
    2.041403, 2.026901, 2.017936, 2.014657, 2.015216, 2.017767, 2.021716, 
    2.026415, 2.03216, 2.039261, 2.047457, 2.054904, 2.061997, 2.068595, 
    2.07434, 2.07864, 2.081887, 2.085485, 2.087729, 2.08963, 2.09083, 
    2.091323, 2.078413, 2.044458, 1.993003, 1.923602, 1.842301, 1.760147, 
    1.673792, 1.571734, 1.472702, 1.394749, 1.337443, 1.295535, 1.271172, 
    1.262712, 1.264405, 1.279343, 1.308532, 1.342432, 1.379132, 1.415827, 
    1.44917, 1.47391, 1.493405, 1.504199, 1.509929, 1.514356, 1.520892, 
    1.534473, 1.563996, 1.60327, 1.65479, 1.72411, 1.813172, 1.906146, 
    2.005766, 2.113831, 2.198001, 2.23578, 2.224566, 2.188555, 2.121495, 
    2.025995, 1.904248, 1.746062, 1.558502, 1.353388, 0.7585875, 0.0545544, 
    0, 0.4255594, 0.8527668, 0.8662004, 0.8975148, 0.931122, 0.972798, 
    1.020792, 1.074948, 1.134186, 1.1966, 1.26041, 1.333177, 1.407761, 
    1.489722, 1.593739, 1.716694, 1.849032, 1.99997, 2.179835, 2.364135, 
    2.527296, 2.675772, 2.80988, 2.901688, 2.945672, 2.948611, 2.899042, 
    2.794997, 2.659837, 2.500478, 2.31681, 2.135961, 1.979435, 1.835164, 
    1.690558, 1.559115, 1.455691, 1.367667, 1.287707, 1.20496, 1.120233, 
    1.036575, 0.9581087, 0.8912089, 0.8458467, 0.8235921, 0.8391461, 
    0.8944441, 0.9957776, 1.147842, 1.357393, 1.592228, 1.835009, 2.093535, 
    2.388606, 2.680962, 2.952857, 3.221591, 3.494965, 3.709006, 3.756609, 
    3.658597, 3.483403, 3.228209, 2.92965, 2.58456, 2.158347, 1.714152, 
    1.321407, 1.053977, 0.8367404, 0.6547419, 0.5230745, 0.4288382, 
    0.3450944, 0.2852827, 0.2315216, 0.1913991, 0.160768, 0.1540164, 
    0.1493175, 0.1428648, 0.1349143, 0.1251594, 0.1153067, 0.105454, 
    0.05594301, 0.04725489, 0.04447519, 0.04275683, 0.004245359, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.04750758, 0.4946348, 0.5705964, 
    1.117259, 1.430665, 1.519062, 1.566665, 1.578938, 1.476545, 0.7523382, 
    0.7204475, 0.6821887, 0.06721818, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2883306, 0.3673752, 0.3221924, 
    0.2926265, 0.2733202, 0.2650822, 0.349596, 0.5821296, 0.708738, 
    0.8448036, 0.9620393, 1.054184, 1.131635, 1.188848, 1.23091, 1.234243, 
    1.200145, 1.116603, 1.040469, 0.9757797, 0.9236825, 0.8810207, 0.8572214, 
    0.8417084, 0.8377417, 0.8427942, 0.8530928,
  0.8244743, 0.8377455, 0.8648426, 0.9083437, 0.957547, 1.02775, 1.127607, 
    1.247018, 1.39014, 1.531869, 1.66966, 1.799161, 1.903372, 1.991844, 
    2.059033, 2.101343, 2.115305, 2.103366, 2.090028, 2.077187, 2.064536, 
    2.053978, 2.047717, 2.044342, 2.043649, 2.045049, 2.047749, 2.051701, 
    2.056401, 2.061449, 2.068144, 2.075439, 2.082639, 2.089139, 2.095084, 
    2.100182, 2.103876, 2.106523, 2.109469, 2.111067, 2.112613, 2.113459, 
    2.113814, 2.106989, 2.081432, 2.038729, 1.978123, 1.905869, 1.832112, 
    1.753802, 1.660451, 1.566335, 1.488488, 1.429881, 1.386473, 1.360216, 
    1.349957, 1.349845, 1.362786, 1.389875, 1.423169, 1.458909, 1.493796, 
    1.525334, 1.548123, 1.565304, 1.576565, 1.582435, 1.586401, 1.591752, 
    1.604461, 1.631865, 1.667654, 1.714281, 1.775781, 1.851278, 1.92935, 
    2.011601, 2.098821, 2.159763, 2.182935, 2.165939, 2.124544, 2.054978, 
    1.961852, 1.846716, 1.702697, 1.539861, 1.372062, 0.8134913, 0.515394, 0, 
    0.2132848, 0.4227591, 0.8152712, 0.8654899, 0.8795778, 0.9052337, 
    0.940102, 0.9841404, 1.037543, 1.097959, 1.162507, 1.237615, 1.317032, 
    1.408725, 1.531103, 1.680275, 1.846696, 2.041875, 2.280479, 2.530168, 
    2.76193, 2.981452, 3.185682, 3.330127, 3.403653, 3.416517, 3.356171, 
    3.226345, 3.060128, 2.86026, 2.626349, 2.396281, 2.202414, 2.026098, 
    1.856237, 1.709972, 1.596792, 1.499365, 1.4075, 1.31464, 1.223349, 
    1.136979, 1.060265, 0.9968035, 0.9537923, 0.9338737, 0.9511409, 1.009629, 
    1.111705, 1.261013, 1.46435, 1.691889, 1.929252, 2.183076, 2.474061, 
    2.761806, 3.028958, 3.294386, 3.56508, 3.775245, 3.819556, 3.710855, 
    3.5121, 3.233749, 2.918227, 2.558613, 2.118985, 1.663411, 1.26348, 
    0.9913101, 0.78021, 0.6155922, 0.4976549, 0.413296, 0.3388382, 0.2853165, 
    0.2375411, 0.2020122, 0.1744761, 0.1675256, 0.162572, 0.1555184, 
    0.1473668, 0.1370153, 0.1265617, 0.1161081, 0.106606, 0.0985514, 
    0.0930514, 0.0896514, 0.05118534, 0.04728108, 0.02399414, 0, 0, 0, 0, 0, 
    0.07425553, 0.09016743, 0.1000177, 0.1130503, 0.1349733, 0.1787689, 
    0.2321117, 0.3006591, 0.4313828, 0.9526853, 1.101217, 1.237878, 1.368271, 
    1.468447, 1.530443, 1.560608, 1.554947, 1.523404, 1.474499, 1.413347, 
    0.7192146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.09441061, 0.9325889, 0.4528577, 0, 0, 0, 0, 0, 0.764731, 0.827924, 
    0.800899, 0.7671557, 0.7212385, 0.4784178, 0, 0, 0.5416108, 0.6130881, 
    0.3134392, 0, 0, 0, 0, 0, 0, 0, 0, 0.5480766, 0.7145201, 0.6232919, 
    0.5435303, 0.7552801, 0.7687761, 0.6754864, 0.613097, 0.5713609, 
    0.5518281, 0.5614993, 0.6142056, 0.7330655, 0.870515, 0.9924293, 1.0907, 
    1.175679, 1.242923, 1.287029, 1.295143, 1.266497, 1.180562, 1.095903, 
    1.020679, 0.9559411, 0.8974341, 0.8584724, 0.8352056, 0.822078, 
    0.8181812, 0.8192855,
  0.8628969, 0.8716298, 0.8907519, 0.9257146, 0.9667793, 1.028491, 1.119495, 
    1.229692, 1.365598, 1.500804, 1.633514, 1.758267, 1.860436, 1.950027, 
    2.021886, 2.071147, 2.093471, 2.089894, 2.085574, 2.081353, 2.076836, 
    2.073365, 2.071673, 2.071127, 2.07138, 2.072679, 2.075227, 2.079176, 
    2.08337, 2.087918, 2.094067, 2.100261, 2.106855, 2.11275, 2.118048, 
    2.122493, 2.125593, 2.127993, 2.130039, 2.131388, 2.132336, 2.132937, 
    2.133939, 2.131053, 2.114147, 2.080441, 2.029544, 1.966591, 1.901586, 
    1.83168, 1.747776, 1.661016, 1.585737, 1.525832, 1.48047, 1.452258, 
    1.440198, 1.437939, 1.447818, 1.472555, 1.504397, 1.538692, 1.572292, 
    1.60254, 1.624392, 1.64065, 1.654617, 1.664386, 1.671198, 1.677304, 
    1.690855, 1.717291, 1.749921, 1.790938, 1.842236, 1.90001, 1.957681, 
    2.015332, 2.071701, 2.10331, 2.105275, 2.07822, 2.029238, 1.957128, 
    1.867186, 1.761872, 1.638904, 1.510387, 1.384059, 1.258819, 1.102296, 
    0.5490789, 0.5114638, 0.1490465, 0.4295101, 0.862174, 0.8551741, 
    0.8618275, 0.8799918, 0.9113767, 0.9546227, 1.006976, 1.070064, 1.146115, 
    1.228074, 1.325792, 1.460186, 1.630527, 1.826101, 2.061275, 2.355278, 
    2.670548, 2.973198, 3.266062, 3.545537, 3.750701, 3.861195, 3.89004, 
    3.822968, 3.668396, 3.467213, 3.221521, 2.932076, 2.646539, 2.408664, 
    2.19849, 2.006076, 1.847921, 1.729549, 1.629397, 1.533014, 1.437141, 
    1.34487, 1.256065, 1.176197, 1.109224, 1.063054, 1.03787, 1.046769, 
    1.097152, 1.188066, 1.321652, 1.509714, 1.724749, 1.9535, 2.202225, 
    2.491068, 2.780338, 3.051525, 3.325178, 3.607399, 3.823492, 3.870963, 
    3.754586, 3.538668, 3.244105, 2.916253, 2.544646, 2.091033, 1.622829, 
    1.217304, 0.9426991, 0.7419025, 0.5916652, 0.4844608, 0.4073426, 
    0.3397196, 0.2912422, 0.2475588, 0.215422, 0.1898279, 0.1827269, 
    0.1770735, 0.1696735, 0.1608686, 0.1498637, 0.1390637, 0.1282637, 
    0.1181093, 0.1095588, 0.1040588, 0.1003054, 0.09819949, 0.09849753, 
    0.07703666, 0.05629636, 0.06063851, 0.06583898, 0.07119092, 0.07760315, 
    0.1576029, 0.1810245, 0.2002721, 0.2258196, 0.2690681, 0.3534961, 
    0.4557133, 0.5873235, 0.749328, 0.9112452, 1.057086, 1.195947, 1.334739, 
    1.44956, 1.532068, 1.589425, 1.619846, 1.62753, 1.614392, 1.586173, 
    1.49137, 0.8532307, 0.8749919, 0.9260878, 1.033177, 1.198986, 1.390495, 
    1.602149, 1.829253, 2.030759, 2.17612, 2.275534, 2.315725, 2.263518, 
    1.097653, 0, 0, 0.4003353, 1.261998, 1.114618, 1.09466, 1.844433, 
    1.336773, 0.8731238, 0.8685796, 0.874285, 0.8805458, 0.8807983, 1.621999, 
    1.66884, 1.626144, 1.571563, 1.493992, 1.221059, 0.7250366, 0.7071126, 
    1.233566, 1.315286, 1.043859, 0.7666909, 0.8113241, 0.8684787, 0.9191707, 
    0.9507774, 0.9565838, 0.9353274, 0.8951879, 1.369612, 1.448227, 1.268587, 
    1.110081, 0.9694214, 0.8420631, 0.7435494, 0.6760367, 0.6295239, 
    0.6057636, 0.610644, 0.6559631, 0.764248, 0.8995274, 1.022979, 1.124137, 
    1.213402, 1.287932, 1.341471, 1.361022, 1.344893, 1.269886, 1.188071, 
    1.11249, 1.045302, 0.9814532, 0.9348871, 0.9037228, 0.8816586, 0.8714916, 
    0.8666768,
  0.9751691, 0.9825223, 0.9994784, 1.031637, 1.070449, 1.128855, 1.215911, 
    1.319247, 1.443127, 1.56666, 1.686983, 1.799211, 1.890085, 1.970812, 
    2.035133, 2.077761, 2.098575, 2.097728, 2.097034, 2.095936, 2.095341, 
    2.09474, 2.094143, 2.094245, 2.094846, 2.096147, 2.098244, 2.101842, 
    2.105089, 2.109389, 2.115035, 2.120433, 2.125827, 2.130875, 2.135521, 
    2.139319, 2.141813, 2.143961, 2.145561, 2.146709, 2.147056, 2.147756, 
    2.149007, 2.148969, 2.14086, 2.117011, 2.076961, 2.024615, 1.969566, 
    1.909616, 1.835767, 1.758618, 1.688244, 1.627643, 1.580436, 1.549674, 
    1.535211, 1.530194, 1.53633, 1.557458, 1.587145, 1.619633, 1.65182, 
    1.681213, 1.70286, 1.720667, 1.737175, 1.750743, 1.760155, 1.76746, 
    1.780253, 1.804343, 1.832874, 1.867699, 1.909913, 1.954713, 1.998458, 
    2.039397, 2.075179, 2.089251, 2.076696, 2.041068, 1.986597, 1.912135, 
    1.824397, 1.725473, 1.616627, 1.509753, 1.407411, 1.308556, 1.216261, 
    1.127925, 1.05615, 0.6689146, 0.09462065, 0.4282549, 0.4197849, 
    0.4182494, 0.8087817, 0.8678494, 0.8968175, 0.9369988, 0.9922875, 
    1.064046, 1.145635, 1.24473, 1.384691, 1.568329, 1.784252, 2.049215, 
    2.387791, 2.760827, 3.129309, 3.493278, 3.847873, 4.116113, 4.265946, 
    4.315247, 4.247764, 4.071981, 3.835325, 3.540848, 3.192226, 2.848405, 
    2.566103, 2.323061, 2.108564, 1.940776, 1.82058, 1.723157, 1.633402, 
    1.545602, 1.461248, 1.376188, 1.293579, 1.222109, 1.170982, 1.139102, 
    1.138006, 1.174541, 1.247505, 1.358956, 1.524783, 1.725663, 1.943911, 
    2.187032, 2.474426, 2.768401, 3.047692, 3.332948, 3.628657, 3.85481, 
    3.906379, 3.787481, 3.561198, 3.256059, 2.918519, 2.536878, 2.072589, 
    1.594598, 1.185135, 0.9100859, 0.7180167, 0.5794663, 0.4805, 0.4095271, 
    0.3466458, 0.3015057, 0.2610702, 0.2307748, 0.2066328, 0.1989281, 
    0.1923225, 0.1846702, 0.1749664, 0.1637188, 0.1525655, 0.1414122, 
    0.1306608, 0.1220608, 0.1163085, 0.1119561, 0.1092057, 0.1088515, 
    0.1112991, 0.1165468, 0.1246421, 0.1344374, 0.1450374, 0.1573842, 
    0.1715328, 0.1870328, 0.2065374, 0.2323421, 0.2753412, 0.3560271, 
    0.4522524, 0.5757645, 0.7290261, 0.8850523, 1.028388, 1.168236, 1.314163, 
    1.443078, 1.547075, 1.635011, 1.710523, 1.767612, 1.796604, 1.804216, 
    1.808743, 1.820763, 1.861188, 1.950175, 2.136032, 2.422645, 2.762075, 
    3.148117, 3.570917, 3.950637, 4.226476, 4.41414, 4.487684, 4.387918, 
    3.11674, 1.863374, 1.645555, 1.812855, 2.473257, 2.187564, 1.971123, 
    1.834676, 1.76522, 1.730057, 1.724792, 1.739423, 1.755103, 1.76171, 
    1.757675, 1.74665, 1.736403, 1.717422, 1.678559, 1.634946, 1.601535, 
    1.579257, 1.572425, 1.587349, 1.61545, 1.65224, 1.711924, 1.796054, 
    1.870211, 1.91116, 1.9108, 1.865824, 1.785617, 1.66273, 1.4975, 1.321374, 
    1.164192, 1.02345, 0.8959059, 0.7965105, 0.7274582, 0.6794059, 0.6536469, 
    0.6555377, 0.6949115, 0.7916656, 0.9201216, 1.046649, 1.153645, 1.250854, 
    1.336127, 1.402559, 1.436192, 1.436225, 1.377035, 1.303327, 1.229879, 
    1.164132, 1.100482, 1.052736, 1.020136, 0.9969895, 0.9861998, 0.9806064,
  1.125707, 1.134113, 1.152066, 1.18562, 1.225972, 1.285225, 1.37237, 
    1.471344, 1.579622, 1.6879, 1.791473, 1.88664, 1.961318, 2.025842, 
    2.073216, 2.100144, 2.112806, 2.112558, 2.112509, 2.112063, 2.112063, 
    2.111716, 2.111567, 2.111716, 2.112315, 2.113614, 2.115666, 2.118663, 
    2.121563, 2.12551, 2.130104, 2.135102, 2.139549, 2.143996, 2.147994, 
    2.15114, 2.15304, 2.154587, 2.155985, 2.156683, 2.157036, 2.157383, 
    2.158632, 2.161143, 2.160067, 2.146763, 2.11847, 2.078579, 2.035286, 
    1.986387, 1.924294, 1.858849, 1.795992, 1.737663, 1.68941, 1.656452, 
    1.638735, 1.629766, 1.631793, 1.648424, 1.674402, 1.703534, 1.732367, 
    1.759402, 1.779844, 1.79784, 1.815694, 1.831296, 1.842601, 1.850753, 
    1.862602, 1.884037, 1.90857, 1.937996, 1.973269, 2.009438, 2.04421, 
    2.076189, 2.102115, 2.104686, 2.083864, 2.044507, 1.98589, 1.908829, 
    1.822076, 1.726229, 1.62439, 1.528567, 1.442661, 1.359915, 1.279721, 
    1.201652, 1.136588, 1.078177, 0.5864446, 0.5075504, 0.483033, 0.464872, 
    0.8303841, 0.871527, 0.8845626, 0.9087857, 0.9481016, 1.006472, 1.079759, 
    1.174424, 1.314414, 1.502266, 1.729245, 2.010837, 2.377824, 2.791462, 
    3.209183, 3.629383, 4.04389, 4.364784, 4.547656, 4.613558, 4.549372, 
    4.359978, 4.09558, 3.761491, 3.36472, 2.973756, 2.654972, 2.38769, 
    2.159813, 1.988013, 1.871391, 1.782088, 1.703393, 1.628309, 1.555115, 
    1.480167, 1.402469, 1.333258, 1.282285, 1.249152, 1.243504, 1.272196, 
    1.334028, 1.4319, 1.58127, 1.771693, 1.983182, 2.223736, 2.511899, 
    2.811778, 3.098758, 3.393085, 3.697103, 3.933544, 3.986843, 3.861231, 
    3.617003, 3.29166, 2.934121, 2.532834, 2.048696, 1.55217, 1.125327, 
    0.8399351, 0.6538593, 0.5287318, 0.44216, 0.3811226, 0.3282942, 
    0.2925685, 0.2614374, 0.2454095, 0.2403714, 0.2422609, 0.2438892, 
    0.2444643, 0.2450087, 0.2448549, 0.2439992, 0.2431436, 0.2369857, 
    0.2308576, 0.2276826, 0.2269671, 0.2285056, 0.2310855, 0.2360601, 
    0.2434816, 0.252595, 0.2618446, 0.2718392, 0.2821744, 0.2935512, 
    0.3047631, 0.3141692, 0.3281097, 0.3576411, 0.4210007, 0.5001727, 
    0.6041854, 0.7364855, 0.8750532, 1.007419, 1.144395, 1.293649, 1.434091, 
    1.557775, 1.673089, 1.790664, 1.894352, 1.961914, 2.001798, 2.030846, 
    2.054837, 2.087895, 2.149205, 2.280752, 2.485641, 2.745029, 3.059028, 
    3.420772, 3.754583, 4.000725, 4.16747, 4.231791, 4.142098, 3.90554, 
    3.575566, 3.166818, 2.743072, 2.394278, 2.127694, 1.92728, 1.803443, 
    1.744091, 1.718339, 1.722087, 1.744628, 1.769279, 1.792221, 1.817876, 
    1.848279, 1.884955, 1.917455, 1.93589, 1.951039, 1.963771, 1.97011, 
    1.96733, 1.962879, 1.955655, 1.942762, 1.939403, 1.956865, 1.968438, 
    1.959434, 1.92897, 1.873754, 1.791442, 1.671354, 1.512442, 1.344038, 
    1.193076, 1.056808, 0.9323297, 0.8352458, 0.7669044, 0.7188566, 
    0.6920557, 0.6917449, 0.7263775, 0.8138381, 0.9338042, 1.060682, 
    1.174045, 1.283952, 1.385175, 1.470112, 1.522097, 1.539069, 1.493483, 
    1.431397, 1.364856, 1.302837, 1.240548, 1.19456, 1.163171, 1.141582, 
    1.133193, 1.129454,
  1.283677, 1.292776, 1.311127, 1.345581, 1.386181, 1.445681, 1.53223, 
    1.625607, 1.717335, 1.809415, 1.895387, 1.972563, 2.031043, 2.079023, 
    2.108796, 2.119375, 2.123538, 2.123538, 2.123538, 2.123538, 2.123538, 
    2.123538, 2.123538, 2.123538, 2.124038, 2.125239, 2.127084, 2.129634, 
    2.132282, 2.13563, 2.139126, 2.143573, 2.147774, 2.151268, 2.154463, 
    2.157113, 2.159013, 2.160213, 2.16101, 2.161662, 2.162009, 2.162362, 
    2.163713, 2.167715, 2.171786, 2.168528, 2.153437, 2.127197, 2.096248, 
    2.059706, 2.011218, 1.958675, 1.906475, 1.853904, 1.805859, 1.771203, 
    1.75024, 1.737325, 1.734303, 1.745576, 1.76615, 1.790578, 1.814351, 
    1.836776, 1.855065, 1.871254, 1.888192, 1.903891, 1.915539, 1.922981, 
    1.93337, 1.951707, 1.97224, 1.996619, 2.0266, 2.056526, 2.086663, 
    2.115406, 2.138453, 2.136492, 2.111629, 2.07173, 2.013146, 1.938023, 
    1.854201, 1.761979, 1.660724, 1.567672, 1.490757, 1.421572, 1.354531, 
    1.285427, 1.227958, 1.177136, 1.121251, 1.067068, 1.019527, 0.9821146, 
    0.9529411, 0.9388522, 0.9396589, 0.9492067, 0.9708861, 1.010805, 
    1.068381, 1.150104, 1.279876, 1.461521, 1.688393, 1.974442, 2.352807, 
    2.785589, 3.228239, 3.677902, 4.124378, 4.475048, 4.676996, 4.750814, 
    4.687156, 4.490132, 4.210949, 3.856507, 3.433949, 3.018243, 2.678744, 
    2.398409, 2.166451, 1.996567, 1.886244, 1.807086, 1.741899, 1.682117, 
    1.622983, 1.561397, 1.496659, 1.43776, 1.394197, 1.366023, 1.362187, 
    1.388574, 1.44545, 1.535913, 1.676113, 1.85726, 2.063022, 2.301349, 
    2.588428, 2.89057, 3.181475, 3.477968, 3.779428, 4.015638, 4.069393, 
    3.932001, 3.664021, 3.311726, 2.927329, 2.499885, 1.991106, 1.476421, 
    1.03261, 0.7372121, 0.5592583, 0.4502268, 0.3807988, 0.3355237, 0.299499, 
    0.2833958, 0.2771927, 0.2866946, 0.3083691, 0.3297504, 0.3487745, 
    0.3667516, 0.3865765, 0.4055989, 0.4192836, 0.4280263, 0.4263246, 
    0.4221707, 0.4217708, 0.4252237, 0.4313263, 0.4388904, 0.448305, 
    0.4598195, 0.4711255, 0.4797708, 0.4885657, 0.4963076, 0.5033426, 
    0.508981, 0.5045014, 0.4982329, 0.5031857, 0.5376728, 0.5893596, 
    0.6591986, 0.7516009, 0.8542202, 0.9599224, 1.082473, 1.227685, 1.377928, 
    1.52167, 1.665807, 1.825904, 1.974458, 2.079877, 2.149201, 2.197724, 
    2.227737, 2.252052, 2.285749, 2.364993, 2.495854, 2.680914, 2.92268, 
    3.220173, 3.505939, 3.720318, 3.865786, 3.92381, 3.845503, 3.637613, 
    3.344007, 2.978029, 2.598513, 2.283756, 2.041756, 1.859881, 1.748327, 
    1.696495, 1.677911, 1.690441, 1.722382, 1.759389, 1.803079, 1.861864, 
    1.936146, 2.021245, 2.106708, 2.18515, 2.260833, 2.322127, 2.359913, 
    2.365768, 2.342553, 2.299109, 2.235659, 2.167802, 2.11457, 2.05936, 
    1.995433, 1.926611, 1.852815, 1.767854, 1.65213, 1.503482, 1.347191, 
    1.206291, 1.077978, 0.9591557, 0.8659233, 0.8016499, 0.7555644, 0.728967, 
    0.7255003, 0.7503335, 0.8290967, 0.944389, 1.069192, 1.184043, 1.301352, 
    1.415694, 1.515893, 1.586471, 1.624532, 1.595865, 1.548782, 1.496044, 
    1.444352, 1.386479, 1.342989, 1.313647, 1.294104, 1.287659, 1.285866,
  1.439632, 1.449085, 1.46809, 1.50304, 1.54364, 1.603493, 1.683036, 
    1.764259, 1.839443, 1.914974, 1.9828, 2.042225, 2.084156, 2.115587, 
    2.128321, 2.129512, 2.129512, 2.129512, 2.129513, 2.129512, 2.129512, 
    2.129512, 2.129513, 2.129512, 2.12976, 2.130708, 2.132108, 2.134457, 
    2.136504, 2.139251, 2.142503, 2.146049, 2.149744, 2.152392, 2.154992, 
    2.157441, 2.158988, 2.159835, 2.160487, 2.160984, 2.160984, 2.161684, 
    2.163183, 2.167937, 2.175748, 2.180423, 2.178878, 2.166787, 2.148945, 
    2.126203, 2.092162, 2.053925, 2.013927, 1.97007, 1.925544, 1.88959, 
    1.865728, 1.849213, 1.841142, 1.845562, 1.859886, 1.878056, 1.894925, 
    1.911552, 1.925527, 1.938461, 1.9527, 1.966536, 1.976474, 1.981512, 
    1.988293, 2.002572, 2.018904, 2.038736, 2.063562, 2.089351, 2.117599, 
    2.146557, 2.171374, 2.170191, 2.144648, 2.106158, 2.052331, 1.984213, 
    1.90699, 1.818192, 1.713872, 1.618958, 1.548478, 1.493432, 1.439836, 
    1.381328, 1.331158, 1.286583, 1.237272, 1.189761, 1.146033, 1.108242, 
    1.074779, 1.053306, 1.045224, 1.043784, 1.050327, 1.072711, 1.11299, 
    1.176716, 1.287787, 1.455223, 1.674236, 1.957313, 2.33706, 2.775072, 
    3.226244, 3.686874, 4.146257, 4.508536, 4.717347, 4.793146, 4.726277, 
    4.522646, 4.235765, 3.871877, 3.437889, 3.011858, 2.663885, 2.377165, 
    2.144014, 1.976669, 1.872393, 1.802429, 1.75088, 1.707046, 1.664115, 
    1.618384, 1.569908, 1.525024, 1.491873, 1.471311, 1.47128, 1.495826, 
    1.54665, 1.627557, 1.754395, 1.920523, 2.114916, 2.344315, 2.624328, 
    2.921142, 3.209013, 3.500377, 3.790018, 4.012898, 4.061299, 3.916176, 
    3.63202, 3.260302, 2.85709, 2.412589, 1.898167, 1.389046, 0.9549854, 
    0.6668428, 0.5002416, 0.4082659, 0.3562397, 0.3283607, 0.310185, 
    0.3138548, 0.3325188, 0.3620356, 0.401964, 0.4419891, 0.4783101, 
    0.5142839, 0.552614, 0.5877267, 0.6060317, 0.6145366, 0.6112755, 
    0.6045582, 0.6024947, 0.604984, 0.6098213, 0.6168032, 0.6259372, 
    0.6368184, 0.6455922, 0.652936, 0.6608839, 0.6667261, 0.6711692, 
    0.6742089, 0.6656032, 0.6471687, 0.631089, 0.6372148, 0.6589777, 
    0.6926349, 0.7426261, 0.8048173, 0.8763787, 0.9721043, 1.104637, 
    1.258979, 1.417967, 1.589964, 1.792121, 1.983175, 2.121232, 2.215165, 
    2.277609, 2.31052, 2.328099, 2.342489, 2.381405, 2.458489, 2.589573, 
    2.77841, 3.026702, 3.277188, 3.468313, 3.598566, 3.651398, 3.582384, 
    3.39787, 3.134279, 2.803957, 2.462392, 2.17735, 1.956679, 1.789578, 
    1.686555, 1.638266, 1.621466, 1.638071, 1.67709, 1.725328, 1.787594, 
    1.874999, 1.988699, 2.11656, 2.248991, 2.380344, 2.508098, 2.611811, 
    2.678719, 2.696111, 2.656993, 2.580005, 2.472183, 2.34968, 2.237063, 
    2.126961, 2.015135, 1.910002, 1.81754, 1.732852, 1.629328, 1.499935, 
    1.36092, 1.233181, 1.114171, 1.002049, 0.9124627, 0.8512626, 0.8065097, 
    0.7779412, 0.7688613, 0.7804162, 0.8461952, 0.9555542, 1.078183, 
    1.191521, 1.309064, 1.431742, 1.543642, 1.6304, 1.69234, 1.687303, 
    1.656825, 1.618484, 1.580843, 1.53295, 1.492414, 1.46462, 1.446272, 
    1.441128, 1.440481,
  1.592094, 1.601894, 1.621041, 1.65599, 1.69659, 1.751852, 1.815431, 
    1.878612, 1.937346, 1.99608, 2.045709, 2.086937, 2.111819, 2.126554, 
    2.128935, 2.128984, 2.128984, 2.128984, 2.128984, 2.128984, 2.128984, 
    2.128984, 2.128984, 2.128984, 2.129236, 2.129835, 2.131034, 2.132931, 
    2.134984, 2.137032, 2.139927, 2.142725, 2.145473, 2.14752, 2.149918, 
    2.151765, 2.152713, 2.153313, 2.153911, 2.153961, 2.15396, 2.154661, 
    2.156211, 2.161713, 2.171216, 2.180378, 2.187544, 2.188138, 2.184343, 
    2.175647, 2.156609, 2.13377, 2.107327, 2.075278, 2.039624, 2.007206, 
    1.981957, 1.961238, 1.94706, 1.944231, 1.95135, 1.962322, 1.971491, 
    1.981512, 1.989992, 1.998825, 2.009609, 2.019592, 2.025925, 2.027358, 
    2.029187, 2.037662, 2.048839, 2.063868, 2.083248, 2.106639, 2.135295, 
    2.167462, 2.198344, 2.203527, 2.182657, 2.148482, 2.101413, 2.041346, 
    1.971779, 1.885397, 1.780057, 1.680131, 1.609512, 1.559903, 1.517087, 
    1.468373, 1.425602, 1.387379, 1.345752, 1.306631, 1.27072, 1.238657, 
    1.206379, 1.180315, 1.165492, 1.154858, 1.148259, 1.155201, 1.178787, 
    1.224769, 1.316996, 1.467978, 1.674768, 1.949474, 2.324792, 2.762478, 
    3.215925, 3.680931, 4.145591, 4.511996, 4.722701, 4.7983, 4.728444, 
    4.519028, 4.226161, 3.855242, 3.413769, 2.980593, 2.628079, 2.337517, 
    2.103512, 1.937517, 1.837579, 1.774399, 1.734037, 1.705646, 1.679512, 
    1.651284, 1.621308, 1.593882, 1.574039, 1.562927, 1.567345, 1.590084, 
    1.632291, 1.699324, 1.806126, 1.950221, 2.124921, 2.33779, 2.603615, 
    2.888405, 3.166658, 3.448769, 3.725725, 3.934683, 3.97552, 3.829484, 
    3.536266, 3.153595, 2.744256, 2.301014, 1.799185, 1.311024, 0.9008269, 
    0.6281434, 0.4747, 0.4012244, 0.3670945, 0.351826, 0.3496307, 0.3704487, 
    0.4053149, 0.451381, 0.5094991, 0.5677203, 0.6210864, 0.6744525, 
    0.7309691, 0.7749794, 0.794736, 0.8043399, 0.7998407, 0.7919478, 
    0.786988, 0.7851644, 0.7847856, 0.7864108, 0.7898817, 0.7951053, 
    0.7996974, 0.8052392, 0.8123345, 0.8183935, 0.8246644, 0.8295385, 
    0.8219014, 0.7953203, 0.75934, 0.734818, 0.7237912, 0.7225535, 0.733196, 
    0.7560386, 0.7929489, 0.8564647, 0.9712899, 1.120658, 1.284461, 1.473502, 
    1.706898, 1.928692, 2.08826, 2.197047, 2.266964, 2.301264, 2.315055, 
    2.319736, 2.335078, 2.378874, 2.479543, 2.636902, 2.85567, 3.083148, 
    3.259252, 3.37972, 3.42921, 3.367484, 3.201547, 2.962133, 2.661041, 
    2.353076, 2.091961, 1.886454, 1.729336, 1.631351, 1.585055, 1.568154, 
    1.5848, 1.627259, 1.68409, 1.761244, 1.872733, 2.020105, 2.181212, 
    2.350379, 2.530568, 2.707863, 2.847338, 2.930362, 2.945303, 2.881625, 
    2.772555, 2.63307, 2.47206, 2.310786, 2.15502, 2.010178, 1.887013, 
    1.792757, 1.719535, 1.636524, 1.530254, 1.409013, 1.293299, 1.182122, 
    1.073472, 0.9839101, 0.9197873, 0.8707062, 0.8353205, 0.8181858, 
    0.8183898, 0.8661661, 0.9610417, 1.071517, 1.177622, 1.292861, 1.419616, 
    1.543916, 1.64472, 1.728405, 1.752173, 1.745592, 1.728905, 1.708686, 
    1.675346, 1.641687, 1.614838, 1.597443, 1.593044, 1.592442,
  1.740552, 1.749999, 1.768951, 1.803448, 1.840521, 1.882105, 1.927385, 
    1.972817, 2.014753, 2.05669, 2.088121, 2.111152, 2.119241, 2.122466, 
    2.122466, 2.122466, 2.122466, 2.122466, 2.122466, 2.122466, 2.122466, 
    2.122466, 2.122466, 2.122466, 2.122714, 2.123315, 2.124012, 2.125411, 
    2.127458, 2.129158, 2.131005, 2.133404, 2.135199, 2.137, 2.138847, 
    2.139743, 2.140443, 2.140791, 2.141393, 2.141443, 2.141443, 2.141791, 
    2.143239, 2.14904, 2.158939, 2.169539, 2.180301, 2.188971, 2.194237, 
    2.196014, 2.192421, 2.185231, 2.173185, 2.15484, 2.132193, 2.108126, 
    2.085344, 2.064309, 2.046257, 2.035424, 2.034039, 2.037207, 2.038376, 
    2.040596, 2.044178, 2.049165, 2.056001, 2.061634, 2.064373, 2.061507, 
    2.058087, 2.060767, 2.066297, 2.076027, 2.090811, 2.111751, 2.142259, 
    2.179431, 2.218361, 2.232749, 2.220384, 2.193314, 2.154447, 2.103736, 
    2.042516, 1.960986, 1.857994, 1.753938, 1.679024, 1.625805, 1.58524, 
    1.542954, 1.507532, 1.47772, 1.443755, 1.412991, 1.386927, 1.362953, 
    1.337383, 1.312051, 1.292739, 1.274111, 1.255216, 1.247964, 1.255806, 
    1.28429, 1.357012, 1.488631, 1.678008, 1.937384, 2.299968, 2.728866, 
    3.177029, 3.63885, 4.102332, 4.467618, 4.677709, 4.75341, 4.683718, 
    4.474182, 4.180743, 3.808552, 3.365108, 2.929566, 2.575518, 2.284122, 
    2.049623, 1.884928, 1.787285, 1.728499, 1.696777, 1.681974, 1.672184, 
    1.661699, 1.651175, 1.642193, 1.636445, 1.634175, 1.641682, 1.658749, 
    1.687136, 1.733344, 1.81137, 1.924789, 2.071927, 2.262486, 2.509617, 
    2.780117, 3.048941, 3.324075, 3.595021, 3.79711, 3.837922, 3.69886, 
    3.404166, 3.019924, 2.620035, 2.192499, 1.709976, 1.245217, 0.8611159, 
    0.6054304, 0.466939, 0.4122597, 0.3961285, 0.393292, 0.4071607, 
    0.4455784, 0.4968892, 0.5594001, 0.6350673, 0.7109827, 0.7808943, 
    0.8465741, 0.9122802, 0.9583862, 0.9796916, 0.9901442, 0.9863487, 
    0.9795502, 0.9737028, 0.9689028, 0.9653059, 0.9634029, 0.9632029, 
    0.9647502, 0.9677457, 0.9720441, 0.9779397, 0.984535, 0.9927298, 
    0.9993704, 0.9886348, 0.947757, 0.889264, 0.8354094, 0.7940013, 
    0.7599353, 0.7332038, 0.71837, 0.7209949, 0.7565622, 0.8547077, 
    0.9947174, 1.156802, 1.351808, 1.60421, 1.850907, 2.032811, 2.158704, 
    2.24088, 2.28319, 2.300072, 2.302574, 2.302765, 2.315379, 2.380942, 
    2.500394, 2.683706, 2.880141, 3.037292, 3.146891, 3.191564, 3.136593, 
    2.991589, 2.781176, 2.516295, 2.247915, 2.016961, 1.825475, 1.672526, 
    1.574512, 1.528762, 1.513827, 1.531439, 1.577407, 1.642841, 1.734197, 
    1.867225, 2.04267, 2.230922, 2.429332, 2.650762, 2.869488, 3.038642, 
    3.131444, 3.136324, 3.047858, 2.912021, 2.748169, 2.557752, 2.358432, 
    2.168079, 1.99979, 1.870609, 1.786846, 1.731557, 1.668925, 1.583457, 
    1.478523, 1.373317, 1.26809, 1.159742, 1.065771, 0.9945391, 0.9369547, 
    0.8908078, 0.8632121, 0.8533804, 0.8848274, 0.9605541, 1.052335, 
    1.144623, 1.250917, 1.377511, 1.514811, 1.629413, 1.731068, 1.783572, 
    1.80769, 1.819547, 1.823704, 1.812563, 1.789807, 1.763559, 1.746407, 
    1.741956, 1.741056,
  1.884012, 1.893112, 1.911154, 1.936591, 1.961126, 1.985665, 2.01275, 
    2.039984, 2.065124, 2.090262, 2.103496, 2.110445, 2.110445, 2.110445, 
    2.110445, 2.110445, 2.110445, 2.110445, 2.110445, 2.110445, 2.110445, 
    2.110445, 2.110445, 2.110445, 2.110445, 2.110793, 2.111445, 2.112242, 
    2.11369, 2.115138, 2.116438, 2.117731, 2.118931, 2.120478, 2.121424, 
    2.122076, 2.122424, 2.122424, 2.12287, 2.12292, 2.12292, 2.12292, 
    2.124623, 2.13002, 2.13992, 2.151225, 2.163878, 2.175682, 2.183938, 
    2.190447, 2.195706, 2.197162, 2.193471, 2.18348, 2.168686, 2.14954, 
    2.129745, 2.110644, 2.092093, 2.076893, 2.070489, 2.06828, 2.066136, 
    2.06625, 2.069263, 2.073671, 2.079376, 2.083884, 2.085536, 2.081241, 
    2.075846, 2.074032, 2.074766, 2.079701, 2.09084, 2.110037, 2.142996, 
    2.185414, 2.232444, 2.256629, 2.254116, 2.236203, 2.206539, 2.165976, 
    2.113006, 2.036926, 1.935934, 1.832142, 1.755794, 1.700094, 1.655982, 
    1.617396, 1.586301, 1.561501, 1.536381, 1.511943, 1.491852, 1.472813, 
    1.452875, 1.433551, 1.415169, 1.393625, 1.367315, 1.346868, 1.33906, 
    1.349443, 1.400359, 1.507912, 1.67346, 1.907598, 2.244978, 2.651516, 
    3.082025, 3.528995, 3.980224, 4.337378, 4.543055, 4.618904, 4.554083, 
    4.353232, 4.069441, 3.707254, 3.273921, 2.847581, 2.499925, 2.214212, 
    1.984092, 1.823165, 1.72853, 1.673443, 1.648012, 1.643442, 1.646628, 
    1.65193, 1.659892, 1.666893, 1.672073, 1.67478, 1.680007, 1.68631, 
    1.697194, 1.719609, 1.765646, 1.846082, 1.966798, 2.137592, 2.370907, 
    2.633397, 2.898193, 3.171746, 3.442901, 3.64325, 3.687714, 3.557895, 
    3.265203, 2.889256, 2.50486, 2.094221, 1.631743, 1.190275, 0.8311611, 
    0.591717, 0.4687736, 0.4383315, 0.4396924, 0.454006, 0.4866764, 0.543344, 
    0.6112057, 0.6899149, 0.7830773, 0.8742756, 0.95288, 1.023084, 1.090239, 
    1.137643, 1.159894, 1.171299, 1.168703, 1.162305, 1.157409, 1.152861, 
    1.149661, 1.147361, 1.146909, 1.147857, 1.149804, 1.153702, 1.158398, 
    1.163794, 1.170639, 1.175384, 1.155603, 1.094481, 1.012147, 0.9323084, 
    0.8640169, 0.8020253, 0.743269, 0.6956593, 0.6673548, 0.6824858, 
    0.7674422, 0.896703, 1.053177, 1.246408, 1.507824, 1.777951, 1.984581, 
    2.133459, 2.23407, 2.289255, 2.312018, 2.31235, 2.297448, 2.274318, 
    2.290389, 2.357901, 2.490062, 2.643507, 2.774009, 2.868498, 2.907382, 
    2.861521, 2.740049, 2.562255, 2.336728, 2.108104, 1.911262, 1.741004, 
    1.598579, 1.505427, 1.462749, 1.451914, 1.472978, 1.523847, 1.599085, 
    1.70549, 1.858511, 2.057994, 2.270623, 2.495863, 2.748011, 2.995499, 
    3.185954, 3.286763, 3.282617, 3.175847, 3.017517, 2.828382, 2.60853, 
    2.380084, 2.166161, 1.979563, 1.846012, 1.77381, 1.735726, 1.693106, 
    1.630191, 1.545021, 1.453276, 1.354853, 1.248314, 1.149802, 1.070272, 
    1.002632, 0.9438356, 0.9041417, 0.8848535, 0.9015976, 0.9580782, 
    1.031612, 1.107855, 1.199502, 1.322029, 1.466684, 1.595337, 1.711741, 
    1.791993, 1.847306, 1.887459, 1.919912, 1.937918, 1.93084, 1.909523, 
    1.892023, 1.886919, 1.885365,
  2.022978, 2.026792, 2.033924, 2.04161, 2.0485, 2.056089, 2.064672, 
    2.073659, 2.081748, 2.089838, 2.091923, 2.091923, 2.091923, 2.091923, 
    2.091923, 2.091923, 2.091923, 2.091923, 2.091923, 2.091923, 2.091923, 
    2.091923, 2.091923, 2.091923, 2.091923, 2.091923, 2.092823, 2.093223, 
    2.094172, 2.09512, 2.095917, 2.096569, 2.097416, 2.098264, 2.098513, 
    2.099413, 2.099413, 2.099413, 2.099413, 2.099413, 2.099413, 2.099413, 
    2.101513, 2.106513, 2.116664, 2.128564, 2.141866, 2.154467, 2.164423, 
    2.172979, 2.180234, 2.184095, 2.182451, 2.174507, 2.161615, 2.143971, 
    2.125727, 2.107131, 2.088583, 2.073232, 2.065476, 2.06122, 2.059115, 
    2.059856, 2.063951, 2.069803, 2.076858, 2.082962, 2.085465, 2.082721, 
    2.078626, 2.076033, 2.074986, 2.077081, 2.085523, 2.104978, 2.140738, 
    2.188408, 2.243133, 2.277822, 2.286363, 2.279505, 2.260495, 2.229728, 
    2.185007, 2.116137, 2.021021, 1.922903, 1.851132, 1.799309, 1.758896, 
    1.73151, 1.708814, 1.68925, 1.667344, 1.64253, 1.621314, 1.601498, 
    1.581687, 1.563672, 1.544499, 1.519722, 1.485929, 1.452282, 1.428576, 
    1.418851, 1.444556, 1.521787, 1.654154, 1.851606, 2.14728, 2.512147, 
    2.906987, 3.321789, 3.743754, 4.079449, 4.274547, 4.348233, 4.292669, 
    4.111761, 3.853029, 3.51836, 3.115105, 2.71785, 2.394578, 2.129738, 
    1.917835, 1.770306, 1.684654, 1.636792, 1.618675, 1.621397, 1.63151, 
    1.645119, 1.662325, 1.676426, 1.684266, 1.685801, 1.682664, 1.675163, 
    1.668102, 1.66873, 1.6877, 1.742329, 1.844329, 2.002697, 2.227873, 
    2.487815, 2.752015, 3.02672, 3.299375, 3.499072, 3.547536, 3.426266, 
    3.142218, 2.780316, 2.409962, 2.015465, 1.572432, 1.152404, 0.8164825, 
    0.5907748, 0.4856446, 0.4782019, 0.496713, 0.5285241, 0.580189, 
    0.6557057, 0.7407161, 0.8358741, 0.945932, 1.04489, 1.124342, 1.195394, 
    1.263697, 1.312252, 1.335356, 1.34796, 1.346161, 1.340566, 1.336618, 
    1.33267, 1.329622, 1.327322, 1.326621, 1.326969, 1.328268, 1.331363, 
    1.334859, 1.339408, 1.345054, 1.348046, 1.32309, 1.245947, 1.141524, 
    1.03749, 0.9455625, 0.858878, 0.771732, 0.6943293, 0.6379336, 0.6294855, 
    0.7000269, 0.8179857, 0.9662032, 1.153983, 1.423575, 1.713741, 1.941612, 
    2.111736, 2.23136, 2.300875, 2.331367, 2.329267, 2.299313, 2.236913, 
    2.20349, 2.219762, 2.298723, 2.407107, 2.505075, 2.578234, 2.611863, 
    2.577204, 2.477834, 2.329487, 2.138309, 1.944581, 1.777787, 1.632674, 
    1.509789, 1.429734, 1.393004, 1.386016, 1.411635, 1.469616, 1.556109, 
    1.677963, 1.850632, 2.071905, 2.306884, 2.556216, 2.834303, 3.103723, 
    3.304643, 3.403672, 3.385317, 3.258847, 3.078167, 2.864227, 2.615975, 
    2.360278, 2.125804, 1.92777, 1.795581, 1.735772, 1.715381, 1.693953, 
    1.654636, 1.592721, 1.517182, 1.42797, 1.324933, 1.224381, 1.138465, 
    1.061639, 0.9908502, 0.9394103, 0.909825, 0.9110203, 0.9485546, 1.004193, 
    1.065343, 1.142945, 1.259123, 1.403164, 1.538007, 1.666237, 1.773932, 
    1.86039, 1.929343, 1.990242, 2.037444, 2.049761, 2.041419, 2.032025, 
    2.027936, 2.025534,
  2.082443, 2.080691, 2.077939, 2.075482, 2.073681, 2.072228, 2.071026, 
    2.070775, 2.069923, 2.069423, 2.06897, 2.068919, 2.068919, 2.068567, 
    2.068416, 2.068416, 2.068416, 2.068416, 2.068416, 2.068416, 2.068416, 
    2.068416, 2.068416, 2.068416, 2.068416, 2.068416, 2.068913, 2.069565, 
    2.069913, 2.07026, 2.070912, 2.071409, 2.071658, 2.072258, 2.072459, 
    2.072906, 2.072906, 2.072906, 2.072906, 2.072906, 2.072906, 2.072906, 
    2.075006, 2.080157, 2.090657, 2.102206, 2.116259, 2.12926, 2.140664, 
    2.151021, 2.159826, 2.166032, 2.166188, 2.160044, 2.149553, 2.133911, 
    2.117215, 2.100171, 2.082526, 2.067076, 2.058225, 2.052168, 2.048563, 
    2.047258, 2.049701, 2.054945, 2.06189, 2.068289, 2.07144, 2.070395, 
    2.067599, 2.066301, 2.065953, 2.067705, 2.076213, 2.098377, 2.138497, 
    2.192973, 2.256961, 2.30451, 2.326158, 2.330997, 2.322026, 2.301009, 
    2.264034, 2.201497, 2.114972, 2.025651, 1.963135, 1.922333, 1.903291, 
    1.902809, 1.897222, 1.882118, 1.869536, 1.844498, 1.819286, 1.794065, 
    1.766624, 1.737162, 1.704343, 1.669804, 1.626631, 1.569017, 1.525336, 
    1.491446, 1.485626, 1.524835, 1.616087, 1.76752, 2.00963, 2.319486, 
    2.661586, 3.023624, 3.396273, 3.696286, 3.87271, 3.941038, 3.896375, 
    3.743174, 3.520703, 3.230727, 2.882306, 2.539078, 2.260255, 2.03285, 
    1.853776, 1.730168, 1.660429, 1.624272, 1.615352, 1.622963, 1.636523, 
    1.651827, 1.669827, 1.684278, 1.690527, 1.688014, 1.674429, 1.651776, 
    1.627872, 1.608859, 1.606996, 1.644902, 1.736681, 1.889374, 2.111778, 
    2.372289, 2.637446, 2.913802, 3.18836, 3.386553, 3.436701, 3.32272, 
    3.052011, 2.702145, 2.342825, 1.961815, 1.536117, 1.135428, 0.8202921, 
    0.6090987, 0.5227075, 0.5273338, 0.5612285, 0.6101848, 0.6802964, 
    0.7750615, 0.8774703, 0.9893268, 1.109791, 1.210495, 1.290799, 1.362351, 
    1.431654, 1.481509, 1.505813, 1.519617, 1.519124, 1.514678, 1.511078, 
    1.50783, 1.505131, 1.503285, 1.502333, 1.502081, 1.503131, 1.505178, 
    1.507826, 1.511522, 1.515565, 1.517062, 1.490306, 1.401569, 1.275897, 
    1.149075, 1.034799, 0.9240184, 0.8100303, 0.703584, 0.6199428, 0.5835495, 
    0.6366387, 0.7424467, 0.8809628, 1.066417, 1.347806, 1.655258, 1.901362, 
    2.090419, 2.22827, 2.313815, 2.35404, 2.352595, 2.30377, 2.200439, 
    2.119939, 2.08703, 2.114566, 2.177319, 2.241368, 2.291802, 2.318828, 
    2.293753, 2.216627, 2.09858, 1.942751, 1.783414, 1.64606, 1.525492, 
    1.421406, 1.35289, 1.321758, 1.318974, 1.350899, 1.418835, 1.517879, 
    1.65508, 1.846741, 2.089314, 2.346386, 2.61851, 2.91938, 3.204318, 
    3.407564, 3.497725, 3.462464, 3.314689, 3.110557, 2.870368, 2.592366, 
    2.307514, 2.052698, 1.846928, 1.718896, 1.671088, 1.667795, 1.666964, 
    1.652049, 1.613926, 1.556087, 1.47863, 1.381053, 1.280556, 1.190645, 
    1.106671, 1.026193, 0.9642612, 0.9262887, 0.913145, 0.9321335, 0.9709294, 
    1.01758, 1.084555, 1.196648, 1.338241, 1.471285, 1.602929, 1.729365, 
    1.83801, 1.927903, 2.009043, 2.072606, 2.094456, 2.094205, 2.092553, 
    2.0895, 2.086699,
  2.065948, 2.063496, 2.059842, 2.055838, 2.053435, 2.051032, 2.049029, 
    2.048126, 2.046926, 2.046073, 2.045022, 2.044771, 2.044419, 2.043719, 
    2.043419, 2.043419, 2.043419, 2.043419, 2.043419, 2.043419, 2.043419, 
    2.043419, 2.043419, 2.043419, 2.043419, 2.043419, 2.043469, 2.043916, 
    2.043916, 2.043916, 2.044363, 2.044413, 2.044413, 2.04476, 2.044909, 
    2.044909, 2.044909, 2.044909, 2.044909, 2.044909, 2.044909, 2.045262, 
    2.04706, 2.052159, 2.062406, 2.073706, 2.088256, 2.10206, 2.114413, 
    2.126065, 2.136369, 2.144628, 2.146684, 2.14244, 2.134548, 2.121357, 
    2.106464, 2.090868, 2.074924, 2.060077, 2.050726, 2.043474, 2.038118, 
    2.035313, 2.035958, 2.039402, 2.044898, 2.049991, 2.052938, 2.053091, 
    2.051545, 2.050797, 2.050697, 2.053753, 2.064912, 2.092534, 2.140013, 
    2.204301, 2.281248, 2.345258, 2.384223, 2.401466, 2.402553, 2.391184, 
    2.361607, 2.302265, 2.224951, 2.146443, 2.096743, 2.074718, 2.096478, 
    2.142062, 2.171325, 2.180637, 2.204708, 2.200681, 2.176549, 2.141154, 
    2.095828, 2.039967, 1.975429, 1.907703, 1.826077, 1.716251, 1.630859, 
    1.565845, 1.525788, 1.524361, 1.571116, 1.671748, 1.856762, 2.108522, 
    2.388614, 2.686201, 2.995887, 3.249822, 3.400177, 3.460647, 3.426931, 
    3.302322, 3.120661, 2.88585, 2.606729, 2.332259, 2.10925, 1.929267, 
    1.790305, 1.697113, 1.646729, 1.622566, 1.620632, 1.631442, 1.646794, 
    1.662845, 1.680795, 1.694791, 1.700539, 1.695434, 1.674672, 1.640347, 
    1.603716, 1.570938, 1.557272, 1.591641, 1.68321, 1.836017, 2.058665, 
    2.320059, 2.584952, 2.858578, 3.126528, 3.315878, 3.35979, 3.251508, 
    2.996018, 2.662087, 2.315994, 1.948191, 1.539501, 1.16013, 0.8692749, 
    0.6753318, 0.5991416, 0.6060312, 0.6460783, 0.706448, 0.7934985, 0.90746, 
    1.023743, 1.144547, 1.267801, 1.369756, 1.451008, 1.523512, 1.593715, 
    1.645272, 1.670776, 1.685779, 1.686581, 1.683436, 1.680792, 1.678143, 
    1.676096, 1.674747, 1.673798, 1.673198, 1.673996, 1.674992, 1.67704, 
    1.679788, 1.682134, 1.68258, 1.654024, 1.558616, 1.420203, 1.271732, 
    1.135362, 1.001088, 0.8605005, 0.7257603, 0.6142678, 0.549323, 0.576162, 
    0.6593063, 0.7871701, 0.9728178, 1.260924, 1.578489, 1.836715, 2.039299, 
    2.19109, 2.289832, 2.33987, 2.339473, 2.272527, 2.138203, 2.020154, 
    1.947248, 1.932986, 1.960045, 1.999785, 2.033943, 2.05543, 2.040119, 
    1.986098, 1.899904, 1.781329, 1.657601, 1.550051, 1.454031, 1.371056, 
    1.315105, 1.290277, 1.290985, 1.326685, 1.399381, 1.505284, 1.6525, 
    1.856974, 2.114451, 2.386629, 2.674208, 2.99034, 3.282752, 3.48193, 
    3.559989, 3.505121, 3.334344, 3.106671, 2.841192, 2.53526, 2.223384, 
    1.951889, 1.742031, 1.618796, 1.583436, 1.597241, 1.617008, 1.62583, 
    1.609497, 1.568748, 1.503839, 1.414117, 1.315979, 1.223826, 1.133759, 
    1.045083, 0.9742562, 0.9292322, 0.904147, 0.9057939, 0.929297, 0.9645705, 
    1.027167, 1.137663, 1.277961, 1.410061, 1.541817, 1.678902, 1.801347, 
    1.903939, 1.993907, 2.059608, 2.081961, 2.081461, 2.079209, 2.075508, 
    2.071904,
  2.05146, 2.048307, 2.042951, 2.038048, 2.034192, 2.030689, 2.027987, 
    2.025984, 2.02418, 2.022728, 2.021025, 2.020273, 2.019674, 2.018722, 
    2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 
    2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 
    2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 
    2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 2.018422, 2.01877, 
    2.020119, 2.024868, 2.034416, 2.045716, 2.059813, 2.073709, 2.08641, 
    2.098409, 2.110365, 2.12057, 2.124677, 2.122836, 2.117544, 2.106952, 
    2.09446, 2.080919, 2.066976, 2.054084, 2.044484, 2.036632, 2.030131, 
    2.026027, 2.025223, 2.02722, 2.030913, 2.034209, 2.036456, 2.036956, 
    2.036459, 2.035807, 2.036211, 2.040815, 2.056182, 2.092112, 2.15005, 
    2.227596, 2.321959, 2.404114, 2.456988, 2.485014, 2.497399, 2.495982, 
    2.472597, 2.413843, 2.346975, 1.93185, 1.079481, 1.074264, 1.097269, 
    1.13394, 1.859798, 2.597757, 2.669339, 2.703306, 2.696245, 2.652336, 
    2.577978, 2.482689, 2.370324, 2.241111, 2.083858, 1.899109, 1.746626, 
    1.625638, 1.54539, 1.504365, 1.506981, 1.559643, 1.694409, 1.890947, 
    2.110873, 2.34619, 2.592702, 2.796348, 2.918514, 2.970389, 2.949033, 
    2.854382, 2.717276, 2.542417, 2.335446, 2.133627, 1.970365, 1.841373, 
    1.743798, 1.680581, 1.648783, 1.635163, 1.637574, 1.650126, 1.665575, 
    1.681372, 1.698416, 1.712169, 1.717569, 1.712473, 1.690477, 1.651875, 
    1.610575, 1.573475, 1.562003, 1.605945, 1.704168, 1.859427, 2.079815, 
    2.336591, 2.593348, 2.853588, 3.102467, 3.269878, 3.300583, 3.199762, 
    2.966392, 2.659091, 2.334118, 1.987454, 1.605412, 1.256375, 0.994011, 
    0.8148987, 0.7368781, 0.7344301, 0.7684456, 0.8315437, 0.9270983, 1.0507, 
    1.172703, 1.294707, 1.419663, 1.522515, 1.60497, 1.678674, 1.750179, 
    1.803031, 1.829986, 1.846441, 1.848548, 1.846702, 1.845253, 1.843457, 
    1.842461, 1.841362, 1.840763, 1.840163, 1.840461, 1.840811, 1.842259, 
    1.843704, 1.845051, 1.844097, 1.813741, 1.716185, 1.573421, 1.411203, 
    1.25565, 1.097624, 0.9294362, 0.7653906, 0.6253014, 0.5296514, 0.5221442, 
    0.5772713, 0.6907164, 0.8692747, 1.150476, 1.463735, 1.723067, 1.93132, 
    2.093948, 2.203475, 2.259878, 2.262393, 2.192317, 2.046417, 1.909142, 
    1.811036, 1.768418, 1.772008, 1.795163, 1.817982, 1.836476, 1.832409, 
    1.800974, 1.746117, 1.665785, 1.578344, 1.499375, 1.427046, 1.364602, 
    1.321284, 1.301544, 1.303495, 1.338087, 1.408275, 1.513016, 1.662917, 
    1.871871, 2.133271, 2.408764, 2.698248, 3.014921, 3.303285, 3.490885, 
    3.554937, 3.480279, 3.288119, 3.041421, 2.757984, 2.434655, 2.107584, 
    1.829586, 1.621253, 1.503724, 1.480662, 1.510459, 1.54866, 1.578169, 
    1.581125, 1.555671, 1.50326, 1.423243, 1.32986, 1.237512, 1.143756, 
    1.048591, 0.9712254, 0.9207142, 0.8887551, 0.8764693, 0.8876879, 
    0.9186363, 0.9803847, 1.090234, 1.230033, 1.362636, 1.49594, 1.6399, 
    1.775387, 1.88796, 1.981615, 2.048119, 2.070969, 2.070469, 2.067869, 
    2.063868, 2.058763,
  2.041479, 2.037275, 2.03007, 2.024116, 2.018712, 2.014009, 2.010002, 
    2.006698, 2.003695, 2.001391, 1.99904, 1.997638, 1.996434, 1.995586, 
    1.994984, 1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 
    1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 
    1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 
    1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 1.994934, 
    1.995631, 1.999728, 2.008425, 2.01887, 2.031866, 2.045065, 2.057413, 
    2.069061, 2.08186, 2.093364, 2.099419, 2.100578, 2.09849, 2.090699, 
    2.081209, 2.07102, 2.059579, 2.049236, 2.040491, 2.032794, 2.026044, 
    2.020891, 2.019239, 2.020036, 2.021982, 2.023928, 2.025224, 2.025473, 
    2.025423, 2.024976, 2.025976, 2.032584, 2.053501, 2.099935, 2.171581, 
    2.265284, 2.381554, 2.483621, 2.544797, 2.582882, 2.607422, 2.617007, 
    2.599175, 2.537914, 1.3262, 0.8213873, 0, 0, 1.284669, 1.516352, 
    2.282333, 3.052626, 3.162832, 3.239575, 3.261966, 3.220942, 3.114402, 
    2.971752, 2.803324, 2.603707, 2.366018, 2.102334, 1.876418, 1.680949, 
    1.540279, 1.459561, 1.423257, 1.438061, 1.534209, 1.68675, 1.856064, 
    2.035857, 2.223584, 2.379798, 2.476526, 2.520453, 2.511887, 2.448278, 
    2.353745, 2.236859, 2.101116, 1.970371, 1.864987, 1.783018, 1.723577, 
    1.685347, 1.667833, 1.661849, 1.666955, 1.679503, 1.693848, 1.708192, 
    1.723989, 1.737184, 1.742836, 1.739039, 1.718896, 1.681355, 1.641614, 
    1.608538, 1.609686, 1.668083, 1.775264, 1.934228, 2.150968, 2.396875, 
    2.637923, 2.877205, 3.097753, 3.234706, 3.251365, 3.158183, 2.950007, 
    2.676917, 2.380414, 2.061146, 1.714001, 1.400254, 1.163777, 0.9951537, 
    0.90988, 0.8913798, 0.9114294, 0.9707084, 1.068014, 1.192971, 1.316175, 
    1.439731, 1.566133, 1.670289, 1.753941, 1.828846, 1.90205, 1.955955, 
    1.984711, 2.002614, 2.006469, 2.005672, 2.004723, 2.004127, 2.003877, 
    2.002977, 2.002729, 2.002481, 2.002028, 2.002126, 2.002723, 2.002972, 
    2.003469, 2.000964, 1.968456, 1.868397, 1.721335, 1.553368, 1.387405, 
    1.214087, 1.027511, 0.8436332, 0.6835488, 0.5658121, 0.5320072, 
    0.5647932, 0.65556, 0.8110622, 1.063285, 1.349111, 1.590622, 1.789462, 
    1.950275, 2.063018, 2.122283, 2.133269, 2.076274, 1.942899, 1.809245, 
    1.704257, 1.647538, 1.635451, 1.645918, 1.659894, 1.67669, 1.67945, 
    1.663682, 1.632182, 1.582805, 1.52538, 1.4712, 1.419808, 1.372747, 
    1.337565, 1.319818, 1.320962, 1.352501, 1.418235, 1.518518, 1.66394, 
    1.865492, 2.11482, 2.37579, 2.648303, 2.944557, 3.210257, 3.372402, 
    3.41663, 3.327046, 3.124843, 2.874316, 2.591605, 2.272106, 1.951263, 
    1.684277, 1.491152, 1.386256, 1.375494, 1.418981, 1.472273, 1.51907, 
    1.538062, 1.525898, 1.485382, 1.415058, 1.327929, 1.237236, 1.14304, 
    1.04549, 0.964785, 0.912485, 0.8787329, 0.8603305, 0.8639652, 0.8937094, 
    0.954958, 1.064305, 1.203604, 1.336452, 1.470352, 1.616305, 1.75866, 
    1.877224, 1.972328, 2.040082, 2.063636, 2.063488, 2.060888, 2.056335, 
    2.050134,
  2.036994, 2.032094, 2.023139, 2.015684, 2.008729, 2.002825, 1.997021, 
    1.991915, 1.987962, 1.98471, 1.982009, 1.979857, 1.977705, 1.976602, 
    1.976003, 1.975803, 1.975451, 1.975451, 1.975451, 1.975451, 1.975451, 
    1.975451, 1.975451, 1.975451, 1.975451, 1.975451, 1.975451, 1.9753, 
    1.974948, 1.974948, 1.974898, 1.974445, 1.974445, 1.974445, 1.973992, 
    1.973942, 1.973942, 1.973942, 1.973942, 1.973942, 1.974193, 1.974445, 
    1.974595, 1.97744, 1.984685, 1.993329, 2.004925, 2.017271, 2.028667, 
    2.039716, 2.052366, 2.064315, 2.072422, 2.076329, 2.077537, 2.073601, 
    2.06746, 2.060618, 2.05253, 2.044687, 2.037743, 2.031146, 2.024548, 
    2.0194, 2.0175, 2.017348, 2.018045, 2.019143, 2.019491, 2.019491, 
    2.019441, 2.019139, 2.020994, 2.030201, 2.058276, 2.116714, 2.204613, 
    2.317373, 2.458397, 2.585076, 2.656862, 2.708356, 2.748357, 2.771452, 
    2.762033, 2.699033, 0.267803, 0, 0, 1.053968, 2.884955, 3.238036, 
    3.405132, 3.532652, 3.67026, 3.787707, 3.833153, 3.797006, 3.66575, 
    3.469183, 3.236482, 2.964573, 2.647644, 2.307226, 2.010876, 1.744275, 
    1.530614, 1.406175, 1.34302, 1.336941, 1.407642, 1.530273, 1.665557, 
    1.805025, 1.949339, 2.069109, 2.147019, 2.187522, 2.189952, 2.15322, 
    2.093207, 2.020606, 1.940479, 1.866059, 1.807168, 1.7612, 1.729104, 
    1.70874, 1.70061, 1.698768, 1.704868, 1.716414, 1.728859, 1.741303, 
    1.755949, 1.768048, 1.773596, 1.770748, 1.752502, 1.718263, 1.682124, 
    1.658255, 1.676155, 1.750452, 1.867278, 2.02888, 2.240359, 2.472471, 
    2.695416, 2.912402, 3.102323, 3.210098, 3.21517, 3.129295, 2.947728, 
    2.712743, 2.44924, 2.156666, 1.842304, 1.558428, 1.342276, 1.181043, 
    1.086964, 1.051213, 1.053408, 1.10604, 1.204994, 1.331898, 1.456654, 
    1.576477, 1.694124, 1.790172, 1.865723, 1.932522, 1.996766, 2.041961, 
    2.062257, 2.071705, 2.073942, 2.073642, 2.072942, 2.07259, 2.072339, 
    2.071439, 2.071188, 2.070936, 2.070036, 2.069936, 2.069936, 2.069936, 
    2.069484, 2.067491, 2.039977, 1.945619, 1.804867, 1.642415, 1.481656, 
    1.312146, 1.128337, 0.9459213, 0.7825352, 0.6551646, 0.6048218, 
    0.6160084, 0.6788267, 0.8007768, 1.009397, 1.252419, 1.462372, 1.639806, 
    1.787466, 1.897607, 1.963279, 1.990489, 1.957978, 1.856238, 1.746381, 
    1.655753, 1.602943, 1.588062, 1.593514, 1.602458, 1.616195, 1.619488, 
    1.609743, 1.589157, 1.556133, 1.516614, 1.47859, 1.440913, 1.40303, 
    1.371936, 1.353882, 1.351567, 1.377043, 1.435968, 1.527786, 1.660188, 
    1.839909, 2.05865, 2.28543, 2.521302, 2.775903, 2.997344, 3.116597, 
    3.133006, 3.03157, 2.832592, 2.595296, 2.333529, 2.041639, 1.751512, 
    1.518496, 1.359321, 1.279261, 1.284719, 1.340806, 1.407041, 1.467073, 
    1.498001, 1.495422, 1.463439, 1.400909, 1.319321, 1.231731, 1.13959, 
    1.043799, 0.9628029, 0.9107543, 0.8772578, 0.8607711, 0.8665983, 
    0.8980637, 0.9578567, 1.065952, 1.204398, 1.336546, 1.470094, 1.615338, 
    1.756425, 1.872748, 1.967392, 2.036597, 2.061451, 2.062003, 2.059755, 
    2.054453, 2.047701,
  2.038514, 2.03291, 2.022557, 2.0129, 2.004497, 1.997142, 1.989587, 
    1.983135, 1.978232, 1.974028, 1.970475, 1.967372, 1.965223, 1.963423, 
    1.962922, 1.96232, 1.961972, 1.961972, 1.961972, 1.961972, 1.961972, 
    1.961972, 1.961972, 1.961972, 1.961721, 1.961469, 1.961419, 1.960667, 
    1.959966, 1.959614, 1.958911, 1.95781, 1.957458, 1.957106, 1.956457, 
    1.955955, 1.955955, 1.955955, 1.955955, 1.956106, 1.956707, 1.957307, 
    1.957558, 1.959507, 1.964952, 1.971798, 1.981894, 1.992488, 2.002684, 
    2.012881, 2.024878, 2.036627, 2.046179, 2.052234, 2.056141, 2.055999, 
    2.053461, 2.04987, 2.04543, 2.040288, 2.035494, 2.030701, 2.025105, 
    2.021059, 2.019511, 2.019011, 2.019061, 2.019508, 2.019508, 2.019508, 
    2.019006, 2.018808, 2.022011, 2.034674, 2.071599, 2.144142, 2.24914, 
    2.382497, 2.54942, 2.707066, 2.800201, 2.867748, 2.928766, 2.971432, 
    2.977941, 1.854652, 0.1376768, 0, 0, 1.042048, 3.308737, 3.743983, 
    3.932108, 4.072262, 4.218505, 4.356576, 3.226303, 2.029303, 3.981579, 
    3.962574, 3.659173, 3.314468, 2.918949, 2.504245, 2.140109, 1.806076, 
    1.52083, 1.344273, 1.261517, 1.246696, 1.304521, 1.412053, 1.533941, 
    1.658286, 1.786177, 1.891573, 1.96393, 2.010059, 2.025905, 2.010156, 
    1.973855, 1.925998, 1.875294, 1.831289, 1.799034, 1.774122, 1.7565, 
    1.746423, 1.743383, 1.743486, 1.749736, 1.75933, 1.769623, 1.780268, 
    1.792609, 1.803906, 1.809106, 1.806958, 1.791067, 1.760326, 1.72864, 
    1.714817, 1.749059, 1.837996, 1.962263, 2.123961, 2.328391, 2.546401, 
    2.751653, 2.948855, 3.114445, 3.200647, 3.199489, 3.124878, 2.972813, 
    2.77672, 2.54631, 2.279129, 1.992398, 1.73045, 1.528282, 1.370183, 
    1.265953, 1.211247, 1.194645, 1.240726, 1.34098, 1.467222, 1.585078, 
    1.691731, 1.791431, 1.868878, 1.927631, 1.976932, 2.02218, 2.048377, 
    2.054198, 2.054447, 2.054397, 2.053795, 2.053195, 2.052244, 2.051392, 
    2.050291, 2.049439, 2.048939, 2.048038, 2.047788, 2.047436, 2.047436, 
    2.046938, 2.045836, 2.026698, 1.945984, 1.821428, 1.67643, 1.53188, 
    1.37823, 1.210732, 1.043383, 0.8903267, 0.7627954, 0.7033859, 0.696144, 
    0.7317206, 0.8183698, 0.9800833, 1.176446, 1.349986, 1.501154, 1.633306, 
    1.739945, 1.813366, 1.86057, 1.859661, 1.797476, 1.721726, 1.658209, 
    1.622113, 1.614485, 1.620637, 1.628185, 1.638026, 1.639472, 1.630371, 
    1.613227, 1.586387, 1.554851, 1.523665, 1.492126, 1.459389, 1.430646, 
    1.41245, 1.407549, 1.425983, 1.475002, 1.554614, 1.668156, 1.817915, 
    1.997048, 2.179718, 2.368328, 2.56907, 2.736522, 2.806388, 2.787379, 
    2.669471, 2.476635, 2.259545, 2.028134, 1.777408, 1.532844, 1.345268, 
    1.230848, 1.187113, 1.216391, 1.28588, 1.362354, 1.430971, 1.468229, 
    1.470687, 1.443397, 1.386359, 1.309875, 1.226237, 1.137699, 1.045259, 
    0.9666184, 0.9160251, 0.8850357, 0.8754614, 0.8911905, 0.9301173, 
    0.9903765, 1.096218, 1.230147, 1.361344, 1.49394, 1.637085, 1.771711, 
    1.879288, 1.968664, 2.038563, 2.064768, 2.066271, 2.06427, 2.058469, 
    2.050917,
  2.046027, 2.039727, 2.027972, 2.016117, 2.006514, 1.99761, 1.988205, 
    1.980852, 1.974749, 1.969345, 1.964944, 1.960892, 1.95874, 1.956589, 
    1.955487, 1.954989, 1.954989, 1.954989, 1.954989, 1.954989, 1.954989, 
    1.954989, 1.954989, 1.954838, 1.954238, 1.953637, 1.952934, 1.951684, 
    1.950732, 1.949781, 1.948029, 1.946678, 1.945727, 1.944776, 1.943923, 
    1.942973, 1.942722, 1.94247, 1.942923, 1.943273, 1.944224, 1.945176, 
    1.946028, 1.947577, 1.951222, 1.956267, 1.96441, 1.973055, 1.9817, 
    1.990697, 2.000991, 2.011987, 2.021938, 2.030145, 2.036652, 2.039409, 
    2.040468, 2.040126, 2.039387, 2.037547, 2.035505, 2.03276, 2.029518, 
    2.026721, 2.025773, 2.025524, 2.025524, 2.025524, 2.025524, 2.025524, 
    2.024624, 2.024975, 2.02953, 2.04634, 2.093018, 2.181362, 2.304162, 
    2.458469, 2.651389, 2.843431, 2.974504, 3.06845, 3.157284, 3.228927, 
    3.26513, 0.9808272, 0, 0, 0, 0, 3.700035, 4.351646, 4.536957, 4.668005, 
    4.80285, 4.941634, 3.80658, 2.611245, 4.520822, 4.452163, 4.080639, 
    3.661838, 3.187373, 2.699426, 2.269099, 1.870979, 1.519412, 1.287515, 
    1.178276, 1.154498, 1.205536, 1.306719, 1.424709, 1.549014, 1.677928, 
    1.786851, 1.865528, 1.922861, 1.95606, 1.959262, 1.940711, 1.909207, 
    1.872891, 1.842369, 1.822092, 1.807762, 1.798429, 1.79449, 1.794648, 
    1.795851, 1.802101, 1.809747, 1.81764, 1.825882, 1.835626, 1.844768, 
    1.849616, 1.847816, 1.834119, 1.806879, 1.77964, 1.775516, 1.824002, 
    1.925585, 2.055499, 2.216547, 2.414029, 2.618998, 2.808659, 2.990624, 
    3.137681, 3.209199, 3.207051, 3.147545, 3.026329, 2.86617, 2.661321, 
    2.416927, 2.152933, 1.907723, 1.714993, 1.556188, 1.439902, 1.365399, 
    1.333869, 1.376569, 1.476866, 1.594125, 1.69578, 1.785887, 1.867839, 
    1.927142, 1.968846, 2.001101, 2.02765, 2.037111, 2.03746, 2.03746, 
    2.036907, 2.035806, 2.034954, 2.033754, 2.032002, 2.030501, 2.028949, 
    2.028097, 2.026996, 2.026144, 2.025444, 2.025092, 2.024388, 2.022838, 
    2.005938, 1.935509, 1.828008, 1.702062, 1.575862, 1.440562, 1.292718, 
    1.144723, 1.008823, 0.8939232, 0.8358393, 0.8188269, 0.8353449, 
    0.8934883, 1.013193, 1.16584, 1.305262, 1.429999, 1.546109, 1.646385, 
    1.723133, 1.782395, 1.806442, 1.778215, 1.732078, 1.692226, 1.671105, 
    1.668662, 1.674408, 1.679446, 1.686137, 1.685832, 1.676883, 1.66199, 
    1.639001, 1.612565, 1.586429, 1.559945, 1.531858, 1.506771, 1.490729, 
    1.48588, 1.500625, 1.540506, 1.607172, 1.700068, 1.817381, 1.953562, 
    2.08853, 2.225588, 2.36868, 2.47992, 2.503197, 2.448812, 2.311363, 
    2.125839, 1.933665, 1.737669, 1.531842, 1.336526, 1.194652, 1.122756, 
    1.116648, 1.172266, 1.252435, 1.333638, 1.404886, 1.443837, 1.448441, 
    1.424348, 1.37151, 1.300724, 1.222241, 1.138505, 1.050721, 0.9760329, 
    0.9287945, 0.9015042, 0.9010786, 0.9279608, 0.9761347, 1.042509, 
    1.143943, 1.269116, 1.396348, 1.527444, 1.670046, 1.797932, 1.898065, 
    1.979645, 2.045926, 2.07343, 2.075781, 2.074284, 2.068385, 2.059782,
  2.059042, 2.052038, 2.038584, 2.025683, 2.014529, 2.004074, 1.993221, 
    1.984568, 1.977264, 1.970661, 1.965458, 1.960757, 1.958005, 1.955605, 
    1.954105, 1.954005, 1.954005, 1.954005, 1.954005, 1.954005, 1.954005, 
    1.954005, 1.953955, 1.953353, 1.952754, 1.951803, 1.950503, 1.949052, 
    1.947249, 1.945797, 1.943547, 1.941544, 1.939741, 1.93829, 1.93699, 
    1.935839, 1.935238, 1.93499, 1.935488, 1.936289, 1.93749, 1.93869, 
    1.940492, 1.942446, 1.944995, 1.947888, 1.953934, 1.960478, 1.966971, 
    1.974517, 1.983013, 1.992208, 2.001704, 2.011205, 2.020161, 2.025818, 
    2.030479, 2.03374, 2.036448, 2.038307, 2.039264, 2.039174, 2.038479, 
    2.037535, 2.037539, 2.037539, 2.037539, 2.037539, 2.037539, 2.037539, 
    2.036639, 2.037139, 2.043041, 2.064355, 2.121934, 2.227381, 2.368428, 
    2.54343, 2.76275, 2.988336, 3.156712, 3.279921, 3.401409, 2.950619, 
    1.704838, 0.5133168, 0, 0, 0, 0, 4.300091, 5.002851, 5.164869, 5.269834, 
    5.379103, 5.510682, 5.529184, 5.466105, 5.26907, 4.927405, 4.494804, 
    4.002667, 3.449264, 2.888376, 2.393058, 1.934155, 1.52351, 1.242144, 
    1.100813, 1.063821, 1.109506, 1.205846, 1.32074, 1.445086, 1.579148, 
    1.696772, 1.786051, 1.856789, 1.907683, 1.930284, 1.929479, 1.915375, 
    1.894121, 1.873846, 1.861114, 1.853279, 1.849793, 1.849752, 1.852659, 
    1.855213, 1.861463, 1.867308, 1.872902, 1.878145, 1.885085, 1.891328, 
    1.894873, 1.892822, 1.880275, 1.856282, 1.833143, 1.836255, 1.896934, 
    2.010013, 2.145729, 2.306279, 2.496911, 2.691838, 2.86891, 3.038982, 
    3.173256, 3.234183, 3.232835, 3.188471, 3.090209, 2.955303, 2.768247, 
    2.543042, 2.29849, 2.067675, 1.882646, 1.722796, 1.594669, 1.509967, 
    1.472615, 1.515064, 1.60818, 1.709034, 1.794493, 1.868753, 1.932856, 
    1.974409, 1.999316, 2.015124, 2.024282, 2.025476, 2.025477, 2.025125, 
    2.023974, 2.022674, 2.021223, 2.01942, 2.017471, 2.015369, 2.013217, 
    2.011414, 2.009511, 2.008161, 2.006958, 2.005756, 2.004456, 2.002705, 
    1.985453, 1.923779, 1.834576, 1.728227, 1.620625, 1.503923, 1.376274, 
    1.062061, 0.8202156, 1.034923, 0.9829392, 0.9631366, 0.9721283, 1.015757, 
    1.109112, 1.231705, 1.346703, 1.452967, 1.556591, 1.648923, 1.722107, 
    1.781998, 1.815703, 1.80613, 1.777159, 1.750632, 1.735787, 1.733079, 
    1.735918, 1.737008, 1.740249, 1.738195, 1.729897, 1.717754, 1.698614, 
    1.677428, 1.656441, 1.635102, 1.612318, 1.591679, 1.578737, 1.574891, 
    1.588339, 1.621974, 1.676192, 1.751051, 1.841295, 1.940416, 2.034932, 
    2.128042, 2.220882, 2.281172, 2.263527, 2.183274, 2.035217, 1.861302, 
    1.694309, 1.530124, 1.361952, 1.208189, 1.106124, 1.068452, 1.08855, 
    1.157755, 1.23849, 1.315717, 1.383048, 1.420489, 1.425438, 1.403089, 
    1.354551, 1.289215, 1.216982, 1.139852, 1.059174, 0.9905939, 0.9475546, 
    0.9248189, 0.9341459, 0.972374, 1.029899, 1.105273, 1.207342, 1.323872, 
    1.444153, 1.573197, 1.715544, 1.836672, 1.92935, 2.003128, 2.061304, 
    2.085735, 2.089039, 2.088491, 2.083294, 2.073993,
  2.076548, 2.068848, 2.054597, 2.040895, 2.028291, 2.016388, 2.004185, 
    1.99393, 1.985779, 1.978328, 1.972025, 1.966623, 1.963271, 1.96062, 
    1.95912, 1.95902, 1.95902, 1.95902, 1.95902, 1.95902, 1.95902, 1.95902, 
    1.95892, 1.95802, 1.95752, 1.955968, 1.954467, 1.952415, 1.950015, 
    1.947963, 1.94506, 1.942259, 1.939508, 1.937808, 1.936055, 1.934705, 
    1.934005, 1.934005, 1.934105, 1.935305, 1.936756, 1.938208, 1.940558, 
    1.94361, 1.946261, 1.948564, 1.952508, 1.956904, 1.961249, 1.966994, 
    1.973538, 1.980783, 1.988729, 1.997726, 2.007424, 2.016735, 2.025244, 
    2.032705, 2.039015, 2.044575, 2.048784, 2.051941, 2.05395, 2.054853, 
    2.055553, 2.055553, 2.055553, 2.055553, 2.055553, 2.055553, 2.054653, 
    2.055153, 2.062558, 2.089221, 2.158351, 2.281244, 2.440691, 2.636193, 
    2.88206, 3.140642, 3.344748, 3.509348, 3.675135, 2.658525, 0, 0, 0, 0, 0, 
    0, 2.290644, 3.531827, 5.687564, 5.787922, 5.890315, 6.031935, 6.066061, 
    5.995451, 5.763308, 5.375487, 4.88871, 4.32875, 3.698108, 3.065732, 
    2.509286, 1.995206, 1.533139, 1.210091, 1.038618, 0.9823112, 1.019785, 
    1.112627, 1.224518, 1.346561, 1.485875, 1.613351, 1.714332, 1.799568, 
    1.867862, 1.90951, 1.926002, 1.929547, 1.925489, 1.914662, 1.908377, 
    1.90594, 1.907251, 1.910709, 1.915663, 1.919917, 1.925413, 1.929359, 
    1.932402, 1.934744, 1.938136, 1.941226, 1.942621, 1.939818, 1.928371, 
    1.907178, 1.888138, 1.89605, 1.966873, 2.090298, 2.23146, 2.391155, 
    2.57529, 2.761418, 2.928394, 3.088019, 3.213148, 3.265327, 3.26307, 
    3.22758, 3.142911, 3.025104, 2.855449, 2.647643, 2.421188, 2.204826, 
    2.028851, 1.871063, 1.739521, 1.654321, 1.613103, 1.647112, 1.724566, 
    1.807571, 1.877181, 1.935238, 1.981795, 2.005803, 2.014764, 2.018846, 
    2.019443, 2.019492, 2.019492, 2.018792, 2.017442, 2.015539, 2.013487, 
    2.011087, 2.008935, 2.006234, 2.003231, 2.00058, 1.99803, 1.996027, 
    1.994226, 1.992426, 1.990472, 1.98807, 1.973987, 1.92563, 1.855127, 
    1.767925, 1.678671, 1.579965, 1.472316, 1.180148, 0.9579149, 1.182883, 
    1.134334, 1.114486, 1.121635, 1.16028, 1.240207, 1.34246, 1.438766, 
    1.531231, 1.624906, 1.710189, 1.776671, 1.830901, 1.862334, 1.859191, 
    1.839661, 1.821179, 1.80763, 1.801873, 1.800412, 1.797903, 1.797896, 
    1.794845, 1.788151, 1.779008, 1.764623, 1.748786, 1.732949, 1.716765, 
    1.699276, 1.683088, 1.672743, 1.670447, 1.683095, 1.711231, 1.754457, 
    1.81412, 1.884375, 1.957671, 2.02602, 2.090514, 2.150002, 2.176237, 
    2.131292, 2.036671, 1.891642, 1.732583, 1.585879, 1.442672, 1.298769, 
    1.170413, 1.092553, 1.076637, 1.107143, 1.171413, 1.241274, 1.306586, 
    1.364255, 1.395584, 1.398425, 1.376776, 1.332135, 1.273003, 1.208224, 
    1.139596, 1.068675, 1.0091, 0.9715678, 0.9546833, 0.9745601, 1.023437, 
    1.090661, 1.175033, 1.285306, 1.397453, 1.510183, 1.634817, 1.771894, 
    1.885075, 1.969354, 2.034733, 2.083258, 2.100038, 2.10454, 2.105194, 
    2.100796, 2.091999,
  2.098058, 2.090358, 2.076008, 2.061256, 2.047805, 2.034702, 2.021148, 
    2.009145, 2.000041, 1.991989, 1.984637, 1.978988, 1.975036, 1.972136, 
    1.970184, 1.970034, 1.970034, 1.970034, 1.970034, 1.970034, 1.970034, 
    1.970034, 1.969934, 1.968883, 1.968031, 1.966483, 1.964482, 1.961781, 
    1.959029, 1.956277, 1.952124, 1.948773, 1.945773, 1.94347, 1.941521, 
    1.939719, 1.938768, 1.938517, 1.939069, 1.94047, 1.942271, 1.944071, 
    1.947024, 1.950273, 1.953775, 1.957278, 1.960129, 1.96378, 1.967531, 
    1.972683, 1.978586, 1.985338, 1.993041, 2.001441, 2.011696, 2.023899, 
    2.034802, 2.045005, 2.054058, 2.062211, 2.068563, 2.073515, 2.076963, 
    2.078866, 2.079565, 2.079565, 2.079565, 2.079565, 2.079565, 2.079565, 
    2.078665, 2.079165, 2.088319, 2.120934, 2.202114, 2.341604, 2.519447, 
    2.735798, 3.007509, 3.29929, 3.54499, 3.757427, 3.96334, 2.88203, 0, 0, 
    0, 0, 0, 0, 0, 1.834743, 6.173074, 6.289496, 6.399291, 6.539768, 
    6.576458, 6.493809, 6.223967, 5.786996, 5.251331, 4.633757, 3.932951, 
    3.235104, 2.624784, 2.063831, 1.559038, 1.200259, 1.001949, 0.9219393, 
    0.9430854, 1.029965, 1.137552, 1.256344, 1.397439, 1.534711, 1.64784, 
    1.746972, 1.832915, 1.893361, 1.927254, 1.948195, 1.961589, 1.962172, 
    1.961636, 1.963896, 1.968753, 1.975159, 1.981914, 1.987265, 1.991412, 
    1.993105, 1.993148, 1.992139, 1.991176, 1.990467, 1.98936, 1.985457, 
    1.975411, 1.957219, 1.942631, 1.955343, 2.033355, 2.163966, 2.307918, 
    2.464809, 2.641588, 2.817962, 2.975338, 3.125366, 3.242146, 3.287735, 
    3.28328, 3.252243, 3.181581, 3.082228, 2.931174, 2.741269, 2.533466, 
    2.332956, 2.168337, 2.017711, 1.889619, 1.797185, 1.744296, 1.761755, 
    1.820559, 1.885314, 1.938372, 1.979883, 2.009241, 2.01831, 2.019258, 
    2.019507, 2.019507, 2.019507, 2.019256, 2.018305, 2.016905, 2.014405, 
    2.012005, 2.009253, 2.006, 2.002598, 1.998998, 1.995746, 1.992945, 
    1.989893, 1.987741, 1.985239, 1.982488, 1.979437, 1.972002, 1.940091, 
    1.888135, 1.820082, 1.748926, 1.667969, 1.579814, 1.492061, 1.411105, 
    1.336073, 1.287873, 1.268624, 1.275624, 1.313073, 1.385359, 1.468964, 
    1.547771, 1.625886, 1.709109, 1.78689, 1.846172, 1.892503, 1.916332, 
    1.913477, 1.901143, 1.889509, 1.878821, 1.870817, 1.865409, 1.859652, 
    1.857498, 1.854449, 1.850406, 1.845318, 1.836582, 1.826145, 1.815708, 
    1.80492, 1.792333, 1.780844, 1.773001, 1.771803, 1.783349, 1.806136, 
    1.839211, 1.884175, 1.936683, 1.990038, 2.039546, 2.084505, 2.122964, 
    2.128274, 2.069652, 1.97256, 1.839497, 1.697591, 1.568532, 1.441921, 
    1.314354, 1.201337, 1.135657, 1.128416, 1.156549, 1.207413, 1.260319, 
    1.308673, 1.351531, 1.372301, 1.370186, 1.34778, 1.305835, 1.252496, 
    1.194459, 1.135383, 1.077117, 1.029349, 1.000324, 0.9915984, 1.022476, 
    1.081851, 1.158674, 1.251946, 1.367499, 1.47925, 1.587699, 1.705582, 
    1.8316, 1.935323, 2.010599, 2.066273, 2.104246, 2.117046, 2.122297, 
    2.124048, 2.120853, 2.113658,
  2.122558, 2.11521, 2.100559, 2.085761, 2.072061, 2.058009, 2.043608, 
    2.030356, 2.020305, 2.011302, 2.003201, 1.997198, 1.992547, 1.989647, 
    1.987247, 1.987047, 1.987047, 1.987047, 1.987047, 1.987047, 1.987047, 
    1.987047, 1.986947, 1.985747, 1.984547, 1.982995, 1.980494, 1.977142, 
    1.973791, 1.97044, 1.96559, 1.961287, 1.958035, 1.955135, 1.952983, 
    1.950733, 1.949533, 1.949033, 1.950033, 1.951633, 1.953784, 1.955935, 
    1.959485, 1.963088, 1.96754, 1.97164, 1.975544, 1.979445, 1.983796, 
    1.989547, 1.996549, 2.004152, 2.012803, 2.021806, 2.033206, 2.046709, 
    2.058812, 2.069863, 2.080015, 2.089016, 2.096068, 2.101368, 2.10502, 
    2.10737, 2.10807, 2.108422, 2.108572, 2.108572, 2.108321, 2.10807, 
    2.10717, 2.10767, 2.118324, 2.156987, 2.249863, 2.405149, 2.600187, 
    2.83618, 3.132838, 3.456409, 3.742703, 3.991187, 4.222847, 3.78585, 
    1.181503, 0, 0, 0, 0, 0, 0.34355, 4.407908, 6.735603, 6.852435, 6.933455, 
    7.03645, 7.044776, 6.935146, 6.631327, 6.149032, 5.570441, 4.908906, 
    4.154354, 3.401438, 2.745039, 2.145005, 1.60493, 1.21712, 0.9957699, 
    0.8916649, 0.8888046, 0.9613577, 1.062841, 1.176927, 1.315118, 1.458275, 
    1.582348, 1.694879, 1.798018, 1.877212, 1.928502, 1.966492, 1.997783, 
    2.011312, 2.015119, 2.018214, 2.022655, 2.027793, 2.033082, 2.036271, 
    2.037309, 2.03575, 2.033798, 2.031149, 2.028654, 2.02726, 2.026317, 
    2.024328, 2.017992, 2.005059, 1.995873, 2.013987, 2.096647, 2.228944, 
    2.370882, 2.520859, 2.686427, 2.849891, 2.996012, 3.135835, 3.243311, 
    3.283246, 3.277193, 3.252259, 3.198301, 3.120908, 2.991112, 2.821765, 
    2.634768, 2.452665, 2.302804, 2.16484, 2.037184, 1.931254, 1.862267, 
    1.862927, 1.903085, 1.949292, 1.985101, 2.010413, 2.023326, 2.024821, 
    2.025521, 2.025521, 2.025521, 2.025521, 2.025021, 2.023821, 2.021969, 
    2.019419, 2.016768, 2.013417, 2.009466, 2.005114, 2.001263, 1.997412, 
    1.993909, 1.989907, 1.987256, 1.983905, 1.980502, 1.976951, 1.972751, 
    1.953523, 1.919716, 1.87091, 1.81715, 1.753589, 1.684736, 1.614372, 
    1.545285, 1.477251, 1.425735, 1.400808, 1.402232, 1.437271, 1.499237, 
    1.564595, 1.628617, 1.696152, 1.770536, 1.84077, 1.893556, 1.934449, 
    1.94973, 1.949044, 1.94331, 1.938275, 1.933089, 1.928056, 1.92387, 
    1.920036, 1.918141, 1.916546, 1.915655, 1.915114, 1.911626, 1.90699, 
    1.901952, 1.896215, 1.889279, 1.882591, 1.877748, 1.87745, 1.886542, 
    1.902071, 1.923441, 1.953204, 1.988163, 2.023672, 2.056033, 2.084193, 
    2.105654, 2.09768, 2.03443, 1.944254, 1.827645, 1.704491, 1.593084, 
    1.483778, 1.37232, 1.272953, 1.215722, 1.20992, 1.229296, 1.265562, 
    1.300622, 1.328671, 1.352422, 1.359286, 1.349214, 1.324106, 1.283056, 
    1.233412, 1.179721, 1.130594, 1.086628, 1.052259, 1.033584, 1.036264, 
    1.078039, 1.148114, 1.234185, 1.336356, 1.453158, 1.565108, 1.672706, 
    1.78379, 1.796292, 1.285054, 2.052098, 2.096622, 2.124149, 2.136698, 
    2.142298, 2.144398, 2.142852, 2.137305,
  2.147557, 2.140908, 2.126611, 2.11211, 2.098059, 2.083659, 2.068607, 
    2.054856, 2.044306, 2.034806, 2.026204, 2.019705, 2.015056, 2.011805, 
    2.010158, 2.010059, 2.010059, 2.010059, 2.010059, 2.010059, 2.010059, 
    2.010059, 2.009959, 2.008759, 2.007308, 2.005157, 2.002457, 1.998657, 
    1.994805, 1.990603, 1.9851, 1.98015, 1.97655, 1.973298, 1.970095, 
    1.967745, 1.966545, 1.966045, 1.967045, 1.968645, 1.971296, 1.974299, 
    1.97805, 1.98225, 1.987301, 1.992004, 1.996954, 2.001105, 2.006057, 
    2.012056, 2.019607, 2.028159, 2.037059, 2.04701, 2.058761, 2.072861, 
    2.085812, 2.097715, 2.108516, 2.118017, 2.125317, 2.130868, 2.134968, 
    2.137518, 2.13857, 2.138918, 2.139068, 2.139068, 2.138819, 2.138218, 
    2.137168, 2.137818, 2.150323, 2.194335, 2.297607, 2.467237, 2.677921, 
    2.931659, 3.251056, 3.603418, 3.927398, 4.206555, 4.460196, 4.702736, 
    3.701822, 0.7726755, 0, 0, 0, 0, 0.7063008, 7.098546, 7.225659, 7.308976, 
    7.345751, 7.406713, 7.384045, 7.245892, 6.918704, 6.412236, 5.809665, 
    5.130467, 4.353363, 3.568831, 2.875058, 2.242543, 1.673334, 1.261432, 
    1.019086, 0.8929393, 0.8625733, 0.9111602, 1.000874, 1.108457, 1.240488, 
    1.383883, 1.517353, 1.64243, 1.762116, 1.859557, 1.928247, 1.983285, 
    2.030568, 2.056396, 2.064357, 2.064951, 2.065593, 2.066083, 2.066572, 
    2.064961, 2.061503, 2.057801, 2.055301, 2.053504, 2.053108, 2.053862, 
    2.055568, 2.057625, 2.057088, 2.051203, 2.048368, 2.07213, 2.157082, 
    2.283659, 2.415323, 2.550479, 2.696371, 2.840418, 2.969871, 3.095131, 
    3.189997, 3.223433, 3.219546, 3.204474, 3.171177, 3.12205, 3.019269, 
    2.875885, 2.714149, 2.555409, 2.424255, 2.298676, 2.169827, 2.055066, 
    1.971988, 1.956102, 1.97801, 2.005568, 2.024581, 2.033795, 2.036484, 
    2.036834, 2.037534, 2.037534, 2.037534, 2.037534, 2.037034, 2.035834, 
    2.033534, 2.030783, 2.027532, 2.02358, 2.018977, 2.013976, 2.009525, 
    2.005073, 2.000521, 1.996121, 1.992518, 1.988918, 1.984566, 1.980465, 
    1.976014, 1.966336, 1.950275, 1.919764, 1.883154, 1.836743, 1.786231, 
    1.727348, 1.664262, 1.602225, 1.543708, 1.507433, 1.497206, 1.519156, 
    1.563259, 1.612024, 1.666559, 1.728448, 1.796032, 1.859869, 1.906756, 
    1.943494, 1.958562, 1.962669, 1.963534, 1.965099, 1.966615, 1.96853, 
    1.970344, 1.972506, 1.975172, 1.978237, 1.981649, 1.985058, 1.98672, 
    1.988183, 1.988445, 1.988007, 1.987121, 1.985282, 1.983991, 1.98409, 
    1.987723, 1.992697, 2.000916, 2.015081, 2.032642, 2.050602, 2.066516, 
    2.078581, 2.085101, 2.069691, 2.009957, 1.93239, 1.833782, 1.730176, 
    1.637871, 1.547665, 1.45511, 1.371148, 1.322769, 1.315665, 1.325093, 
    1.347162, 1.366681, 1.376397, 1.381259, 1.372874, 1.352801, 1.322937, 
    1.281284, 1.233888, 1.184047, 1.142258, 1.108723, 1.085191, 1.076362, 
    1.089932, 1.142558, 1.22303, 1.318703, 1.427664, 1.546772, 1.661534, 
    1.772502, 1.884521, 0.9605358, 0.3065585, 1.031817, 1.820439, 2.167097, 
    2.176534, 2.177864, 2.173937, 2.166407, 2.160954,
  2.164017, 2.158421, 2.145926, 2.132179, 2.120542, 2.1082, 2.094057, 
    2.080206, 2.069055, 2.059654, 2.050755, 2.044355, 2.040306, 2.037308, 
    2.036609, 2.037061, 2.037312, 2.037563, 2.038015, 2.038065, 2.038065, 
    2.038065, 2.037513, 2.036263, 2.034563, 2.032163, 2.029011, 2.025011, 
    2.020559, 2.015407, 2.009157, 2.004006, 1.999803, 1.995952, 1.992152, 
    1.989602, 1.98805, 1.98755, 1.9886, 1.990652, 1.993552, 1.997152, 
    2.001554, 2.006257, 2.011557, 2.017208, 2.022509, 2.027261, 2.032561, 
    2.038913, 2.046663, 2.055663, 2.064563, 2.074863, 2.087165, 2.101014, 
    2.114566, 2.126714, 2.137965, 2.147514, 2.154814, 2.160363, 2.164915, 
    2.167515, 2.168563, 2.168563, 2.168563, 2.168563, 2.168563, 2.168215, 
    2.167165, 2.167815, 2.181817, 2.230827, 2.343196, 2.524518, 2.748895, 
    3.018075, 3.356814, 3.734063, 4.090327, 4.400758, 4.674104, 4.933389, 
    3.810661, 0.7658437, 0, 0, 0, 0, 0.3626606, 3.643034, 5.637731, 7.600322, 
    7.591798, 7.594429, 7.539153, 7.382773, 7.043658, 6.534213, 5.930377, 
    5.260767, 4.497381, 3.719841, 3.016319, 2.360681, 1.765575, 1.331026, 
    1.069386, 0.9228925, 0.8632284, 0.8828629, 0.9529127, 1.049229, 1.172108, 
    1.309838, 1.447839, 1.583409, 1.718239, 1.833529, 1.918963, 1.989343, 
    2.051576, 2.091712, 2.108338, 2.109195, 2.106037, 2.102026, 2.097816, 
    2.092561, 2.086709, 2.082659, 2.080059, 2.07921, 2.080112, 2.082464, 
    2.086319, 2.090873, 2.095633, 2.096347, 2.09986, 2.127867, 2.208748, 
    2.319, 2.429742, 2.541534, 2.661225, 2.778962, 2.886009, 2.991311, 
    3.069671, 3.099469, 3.104446, 3.104183, 3.092375, 3.069821, 2.995127, 
    2.88089, 2.750415, 2.618976, 2.5036, 2.38717, 2.262086, 2.14805, 
    2.059402, 2.032338, 2.037857, 2.047319, 2.053046, 2.054246, 2.054546, 
    2.054695, 2.055295, 2.055546, 2.055546, 2.055546, 2.055046, 2.053494, 
    2.051044, 2.048144, 2.044293, 2.039742, 2.034491, 2.028689, 2.023537, 
    2.018386, 2.013085, 2.008333, 2.003782, 1.999579, 1.994578, 1.989826, 
    1.985026, 1.980226, 1.973429, 1.959915, 1.940351, 1.910636, 1.872755, 
    1.820768, 1.76343, 1.706792, 1.647203, 1.606056, 1.580666, 1.577303, 
    1.596591, 1.633321, 1.68176, 1.738247, 1.799535, 1.857471, 1.898961, 
    1.935572, 1.96105, 1.971721, 1.977026, 1.98268, 1.988533, 1.994536, 
    2.00029, 2.006044, 2.013048, 2.020201, 2.026552, 2.032204, 2.036654, 
    2.041305, 2.044557, 2.046757, 2.048907, 2.049708, 2.050057, 2.050057, 
    2.049957, 2.048906, 2.04905, 2.052688, 2.058524, 2.064209, 2.068744, 
    2.070132, 2.067068, 2.04987, 1.998742, 1.935724, 1.855865, 1.772009, 
    1.699402, 1.628895, 1.55654, 1.490481, 1.450799, 1.441895, 1.442929, 
    1.452907, 1.459229, 1.455051, 1.443918, 1.421088, 1.390616, 1.353849, 
    1.308988, 1.261383, 1.214085, 1.176593, 1.148855, 1.13282, 1.132386, 
    1.155056, 1.218127, 1.309754, 1.413969, 1.526223, 1.64863, 1.771302, 
    1.891526, 2.012446, 1.082446, 0, 0, 1.56605, 2.246203, 2.244618, 
    2.231373, 2.210777, 2.187236, 2.176917,
  2.165489, 2.160941, 2.150595, 2.137344, 2.130251, 2.121407, 2.109913, 
    2.097469, 2.087274, 2.077774, 2.069627, 2.064081, 2.062791, 2.06255, 
    2.063657, 2.066013, 2.067567, 2.068419, 2.069018, 2.069067, 2.069067, 
    2.069067, 2.068519, 2.067119, 2.065068, 2.062667, 2.059017, 2.054365, 
    2.049314, 2.043563, 2.036661, 2.030859, 2.026059, 2.021608, 2.017607, 
    2.014455, 2.012555, 2.012055, 2.013155, 2.015805, 2.019057, 2.023008, 
    2.028059, 2.03341, 2.039312, 2.045563, 2.051515, 2.056916, 2.062567, 
    2.069268, 2.077168, 2.086167, 2.095068, 2.105016, 2.117113, 2.130513, 
    2.14381, 2.15571, 2.166909, 2.176008, 2.183057, 2.188357, 2.192905, 
    2.195355, 2.196055, 2.196055, 2.196055, 2.196055, 2.196055, 2.196055, 
    2.195155, 2.195805, 2.210808, 2.263965, 2.383327, 2.573895, 2.808863, 
    3.090737, 3.445015, 3.842654, 4.225002, 4.559023, 4.84443, 5.112935, 
    4.010701, 2.834192, 0.2862511, 0, 0, 0, 0, 0, 3.923496, 7.823486, 
    7.755808, 7.678584, 7.575005, 7.400807, 7.058509, 6.552569, 5.960253, 
    5.318281, 4.596545, 3.85288, 3.170843, 2.519598, 1.905522, 1.450333, 
    1.171548, 1.004403, 0.9108728, 0.8949864, 0.9362637, 1.010101, 1.116202, 
    1.239661, 1.373091, 1.513893, 1.659058, 1.789735, 1.890165, 1.975197, 
    2.053633, 2.110771, 2.141304, 2.147319, 2.142018, 2.135567, 2.129067, 
    2.122567, 2.116217, 2.111816, 2.109316, 2.108565, 2.110117, 2.113267, 
    2.118068, 2.123919, 2.130918, 2.136576, 2.143076, 2.171621, 2.238983, 
    2.323973, 2.408418, 2.493562, 2.585552, 2.675094, 2.758446, 2.842503, 
    2.90397, 2.935629, 2.953157, 2.967884, 2.971759, 2.965835, 2.913526, 
    2.824119, 2.721113, 2.613253, 2.510935, 2.405813, 2.291494, 2.188326, 
    2.106302, 2.077457, 2.075707, 2.076205, 2.076806, 2.077755, 2.078105, 
    2.078557, 2.078806, 2.079406, 2.079557, 2.079557, 2.079057, 2.077157, 
    2.074507, 2.071155, 2.067055, 2.061903, 2.056453, 2.049902, 2.043799, 
    2.038049, 2.032046, 2.026344, 2.021293, 2.016242, 2.010992, 2.00534, 
    2.000289, 1.994886, 1.988636, 1.983336, 1.975048, 1.95837, 1.927682, 
    1.881544, 1.829605, 1.778015, 1.723375, 1.677101, 1.636074, 1.607277, 
    1.601431, 1.626049, 1.669439, 1.720177, 1.775966, 1.830665, 1.875439, 
    1.920564, 1.959042, 1.981521, 1.991536, 1.998739, 2.006042, 2.013495, 
    2.020797, 2.0281, 2.036502, 2.044503, 2.051806, 2.058057, 2.06351, 
    2.06811, 2.07181, 2.074111, 2.076461, 2.077561, 2.077561, 2.07721, 
    2.076959, 2.075759, 2.074308, 2.073551, 2.073038, 2.072074, 2.070261, 
    2.066703, 2.060403, 2.045811, 2.005285, 1.95531, 1.893495, 1.829688, 
    1.776177, 1.725117, 1.672457, 1.623338, 1.590801, 1.58065, 1.576041, 
    1.575217, 1.569996, 1.552868, 1.52749, 1.491564, 1.451143, 0.9060259, 
    1.282254, 1.302644, 1.25735, 1.223608, 1.203228, 1.19349, 1.199903, 
    1.230115, 1.303187, 1.404753, 1.513206, 1.627612, 1.755026, 1.888149, 
    2.019272, 2.149341, 2.14352, 0.8312379, 0, 0.7967287, 1.260971, 2.325931, 
    2.289375, 2.245472, 2.200722, 2.17859,
  2.148943, 2.144743, 2.137351, 2.126211, 2.122468, 2.116624, 2.108331, 
    2.098838, 2.091745, 2.084304, 2.079163, 2.077776, 2.081285, 2.085846, 
    2.091558, 2.097116, 2.100318, 2.102121, 2.103023, 2.103073, 2.103073, 
    2.103073, 2.102923, 2.101122, 2.098822, 2.096171, 2.092019, 2.086869, 
    2.081569, 2.075218, 2.067617, 2.060714, 2.055312, 2.050612, 2.046111, 
    2.042461, 2.040561, 2.040061, 2.041161, 2.043961, 2.047812, 2.052012, 
    2.057563, 2.063716, 2.070567, 2.077419, 2.083969, 2.089569, 2.095569, 
    2.102269, 2.110119, 2.118667, 2.127316, 2.136314, 2.147613, 2.16021, 
    2.172308, 2.183354, 2.193501, 2.2022, 2.208549, 2.213849, 2.217497, 
    2.219847, 2.220547, 2.220547, 2.220547, 2.220547, 2.220547, 2.220547, 
    2.219647, 2.220296, 2.236298, 2.292202, 2.416411, 2.61352, 2.856083, 
    3.147298, 3.512766, 3.926996, 4.330687, 4.673452, 4.961707, 5.232009, 
    5.468458, 3.656493, 0.2838902, 0, 0, 0, 0, 0, 1.98265, 6.750484, 
    7.852246, 7.726666, 7.59081, 7.395419, 7.058289, 6.56006, 5.984595, 
    5.377311, 4.704751, 4.008412, 3.358682, 2.722893, 2.102994, 1.624889, 
    1.328601, 1.13835, 1.008581, 0.9516971, 0.9583263, 1.000307, 1.078692, 
    1.181197, 1.301111, 1.438896, 1.587446, 1.728311, 1.843643, 1.944275, 
    2.040161, 2.115449, 2.162033, 2.17851, 2.175019, 2.168569, 2.162069, 
    2.155569, 2.149621, 2.14482, 2.14232, 2.141571, 2.14317, 2.146771, 
    2.151571, 2.15742, 2.164571, 2.17172, 2.17832, 2.202055, 2.248959, 
    2.304848, 2.362643, 2.421139, 2.484781, 2.548733, 2.609689, 2.673799, 
    2.721826, 2.758487, 2.787658, 2.814381, 2.829602, 2.833517, 2.79649, 
    2.727632, 2.645575, 2.557919, 2.471904, 2.381336, 2.282972, 2.196659, 
    2.129545, 2.105459, 2.103659, 2.103859, 2.104559, 2.105259, 2.105659, 
    2.106559, 2.10681, 2.107409, 2.108011, 2.10791, 2.10731, 2.105661, 
    2.102961, 2.09901, 2.094559, 2.08941, 2.083509, 2.076759, 2.069808, 
    2.063557, 2.057057, 2.050706, 2.045055, 2.039404, 2.033501, 2.0272, 
    2.021549, 2.015198, 2.008597, 2.002845, 1.997545, 1.98243, 1.948556, 
    1.89868, 1.843455, 1.788231, 1.729455, 1.67138, 1.617605, 1.571529, 
    1.553725, 1.571679, 1.618352, 1.672376, 1.731952, 1.792527, 1.849202, 
    1.906578, 1.958104, 1.99403, 2.011296, 2.019798, 2.028551, 2.037153, 
    2.045304, 2.053455, 2.062957, 2.071659, 2.079559, 2.08641, 2.092459, 
    2.097111, 2.10081, 2.103461, 2.105509, 2.106559, 2.106559, 2.10621, 
    2.105509, 2.104259, 2.102559, 2.100159, 2.096509, 2.091857, 2.087057, 
    2.081557, 2.075057, 2.064063, 2.035087, 1.997363, 1.95064, 1.903617, 
    1.865693, 1.830921, 1.795302, 1.760831, 1.734042, 1.719827, 1.708608, 
    1.696787, 1.681467, 1.65355, 1.61437, 1.563083, 1.131066, 0.2188559, 
    0.6845156, 1.345685, 1.303089, 1.273097, 1.26066, 1.258931, 1.273653, 
    1.311471, 1.393035, 1.500695, 1.611199, 1.728707, 1.863373, 2.008349, 
    2.15002, 2.288887, 2.398646, 2.085643, 1.26839, 0.381496, 0.2424681, 
    2.409365, 2.344855, 2.27475, 2.206101, 2.167615,
  2.115423, 2.11298, 2.109889, 2.103599, 2.103206, 2.100713, 2.096271, 
    2.090228, 2.086986, 2.084096, 2.084258, 2.088969, 2.097529, 2.10749, 
    2.118449, 2.127707, 2.133063, 2.135613, 2.137415, 2.137565, 2.137565, 
    2.137565, 2.136963, 2.135114, 2.132814, 2.129813, 2.125515, 2.120214, 
    2.114563, 2.108214, 2.100565, 2.093065, 2.087065, 2.082114, 2.077615, 
    2.073965, 2.072065, 2.071565, 2.072665, 2.075465, 2.079314, 2.083514, 
    2.089565, 2.096365, 2.103565, 2.110413, 2.117013, 2.123065, 2.129065, 
    2.135413, 2.143013, 2.15051, 2.158559, 2.166608, 2.176654, 2.188252, 
    2.198798, 2.208647, 2.217545, 2.225543, 2.231292, 2.23599, 2.239039, 
    2.241339, 2.242039, 2.242039, 2.242039, 2.242039, 2.242039, 2.241688, 
    2.241089, 2.241639, 2.257788, 2.314889, 2.441891, 2.642546, 2.889551, 
    3.18661, 3.560375, 3.987095, 4.408877, 4.764513, 5.057025, 5.327825, 
    5.563422, 1.697601, 0, 0, 0, 0, 0, 0, 2.028689, 3.998195, 7.477391, 
    7.742297, 7.616042, 7.41521, 7.087829, 6.611193, 6.061961, 5.488581, 
    4.859866, 4.216166, 3.598022, 2.961962, 2.339651, 1.837058, 1.512634, 
    1.29111, 1.127294, 1.033228, 1.004106, 1.011387, 1.055414, 1.133061, 
    1.235878, 1.366715, 1.516219, 1.663027, 1.791398, 1.908231, 2.022619, 
    2.116154, 2.178784, 2.209212, 2.209469, 2.203069, 2.19682, 2.190571, 
    2.184669, 2.180171, 2.177571, 2.177071, 2.178271, 2.18212, 2.18682, 
    2.192571, 2.199519, 2.206218, 2.212567, 2.229053, 2.253258, 2.281408, 
    2.31341, 2.346814, 2.384919, 2.425022, 2.465233, 2.509995, 2.547376, 
    2.588432, 2.626949, 2.662662, 2.685471, 2.694577, 2.668498, 2.619686, 
    2.558627, 2.492068, 2.423653, 2.348935, 2.267667, 2.200657, 2.151292, 
    2.134457, 2.132256, 2.132706, 2.133306, 2.134257, 2.135058, 2.135707, 
    2.136559, 2.137059, 2.137959, 2.13791, 2.13731, 2.135659, 2.132959, 
    2.129009, 2.124561, 2.119761, 2.113511, 2.106259, 2.09931, 2.09271, 
    2.086059, 2.079559, 2.073308, 2.067057, 2.060507, 2.053555, 2.047555, 
    2.040855, 2.033653, 2.027704, 2.022053, 2.003102, 1.958031, 1.895055, 
    1.82748, 1.760608, 1.688983, 1.618056, 1.552384, 1.494412, 1.470141, 
    1.494412, 1.552384, 1.618408, 1.690933, 1.764059, 1.832982, 1.902606, 
    1.967533, 2.014702, 2.036304, 2.045655, 2.055105, 2.064657, 2.073308, 
    2.081959, 2.091959, 2.10131, 2.109561, 2.11641, 2.12246, 2.126959, 
    2.130559, 2.133459, 2.135059, 2.136059, 2.135808, 2.135557, 2.134607, 
    2.133608, 2.131557, 2.129157, 2.125507, 2.120859, 2.115808, 2.110408, 
    2.104009, 2.095563, 2.078837, 2.053712, 2.020589, 1.986765, 1.961189, 
    1.939112, 1.91834, 1.898971, 1.877281, 1.85662, 1.837557, 1.817195, 
    1.794234, 1.759373, 1.708856, 1.638969, 0.7988237, 0, 0.1405616, 
    1.395865, 1.354114, 1.326717, 1.319876, 1.326991, 1.352161, 1.397974, 
    1.484832, 1.595284, 1.70844, 1.830349, 1.973668, 2.130891, 2.28251, 
    2.429224, 2.541475, 2.578911, 2.5905, 0.7784225, 0.122965, 1.588429, 
    2.385308, 2.288656, 2.19611, 2.142034,
  2.07492, 2.075274, 2.077335, 2.075644, 2.079453, 2.081162, 2.08077, 
    2.078778, 2.079987, 2.081896, 2.088207, 2.09897, 2.11303, 2.127788, 
    2.142946, 2.155802, 2.163304, 2.166606, 2.168405, 2.168555, 2.168555, 
    2.168555, 2.168007, 2.166457, 2.164057, 2.161308, 2.157057, 2.152209, 
    2.146561, 2.140561, 2.133111, 2.126213, 2.120816, 2.115766, 2.111567, 
    2.107966, 2.106066, 2.105567, 2.106666, 2.109466, 2.113066, 2.117366, 
    2.123065, 2.129212, 2.136061, 2.142561, 2.14901, 2.154908, 2.160557, 
    2.166206, 2.173003, 2.179853, 2.187051, 2.194249, 2.202697, 2.212944, 
    2.222293, 2.230939, 2.238536, 2.245384, 2.250532, 2.254632, 2.257482, 
    2.25933, 2.26003, 2.26003, 2.26003, 2.26003, 2.26003, 2.259681, 2.25913, 
    2.259982, 2.27553, 2.332028, 2.458473, 2.659821, 2.908272, 3.208174, 
    3.586979, 4.021891, 4.457061, 4.830293, 5.136533, 5.40909, 5.645646, 
    1.722344, 0, 0, 0, 0, 0, 0, 2.013085, 1.207851, 3.919751, 7.772467, 
    7.678195, 7.491482, 7.174603, 6.733525, 6.225416, 5.690343, 5.104072, 
    4.499424, 3.881069, 3.23474, 2.604621, 2.082941, 1.71841, 1.455725, 
    1.255601, 1.129142, 1.066384, 1.038266, 1.045798, 1.093336, 1.177898, 
    1.299576, 1.449825, 1.601033, 1.738147, 1.870022, 2.002554, 2.113536, 
    2.191515, 2.23554, 2.243061, 2.237565, 2.231565, 2.225564, 2.219716, 
    2.215817, 2.213317, 2.212566, 2.214168, 2.217466, 2.221815, 2.227565, 
    2.234065, 2.240414, 2.245812, 2.25575, 2.261975, 2.266735, 2.276447, 
    2.28861, 2.304971, 2.323786, 2.345303, 2.37172, 2.397946, 2.438137, 
    2.482995, 2.523299, 2.548851, 2.5592, 2.542265, 2.512048, 2.471185, 
    2.425224, 2.373905, 2.314884, 2.251319, 2.203805, 2.172791, 2.163104, 
    2.160353, 2.161053, 2.161553, 2.162753, 2.164003, 2.164855, 2.165804, 
    2.166404, 2.167455, 2.167555, 2.167055, 2.165506, 2.162957, 2.159157, 
    2.155308, 2.150759, 2.144509, 2.137261, 2.130561, 2.124212, 2.117512, 
    2.110561, 2.104312, 2.097711, 2.090961, 2.083561, 2.07731, 2.070359, 
    2.062709, 2.056557, 2.050557, 2.031257, 1.975586, 1.899562, 1.819991, 
    1.741468, 1.656943, 1.572568, 1.495145, 1.425422, 1.390552, 1.425422, 
    1.495145, 1.573268, 1.658943, 1.745068, 1.82599, 1.907613, 1.985988, 
    2.043359, 2.065559, 2.075159, 2.08506, 2.094809, 2.104061, 2.112961, 
    2.122961, 2.13231, 2.140559, 2.147059, 2.152957, 2.157308, 2.160306, 
    2.162955, 2.164505, 2.165053, 2.164804, 2.164204, 2.163555, 2.162604, 
    2.160555, 2.157804, 2.154505, 2.150355, 2.145306, 2.140257, 2.134057, 
    2.127561, 2.11957, 2.107044, 2.087971, 2.067246, 2.053418, 2.041684, 
    2.032752, 2.024816, 2.00923, 1.986281, 1.96107, 1.934358, 1.905195, 
    1.865538, 1.808679, 1.724862, 1.25139, 0.8125202, 0.8539847, 1.463947, 
    1.421144, 1.394796, 1.3916, 1.405913, 1.440429, 1.492088, 1.580236, 
    1.690735, 1.806188, 1.932846, 2.085212, 2.25278, 2.412743, 2.564649, 
    2.676095, 2.70859, 2.71473, 1.776201, 1.345484, 1.648556, 1.817298, 
    1.930239, 2.170241, 2.10397,
  2.030414, 2.033219, 2.04118, 2.04434, 2.0532, 2.059608, 2.064219, 2.066978, 
    2.072987, 2.080399, 2.092709, 2.109319, 2.128527, 2.147736, 2.166442, 
    2.182247, 2.19105, 2.194949, 2.19645, 2.196399, 2.196048, 2.196048, 
    2.195948, 2.194598, 2.192549, 2.19015, 2.186101, 2.181851, 2.176802, 
    2.171053, 2.164155, 2.158206, 2.153306, 2.149108, 2.145058, 2.141609, 
    2.14006, 2.13956, 2.14061, 2.142959, 2.146559, 2.150507, 2.155155, 
    2.160906, 2.166804, 2.173053, 2.179001, 2.184101, 2.188798, 2.193848, 
    2.199997, 2.206045, 2.212042, 2.218391, 2.225638, 2.234286, 2.242533, 
    2.249731, 2.256481, 2.262079, 2.266277, 2.269774, 2.272424, 2.273824, 
    2.274524, 2.274524, 2.274524, 2.274524, 2.274524, 2.274524, 2.273724, 
    2.274824, 2.289522, 2.343766, 2.466959, 2.6652, 2.912244, 3.211439, 
    3.591087, 4.029087, 4.469738, 4.85721, 5.183845, 5.460403, 5.70031, 
    3.846105, 0.300998, 0, 0, 0, 0, 0, 0, 0, 0.7778876, 7.770933, 7.70215, 
    7.523796, 7.222984, 6.81343, 6.349555, 5.853473, 5.303981, 4.729391, 
    4.116062, 3.486651, 2.877797, 2.342427, 1.940166, 1.630627, 1.389197, 
    1.230887, 1.139388, 1.078333, 1.050419, 1.06541, 1.128919, 1.239701, 
    1.390002, 1.545911, 1.689672, 1.832036, 1.980513, 2.107641, 2.199766, 
    2.256187, 2.273854, 2.270057, 2.264308, 2.258559, 2.25361, 2.24981, 
    2.247309, 2.246561, 2.248159, 2.25146, 2.255309, 2.260559, 2.266607, 
    2.272757, 2.277306, 2.281496, 2.276077, 2.264205, 2.257983, 2.254913, 
    2.255091, 2.258419, 2.266652, 2.279434, 2.296724, 2.333069, 2.379115, 
    2.419211, 2.4423, 2.450643, 2.442612, 2.42618, 2.4003, 2.370019, 2.33269, 
    2.286962, 2.24039, 2.211172, 2.194289, 2.188592, 2.186695, 2.187195, 
    2.188046, 2.189246, 2.190546, 2.191846, 2.192797, 2.193396, 2.194496, 
    2.195048, 2.194548, 2.193348, 2.190998, 2.1878, 2.1843, 2.180101, 
    2.174503, 2.167903, 2.161555, 2.155906, 2.149507, 2.142559, 2.136559, 
    2.13021, 2.123059, 2.11591, 2.109309, 2.10236, 2.094661, 2.08806, 
    2.08181, 2.062259, 2.001108, 1.912737, 1.821515, 1.730641, 1.633419, 
    1.535945, 1.446423, 1.364952, 1.323096, 1.364952, 1.446423, 1.536645, 
    1.635068, 1.734593, 1.827515, 1.921137, 2.011607, 2.075009, 2.09756, 
    2.106809, 2.116959, 2.126459, 2.135808, 2.144457, 2.154005, 2.163004, 
    2.170553, 2.176702, 2.182001, 2.186149, 2.18855, 2.190598, 2.191947, 
    2.192048, 2.191546, 2.190344, 2.189442, 2.18759, 2.185539, 2.18279, 
    2.17994, 2.17584, 2.171291, 2.167094, 2.162047, 2.156999, 2.152804, 
    2.148611, 2.141931, 2.133903, 2.13037, 2.127537, 2.127602, 2.127719, 
    2.120185, 2.102502, 2.077313, 2.04651, 2.013207, 1.973615, 1.913962, 
    1.821748, 1.729423, 1.663713, 1.603763, 1.547313, 1.504667, 1.47952, 
    1.478924, 1.499736, 1.541949, 1.600264, 1.687363, 1.795957, 1.911454, 
    2.041307, 2.200115, 2.37332, 2.535716, 2.686205, 2.791787, 2.819374, 
    2.81615, 2.780719, 2.701576, 2.192472, 0.6172318, 0.7835706, 2.024275, 
    2.059364,
  1.982413, 1.98837, 2.00218, 2.01104, 2.025199, 2.03691, 2.04722, 2.05553, 
    2.066238, 2.079398, 2.097709, 2.12002, 2.144028, 2.167334, 2.18929, 
    2.206691, 2.216542, 2.220442, 2.221491, 2.221241, 2.220541, 2.220541, 
    2.220441, 2.219241, 2.217541, 2.215141, 2.211992, 2.207993, 2.203544, 
    2.198395, 2.192598, 2.187198, 2.182549, 2.178949, 2.1751, 2.172251, 
    2.171051, 2.170551, 2.171551, 2.173301, 2.176549, 2.180149, 2.184199, 
    2.189748, 2.194797, 2.200195, 2.205494, 2.209942, 2.214042, 2.218491, 
    2.223939, 2.228737, 2.233786, 2.239184, 2.245132, 2.252329, 2.259027, 
    2.265024, 2.270972, 2.275921, 2.27927, 2.281919, 2.283968, 2.285318, 
    2.286018, 2.286017, 2.286018, 2.286018, 2.286018, 2.286017, 2.285218, 
    2.286167, 2.299514, 2.350307, 2.468296, 2.659681, 2.901719, 3.197311, 
    3.574052, 4.009593, 4.45245, 4.852624, 5.196401, 5.475452, 5.717754, 
    3.836534, 0.2988403, 0, 0, 0, 0, 0, 0, 0, 0.3858817, 3.855828, 3.823941, 
    3.734508, 6.825212, 6.81372, 6.386828, 5.927744, 5.410049, 4.867656, 
    4.290565, 3.705436, 3.143209, 2.593277, 2.162885, 1.809466, 1.524891, 
    1.334435, 1.217141, 1.128899, 1.068546, 1.052342, 1.092951, 1.192027, 
    1.34047, 1.501278, 1.651189, 1.8004, 1.959712, 2.100935, 2.205756, 
    2.273475, 2.300392, 2.29985, 2.295053, 2.289904, 2.285103, 2.281303, 
    2.279055, 2.278555, 2.279704, 2.282953, 2.286804, 2.291704, 2.297103, 
    2.302751, 2.307051, 2.3082, 2.293987, 2.271169, 2.256009, 2.246105, 
    2.23915, 2.235648, 2.238745, 2.246746, 2.261095, 2.297551, 2.343002, 
    2.379343, 2.401199, 2.409154, 2.406756, 2.395256, 2.374857, 2.350559, 
    2.320765, 2.283625, 2.248338, 2.225279, 2.213781, 2.208932, 2.208082, 
    2.208833, 2.210284, 2.212087, 2.213537, 2.214837, 2.216037, 2.216888, 
    2.218039, 2.219039, 2.21879, 2.217841, 2.215992, 2.213292, 2.210042, 
    2.206093, 2.201444, 2.195546, 2.189797, 2.184748, 2.179049, 2.173051, 
    2.167051, 2.161402, 2.154605, 2.147905, 2.141557, 2.134857, 2.127658, 
    2.12156, 2.115311, 2.095762, 2.034612, 1.940613, 1.840553, 1.737683, 
    1.627509, 1.517488, 1.418224, 1.330873, 1.287274, 1.330873, 1.418224, 
    1.517836, 1.62911, 1.741632, 1.846302, 1.94816, 2.044561, 2.10801, 
    2.130307, 2.138957, 2.148505, 2.157654, 2.166051, 2.1741, 2.182548, 
    2.190846, 2.197795, 2.203344, 2.207942, 2.211141, 2.213541, 2.215241, 
    2.215989, 2.216039, 2.215039, 2.212988, 2.210985, 2.208285, 2.205534, 
    2.202782, 2.19948, 2.195481, 2.191532, 2.188283, 2.184935, 2.181088, 
    2.17879, 2.177192, 2.177096, 2.178308, 2.181816, 2.186025, 2.193586, 
    2.201599, 2.202362, 2.194028, 2.177448, 2.150766, 2.120429, 2.089051, 
    1.931509, 1.224708, 1.368815, 0.8510821, 1.608159, 1.641475, 1.600177, 
    1.576378, 1.577179, 1.602885, 1.651696, 1.717307, 1.803455, 1.9092, 
    2.023198, 2.155052, 2.31841, 2.493663, 2.652956, 2.796843, 2.893428, 
    2.91216, 2.89664, 2.844009, 2.740263, 2.210686, 0.623696, 0, 1.044205, 
    2.010912,
  1.933416, 1.942873, 1.962282, 1.977393, 1.997203, 2.015265, 2.031224, 
    2.044732, 2.060492, 2.079051, 2.10321, 2.131219, 2.159526, 2.186081, 
    2.210634, 2.228836, 2.239036, 2.242936, 2.243486, 2.242734, 2.242034, 
    2.242034, 2.241533, 2.240734, 2.239034, 2.236985, 2.234035, 2.230636, 
    2.226787, 2.222589, 2.217539, 2.21249, 2.208541, 2.205292, 2.202094, 
    2.199594, 2.198293, 2.198044, 2.198643, 2.200644, 2.203293, 2.206291, 
    2.210091, 2.214739, 2.219539, 2.223988, 2.228486, 2.232436, 2.236285, 
    2.240134, 2.244483, 2.248431, 2.252278, 2.256827, 2.261626, 2.267373, 
    2.27252, 2.277319, 2.282017, 2.286265, 2.289014, 2.291063, 2.292512, 
    2.293661, 2.294261, 2.294512, 2.294512, 2.294512, 2.294512, 2.294161, 
    2.293612, 2.29401, 2.305758, 2.352149, 2.462183, 2.644065, 2.877949, 
    3.166784, 3.537421, 3.966206, 4.407645, 4.810933, 5.166899, 5.44665, 
    5.690403, 1.736671, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.213009, 
    4.392705, 6.423549, 5.993334, 5.504027, 4.98982, 4.441461, 3.889606, 
    3.363008, 2.814744, 2.36281, 1.980177, 1.659325, 1.438426, 1.297889, 
    1.187454, 1.098658, 1.054364, 1.072478, 1.157452, 1.301595, 1.466651, 
    1.621457, 1.775564, 1.940371, 2.093791, 2.209507, 2.287072, 2.323087, 
    2.327144, 2.323295, 2.318746, 2.314148, 2.310949, 2.309049, 2.308549, 
    2.309649, 2.312299, 2.315797, 2.320346, 2.325094, 2.330094, 2.333792, 
    2.33399, 2.314284, 2.283172, 2.263768, 2.252066, 2.243264, 2.239164, 
    2.242266, 2.250968, 2.265971, 2.30663, 2.355039, 2.391197, 2.418359, 
    2.429164, 2.428066, 2.416466, 2.395514, 2.371914, 2.343312, 2.307708, 
    2.271593, 2.241427, 2.230276, 2.225777, 2.225127, 2.226478, 2.228529, 
    2.230929, 2.232981, 2.234481, 2.236032, 2.237232, 2.238532, 2.239532, 
    2.239532, 2.238832, 2.237483, 2.235285, 2.232285, 2.228936, 2.224938, 
    2.219688, 2.21479, 2.210241, 2.205091, 2.200193, 2.194795, 2.189746, 
    2.183596, 2.177698, 2.172049, 2.165701, 2.159552, 2.153702, 2.148304, 
    2.129255, 2.068155, 1.974605, 1.872056, 1.763907, 1.647158, 1.531058, 
    1.428309, 1.34096, 1.29736, 1.34096, 1.428309, 1.531058, 1.649008, 
    1.767156, 1.877305, 1.981155, 2.077503, 2.140202, 2.161551, 2.1696, 
    2.178048, 2.186346, 2.193795, 2.200893, 2.208493, 2.21569, 2.221788, 
    2.226837, 2.230486, 2.232985, 2.234783, 2.236232, 2.236532, 2.236382, 
    2.235031, 2.232631, 2.230031, 2.227131, 2.22378, 2.220429, 2.216479, 
    2.212127, 2.208276, 2.205477, 2.203429, 2.200881, 2.199783, 2.199385, 
    2.201187, 2.205688, 2.212792, 2.220947, 2.233653, 2.248214, 2.256326, 
    2.25674, 2.251509, 2.236984, 1.650983, 1.069193, 0.9425757, 0.2882141, 
    0.4803568, 0, 0.7815765, 0.842518, 1.255911, 1.674864, 1.67767, 1.706725, 
    1.760432, 1.830938, 1.91724, 2.019583, 2.131679, 2.26478, 2.432236, 
    2.608887, 2.762424, 2.896002, 2.978317, 2.986399, 2.959079, 2.890453, 
    2.763618, 2.581429, 1.236979, 0.7533093, 1.115311, 1.960263,
  1.892446, 1.904348, 1.928906, 1.950416, 1.976226, 2.000636, 2.022095, 
    2.039149, 2.058251, 2.080153, 2.10916, 2.141766, 2.173772, 2.203327, 
    2.22963, 2.248831, 2.259031, 2.262229, 2.262428, 2.261228, 2.260277, 
    2.260026, 2.259528, 2.258726, 2.257277, 2.255828, 2.25308, 2.25013, 
    2.246781, 2.243431, 2.239033, 2.234635, 2.231285, 2.228285, 2.225986, 
    2.223587, 2.222287, 2.222036, 2.222638, 2.224636, 2.226785, 2.229286, 
    2.232584, 2.236584, 2.240782, 2.244631, 2.24808, 2.251779, 2.255028, 
    2.258277, 2.261525, 2.264774, 2.267774, 2.271121, 2.274618, 2.279066, 
    2.283015, 2.286613, 2.29001, 2.293108, 2.295257, 2.296707, 2.297956, 
    2.298655, 2.299256, 2.299505, 2.299505, 2.299505, 2.299505, 2.299156, 
    2.298956, 2.298505, 2.308753, 2.349793, 2.449575, 2.619202, 2.841931, 
    3.120311, 3.481241, 3.899571, 4.332605, 4.73381, 5.100329, 5.385646, 
    5.629644, 3.783285, 0.2949667, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.993386, 6.471108, 6.044537, 5.569643, 5.07331, 4.541626, 4.009598, 
    3.507128, 2.97931, 2.52072, 2.124408, 1.784996, 1.541319, 1.38114, 
    1.252463, 1.141986, 1.073499, 1.071518, 1.141995, 1.279681, 1.446581, 
    1.604485, 1.761338, 1.92874, 2.089044, 2.213758, 2.29962, 2.343431, 
    2.352139, 2.348539, 2.344591, 2.341093, 2.338443, 2.336543, 2.336043, 
    2.337143, 2.339643, 2.342292, 2.34599, 2.350089, 2.354438, 2.357287, 
    2.356636, 2.334133, 2.298729, 2.27803, 2.265378, 2.25633, 2.252982, 
    2.257535, 2.268039, 2.284691, 2.329797, 2.383556, 2.425066, 2.459428, 
    2.472631, 2.473084, 2.461985, 2.439734, 2.416133, 2.385579, 2.345569, 
    2.298447, 2.257125, 2.245274, 2.240773, 2.240123, 2.241623, 2.244023, 
    2.246423, 2.248973, 2.250974, 2.252774, 2.254225, 2.255525, 2.256525, 
    2.256775, 2.256326, 2.255027, 2.253577, 2.251279, 2.24863, 2.24498, 
    2.240482, 2.236533, 2.232584, 2.228086, 2.223836, 2.219287, 2.214738, 
    2.209541, 2.204341, 2.199292, 2.193894, 2.188495, 2.182846, 2.178046, 
    2.159597, 2.098698, 2.005749, 1.904051, 1.796402, 1.680153, 1.564705, 
    1.462556, 1.375456, 1.332257, 1.375456, 1.462556, 1.564705, 1.682003, 
    1.799352, 1.908549, 2.011798, 2.107046, 2.169044, 2.189794, 2.197243, 
    2.204541, 2.211689, 2.218287, 2.224536, 2.231435, 2.237533, 2.242782, 
    2.24698, 2.249979, 2.251828, 2.253028, 2.253877, 2.253976, 2.253225, 
    2.251524, 2.249125, 2.246525, 2.243775, 2.240526, 2.236926, 2.232525, 
    2.227976, 2.223525, 2.220825, 2.219425, 2.217525, 2.217025, 2.217225, 
    2.219625, 2.224325, 2.232775, 2.243329, 2.260186, 2.280194, 2.294803, 
    2.303467, 2.308733, 2.307604, 1.152058, 0, 0, 0, 0, 0, 0, 0, 0.885569, 
    1.766945, 1.775106, 1.808967, 1.864918, 1.936265, 2.02146, 2.119201, 
    2.226891, 2.358385, 2.527585, 2.704283, 2.851123, 2.971703, 3.037581, 
    3.037122, 3.000561, 2.919193, 2.773364, 2.202076, 1.181839, 1.829876, 
    2.006239, 1.914935,
  1.86647, 1.880474, 1.909531, 1.93694, 1.968248, 1.9964, 2.021002, 2.039953, 
    2.060506, 2.083859, 2.115711, 2.152017, 2.187021, 2.218873, 2.246575, 
    2.266175, 2.275773, 2.278373, 2.277922, 2.276221, 2.275021, 2.27452, 
    2.27442, 2.273371, 2.272522, 2.271322, 2.269022, 2.266423, 2.263775, 
    2.260775, 2.257076, 2.253778, 2.251029, 2.24828, 2.246029, 2.24423, 
    2.243281, 2.243032, 2.243581, 2.24498, 2.246779, 2.249279, 2.252078, 
    2.255276, 2.258525, 2.261774, 2.264975, 2.267622, 2.270272, 2.272921, 
    2.275069, 2.277618, 2.280016, 2.282065, 2.284564, 2.287612, 2.290259, 
    2.292557, 2.294956, 2.296954, 2.298503, 2.299352, 2.3, 2.300651, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.30095, 2.300502, 2.308998, 2.343737, 
    2.432821, 2.588248, 2.797426, 3.062954, 3.410731, 3.81606, 4.237339, 
    4.64044, 5.017856, 5.307302, 5.550351, 5.778002, 2.975695, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.3608905, 4.557017, 6.578736, 6.116545, 5.623883, 
    5.128368, 4.600063, 4.075968, 3.586681, 3.074901, 2.627125, 2.232192, 
    1.893254, 1.640703, 1.466135, 1.323767, 1.199198, 1.112877, 1.093552, 
    1.150532, 1.280571, 1.445765, 1.604264, 1.761362, 1.928258, 2.089106, 
    2.21926, 2.31197, 2.361728, 2.373279, 2.370281, 2.367283, 2.364533, 
    2.362084, 2.360535, 2.360035, 2.361084, 2.363133, 2.365533, 2.368282, 
    2.371981, 2.37528, 2.377779, 2.376779, 2.353128, 2.316578, 2.296029, 
    2.284232, 2.276787, 2.27509, 2.282044, 2.295299, 2.314254, 2.36296, 
    2.423322, 2.471433, 2.510236, 2.525088, 2.527341, 2.517343, 2.494743, 
    2.470341, 2.435833, 2.386263, 2.324236, 2.272675, 2.259522, 2.25407, 
    2.253119, 2.254619, 2.257019, 2.259419, 2.261568, 2.263968, 2.265768, 
    2.267217, 2.268969, 2.270019, 2.270519, 2.27067, 2.269521, 2.268221, 
    2.266771, 2.264622, 2.261473, 2.257774, 2.254776, 2.251427, 2.247979, 
    2.243979, 2.240281, 2.236583, 2.232433, 2.227484, 2.223286, 2.218736, 
    2.213587, 2.208988, 2.20454, 2.18644, 2.126642, 2.035748, 1.940316, 
    1.838584, 1.728703, 1.619772, 1.52364, 1.439399, 1.396348, 1.439399, 
    1.52389, 1.619922, 1.730553, 1.841233, 1.944065, 2.040946, 2.13359, 
    2.194889, 2.214787, 2.221385, 2.227583, 2.233883, 2.239281, 2.244679, 
    2.250477, 2.255877, 2.260525, 2.263774, 2.265972, 2.267322, 2.268271, 
    2.268521, 2.268019, 2.26707, 2.26527, 2.263121, 2.26052, 2.257921, 
    2.255021, 2.25142, 2.247072, 2.242822, 2.238022, 2.235322, 2.233972, 
    2.232373, 2.231773, 2.231873, 2.234122, 2.238672, 2.24677, 2.25837, 
    2.278223, 2.302378, 2.322035, 1.510279, 1.163201, 1.165792, 0.5828962, 0, 
    0, 0, 0, 0, 0, 0, 0.9278173, 1.855992, 1.871655, 1.911915, 1.967914, 
    2.036157, 2.116849, 2.208237, 2.308874, 2.434361, 2.598495, 2.769729, 
    2.909566, 3.018249, 3.071278, 3.062361, 3.020254, 2.930544, 2.641821, 
    0.9126974, 1.128987, 2.148777, 1.980527, 1.886171,
  1.860511, 1.874506, 1.905105, 1.935355, 1.969757, 1.999259, 2.025011, 
    2.045413, 2.067766, 2.092217, 2.125318, 2.16382, 2.20002, 2.23272, 
    2.260569, 2.280018, 2.288768, 2.290866, 2.289915, 2.287715, 2.286515, 
    2.286015, 2.285915, 2.285015, 2.284515, 2.283315, 2.281517, 2.279568, 
    2.277518, 2.27512, 2.272071, 2.269421, 2.267021, 2.264972, 2.263074, 
    2.261724, 2.261024, 2.261024, 2.261124, 2.262324, 2.263774, 2.265572, 
    2.268021, 2.270622, 2.273271, 2.27592, 2.278467, 2.280468, 2.282266, 
    2.284415, 2.286065, 2.287814, 2.289012, 2.290211, 2.292009, 2.293808, 
    2.295257, 2.296355, 2.297903, 2.298801, 2.299751, 2.300351, 2.300551, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.307748, 
    2.336189, 2.414121, 2.554998, 2.748924, 2.999549, 3.332224, 3.722299, 
    4.129075, 4.532375, 4.919589, 5.209694, 5.45084, 5.677636, 5.299551, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3586509, 3.535964, 3.316337, 3.071587, 
    5.375113, 5.163944, 4.627774, 4.102466, 3.61882, 3.116982, 2.68305, 
    2.301977, 1.975352, 1.728722, 1.549374, 1.398716, 1.265658, 1.168796, 
    1.135578, 1.180762, 1.303249, 1.46389, 1.619283, 1.773977, 1.93727, 
    2.09451, 2.225509, 2.323266, 2.377421, 2.389923, 2.387774, 2.385624, 
    2.383476, 2.381376, 2.380528, 2.380028, 2.380978, 2.382126, 2.384275, 
    2.386425, 2.389473, 2.392123, 2.394272, 2.392921, 2.370175, 2.335079, 
    2.315532, 2.306487, 2.302293, 2.304151, 2.315309, 2.332767, 2.356226, 
    2.409484, 2.476593, 2.531453, 2.571856, 2.588208, 2.592612, 2.584064, 
    2.56031, 2.150438, 1.227239, 1.199325, 2.225314, 2.288073, 2.272518, 
    2.265717, 2.264165, 2.265465, 2.267514, 2.269563, 2.271513, 2.273612, 
    2.275512, 2.277063, 2.278962, 2.280163, 2.280763, 2.281363, 2.280564, 
    2.279715, 2.278515, 2.276966, 2.274517, 2.27192, 2.26952, 2.266771, 
    2.263972, 2.260773, 2.258024, 2.255275, 2.251476, 2.247278, 2.244029, 
    2.24008, 2.235582, 2.231632, 2.227783, 2.210285, 2.152036, 2.068755, 
    1.984823, 1.89459, 1.79721, 1.70063, 1.615897, 1.539914, 1.498369, 
    1.539914, 1.616147, 1.700779, 1.798609, 1.89689, 1.988072, 2.072953, 
    2.157986, 2.217732, 2.236781, 2.242179, 2.247529, 2.252726, 2.257275, 
    2.261824, 2.266523, 2.271071, 2.274769, 2.277067, 2.278517, 2.279666, 
    2.280015, 2.280015, 2.279065, 2.277914, 2.276014, 2.274114, 2.271965, 
    2.269415, 1.697281, 1.125501, 1.123557, 1.121463, 1.684794, 2.24882, 
    2.24752, 2.24637, 2.245771, 2.245871, 2.24767, 2.251719, 2.258015, 
    2.269214, 2.289864, 2.316616, 1.749222, 1.181611, 0.239329, 0.8436196, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.4730503, 1.647177, 1.968998, 2.013902, 2.068148, 
    2.131841, 2.20628, 2.290119, 2.381853, 2.497737, 2.650417, 2.809044, 
    2.936267, 3.030591, 3.07373, 3.057926, 3.010717, 2.915911, 2.624709, 
    1.266106, 1.724326, 2.138992, 1.977362, 1.881463,
  1.877038, 1.887883, 1.915777, 1.945425, 1.978268, 2.006914, 2.032161, 
    2.053862, 2.077764, 2.103066, 2.136816, 2.175816, 2.212016, 2.244365, 
    2.271565, 2.290363, 2.298512, 2.299661, 2.29841, 2.29606, 2.29476, 
    2.29451, 2.294009, 2.29351, 2.29301, 2.292161, 2.291012, 2.289562, 
    2.288013, 2.286113, 2.283964, 2.281565, 2.279767, 2.278318, 2.277068, 
    2.276219, 2.275519, 2.275519, 2.275619, 2.276669, 2.277518, 2.278718, 
    2.280516, 2.282615, 2.284764, 2.286913, 2.288563, 2.290312, 2.291512, 
    2.29271, 2.294009, 2.295158, 2.295507, 2.296207, 2.297006, 2.297654, 
    2.298503, 2.299003, 2.299452, 2.299802, 2.300502, 2.30085, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.306248, 
    2.32899, 2.395423, 2.5211, 2.698425, 2.932099, 3.247271, 3.620095, 
    4.010319, 4.405094, 4.797747, 5.090449, 5.327542, 5.552039, 5.184906, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5.151294, 5.199513, 4.638258, 
    4.10399, 3.622291, 3.125695, 2.702509, 2.33708, 2.02916, 1.797936, 
    1.625103, 1.473959, 1.339062, 1.238663, 1.197607, 1.233897, 1.349288, 
    1.503427, 1.653318, 1.80321, 1.959697, 2.108732, 2.234768, 2.333164, 
    2.388913, 2.402565, 2.401016, 2.399467, 2.397968, 2.396519, 2.396019, 
    2.395519, 2.396419, 2.396969, 2.398518, 2.400067, 2.402065, 2.404464, 
    2.406013, 2.404764, 2.384819, 2.354479, 2.338286, 2.333293, 2.334904, 
    2.343668, 2.361329, 2.385992, 2.416654, 2.475563, 2.547619, 2.606371, 
    2.647421, 2.664671, 2.670622, 2.662922, 2.503728, 0.8992954, 0, 0, 
    1.054737, 1.144422, 1.135897, 1.132258, 2.158926, 2.27381, 2.275259, 
    2.276709, 2.278508, 2.280458, 2.282007, 2.283556, 2.285457, 2.286807, 
    2.287758, 2.288358, 2.288059, 2.287859, 2.28701, 2.28581, 2.284061, 
    2.282562, 2.280764, 2.278966, 2.276967, 2.274568, 2.272519, 2.270119, 
    2.26702, 2.263922, 2.261273, 2.257924, 2.254525, 2.251127, 2.247777, 
    2.231479, 2.178593, 2.107762, 2.03583, 1.957599, 1.873168, 1.789135, 
    1.716153, 1.651571, 1.616485, 1.651571, 1.716153, 1.789135, 1.874117, 
    1.959397, 2.038579, 2.111462, 2.183942, 2.237427, 2.255274, 2.259824, 
    2.264472, 2.268421, 2.272019, 2.275617, 2.279466, 2.282764, 2.285513, 
    2.287213, 2.288062, 2.288861, 2.28851, 2.288159, 2.287009, 2.285559, 
    2.28376, 2.28196, 2.28046, 2.278412, 1.138506, 0, 0, 0, 0.5623401, 
    1.124331, 1.123683, 1.463935, 2.258769, 2.258868, 2.260168, 2.263266, 
    2.267262, 2.276508, 2.295904, 1.970519, 0.5827798, 0.8267097, 0.2378978, 
    0.8385747, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.426342, 2.063185, 2.109435, 
    2.160379, 2.21867, 2.285708, 2.360844, 2.44283, 2.547212, 2.685739, 
    2.827512, 2.936484, 3.013258, 3.046539, 3.02623, 2.971918, 2.87246, 
    2.713266, 2.504341, 2.309469, 2.136299, 1.991029, 1.900644,
  1.909555, 1.917251, 1.940695, 1.969544, 1.999041, 2.025038, 2.048335, 
    2.069733, 2.093531, 2.119782, 2.153381, 2.19188, 2.226024, 2.255617, 
    2.280962, 2.297558, 2.304756, 2.305306, 2.303454, 2.300904, 2.299504, 
    2.299504, 2.299056, 2.298855, 2.298255, 2.298006, 2.297056, 2.296207, 
    2.295007, 2.293458, 2.29241, 2.290711, 2.289511, 2.288662, 2.287613, 
    2.287363, 2.286763, 2.286513, 2.287014, 2.287513, 2.288013, 2.288862, 
    2.290011, 2.291461, 2.292759, 2.294058, 2.295507, 2.296657, 2.297506, 
    2.298006, 2.298554, 2.299504, 2.299504, 2.299853, 2.300003, 2.300003, 
    2.300252, 2.300501, 2.300501, 2.300651, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.304748, 
    2.322141, 2.378026, 2.487553, 2.647678, 2.863102, 3.158774, 3.511943, 
    3.883565, 4.267809, 4.664017, 4.957818, 5.189309, 5.411004, 5.055169, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.862043, 5.217992, 4.617684, 
    4.071669, 3.596034, 3.106901, 2.694469, 2.344693, 2.058526, 1.847808, 
    1.689584, 1.547102, 1.417013, 1.320573, 1.278877, 1.308568, 1.416806, 
    1.563646, 1.706585, 1.849173, 1.996509, 2.13374, 2.24802, 2.34166, 
    2.397461, 2.411711, 2.410762, 2.409813, 2.408563, 2.408014, 2.407514, 
    2.407014, 2.407914, 2.408164, 2.409013, 2.410213, 2.411562, 2.413311, 
    2.414261, 2.414163, 2.399373, 2.375482, 2.365041, 2.3658, 2.375964, 
    2.394429, 2.421595, 2.457514, 2.498933, 2.564944, 2.640147, 2.698194, 
    2.738592, 2.757145, 2.764398, 2.756598, 2.455825, 0, 0, 0, 0, 0, 0, 0, 
    1.13612, 2.279155, 2.280004, 2.281204, 2.282554, 2.284303, 2.285503, 
    2.286703, 2.288452, 2.289801, 2.291001, 2.291852, 2.292053, 2.292504, 
    2.292255, 2.291306, 2.290457, 2.289357, 2.288759, 2.28781, 2.28651, 
    2.285213, 2.283764, 2.281965, 2.279566, 2.277417, 2.275268, 2.272769, 
    2.27002, 2.26727, 2.264772, 2.252481, 2.211101, 2.153269, 2.093586, 
    2.027603, 1.956122, 1.88464, 1.823657, 1.770723, 1.742078, 1.770723, 
    1.823657, 1.88464, 1.956621, 2.028753, 2.095585, 2.156117, 2.215048, 
    2.25713, 2.27052, 2.274118, 2.277516, 2.280614, 2.283263, 2.285913, 
    2.288911, 2.29111, 2.293259, 2.294358, 2.294557, 2.294706, 2.294006, 
    2.293306, 2.291554, 2.290204, 2.288504, 2.286804, 2.285554, 2.284556, 
    1.141753, 0, 0, 0, 0, 0, 0, 0.3387873, 1.129291, 1.928148, 2.271565, 
    2.273464, 2.275511, 2.281406, 2.297851, 1.620498, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7266352, 2.048479, 2.200729, 2.245618, 2.296104, 
    2.354089, 2.418924, 2.490809, 2.582992, 2.705017, 2.827338, 2.917712, 
    2.976938, 2.997219, 2.972515, 2.912662, 2.808706, 2.653311, 2.462438, 
    2.28847, 2.136902, 2.012583, 1.934755,
  1.95457, 1.96087, 1.980465, 2.007461, 2.034557, 2.058505, 2.080353, 
    2.100001, 2.121546, 2.146592, 2.178288, 2.21333, 2.243023, 2.267817, 
    2.28901, 2.302456, 2.307752, 2.307801, 2.30505, 2.3024, 2.301, 2.301, 
    2.301, 2.300851, 2.300501, 2.300501, 2.299602, 2.299352, 2.298753, 
    2.297804, 2.297454, 2.296856, 2.296007, 2.295507, 2.295058, 2.295008, 
    2.294759, 2.29451, 2.294959, 2.295008, 2.295258, 2.295507, 2.296457, 
    2.297155, 2.297504, 2.298204, 2.299003, 2.299501, 2.300001, 2.300501, 
    2.300551, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.303499, 2.316143, 2.362129, 2.455708, 2.597933, 2.794056, 
    3.068726, 3.400196, 3.751066, 4.13066, 4.531665, 4.824011, 5.049302, 
    5.267247, 5.202574, 1.953412, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.2677679, 3.300343, 4.499993, 3.967494, 3.522212, 3.056209, 2.66144, 
    2.331069, 2.068553, 1.881586, 1.74106, 1.614536, 1.496909, 1.410326, 
    1.374138, 1.400236, 1.500325, 1.638712, 1.773601, 1.907439, 2.044273, 
    2.167503, 2.266531, 2.349812, 2.404358, 2.418357, 2.418008, 2.417308, 
    2.416509, 2.416008, 2.415759, 2.415509, 2.415958, 2.416159, 2.416759, 
    2.417708, 2.418958, 2.419807, 2.420758, 2.421357, 2.412865, 2.396627, 
    2.393037, 2.402401, 2.424571, 2.457045, 2.498869, 2.550494, 2.608972, 
    2.686392, 2.765951, 2.8224, 2.861448, 2.8818, 2.890702, 2.8821, 2.56237, 
    0, 0, 0, 0, 0, 0, 0, 0.113739, 1.13739, 1.709445, 2.282199, 2.283499, 
    2.284648, 2.285497, 2.286697, 2.288047, 2.289799, 2.290998, 2.292199, 
    2.292598, 2.293499, 2.293749, 2.293651, 2.293452, 2.293153, 2.293504, 
    2.293155, 2.292557, 2.292357, 2.291508, 2.290659, 2.289061, 2.287561, 
    2.286012, 2.284463, 2.282064, 2.280066, 2.278516, 2.273126, 2.245044, 
    2.200261, 2.152578, 2.098594, 2.040112, 1.981629, 1.932646, 1.891362, 
    1.865966, 1.891362, 1.932646, 1.981629, 2.040212, 2.099594, 2.154078, 
    2.202261, 2.247592, 2.276624, 2.282764, 2.285063, 2.287462, 2.289461, 
    2.29151, 2.293558, 2.295006, 2.296455, 2.297754, 2.298003, 2.297953, 
    2.297201, 2.296251, 2.2953, 2.293501, 2.2917, 2.290251, 2.288801, 
    2.287551, 2.2867, 1.143, 0, 0, 0, 0, 0, 0, 0, 0, 0.7944281, 1.135396, 
    1.136044, 1.136642, 1.138637, 1.146017, 0.8076918, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.107555, 2.284905, 2.322095, 2.363484, 2.41142, 
    2.464704, 2.525538, 2.60492, 2.709797, 2.812321, 2.885198, 2.927976, 
    2.934758, 2.904847, 2.842644, 2.739853, 2.593623, 2.4222, 2.269727, 
    2.140006, 2.036834, 1.974556,
  2.008073, 2.013672, 2.030418, 2.053864, 2.07856, 2.100457, 2.120805, 
    2.138252, 2.156798, 2.178142, 2.205636, 2.235129, 2.260022, 2.280367, 
    2.29661, 2.306205, 2.309252, 2.30845, 2.3051, 2.3024, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.300551, 2.300501, 2.300501, 2.300152, 
    2.300003, 2.300003, 2.299753, 2.299504, 2.299504, 2.299504, 2.299504, 
    2.299504, 2.299504, 2.299504, 2.299504, 2.299504, 2.299953, 2.300003, 
    2.300003, 2.300352, 2.300501, 2.300501, 2.300751, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.302499, 2.311345, 2.347382, 2.425862, 2.549688, 2.72531, 2.977229, 
    3.285798, 3.614819, 3.980589, 4.383138, 4.672886, 4.890775, 5.104469, 
    5.05271, 1.942993, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.6961201, 3.15949, 3.758901, 3.38387, 2.966152, 2.603656, 2.298895, 
    2.062481, 1.899863, 1.77829, 1.670715, 1.570889, 1.499864, 1.472375, 
    1.497023, 1.588711, 1.717599, 1.843837, 1.969026, 2.095614, 2.205599, 
    2.289029, 2.358461, 2.409405, 2.423507, 2.423507, 2.423157, 2.422507, 
    2.422008, 2.421757, 2.421506, 2.421958, 2.422158, 2.422757, 2.423357, 
    2.424407, 2.424807, 2.425756, 2.426356, 2.423463, 2.415574, 2.421289, 
    2.445915, 2.488249, 2.542984, 2.606668, 2.680502, 2.763439, 2.858266, 
    2.945778, 3.001076, 3.035866, 3.055663, 3.065263, 3.055613, 1.466872, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1.140249, 2.281199, 2.282048, 2.283148, 2.283998, 
    2.285199, 2.286098, 2.287946, 2.289497, 2.290697, 2.291498, 2.292148, 
    2.292999, 2.293499, 2.294, 2.294651, 2.295251, 2.295501, 2.295953, 
    2.296153, 2.296255, 2.296005, 2.295456, 2.294357, 2.293508, 2.292659, 
    2.29106, 2.289711, 2.288761, 2.287463, 2.271026, 2.239243, 2.203559, 
    2.161575, 2.116092, 2.070609, 2.033624, 2.003989, 1.985453, 2.003989, 
    2.033624, 2.070609, 2.116192, 2.162575, 2.204808, 2.240742, 2.272625, 
    2.289961, 2.29176, 2.292858, 2.294456, 2.295807, 2.297005, 2.298204, 
    2.298554, 2.299303, 2.299752, 2.299501, 2.299401, 2.298201, 2.296751, 
    2.2953, 2.2939, 2.2917, 2.2905, 2.2893, 2.288, 2.2867, 1.143, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.2348588, 2.355935, 2.385825, 2.418514, 2.456651, 2.497986, 2.547521, 
    2.613503, 2.70118, 2.784957, 2.841436, 2.87027, 2.866109, 2.830754, 
    2.768657, 2.675074, 2.544495, 2.393473, 2.261751, 2.152777, 2.069503, 
    2.021319,
  2.06407, 2.068269, 2.081914, 2.102261, 2.124307, 2.143554, 2.1617, 
    2.176146, 2.191542, 2.208686, 2.23113, 2.255273, 2.275016, 2.291261, 
    2.303156, 2.309103, 2.310251, 2.308249, 2.30505, 2.3024, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301749, 2.307395, 2.334586, 2.398668, 2.504446, 2.65922, 2.887289, 
    3.17226, 3.47833, 3.821151, 4.211822, 4.498316, 4.707254, 4.915496, 
    4.86202, 1.816515, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.9573322, 2.93381, 3.179406, 2.833558, 2.52013, 2.25008, 2.042668, 
    1.903797, 1.801771, 1.712343, 1.630865, 1.577135, 1.55985, 1.585956, 
    1.670198, 1.789686, 1.906825, 2.023614, 2.141654, 2.242747, 2.313534, 
    2.369969, 2.413906, 2.428005, 2.428005, 2.428005, 2.427105, 2.427005, 
    2.426756, 2.426506, 2.426955, 2.427005, 2.427505, 2.428005, 2.428504, 
    2.429155, 2.429754, 2.430354, 2.430304, 2.431969, 2.457304, 2.509598, 
    2.583846, 2.671044, 2.764235, 2.867226, 2.98167, 3.101908, 3.198118, 
    3.246353, 3.270585, 3.287731, 3.297832, 3.290088, 0.328634, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.5685641, 1.937487, 2.280598, 2.281648, 2.282497, 
    2.283698, 2.284498, 2.285598, 2.287498, 2.288697, 2.289948, 2.290799, 
    2.291748, 2.292348, 2.293499, 2.294499, 2.294999, 2.29585, 2.296499, 
    2.2973, 2.298, 2.298351, 2.298451, 2.298003, 2.297753, 2.297504, 
    2.297005, 2.296206, 2.295506, 2.295157, 2.28902, 2.270236, 2.246552, 
    2.216567, 2.184534, 2.152101, 2.126865, 2.108981, 2.100643, 2.108981, 
    2.126865, 2.152101, 2.184634, 2.217566, 2.247552, 2.270886, 2.289619, 
    2.296656, 2.297255, 2.297504, 2.298454, 2.299152, 2.299501, 2.300201, 
    2.300501, 2.300651, 2.300751, 2.30015, 2.2999, 2.2987, 2.297251, 2.29545, 
    2.2939, 2.2917, 2.2905, 2.2893, 2.288, 2.2867, 1.143, 0, 0, 0, 0, 0, 0, 
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    2.506101, 2.484501, 2.461852, 2.437002, 2.412454, 2.390755, 2.370806, 
    2.352707, 2.338158,
  2.334011, 2.329811, 2.32271, 2.317659, 2.313007, 2.310105, 2.307554, 
    2.305703, 2.304251, 2.30315, 2.30205, 2.301499, 2.301499, 2.301499, 
    2.301499, 2.301499, 2.30125, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
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    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301351, 2.303002, 2.305103, 2.307755, 2.311107, 2.31601, 
    2.321364, 2.327267, 2.333521, 2.342574, 2.360527, 2.391526, 2.444921, 
    2.538514, 2.679351, 2.843238, 3.031973, 3.264006, 3.492484, 3.644427, 
    3.782369, 3.939662, 4.090158, 2.080953, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.4389355, 0.870884, 0.8589063, 1.086088, 
    1.633457, 1.601908, 1.567206, 1.552101, 1.574944, 1.639785, 1.733584, 
    1.832337, 1.92794, 2.030543, 2.148849, 2.269608, 2.36247, 2.418584, 
    2.434349, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 
    2.435, 2.435, 2.435, 2.435, 2.435, 2.437104, 2.525275, 2.770422, 
    3.066869, 3.382215, 3.72746, 4.0692, 4.382534, 4.695515, 5.012186, 
    5.192291, 5.22234, 5.222984, 5.199771, 3.621666, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.3001, 2.2997, 2.298751, 2.29815, 2.297, 2.29585, 2.295001, 2.29415, 
    2.293451, 1.604751, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.418257, 2.397758, 2.379009, 2.362161, 2.348311,
  2.348014, 2.343463, 2.335613, 2.328861, 2.32251, 2.317208, 2.313005, 
    2.309253, 2.306503, 2.304101, 2.302501, 2.301351, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.30115, 
    2.301751, 2.303052, 2.306054, 2.310206, 2.315259, 2.321362, 2.329615, 
    2.339419, 2.349523, 2.360678, 2.374533, 2.395987, 2.427539, 2.477638, 
    2.564182, 2.693523, 2.845264, 3.019053, 3.22868, 3.434511, 3.578704, 
    3.707145, 3.856838, 4.002433, 2.036216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.48119, 1.591467, 1.559015, 1.520009, 
    1.4978, 1.512443, 1.566633, 1.659632, 1.761585, 1.860188, 1.96614, 
    2.091497, 2.222757, 2.32922, 2.401034, 2.432999, 2.435, 2.435, 2.435, 
    2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 
    2.435, 2.441304, 2.545712, 2.833042, 3.178083, 3.541675, 3.935617, 
    4.320805, 4.669736, 5.015865, 5.355737, 5.553412, 5.586819, 5.57926, 
    5.539243, 3.849847, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.135249, 2.27085, 2.27105, 2.271651, 2.27225, 2.27285, 2.160501, 
    0.7980043, 0, 0, 0.2288504, 2.289404, 2.292004, 2.293204, 2.294504, 
    2.295805, 2.297504, 2.298854, 2.299953, 2.300653, 2.301002, 2.301351, 
    2.301501, 2.301501, 2.30125, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.3001, 2.29985, 2.299251, 2.2983, 2.297451, 
    2.29635, 2.29575, 2.294801, 2.29395, 1.949656, 0.5742606, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3648421, 
    1.218144, 2.075796, 2.452453, 2.465454, 2.480004, 2.495605, 2.511955, 
    2.527605, 2.540755, 2.550404, 2.556753, 2.558553, 2.554753, 2.545703, 
    2.530754, 2.511704, 2.492005, 2.471257, 2.448658, 2.42771, 2.408762, 
    2.391563, 2.375663, 2.362314,
  2.366518, 2.361267, 2.352466, 2.343414, 2.335012, 2.32731, 2.320508, 
    2.314305, 2.310003, 2.306402, 2.303601, 2.302201, 2.30125, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.30125, 2.301852, 2.302052, 2.302653, 2.303254, 2.303855, 
    2.304556, 2.305808, 2.307258, 2.31011, 2.314711, 2.321814, 2.329766, 
    2.339469, 2.351673, 2.366127, 2.381532, 2.398687, 2.419393, 2.446049, 
    2.480302, 2.529952, 2.611999, 2.733144, 2.872532, 3.028714, 3.213744, 
    3.398527, 3.535221, 3.654765, 3.796558, 3.937204, 2.002726, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2373518, 
    1.167823, 1.522072, 1.475264, 1.441903, 1.447195, 1.490987, 1.583086, 
    1.687338, 1.78894, 1.898243, 2.030698, 2.173358, 2.295222, 2.383486, 
    2.431649, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 
    2.435, 2.435, 2.435, 2.435, 2.436502, 2.448158, 2.561665, 2.872727, 
    3.253798, 3.654821, 4.088397, 4.510823, 4.891147, 5.264465, 5.626031, 
    5.853056, 5.901975, 5.890677, 5.545883, 1.977332, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1.135, 2.271051, 2.272552, 2.274304, 2.276006, 
    2.278058, 2.28006, 1.597407, 0, 0, 0.1143581, 1.491562, 2.303515, 
    2.303163, 2.302659, 2.303809, 2.305509, 2.306159, 2.306408, 2.305856, 
    2.305256, 2.304654, 2.303553, 2.302851, 2.302251, 2.301651, 2.30105, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.300501, 2.3, 2.2995, 
    2.298651, 2.29795, 2.29685, 2.29625, 2.2953, 2.294451, 2.29335, 1.72046, 
    0.3443758, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.7285502, 2.432501, 2.442451, 2.455503, 2.469603, 2.484754, 
    2.500604, 2.517454, 2.533455, 2.546004, 2.555404, 2.561254, 2.562554, 
    2.559004, 2.550555, 2.536356, 2.518858, 2.500259, 2.48131, 2.460662, 
    2.441814, 2.425016, 2.409267, 2.393718, 2.380818,
  2.390021, 2.38407, 2.373419, 2.361666, 2.350514, 2.340061, 2.330509, 
    2.321707, 2.315255, 2.310204, 2.305652, 2.303201, 2.302001, 2.30115, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.30105, 2.301651, 2.302502, 2.304052, 2.305604, 2.307956, 2.310007, 
    2.31276, 2.315562, 2.318763, 2.322016, 2.327018, 2.334221, 2.344072, 
    2.355275, 2.368578, 2.384781, 2.404485, 2.42579, 2.449545, 2.477851, 
    2.511408, 2.550062, 2.601665, 2.681864, 2.796209, 2.919544, 3.05548, 
    3.217662, 3.382697, 3.512491, 3.623734, 3.755976, 3.891321, 1.978734, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7584904, 1.491428, 1.436373, 1.390212, 1.385454, 1.419897, 1.510645, 
    1.616647, 1.720198, 1.833201, 1.971004, 2.124412, 2.262224, 2.366437, 
    2.430349, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 
    2.435, 2.435, 2.435, 2.435751, 2.441756, 2.460011, 2.581667, 2.903123, 
    3.300028, 3.715128, 4.163878, 4.602629, 4.996529, 5.377473, 5.744066, 
    5.990223, 6.053528, 6.042626, 5.404027, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.135, 2.272101, 2.276003, 2.280056, 2.284508, 
    2.290361, 2.295866, 1.608962, 0, 0, 0, 0.6984071, 2.326772, 2.32307, 
    2.318817, 2.318314, 2.320014, 2.320314, 2.318512, 2.316561, 2.31451, 
    2.312458, 2.310108, 2.308558, 2.307006, 2.305805, 2.305006, 2.304506, 
    2.304506, 2.304506, 2.304506, 2.304506, 2.304506, 2.304506, 2.304506, 
    2.304506, 2.304506, 2.304506, 2.304506, 2.304506, 2.304255, 2.304005, 
    2.304005, 2.303854, 2.303504, 2.303504, 2.303003, 2.302502, 2.302252, 
    2.302002, 2.301551, 2.301501, 2.30125, 2.301, 2.3009, 2.3, 2.29975, 
    2.29915, 2.29805, 2.297351, 2.2965, 2.295651, 2.29495, 2.2937, 2.29225, 
    1.489872, 1.144715, 1.14156, 1.139056, 0.3414915, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1211922, 1.577045, 2.43325, 
    2.444502, 2.459003, 2.474254, 2.490005, 2.506105, 2.523005, 2.539305, 
    2.551505, 2.560554, 2.566254, 2.567705, 2.564755, 2.557607, 2.545359, 
    2.52981, 2.513012, 2.496214, 2.478116, 2.461418, 2.446769, 2.43247, 
    2.418122, 2.405172,
  2.419024, 2.412023, 2.398921, 2.384419, 2.370267, 2.356815, 2.343611, 
    2.33226, 2.323758, 2.316656, 2.310655, 2.306905, 2.304754, 2.303653, 
    2.303053, 2.302853, 2.302502, 2.302152, 2.301952, 2.301501, 2.301501, 
    2.30115, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301601, 2.303452, 2.305503, 2.308254, 2.312106, 
    2.317209, 2.322262, 2.328364, 2.334517, 2.34052, 2.346772, 2.354424, 
    2.365127, 2.37798, 2.392783, 2.409685, 2.430339, 2.455493, 2.483048, 
    2.513403, 2.55026, 2.591716, 2.637072, 2.693627, 2.774629, 2.882524, 
    2.989062, 3.106449, 3.247133, 3.393569, 3.515012, 3.615803, 3.736193, 
    3.862484, 1.962741, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.3756847, 1.242147, 1.404528, 1.349024, 1.333966, 
    1.359159, 1.44285, 1.54995, 1.655202, 1.771304, 1.913157, 2.07361, 
    2.224217, 2.344029, 2.424092, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 
    2.435, 2.435, 2.435, 2.435, 2.435, 2.43505, 2.437752, 2.449756, 2.474711, 
    2.603166, 2.929318, 3.321756, 3.725389, 4.161971, 4.591105, 4.974941, 
    5.341625, 5.691856, 5.936448, 5.997139, 5.986792, 3.002522, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5666474, 1.934242, 2.282507, 
    2.289459, 2.297262, 2.307515, 2.31897, 1.626115, 0, 0, 0, 0.7086086, 
    2.359277, 2.351975, 2.344222, 2.340319, 2.34227, 2.341769, 2.337567, 
    2.333615, 2.330014, 2.326764, 2.323613, 2.321262, 2.318511, 2.316811, 
    2.31596, 2.31486, 2.31451, 2.31451, 2.31451, 2.31451, 2.31451, 2.31451, 
    2.31451, 2.31451, 2.31451, 2.31451, 2.31451, 2.31451, 2.31426, 2.31366, 
    2.31346, 2.312709, 2.311759, 2.310807, 2.309457, 2.307705, 2.306254, 
    2.305153, 2.304003, 2.302851, 2.302251, 2.301651, 2.301, 2.30035, 2.3, 
    2.2993, 2.298501, 2.2977, 2.29675, 2.29615, 2.29495, 2.293199, 2.291249, 
    2.288248, 2.283296, 2.275394, 2.26749, 1.466277, 0.1124186, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8395094, 1.326076, 2.421849, 
    2.4335, 2.446902, 2.463454, 2.479904, 2.496255, 2.512605, 2.529906, 
    2.545805, 2.557755, 2.566555, 2.572355, 2.574856, 2.573008, 2.567659, 
    2.55786, 2.545063, 2.531016, 2.516618, 2.50157, 2.487372, 2.474523, 
    2.461674, 2.448524, 2.435525,
  2.454027, 2.445976, 2.429974, 2.412822, 2.39552, 2.378567, 2.362166, 
    2.348164, 2.337262, 2.32811, 2.320659, 2.315608, 2.312257, 2.310657, 
    2.309506, 2.308205, 2.307004, 2.305804, 2.304903, 2.303352, 2.302751, 
    2.301801, 2.301451, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.30125, 2.301851, 2.303602, 2.306903, 2.311005, 2.316157, 
    2.32311, 2.331763, 2.341016, 2.351319, 2.361973, 2.371776, 2.381278, 
    2.392531, 2.407184, 2.424387, 2.44279, 2.463293, 2.488446, 2.5195, 
    2.553805, 2.591611, 2.638168, 2.689126, 2.743082, 2.806487, 2.89074, 
    2.989281, 3.080571, 3.18131, 3.302047, 3.428331, 3.536269, 3.624259, 
    3.538176, 1.923319, 0.9768631, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9971356, 1.375479, 1.315527, 1.289469, 
    1.305413, 1.377505, 1.484755, 1.591706, 1.710558, 1.85611, 2.020312, 
    2.180218, 2.315279, 2.411991, 2.435, 2.435, 2.435, 2.435, 2.435, 2.435, 
    2.435, 2.435, 2.435, 2.435, 2.435, 2.4351, 2.439451, 2.457004, 2.488208, 
    2.622612, 2.948461, 3.319741, 3.696269, 4.104546, 4.507373, 4.867404, 
    5.208182, 5.526955, 5.74157, 5.784053, 5.772999, 0.5768799, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7972181, 2.179197, 2.303862, 
    2.315515, 2.329968, 2.347822, 1.649219, 0, 0, 0, 0.7216604, 2.401534, 
    2.391232, 2.38053, 2.372227, 2.372274, 2.369872, 2.364021, 2.35802, 
    2.352769, 2.348217, 2.344017, 2.340116, 2.337016, 2.334965, 2.333064, 
    2.331864, 2.331515, 2.331515, 2.331515, 2.331515, 2.331515, 2.331515, 
    2.331515, 2.331515, 2.331515, 2.331515, 2.331515, 2.331365, 2.331014, 
    2.330314, 2.329413, 2.327713, 2.326262, 2.324112, 2.32146, 2.31826, 
    2.315259, 2.312958, 2.310507, 2.308056, 2.306505, 2.304954, 2.303554, 
    2.302553, 2.301252, 2.300302, 2.299451, 2.298051, 2.29675, 2.295449, 
    2.293448, 2.291048, 2.288247, 2.284046, 2.276794, 2.265992, 2.25349, 
    2.238887, 0.2234986, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.66914, 2.402744, 2.418747, 2.434001, 2.450303, 2.468904, 2.486555, 
    2.503756, 2.520957, 2.538357, 2.553656, 2.565006, 2.573906, 2.580857, 
    2.584658, 2.584509, 2.581561, 2.574864, 2.565316, 2.554268, 2.542871, 
    2.531073, 2.519825, 2.509027, 2.497528, 2.484928, 2.471528,
  2.494529, 2.485778, 2.467027, 2.447075, 2.426272, 2.40582, 2.386618, 
    2.369566, 2.356515, 2.345563, 2.336162, 2.329461, 2.32526, 2.322459, 
    2.320008, 2.317408, 2.314756, 2.312105, 2.309503, 2.307053, 2.305252, 
    2.303452, 2.302451, 2.301351, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301501, 2.302001, 2.302252, 2.302853, 2.303503, 2.304154, 
    2.304755, 2.305356, 2.306007, 2.306508, 2.307007, 2.308558, 2.311609, 
    2.31651, 2.323011, 2.331263, 2.342116, 2.354819, 2.368522, 2.383625, 
    2.399429, 2.413682, 2.426784, 2.441636, 2.460189, 2.481291, 2.503293, 
    2.527746, 2.55765, 2.595655, 2.63756, 2.684717, 2.742726, 2.805985, 
    2.870843, 2.9434, 3.027447, 3.11414, 3.192583, 3.278723, 3.380361, 
    3.483995, 3.572531, 3.644268, 1.854314, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9792897, 1.348984, 
    1.286082, 1.251228, 1.257672, 1.319515, 1.427066, 1.535967, 1.657469, 
    1.80562, 1.972572, 2.138224, 2.286031, 2.398991, 2.434649, 2.435, 2.435, 
    2.435, 2.435, 2.43475, 2.434499, 2.435551, 2.437153, 2.437503, 2.437503, 
    2.437603, 2.442403, 2.463254, 2.499507, 2.638209, 2.948591, 3.289468, 
    3.633846, 4.008072, 4.377999, 4.708629, 5.019309, 5.296329, 5.462046, 
    5.488041, 5.472738, 0.5467788, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.034468, 1.506827, 2.339267, 2.357921, 2.381073, 
    1.676869, 0, 0, 0, 0.3640138, 1.830457, 2.440185, 2.426483, 2.41388, 
    2.409527, 2.404826, 2.397475, 2.389573, 2.382522, 2.376521, 2.37102, 
    2.36597, 2.362269, 2.359619, 2.357119, 2.355868, 2.355518, 2.355518, 
    2.355518, 2.355518, 2.355518, 2.355518, 2.355518, 2.355518, 2.355518, 
    2.355518, 2.355518, 2.355368, 2.354769, 2.353818, 2.351968, 2.349567, 
    2.347266, 2.344265, 2.340015, 2.335464, 2.331263, 2.327412, 2.323061, 
    2.319259, 2.316258, 2.312907, 2.310055, 2.307755, 2.305254, 2.303102, 
    2.300951, 2.29825, 2.295749, 2.293248, 2.289997, 2.286596, 2.282245, 
    2.276844, 2.267793, 2.254892, 2.239491, 2.220939, 1.096765, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.08110806, 0.8185906, 0.8553895, 0.2623996, 0, 0, 
    0, 1.656543, 2.395646, 2.415098, 2.435251, 2.454703, 2.474954, 2.494355, 
    2.512756, 2.530807, 2.547857, 2.562506, 2.573756, 2.583257, 2.591408, 
    2.597259, 2.599511, 2.599313, 2.596365, 2.590719, 2.583272, 2.575124, 
    2.566576, 2.558428, 2.549779, 2.53973, 2.527831, 2.51388,
  2.540531, 2.53073, 2.509929, 2.486676, 2.462524, 2.439072, 2.41622, 
    2.396469, 2.381267, 2.368516, 2.357165, 2.348513, 2.342762, 2.338761, 
    2.334561, 2.330459, 2.326008, 2.321207, 2.316105, 2.312104, 2.308752, 
    2.306102, 2.303601, 2.302201, 2.30125, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.30125, 2.301851, 2.303051, 2.304802, 2.306504, 2.308555, 2.311056, 
    2.314108, 2.31651, 2.318912, 2.321013, 2.323114, 2.325767, 2.329118, 
    2.334621, 2.342273, 2.351525, 2.362527, 2.377129, 2.393881, 2.411783, 
    2.430735, 2.450887, 2.468789, 2.48454, 2.501691, 2.523143, 2.547194, 
    2.572546, 2.600698, 2.636252, 2.681606, 2.732062, 2.790219, 2.862329, 
    2.940939, 3.019349, 3.103706, 3.185206, 3.262401, 3.330845, 3.403838, 
    3.487127, 3.567712, 2.710644, 1.826612, 0.1834702, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9642408, 
    1.326036, 1.261636, 1.221483, 1.218077, 1.270071, 1.375017, 1.485718, 
    1.609369, 1.75912, 1.92737, 2.09447, 2.252126, 2.380936, 2.429644, 
    2.433748, 2.433999, 2.433999, 2.433999, 2.433749, 2.43385, 2.437552, 
    2.442104, 2.444005, 2.444506, 2.444556, 2.448755, 2.470004, 2.509456, 
    2.649005, 2.928734, 3.234211, 3.543888, 3.881264, 4.216543, 4.516123, 
    4.796103, 5.027874, 5.142441, 5.161788, 5.142635, 0.5136785, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3513099, 1.774778, 
    2.392524, 2.419826, 2.079535, 1.243804, 1.252966, 0.1255068, 0, 1.251268, 
    2.494485, 2.478484, 2.462532, 2.45378, 2.446778, 2.437477, 2.427626, 
    2.418775, 2.411674, 2.404623, 2.398823, 2.394272, 2.390771, 2.388121, 
    2.386721, 2.386021, 2.386021, 2.386021, 2.386021, 2.386021, 2.386021, 
    2.386021, 2.386021, 2.386021, 2.386021, 2.386021, 2.385871, 2.385021, 
    2.383821, 2.381471, 2.37827, 2.375019, 2.371069, 2.365518, 2.359517, 
    2.353766, 2.348015, 2.341964, 2.335812, 2.33076, 2.325359, 2.320057, 
    2.315305, 2.310753, 2.306202, 2.3019, 2.296948, 2.292747, 2.288546, 
    2.283545, 2.278644, 2.272993, 2.266292, 2.255791, 2.24159, 2.224991, 
    2.20454, 2.068475, 0.7488859, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8050035, 
    1.637002, 1.709251, 0.5239498, 0, 0, 0.5634541, 1.985518, 2.391749, 
    2.41385, 2.437001, 2.459453, 2.481955, 2.503306, 2.523007, 2.541307, 
    2.557856, 2.572006, 2.583756, 2.594457, 2.604009, 2.61251, 2.617762, 
    2.620915, 2.621917, 2.62077, 2.617522, 2.613225, 2.608028, 2.602679, 
    2.596281, 2.587782, 2.576332, 2.562082,
  2.592032, 2.580831, 2.557829, 2.531428, 2.504276, 2.477474, 2.451272, 
    2.42887, 2.411519, 2.396618, 2.383617, 2.372916, 2.365265, 2.359714, 
    2.353562, 2.347361, 2.340509, 2.333308, 2.325607, 2.319005, 2.313504, 
    2.309402, 2.305652, 2.303551, 2.302001, 2.30115, 2.301, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 
    2.30115, 2.302251, 2.304052, 2.306553, 2.309904, 2.314005, 2.318808, 
    2.32461, 2.331362, 2.336514, 2.341666, 2.346468, 2.35102, 2.357271, 
    2.363873, 2.372675, 2.383727, 2.395278, 2.408579, 2.426131, 2.446282, 
    2.467534, 2.489836, 2.513388, 2.53424, 2.551791, 2.570742, 2.594644, 
    2.621445, 2.650047, 2.6818, 2.723303, 2.776208, 2.836064, 2.907122, 
    2.995932, 3.092344, 3.185853, 3.278655, 3.358403, 3.42875, 3.489597, 
    3.551841, 3.618182, 3.110858, 0.9129314, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9509431, 1.30614, 
    1.24164, 1.196236, 1.18233, 1.224724, 1.323821, 1.435972, 1.561073, 
    1.711572, 1.879722, 2.046472, 2.212526, 2.356835, 2.419193, 2.429747, 
    2.430847, 2.431448, 2.431648, 2.431999, 2.4334, 2.440001, 2.447353, 
    2.451754, 2.453355, 2.453455, 2.456455, 2.476504, 2.516152, 2.653951, 
    2.897178, 3.162452, 3.433679, 3.731905, 4.030283, 4.297363, 4.545194, 
    4.731267, 4.806252, 4.823302, 4.805006, 2.325285, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5985494, 2.069601, 2.46653, 
    2.493731, 2.511281, 2.529181, 1.284557, 0, 1.280017, 2.551984, 2.535384, 
    2.516984, 2.504281, 2.49508, 2.483979, 2.472178, 2.461777, 2.453476, 
    2.445176, 2.438525, 2.433024, 2.428925, 2.425674, 2.424224, 2.423524, 
    2.423524, 2.423524, 2.423524, 2.423524, 2.423524, 2.423524, 2.423524, 
    2.423524, 2.423524, 2.423524, 2.423224, 2.422024, 2.420474, 2.417923, 
    2.413973, 2.409522, 2.404371, 2.397921, 2.39007, 2.382519, 2.374617, 
    2.366416, 2.357564, 2.349512, 2.34146, 2.333008, 2.324556, 2.317004, 
    2.309452, 2.3015, 2.293848, 2.286996, 2.280494, 2.273093, 2.266492, 
    2.259991, 2.252091, 2.240741, 2.22589, 2.209991, 2.189892, 2.161592, 
    1.806513, 0.5241121, 0, 0.09771411, 0.6839988, 0, 0, 0, 0, 0, 0.5697654, 
    1.533752, 1.646208, 1.715506, 0.5251516, 0, 0, 1.122496, 2.315346, 
    2.388848, 2.413599, 2.439752, 2.465554, 2.490856, 2.513757, 2.534257, 
    2.552306, 2.568407, 2.582657, 2.595007, 2.607008, 2.619009, 2.630261, 
    2.638763, 2.645865, 2.651418, 2.654821, 2.655774, 2.655325, 2.653928, 
    2.65143, 2.647531, 2.640132, 2.629282, 2.614782,
  2.645028, 2.632778, 2.607327, 2.578325, 2.548774, 2.519223, 2.490722, 
    2.465921, 2.44677, 2.43007, 2.415169, 2.402968, 2.393517, 2.385816, 
    2.377565, 2.369113, 2.359262, 2.34906, 2.338558, 2.328906, 2.321005, 
    2.314504, 2.309152, 2.305752, 2.303251, 2.301801, 2.30105, 2.301, 2.301, 
    2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301, 2.301501, 
    2.302451, 2.304752, 2.308103, 2.313054, 2.319156, 2.326258, 2.33476, 
    2.345113, 2.356266, 2.364768, 2.372919, 2.380921, 2.388122, 2.397023, 
    2.406975, 2.418627, 2.431527, 2.444778, 2.460129, 2.47973, 2.503032, 
    2.527283, 2.553285, 2.580438, 2.60499, 2.625292, 2.646643, 2.672744, 
    2.702546, 2.734047, 2.769399, 2.816802, 2.876956, 2.947312, 3.032369, 
    3.13953, 3.255841, 3.366601, 3.464404, 3.542254, 3.609203, 3.665602, 
    3.719898, 3.77104, 2.657607, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9390435, 1.288741, 1.224942, 
    1.177242, 1.15544, 1.189385, 1.282582, 1.39323, 1.51893, 1.66958, 
    1.83728, 2.002478, 2.170826, 2.327281, 2.402738, 2.421494, 2.425547, 
    2.427397, 2.428448, 2.429749, 2.432099, 2.441, 2.451101, 2.458003, 
    2.461054, 2.460853, 2.462002, 2.48, 2.517599, 2.636881, 2.833501, 
    3.050923, 3.277447, 3.532071, 3.790548, 4.022829, 4.23691, 4.377435, 
    4.441037, 4.462791, 4.453398, 3.987624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6274318, 2.125081, 2.520681, 2.549181, 
    2.566531, 2.58353, 2.341628, 0, 1.309767, 2.612534, 2.596785, 2.577235, 
    2.561283, 2.549882, 2.537431, 2.52373, 2.511779, 2.502278, 2.492728, 
    2.485227, 2.478777, 2.474076, 2.470226, 2.468726, 2.467776, 2.467525, 
    2.467525, 2.467526, 2.467525, 2.467525, 2.467525, 2.467526, 2.467525, 
    2.467525, 2.467525, 2.467376, 2.466276, 2.464126, 2.460975, 2.456675, 
    2.451025, 2.444674, 2.436923, 2.427623, 2.417771, 2.40757, 2.396418, 
    2.384166, 2.372764, 2.361362, 2.348509, 2.335656, 2.324254, 2.312852, 
    2.300549, 2.289247, 2.279746, 2.270244, 2.260092, 2.251191, 2.24349, 
    2.23474, 2.222739, 2.207539, 2.191989, 2.172589, 2.145289, 2.108341, 
    1.557805, 1.017756, 1.091674, 1.653112, 0.4790206, 0, 0, 0, 0, 1.143105, 
    1.627057, 1.660057, 1.727507, 0.528302, 0, 0.3204482, 1.653831, 2.3116, 
    2.38645, 2.413651, 2.443753, 2.473154, 2.501206, 2.524906, 2.545756, 
    2.563807, 2.579957, 2.594807, 2.608007, 2.621558, 2.63646, 2.650662, 
    2.662764, 2.673466, 2.683418, 2.69137, 2.696272, 2.699425, 2.701426, 
    2.701878, 2.699778, 2.693479, 2.683229, 2.668629,
  2.695525, 2.682575, 2.655774, 2.625024, 2.594023, 2.563023, 2.532772, 
    2.506621, 2.486271, 2.46837, 2.45212, 2.438169, 2.427269, 2.417768, 
    2.407516, 2.396515, 2.384014, 2.370813, 2.357061, 2.34446, 2.334509, 
    2.325958, 2.318657, 2.313607, 2.310256, 2.308306, 2.307106, 2.307006, 
    2.307006, 2.307006, 2.307006, 2.307006, 2.307006, 2.307006, 2.307006, 
    2.307006, 2.307006, 2.307006, 2.308006, 2.309756, 2.313257, 2.318508, 
    2.326159, 2.336061, 2.346763, 2.359215, 2.374618, 2.39067, 2.402522, 
    2.413323, 2.423474, 2.433075, 2.443775, 2.455526, 2.468976, 2.482326, 
    2.496777, 2.514027, 2.535829, 2.56228, 2.589782, 2.619384, 2.651386, 
    2.680389, 2.704291, 2.728542, 2.756794, 2.788995, 2.822796, 2.861848, 
    2.913949, 2.981504, 3.062809, 3.161966, 3.288076, 3.424636, 3.549841, 
    3.650541, 3.728692, 3.795542, 3.850592, 3.89934, 3.735281, 1.353485, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.46608, 1.206526, 1.211194, 1.166497, 1.139644, 1.16599, 
    1.253287, 1.359235, 1.485135, 1.635534, 1.801683, 1.963981, 2.128379, 
    2.293233, 2.380288, 2.409243, 2.418596, 2.421447, 2.423447, 2.424996, 
    2.427246, 2.437547, 2.450048, 2.458748, 2.462898, 2.461798, 2.460897, 
    2.476496, 2.512045, 2.594776, 2.736698, 2.90017, 3.074842, 3.276963, 
    3.489137, 3.683066, 3.861598, 3.964633, 4.034538, 4.064792, 4.068099, 
    3.847271, 1.35131, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.270517, 2.553983, 2.580281, 2.60783, 2.624279, 2.640379, 
    2.529163, 1.355714, 2.0202, 2.676283, 2.663135, 2.643785, 2.625284, 
    2.611333, 2.597432, 2.582281, 2.56853, 2.557579, 2.547129, 2.538228, 
    2.531528, 2.525878, 2.521677, 2.519727, 2.518777, 2.518528, 2.518528, 
    2.518528, 2.518528, 2.518528, 2.518528, 2.518528, 2.518528, 2.518528, 
    2.518528, 2.518378, 2.517027, 2.514627, 2.510927, 2.505526, 2.499276, 
    2.491975, 2.482875, 2.471673, 2.459523, 2.446671, 2.432369, 2.416117, 
    2.400765, 2.385063, 2.367511, 2.350108, 2.334256, 2.318404, 2.302503, 
    2.287351, 2.273998, 2.260296, 2.246644, 2.234942, 2.22474, 2.214539, 
    2.201288, 2.185088, 2.168737, 2.149938, 2.124389, 2.09074, 2.059492, 
    2.026844, 1.982997, 1.937648, 0.9567497, 0, 0, 0, 0, 0.5734218, 1.555872, 
    1.669303, 1.7335, 1.174649, 0.1935948, 1.350064, 2.18675, 2.312952, 
    2.388953, 2.417904, 2.450755, 2.482555, 2.512155, 2.536556, 2.558007, 
    2.576307, 2.592957, 2.608607, 2.623258, 2.638609, 2.65601, 2.673412, 
    2.688763, 2.703065, 2.716867, 2.728269, 2.73652, 2.743021, 2.747473, 
    2.750324, 2.749774, 2.744675, 2.734725, 2.720125,
  2.742521, 2.729571, 2.702721, 2.671371, 2.639771, 2.608171, 2.577271, 
    2.550471, 2.529521, 2.511021, 2.494071, 2.47902, 2.46752, 2.458121, 
    2.450074, 2.442579, 2.434534, 2.425439, 2.413192, 2.402445, 2.394297, 
    2.38755, 2.382002, 2.376352, 2.371551, 2.367449, 2.364398, 2.365198, 
    2.366049, 2.3669, 2.364398, 2.359193, 2.354038, 2.349234, 2.34583, 
    2.351986, 2.360044, 2.368451, 2.368901, 2.371101, 2.375802, 2.382953, 
    2.393204, 2.403152, 2.406043, 2.410334, 2.418074, 2.436924, 2.451525, 
    2.464026, 2.475426, 2.485876, 2.497526, 2.509526, 2.523427, 2.536826, 
    2.551527, 2.570427, 2.594828, 2.624179, 2.655531, 2.688983, 2.726736, 
    2.760588, 2.78854, 2.815441, 2.845792, 2.880093, 2.916545, 2.959296, 
    3.015699, 3.090902, 3.182307, 3.294712, 3.43957, 3.593077, 3.722577, 
    3.824427, 3.905079, 3.97378, 4.030082, 4.07518, 2.015416, 0, 0, 0, 0, 0, 
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    2.907015, 2.907015, 2.907014, 2.907015, 2.907015, 2.907015, 2.907014, 
    2.907015, 2.907015, 2.907015, 2.906965, 2.906215, 2.904515, 2.900715, 
    2.894415, 2.886115, 2.876015, 2.864515, 2.848265, 2.827465, 2.804265, 
    2.776164, 2.740614, 2.699614, 2.658013, 2.59821, 2.519455, 2.426899, 
    2.340494, 1.483324, 0.1129894, 0.3166696, 0.5277826, 0, 0, 0.608247, 
    2.025491, 2.019641, 2.013442, 2.001942, 1.993493, 1.987493, 1.980344, 
    1.976146, 1.967247, 1.953098, 1.934499, 1.91515, 1.896751, 1.872053, 
    1.840706, 1.538114, 1.331521, 1.773468, 1.595971, 0, 0, 0, 0, 0, 0, 0, 
    1.239771, 2.521059, 2.559758, 2.595308, 2.627157, 2.653807, 2.678007, 
    2.698707, 2.719507, 2.740307, 2.760007, 2.781807, 2.806057, 2.830557, 
    2.852757, 2.873556, 2.893706, 2.909955, 2.923005, 2.933255, 2.940905, 
    2.946254, 2.948255, 2.946755, 2.942205, 2.933755,
  2.938504, 2.931504, 2.917355, 2.901105, 2.884506, 2.867557, 2.851108, 
    2.836509, 2.825259, 2.81541, 2.80681, 2.811512, 2.834513, 2.870465, 
    2.921867, 2.97997, 3.035522, 3.088625, 3.135377, 3.163629, 3.17103, 
    3.16268, 3.14478, 3.116379, 3.083277, 3.044925, 3.005123, 2.981472, 
    2.973771, 2.96957, 2.957069, 2.938119, 2.926769, 2.94097, 2.995972, 
    3.086624, 3.179026, 3.270028, 3.339729, 3.367929, 3.361779, 3.346179, 
    3.303527, 3.234326, 3.160275, 3.098475, 3.050075, 3.039627, 3.065778, 
    3.10908, 3.149333, 3.186035, 3.218787, 3.241039, 3.25039, 3.249589, 
    3.249039, 3.251288, 3.257737, 3.274735, 3.303534, 3.353333, 3.444785, 
    3.540987, 3.61879, 3.673141, 3.709892, 3.742291, 3.775791, 3.807888, 
    3.839184, 3.862378, 3.913772, 4.005067, 4.166412, 4.35296, 4.486009, 
    4.613809, 4.74841, 3.392907, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7115067, 
    1.393262, 1.341808, 1.306802, 1.306997, 1.360743, 1.481441, 1.656843, 
    1.835746, 2.021299, 2.215051, 2.391004, 2.519758, 2.606861, 2.633611, 
    2.610559, 2.557756, 2.495852, 2.435198, 2.387045, 2.352493, 2.327392, 
    2.309342, 2.298292, 2.295743, 2.300193, 2.307342, 2.305243, 2.291492, 
    2.265493, 2.227792, 2.193992, 2.17524, 2.170138, 2.177285, 2.168082, 
    2.140481, 2.118478, 0.2113977, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.8641525, 2.882759, 2.887108, 2.892108, 2.899557, 
    2.914007, 2.935808, 2.958258, 2.976608, 2.990258, 3.002508, 3.013958, 
    3.023509, 3.027009, 3.02316, 3.01296, 3.001459, 2.99201, 2.98396, 
    2.97661, 2.97081, 2.966261, 2.962411, 2.960011, 2.958361, 2.958011, 
    2.958011, 2.958011, 2.958011, 2.958011, 2.958011, 2.958011, 2.958011, 
    2.958011, 2.958011, 2.958011, 2.957711, 2.955761, 2.952061, 2.945911, 
    2.937611, 2.927511, 2.916011, 2.899761, 2.878961, 2.855261, 2.826661, 
    2.790161, 2.748311, 2.702759, 2.629556, 2.530802, 2.065735, 1.164216, 
    1.110443, 1.071491, 1.362484, 1.552728, 1.010063, 0.9938555, 1.285813, 
    1.987491, 1.98249, 1.97754, 1.676507, 1.475769, 1.958893, 1.955544, 
    1.957945, 1.954997, 1.944698, 1.930499, 1.916151, 1.904503, 1.888655, 
    1.869408, 1.581836, 1.389723, 1.846218, 0.9112686, 0, 0, 0, 0, 0, 0, 
    0.8785527, 1.398275, 2.556009, 2.591508, 2.625257, 2.655707, 2.681807, 
    2.705756, 2.726206, 2.747407, 2.767807, 2.787507, 2.808606, 2.832056, 
    2.855606, 2.876005, 2.895355, 2.913754, 2.928654, 2.940503, 2.949553, 
    2.956353, 2.960752, 2.962753, 2.961603, 2.958203, 2.951053,
  2.952502, 2.947253, 2.935903, 2.922853, 2.909754, 2.896305, 2.882655, 
    2.871106, 2.862006, 2.853957, 2.848007, 2.858158, 2.88801, 2.932211, 
    2.993913, 3.063015, 3.129017, 3.192919, 3.250821, 3.288473, 3.300524, 
    3.294025, 3.274675, 3.242524, 3.203023, 3.157222, 3.110121, 3.079619, 
    3.066518, 3.057617, 3.041216, 3.020316, 3.009516, 3.028467, 3.091068, 
    3.19057, 3.290271, 3.387172, 3.460572, 3.489922, 3.483022, 3.464571, 
    3.41602, 3.340769, 3.263769, 3.201819, 3.156169, 3.15047, 3.182521, 
    3.232772, 3.282574, 3.332327, 3.376779, 3.406181, 3.418681, 3.417932, 
    3.416281, 3.414981, 3.41508, 3.423478, 3.444776, 3.492676, 3.590927, 
    3.697829, 3.786781, 3.848782, 3.887583, 3.917232, 3.945781, 3.96768, 
    3.978225, 3.97407, 3.999514, 4.064859, 4.204004, 4.377501, 4.503749, 
    4.627898, 4.762898, 3.403748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7816983, 
    0.8138605, 1.130154, 1.438408, 1.372205, 1.314801, 1.291747, 1.328894, 
    1.440141, 1.621542, 1.811744, 2.008946, 2.212998, 2.39945, 2.542502, 
    2.642154, 2.671205, 2.642004, 2.577252, 2.5006, 2.423797, 2.361344, 
    2.317743, 2.288842, 2.271042, 2.263193, 2.263744, 2.269544, 2.276495, 
    2.275845, 2.264246, 2.238996, 2.201196, 2.164846, 2.138744, 2.124192, 
    2.11939, 2.095937, 2.060236, 2.025933, 0.2017982, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.434684, 2.184726, 2.921906, 
    2.925156, 2.931556, 2.947507, 2.972207, 2.997508, 3.015808, 3.028508, 
    3.040158, 3.052508, 3.063808, 3.068508, 3.064808, 3.052957, 3.039957, 
    3.031007, 3.024157, 3.018057, 3.012957, 3.009257, 3.006258, 3.004008, 
    3.002508, 3.002508, 3.002508, 3.002508, 3.002508, 3.002508, 3.002508, 
    3.002508, 3.002508, 3.002508, 3.002508, 3.002458, 3.001858, 3.000008, 
    2.996408, 2.990408, 2.982108, 2.972008, 2.960158, 2.943258, 2.922107, 
    2.898507, 2.870007, 2.834108, 2.790807, 2.736005, 2.646552, 1.397516, 
    0.8533241, 0, 1.515144, 2.11654, 2.06544, 2.025491, 1.997442, 1.965442, 
    1.947642, 1.945992, 1.941542, 1.937743, 1.353095, 0.964247, 1.928144, 
    1.162453, 1.937446, 1.940998, 1.937199, 1.92955, 1.922452, 1.919253, 
    1.913956, 1.907108, 1.906861, 1.422327, 0.94269, 0.09446392, 0, 0, 0, 0, 
    0, 0.6287399, 2.1493, 2.560757, 2.592557, 2.626007, 2.657706, 2.686256, 
    2.711156, 2.734256, 2.754906, 2.776406, 2.796505, 2.815255, 2.835055, 
    2.857004, 2.878654, 2.897004, 2.914304, 2.930303, 2.943202, 2.953252, 
    2.960852, 2.966852, 2.970452, 2.971751, 2.970951, 2.968301, 2.962852,
  2.961501, 2.958001, 2.949452, 2.939602, 2.929753, 2.919553, 2.909104, 
    2.900204, 2.893504, 2.887155, 2.883705, 2.899156, 2.935757, 2.987758, 
    3.058959, 3.138561, 3.215013, 3.289364, 3.358766, 3.406767, 3.425269, 
    3.423119, 3.40547, 3.37162, 3.327519, 3.275719, 3.221718, 3.184967, 
    3.165766, 3.151465, 3.129414, 3.105664, 3.095513, 3.118264, 3.186665, 
    3.292916, 3.397766, 3.498417, 3.573967, 3.603767, 3.595767, 3.574116, 
    3.519065, 3.437564, 3.357013, 3.294313, 3.250163, 3.246714, 3.282764, 
    3.338765, 3.398966, 3.465019, 3.526273, 3.568625, 3.588377, 3.590378, 
    3.589778, 3.585677, 3.579276, 3.576825, 3.586522, 3.626671, 3.72667, 
    3.841371, 3.940522, 4.009923, 4.051724, 4.079174, 4.102523, 4.113971, 
    4.102768, 4.069513, 4.066009, 4.102054, 4.2151, 4.371497, 4.485995, 
    4.600493, 4.729092, 3.378194, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6669534, 
    1.681286, 1.650207, 1.553256, 1.472404, 1.393402, 1.3178, 1.271246, 
    1.291193, 1.390742, 1.574642, 1.773743, 1.979844, 2.193245, 2.386746, 
    2.539497, 2.650949, 2.6826, 2.651149, 2.578999, 2.491797, 2.402346, 
    2.328394, 2.278244, 2.246994, 2.230794, 2.228195, 2.234246, 2.243446, 
    2.252597, 2.255098, 2.246748, 2.224049, 2.187949, 2.149649, 2.116998, 
    2.092046, 2.075495, 2.042444, 1.999743, 1.284137, 0.09856991, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.476502, 2.954405, 
    2.957305, 2.965005, 2.983756, 3.012306, 3.040857, 3.060007, 3.071507, 
    3.081957, 3.094456, 3.105656, 3.109506, 3.103206, 3.088005, 3.072654, 
    3.063254, 3.057354, 3.052505, 3.048255, 3.045505, 3.043105, 3.041055, 
    3.040005, 3.040005, 3.040005, 3.040005, 3.040005, 3.040005, 3.040005, 
    3.040005, 3.040005, 3.040005, 3.040005, 3.039955, 3.039356, 3.037755, 
    3.034055, 3.027905, 3.019455, 3.008755, 2.996305, 2.978355, 2.957105, 
    2.933755, 2.905855, 2.871955, 2.826305, 2.758253, 1.734771, 0.13106, 0, 
    0, 1.479094, 2.063692, 2.012742, 1.975742, 1.953093, 1.068083, 0.9632061, 
    0.9622064, 1.620108, 1.900944, 1.329297, 0.9502481, 1.239844, 0.2872705, 
    1.919297, 1.928748, 1.255843, 1.834571, 1.932352, 1.450104, 1.650915, 
    1.850326, 0.9671048, 0.4846021, 0, 0, 0, 0, 0, 0, 0.3790156, 1.900946, 
    2.562306, 2.597756, 2.629106, 2.660255, 2.689305, 2.715454, 2.740154, 
    2.763755, 2.785255, 2.805954, 2.825204, 2.842504, 2.860504, 2.880003, 
    2.899203, 2.915503, 2.930052, 2.943352, 2.954101, 2.962001, 2.968151, 
    2.97245, 2.9753, 2.97625, 2.9758, 2.97345, 2.969651,
  2.9675, 2.965051, 2.959451, 2.952701, 2.945502, 2.938302, 2.931052, 
    2.924653, 2.919753, 2.915203, 2.914403, 2.935304, 2.979005, 3.038456, 
    3.118056, 3.207458, 3.293259, 3.37731, 3.458211, 3.516862, 3.542763, 
    3.546264, 3.533264, 3.500815, 3.454765, 3.399264, 3.339714, 3.297113, 
    3.272263, 3.251962, 3.223511, 3.19521, 3.18451, 3.209861, 3.282761, 
    3.394462, 3.503012, 3.605962, 3.682862, 3.712462, 3.702762, 3.676961, 
    3.615061, 3.52656, 3.441009, 3.375408, 3.329658, 3.325658, 3.364008, 
    3.424759, 3.49801, 3.586013, 3.673267, 3.73917, 3.774422, 3.784574, 
    3.786774, 3.779874, 3.765273, 3.74717, 3.738518, 3.761715, 3.853214, 
    3.969664, 4.076514, 4.152915, 4.199366, 4.226566, 4.246016, 4.247265, 
    4.213662, 4.148858, 4.114254, 4.118851, 4.203047, 4.337344, 4.432992, 
    4.53284, 4.649788, 3.317641, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9159594, 1.017733, 
    1.00623, 1.642421, 1.816054, 1.689204, 1.585503, 1.495802, 1.405151, 
    1.313649, 1.246747, 1.247745, 1.334243, 1.518193, 1.721743, 1.932644, 
    2.152144, 2.350945, 2.509995, 2.631596, 2.668297, 2.636197, 2.561247, 
    2.469847, 2.373347, 2.292496, 2.238996, 2.206496, 2.192996, 2.196347, 
    2.208997, 2.223748, 2.237599, 2.244799, 2.241, 2.222501, 2.189751, 
    2.151401, 2.114001, 2.0808, 2.053499, 2.014748, 1.483137, 0.2933329, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.490751, 
    2.983253, 2.987503, 2.999054, 3.021754, 3.054255, 3.085255, 3.104705, 
    3.114755, 3.123755, 3.135354, 3.144554, 3.145504, 3.134903, 3.115553, 
    3.097502, 3.088252, 3.083903, 3.080053, 3.076903, 3.074753, 3.072953, 
    3.071503, 3.070503, 3.070503, 3.070503, 3.070953, 3.071003, 3.071003, 
    3.071003, 3.071003, 3.071003, 3.071003, 3.071003, 3.071003, 3.070703, 
    3.069003, 3.065203, 3.058403, 3.049303, 3.037753, 3.024103, 3.006303, 
    2.985103, 2.961252, 2.933903, 2.902003, 2.855003, 2.772501, 0.8196001, 0, 
    0, 0, 0.729933, 1.115189, 1.960944, 1.453887, 0.9650293, 0.09627798, 0, 
    0, 0.6592492, 1.775125, 1.308648, 0.4718921, 0.2831352, 0.9404214, 
    1.902998, 1.917749, 1.251554, 1.837723, 1.944752, 1.472614, 1.684221, 
    0.9863201, 0, 0.5306213, 0.3183728, 0, 0, 0.5963864, 1.214128, 1.252236, 
    1.659206, 2.567255, 2.602955, 2.637255, 2.667905, 2.694504, 2.720054, 
    2.745554, 2.771154, 2.795004, 2.816053, 2.835403, 2.852753, 2.868003, 
    2.883953, 2.900952, 2.917102, 2.930752, 2.942651, 2.953351, 2.961651, 
    2.96775, 2.9721, 2.975, 2.97715, 2.97775, 2.97765, 2.97595, 2.9731,
  2.972, 2.97025, 2.9669, 2.962451, 2.958001, 2.953201, 2.948501, 2.944102, 
    2.941002, 2.938251, 2.940152, 2.967102, 3.018003, 3.085003, 3.173054, 
    3.270905, 3.364255, 3.456206, 3.546806, 3.615657, 3.648257, 3.658458, 
    3.651659, 3.623109, 3.577259, 3.519859, 3.457559, 3.410408, 3.380258, 
    3.353608, 3.317557, 3.282507, 3.268506, 3.295456, 3.372756, 3.488857, 
    3.600757, 3.706007, 3.784257, 3.813657, 3.802007, 3.771807, 3.702956, 
    3.606256, 3.513755, 3.442255, 3.391704, 3.384354, 3.422754, 3.488104, 
    3.579355, 3.699358, 3.822762, 3.922715, 3.984617, 4.008869, 4.015269, 
    4.005569, 3.979017, 3.936815, 3.898012, 3.89246, 3.963557, 4.073607, 
    4.184007, 4.265707, 4.318607, 4.349058, 4.367008, 4.360457, 4.305956, 
    4.209104, 4.141001, 4.113149, 4.168246, 4.276694, 4.349993, 4.432742, 
    4.53069, 3.225942, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5093276, 1.016555, 1.930315, 2.03135, 
    2.01225, 1.960251, 1.850553, 1.723153, 1.614002, 1.516402, 1.413651, 
    1.3087, 1.224998, 1.207447, 1.278796, 1.456495, 1.661745, 1.875395, 
    2.099596, 2.303146, 2.466997, 2.596897, 2.639998, 2.609498, 2.535748, 
    2.444848, 2.346699, 2.262398, 2.206748, 2.173498, 2.163248, 2.173199, 
    2.191499, 2.211899, 2.23155, 2.2446, 2.247751, 2.236202, 2.209502, 
    2.173402, 2.134503, 2.097002, 2.063652, 1.719706, 0.4949246, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.748386, 
    2.551832, 3.012151, 3.031202, 3.059503, 3.095853, 3.128503, 3.145803, 
    3.152503, 3.158852, 3.168652, 3.173852, 3.169751, 3.154451, 3.130751, 
    3.1113, 3.103751, 3.102151, 3.100901, 3.098552, 3.097001, 3.095801, 
    3.095001, 3.094501, 3.094502, 3.094852, 3.095452, 3.095651, 3.096002, 
    3.096002, 3.096002, 3.096002, 3.096002, 3.096002, 3.095552, 3.095201, 
    3.093502, 3.089352, 3.081851, 3.071651, 3.059251, 3.044051, 3.026751, 
    3.006401, 2.982502, 2.955801, 2.926652, 2.879252, 2.097397, 0.4098876, 0, 
    0, 0, 0.6994066, 1.083986, 1.939851, 0.9610005, 0, 0, 0, 0, 0, 1.663399, 
    1.292199, 0, 0, 0.9388856, 1.891699, 1.9115, 1.9271, 1.942301, 1.962152, 
    1.988752, 1.300194, 0.09998477, 0.3231492, 1.619085, 1.434872, 1.150175, 
    1.18418, 1.809594, 2.456354, 2.524903, 2.575352, 2.605502, 2.638802, 
    2.673352, 2.704453, 2.729253, 2.753353, 2.779403, 2.804353, 2.826502, 
    2.845502, 2.862902, 2.878152, 2.891002, 2.904552, 2.918901, 2.932001, 
    2.943001, 2.952601, 2.96085, 2.966851, 2.9715, 2.9744, 2.9765, 2.97815, 
    2.9785, 2.97815, 2.9774, 2.97555,
  2.9755, 2.97445, 2.972, 2.96955, 2.96725, 2.964601, 2.961551, 2.959051, 
    2.9575, 2.9563, 2.960551, 2.994401, 3.052251, 3.125151, 3.216951, 
    3.316251, 3.408251, 3.4985, 3.59145, 3.6646, 3.69925, 3.71255, 3.7098, 
    3.6862, 3.642251, 3.586751, 3.526151, 3.475701, 3.44, 3.40605, 3.36375, 
    3.3254, 3.311, 3.343851, 3.429351, 3.543301, 3.65075, 3.7505, 3.8309, 
    3.86085, 3.8475, 3.8142, 3.7384, 3.635849, 3.5465, 3.480251, 3.435351, 
    3.424451, 3.460751, 3.531001, 3.647653, 3.813055, 3.982506, 4.124308, 
    4.221509, 4.26416, 4.27526, 4.26221, 4.22101, 4.142258, 4.057006, 
    4.008154, 4.046052, 4.139752, 4.248002, 4.333502, 4.393952, 4.430152, 
    4.448752, 4.436552, 4.366151, 4.24085, 4.139999, 4.082198, 4.108497, 
    4.192397, 4.248246, 4.314245, 4.390745, 3.119196, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1022578, 
    1.021828, 1.527539, 2.0308, 2.0266, 2.0247, 2.0125, 1.976501, 1.883951, 
    1.756101, 1.641501, 1.5353, 1.42155, 1.3039, 1.206749, 1.173999, 
    1.229348, 1.395498, 1.601748, 1.818848, 2.048548, 2.257498, 2.426249, 
    2.560349, 2.607549, 2.581549, 2.511749, 2.424099, 2.327499, 2.242099, 
    2.185249, 2.1515, 2.14535, 2.16155, 2.18475, 2.209, 2.23315, 2.2521, 
    2.26225, 2.259451, 2.241201, 2.209651, 2.172502, 2.135002, 2.101152, 
    1.448651, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.05377, 2.878589, 3.060301, 3.095501, 3.135602, 3.167701, 
    3.179801, 3.180501, 3.181201, 3.187201, 3.18855, 3.178, 3.15765, 3.13005, 
    3.1109, 3.10675, 3.1096, 3.11365, 3.113701, 3.112751, 3.111801, 3.111551, 
    3.112, 3.112251, 3.112851, 3.113451, 3.113801, 3.114751, 3.115001, 3.115, 
    3.115001, 3.115, 3.114651, 3.113601, 3.113201, 3.11125, 3.106501, 3.0983, 
    3.08685, 3.0735, 3.05805, 3.040651, 3.0188, 2.994, 2.96885, 2.94325, 
    2.89555, 1.4175, 0, 0, 0, 0.5062886, 1.696073, 1.97575, 1.664479, 
    0.4822133, 0, 0, 0, 0, 0, 1.667751, 1.560771, 0.9170699, 0.9225703, 
    1.024614, 1.8884, 1.91325, 1.93495, 1.170991, 1.986551, 2.023001, 
    1.346206, 1.069731, 1.421559, 2.215253, 2.272603, 2.338953, 2.404453, 
    2.460003, 2.514152, 2.567451, 2.606501, 2.636751, 2.669801, 2.703951, 
    2.735451, 2.760751, 2.785701, 2.812301, 2.836251, 2.856001, 2.872601, 
    2.887451, 2.900701, 2.911501, 2.922301, 2.9339, 2.944401, 2.95325, 
    2.96035, 2.9664, 2.97105, 2.97425, 2.9764, 2.97755, 2.97865, 2.979, 
    2.97865, 2.978, 2.9772,
  2.9775, 2.97715, 2.9756, 2.97485, 2.97375, 2.9723, 2.97105, 2.9702, 
    2.96925, 2.969, 2.9754, 3.01555, 3.0785, 3.153, 3.2422, 3.33435, 3.416, 
    3.49555, 3.5817, 3.65185, 3.684, 3.69795, 3.69905, 3.68205, 3.643, 
    3.5938, 3.5397, 3.48945, 3.4495, 3.4085, 3.3604, 3.3191, 3.3055, 3.3437, 
    3.4314, 3.53545, 3.63075, 3.71695, 3.79265, 3.82395, 3.8125, 3.77935, 
    3.70275, 3.6058, 3.53125, 3.4812, 3.45345, 3.448, 3.483, 3.55825, 3.7084, 
    3.92795, 4.14875, 4.33525, 4.46845, 4.53, 4.544, 4.5272, 4.46865, 
    4.34085, 4.1995, 4.09735, 4.09005, 4.156, 4.25375, 4.34135, 4.40845, 
    4.4504, 4.47025, 4.4523, 4.37015, 4.22535, 4.10125, 4.0223, 4.0232, 
    4.08555, 4.1295, 4.18185, 4.24305, 3.6504, 1.0685, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.516, 1.02955, 1.1277, 
    2.04285, 2.0355, 2.0278, 2.0226, 2.01955, 2.012, 1.98835, 1.91025, 
    1.7887, 1.67275, 1.55855, 1.43495, 1.31155, 1.208, 1.1636, 1.2039, 
    1.3575, 1.5585, 1.77665, 2.0116, 2.2247, 2.392, 2.52395, 2.57415, 2.5539, 
    2.49, 2.40825, 2.31485, 2.22995, 2.17225, 2.13835, 2.1358, 2.1564, 
    2.1845, 2.21295, 2.2412, 2.2648, 2.281, 2.286, 2.27695, 2.252, 2.22, 
    2.188, 2.15715, 1.4889, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.522, 3.0905, 3.1335, 3.17545, 3.20305, 
    3.20735, 3.20025, 3.19385, 3.1946, 3.19345, 3.17525, 3.149, 3.11885, 
    3.1018, 3.102, 3.1099, 3.1195, 3.12285, 3.12225, 3.12165, 3.1216, 
    3.12265, 3.12325, 3.12385, 3.12495, 3.1258, 3.127, 3.1275, 3.12795, 
    3.12785, 3.1275, 3.1268, 3.12555, 3.1247, 3.1225, 3.11715, 3.1078, 
    3.09505, 3.081, 3.06485, 3.0454, 3.0183, 2.99025, 2.9664, 2.94315, 
    2.46805, 0.7085, 0, 0, 0.309, 1.5215, 1.99095, 1.9926, 1.40315, 0, 0, 0, 
    0, 0, 0, 1.69815, 1.8481, 1.8365, 1.19805, 1.77045, 1.89245, 1.92175, 
    1.94895, 1.19265, 2.0173, 2.0635, 2.1146, 2.1717, 2.23205, 2.291, 2.3503, 
    2.41515, 2.47435, 2.52225, 2.567, 2.60745, 2.64035, 2.67, 2.7021, 2.7359, 
    2.7668, 2.79175, 2.81705, 2.84325, 2.8655, 2.8825, 2.8967, 2.909, 2.9201, 
    2.92875, 2.9374, 2.94645, 2.9548, 2.9615, 2.96645, 2.9709, 2.9741, 
    2.97625, 2.9777, 2.9785, 2.979, 2.979, 2.979, 2.97855, 2.9782,
  2.971, 2.97065, 2.969601, 2.969501, 2.96925, 2.968651, 2.9685, 2.96835, 
    2.968, 2.96835, 2.977201, 3.0234, 3.08975, 3.16345, 3.2484, 3.331801, 
    3.402501, 3.470051, 3.545152, 3.609352, 3.637502, 3.654102, 3.662202, 
    3.654301, 3.623251, 3.581351, 3.53595, 3.49045, 3.44875, 3.4018, 
    3.345401, 3.295951, 3.277251, 3.311402, 3.391652, 3.484902, 3.569503, 
    3.643953, 3.707504, 3.737804, 3.731504, 3.702803, 3.635453, 3.551602, 
    3.490752, 3.455101, 3.442951, 3.4507, 3.488, 3.56555, 3.753699, 4.029497, 
    4.301495, 4.531143, 4.694692, 4.772041, 4.787742, 4.767392, 4.693342, 
    4.509694, 4.308747, 4.151198, 4.095701, 4.131202, 4.214502, 4.300252, 
    4.370502, 4.415852, 4.436502, 4.414802, 4.322503, 4.164103, 4.025003, 
    3.931754, 3.913855, 3.960255, 3.997005, 4.041106, 4.094106, 4.160555, 
    3.140674, 0.6250024, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1.03325, 2.0609, 2.0519, 2.04255, 2.03425, 2.02595, 
    2.01955, 2.01475, 2.00975, 1.9946, 1.92775, 1.817149, 1.705249, 1.588449, 
    1.460799, 1.341949, 1.240748, 1.190298, 1.217449, 1.357999, 1.54575, 
    1.753801, 1.983251, 2.191602, 2.351002, 2.476802, 2.528802, 2.514702, 
    2.458502, 2.386201, 2.301601, 2.2211, 2.164, 2.13035, 2.1294, 2.15345, 
    2.18575, 2.21875, 2.2513, 2.279999, 2.301499, 2.313899, 2.313799, 
    2.296598, 2.273998, 2.253497, 2.231047, 1.876672, 0.5547078, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1547618, 
    2.027882, 3.168499, 3.209849, 3.229999, 3.22525, 3.21, 3.19615, 3.19275, 
    3.18925, 3.166001, 3.135401, 3.1046, 3.0907, 3.09475, 3.1072, 3.1213, 
    3.12635, 3.12575, 3.1255, 3.1256, 3.12665, 3.1275, 3.1287, 3.13, 3.13145, 
    3.13275, 3.13335, 3.13395, 3.13385, 3.13325, 3.1323, 3.131, 3.12955, 
    3.12675, 3.1208, 3.1107, 3.09625, 3.081, 3.06225, 3.038301, 3.006201, 
    2.976751, 2.953251, 2.779862, 1.018227, 0, 0, 0, 0.6138003, 2.023751, 
    1.998699, 2.032898, 1.444448, 0, 0, 0, 0, 0, 0, 0.9564582, 1.884898, 
    1.852499, 1.2037, 1.777443, 1.90255, 1.934999, 1.967449, 2.004699, 
    2.052199, 2.107748, 2.167498, 2.230598, 2.294948, 2.356498, 2.415598, 
    2.476898, 2.528598, 2.567249, 2.605549, 2.640949, 2.673699, 2.702999, 
    2.734399, 2.767849, 2.798449, 2.823749, 2.848349, 2.872149, 2.890899, 
    2.905499, 2.917299, 2.927449, 2.93615, 2.942999, 2.94985, 2.9565, 
    2.96285, 2.9675, 2.97075, 2.9739, 2.97565, 2.9765, 2.97665, 2.97645, 
    2.9757, 2.974751, 2.9738, 2.973001, 2.972201,
  2.948502, 2.947453, 2.945553, 2.942853, 2.936254, 2.930355, 2.924006, 
    2.917657, 2.913507, 2.913558, 2.924108, 2.975957, 3.048007, 3.127406, 
    3.214205, 3.295905, 3.362005, 3.421805, 3.486055, 3.543506, 3.568506, 
    3.587906, 3.603905, 3.606555, 3.584254, 3.550053, 3.513802, 3.474752, 
    3.432752, 3.381652, 3.316953, 3.258853, 3.232754, 3.258805, 3.328606, 
    3.411306, 3.487507, 3.552857, 3.605358, 3.630559, 3.628259, 3.606008, 
    3.552357, 3.482906, 3.434255, 3.408354, 3.404504, 3.420054, 3.459254, 
    3.535204, 3.758352, 4.086948, 4.406245, 4.673392, 4.86364, 4.956839, 
    4.977738, 4.956638, 4.872239, 4.635343, 4.374997, 4.165401, 4.063654, 
    4.066657, 4.133509, 4.214009, 4.284959, 4.331659, 4.353259, 4.331459, 
    4.230509, 4.066259, 3.921259, 3.819309, 3.78926, 3.82496, 3.86026, 
    3.90116, 3.95251, 4.01786, 4.08026, 1.231353, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3131523, 1.55767, 2.0652, 2.05445, 
    2.04375, 2.03475, 2.02575, 2.01755, 2.0108, 2.00575, 1.99545, 1.937249, 
    1.835149, 1.728498, 1.614498, 1.491498, 1.380247, 1.286497, 1.236496, 
    1.253497, 1.377298, 1.5465, 1.735302, 1.947003, 2.141404, 2.291005, 
    2.409456, 2.461606, 2.454855, 2.411004, 2.352803, 2.282352, 2.211151, 
    2.157501, 2.124501, 2.12455, 2.15185, 2.188, 2.22415, 2.259849, 2.292399, 
    2.318249, 2.337798, 2.346748, 2.338647, 2.328496, 2.320445, 2.307295, 
    2.283294, 1.133246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.4743723, 2.402119, 3.239798, 3.250948, 
    3.236649, 3.21375, 3.19365, 3.1867, 3.180151, 3.154751, 3.123401, 
    3.09415, 3.08295, 3.09, 3.10545, 3.1221, 3.1272, 3.12625, 3.126, 3.1265, 
    3.1273, 3.12875, 3.13055, 3.13205, 3.1341, 3.13575, 3.13635, 3.13695, 
    3.137, 3.1365, 3.134949, 3.13345, 3.1314, 3.12775, 3.12095, 3.1101, 
    3.0938, 3.0765, 3.054301, 3.025701, 2.989201, 2.957252, 2.926353, 
    1.455678, 0, 0.6206554, 0.3723933, 0, 0.60945, 2.023999, 2.032596, 
    2.090045, 1.824246, 1.11758, 0.3393983, 0, 0, 0, 0, 0.1962994, 1.946494, 
    1.892996, 1.874847, 1.886098, 1.916049, 1.949999, 1.986049, 2.028898, 
    2.084498, 2.145498, 2.207898, 2.273897, 2.338947, 2.399998, 2.458248, 
    2.514798, 2.560198, 2.595498, 2.633248, 2.669898, 2.703348, 2.732748, 
    2.764248, 2.797848, 2.828598, 2.853998, 2.876598, 2.897148, 2.912799, 
    2.924999, 2.934399, 2.942449, 2.949349, 2.954499, 2.959649, 2.964499, 
    2.96875, 2.9715, 2.97355, 2.97445, 2.97435, 2.9735, 2.971601, 2.968551, 
    2.965451, 2.961751, 2.958052, 2.954552, 2.951902,
  2.909505, 2.906706, 2.901156, 2.889208, 2.870259, 2.85236, 2.833512, 
    2.814963, 2.801265, 2.797365, 2.808815, 2.865415, 2.947263, 3.037862, 
    3.132961, 3.218711, 3.285761, 3.343711, 3.400661, 3.452062, 3.476012, 
    3.498212, 3.521511, 3.53301, 3.519009, 3.494508, 3.468707, 3.437806, 
    3.398505, 3.345905, 3.275406, 3.210206, 3.178007, 3.196208, 3.252709, 
    3.322611, 3.388012, 3.442914, 3.484615, 3.503866, 3.504516, 3.489065, 
    3.448113, 3.395012, 3.35901, 3.340159, 3.339609, 3.358208, 3.395759, 
    3.467609, 3.705459, 4.072806, 4.429752, 4.7251, 4.939097, 5.047896, 
    5.076495, 5.056795, 4.966995, 4.699147, 4.390001, 4.135456, 3.989761, 
    3.957215, 4.003517, 4.075718, 4.147469, 4.196618, 4.220267, 4.200167, 
    4.096017, 3.937616, 3.797765, 3.697814, 3.662764, 3.690365, 3.729764, 
    3.773714, 3.829313, 3.898662, 3.97051, 2.607731, 1.818734, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6275997, 2.084499, 
    2.070349, 2.058049, 2.0466, 2.037, 2.0274, 2.0176, 2.00935, 2.00275, 
    1.9944, 1.94225, 1.846949, 1.746998, 1.638297, 1.523446, 1.421295, 
    1.337244, 1.291693, 1.301794, 1.403546, 1.550999, 1.718751, 1.910654, 
    2.088105, 2.225257, 2.334059, 2.385459, 2.387058, 2.360006, 2.318604, 
    2.262152, 2.200951, 2.15275, 2.121, 2.12125, 2.1514, 2.191499, 2.230199, 
    2.267349, 2.301199, 2.329499, 2.354648, 2.373197, 2.375646, 2.376745, 
    2.375745, 2.369744, 2.359192, 1.175746, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8106853, 1.628372, 
    3.112384, 3.252848, 3.224498, 3.201398, 3.190699, 3.180249, 3.15175, 
    3.1208, 3.094099, 3.085049, 3.093749, 3.108399, 3.124099, 3.1287, 3.1275, 
    3.12665, 3.12745, 3.12845, 3.13025, 3.1324, 3.13455, 3.1371, 3.139, 
    3.139849, 3.140899, 3.140999, 3.140499, 3.138599, 3.13645, 3.133749, 
    3.1295, 3.12175, 3.10915, 3.09105, 3.071001, 3.045351, 3.012301, 
    2.973052, 2.935252, 2.889404, 0.2878005, 0, 0.620892, 0.3725352, 0, 
    0.6104997, 2.040998, 2.078845, 2.148794, 2.212093, 2.271492, 1.535154, 
    1.104847, 0, 0, 0, 1.066802, 2.013593, 1.943994, 1.910446, 1.908398, 
    1.930598, 1.964248, 2.002798, 2.050348, 2.110097, 2.172747, 2.234697, 
    2.301647, 2.365498, 2.424498, 2.481398, 2.534948, 2.579448, 2.617498, 
    2.655898, 2.693848, 2.728498, 2.758497, 2.789198, 2.820848, 2.849648, 
    2.872999, 2.892499, 2.909699, 2.9227, 2.9325, 2.939851, 2.945951, 
    2.951051, 2.954751, 2.958101, 2.961501, 2.964302, 2.965502, 2.966352, 
    2.965002, 2.962902, 2.959753, 2.955203, 2.949453, 2.942703, 2.935754, 
    2.928454, 2.921555, 2.915805,
  2.85301, 2.84776, 2.833812, 2.808714, 2.778265, 2.748868, 2.718019, 
    2.687921, 2.664272, 2.652524, 2.664124, 2.727473, 2.819771, 2.92012, 
    3.022269, 3.111369, 3.178768, 3.235668, 3.288919, 3.33432, 3.35652, 
    3.380471, 3.40862, 3.426969, 3.421767, 3.408166, 3.394614, 3.374262, 
    3.341261, 3.29076, 3.21786, 3.14866, 3.111261, 3.120763, 3.165065, 
    3.220667, 3.272269, 3.31512, 3.347022, 3.362822, 3.366521, 3.35762, 
    3.328319, 3.289367, 3.263516, 3.250965, 3.253465, 3.272265, 3.306516, 
    3.372967, 3.607917, 3.995765, 4.376263, 4.69166, 4.924558, 5.044706, 
    5.079006, 5.061155, 4.969805, 4.691457, 4.35076, 4.062914, 3.880769, 
    3.818173, 3.844776, 3.906727, 3.978177, 4.030877, 4.058026, 4.041426, 
    3.942974, 3.795522, 3.66602, 3.575718, 3.542068, 3.569617, 3.618015, 
    3.670963, 3.736911, 3.817859, 3.903257, 3.987255, 3.629153, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1063675, 1.374722, 
    2.092249, 2.076299, 2.063099, 2.051449, 2.040999, 2.0302, 2.019549, 
    2.01005, 2.002, 1.99325, 1.94425, 1.853749, 1.761248, 1.661047, 1.556245, 
    1.467592, 1.39699, 1.359989, 1.364789, 1.446942, 1.573495, 1.719998, 
    1.891651, 2.049754, 2.170507, 2.26536, 2.312211, 2.322609, 2.312257, 
    2.287205, 2.244802, 2.192601, 2.14975, 2.1188, 2.1199, 2.153299, 
    2.196499, 2.236549, 2.273899, 2.308199, 2.336749, 2.364599, 2.390248, 
    2.400798, 2.405998, 1.562006, 1.319479, 2.041257, 0.5974322, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.646901, 3.280595, 3.251244, 3.229594, 3.217493, 3.202694, 3.170495, 
    3.138645, 3.113095, 3.104745, 3.111246, 3.120197, 3.129299, 3.13055, 
    3.129, 3.12815, 3.12855, 3.12995, 3.132, 3.1344, 3.137, 3.13975, 
    3.141999, 3.143549, 3.144949, 3.145349, 3.144499, 3.142599, 3.14, 3.1371, 
    3.132, 3.12305, 3.10865, 3.08845, 3.065501, 3.036601, 2.999202, 2.959102, 
    2.195723, 1.436188, 0.2754532, 1.302153, 0.6243094, 0, 0, 0.6170983, 
    2.073743, 2.130741, 2.20839, 2.278689, 2.347738, 2.435687, 2.378349, 
    0.8883789, 0, 0, 1.072713, 2.065843, 1.986244, 1.941296, 1.928947, 
    1.943348, 1.975499, 2.015349, 2.065799, 2.127298, 2.189249, 2.250149, 
    2.316099, 2.378549, 2.435749, 2.491199, 2.545249, 2.593698, 2.633998, 
    2.671498, 2.708399, 2.742699, 2.771749, 2.79975, 2.8269, 2.851751, 
    2.871502, 2.887402, 2.901303, 2.911953, 2.919254, 2.925154, 2.929504, 
    2.933104, 2.935504, 2.937555, 2.939505, 2.941155, 2.941505, 2.940805, 
    2.938406, 2.934306, 2.928756, 2.921806, 2.913357, 2.902957, 2.892508, 
    2.881709, 2.871509, 2.86221,
  2.778016, 2.768567, 2.743719, 2.705872, 2.664024, 2.623926, 2.581528, 
    2.54018, 2.507782, 2.488333, 2.499983, 2.569932, 2.670781, 2.779679, 
    2.887178, 2.979027, 3.046278, 3.100928, 3.149779, 3.18913, 3.207781, 
    3.230282, 3.259482, 3.283931, 3.287779, 3.284977, 3.284125, 3.276023, 
    3.251271, 3.20622, 3.134269, 3.063119, 3.019771, 3.019473, 3.051475, 
    3.093678, 3.134279, 3.168231, 3.194881, 3.210931, 3.21853, 3.217378, 
    3.200325, 3.173323, 3.153772, 3.144372, 3.147722, 3.163872, 3.194273, 
    3.255824, 3.486575, 3.879775, 4.273273, 4.603421, 4.850668, 4.979567, 
    5.018016, 5.002216, 4.910216, 4.627116, 4.271268, 3.960921, 3.751076, 
    3.66438, 3.673783, 3.726235, 3.796535, 3.853434, 3.885033, 3.873932, 
    3.78578, 3.653276, 3.539023, 3.461521, 3.436968, 3.473866, 3.537012, 
    3.604709, 3.687705, 3.7896, 3.892496, 3.984895, 3.636644, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.083967, 2.127647, 2.101248, 
    2.083249, 2.069549, 2.057299, 2.046249, 2.034849, 2.023499, 2.012749, 
    2.0035, 1.99215, 1.94385, 1.857399, 1.772248, 1.682196, 1.591093, 
    1.520439, 1.467485, 1.443233, 1.449831, 1.519583, 1.628236, 1.755439, 
    1.906543, 2.042997, 2.143501, 2.220205, 2.257257, 2.273307, 2.275505, 
    2.264753, 2.235401, 2.19065, 1.616703, 1.059204, 1.060355, 1.077961, 
    1.656457, 1.45405, 1.138885, 1.506008, 2.342499, 2.370799, 2.398699, 
    2.41035, 2.41375, 0.7242, 0.1207461, 0.8452225, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3318995, 3.311645, 3.292242, 3.283338, 3.274736, 3.253838, 3.216989, 
    3.18294, 3.157439, 3.14704, 3.146742, 3.144694, 3.139648, 3.1324, 
    3.13025, 3.1295, 3.12965, 3.1316, 3.134, 3.1364, 3.13905, 3.142399, 
    3.145249, 3.147399, 3.149449, 3.150199, 3.148999, 3.147099, 3.144049, 
    3.141099, 3.135499, 3.125, 3.10865, 3.0865, 3.061251, 3.029351, 2.988002, 
    2.946502, 1.462751, 0.9743779, 1.481585, 2.582409, 1.238004, 0, 
    0.1037104, 1.352521, 2.114243, 2.184791, 2.268889, 2.345038, 2.420238, 
    2.509089, 2.57264, 2.175148, 0.6345077, 0, 0.1055903, 1.35533, 2.023993, 
    1.970194, 1.949396, 1.956297, 1.984998, 2.022799, 2.072349, 2.1329, 
    2.192251, 2.251601, 2.316251, 2.378901, 2.435501, 2.490351, 2.545751, 
    2.596001, 2.636252, 2.671952, 2.706852, 2.738603, 2.764753, 2.789504, 
    2.812855, 2.833206, 2.849006, 2.862007, 2.872457, 2.880858, 2.886008, 
    2.890109, 2.893009, 2.895309, 2.896759, 2.897859, 2.898959, 2.89951, 
    2.89926, 2.89761, 2.89386, 2.887711, 2.880261, 2.871411, 2.859462, 
    2.846062, 2.831763, 2.817464, 2.803615, 2.791615,
  2.684524, 2.669125, 2.633127, 2.58318, 2.530283, 2.479485, 2.426088, 
    2.37444, 2.333542, 2.308743, 2.321592, 2.395791, 2.50279, 2.618889, 
    2.730538, 2.823388, 2.889039, 2.93964, 2.982291, 3.015143, 3.028795, 
    3.047346, 3.074446, 3.103245, 3.115294, 3.122792, 3.134539, 3.138086, 
    3.122784, 3.084382, 3.015631, 2.944231, 2.895532, 2.885684, 2.905537, 
    2.936589, 2.97004, 2.999291, 3.025091, 3.04399, 3.056788, 3.064337, 
    3.060283, 3.045431, 3.032279, 3.025079, 3.028579, 3.042629, 3.069779, 
    3.12773, 3.353432, 3.741133, 4.137035, 4.475184, 4.731032, 4.865832, 
    4.906281, 4.891432, 4.799731, 4.516781, 4.15903, 3.837681, 3.608235, 
    3.503138, 3.49904, 3.544641, 3.615441, 3.67814, 3.715038, 3.710287, 
    3.634384, 3.521928, 3.425524, 3.36482, 3.356615, 3.406013, 3.485009, 
    3.572754, 3.678898, 3.806592, 3.928489, 4.031835, 3.686385, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1234933, 1.223988, 1.17796, 1.13403, 
    2.077394, 2.141597, 2.111497, 2.091548, 2.077048, 2.064148, 2.052748, 
    2.041348, 2.029548, 2.018448, 2.008498, 1.993299, 1.945049, 1.863998, 
    1.787745, 1.709043, 1.635288, 1.585833, 1.553978, 1.544874, 1.562571, 
    1.627571, 1.722474, 1.832778, 1.964532, 2.080136, 2.157242, 2.212997, 
    2.23825, 2.252201, 2.26075, 2.260199, 2.239997, 1.871797, 0.5424986, 0, 
    0, 0, 0.5567552, 0.3340531, 0, 0.3502606, 1.173288, 1.187444, 2.284754, 
    2.41295, 1.810777, 0.3622661, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1666264, 
    2.164182, 3.337989, 3.354882, 3.355829, 3.326532, 3.282733, 3.244535, 
    3.217735, 3.203387, 3.193489, 3.176243, 3.151947, 3.131751, 3.129001, 
    3.1287, 3.13015, 3.13325, 3.13625, 3.138899, 3.141599, 3.145399, 
    3.148749, 3.151749, 3.154399, 3.155349, 2.365611, 1.575522, 2.991371, 
    3.145599, 3.139749, 3.127949, 3.1097, 3.08605, 3.05875, 3.024451, 
    2.980152, 2.937052, 2.166176, 2.365609, 2.682808, 2.179874, 0.6137813, 0, 
    1.051913, 2.090397, 2.148742, 2.23054, 2.321839, 2.402688, 2.477239, 
    2.557741, 2.613743, 2.586144, 1.895713, 0.3719793, 0.1095497, 1.394446, 
    2.058993, 1.997295, 1.968346, 1.670435, 0.9954563, 1.723689, 2.070252, 
    2.127003, 2.182503, 2.239054, 2.301905, 2.364256, 2.420256, 2.473806, 
    2.528656, 2.577857, 2.616757, 2.650757, 2.683808, 2.713008, 2.736509, 
    2.75791, 2.777311, 2.793162, 2.805512, 2.815763, 2.823413, 2.829064, 
    2.832765, 2.835065, 2.836915, 2.837815, 2.838765, 2.839015, 2.839466, 
    2.839516, 2.839016, 2.836766, 2.831416, 2.823766, 2.814267, 2.803018, 
    2.788368, 2.771319, 2.75377, 2.735871, 2.718271, 2.704022,
  2.572033, 2.551034, 2.504137, 2.44314, 2.380292, 2.319545, 2.255747, 
    2.195199, 2.146551, 2.118202, 2.132602, 2.209251, 2.319301, 2.43985, 
    2.55435, 2.6468, 2.709051, 2.754502, 2.789755, 2.814657, 2.822808, 
    2.83656, 2.860761, 2.89161, 2.910059, 2.926757, 2.949504, 2.963501, 
    2.957049, 2.925747, 2.861946, 2.791945, 2.740546, 2.723797, 2.734599, 
    2.757751, 2.787051, 2.815301, 2.842301, 2.865349, 2.884048, 2.900295, 
    2.908742, 2.905839, 2.900037, 2.895986, 2.899636, 2.913336, 2.938786, 
    2.994336, 3.214138, 3.590841, 3.975796, 4.310349, 4.5662, 4.702051, 
    4.742051, 4.7285, 4.6389, 4.360448, 4.010294, 3.693042, 3.455742, 
    3.340093, 3.326795, 3.367746, 3.440246, 3.508994, 3.551543, 3.553141, 
    3.492887, 3.403381, 3.325275, 3.281472, 3.293616, 3.357262, 3.449758, 
    3.560801, 3.695543, 3.253106, 2.994764, 4.100681, 2.068885, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.309631, 2.477085, 2.37649, 2.284642, 
    2.210644, 2.157395, 2.123497, 2.101497, 2.086097, 2.073147, 2.061747, 
    2.050347, 2.038597, 2.027797, 2.015998, 1.99545, 1.948349, 1.874747, 
    1.808744, 1.74309, 1.688585, 1.663328, 1.654722, 1.664316, 1.698361, 
    1.76426, 1.850462, 1.948214, 2.063618, 2.156975, 2.209731, 2.243937, 
    2.25679, 2.263093, 2.272493, 2.276293, 2.146853, 0.7760156, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1.084481, 1.207647, 0.6038234, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0.5015686, 2.54044, 3.429281, 3.441828, 3.40358, 3.352232, 
    3.309283, 3.279984, 3.259786, 3.238989, 3.204893, 3.160699, 3.126952, 
    3.124251, 3.126101, 3.1301, 3.134899, 3.138499, 3.141749, 3.144599, 
    3.148399, 3.152249, 3.156449, 3.159848, 3.161148, 1.580749, 0, 2.839199, 
    3.150948, 3.144748, 3.132249, 3.112649, 3.08725, 3.05825, 3.02225, 
    2.975801, 2.931751, 2.869502, 2.776103, 2.660703, 1.796202, 0.576441, 
    1.1186, 2.013988, 2.108194, 2.180992, 2.27094, 2.367789, 2.451388, 
    2.52099, 2.589194, 2.632848, 2.600849, 2.525748, 1.586748, 1.26299, 
    2.180893, 2.087743, 2.018745, 1.981397, 1.378649, 0, 1.416452, 2.057605, 
    2.108807, 2.158509, 2.21031, 2.269911, 2.329312, 2.383513, 2.435613, 
    2.489563, 2.536914, 2.574514, 2.607215, 2.638315, 2.665416, 2.686516, 
    2.704467, 2.719818, 2.731919, 2.74102, 2.748021, 2.753821, 2.757122, 
    2.759273, 2.760373, 2.761023, 2.761673, 2.762023, 2.762023, 2.762023, 
    2.761873, 2.761023, 2.758074, 2.751424, 2.742474, 2.731274, 2.717275, 
    2.700226, 2.679427, 2.658278, 2.636779, 2.61578, 2.598281,
  2.441043, 2.415144, 2.358697, 2.288549, 2.217302, 2.148154, 2.075307, 
    2.006409, 1.951561, 1.920861, 1.936061, 2.013111, 2.123312, 2.244712, 
    2.360162, 2.450913, 2.509064, 2.548666, 2.575669, 2.591672, 2.594323, 
    2.603974, 2.625025, 2.656225, 2.678575, 2.701623, 2.73347, 2.756768, 
    2.758565, 2.734113, 2.676761, 2.61026, 2.55881, 2.53851, 2.543661, 
    2.561713, 2.588313, 2.617363, 2.646512, 2.674061, 2.698559, 2.723407, 
    2.743253, 2.7519, 2.754797, 2.755595, 2.761644, 2.777292, 2.803792, 
    2.858292, 3.070645, 3.4317, 3.796308, 4.113665, 4.360119, 4.49262, 
    4.531571, 4.52047, 4.436318, 4.169063, 3.834806, 3.5345, 3.303796, 
    3.185595, 3.166297, 3.203348, 3.275549, 3.348198, 3.396296, 3.405893, 
    3.363188, 3.296031, 3.235276, 3.205672, 3.242163, 3.327605, 3.439247, 
    2.305319, 1.855437, 1.342022, 2.058985, 2.694035, 0.2083777, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7747746, 1.472247, 2.545694, 2.528585, 
    2.414239, 2.314941, 2.233293, 2.174345, 2.136996, 2.113296, 2.097596, 
    2.084796, 2.073746, 2.063046, 2.051595, 2.040796, 2.025746, 1.998099, 
    1.952648, 1.886996, 1.831493, 1.779838, 1.745432, 1.745475, 1.761467, 
    1.794609, 1.849152, 1.9198, 2.00295, 2.094151, 2.197754, 2.26876, 
    2.299467, 2.312673, 2.310578, 2.30823, 2.314232, 2.316733, 1.141356, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.732741, 3.496281, 3.512132, 3.465734, 3.409235, 3.362886, 3.331637, 
    3.304439, 3.271243, 3.221597, 3.160452, 3.120102, 3.118752, 3.123351, 
    3.13005, 3.1367, 3.140999, 3.144249, 3.147499, 3.151049, 3.155749, 
    3.161149, 1.898976, 3.167798, 1.584249, 1.10812, 3.003751, 3.157298, 
    3.150748, 3.137548, 3.117098, 3.090449, 3.060249, 3.023049, 2.97445, 
    2.92975, 2.866749, 2.772249, 2.528627, 0.8968997, 1.157747, 2.247944, 
    2.140994, 2.126645, 2.210991, 2.310038, 2.411587, 2.495287, 2.558738, 
    2.613443, 2.640498, 2.604549, 2.530999, 2.435047, 2.317744, 2.206743, 
    2.110744, 2.034696, 1.890109, 0.9851925, 0.4909488, 1.401756, 2.030561, 
    2.073364, 2.116016, 2.162868, 2.217519, 2.27307, 2.324522, 2.374922, 
    2.427123, 2.472973, 2.509023, 2.540524, 2.570274, 2.595325, 2.613776, 
    2.629077, 2.640828, 2.649179, 2.65528, 2.65963, 2.663381, 2.665181, 
    2.665782, 2.666382, 2.666582, 2.667032, 2.667032, 2.667032, 2.667032, 
    2.666732, 2.665282, 2.661732, 2.654332, 2.643533, 2.630534, 2.614384, 
    2.594285, 2.570386, 2.545287, 2.520188, 2.496239, 2.47509,
  2.292055, 2.262306, 2.198758, 2.12176, 2.043312, 1.967314, 1.886817, 
    1.810869, 1.752069, 1.71917, 1.733921, 1.809172, 1.917323, 2.036324, 
    2.149575, 2.237027, 2.291328, 2.32568, 2.344632, 2.352035, 2.349087, 
    2.354539, 2.371241, 2.401041, 2.42609, 2.453589, 2.492437, 2.523385, 
    2.533332, 2.516329, 2.466726, 2.406973, 2.358322, 2.336272, 2.337673, 
    2.352124, 2.376575, 2.405925, 2.437574, 2.468773, 2.498571, 2.530819, 
    2.561366, 2.581961, 2.594558, 2.603305, 2.615102, 2.6355, 2.666048, 
    2.721097, 2.922402, 3.260112, 3.596823, 3.888033, 4.116341, 4.241993, 
    4.281093, 4.273992, 4.200137, 3.954827, 3.649065, 3.377253, 3.165594, 
    3.05394, 3.03254, 3.06679, 3.136292, 3.209442, 3.261291, 3.27744, 
    3.248587, 3.200581, 3.155776, 3.139322, 3.204661, 3.322848, 2.574351, 
    0.5258132, 0.2008111, 2.030146, 2.083, 2.155524, 2.208822, 1.555724, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5105469, 2.4174, 2.977229, 2.743333, 
    2.571337, 2.448989, 2.343441, 2.255442, 2.191944, 2.151745, 2.127295, 
    2.112045, 2.099444, 2.089244, 2.079394, 2.068543, 2.057793, 2.039495, 
    2.004047, 1.95585, 1.897248, 1.851494, 1.81309, 1.798234, 1.822475, 
    1.862717, 1.920459, 1.998001, 2.080895, 2.165194, 2.254044, 2.349147, 
    2.403102, 2.414958, 2.408964, 2.391519, 2.380572, 2.380974, 1.535659, 
    0.117231, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.8741037, 3.018552, 3.560587, 3.508288, 3.449738, 3.401689, 
    3.368789, 3.334741, 3.289745, 3.226899, 3.155651, 3.114701, 3.1155, 
    3.12225, 3.131449, 3.139498, 3.144499, 3.147399, 3.150449, 3.153699, 
    3.159249, 2.057115, 0.3170189, 2.063266, 2.381949, 2.697268, 3.169847, 
    3.164797, 3.157997, 3.143847, 3.122648, 3.095798, 3.064998, 3.026848, 
    2.976548, 2.931399, 2.869999, 2.777098, 2.404998, 0, 1.167496, 2.269892, 
    2.164741, 2.144893, 1.666637, 2.002276, 2.450988, 2.534188, 2.59149, 
    2.632695, 2.647648, 2.608099, 2.534999, 2.445096, 2.334195, 2.225895, 
    2.123998, 2.040301, 1.788204, 0.5847033, 1.456922, 1.662862, 1.982171, 
    2.016223, 2.053025, 2.095427, 2.144129, 2.194531, 2.242532, 2.290533, 
    2.340684, 2.385185, 2.420035, 2.450335, 2.478686, 2.501387, 2.517787, 
    2.530688, 2.539339, 2.54459, 2.548541, 2.551091, 2.552941, 2.553542, 
    2.553542, 2.553892, 2.554042, 2.554042, 2.554042, 2.554042, 2.554042, 
    2.553892, 2.552292, 2.548242, 2.540242, 2.527593, 2.512543, 2.494344, 
    2.470846, 2.443647, 2.415298, 2.386599, 2.3592, 2.333902,
  2.127066, 2.094867, 2.026318, 1.94442, 1.860821, 1.779673, 1.693375, 
    1.612476, 1.550828, 1.516478, 1.530128, 1.60098, 1.704333, 1.819235, 
    1.928137, 2.011788, 2.063339, 2.094589, 2.107091, 2.107344, 2.099845, 
    2.100397, 2.112249, 2.1387, 2.16535, 2.1955, 2.237599, 2.273748, 
    2.289846, 2.280743, 2.23979, 2.188786, 2.145584, 2.123034, 2.121135, 
    2.132036, 2.154588, 2.183438, 2.216587, 2.250337, 2.284585, 2.322683, 
    2.363429, 2.395525, 2.417821, 2.435918, 2.456114, 2.484311, 2.521558, 
    2.578757, 2.764164, 3.06713, 3.368594, 3.629457, 3.833417, 3.95032, 
    3.991868, 3.991416, 3.933159, 3.724442, 3.463571, 3.234201, 3.055186, 
    2.960278, 2.942025, 2.974176, 3.038879, 3.108481, 3.159782, 3.178182, 
    3.155031, 3.119328, 3.088273, 3.079972, 3.182055, 2.824037, 0.8526555, 0, 
    2.005965, 4.136343, 3.22537, 3.769106, 4.475507, 3.828399, 1.137124, 0, 
    0, 0, 0, 0, 0, 0.6509488, 2.135106, 0.6301149, 0, 1.028245, 3.307483, 
    3.030683, 2.788085, 2.608486, 2.481238, 2.371139, 2.278041, 2.210693, 
    2.168243, 2.143294, 2.128993, 2.117243, 2.107992, 2.098742, 2.088942, 
    2.078291, 2.057243, 2.014495, 1.959448, 1.906546, 1.868993, 1.842638, 
    1.845082, 1.891974, 1.954715, 2.034607, 2.136398, 2.238091, 2.326189, 
    2.414639, 2.502741, 2.543645, 2.540201, 2.518556, 2.48871, 2.468763, 
    1.836698, 0.3632793, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0.431218, 0.7186967, 0, 0, 0, 0, 2.522439, 3.598835, 
    3.542137, 3.483237, 3.435537, 3.402236, 3.360989, 3.305993, 3.233496, 
    3.156898, 3.114999, 3.117498, 3.125947, 3.136397, 3.144847, 3.149248, 
    3.151548, 3.153998, 3.157048, 3.162999, 0.9499494, 0, 0.4772169, 2.38686, 
    3.181597, 3.177947, 3.173147, 3.165997, 3.151847, 3.129747, 3.102947, 
    3.072247, 3.032797, 2.980948, 2.938796, 2.879744, 2.788144, 2.415744, 0, 
    1.181993, 2.298537, 2.081625, 1.078429, 0.5539259, 0.8378441, 1.363001, 
    2.56374, 2.614743, 2.642648, 2.646653, 2.603155, 2.531255, 2.448501, 
    2.339301, 2.230652, 2.123503, 2.030357, 1.76976, 0.5722559, 1.903522, 
    1.899527, 1.910632, 1.938184, 1.970535, 2.007787, 2.04964, 2.093193, 
    2.136296, 2.180797, 2.228648, 2.271049, 2.30505, 2.33415, 2.3616, 
    2.38275, 2.398051, 2.408802, 2.415802, 2.419152, 2.421303, 2.422753, 
    2.423503, 2.423553, 2.423553, 2.423553, 2.423553, 2.423553, 2.423553, 
    2.423553, 2.423553, 2.423553, 2.422054, 2.417404, 2.408254, 2.394155, 
    2.377306, 2.356956, 2.330357, 2.299908, 2.26806, 2.235861, 2.204663, 
    2.175014,
  1.948578, 1.914629, 1.84328, 1.75848, 1.672581, 1.588432, 1.498883, 
    1.414584, 1.350335, 1.315485, 1.327735, 1.392338, 1.489341, 1.598594, 
    1.702296, 1.782997, 1.834097, 1.864547, 1.873448, 1.868899, 1.859099, 
    1.855951, 1.863203, 1.885255, 1.911106, 1.940806, 1.982307, 2.020507, 
    2.040356, 2.037454, 2.00535, 1.963896, 1.927343, 1.904793, 1.899594, 
    1.906796, 1.926847, 1.954248, 1.986699, 2.021449, 2.058598, 2.100996, 
    2.150043, 2.192589, 2.224585, 2.251681, 2.281627, 2.319723, 2.366068, 
    2.426417, 2.589428, 2.850246, 3.113112, 3.342376, 3.523934, 3.634236, 
    3.681382, 3.690028, 3.652818, 3.494494, 3.290319, 3.113446, 2.977576, 
    2.907714, 2.899258, 2.930008, 2.98936, 3.054212, 3.104012, 3.123712, 
    3.102561, 3.086797, 3.078732, 3.091666, 3.067291, 1.161584, 0, 1.4142, 
    3.917192, 4.316609, 4.457176, 4.543843, 4.578209, 4.577621, 3.432269, 
    2.277817, 0.4528656, 1.57821, 0, 1.559676, 2.212322, 2.832652, 4.257514, 
    2.674401, 1.939603, 2.327003, 3.342239, 3.068387, 2.825085, 2.643435, 
    2.511987, 2.398039, 2.300591, 2.229742, 2.185743, 2.159943, 2.146942, 
    2.136542, 2.128241, 2.119941, 2.11134, 2.10094, 2.07824, 2.029643, 
    1.967546, 1.914049, 1.880249, 1.864295, 1.881839, 1.943035, 2.022231, 
    2.121723, 2.247413, 2.370903, 2.470445, 2.561593, 2.643595, 2.676448, 
    2.667197, 2.637648, 2.598801, 2.179336, 0.6275318, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1182996, 1.649083, 2.069964, 
    1.475697, 1.599992, 1.691264, 1.76725, 3.088581, 3.635485, 3.574337, 
    3.514987, 3.468586, 3.435287, 3.387889, 3.324992, 3.247043, 3.166095, 
    3.122645, 3.125745, 3.134795, 3.145345, 3.153046, 3.155997, 3.156847, 
    3.158048, 3.160399, 2.374171, 0.4757532, 0, 0, 1.595498, 3.189946, 
    3.185997, 3.181147, 3.173996, 3.160197, 3.138746, 3.112595, 3.081745, 
    3.041795, 2.990793, 2.954092, 2.898491, 2.805093, 2.428596, 0, 1.194747, 
    2.320895, 1.989146, 0, 0, 0, 0.1282087, 1.681509, 2.625998, 2.640604, 
    2.63016, 2.579515, 2.510013, 2.43526, 2.326809, 2.21666, 2.10726, 
    2.004514, 1.069433, 0.9287909, 1.385665, 1.822885, 1.82204, 1.842644, 
    1.870546, 1.902298, 1.935752, 1.971406, 2.007809, 2.047361, 2.091713, 
    2.131914, 2.165064, 2.193314, 2.220115, 2.240615, 2.255315, 2.265115, 
    2.271316, 2.273866, 2.274816, 2.275766, 2.276066, 2.276066, 2.276066, 
    2.276066, 2.276066, 2.276066, 2.276066, 2.276066, 2.276066, 2.276066, 
    2.274566, 2.269216, 2.258767, 2.243217, 2.224568, 2.20207, 2.172821, 
    2.139022, 2.103323, 2.067625, 2.033176, 2.000278,
  1.769081, 1.73443, 1.662231, 1.576331, 1.489581, 1.404231, 1.312832, 
    1.226133, 1.160334, 1.124285, 1.133836, 1.19089, 1.280344, 1.382398, 
    1.4805, 1.559002, 1.610602, 1.641201, 1.649801, 1.64435, 1.635099, 
    1.6297, 1.632202, 1.649204, 1.671856, 1.699757, 1.738459, 1.77566, 
    1.79711, 1.798958, 1.775904, 1.744649, 1.715595, 1.694943, 1.685645, 
    1.688398, 1.70435, 1.727653, 1.756406, 1.789957, 1.827857, 1.872756, 
    1.926455, 1.978501, 2.019847, 2.056642, 2.097187, 2.145982, 2.201578, 
    2.267674, 2.403337, 2.621058, 2.845625, 3.045688, 3.211644, 3.319744, 
    3.375389, 3.396032, 3.380873, 3.282194, 3.140563, 3.017838, 2.92502, 
    2.881259, 2.884754, 2.916603, 2.974353, 3.038202, 3.087502, 3.106704, 
    3.10169, 3.125318, 3.158945, 3.218469, 1.647318, 0, 0, 1.416713, 
    4.138028, 4.5308, 4.627423, 4.669796, 4.662966, 4.631381, 4.596245, 
    4.549909, 2.690844, 3.793811, 2.202456, 3.75771, 4.396379, 4.336526, 
    4.219521, 4.074514, 3.875207, 3.629343, 3.372484, 3.105829, 2.864729, 
    2.680082, 2.543734, 2.425237, 2.323089, 2.248291, 2.202742, 2.176442, 
    2.164492, 2.155691, 2.148491, 2.14164, 2.13389, 2.124589, 2.101489, 
    2.04899, 1.980493, 1.920196, 1.884498, 1.872598, 1.896649, 1.963497, 
    2.052493, 2.167387, 2.314977, 2.461368, 2.578709, 2.677505, 2.758703, 
    2.79215, 2.786448, 2.756597, 2.576375, 0.9217041, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2292071, 2.355225, 2.620326, 
    2.908143, 3.202051, 3.400736, 3.562726, 3.671523, 3.680674, 3.613078, 
    3.550981, 3.503232, 3.467734, 3.416386, 3.348238, 3.267139, 3.182391, 
    3.138291, 3.141241, 3.149441, 3.159192, 3.164594, 3.165495, 3.163946, 
    3.162648, 3.163898, 1.582999, 0, 0, 0, 1.599248, 3.197797, 3.193946, 
    3.188646, 3.181746, 3.168546, 3.149145, 3.124394, 3.094243, 3.056042, 
    3.00844, 2.976488, 2.920989, 2.822442, 2.441792, 0, 1.203995, 1.527093, 
    0.9977745, 0, 0, 0, 0, 0.7842011, 2.621256, 2.623262, 2.599168, 2.542019, 
    2.475767, 2.409163, 2.301264, 2.188266, 2.076018, 1.295892, 0.9279923, 
    0.6473999, 0.8755186, 1.73774, 1.726145, 1.738449, 1.760802, 1.785256, 
    1.80931, 1.835965, 1.865068, 1.898721, 1.938374, 1.975825, 2.007326, 
    2.034277, 2.059678, 2.079479, 2.093579, 2.102779, 2.108279, 2.10988, 
    2.11058, 2.11093, 2.11153, 2.11158, 2.11158, 2.11158, 2.11158, 2.11158, 
    2.11158, 2.11158, 2.11158, 2.11143, 2.109581, 2.103881, 2.092781, 
    2.076581, 2.057081, 2.033381, 2.002781, 1.966931, 1.929331, 1.892081, 
    1.856231, 1.82233,
  1.601581, 1.56798, 1.49633, 1.412677, 1.331571, 1.251515, 1.165209, 
    1.082804, 1.0203, 0.9836997, 0.990051, 1.039804, 1.117062, 1.205172, 
    1.291181, 1.360989, 1.407095, 1.434997, 1.444747, 1.440796, 1.433096, 
    1.427146, 1.425647, 1.437799, 1.457101, 1.482352, 1.517005, 1.550557, 
    1.571108, 1.576257, 1.561503, 1.540249, 1.518096, 1.500494, 1.489094, 
    1.487396, 1.49685, 1.513304, 1.537506, 1.568657, 1.605858, 1.651108, 
    1.706657, 1.763807, 1.813103, 1.859948, 1.912542, 1.971437, 2.034584, 
    2.107881, 2.217842, 2.394312, 2.583128, 2.758989, 2.914793, 3.024691, 
    3.090137, 3.124779, 3.131668, 3.093588, 3.014308, 2.943083, 2.887516, 
    2.867604, 2.891738, 2.939324, 3.002718, 3.067818, 3.117467, 3.134918, 
    3.150213, 3.224185, 2.448027, 1.654415, 0.1667178, 0, 0, 0, 4.159743, 
    4.730607, 4.775684, 4.769659, 4.724626, 4.665736, 4.608993, 4.537902, 
    4.461567, 4.406074, 4.385773, 4.372822, 4.343521, 4.285523, 4.175772, 
    4.03942, 3.860258, 3.642095, 3.403486, 3.145982, 2.905432, 2.716084, 
    2.574236, 2.450938, 2.343741, 2.265692, 2.218493, 2.191943, 2.181042, 
    2.173991, 2.16799, 2.16234, 2.155889, 2.147739, 2.124988, 2.070389, 
    1.996941, 1.930994, 1.891246, 1.876698, 1.899448, 1.969497, 2.065744, 
    2.192089, 2.358031, 2.524372, 2.657964, 2.766709, 2.852257, 2.890605, 
    2.890952, 2.864, 2.541903, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.1109116, 1.138095, 1.270278, 1.432592, 
    3.064538, 3.437778, 3.619718, 3.739362, 3.743465, 3.66592, 3.597974, 
    3.545077, 3.50438, 3.449482, 3.377733, 3.294085, 3.206636, 3.161986, 
    3.163987, 3.170887, 3.178089, 3.179841, 3.177493, 3.172345, 3.167847, 
    2.692927, 0.7927978, 0, 0, 0, 1.602748, 3.204447, 3.200897, 3.195647, 
    3.189246, 3.177246, 3.159695, 3.137493, 3.109492, 3.073791, 3.029739, 
    3.003136, 2.948484, 2.85043, 2.469381, 0, 0.6053592, 0.3632155, 0, 0, 0, 
    0, 0, 0.7795535, 2.600514, 2.589571, 2.554476, 2.495876, 2.430277, 
    2.369226, 2.261076, 2.142929, 2.025782, 0.5929598, 0.7387434, 0.249948, 
    1.250851, 1.649995, 1.629648, 1.634252, 1.649806, 1.663962, 1.677767, 
    1.694522, 1.715826, 1.74273, 1.776533, 1.809786, 1.837838, 1.862389, 
    1.885291, 1.903542, 1.916093, 1.924443, 1.929244, 1.929594, 1.929595, 
    1.929595, 1.930046, 1.930096, 1.929846, 1.929596, 1.929596, 1.929596, 
    1.929596, 1.929596, 1.929596, 1.929446, 1.927596, 1.922245, 1.911795, 
    1.896244, 1.877593, 1.855092, 1.825791, 1.791389, 1.755587, 1.720136, 
    1.686184, 1.653633,
  1.449578, 1.417727, 1.349723, 1.275166, 1.20581, 1.136804, 1.061698, 
    0.9901924, 0.9357878, 0.9023848, 0.9067854, 0.9486905, 1.008801, 
    1.076962, 1.144422, 1.199629, 1.235085, 1.256189, 1.264891, 1.26259, 
    1.256589, 1.250939, 1.247539, 1.256839, 1.27409, 1.296242, 1.325895, 
    1.353499, 1.371101, 1.377151, 1.368998, 1.355245, 1.337843, 1.322192, 
    1.311941, 1.30899, 1.31484, 1.32734, 1.348991, 1.378342, 1.414093, 
    1.457894, 1.513095, 1.570096, 1.622096, 1.674096, 1.733496, 1.799093, 
    1.868091, 1.946888, 2.046837, 2.191999, 2.352862, 2.512318, 2.66252, 
    2.777916, 2.85386, 2.903201, 2.930242, 2.933978, 2.907304, 2.880632, 
    2.857365, 2.872091, 2.93097, 3.0112, 3.09863, 3.184208, 3.247394, 
    3.268939, 3.134857, 1.645939, 0.8389117, 0, 0, 0, 0, 0, 4.341269, 
    4.875992, 4.868471, 4.816144, 4.748302, 4.675455, 4.605262, 4.514073, 
    4.415182, 4.352083, 4.332532, 4.321732, 4.293981, 4.232533, 4.127529, 
    4.004666, 3.847555, 3.650147, 3.42574, 3.175437, 2.935637, 2.742389, 
    2.595492, 2.468543, 2.358893, 2.280043, 2.232493, 2.205942, 2.196092, 
    2.190791, 2.185991, 2.18119, 2.17629, 2.169039, 2.146989, 2.091339, 
    2.01449, 1.944942, 1.901244, 1.883095, 1.904596, 1.976395, 2.077244, 
    2.211691, 2.391684, 2.574027, 2.719222, 2.836068, 2.924717, 2.965916, 
    2.972963, 2.952009, 2.622063, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7228128, 0, 0, 0, 1.465292, 2.275689, 
    3.682217, 3.812912, 3.813911, 3.724518, 3.648973, 3.588827, 3.54193, 
    3.482883, 3.408984, 3.324583, 3.237132, 3.192032, 3.192483, 3.197135, 
    3.200587, 3.198139, 3.190992, 3.181395, 3.173547, 2.220748, 0, 0, 0, 0, 
    1.606248, 3.211096, 3.207396, 3.202296, 3.196746, 3.185945, 3.170244, 
    3.150743, 3.125991, 3.093538, 3.052787, 3.029437, 2.978984, 2.889329, 
    2.509877, 0, 0, 0, 0, 0, 0, 0, 0, 0.7708557, 2.567021, 2.543178, 2.50103, 
    2.44308, 2.37578, 2.314781, 2.204834, 2.081386, 1.492047, 0.2919172, 
    0.7628692, 1.062488, 1.605295, 1.560849, 1.5355, 1.533453, 1.541058, 
    1.544114, 1.54732, 1.555074, 1.569077, 1.58973, 1.617583, 1.645736, 
    1.669588, 1.69099, 1.711341, 1.727592, 1.738592, 1.746093, 1.749843, 
    1.749794, 1.749094, 1.749094, 1.749044, 1.748594, 1.748344, 1.747744, 
    1.747594, 1.747594, 1.747594, 1.747244, 1.747095, 1.747095, 1.745844, 
    1.741094, 1.731794, 1.717693, 1.700842, 1.680491, 1.654239, 1.622937, 
    1.591085, 1.558883, 1.528181, 1.498729,
  1.315074, 1.286022, 1.226515, 1.164658, 1.107051, 1.048745, 0.9842385, 
    0.9232827, 0.877028, 0.8496742, 0.8530746, 0.8829832, 0.9255427, 
    0.9751029, 1.025113, 1.066421, 1.091826, 1.10568, 1.111132, 1.109832, 
    1.10683, 1.102778, 1.100427, 1.109376, 1.124578, 1.14363, 1.167783, 
    1.188637, 1.20159, 1.206142, 1.20199, 1.193437, 1.180334, 1.167232, 
    1.158881, 1.15713, 1.16358, 1.17598, 1.195981, 1.223233, 1.256335, 
    1.297137, 1.349739, 1.40564, 1.45634, 1.508091, 1.567691, 1.635691, 
    1.70784, 1.790488, 1.893986, 2.021742, 2.16485, 2.314954, 2.462755, 
    2.58595, 2.672844, 2.736286, 2.779327, 2.805116, 2.816549, 2.823083, 
    2.828018, 2.892186, 2.993958, 3.113234, 3.24071, 3.367435, 3.457368, 
    2.22649, 1.542852, 0, 0, 0, 0, 0, 0, 0, 4.485769, 4.98928, 4.933955, 
    4.842226, 4.750196, 4.655369, 4.562538, 4.4494, 4.338855, 4.273806, 
    4.252558, 4.242159, 4.217456, 4.161048, 4.071784, 3.969923, 3.830863, 
    3.647507, 3.432752, 3.187549, 2.948898, 2.752999, 2.603499, 2.476398, 
    2.367846, 2.289995, 2.243744, 2.218493, 2.209642, 2.205592, 2.201991, 
    2.198041, 2.193891, 2.18819, 2.166739, 2.110639, 2.032539, 1.961989, 
    1.91574, 1.894342, 1.913694, 1.984595, 2.084748, 2.221299, 2.409646, 
    2.600844, 2.752491, 2.872991, 2.96294, 3.008236, 3.023731, 3.010875, 
    2.676925, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.3508393, 0.7530685, 0.8019553, 0, 0, 0, 0, 0.5452868, 1.858671, 
    1.92635, 3.665215, 3.760892, 3.680243, 3.616043, 3.565444, 3.504044, 
    3.431242, 3.350388, 3.267983, 3.22508, 3.223232, 3.224884, 3.223687, 
    3.216789, 3.204493, 3.190445, 3.180096, 2.224597, 0, 0, 0, 0, 1.609249, 
    3.217097, 3.213897, 3.209296, 3.203996, 3.194495, 3.180694, 3.162993, 
    3.141742, 3.11279, 3.075537, 3.053086, 3.006984, 2.926929, 2.550677, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.7579589, 2.521031, 2.489633, 2.443185, 2.388832, 
    2.322779, 2.259181, 2.146532, 2.017986, 0.9727684, 0, 1.495238, 1.586796, 
    1.520301, 1.470253, 1.443554, 1.435207, 1.434812, 1.429166, 1.42347, 
    1.424423, 1.432577, 1.448779, 1.472081, 1.495833, 1.516085, 1.534586, 
    1.552838, 1.567289, 1.57684, 1.58359, 1.58684, 1.58644, 1.58584, 
    1.585591, 1.585091, 1.584441, 1.584091, 1.583741, 1.583141, 1.583091, 
    1.582842, 1.582241, 1.582091, 1.582091, 1.581091, 1.576941, 1.56839, 
    1.556139, 1.541088, 1.522887, 1.499735, 1.471833, 1.443581, 1.414979, 
    1.387677, 1.361325,
  1.199066, 1.174563, 1.127005, 1.077996, 1.03179, 0.984183, 0.9301264, 
    0.8782213, 0.8392672, 0.8171148, 0.8178677, 0.8348746, 0.861784, 
    0.8942945, 0.9287037, 0.9570114, 0.973816, 0.9825685, 0.9853194, 
    0.9847189, 0.9853167, 0.985563, 0.9872096, 0.9972087, 1.011059, 1.027011, 
    1.045314, 1.060118, 1.067571, 1.069423, 1.066623, 1.062121, 1.053818, 
    1.045165, 1.039762, 1.039261, 1.046061, 1.058112, 1.075414, 1.098367, 
    1.126322, 1.162325, 1.209929, 1.263182, 1.312583, 1.363384, 1.421186, 
    1.487538, 1.55959, 1.64319, 1.749389, 1.871439, 2.003096, 2.1463, 2.2933, 
    2.423995, 2.521339, 2.598031, 2.65717, 2.699361, 2.7348, 2.766036, 
    2.810553, 2.935261, 3.091422, 2.071326, 1.661226, 1.735168, 1.787233, 
    0.540225, 0, 0, 0, 0, 0.2534325, 2.545711, 2.589756, 2.619119, 4.90636, 
    5.119713, 5.017444, 4.885422, 4.750703, 4.612134, 4.484308, 4.348423, 
    4.231576, 4.166174, 4.145072, 4.136569, 4.116816, 4.072509, 4.003049, 
    3.917841, 3.792034, 3.617031, 3.410775, 3.177213, 2.94226, 2.74556, 
    2.596509, 2.472657, 2.367754, 2.292602, 2.24875, 2.225199, 2.218047, 
    2.214897, 2.212247, 2.208896, 2.205895, 2.201494, 2.180994, 2.125842, 
    2.049989, 1.981138, 1.934238, 1.910089, 1.925492, 1.990098, 2.084752, 
    2.217905, 2.405609, 2.596812, 2.749014, 2.868316, 2.957567, 3.009363, 
    3.033259, 3.027056, 2.841919, 1.027713, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    3.434255, 3.362348, 3.292138, 3.256082, 3.252732, 3.250785, 3.244738, 
    3.233091, 3.216243, 3.198695, 3.027496, 1.114743, 0, 0, 0, 0, 0.8062575, 
    1.611814, 3.058448, 3.215796, 3.210746, 3.202545, 3.190244, 3.174443, 
    3.155742, 3.130389, 3.097336, 2.615762, 1.51214, 1.474292, 1.286708, 0, 
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    2.338879, 2.274779, 2.20893, 2.09463, 1.961083, 0.9432672, 0, 1.43134, 
    1.509997, 1.436301, 1.381504, 1.354554, 1.340457, 1.332812, 1.321315, 
    1.309468, 1.304871, 1.309073, 1.322374, 1.342576, 1.363077, 1.380579, 
    1.39668, 1.412432, 1.425333, 1.433334, 1.439234, 1.441885, 1.441435, 
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    1.435937, 1.435337, 1.435086, 1.435086, 1.435086, 1.434086, 1.430286, 
    1.422486, 1.412085, 1.398834, 1.382782, 1.362331, 1.338228, 1.313326, 
    1.288424, 1.264622, 1.24107,
  1.103057, 1.084503, 1.049095, 1.013337, 0.9780293, 0.9409725, 0.896966, 
    0.852861, 0.8200073, 0.8004565, 0.7956607, 0.8023672, 0.8155253, 
    0.832535, 0.8528439, 0.8703502, 0.881303, 0.886655, 0.8884552, 0.8894536, 
    0.8933017, 0.8985488, 0.9058949, 0.9178433, 0.9312937, 0.9443954, 
    0.9573488, 0.9667521, 0.9695547, 0.9692059, 0.9667554, 0.9650041, 
    0.9610513, 0.9570986, 0.9551966, 0.9565949, 0.9625461, 0.9723485, 
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    1.231786, 1.28509, 1.346294, 1.415347, 1.496999, 1.6027, 1.726199, 
    1.853597, 1.992898, 2.142245, 2.282037, 2.39008, 2.480271, 2.557059, 
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    5.240083, 5.085719, 4.897764, 4.701113, 4.520636, 4.36285, 4.210307, 
    4.087562, 4.023611, 4.007357, 4.005102, 3.992995, 3.959637, 3.90383, 
    3.828775, 3.711172, 3.544863, 3.349555, 3.132545, 2.907286, 2.716977, 
    2.572772, 2.454816, 2.355662, 2.284859, 2.244256, 2.222904, 2.217004, 
    2.214554, 2.212503, 2.209753, 2.207853, 2.204152, 2.183753, 2.130801, 
    2.058899, 1.992148, 1.944999, 1.918501, 1.928305, 1.984659, 2.072015, 
    2.199269, 2.379725, 2.564631, 2.711785, 2.826739, 2.911344, 2.962448, 
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    3.417267, 3.359457, 3.307293, 3.282883, 3.279733, 3.274485, 3.263638, 
    3.246692, 3.226743, 3.207144, 2.873846, 0, 0, 0, 0, 0, 0, 0, 1.612769, 
    3.221446, 3.216996, 3.209745, 3.198345, 3.184394, 3.167993, 3.145991, 
    3.116289, 2.172092, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.212559, 2.446072, 
    2.441519, 2.40757, 2.352924, 2.294778, 2.230279, 2.163679, 2.046082, 
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    1.254454, 1.240557, 1.223861, 1.207514, 1.199115, 1.200817, 1.212318, 
    1.230569, 1.24897, 1.264321, 1.278272, 1.291474, 1.302526, 1.309576, 
    1.314177, 1.315977, 1.315777, 1.314577, 1.313728, 1.312528, 1.310779, 
    1.309579, 1.308729, 1.307679, 1.307279, 1.306579, 1.30623, 1.30608, 
    1.30608, 1.30508, 1.30163, 1.294929, 1.285529, 1.274327, 1.260326, 
    1.242424, 1.221972, 1.200569, 1.179167, 1.158615, 1.138313,
  1.026547, 1.014293, 0.990535, 0.9660281, 0.9412709, 0.9140642, 0.8793579, 
    0.8427027, 0.8140007, 0.7947512, 0.7840051, 0.7814614, 0.7837681, 
    0.7885252, 0.7965832, 0.8056384, 0.8127908, 0.8164411, 0.8185903, 
    0.8220385, 0.8285369, 0.8374847, 0.8492326, 0.8633312, 0.8762815, 
    0.8867834, 0.8957356, 0.9003388, 0.90029, 0.8991899, 0.8986876, 
    0.8993856, 0.8990333, 0.8983316, 0.89908, 0.9012807, 0.9050326, 0.910536, 
    0.9171912, 0.9260975, 0.9388036, 0.9588599, 0.9900659, 1.029321, 
    1.068326, 1.109782, 1.156587, 1.211441, 1.275595, 1.352699, 1.454503, 
    1.578305, 1.707604, 1.84915, 2.005493, 2.156535, 2.276825, 2.381365, 
    2.4777, 2.557783, 2.620023, 2.679469, 1.548863, 1.051839, 0, 0, 0, 
    0.6625094, 2.233829, 2.289, 0.2301732, 0, 0, 0, 2.686194, 5.566989, 
    5.593565, 5.577107, 5.495951, 5.343225, 5.137709, 4.884953, 4.617901, 
    4.387897, 4.196878, 4.029992, 2.198962, 1.973093, 1.966284, 3.280271, 
    3.840066, 3.818807, 3.773849, 3.706144, 3.594839, 3.437385, 3.254826, 
    3.051966, 2.841755, 2.665195, 2.531286, 2.422229, 2.331072, 2.266417, 
    2.229764, 2.211312, 2.206461, 2.204211, 2.202511, 2.20046, 2.19886, 
    2.19501, 2.175009, 2.124557, 2.055306, 1.989206, 1.940258, 1.910561, 
    1.913216, 1.960424, 2.039281, 2.158038, 2.329245, 2.505352, 2.646306, 
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    1.178813, 0.8229334, 0.06649414, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8922632, 
    1.772259, 3.300139, 3.434932, 3.39027, 3.349807, 3.317543, 3.306385, 
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    3.192994, 3.178992, 3.15974, 3.133587, 2.18504, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.828324, 2.164773, 1.216372, 1.816118, 2.383313, 2.324465, 2.257473, 
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    1.380587, 1.29704, 1.237641, 1.207694, 1.181247, 1.160802, 1.138606, 
    1.119107, 1.108659, 1.109059, 1.119609, 1.13666, 1.15436, 1.167312, 
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    1.185471, 1.17732, 1.16757, 1.155718, 1.140466, 1.123214, 1.105311, 
    1.087409, 1.070506, 1.053354,
  0.9675383, 0.9608846, 0.9470284, 0.9322709, 0.916515, 0.8976097, 0.8713038, 
    0.8418983, 0.8164955, 0.7959968, 0.7799008, 0.7698553, 0.7637609, 
    0.7601159, 0.7592709, 0.7622246, 0.766776, 0.7706252, 0.7750726, 
    0.7811206, 0.7897692, 0.8001693, 0.813619, 0.8281697, 0.840021, 
    0.8480229, 0.8536755, 0.8545777, 0.8527789, 0.8530769, 0.856174, 
    0.8609201, 0.8640172, 0.8657154, 0.867915, 0.8694652, 0.8707669, 
    0.8713707, 0.8700771, 0.8694847, 0.8732917, 0.8844482, 0.9066056, 
    0.9376622, 0.969318, 1.003074, 1.04263, 1.090785, 1.14859, 1.219345, 
    1.31475, 1.435204, 1.564855, 1.711651, 1.876146, 2.037888, 2.17033, 
    2.289819, 2.407053, 2.509937, 1.935256, 1.335053, 0.1343015, 0, 0, 0, 
    0.2291053, 2.977666, 4.623775, 4.719247, 2.703126, 2.552459, 1.309779, 0, 
    2.896651, 5.794282, 5.785657, 5.726278, 5.604241, 5.421261, 5.171243, 
    4.858935, 4.524886, 4.229885, 3.995666, 3.813575, 0.3773675, 0, 
    0.8856674, 3.095949, 3.669084, 3.659526, 3.624619, 3.565212, 3.460708, 
    3.309602, 3.138844, 2.949883, 2.755721, 2.594659, 2.473798, 2.376039, 
    2.294931, 2.237775, 2.205771, 2.18987, 2.18597, 2.184219, 2.182768, 
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    1.920022, 1.885426, 1.879084, 1.914893, 1.98455, 2.093057, 2.254814, 
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    1.646768, 2.13447, 0, 0.6024037, 2.0082, 2.305513, 2.230267, 2.158522, 
    2.094121, 1.962379, 1.812784, 1.679785, 1.007329, 1.351969, 1.331434, 
    1.245535, 1.186234, 1.152736, 1.120292, 1.093296, 1.067697, 1.046149, 
    1.034649, 1.034799, 1.045099, 1.061699, 1.0789, 1.089551, 1.099153, 
    1.108004, 1.115256, 1.119557, 1.122108, 1.122908, 1.121759, 1.120059, 
    1.118359, 1.116509, 1.11411, 1.11231, 1.11051, 1.10906, 1.10776, 1.10681, 
    1.105861, 1.105012, 1.103912, 1.102562, 1.099462, 1.094012, 1.087111, 
    1.07856, 1.068609, 1.055957, 1.041455, 1.026803, 1.0125, 0.9989481, 
    0.9850457,
  0.9240286, 0.9215758, 0.91552, 0.9085655, 0.8997607, 0.887456, 0.8687002, 
    0.8454461, 0.8229944, 0.801245, 0.7808477, 0.7655013, 0.754004, 
    0.7446078, 0.738411, 0.7382622, 0.7417623, 0.7470108, 0.7545587, 
    0.7635562, 0.7737551, 0.7843048, 0.7970064, 0.8097084, 0.8192607, 
    0.8242636, 0.8257674, 0.8236198, 0.8212695, 0.823818, 0.8311644, 
    0.840611, 0.8477575, 0.8521053, 0.8558034, 0.8570037, 0.855756, 
    0.8510104, 0.8410674, 0.8313739, 0.8262806, 0.8285378, 0.8411952, 
    0.8638514, 0.8880572, 0.9140134, 0.9461191, 0.9869753, 1.037331, 
    1.100638, 1.187995, 1.302551, 1.428855, 1.577906, 1.747403, 1.917498, 
    2.059342, 2.192432, 2.330915, 2.084637, 0.6335045, 0, 0, 0, 0, 0, 
    0.4739261, 4.77767, 4.894558, 4.954741, 5.031673, 5.174451, 2.649708, 0, 
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    4.787526, 4.187097, 2.073438, 2.826184, 3.567506, 1.847094, 1.649826, 
    2.550515, 3.464857, 3.48525, 3.486292, 3.460885, 3.409928, 3.311773, 
    3.167718, 3.006611, 2.830452, 2.653238, 2.509423, 2.403311, 2.31855, 
    2.248291, 2.199285, 2.172281, 2.158928, 2.155528, 2.154228, 2.153028, 
    2.151477, 2.149328, 2.143779, 2.124781, 2.076731, 2.007082, 1.937535, 
    1.881788, 1.840743, 1.8249, 1.84871, 1.908818, 2.008125, 2.160932, 
    2.322837, 2.45359, 2.552494, 2.620048, 2.651302, 2.670357, 2.667706, 
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    0.9790365, 0.9895863, 1.006586, 1.022786, 1.031289, 1.038391, 1.045392, 
    1.050444, 1.053544, 1.055245, 1.054996, 1.053746, 1.052046, 1.049997, 
    1.047497, 1.044448, 1.042298, 1.040498, 1.038598, 1.037099, 1.035549, 
    1.034349, 1.0326, 1.0311, 1.029051, 1.025951, 1.020951, 1.014251, 1.0068, 
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  0.8940201, 0.8943683, 0.8939151, 0.8919116, 0.8882579, 0.8807549, 
    0.8676017, 0.8488483, 0.8287462, 0.8068958, 0.7843466, 0.7663972, 
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    1.792856, 1.940852, 2.084994, 2.241881, 2.007955, 0.597248, 0, 0, 0, 0, 
    0, 2.523936, 5.045294, 5.107595, 5.124384, 5.160069, 5.265152, 4.069662, 
    0.8309559, 0.2967963, 3.864066, 5.92598, 5.828398, 5.659372, 5.412352, 
    5.081086, 3.10045, 2.142108, 1.818499, 2.554174, 3.301928, 3.205963, 
    3.187497, 3.220683, 3.261575, 3.288171, 3.298764, 3.282157, 3.239651, 
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    1.887797, 1.82855, 1.781204, 1.755763, 1.767573, 1.817332, 1.908039, 
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    0.9025776, 0.896625,
  0.8755115, 0.8776102, 0.880358, 0.8810071, 0.8800061, 0.875504, 0.8651525, 
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    5.201991, 5.209234, 5.187411, 5.202411, 5.289009, 5.464756, 3.664718, 
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    0.8880194, 0.8823679, 0.8775651, 0.8743629,
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    4.713497, 5.240042, 5.21326, 5.180501, 5.197547, 5.285348, 5.461001, 
    5.672698, 5.877842, 5.993579, 5.978482, 5.819919, 3.053209, 2.582458, 
    2.361119, 3.593394, 3.710154, 3.213219, 2.919513, 2.759497, 2.702528, 
    2.723311, 2.781704, 2.832402, 2.865449, 2.891642, 2.892434, 2.864526, 
    2.785269, 2.665961, 2.538149, 2.408583, 2.290516, 2.20265, 2.140838, 
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    2.006807, 2.004658, 2.000658, 1.98806, 1.957314, 1.904866, 1.832917, 
    1.758267, 1.693819, 1.637772, 1.595377, 1.583287, 1.610348, 1.680808, 
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    0.5049335, 0.9832177, 0.9969319, 1.666472, 0.7987588, 0.4933621, 
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    0.9300055, 0.9254568, 0.9207578, 0.915359, 0.9084603, 0.9008623, 
    0.8937634, 0.8870139, 0.8801147, 0.8743139, 0.8697634, 0.8655623, 
    0.8625619, 0.8611609,
  0.8535107, 0.8563107, 0.8613107, 0.8636605, 0.8637592, 0.8614088, 0.854207, 
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    0.7749996, 0.7795019, 0.7812057, 0.7804089, 0.7774635, 0.772267, 
    0.7639198, 0.7530713, 0.744571, 0.7490194, 0.7671157, 0.7940598, 
    0.822455, 0.8465009, 0.866347, 0.8829932, 0.8914394, 0.8879864, 
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    5.214737, 5.187186, 5.210378, 5.301322, 5.476968, 5.68902, 5.894626, 
    6.014232, 5.975524, 5.775118, 5.477964, 5.093108, 4.627202, 4.065396, 
    3.42344, 2.924279, 2.652742, 2.518059, 2.483287, 2.520922, 2.584419, 
    2.636369, 2.670868, 2.698574, 2.701678, 2.67678, 2.603476, 2.493666, 
    2.378404, 2.265588, 2.165422, 2.093457, 2.044095, 2.006636, 1.977229, 
    1.958722, 1.949569, 1.945317, 1.944467, 1.943267, 1.941567, 1.939167, 
    1.934069, 1.918821, 1.884823, 1.830176, 1.757876, 1.682477, 1.616578, 
    1.55768, 1.509636, 1.488243, 1.504603, 1.563315, 1.667828, 1.786042, 
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    1.26713, 1.196726, 1.135423, 1.082721, 1.031926, 0.9944786, 0.9668289, 
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    0.8784521, 0.870154, 0.8636561, 0.8585078, 0.8544087, 0.8511097, 0.8498107,
  0.8415132, 0.8446625, 0.849413, 0.8523122, 0.8530122, 0.8512615, 0.845211, 
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    1.476129, 1.058656, 0.08557376, 0, 0, 0, 0, 0, 0, 0, 2.649508, 5.265343, 
    5.221001, 5.193103, 5.219854, 5.315302, 5.497492, 5.714679, 5.924066, 
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    3.125252, 2.645775, 2.413234, 2.309505, 2.296135, 2.345177, 2.410925, 
    2.463724, 2.498624, 2.519382, 2.517938, 2.491987, 2.425129, 2.325518, 
    2.222656, 2.125041, 2.041275, 1.983311, 1.945102, 1.916693, 1.894636, 
    1.881482, 1.875079, 1.872528, 1.871977, 1.870777, 1.869077, 1.866328, 
    1.859579, 1.842381, 1.806083, 1.749834, 1.677334, 1.601484, 1.534835, 
    1.473787, 1.420991, 1.392148, 1.399107, 1.446667, 1.53783, 1.642693, 
    1.730402, 1.797458, 1.843661, 1.853063, 1.839912, 1.80856, 1.750308, 
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    1.181784, 1.124196, 1.066705, 1.025459, 0.9971603, 0.9844082, 0.987954, 
    1.0022, 1.020647, 1.039846, 1.049447, 1.048199, 1.042752, 1.033258, 
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    0.9819316, 0.977431, 0.9734817, 0.9702309, 0.9669316, 0.9630817, 
    0.9592322, 0.9543334, 0.9483348, 0.9405371, 0.9324888, 0.9233912, 
    0.9118939, 0.8989965, 0.8872495, 0.8762025, 0.8656051, 0.8567078, 
    0.8497596, 0.8445609, 0.8401621, 0.8383122,
  0.8280149, 0.8311656, 0.835516, 0.838816, 0.8395159, 0.8384652, 0.8333138, 
    0.8241624, 0.8107612, 0.7928092, 0.7728074, 0.756856, 0.7452548, 
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    0.7720053, 0.7675079, 0.7583618, 0.746667, 0.7345203, 0.7209735, 
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    5.213765, 5.184465, 5.212312, 5.310709, 5.503246, 5.730787, 5.949332, 
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    2.839941, 2.395645, 2.200957, 2.12423, 2.125968, 2.17817, 2.237685, 
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    2.074652, 1.991437, 1.921674, 1.875563, 1.845855, 1.824898, 1.808494, 
    1.798591, 1.794339, 1.792888, 1.792039, 1.790789, 1.789089, 1.78599, 
    1.77809, 1.759442, 1.721593, 1.665193, 1.592941, 1.51799, 1.451089, 
    1.389089, 1.333292, 1.298347, 1.297604, 1.336063, 1.415325, 1.508286, 
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    1.056311, 1.038468, 1.023774, 1.014729, 1.010081, 1.006981, 1.00423, 
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    0.8397611, 0.8330132, 0.827664, 0.8251652,
  0.8135167, 0.8159674, 0.8199679, 0.8228189, 0.8235189, 0.8228189, 
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    5.24299, 5.187045, 5.158043, 5.191883, 5.297571, 5.496768, 5.728518, 
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    2.579276, 2.181769, 2.024676, 1.97225, 1.973363, 2.016632, 2.066188, 
    2.110842, 2.143346, 2.158997, 2.155946, 2.136091, 2.08588, 2.013113, 
    1.937646, 1.86883, 1.811516, 1.775006, 1.752348, 1.737043, 1.724439, 
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    1.696038, 1.675491, 1.636592, 1.580541, 1.509939, 1.436638, 1.370087, 
    1.307388, 1.24964, 1.210494, 1.204099, 1.235157, 1.304267, 1.386977, 
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    1.066222, 1.045628, 1.032382, 1.026234, 1.023733, 1.022281, 1.020828, 
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    0.9824268, 0.9714795, 0.9589822, 0.9447356, 0.92639, 0.9063444, 
    0.8877484, 0.8705524, 0.8541566, 0.8401592, 0.8295111, 0.820963, 
    0.8146145, 0.8110156,
  0.7980186, 0.7997694, 0.8029708, 0.8053209, 0.8060209, 0.8053209, 
    0.8028206, 0.7972179, 0.7882645, 0.7754603, 0.760756, 0.7492524, 
    0.7417483, 0.7387949, 0.7401429, 0.7446411, 0.7514918, 0.7597427, 
    0.7690942, 0.7725457, 0.7684976, 0.7585005, 0.7419044, 0.7228569, 
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    0.7312139, 0.7717643, 0.8100139, 0.8454619, 0.8798583, 0.9045547, 
    0.9142506, 0.9057464, 0.8843394, 0.8606805, 0.8427216, 0.8300135, 
    0.825406, 0.8292002, 0.8381949, 0.8489388, 0.8598365, 0.8624877, 
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    0.416724, 0.3665985, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2626078, 3.387771, 
    5.147545, 5.130719, 5.173857, 5.28406, 5.478274, 5.706432, 5.93616, 
    6.039205, 5.779303, 5.292646, 2.45756, 0, 1.667862, 2.994091, 2.399878, 
    2.026282, 1.88539, 1.836908, 1.829713, 1.861969, 1.904928, 1.943687, 
    1.972492, 1.987143, 1.985441, 1.970784, 1.93167, 1.874502, 1.814135, 
    1.759369, 1.714754, 1.686994, 1.669839, 1.658285, 1.648832, 1.643331, 
    1.641329, 1.64073, 1.640029, 1.638629, 1.636331, 1.631232, 1.619586, 
    1.597037, 1.557338, 1.502236, 1.433884, 1.362431, 1.296331, 1.232681, 
    1.173582, 1.131785, 1.120341, 1.145297, 1.205806, 1.280464, 1.34937, 
    1.407422, 1.452319, 1.475562, 1.478353, 1.465743, 1.43373, 1.386365, 
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    1.520602, 1.456656, 1.380127, 1.286447, 1.220161, 1.178372, 1.164818, 
    1.169871, 1.187421, 1.21162, 1.230023, 1.232677, 1.218683, 1.193493, 
    1.157705, 1.122715, 1.090972, 1.064479, 1.047583, 1.040883, 1.039232, 
    1.03968, 1.040378, 1.039224, 1.036723, 1.03492, 1.033366, 1.030563, 
    1.025962, 1.018563, 1.007865, 0.9948671, 0.9799699, 0.9622743, 0.9393305, 
    0.9141378, 0.8907448, 0.8694502, 0.8492545, 0.8327077, 0.8200104, 
    0.8097624, 0.8017148, 0.7972158,
  0.7855109, 0.7869109, 0.7890121, 0.7908133, 0.7915133, 0.7908133, 
    0.7889121, 0.7853101, 0.7792566, 0.7704014, 0.7596964, 0.751492, 
    0.7467397, 0.7461874, 0.7495845, 0.7549843, 0.7614843, 0.768686, 
    0.776538, 0.778091, 0.7722433, 0.7600957, 0.7413966, 0.7203988, 
    0.7002494, 0.6811509, 0.6633523, 0.6534528, 0.6617543, 0.6854573, 
    0.720262, 0.7593153, 0.7967675, 0.8331673, 0.8698656, 0.8974622, 
    0.9110072, 0.9070506, 0.8924913, 0.8776293, 0.8679686, 0.8632078, 
    0.8657482, 0.8741431, 0.8859419, 0.9001899, 0.9126885, 0.9146887, 
    0.9111902, 0.9045442, 0.8924522, 0.8742654, 0.6507633, 0.4383714, 
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    2.567545, 2.591603, 2.646335, 2.740613, 4.849594, 5.910301, 6.006275, 
    5.695648, 5.134081, 0.4988751, 0.5086169, 2.391129, 2.769045, 2.22489, 
    1.880017, 1.758162, 1.710192, 1.699695, 1.724207, 1.75792, 1.787782, 
    1.810741, 1.824093, 1.825438, 1.817678, 1.791811, 1.75104, 1.70637, 
    1.665902, 1.634336, 1.614178, 1.600824, 1.591323, 1.583323, 1.578822, 
    1.577073, 1.576722, 1.576022, 1.574472, 1.570824, 1.563678, 1.548732, 
    1.524385, 1.484585, 1.431481, 1.366376, 1.297872, 1.233069, 1.170366, 
    1.111015, 1.067367, 1.051571, 1.070779, 1.122441, 1.189301, 1.252609, 
    1.308562, 1.355061, 1.384304, 1.395842, 1.392331, 1.371318, 1.336652, 
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    1.503231, 1.3928, 1.312619, 1.257639, 1.239455, 1.239314, 1.254171, 
    1.27498, 1.289037, 1.287643, 1.268699, 1.237503, 1.195456, 1.151916, 
    1.113225, 1.081531, 1.061783, 1.055034, 1.054482, 1.057079, 1.060026, 
    1.062171, 1.061967, 1.063163, 1.06436, 1.064157, 1.061205, 1.054052, 
    1.042752, 1.027605, 1.00946, 0.9874659, 0.9592223, 0.9277797, 0.8989855, 
    0.8726422, 0.8478985, 0.828602, 0.8137543, 0.8017065, 0.7922574, 0.7867588,
  0.7795038, 0.7805547, 0.782454, 0.7839534, 0.7852519, 0.7851504, 0.7844486, 
    0.7830451, 0.7799911, 0.7748373, 0.7681823, 0.7635778, 0.7612242, 
    0.7627214, 0.7679697, 0.7739685, 0.7802192, 0.7861207, 0.7920234, 
    0.7916251, 0.7844761, 0.7713761, 0.7513783, 0.729229, 0.7082305, 
    0.687932, 0.6688338, 0.6573372, 0.6629925, 0.6826494, 0.7123076, 
    0.747065, 0.7817695, 0.8171723, 0.8549713, 0.8852181, 0.9025139, 
    0.9047551, 0.8990924, 0.894529, 0.894466, 0.8989539, 0.9096434, 
    0.9232854, 0.9364333, 0.9527302, 0.9666283, 0.9691766, 0.9654256, 
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    2.995126, 2.824347, 2.525496, 0.2448653, 0.9698758, 3.004908, 2.481465, 
    1.988045, 1.708058, 1.633894, 1.602473, 1.589228, 1.603341, 1.625656, 
    1.64482, 1.661078, 1.673828, 1.679671, 1.680261, 1.668044, 1.644722, 
    1.616351, 1.590433, 1.570969, 1.557561, 1.546809, 1.538158, 1.530308, 
    1.526407, 1.526801, 1.528247, 1.527995, 1.526146, 1.520549, 1.510054, 
    1.491259, 1.464064, 1.423316, 1.371367, 1.309414, 1.244759, 1.183303, 
    1.123599, 1.065895, 1.021745, 1.002798, 1.015357, 1.056073, 1.113186, 
    1.169346, 1.222001, 1.268852, 1.303097, 1.322588, 1.328776, 1.318463, 
    1.296447, 1.270281, 1.246564, 1.226595, 1.216224, 0.607233, 0, 0, 0, 0, 
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    1.89385, 1.90101, 1.821817, 1.742629, 1.636541, 1.511557, 1.415627, 
    1.342801, 1.308824, 1.304325, 1.317423, 1.331231, 1.337344, 1.327459, 
    1.303965, 1.268571, 1.223276, 1.174877, 1.130981, 1.095834, 1.074885, 
    1.068333, 1.069481, 1.074129, 1.080574, 1.086917, 1.089963, 1.09441, 
    1.099303, 1.102548, 1.102942, 1.098787, 1.088485, 1.070688, 1.048693, 
    1.022148, 0.9882557, 0.9514115, 0.9169698, 0.8842788, 0.8535372, 
    0.8303435, 0.8132468, 0.7996484, 0.7887512, 0.7821025,
  0.7804934, 0.7815425, 0.7845903, 0.7893323, 0.7947232, 0.7997612, 
    0.8048977, 0.8087376, 0.8084344, 0.8063804, 0.8035256, 0.8011743, 
    0.7991773, 0.7996328, 0.802441, 0.8056995, 0.8097048, 0.8147554, 
    0.820453, 0.8199016, 0.8136982, 0.8018948, 0.7827402, 0.7598914, 
    0.7379423, 0.7163442, 0.6950481, 0.6783082, 0.6774698, 0.6892334, 
    0.7098485, 0.7368611, 0.7672677, 0.8001215, 0.8376732, 0.8704697, 
    0.8917638, 0.9011541, 0.9051919, 0.9117268, 0.9219633, 0.9360507, 
    0.9554389, 0.974084, 0.9886825, 1.007479, 1.023226, 1.027972, 1.02542, 
    1.01587, 0.9946224, 0.6765032, 0, 0.3045965, 0.04351378, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8705794, 
    2.68641, 2.205544, 1.774104, 1.567752, 1.536106, 1.512557, 1.495812, 
    1.499326, 1.509392, 1.518404, 1.529858, 1.543507, 1.554899, 1.563838, 
    1.565169, 1.558399, 1.546079, 1.53446, 1.525148, 1.516644, 1.507542, 
    1.498793, 1.490993, 1.490235, 1.495778, 1.500972, 1.502819, 1.500519, 
    1.492273, 1.477729, 1.454734, 1.42334, 1.378798, 1.32585, 1.265548, 
    1.204793, 1.147538, 1.092032, 1.037776, 0.9950732, 0.974025, 0.9795839, 
    1.00815, 1.053766, 1.101577, 1.149385, 1.195088, 1.232285, 1.258077, 
    1.272668, 1.273054, 1.263288, 1.249024, 1.237559, 1.231742, 1.235975, 
    0.6197349, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.8416376, 1.324703, 2.411455, 1.795696, 0.3557648, 0, 0, 0, 0.715968, 
    0.9857089, 0.9319004, 0.8801863, 0.8508135, 0.8238842, 0.5620226, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7527183, 
    2.029364, 2.04532, 1.960078, 1.872039, 1.753659, 1.616573, 1.131874, 
    1.193895, 1.373958, 1.367612, 1.380415, 1.388671, 1.385732, 1.366142, 
    1.334457, 1.289825, 1.238984, 1.188737, 1.143237, 1.107536, 1.086934, 
    1.081284, 1.084231, 1.091027, 1.102021, 1.112966, 1.119959, 1.128353, 
    1.138346, 1.147536, 1.154176, 1.155916, 1.14866, 1.12941, 1.103915, 
    1.072821, 1.033228, 0.9902381, 0.9486982, 0.9078602, 0.8687233, 
    0.8399315, 0.8199856, 0.8049378, 0.7922895, 0.7844412,
  0.7904795, 0.7925776, 0.7988213, 0.8099622, 0.8224523, 0.8359915, 
    0.8518264, 0.8653604, 0.8723937, 0.879074, 0.8859026, 0.8926789, 
    0.8993024, 0.9083728, 0.9170483, 0.9224834, 0.9267274, 0.9313279, 
    0.9355344, 0.9312961, 0.9207614, 0.9018345, 0.8726168, 0.8392443, 
    0.8078691, 0.7782391, 0.7488073, 0.7214258, 0.7086962, 0.7071684, 
    0.7145386, 0.7315528, 0.7560123, 0.7857169, 0.821869, 0.8565174, 
    0.8827602, 0.8995501, 0.9132864, 0.9306226, 0.9502112, 0.9732997, 
    1.001488, 1.023683, 1.04018, 1.061227, 1.080221, 1.088217, 1.089159, 
    1.081704, 1.005501, 0.3481466, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4116694, 1.788526, 1.976916, 
    1.617313, 1.480978, 1.464834, 1.440634, 1.420938, 1.415099, 1.41486, 
    1.417066, 1.426517, 1.442163, 1.458857, 1.475198, 1.488186, 1.49497, 
    1.496802, 1.497239, 1.495332, 1.489578, 1.481527, 1.472776, 1.465425, 
    1.470068, 1.480762, 1.490406, 1.495102, 1.492552, 1.481505, 1.462412, 
    1.43427, 1.397828, 1.348283, 1.293835, 1.234135, 1.175684, 1.122778, 
    1.07267, 1.023661, 0.9845046, 0.9627548, 0.9620126, 0.9796259, 1.01399, 
    1.053052, 1.094561, 1.137815, 1.176663, 1.206809, 1.227503, 1.237042, 
    1.23748, 1.234266, 1.232804, 1.236246, 1.248691, 0.9428823, 0.1892326, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6058437, 2.060281, 
    2.425867, 2.418626, 2.395734, 0.7148959, 0.1121933, 1.114303, 1.080047, 
    1.753731, 1.975353, 1.871492, 1.774474, 1.717718, 1.662721, 1.37208, 
    0.3956683, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    2.04798, 2.182364, 2.089576, 1.988749, 1.856167, 1.704143, 0.8144537, 
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    1.356734, 1.304287, 1.249638, 1.198586, 1.152986, 1.118235, 1.098485, 
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    1.183932, 1.201619, 1.217155, 1.227792, 1.225833, 1.206782, 1.177887, 
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    0.8349741, 0.8182265, 0.8042782, 0.7952796,
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    0.9366909, 0.9566218, 0.9782997, 1.002423, 1.028094, 1.055513, 1.086431, 
    1.114602, 1.132731, 1.142422, 1.147221, 1.146727, 1.133391, 1.109962, 
    1.073936, 1.022167, 0.9668999, 0.9165778, 0.8708028, 0.824781, 0.7802105, 
    0.7506869, 0.7323615, 0.7237357, 0.7283062, 0.7455171, 0.7714728, 
    0.8061249, 0.8435187, 0.876507, 0.9014445, 0.9251804, 0.9517187, 
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    1.350568, 1.350318, 1.360067, 1.377864, 1.398061, 1.419307, 1.438901, 
    1.45519, 1.466531, 1.474374, 1.477119, 1.473516, 1.466763, 1.458962, 
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    1.459097, 1.424706, 1.381617, 1.327773, 1.271127, 1.210729, 1.153427, 
    1.104273, 1.059317, 1.017506, 0.9840465, 0.9637423, 0.9588459, 0.9689533, 
    0.9938657, 1.025025, 1.060383, 1.100488, 1.13944, 1.171788, 1.196782, 
    1.212127, 1.220217, 1.226007, 1.231799, 1.24104, 1.256637, 1.266737, 
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    0.808652, 1.187526, 1.215845, 1.842965, 2.464865, 2.471306, 2.458761, 
    2.422191, 1.545394, 1.264048, 2.237093, 2.165751, 2.070608, 1.971607, 
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    1.126724, 1.147118, 1.169158, 1.187697, 1.210434, 1.238018, 1.267298, 
    1.293632, 1.314716, 1.319905, 1.301354, 1.268361, 1.22627, 1.171983, 
    1.111049, 1.050664, 0.9902796, 0.9299958, 0.8850067, 0.8577124, 
    0.8391652, 0.8238173, 0.8141178,
  0.8349588, 0.8405567, 0.856101, 0.88104, 0.9086787, 0.9398152, 0.9775981, 
    1.017127, 1.051354, 1.08908, 1.132601, 1.180765, 1.230731, 1.28315, 
    1.332269, 1.366244, 1.383381, 1.389329, 1.383488, 1.360203, 1.322673, 
    1.269399, 1.196928, 1.118761, 1.047793, 0.9820754, 0.91431, 0.8480932, 
    0.7976772, 0.7602081, 0.7339348, 0.724405, 0.7332684, 0.7547256, 
    0.7885259, 0.8305188, 0.8710088, 0.9062416, 0.9395779, 0.9738673, 
    1.00796, 1.042755, 1.079852, 1.108848, 1.130944, 1.155492, 1.180936, 
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    0.7946746, 1.396988, 1.377537, 1.355984, 1.33653, 1.323929, 1.31628, 
    1.315631, 1.326579, 1.346426, 1.368523, 1.391324, 1.414021, 1.435217, 
    1.451013, 1.46261, 1.468057, 1.466604, 1.462, 1.455997, 1.453344, 
    1.467787, 1.486984, 1.503031, 1.51133, 1.50798, 1.490985, 1.462443, 
    1.421603, 1.371263, 1.312521, 1.252377, 1.190429, 1.134377, 1.088024, 
    1.047966, 1.013506, 0.9873938, 0.9707375, 0.9656342, 0.9722369, 
    0.9905433, 1.015501, 1.046057, 1.083062, 1.120913, 1.153764, 1.181013, 
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    2.417893, 2.481872, 2.514133, 2.533437, 2.546227, 2.525346, 2.464187, 
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    1.263551, 1.215695, 1.171491, 1.137439, 1.120088, 1.119484, 1.127981, 
    1.143128, 1.16832, 1.198408, 1.226441, 1.260072, 1.30105, 1.344429, 
    1.38286, 1.414994, 1.42873, 1.409782, 1.37159, 1.321854, 1.25737, 
    1.184688, 1.113155, 1.041971, 0.9706367, 0.9174493, 0.8867036, 0.8661069, 
    0.8493588, 0.8389602,
  0.8654496, 0.8727964, 0.8927888, 0.9248285, 0.9601668, 1.000403, 1.049785, 
    1.103863, 1.15334, 1.208063, 1.27238, 1.344943, 1.417459, 1.491375, 
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    0.854153, 0.793741, 0.7481722, 0.7241954, 0.7232615, 0.7391211, 0.771874, 
    0.8177196, 0.8647599, 0.9103961, 0.9547267, 0.9954181, 1.033463, 
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    1.326948, 1.315395, 1.307745, 1.307094, 1.319092, 1.340392, 1.361995, 
    1.384297, 1.407598, 1.430647, 1.448245, 1.461643, 1.468641, 1.469537, 
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    1.274236, 1.285485, 1.283785, 1.208045, 0.4386058, 0.2861232, 0.5352597, 
    0.4893005, 0.3314841, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.666674, 2.468207, 
    2.548778, 2.573689, 2.592288, 2.612824, 2.583979, 2.49198, 2.395051, 
    2.323497, 2.239353, 2.146521, 2.047018, 1.953714, 1.86621, 1.790755, 
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    0.639197, 0.9006132, 1.0178, 1.10319, 1.254177, 1.212565, 1.173752, 
    1.142995, 1.127141, 1.128588, 1.139235, 1.155834, 1.186575, 1.226907, 
    1.267685, 1.315461, 1.372485, 1.431211, 1.48259, 1.526272, 1.548061, 
    1.527764, 1.482078, 1.422046, 1.344967, 1.260335, 1.177402, 1.09517, 
    1.013784, 0.9538414, 0.9209435, 0.8985456, 0.8803481, 0.8689496,
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    1.197096, 1.262072, 1.334394, 1.42006, 1.516623, 1.611686, 1.707452, 
    1.799668, 1.86724, 1.901577, 1.910025, 1.893383, 1.849199, 1.78387, 
    1.698946, 1.588675, 1.468855, 1.355988, 1.248369, 1.135554, 1.021491, 
    0.9241288, 0.8393665, 0.7738473, 0.7343724, 0.7219921, 0.7309539, 
    0.7606606, 0.8085588, 0.8617492, 0.9156374, 0.9701753, 1.015021, 1.05497, 
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    1.320688, 1.314484, 1.31528, 1.329076, 1.351723, 1.372721, 1.393723, 
    1.416125, 1.439276, 1.457476, 1.471476, 1.479675, 1.482323, 1.481719, 
    1.480765, 1.482262, 1.50046, 1.52296, 1.540211, 1.547165, 1.53962, 
    1.515476, 1.475935, 1.422145, 1.359257, 1.288767, 1.220023, 1.154227, 
    1.099576, 1.058773, 1.028116, 1.007556, 0.996194, 0.9909841, 0.9917277, 
    0.9992248, 1.012026, 1.029981, 1.053187, 1.083194, 1.11585, 1.145254, 
    1.171856, 1.193756, 1.211554, 1.228002, 1.243049, 1.260745, 1.281043, 
    1.293241, 1.29179, 1.277243, 0.8809466, 0.2879098, 0.9021459, 0.9901727, 
    0.8273836, 0.5126197, 0.5453656, 0.5246814, 0, 0, 0, 0, 0, 0, 1.670913, 
    2.490623, 2.594629, 2.619418, 2.642106, 2.671941, 2.644033, 2.534884, 
    2.431333, 2.348922, 2.246425, 2.138752, 2.0412, 1.9492, 1.591763, 
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    1.289077, 0.6441016, 0.6439521, 0.1940828, 0, 0.2025401, 0.3375667, 
    0.8792444, 1.229699, 1.197482, 1.167767, 1.142956, 1.130549, 1.134045, 
    1.145994, 1.163543, 1.198738, 1.252015, 1.308189, 1.372411, 1.446983, 
    1.522804, 1.587832, 1.642715, 1.671205, 1.650006, 1.594572, 1.522342, 
    1.431514, 1.334135, 1.240402, 1.147717, 1.058078, 0.9942328, 0.9596858, 
    0.9363366, 0.9168881, 0.9049382,
  0.945426, 0.9559215, 0.9863627, 1.032351, 1.084137, 1.142921, 1.215901, 
    1.29733, 1.377555, 1.466878, 1.573693, 1.694104, 1.812415, 1.930029, 
    2.043893, 2.128716, 2.17205, 2.182146, 2.160105, 2.105374, 2.026097, 
    1.925472, 1.7975, 1.658183, 1.526461, 1.399293, 1.265377, 1.128264, 
    1.007601, 0.901283, 0.817461, 0.7625359, 0.7379556, 0.7382219, 0.76333, 
    0.8110825, 0.8692262, 0.9294674, 0.988316, 1.032871, 1.072224, 1.109478, 
    1.14758, 1.179932, 1.206734, 1.235985, 1.138337, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0.405003, 1.349751, 1.348083, 1.341669, 1.33656, 1.333454, 
    1.336999, 1.353943, 1.37849, 1.399193, 1.417101, 1.436609, 1.457764, 
    1.475465, 1.488967, 1.497717, 1.501765, 1.503461, 1.505505, 1.509749, 
    1.530094, 1.552693, 1.568646, 1.5735, 1.562058, 1.533466, 1.488076, 
    1.42669, 1.356601, 1.279762, 1.206072, 1.137378, 1.08223, 1.043277, 
    1.016571, 1.00256, 0.9981997, 0.998741, 1.004182, 1.013579, 1.025281, 
    1.040236, 1.059393, 1.08515, 1.113608, 1.140262, 1.164817, 1.185919, 
    1.204868, 1.223015, 1.239762, 1.259658, 1.281356, 1.294754, 0.843439, 
    0.6417532, 0.44245, 0, 0.3658992, 0.5010421, 0.6526654, 1.04968, 
    1.119218, 1.14076, 0.6458195, 0.6829969, 0.7602919, 0.8567736, 0.9691529, 
    1.077446, 2.015549, 1.373961, 1.312853, 2.007604, 2.712815, 2.751501, 
    2.726251, 2.614359, 2.502138, 1.429863, 2.256543, 2.142236, 2.051367, 
    1.079469, 0.6615681, 0, 0.6067886, 0.08668409, 0.2407891, 0.7925975, 
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    0.701436, 0.9726877, 2.606289, 2.637467, 2.468687, 0.7154872, 0, 0, 
    0.7358067, 1.378874, 1.289627, 1.25298, 1.250387, 0.8017896, 0.6115326, 
    0.4283868, 0, 0.8481064, 1.195063, 1.174044, 1.154028, 1.136466, 
    1.128857, 1.134205, 1.147003, 1.165751, 1.203298, 1.271223, 1.345192, 
    1.427909, 1.521377, 1.614699, 1.693826, 1.758262, 1.792952, 1.771602, 
    1.705321, 1.619793, 1.515017, 1.404438, 1.300156, 1.199018, 1.103774, 
    1.037577, 1.002426, 0.978826, 0.9588263, 0.9460788,
  0.9924164, 1.005014, 1.041453, 1.095288, 1.155623, 1.224705, 1.309486, 
    1.404113, 1.498789, 1.60466, 1.731877, 1.875937, 2.017398, 2.156762, 
    2.292574, 2.394843, 2.447777, 2.459774, 2.432284, 2.366402, 2.272577, 
    2.156355, 2.010785, 1.851819, 1.702947, 1.557925, 1.404756, 1.246988, 
    1.10557, 0.9816473, 0.882022, 0.8126954, 0.7754182, 0.7654363, 0.7844983, 
    0.8303522, 0.8907014, 0.9538506, 1.011606, 1.051965, 1.087973, 1.121881, 
    1.157138, 1.187492, 1.212746, 1.241148, 0.6353843, 0, 0, 0, 0, 0, 0, 0, 
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    1.361203, 1.368944, 1.389389, 1.415984, 1.435435, 1.449291, 1.463252, 
    1.480809, 1.497461, 1.51061, 1.519709, 1.524858, 1.528954, 1.534099, 
    1.542641, 1.565737, 1.588188, 1.60259, 1.604846, 1.588703, 1.554713, 
    1.502875, 1.433288, 1.355801, 1.272014, 1.192075, 1.119034, 1.062387, 
    1.024785, 1.001529, 0.9935703, 0.9955593, 1.0015, 1.011294, 1.022442, 
    1.033193, 1.044998, 1.059955, 1.080665, 1.104224, 1.127032, 1.148787, 
    1.168639, 1.188687, 1.208285, 1.22718, 1.249177, 1.272673, 1.286275, 
    0.3867082, 0, 0, 0, 0, 0, 0.1566823, 0.8093948, 1.140264, 1.23234, 
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    1.400585, 1.349733, 2.058878, 2.774729, 2.819822, 2.796266, 2.680422, 
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    1.824996, 2.106609, 1.401705, 2.638284, 2.67715, 1.897769, 0.3609262, 0, 
    0.2330528, 1.088734, 1.300888, 1.21004, 1.173536, 1.167391, 1.172801, 
    1.182453, 0.8296026, 0, 0.4168663, 1.095675, 1.142612, 1.133043, 
    1.124524, 1.121717, 1.128714, 1.141515, 1.160966, 1.199914, 1.278404, 
    1.371471, 1.473987, 1.587652, 1.697674, 1.788857, 1.860796, 1.90039, 
    1.880883, 1.807089, 1.707763, 1.588637, 1.465558, 1.352669, 1.246075, 
    1.148377, 1.081725, 1.047174, 1.023474, 1.003275, 0.9903728,
  1.043905, 1.058949, 1.101638, 1.164522, 1.234353, 1.313636, 1.409616, 
    1.516946, 1.623777, 1.743558, 1.888629, 2.054344, 2.217408, 2.377672, 
    2.534337, 2.653211, 2.715295, 2.730138, 2.698443, 2.62226, 2.514334, 
    2.381913, 2.217796, 2.040427, 1.876201, 1.717222, 1.548644, 1.373771, 
    1.216544, 1.078915, 0.9655375, 0.8828604, 0.8331307, 0.8124498, 
    0.8232167, 0.8647279, 0.9236838, 0.9854395, 1.039447, 1.074108, 1.104719, 
    1.133579, 1.164636, 1.191245, 1.213502, 0.8057462, 0.06267066, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.3892, 1.402091, 1.426782, 1.45518, 1.473433, 1.484337, 1.492895, 
    1.506103, 1.520709, 1.534606, 1.543757, 1.549955, 1.556949, 1.566738, 
    1.581076, 1.608365, 1.630913, 1.644016, 1.642822, 1.62233, 1.58244, 
    1.524001, 1.446167, 1.359037, 1.266505, 1.17922, 1.10063, 1.040888, 
    1.003788, 0.9834834, 0.979678, 0.9867713, 0.9970159, 1.009014, 1.020366, 
    1.02962, 1.038026, 1.048535, 1.063794, 1.082552, 1.101058, 1.12096, 
    1.141256, 1.163301, 1.185295, 1.206242, 1.229641, 1.253394, 1.264551, 
    0.3796664, 0, 0, 0, 0, 0, 0, 0.5440071, 1.132114, 1.232908, 1.317, 
    1.3935, 1.534766, 1.620116, 0.9739794, 1.651079, 2.376249, 2.575522, 
    2.723846, 2.776431, 1.823148, 2.728605, 2.848053, 2.056793, 0.3984529, 
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    1.828192, 1.535698, 2.686568, 1.297272, 0, 0.08365338, 1.042063, 
    1.425378, 1.224826, 1.127945, 1.095136, 1.086141, 1.081367, 1.088225, 
    0.9216664, 0.2613234, 0, 0.9849561, 1.097645, 1.099823, 1.102004, 
    1.105839, 1.113589, 1.126039, 1.146186, 1.186882, 1.269278, 1.373274, 
    1.490557, 1.621931, 1.745014, 1.844203, 1.921695, 1.964988, 1.948883, 
    1.875426, 1.771866, 1.643274, 1.511383, 1.395184, 1.28773, 1.190926, 
    1.126021, 1.092419, 1.069316, 1.049365, 1.037663,
  1.097403, 1.115947, 1.165781, 1.237914, 1.317597, 1.407077, 1.514058, 
    1.631991, 1.748524, 1.87766, 2.035842, 2.218516, 2.400683, 2.580748, 
    2.755618, 2.887996, 2.957834, 2.976576, 2.943626, 2.860384, 2.740852, 
    2.592281, 2.409016, 2.215294, 2.039213, 1.870826, 1.69209, 1.505604, 
    1.336773, 1.188242, 1.063011, 0.96878, 0.9083481, 0.8766187, 0.8767902, 
    0.909411, 0.9626758, 1.019787, 1.068349, 1.096611, 1.121222, 1.144433, 
    1.170095, 1.191505, 1.210509, 0.3657033, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.49423, 1.509936, 1.516547, 1.519958, 1.528865, 1.541716, 1.557711, 
    1.57767, 1.601259, 1.622811, 1.645077, 1.670848, 1.707226, 1.732467, 
    1.744768, 1.737832, 1.700586, 1.641097, 1.566544, 1.473684, 1.372215, 
    1.267491, 1.170462, 1.084727, 1.020286, 0.9815422, 0.9616953, 0.9592457, 
    0.9680963, 0.9792985, 0.9912007, 1.000905, 1.008058, 1.013562, 1.020118, 
    1.031323, 1.046479, 1.063328, 1.084023, 1.107714, 1.133207, 1.158302, 
    1.180251, 1.203155, 1.225507, 1.232813, 0.3696198, 0, 0, 0, 0, 0, 0, 
    0.2719922, 0.9626081, 1.227611, 1.317, 1.3935, 1.525667, 1.506885, 0, 
    1.128511, 2.375653, 2.59456, 2.762315, 2.109025, 0.4234949, 1.461135, 
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    1.014527, 1.323989, 1.136294, 1.044306, 1.020981, 1.011875, 0.9996263, 
    1.00039, 1.003651, 0.5035769, 0, 0.9167897, 1.034832, 1.04911, 1.062688, 
    1.074973, 1.085412, 1.099308, 1.121254, 1.163801, 1.247401, 1.353299, 
    1.475996, 1.615344, 1.743842, 1.846042, 1.926191, 1.973035, 1.960677, 
    1.892266, 1.794803, 1.667939, 1.537822, 1.425458, 1.322893, 1.230382, 
    1.168476, 1.136174, 1.114372, 1.095868, 1.085764,
  1.147909, 1.170301, 1.228236, 1.308523, 1.397107, 1.496191, 1.612575, 
    1.739459, 1.863797, 1.997943, 2.15905, 2.346459, 2.53482, 2.721432, 
    2.902141, 3.037403, 3.108611, 3.129061, 3.098802, 3.016838, 2.895328, 
    2.741965, 2.552801, 2.355286, 2.177523, 2.007466, 1.825613, 1.635113, 
    1.45952, 1.302831, 1.168445, 1.064513, 0.9940822, 0.9513026, 0.9393265, 
    0.9601995, 1.003671, 1.053438, 1.094902, 1.116465, 1.134728, 1.15194, 
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    1.635065, 1.693696, 1.742989, 1.78774, 1.832398, 1.881274, 1.910866, 
    1.921223, 1.896824, 1.826693, 1.733558, 1.630268, 1.512023, 1.390666, 
    1.271494, 1.163863, 1.070327, 1.000238, 0.9577965, 0.9353032, 0.9316573, 
    0.9386637, 0.9480683, 0.9585215, 0.9664242, 0.9714789, 0.9748325, 
    0.9792348, 0.9883869, 1.002635, 1.020831, 1.044275, 1.072218, 1.101959, 
    1.129804, 1.152403, 1.173556, 1.192616, 1.197817, 0.3591193, 0, 0, 0, 0, 
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    0.9337946, 1.62186, 2.373157, 2.477588, 1.398133, 0.7111874, 1.062056, 
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    0.9657995, 0.1379714, 0, 0, 0, 0, 0.2028164, 0.897375, 1.043401, 
    0.9828215, 0.9657238, 0.9525948, 0.9387499, 0.9386386, 0.9425249, 
    0.4717908, 0.3172919, 0.8998188, 0.9696605, 0.9916043, 1.014591, 
    1.033631, 1.046384, 1.062081, 1.085828, 1.129726, 1.213875, 1.321321, 
    1.44487, 1.58487, 1.71387, 1.815821, 1.895375, 1.944273, 1.937062, 
    1.874551, 1.784038, 1.665521, 1.544454, 1.440487, 1.34632, 1.2621, 
    1.204589, 1.174683, 1.154927, 1.138872, 1.131366,
  1.190427, 1.215973, 1.280164, 1.365907, 1.459404, 1.563052, 1.683851, 
    1.812461, 1.94041, 2.07571, 2.233614, 2.416672, 2.601674, 2.785274, 
    2.963225, 3.09662, 3.167912, 3.189506, 3.163848, 3.086942, 2.969886, 
    2.82133, 2.63852, 2.449303, 2.279335, 2.115319, 1.936709, 1.749097, 
    1.573292, 1.413592, 1.274694, 1.162608, 1.082327, 1.028649, 1.003376, 
    1.011054, 1.04218, 1.082401, 1.115518, 1.129833, 1.141994, 1.153803, 
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    1.772054, 1.853088, 1.92573, 1.99383, 2.055705, 2.088202, 2.094809, 
    2.054169, 1.959145, 1.832809, 1.697722, 1.550329, 1.406573, 1.274494, 
    1.157462, 1.055929, 0.9793922, 0.932302, 0.9062092, 0.8996664, 0.90407, 
    0.9110746, 0.9194793, 0.9254343, 0.9286864, 0.9310864, 0.9345378, 
    0.9434865, 0.9592327, 0.9803256, 1.007367, 1.039209, 1.072853, 1.103547, 
    1.126547, 1.144755, 1.157719, 1.160079, 0.3475753, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.6311851, 1.350003, 1.411429, 1.519069, 1.652773, 1.564374, 1.617988, 
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    0.3197513, 0.4624598, 0.604724, 0.9313787, 0.9582269, 0.9825171, 
    0.9948661, 1.012859, 1.038903, 1.0842, 1.169348, 1.278345, 1.402743, 
    1.542345, 1.66995, 1.769608, 1.846166, 1.894719, 1.892461, 1.8356, 
    1.752137, 1.642619, 1.531398, 1.437526, 1.354151, 1.281277, 1.23066, 
    1.204702, 1.187846, 1.174889, 1.170334,
  1.220951, 1.247203, 1.31206, 1.396523, 1.487735, 1.58805, 1.704618, 
    1.825888, 1.94881, 2.078035, 2.227664, 2.400796, 2.576432, 2.749974, 
    2.919258, 3.048281, 3.120287, 3.144332, 3.125812, 3.058479, 2.952689, 
    2.818537, 2.654321, 2.484958, 2.332455, 2.183461, 2.017669, 1.840737, 
    1.670819, 1.513161, 1.374357, 1.257164, 1.16808, 1.103153, 1.063882, 
    1.056962, 1.073943, 1.103515, 1.127683, 1.134847, 1.141508, 1.148169, 
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    1.215613, 1.607501, 1.585167, 1.577827, 1.584235, 1.616188, 1.696391, 
    1.831507, 1.946786, 2.048777, 2.139387, 2.210277, 2.242929, 2.244791, 
    2.196063, 2.081566, 1.923578, 1.758933, 1.584535, 1.419426, 1.276249, 
    1.150218, 1.040084, 0.9568978, 0.904559, 0.8746173, 0.8647733, 0.8669785, 
    0.8713344, 0.8770903, 0.8810433, 0.8836935, 0.8860936, 0.8902394, 
    0.9010332, 0.9196255, 0.9445671, 0.9761574, 1.012647, 1.050088, 1.083035, 
    1.106881, 1.123031, 1.130988, 1.129045, 0.7222927, 0.0549256, 0, 
    0.2517216, 0.4895001, 0.4387574, 0, 0, 0, 0.06862811, 0.6901969, 
    0.7176582, 0.7665564, 1.590729, 1.577718, 1.067673, 0.3343549, 0, 
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    0.6579826, 0.8876559, 0.9169954, 0.9302927, 0.9518853, 0.9804808, 
    1.02688, 1.114174, 1.224371, 1.348923, 1.487177, 1.610787, 1.705649, 
    1.777758, 1.824114, 1.82486, 1.774146, 1.69823, 1.598309, 1.498783, 
    1.416808, 1.346381, 1.286602, 1.245829, 1.224967, 1.211111, 1.200907, 
    1.198803,
  1.236485, 1.26134, 1.321502, 1.399566, 1.484529, 1.577196, 1.684168, 
    1.795091, 1.906367, 2.022198, 2.156532, 2.311873, 2.468517, 2.62166, 
    2.772253, 2.88923, 2.956892, 2.982888, 2.973471, 2.923532, 2.839033, 
    2.730729, 2.59881, 2.461242, 2.336529, 2.212172, 2.070912, 1.913412, 
    1.753838, 1.601972, 1.466063, 1.346815, 1.250827, 1.175148, 1.121679, 
    1.097918, 1.0997, 1.118274, 1.133343, 1.133658, 1.135517, 1.137376, 
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    2.041323, 2.171217, 2.281177, 2.354378, 2.38349, 2.377959, 2.317585, 
    2.182368, 1.997367, 1.807466, 1.608965, 1.426097, 1.272268, 1.137336, 
    1.0197, 0.9305615, 0.8733206, 0.8395281, 0.8272324, 0.8268877, 0.8288417, 
    0.8321956, 0.8346488, 0.8373484, 0.8408437, 0.8478361, 0.8621775, 
    0.8858143, 0.9158016, 0.9524405, 0.9945278, 1.03602, 1.070517, 1.095217, 
    1.11077, 1.11463, 1.107793, 1.092908, 0.578469, 0.5103903, 0.7482229, 
    0.9681628, 0.8669599, 0, 0, 0, 0, 0, 0, 0, 0.7702821, 0.9572666, 
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    0.5860284, 0.8131028, 0.8447538, 0.8592517, 0.8821538, 0.9120529, 
    0.9599479, 1.048847, 1.15915, 1.282055, 1.417014, 1.534828, 1.623692, 
    1.690155, 1.733462, 1.736407, 1.692692, 1.625522, 1.536945, 1.450467, 
    1.381588, 1.32461, 1.278482, 1.248659, 1.233249, 1.222393, 1.214388, 
    1.213637,
  1.233528, 1.256283, 1.311442, 1.382956, 1.460823, 1.545341, 1.642064, 
    1.740495, 1.838675, 1.939658, 2.056349, 2.190698, 2.326096, 2.458691, 
    2.589682, 2.692565, 2.754229, 2.781577, 2.78016, 2.747076, 2.68488, 
    2.603419, 2.503451, 2.398977, 2.304858, 2.210039, 2.097326, 1.96447, 
    1.821373, 1.680044, 1.549231, 1.429581, 1.328839, 1.243857, 1.17564, 
    1.13567, 1.12295, 1.12913, 1.134552, 1.128912, 1.127517, 1.126123, 
    1.126276, 1.130977, 1.139528, 0.3430585, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.032528, 1.586509, 1.626651, 1.742219, 1.936583, 2.103413, 2.252736, 
    2.378906, 2.450662, 2.47512, 2.464921, 2.395881, 2.246459, 2.043188, 
    1.834668, 1.617748, 1.420727, 1.257795, 1.115508, 0.9913218, 0.8973314, 
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    0.6282555, 0.6353624, 0.6442897, 0.653571, 0.6627522, 0.6703818, 
    0.6759091, 0.6807363, 0.6869659, 0.6951301, 0.706179, 0.7154499, 
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    1.19156, 1.162892, 1.131078, 1.093968, 1.049942, 1.015554, 0.9822117, 
    0.9406838, 0.7676091, 0.4458735, 0.42704, 0.4050924, 0.3826505, 
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    1.281941, 1.256027, 1.226266, 1.190857, 1.151429, 1.122702, 1.09572, 
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    0.3588953, 0.3988603, 0.4426293, 0.4881272, 0.5345638, 0.5802099,
  1.237013, 1.270622, 0.8118418, 1.327147, 1.319463, 1.305132, 1.287799, 
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    1.609044, 1.56506, 1.518528, 1.465195, 1.422417, 1.387349, 1.364295, 
    1.349135, 1.325373, 1.297411, 1.264094, 1.228426, 1.203803, 1.18128, 
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    0.714109, 0.790418, 0.8737851, 0.9606523, 1.049963, 1.13787,
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    1.183097, 1.193853, 1.203104, 1.211257, 1.217656, 1.214941, 1.209431, 
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    0.669848, 0.6692467, 0.6686453, 0.6683933, 0.6673413, 0.6664866, 
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    0.9319568, 0.9882438, 1.049391, 1.122102, 1.222545, 1.327402, 1.424879, 
    1.509411, 1.597327, 1.667298, 1.708213, 1.727773, 1.717308, 1.674218, 
    1.633886, 1.594954, 1.553619, 1.505336, 1.466512, 1.434687, 1.412925, 
    1.399166, 1.377205, 1.351388, 1.32072, 1.288247, 1.266631, 1.245733, 
    1.199559, 1.128299, 1.063745, 0.6567001, 0.09323547, 0.5531398, 
    0.7873205, 0.7165638, 0.6477708, 0.6271085, 0.6212955, 0.6196542, 
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    0.6696547, 0.6687641, 0.6652789, 0.6610402, 0.6547017, 0.6484604, 
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    0.6904491, 0.7580041, 0.8312686, 0.9087236, 0.988932, 1.068335,
  1.093442, 1.122872, 1.164156, 1.178173, 1.177028, 1.168173, 1.156821, 
    1.142973, 1.127528, 1.113483, 1.099072, 1.08581, 1.076246, 1.068437, 
    1.061734, 1.05913, 1.060985, 1.065995, 1.07517, 1.08674, 1.097303, 
    1.106812, 1.117506, 1.127938, 1.137021, 1.144359, 1.144385, 1.14136, 
    1.134182, 1.105284, 1.04881, 0.9884583, 0.9334605, 0.8802177, 0.825172, 
    0.7764843, 0.73155, 0.6922157, 0.6713507, 0.67, 0.67, 0.67, 0.67, 0.67, 
    0.67, 0.201, 0, 0, 0, 0, 0, 0.09906568, 0.3302189, 0.3302189, 0.3302189, 
    0.3302189, 0.3302189, 0.3302189, 0.3302189, 0.3302189, 0.3302189, 
    0.3302189, 0.3302189, 0.3302189, 0.3302189, 0.3302189, 0.03302189, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.03302189, 0.4321533, 0.67, 0.67, 
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    0.6688379, 0.6682393, 0.6679857, 0.6003872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.6344929, 0.6361929, 0.6370493, 0.638, 0.6385, 0.639, 0.6389, 0.6377, 
    0.6372464, 0.6388929, 0.6426421, 0.6489336, 0.657725, 0.6682615, 
    0.6821429, 0.6992722, 0.717393, 0.7348137, 0.752878, 0.7716324, 0.789736, 
    0.8095846, 0.8386225, 0.8714789, 0.9089324, 0.941151, 0.9845724, 1.0362, 
    1.091779, 1.156823, 1.246674, 1.346239, 1.438189, 1.517874, 1.602307, 
    1.668144, 1.705332, 1.722555, 1.712811, 1.674584, 1.638803, 1.604078, 
    1.567349, 1.523915, 1.488443, 1.459971, 1.440107, 1.427796, 1.407632, 
    1.385349, 1.359105, 1.32806, 1.306575, 1.283011, 1.231707, 1.153908, 
    1.081768, 0.6560426, 0.4526463, 0.4162138, 0.3965803, 0.3571251, 
    0.3200535, 0.3081358, 0.4422692, 0.5799426, 0.5838498, 0.589609, 
    0.5945176, 0.5983711, 0.597284, 0.5943897, 0.4361233, 0.2782218, 
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    0.364197, 0.67, 0.67, 0.67, 0.67, 0.6698522, 0.6692607, 0.6683143, 
    0.6657779, 0.6604878, 0.6547964, 0.64735, 0.6395135, 0.6312714, 
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    0.6707721, 0.7305248, 0.7954748, 0.8649797, 0.9369847, 1.009132,
  1.026548, 1.05178, 1.087922, 1.099491, 1.097401, 1.08831, 1.076371, 
    1.065818, 1.053071, 1.041034, 1.029453, 1.018382, 1.010964, 1.004946, 
    0.9996275, 0.9974261, 0.9984337, 1.001207, 1.007622, 1.016887, 1.026241, 
    1.034895, 1.045502, 1.056562, 1.06701, 1.076392, 1.079421, 1.080092, 
    1.076419, 1.053479, 1.006169, 0.9539003, 0.9061902, 0.8588461, 0.8095573, 
    0.7655268, 0.7250456, 0.6898198, 0.6712015, 0.67, 0.67, 0.67, 0.67, 0.67, 
    0.67, 0.4319317, 0.3299024, 0.3299024, 0.3299024, 0.3299024, 0.3299024, 
    0.4319317, 0.67, 0.67, 0.67, 0.67, 0.67, 0.67, 0.67, 0.67, 0.67, 0.67, 
    0.67, 0.67, 0.67, 0.67, 0.3639121, 0.3299024, 0.3299024, 0.3299024, 
    0.3299024, 0.3299024, 0.3299024, 0.3299024, 0.3299024, 0.3299024, 
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    30.8853, 32.89835, 33.991, 34.30218, 34.65496, 34.93773, 34.94225, 
    34.8676, 34.81932, 34.77983, 34.63017, 34.38274, 33.96137, 33.35017, 
    32.6268, 31.76144, 30.65644, 29.36868, 28.1279, 27.00259, 25.9344, 
    25.02283, 24.32091, 23.74806, 23.27502, 22.95643, 22.79179, 22.69431, 
    22.58204, 22.46762, 22.2949, 22.03639, 21.68228, 21.28066, 20.87144, 
    20.39427, 19.84767, 19.30213, 18.80997, 18.43501, 18.19826, 18.20144, 
    18.42933, 18.94246, 19.81567, 20.94329, 22.16515, 23.47462, 24.90643, 
    26.19309, 27.21499, 28.09592, 28.9069, 29.65385, 30.33811, 31.04881, 
    31.88083, 32.77804, 33.71583, 34.76013, 35.91213, 36.94184, 37.71886, 
    38.32307, 38.77229, 38.72762, 38.20386, 36.59578, 33.99545, 31.27839, 
    28.87497, 26.63637, 24.2803, 21.93761, 20.41136, 19.83281, 20.48997, 
    12.48042, 14.30937, 4.531681, 19.54388, 41.21495, 44.35648, 47.38004, 
    50.33463, 52.97093, 55.21416, 56.99969, 58.13556, 58.45742, 57.84703, 
    56.38528, 53.90047, 50.48812, 46.64191, 42.32495, 37.37228, 32.38091, 
    27.9555, 23.77372, 19.58888, 15.81849, 12.85153, 10.3987, 8.395619, 
    6.995934, 6.107366, 5.450044, 4.89735, 4.442028, 4.114209, 3.82803, 
    3.513474, 3.186294, 2.872729, 2.59593, 2.415531, 2.371652, 2.354895, 
    2.26646, 2.130647, 1.97989, 1.834799, 1.735167, 1.714429, 1.78522, 
    1.919436, 2.168378, 2.631603, 3.207174, 3.810851, 4.457581, 5.191369, 
    5.880079, 6.454473, 7.055149, 7.862063, 9.080189, 10.72617, 12.75796, 
    15.07877, 17.24402, 18.9684, 20.50939, 21.81633, 22.7651, 22.95287, 
    22.22486, 20.54525, 18.51131, 16.64701, 14.87607, 12.9193, 11.1193, 
    9.453691, 8.108909, 7.073476, 6.776927, 6.589087, 6.579645, 6.742301, 
    7.082448, 7.443129, 7.767077, 7.887882, 7.766195, 7.355649, 6.882504, 
    6.21505, 5.614683, 3.707516, 1.989155, 1.741602, 1.706916, 1.773209, 
    1.94129, 4.496911, 5.377978, 6.159242, 7.217861, 8.852977, 11.86287, 
    15.54798, 20.44449, 26.433, 32.20494, 37.04962, 41.34249, 45.06945, 
    47.12599, 47.65924, 46.81716, 43.75656, 39.53018, 34.85676, 29.70615, 
    22.6676, 8.372405, 6.432932, 4.756765, 3.427161, 3.066864, 3.212427, 
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    4.079508, 2.625733, 2.761955, 2.911658, 3.01804, 3.166835, 6.792357, 
    7.413383, 7.483673, 7.516573, 7.591986, 6.330141, 3.470179, 3.325222, 
    6.314202, 6.494854, 4.749667, 3.121091, 3.208994, 3.257817, 3.320981, 
    3.459778, 3.641491, 3.757012, 3.788518, 6.687675, 7.71832, 7.306082, 
    6.81009, 6.226577, 5.452769, 4.708681, 4.197062, 3.850533, 3.659681, 
    3.850247, 5.005508, 7.174665, 9.572083, 11.73407, 13.16391, 14.09729, 
    14.55206, 14.52255, 14.12427, 13.10515, 11.36176, 9.704095, 8.365255, 
    7.471792, 6.929628, 6.82363, 6.984656, 7.156319, 7.291705, 7.417552,
  4.926275, 4.973385, 5.032045, 5.210304, 5.45753, 5.953249, 6.929121, 
    8.431142, 10.67784, 12.94901, 15.32529, 17.87489, 20.21307, 22.52789, 
    24.75049, 26.51641, 27.55065, 27.9513, 28.39531, 28.78489, 28.95856, 
    29.03093, 29.03088, 29.0048, 28.86203, 28.6097, 28.20034, 27.63528, 
    26.97952, 26.20066, 25.21414, 24.09077, 23.01402, 22.04327, 21.12484, 
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    21.67694, 22.69464, 23.58819, 24.41513, 25.15548, 25.80064, 26.43759, 
    27.13589, 27.84174, 28.53652, 29.23862, 29.89202, 30.31775, 30.42664, 
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    20.33051, 19.04847, 17.98954, 17.21706, 17.16765, 17.9899, 20.13848, 
    23.61885, 27.00688, 19.05651, 3.416284, 19.52611, 21.04373, 22.51939, 
    44.27582, 49.17025, 51.58716, 53.64229, 55.22579, 56.05113, 55.93583, 
    54.96735, 53.01482, 50.11672, 46.67857, 42.69616, 38.01066, 33.18661, 
    28.8314, 24.6438, 20.3729, 16.45704, 13.31688, 10.67924, 8.468285, 
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    5.577456, 6.143279, 6.740267, 7.530645, 8.685916, 10.2144, 12.0783, 
    14.1863, 16.12953, 17.6565, 19.00466, 20.12337, 20.90736, 21.00972, 
    20.29102, 18.71931, 16.84186, 15.1284, 13.49435, 11.68821, 10.03569, 
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    13.5296, 17.84772, 23.17137, 28.3424, 32.71872, 36.62952, 40.06153, 
    41.9516, 42.44007, 41.7126, 38.91553, 35.02065, 30.76968, 26.13863, 
    20.78324, 15.65056, 12.08265, 9.018214, 6.606772, 5.984972, 6.286041, 
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    5.425083, 3.150608, 2.789056, 3.364935, 5.003819, 4.750907, 4.67013, 
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    6.443544, 6.032201, 5.534791, 4.858685, 4.205595, 3.759998, 3.458508, 
    3.291487, 3.462075, 4.501395, 6.430695, 8.628881, 10.67726, 12.0787, 
    13.03064, 13.5526, 13.61669, 13.23492, 12.12722, 10.29816, 8.485451, 
    6.969706, 5.874594, 5.095539, 4.738984, 4.669297, 4.732965, 4.842348, 
    4.932573,
  4.106194, 4.181144, 4.30186, 4.57992, 4.937962, 5.546629, 6.621766, 
    8.072675, 9.937121, 11.81938, 13.7605, 15.79251, 17.58532, 19.29843, 
    20.86502, 21.99754, 22.6552, 22.93273, 23.23361, 23.49067, 23.59476, 
    23.63812, 23.63812, 23.61594, 23.49047, 23.26217, 22.89375, 22.40017, 
    21.83253, 21.1582, 20.30484, 19.33472, 18.40572, 17.57083, 16.78487, 
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    14.58963, 14.57344, 14.50793, 14.3585, 14.12703, 13.85471, 13.55325, 
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    10.96577, 11.31005, 11.98461, 12.9041, 13.94437, 15.0791, 16.34823, 
    17.51704, 18.47848, 19.33429, 20.12503, 20.8183, 21.40082, 21.94649, 
    22.51056, 23.04357, 23.53594, 23.98233, 24.28435, 24.30553, 24.01554, 
    23.41491, 22.4197, 21.14271, 19.8287, 18.41685, 16.71629, 15.2229, 
    14.24948, 13.68797, 13.45315, 13.6126, 14.53194, 16.14489, 18.47322, 
    21.62322, 24.64113, 27.6815, 16.34818, 16.35749, 17.71684, 19.03135, 
    40.3105, 45.10788, 47.51966, 49.6549, 51.44579, 52.57845, 52.86953, 
    52.375, 50.98941, 48.70027, 45.79424, 42.29061, 38.05036, 33.57932, 
    29.45133, 25.38967, 21.14116, 17.1633, 13.89391, 11.10177, 8.704369, 
    6.89931, 5.685845, 4.784315, 4.089158, 3.606382, 3.288527, 3.033111, 
    2.774858, 2.510313, 2.273424, 2.080672, 1.967559, 1.970193, 2.002917, 
    1.981413, 1.918835, 1.844702, 1.777488, 1.743458, 1.771287, 1.867692, 
    1.995619, 2.191024, 2.533015, 2.974699, 3.449949, 3.975617, 4.596487, 
    5.209104, 5.74335, 6.310496, 7.045675, 8.026086, 9.339964, 10.94629, 
    12.73782, 14.33885, 15.53937, 16.55678, 17.32526, 17.81123, 17.75994, 
    16.9518, 15.5062, 13.84588, 12.35863, 10.9816, 9.495674, 8.188807, 
    7.011555, 6.134753, 5.536343, 5.335388, 5.260081, 5.327146, 5.480134, 
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    3.329185, 3.746203, 4.245642, 4.833909, 5.636262, 6.885733, 9.199823, 
    12.05029, 15.89224, 20.66136, 25.3227, 29.29912, 32.88493, 36.05901, 
    37.80164, 38.2444, 37.59882, 35.02523, 31.42406, 27.53536, 23.33789, 
    18.53828, 14.00598, 10.92093, 8.306849, 6.286031, 5.824453, 6.144157, 
    6.693949, 7.346123, 7.869782, 8.115197, 8.078582, 7.776781, 7.25, 
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    4.166346, 4.201032, 4.2511, 4.468596, 4.709834, 4.872564, 5.117913, 
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    5.407448, 5.57362, 5.856553, 6.053466, 6.123322, 6.098759, 5.965123, 
    5.697248, 5.351799, 4.926926, 4.335056, 3.761072, 3.3732, 3.113019, 
    2.974046, 3.143599, 4.039632, 5.67142, 7.642603, 9.57461, 10.96588, 
    11.96154, 12.58016, 12.75826, 12.45747, 11.4449, 9.717417, 7.927167, 
    6.392176, 5.247226, 4.398391, 3.958886, 3.815801, 3.843869, 3.954971, 
    4.064944,
  3.496432, 3.576579, 3.720319, 4.061819, 4.501698, 5.198507, 6.353171, 
    7.75685, 9.296504, 10.84945, 12.42411, 14.01322, 15.33013, 16.511, 
    17.49677, 18.06994, 18.38204, 18.52065, 18.6708, 18.79493, 18.82943, 
    18.84381, 18.84381, 18.82477, 18.71715, 18.52139, 18.20592, 17.78272, 
    17.29617, 16.71763, 15.98504, 15.15409, 14.35951, 13.64607, 12.9764, 
    12.41455, 11.9912, 11.65669, 11.40144, 11.25291, 11.20181, 11.19548, 
    11.19605, 11.19927, 11.16726, 11.07908, 10.93032, 10.74369, 10.5219, 
    10.22246, 9.857074, 9.437031, 9.019125, 8.648969, 8.338146, 8.177568, 
    8.1868, 8.441941, 8.988463, 9.753476, 10.63962, 11.61182, 12.71056, 
    13.72717, 14.57378, 15.3344, 16.03982, 16.65506, 17.15573, 17.60174, 
    18.026, 18.38819, 18.69767, 18.93706, 18.98915, 18.76773, 18.28824, 
    17.5497, 16.46767, 15.15037, 13.85153, 12.57107, 11.27059, 10.28203, 
    9.789339, 9.677933, 9.944361, 10.59252, 11.90635, 13.77769, 16.18919, 
    19.15332, 21.91995, 24.61888, 27.54635, 30.38901, 32.99773, 35.52921, 
    38.17453, 40.72223, 43.00159, 45.06734, 46.89736, 48.20106, 48.83145, 
    48.80872, 48.03067, 46.41117, 44.12043, 41.20237, 37.54497, 33.55828, 
    29.74981, 25.88373, 21.7228, 17.74717, 14.41062, 11.51595, 8.969704, 
    6.990132, 5.615282, 4.572673, 3.768626, 3.223759, 2.876608, 2.623395, 
    2.393245, 2.178677, 2.005977, 1.879811, 1.833761, 1.892518, 1.967765, 
    1.991565, 1.97651, 1.947035, 1.914959, 1.901369, 1.930554, 2.000013, 
    2.084659, 2.222451, 2.48451, 2.836337, 3.22634, 3.670608, 4.210327, 
    4.752895, 5.234436, 5.748878, 6.402583, 7.168372, 8.17026, 9.426422, 
    10.79594, 11.94162, 12.70149, 13.26496, 13.53232, 13.55566, 13.28886, 
    12.47132, 11.21597, 9.840037, 8.657349, 7.634739, 6.591101, 5.777097, 
    5.093584, 4.615977, 4.339326, 4.208506, 4.226202, 4.369127, 4.59835, 
    4.941274, 5.281213, 5.583635, 5.702835, 5.681713, 5.511495, 5.204909, 
    4.774792, 4.335592, 3.861948, 3.389716, 3.027738, 2.977864, 3.072316, 
    3.315797, 3.686422, 4.12772, 4.629037, 5.313245, 6.396513, 8.436213, 
    10.96568, 14.12244, 17.93475, 21.74193, 25.04747, 28.08034, 30.80377, 
    32.45391, 32.86946, 32.27086, 30.11792, 27.08731, 23.81806, 20.31962, 
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    3.817179, 3.828186, 3.852138, 4.028379, 4.226967, 4.354881, 4.568201, 
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    5.57389, 5.373693, 5.201006, 5.070912, 5.033158, 5.017403, 4.918464, 
    4.858223, 4.955445, 5.188477, 5.368666, 5.438662, 5.429964, 5.328129, 
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    10.4988, 11.20237, 11.49462, 11.37942, 10.67082, 9.202609, 7.568406, 
    6.082365, 4.927119, 4.043238, 3.552185, 3.353882, 3.324607, 3.383645, 
    3.464413,
  3.055863, 3.14272, 3.312847, 3.7023, 4.187909, 4.920509, 6.007408, 
    7.247939, 8.482981, 9.727094, 10.95099, 12.11311, 12.99938, 13.73527, 
    14.25729, 14.4863, 14.58154, 14.61606, 14.65345, 14.68221, 14.68221, 
    14.68221, 14.68221, 14.66632, 14.5768, 14.41348, 14.1508, 13.79799, 
    13.39252, 12.91011, 12.29846, 11.60653, 10.94553, 10.35132, 9.793124, 
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    7.802873, 7.556403, 7.251761, 6.933551, 6.617258, 6.320496, 6.147669, 
    6.111707, 6.271821, 6.656196, 7.221416, 7.906898, 8.667229, 9.535312, 
    10.33403, 11.00121, 11.60797, 12.1819, 12.68986, 13.08839, 13.42496, 
    13.70827, 13.89551, 14.02412, 14.07751, 13.94229, 13.577, 13.02784, 
    12.29562, 11.30061, 10.14721, 9.060414, 8.03787, 7.093582, 6.479794, 
    6.316404, 6.526958, 7.172414, 8.137878, 9.5619, 11.29572, 13.49113, 
    16.17683, 18.66901, 21.05568, 23.68089, 26.2624, 28.63648, 30.97299, 
    33.47754, 35.89106, 38.03505, 40.01967, 41.87139, 43.31753, 44.25799, 
    44.7095, 44.55341, 43.62436, 41.98723, 39.70361, 36.68239, 33.23716, 
    29.78704, 26.14913, 22.11578, 18.19218, 14.83823, 11.88661, 9.23225, 
    7.114152, 5.609156, 4.453512, 3.561316, 2.96384, 2.585175, 2.323468, 
    2.105776, 1.933148, 1.819446, 1.755131, 1.773423, 1.885969, 2.004031, 
    2.070993, 2.097952, 2.104732, 2.0953, 2.090011, 2.110101, 2.147674, 
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    3.605641, 3.288613, 3.075596, 2.98122, 3.005023, 3.133729, 3.396302, 
    3.770715, 4.118309, 4.421816, 4.619581, 4.717858, 4.682362, 4.533528, 
    4.29269, 3.974036, 3.62183, 3.277717, 3.03906, 3.001637, 3.086553, 
    3.305113, 3.638676, 4.037067, 4.483739, 5.079738, 6.006912, 7.534534, 
    9.442184, 11.63591, 14.22782, 16.90293, 19.29512, 21.53858, 23.5761, 
    24.95554, 25.35012, 24.8781, 23.35614, 21.12074, 18.69412, 16.10666, 
    13.24483, 10.55708, 8.415089, 6.668055, 5.39347, 5.095741, 5.381603, 
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    5.705892, 5.158322, 4.584853, 4.210699, 3.921349, 3.703712, 3.597181, 
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    4.466705, 4.756063, 4.944201, 5.130252, 5.388752, 5.514795, 5.519757, 
    5.392784, 5.203371, 5.010286, 4.849473, 4.769118, 4.701789, 4.553815, 
    4.444795, 4.484488, 4.665522, 4.827279, 4.896275, 4.876585, 4.758293, 
    4.534991, 4.250167, 3.898177, 3.393814, 2.881542, 2.465616, 2.146926, 
    1.928761, 1.859716, 2.15842, 3.124794, 4.63511, 6.365007, 7.780956, 
    8.86732, 9.640837, 10.04225, 10.12781, 9.761086, 8.638642, 7.21522, 
    5.818659, 4.678682, 3.784326, 3.26469, 3.027872, 2.956594, 2.97794, 
    3.034268,
  2.655922, 2.75078, 2.945455, 3.359657, 3.843843, 4.513149, 5.383211, 
    6.351743, 7.279632, 8.210299, 9.081107, 9.850623, 10.37528, 10.78354, 
    11.02963, 11.13371, 11.15385, 11.15385, 11.15385, 11.15385, 11.15385, 
    11.15385, 11.15385, 11.14111, 11.06943, 10.93866, 10.72851, 10.44649, 
    10.12186, 9.735339, 9.245015, 8.691862, 8.16479, 7.689457, 7.242999, 
    6.868666, 6.586345, 6.363463, 6.195981, 6.100233, 6.065612, 6.060712, 
    6.063161, 6.071161, 6.085617, 6.100783, 6.092624, 6.065115, 6.012904, 
    5.914492, 5.77931, 5.606159, 5.414683, 5.201496, 4.980101, 4.815238, 
    4.735399, 4.789734, 4.997234, 5.333626, 5.762789, 6.248913, 6.814911, 
    7.325532, 7.761696, 8.172114, 8.579147, 8.952611, 9.231571, 9.445768, 
    9.589428, 9.627686, 9.62043, 9.558342, 9.340536, 8.956006, 8.458316, 
    7.85556, 7.083447, 6.224752, 5.444358, 4.741222, 4.140781, 3.833795, 
    3.89929, 4.320809, 5.160553, 6.329234, 7.812734, 9.469013, 11.36368, 
    13.66751, 15.80363, 17.82044, 20.05882, 22.27136, 24.28777, 26.28556, 
    28.50298, 30.75073, 32.74519, 34.6384, 36.49432, 38.03822, 39.21906, 
    40.06268, 40.45514, 40.16378, 39.15335, 37.49264, 35.1046, 32.22492, 
    29.19657, 25.86544, 22.05799, 18.27862, 14.99961, 12.08446, 9.423906, 
    7.262137, 5.700315, 4.491622, 3.560901, 2.946082, 2.554791, 2.282462, 
    2.061076, 1.905292, 1.821539, 1.792039, 1.846493, 1.986271, 2.125685, 
    2.215056, 2.264886, 2.290409, 2.291023, 2.286721, 2.292818, 2.296926, 
    2.288893, 2.308111, 2.417861, 2.59923, 2.829713, 3.122518, 3.511776, 
    3.926342, 4.313985, 4.740839, 5.280422, 5.866367, 6.456178, 7.089598, 
    7.698924, 8.036263, 8.065247, 7.962789, 7.745022, 7.384826, 6.942451, 
    6.342699, 5.54356, 4.721474, 4.117718, 3.66831, 3.214536, 2.801793, 
    2.491859, 2.26204, 2.117759, 2.06512, 2.100914, 2.219931, 2.447678, 
    2.753164, 3.026875, 3.268821, 3.473472, 3.615813, 3.654363, 3.618256, 
    3.517122, 3.358216, 3.173071, 2.997699, 2.886449, 2.858601, 2.928969, 
    3.092877, 3.334286, 3.625551, 3.952836, 4.375718, 5.01652, 5.912132, 
    7.046373, 8.381762, 10.0189, 11.74716, 13.33015, 14.842, 16.24642, 
    17.21924, 17.569, 17.3062, 16.35578, 14.88351, 13.24854, 11.49158, 
    9.564728, 7.803243, 6.471509, 5.46633, 4.852799, 4.747502, 5.014185, 
    5.437956, 5.928908, 6.316948, 6.489756, 6.444237, 6.200789, 5.794596, 
    5.347721, 4.851504, 4.323794, 3.922947, 3.619997, 3.415641, 3.313104, 
    3.286649, 3.280792, 3.287182, 3.372134, 3.477831, 3.577095, 3.72967, 
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    4.994672, 4.86843, 4.715726, 4.560225, 4.445048, 4.342241, 4.209625, 
    4.119331, 4.118207, 4.214148, 4.317429, 4.353878, 4.295558, 4.129313, 
    3.871083, 3.562568, 3.193875, 2.708483, 2.221297, 1.820182, 1.499848, 
    1.289322, 1.215729, 1.377517, 2.074925, 3.356787, 4.894972, 6.233368, 
    7.32732, 8.153177, 8.645443, 8.842643, 8.733794, 7.967856, 6.800825, 
    5.585977, 4.513333, 3.61425, 3.060612, 2.779374, 2.658756, 2.631019, 
    2.649387,
  2.563801, 2.638895, 2.795184, 3.136434, 3.530214, 4.032982, 4.65395, 
    5.324928, 5.946577, 6.568577, 7.133399, 7.615254, 7.905881, 8.108013, 
    8.223662, 8.258244, 8.258244, 8.258244, 8.258244, 8.258244, 8.258244, 
    8.258244, 8.258244, 8.248654, 8.194822, 8.096949, 7.939044, 7.727913, 
    7.48447, 7.19348, 6.824389, 6.410466, 6.01707, 5.660367, 5.326042, 
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    4.441861, 4.449861, 4.465061, 4.482361, 4.499672, 4.511542, 4.509193, 
    4.480746, 4.43396, 4.372984, 4.297662, 4.201004, 4.086377, 3.969807, 
    3.89054, 3.876772, 3.929777, 4.039738, 4.194554, 4.379353, 4.60659, 
    4.810801, 4.992877, 5.177116, 5.389434, 5.615786, 5.793086, 5.926807, 
    5.999284, 5.987978, 5.945349, 5.87622, 5.699582, 5.416335, 5.071899, 
    4.677912, 4.191127, 3.656224, 3.181533, 2.754658, 2.416132, 2.302426, 
    2.477136, 2.939996, 3.77019, 4.958335, 6.41193, 8.084033, 9.858504, 
    11.81089, 13.59198, 15.20218, 16.98877, 18.72826, 20.2707, 21.8204, 
    23.56782, 25.48575, 27.26353, 28.99, 30.77232, 32.30872, 33.5936, 
    34.67705, 35.46435, 35.68176, 35.21564, 34.1306, 32.36309, 30.06898, 
    27.54279, 24.64617, 21.21667, 17.73779, 14.68099, 11.94179, 9.419137, 
    7.348039, 5.832457, 4.650649, 3.738962, 3.142118, 2.757761, 2.479746, 
    2.249513, 2.090071, 2.005369, 1.974915, 2.02896, 2.166719, 2.304695, 
    2.395435, 2.449943, 2.481566, 2.485729, 2.479013, 2.468842, 2.435595, 
    2.379306, 2.340843, 2.37768, 2.476423, 2.628485, 2.846352, 3.163688, 
    3.521685, 3.872608, 4.265895, 4.76389, 5.297944, 5.771029, 6.177601, 
    6.485139, 6.53386, 6.404134, 6.210029, 5.912477, 5.488731, 5.012341, 
    4.47533, 3.871985, 3.302171, 2.913195, 2.591096, 2.24097, 1.934482, 
    1.722672, 1.583641, 1.51722, 1.517364, 1.576749, 1.689887, 1.875817, 
    2.103279, 2.299723, 2.476929, 2.624543, 2.734304, 2.791704, 2.813819, 
    2.793333, 2.734217, 2.653425, 2.576465, 2.516762, 2.505082, 2.551379, 
    2.641296, 2.768196, 2.92287, 3.088229, 3.291945, 3.593209, 4.053424, 
    4.650324, 5.368502, 6.270815, 7.253181, 8.171143, 9.068589, 9.942619, 
    10.58515, 10.84848, 10.74698, 10.24054, 9.437453, 8.500476, 7.48317, 
    6.373394, 5.387734, 4.703835, 4.255836, 4.09831, 4.224154, 4.504923, 
    4.896, 5.327846, 5.659377, 5.807783, 5.775453, 5.56586, 5.207169, 
    4.800354, 4.354054, 3.877254, 3.463435, 3.155941, 2.943387, 2.802738, 
    2.733573, 2.702541, 2.702452, 2.725159, 2.763784, 2.834453, 2.931748, 
    3.078715, 3.298835, 3.521968, 3.748275, 3.985468, 4.179629, 4.303069, 
    4.351314, 4.306189, 4.193667, 4.039788, 3.890804, 3.752842, 3.63438, 
    3.563435, 3.531723, 3.560856, 3.615742, 3.627543, 3.56452, 3.406217, 
    3.165269, 2.877383, 2.533507, 2.116019, 1.703329, 1.369058, 1.100539, 
    0.917022, 0.844322, 0.9282278, 1.397252, 2.375501, 3.609772, 4.744617, 
    5.731962, 6.538518, 7.071878, 7.335999, 7.393143, 6.95577, 6.132045, 
    5.210401, 4.334796, 3.555278, 3.035361, 2.755902, 2.621958, 2.571008, 
    2.566358,
  2.774762, 2.808563, 2.884226, 3.101402, 3.356744, 3.673543, 4.045679, 
    4.427803, 4.780001, 5.132899, 5.463735, 5.741361, 5.880055, 5.957997, 
    5.992545, 5.995423, 5.995423, 5.995423, 5.995424, 5.995423, 5.995423, 
    5.995423, 5.995424, 5.988985, 5.953, 5.888017, 5.782762, 5.642116, 
    5.47986, 5.28476, 5.036599, 4.761852, 4.502139, 4.264423, 4.041575, 
    3.854369, 3.713573, 3.602127, 3.521036, 3.475875, 3.456053, 3.451253, 
    3.453853, 3.461853, 3.477053, 3.494, 3.513253, 3.529366, 3.541826, 
    3.550102, 3.55256, 3.545743, 3.528099, 3.495437, 3.449174, 3.395764, 
    3.354212, 3.325164, 3.302383, 3.293219, 3.307286, 3.332528, 3.375041, 
    3.419824, 3.455792, 3.4938, 3.55485, 3.637383, 3.70699, 3.759476, 
    3.769196, 3.719027, 3.644681, 3.572194, 3.460268, 3.312119, 3.15323, 
    2.974818, 2.741738, 2.469697, 2.224247, 1.987392, 1.785544, 1.728986, 
    1.890442, 2.279547, 2.992952, 4.013979, 5.273606, 6.802315, 8.574336, 
    10.36543, 11.9478, 13.29632, 14.62759, 15.8881, 16.97124, 18.07347, 
    19.31157, 20.68669, 22.04901, 23.41087, 24.90192, 26.32625, 27.59723, 
    28.77398, 29.79141, 30.34859, 30.28566, 29.67386, 28.4607, 26.7318, 
    24.72469, 22.34564, 19.43633, 16.42477, 13.75496, 11.34816, 9.113734, 
    7.260686, 5.891492, 4.812253, 3.968186, 3.409864, 3.04587, 2.77282, 
    2.53827, 2.366823, 2.267819, 2.217427, 2.237987, 2.33458, 2.436038, 
    2.503631, 2.549764, 2.581291, 2.586536, 2.572499, 2.545949, 2.492139, 
    2.412197, 2.342725, 2.324427, 2.348932, 2.429037, 2.576346, 2.827216, 
    3.134795, 3.454288, 3.821055, 4.281329, 4.762534, 5.152883, 5.418204, 
    5.517057, 5.415757, 5.227346, 4.976277, 4.615459, 4.142238, 3.644973, 
    3.142241, 2.661455, 2.283549, 2.015883, 1.772013, 1.524297, 1.335857, 
    1.235189, 1.201348, 1.231533, 1.303168, 1.396384, 1.51015, 1.662317, 
    1.824066, 1.950401, 2.058883, 2.13932, 2.199138, 2.241682, 2.265382, 
    2.266431, 2.246089, 2.211276, 2.177511, 2.152877, 2.156222, 2.182626, 
    2.232457, 2.30923, 2.397255, 2.470406, 2.544825, 2.627579, 2.781026, 
    3.002373, 3.296684, 3.685041, 4.122517, 4.546074, 4.978466, 5.421829, 
    5.77917, 5.945222, 5.934304, 5.721781, 5.359761, 4.92236, 4.443781, 
    3.932618, 3.51622, 3.292145, 3.217581, 3.330171, 3.58625, 3.894539, 
    4.243199, 4.59209, 4.845277, 4.948084, 4.909221, 4.719415, 4.403023, 
    4.033463, 3.629226, 3.202904, 2.834866, 2.553355, 2.326399, 2.140254, 
    2.01797, 1.947357, 1.925738, 1.935637, 1.962775, 2.011438, 2.093726, 
    2.249978, 2.488292, 2.734681, 2.991953, 3.268552, 3.505507, 3.67224, 
    3.76649, 3.750786, 3.624656, 3.442777, 3.261571, 3.084593, 2.927972, 
    2.823316, 2.761707, 2.766041, 2.813652, 2.838598, 2.80902, 2.703564, 
    2.52845, 2.309648, 2.040125, 1.709706, 1.386358, 1.13066, 0.9295264, 
    0.7893131, 0.7231603, 0.7695739, 1.071101, 1.764182, 2.687356, 3.562588, 
    4.340694, 5.025292, 5.519551, 5.797589, 5.930262, 5.750354, 5.257034, 
    4.647191, 4.046683, 3.50315, 3.116196, 2.908483, 2.818953, 2.785833, 
    2.779875,
  2.98574, 2.990582, 3.009359, 3.124858, 3.254018, 3.404735, 3.568208, 
    3.733028, 3.88535, 4.038372, 4.192272, 4.316802, 4.351007, 4.365405, 
    4.365405, 4.365405, 4.365405, 4.365405, 4.365405, 4.365405, 4.365405, 
    4.365405, 4.365405, 4.362267, 4.344231, 4.311895, 4.259679, 4.189124, 
    4.10831, 4.008992, 3.881765, 3.741873, 3.612213, 3.493728, 3.38237, 
    3.289046, 3.218592, 3.163137, 3.125236, 3.106032, 3.098088, 3.096057, 
    3.098657, 3.106657, 3.121857, 3.138457, 3.158207, 3.176762, 3.191619, 
    3.204376, 3.215582, 3.221994, 3.219902, 3.207663, 3.188876, 3.162836, 
    3.135692, 3.108202, 3.081101, 3.060281, 3.055378, 3.056765, 3.066467, 
    3.080566, 3.092071, 3.10221, 3.11405, 3.125447, 3.129308, 3.123746, 
    3.089247, 3.014225, 2.926311, 2.847796, 2.770418, 2.703101, 2.654338, 
    2.598237, 2.501001, 2.357626, 2.211096, 2.042803, 1.851587, 1.747012, 
    1.802154, 2.038815, 2.555413, 3.335975, 4.340987, 5.600412, 7.192434, 
    8.81149, 10.20963, 11.36027, 12.35221, 13.25827, 14.0087, 14.74082, 
    15.53374, 16.38064, 17.2523, 18.17732, 19.27551, 20.49901, 21.66851, 
    22.82009, 23.92328, 24.68678, 24.91208, 24.66865, 23.91358, 22.69487, 
    21.17103, 19.31098, 16.97422, 14.51184, 12.31834, 10.335, 8.482449, 
    6.932853, 5.783005, 4.868865, 4.141408, 3.65378, 3.33318, 3.08566, 
    2.868028, 2.695817, 2.584684, 2.507787, 2.478169, 2.504426, 2.541206, 
    2.562282, 2.57577, 2.583627, 2.575136, 2.548132, 2.508741, 2.449865, 
    2.371769, 2.296098, 2.242997, 2.215871, 2.244648, 2.344849, 2.55433, 
    2.838681, 3.150529, 3.510663, 3.942535, 4.372364, 4.690803, 4.862515, 
    4.84261, 4.666931, 4.41887, 4.109225, 3.688868, 3.18381, 2.687176, 
    2.222526, 1.832001, 1.57588, 1.391135, 1.233368, 1.0933, 1.024644, 
    1.033343, 1.100455, 1.225196, 1.362431, 1.487744, 1.609836, 1.743235, 
    1.857949, 1.934206, 1.992615, 2.024329, 2.042462, 2.056969, 2.065914, 
    2.067065, 2.061563, 2.050042, 2.040631, 2.037467, 2.046108, 2.067014, 
    2.105047, 2.165809, 2.230465, 2.265843, 2.272436, 2.229278, 2.198408, 
    2.198072, 2.224542, 2.274511, 2.340977, 2.418644, 2.521897, 2.661058, 
    2.81053, 2.895148, 2.914284, 2.8753, 2.793981, 2.684582, 2.563018, 
    2.446357, 2.40187, 2.469436, 2.618707, 2.882453, 3.188437, 3.479229, 
    3.762203, 4.019311, 4.191196, 4.236832, 4.164608, 3.970736, 3.677293, 
    3.344111, 2.978774, 2.597315, 2.268631, 2.008995, 1.791668, 1.603144, 
    1.468035, 1.380072, 1.338647, 1.338375, 1.364227, 1.418303, 1.511945, 
    1.684056, 1.942082, 2.213572, 2.503986, 2.822334, 3.100372, 3.300326, 
    3.416937, 3.404113, 3.264397, 3.059463, 2.846442, 2.625509, 2.421042, 
    2.272237, 2.166484, 2.127443, 2.158666, 2.186996, 2.180742, 2.119867, 
    2.003702, 1.849062, 1.652807, 1.411763, 1.179662, 1.000406, 0.866268, 
    0.7772461, 0.7350172, 0.7729403, 0.9782714, 1.460128, 2.111411, 2.744297, 
    3.318486, 3.843147, 4.250721, 4.508943, 4.674205, 4.656275, 4.415855, 
    4.07623, 3.726075, 3.406657, 3.178342, 3.058583, 3.017058, 3.001704, 
    2.994252,
  3.081939, 3.077735, 3.074303, 3.103157, 3.133164, 3.16457, 3.199961, 
    3.236201, 3.270411, 3.304969, 3.341911, 3.369912, 3.369212, 3.369212, 
    3.368759, 3.368709, 3.368709, 3.368709, 3.368709, 3.368709, 3.368709, 
    3.368709, 3.368709, 3.367964, 3.363494, 3.355548, 3.342586, 3.324856, 
    3.304891, 3.279016, 3.245741, 3.208592, 3.175267, 3.145767, 3.118154, 
    3.094762, 3.077181, 3.063424, 3.05513, 3.052349, 3.052349, 3.053049, 
    3.055598, 3.063297, 3.078597, 3.09565, 3.115803, 3.135707, 3.152362, 
    3.16727, 3.180729, 3.190591, 3.191151, 3.182263, 3.167326, 3.144438, 
    3.119446, 3.094454, 3.06811, 3.045215, 3.03196, 3.023252, 3.017643, 
    3.016034, 3.019926, 3.027318, 3.036912, 3.046352, 3.051399, 3.051199, 
    3.036032, 2.998162, 2.952114, 2.908519, 2.866137, 2.837065, 2.827598, 
    2.81394, 2.763798, 2.657578, 2.532857, 2.367823, 2.141143, 1.955812, 
    1.886416, 1.950876, 2.252002, 2.782576, 3.527682, 4.515645, 5.807515, 
    7.146134, 8.295986, 9.222041, 9.990009, 10.65867, 11.18414, 11.65275, 
    12.09638, 12.54384, 13.01382, 13.53474, 14.23182, 15.16756, 16.14333, 
    17.17077, 18.24307, 19.10656, 19.54489, 19.60662, 19.24946, 18.48378, 
    17.40744, 16.03267, 14.23785, 12.31698, 10.59462, 9.034155, 7.577824, 
    6.361804, 5.455019, 4.727235, 4.143577, 3.750603, 3.489661, 3.285729, 
    3.106423, 2.958499, 2.856692, 2.777971, 2.729455, 2.71139, 2.69434, 
    2.674179, 2.650233, 2.624343, 2.590963, 2.542874, 2.480812, 2.399688, 
    2.31509, 2.237901, 2.16582, 2.116592, 2.124017, 2.206341, 2.401108, 
    2.683696, 3.007228, 3.373437, 3.779136, 4.151263, 4.39466, 4.475976, 
    4.371904, 4.121622, 3.806672, 3.433632, 2.962036, 2.44909, 1.979457, 
    1.5796, 1.298524, 1.14404, 1.051264, 0.9875264, 0.9522126, 0.9883379, 
    1.086001, 1.231226, 1.414742, 1.582621, 1.724373, 1.852473, 1.978573, 
    2.07337, 2.126602, 2.161982, 2.172267, 2.173767, 2.17532, 2.180396, 
    2.190806, 2.200563, 2.208014, 2.219671, 2.237328, 2.25807, 2.282186, 
    2.320302, 2.373638, 2.427256, 2.447374, 2.424425, 2.323785, 2.19704, 
    2.071007, 1.93859, 1.781592, 1.613961, 1.465485, 1.348161, 1.270408, 
    1.254751, 1.256013, 1.272914, 1.330314, 1.41624, 1.501232, 1.590805, 
    1.707932, 1.883841, 2.116113, 2.385725, 2.703507, 2.99523, 3.230811, 
    3.439074, 3.611886, 3.709087, 3.70526, 3.605947, 3.41237, 3.143681, 
    2.850485, 2.537027, 2.212728, 1.933148, 1.708422, 1.515869, 1.34033, 
    1.206246, 1.115842, 1.069181, 1.065227, 1.092635, 1.153859, 1.258139, 
    1.445282, 1.722186, 2.016553, 2.333673, 2.68314, 2.991462, 3.214567, 
    3.345958, 3.328752, 3.172202, 2.945487, 2.700538, 2.432297, 2.171627, 
    1.966899, 1.803104, 1.703732, 1.703848, 1.720036, 1.718423, 1.681866, 
    1.605053, 1.497771, 1.360431, 1.1957, 1.041586, 0.9258286, 0.8496141, 
    0.8127432, 0.8098407, 0.8609065, 1.019955, 1.36264, 1.81685, 2.262375, 
    2.669436, 3.048677, 3.361001, 3.58696, 3.758442, 3.826266, 3.749012, 
    3.597988, 3.431912, 3.283911, 3.182148, 3.129923, 3.112566, 3.103866, 
    3.094203,
  3.067464, 3.061508, 3.050992, 3.041479, 3.033919, 3.027759, 3.022997, 
    3.019791, 3.017635, 3.015479, 3.013424, 3.011923, 3.01087, 3.010518, 
    3.009467, 3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 
    3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 
    3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 
    3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 3.009367, 3.010067, 
    3.012165, 3.019665, 3.034612, 3.052012, 3.072814, 3.093515, 3.111871, 
    3.128826, 3.144783, 3.157843, 3.161906, 3.156869, 3.145832, 3.126846, 
    3.105461, 3.083372, 3.059684, 3.039093, 3.024742, 3.014238, 3.006634, 
    3.002626, 3.004471, 3.009463, 3.016452, 3.023446, 3.027442, 3.027594, 
    3.021471, 3.007197, 2.991394, 2.978743, 2.972262, 2.981687, 3.011615, 
    3.040856, 3.039217, 2.972649, 2.87238, 2.715015, 2.476917, 2.23608, 
    2.059718, 1.956653, 2.045879, 2.325551, 2.81662, 3.538653, 4.548572, 
    5.630962, 6.572889, 7.338529, 7.937694, 8.449593, 8.83409, 9.119766, 
    9.303158, 9.422834, 9.540472, 9.680831, 9.97197, 10.55752, 11.25613, 
    12.06516, 13.00544, 13.8683, 14.43261, 14.72638, 14.7129, 14.35542, 
    13.69934, 12.76995, 11.48534, 10.07115, 8.784945, 7.620775, 6.540035, 
    5.640948, 4.967021, 4.42669, 3.998673, 3.710386, 3.518281, 3.371992, 
    3.243531, 3.138387, 3.06795, 3.014286, 2.981606, 2.961907, 2.920644, 
    2.871614, 2.818618, 2.76422, 2.705031, 2.62974, 2.534735, 2.416413, 
    2.306345, 2.221184, 2.14076, 2.083837, 2.08321, 2.15713, 2.340135, 
    2.616457, 2.940832, 3.299123, 3.671605, 3.986499, 4.168595, 4.188318, 
    4.023084, 3.714833, 3.346781, 2.925903, 2.423847, 1.921965, 1.499607, 
    1.173198, 0.9857447, 0.9257035, 0.9218674, 0.9449791, 1.001802, 1.122486, 
    1.281028, 1.467479, 1.670041, 1.842744, 1.984844, 2.112944, 2.239044, 
    2.333244, 2.383844, 2.416596, 2.425702, 2.432235, 2.443696, 2.463214, 
    2.493836, 2.522152, 2.545455, 2.572953, 2.605897, 2.638735, 2.666342, 
    2.704427, 2.755224, 2.805633, 2.824355, 2.799339, 2.692686, 2.543979, 
    2.378998, 2.189832, 1.950677, 1.681275, 1.427194, 1.19968, 0.9961454, 
    0.8668963, 0.7933396, 0.7779282, 0.8451008, 0.9731147, 1.116671, 
    1.273202, 1.470466, 1.728963, 2.013697, 2.309567, 2.606905, 2.850517, 
    3.025082, 3.171309, 3.28425, 3.333783, 3.305848, 3.206961, 3.042023, 
    2.826057, 2.593299, 2.348306, 2.094519, 1.875447, 1.696221, 1.537949, 
    1.384935, 1.258319, 1.169231, 1.118616, 1.107373, 1.128626, 1.187337, 
    1.292262, 1.478667, 1.755666, 2.05292, 2.372218, 2.724422, 3.040655, 
    3.273062, 3.408499, 3.384864, 3.218549, 2.979733, 2.716408, 2.418301, 
    2.119618, 1.869697, 1.652992, 1.49578, 1.451473, 1.442118, 1.427194, 
    1.392112, 1.331283, 1.251347, 1.154656, 1.048373, 0.9596189, 0.9020097, 
    0.8797302, 0.8939886, 0.9346787, 1.009569, 1.142397, 1.394311, 1.716676, 
    2.036367, 2.328794, 2.601948, 2.837264, 3.025051, 3.18419, 3.297567, 
    3.313741, 3.273602, 3.214187, 3.163083, 3.131464, 3.115229, 3.106645, 
    3.09724, 3.084331,
  3.060491, 3.052082, 3.037472, 3.023607, 3.012696, 3.003536, 2.995126, 
    2.989214, 2.984906, 2.980951, 2.977447, 2.974791, 2.972888, 2.971685, 
    2.970485, 2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 
    2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 
    2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 
    2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 2.970385, 2.970732, 
    2.972231, 2.979378, 2.993627, 3.010323, 3.03082, 3.051669, 3.070869, 
    3.089021, 3.107279, 3.123237, 3.131149, 3.130664, 3.124382, 3.110551, 
    3.094217, 3.076484, 3.057149, 3.039911, 3.026267, 3.015067, 3.006163, 
    3.00071, 3.000503, 3.003448, 3.007641, 3.012886, 3.015481, 3.015981, 
    3.014434, 3.012035, 3.011739, 3.015647, 3.02961, 3.06289, 3.118326, 
    3.185376, 3.234437, 3.213243, 3.141592, 3.005189, 2.784696, 2.531903, 
    2.292257, 2.062915, 1.958356, 1.711785, 1.236993, 1.529608, 1.964183, 
    2.440198, 4.039661, 5.702098, 6.16587, 6.561783, 6.848513, 7.014825, 
    7.023919, 6.91307, 6.772635, 6.640537, 6.637774, 6.902826, 7.324056, 
    7.895869, 8.650104, 9.431938, 10.0311, 10.46715, 10.715, 10.68889, 
    10.38582, 9.832258, 8.982333, 8.008878, 7.108388, 6.29811, 5.544634, 
    4.921476, 4.458495, 4.095857, 3.820395, 3.644294, 3.529792, 3.449903, 
    3.381544, 3.326657, 3.29172, 3.265156, 3.254375, 3.250676, 3.209941, 
    3.141497, 3.058654, 2.973104, 2.885865, 2.781823, 2.651957, 2.493877, 
    2.345653, 2.233142, 2.140841, 2.075562, 2.06568, 2.129294, 2.29664, 
    2.556313, 2.860663, 3.190192, 3.522203, 3.793683, 3.938699, 3.929038, 
    3.739867, 3.411839, 3.029696, 2.604541, 2.119852, 1.663771, 1.304379, 
    1.045064, 0.9237896, 0.9249727, 0.9804891, 1.061901, 1.178764, 1.346683, 
    1.530304, 1.725107, 1.929507, 2.102556, 2.244304, 2.372404, 2.498504, 
    2.592704, 2.643555, 2.67902, 2.699988, 2.72472, 2.758047, 2.800122, 
    2.854299, 2.903767, 2.944324, 2.98662, 3.030194, 3.063309, 3.086324, 
    3.117043, 3.163972, 3.21547, 3.239784, 3.224563, 3.132206, 2.995589, 
    2.834648, 2.655575, 2.421207, 2.147326, 1.881176, 1.633557, 1.394762, 
    1.215238, 1.094794, 1.035224, 1.048109, 1.127288, 1.230279, 1.35007, 
    1.511735, 1.73784, 1.989652, 2.249203, 2.495088, 2.682066, 2.804268, 
    2.902687, 2.974181, 2.997882, 2.968757, 2.894902, 2.78177, 2.634674, 
    2.472934, 2.303154, 2.125476, 1.972469, 1.843967, 1.72524, 1.600483, 
    1.48824, 1.407531, 1.357247, 1.339498, 1.353498, 1.406549, 1.50931, 
    1.685992, 1.946187, 2.226676, 2.526052, 2.857618, 3.159899, 3.383638, 
    3.509743, 3.473246, 3.303741, 3.064805, 2.798561, 2.48834, 2.172111, 
    1.897473, 1.651891, 1.462646, 1.386449, 1.354811, 1.324938, 1.28041, 
    1.224219, 1.158295, 1.086445, 1.016712, 0.9700367, 0.95356, 0.968931, 
    1.018851, 1.095289, 1.192592, 1.313638, 1.501164, 1.73604, 1.976494, 
    2.19736, 2.408359, 2.596844, 2.755722, 2.898178, 3.032989, 3.108946, 
    3.132241, 3.128563, 3.123159, 3.119609, 3.115773, 3.109473, 3.098216, 
    3.082608,
  3.064533, 3.053325, 3.034057, 3.016097, 3.001234, 2.988471, 2.976158, 
    2.966496, 2.959185, 2.952927, 2.947469, 2.943014, 2.93991, 2.937858, 
    2.936004, 2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 
    2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 
    2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 
    2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 2.935401, 
    2.936651, 2.942596, 2.955389, 2.970282, 2.989377, 3.009674, 3.028622, 
    3.047223, 3.067327, 3.085984, 3.097646, 3.102312, 3.102384, 3.095054, 
    3.084724, 3.072642, 3.059062, 3.046177, 3.035036, 3.024591, 3.015645, 
    3.009291, 3.007288, 3.008432, 3.011079, 3.01397, 3.015518, 3.016018, 
    3.014918, 3.012869, 3.013772, 3.019576, 3.038946, 3.082278, 3.150369, 
    3.241568, 3.339657, 3.370117, 3.33157, 3.228276, 3.04555, 2.819354, 
    2.576476, 2.292176, 1.084975, 0.6474382, 0, 0, 1.177379, 1.565797, 
    2.971706, 4.459719, 4.790787, 5.059196, 5.255463, 5.348248, 5.268303, 
    5.047269, 4.775842, 4.4921, 4.310308, 4.368028, 4.594649, 4.981549, 
    5.55918, 6.21724, 6.779402, 7.261593, 7.650268, 7.831808, 7.766588, 
    7.482009, 6.948428, 6.307831, 5.709024, 5.177012, 4.686051, 4.293825, 
    4.012772, 3.801639, 3.661279, 3.591883, 3.557375, 3.545933, 3.540023, 
    3.536323, 3.536275, 3.535496, 3.543996, 3.55247, 3.515428, 3.431074, 
    3.318033, 3.20089, 3.084349, 2.947139, 2.775399, 2.573814, 2.384587, 
    2.234921, 2.124712, 2.046513, 2.021302, 2.065369, 2.206313, 2.430574, 
    2.696842, 2.987627, 3.277004, 3.514265, 3.638219, 3.620831, 3.442063, 
    3.145429, 2.808444, 2.434007, 2.012028, 1.628352, 1.333037, 1.130449, 
    1.058325, 1.095664, 1.176454, 1.279979, 1.418753, 1.600318, 1.788275, 
    1.983575, 2.187975, 2.360875, 2.502275, 2.630375, 2.756475, 2.850826, 
    2.912589, 2.975137, 3.033445, 3.093226, 3.154621, 3.222302, 3.301981, 
    3.374705, 3.434164, 3.477426, 3.505108, 3.514097, 3.518067, 3.535014, 
    3.572829, 3.621716, 3.649222, 3.642093, 3.563483, 3.4433, 3.298438, 
    3.146225, 2.940518, 2.691501, 2.443259, 2.20725, 1.971765, 1.775837, 
    1.622933, 1.517222, 1.462573, 1.470911, 1.507161, 1.55986, 1.646536, 
    1.792742, 1.975509, 2.17791, 2.366223, 2.498258, 2.57533, 2.635628, 
    2.678406, 2.691942, 2.67645, 2.636864, 2.577526, 2.494765, 2.398859, 
    2.296652, 2.18589, 2.088791, 2.003005, 1.917889, 1.820362, 1.72682, 
    1.658505, 1.613622, 1.596475, 1.610475, 1.663775, 1.767823, 1.940365, 
    2.181453, 2.437364, 2.707258, 3.001515, 3.272093, 3.472914, 3.584872, 
    3.537803, 3.367906, 3.135632, 2.878532, 2.578059, 2.272551, 2.002666, 
    1.756191, 1.558231, 1.469452, 1.427878, 1.394378, 1.345881, 1.292137, 
    1.232399, 1.171266, 1.116592, 1.087576, 1.090019, 1.124667, 1.193513, 
    1.286277, 1.391122, 1.509962, 1.659652, 1.845925, 2.04089, 2.217652, 
    2.387349, 2.542912, 2.681309, 2.809918, 2.941589, 3.044751, 3.094018, 
    3.112132, 3.124195, 3.129853, 3.129309, 3.122808, 3.109704, 3.091395,
  3.081567, 3.06791, 3.043649, 3.021082, 3.00202, 2.984706, 2.968144, 
    2.954281, 2.943974, 2.935067, 2.92706, 2.920603, 2.915948, 2.913045, 
    2.910545, 2.909445, 2.909445, 2.909445, 2.909445, 2.909445, 2.909445, 
    2.909445, 2.909445, 2.909294, 2.908942, 2.908942, 2.908489, 2.908288, 
    2.907685, 2.907081, 2.906478, 2.906276, 2.905673, 2.905422, 2.904969, 
    2.904919, 2.904919, 2.904919, 2.904919, 2.904919, 2.90517, 2.905422, 
    2.906571, 2.911168, 2.921913, 2.934758, 2.951952, 2.970897, 2.988893, 
    3.007241, 3.02794, 3.048896, 3.064659, 3.074473, 3.081342, 3.080862, 
    3.077483, 3.072004, 3.064973, 3.057087, 3.049298, 3.041508, 3.033661, 
    3.027667, 3.025067, 3.024915, 3.026058, 3.027207, 3.028055, 3.028203, 
    3.02655, 3.024901, 3.026301, 3.03436, 3.060229, 3.114461, 3.196402, 
    3.304603, 3.438677, 3.521929, 3.519036, 3.453151, 3.314235, 3.129323, 
    2.918036, 2.638813, 0.2564129, 0, 0, 0.752281, 2.37726, 2.958763, 
    3.346376, 3.617082, 3.79285, 3.909396, 4.013937, 4.06264, 3.971011, 
    3.763719, 3.50662, 3.235221, 3.040523, 3.038187, 3.18041, 3.458311, 
    3.901735, 4.423925, 4.895633, 5.326094, 5.714126, 5.96048, 6.002693, 
    5.864444, 5.52347, 5.088841, 4.683897, 4.33389, 4.026642, 3.805231, 
    3.668438, 3.586585, 3.565047, 3.591861, 3.633821, 3.686241, 3.736483, 
    3.777145, 3.806317, 3.824608, 3.843571, 3.855719, 3.816348, 3.712537, 
    3.568244, 3.411203, 3.25466, 3.076428, 2.858898, 2.613575, 2.384667, 
    2.199524, 2.069868, 1.975873, 1.936702, 1.95805, 2.063597, 2.242166, 
    2.462528, 2.708781, 2.954496, 3.164274, 3.279669, 3.27508, 3.134623, 
    2.900725, 2.63654, 2.336666, 1.995069, 1.688248, 1.452414, 1.297384, 
    1.260265, 1.32031, 1.411935, 1.523155, 1.669124, 1.85604, 2.045995, 
    2.232394, 2.419796, 2.57585, 2.70166, 2.81417, 2.923021, 3.007412, 
    3.090474, 3.190348, 3.302206, 3.411164, 3.509235, 3.607986, 3.716729, 
    3.815358, 3.884005, 3.903554, 3.88847, 3.855484, 3.827778, 3.821445, 
    3.842984, 3.887873, 3.929952, 3.944054, 3.896444, 3.817216, 3.717542, 
    3.61052, 3.453562, 3.249492, 3.031711, 2.810709, 2.580023, 2.37399, 
    2.185384, 2.028242, 1.910669, 1.849421, 1.818926, 1.804884, 1.815812, 
    1.880374, 1.985298, 2.12035, 2.244257, 2.320996, 2.35864, 2.389318, 
    2.415792, 2.433529, 2.441409, 2.440574, 2.434073, 2.410836, 2.37198, 
    2.322952, 2.261808, 2.200219, 2.141315, 2.079972, 2.00639, 1.933001, 
    1.87905, 1.844695, 1.836343, 1.858691, 1.917975, 2.024843, 2.194786, 
    2.412762, 2.635053, 2.864672, 3.11068, 3.336037, 3.504275, 3.599417, 
    3.542428, 3.369659, 3.149202, 2.91373, 2.643178, 2.370328, 2.126064, 
    1.89508, 1.697089, 1.603439, 1.558139, 1.52474, 1.477947, 1.427058, 
    1.371671, 1.316641, 1.271219, 1.254055, 1.270293, 1.319079, 1.399854, 
    1.495306, 1.597848, 1.712633, 1.84841, 2.009187, 2.176408, 2.323321, 
    2.460733, 2.589964, 2.71187, 2.827484, 2.948299, 3.049979, 3.104292, 
    3.127457, 3.144172, 3.153486, 3.15459, 3.148342, 3.13414, 3.113031,
  3.1111, 3.095345, 3.066682, 3.039422, 3.015807, 2.993945, 2.972731, 
    2.954922, 2.941511, 2.929852, 2.919145, 2.910841, 2.904737, 2.900734, 
    2.898083, 2.896983, 2.896983, 2.896983, 2.896983, 2.896983, 2.896983, 
    2.896983, 2.896933, 2.896331, 2.895732, 2.895128, 2.893524, 2.892169, 
    2.890466, 2.888412, 2.886457, 2.884499, 2.882695, 2.881592, 2.880038, 
    2.879285, 2.878933, 2.878933, 2.878983, 2.879586, 2.88069, 2.881793, 
    2.883547, 2.887748, 2.896693, 2.907737, 2.923033, 2.940479, 2.957176, 
    2.974573, 2.995022, 3.017173, 3.03643, 3.051144, 3.063959, 3.07068, 
    3.074249, 3.075365, 3.075336, 3.072802, 3.069316, 3.065126, 3.059686, 
    3.05534, 3.053092, 3.052592, 3.052642, 3.053089, 3.053338, 3.052886, 
    3.051089, 3.049438, 3.051341, 3.062348, 3.094616, 3.1606, 3.257696, 
    3.383494, 3.543468, 3.682734, 3.726391, 3.70352, 3.618441, 3.490476, 
    3.332815, 1.934577, 0.1371298, 0, 0, 0.7437729, 2.381272, 2.825506, 
    3.057707, 3.177591, 3.210356, 3.194303, 2.475879, 1.75022, 3.026349, 
    3.045056, 2.885559, 2.729261, 2.634325, 2.659467, 2.772478, 2.9753, 
    3.295225, 3.660595, 3.987165, 4.288575, 4.563252, 4.753837, 4.813275, 
    4.747237, 4.525187, 4.225134, 3.955699, 3.73806, 3.565726, 3.471813, 
    3.448805, 3.475829, 3.551872, 3.659922, 3.764922, 3.867086, 3.960893, 
    4.035072, 4.086276, 4.116101, 4.136647, 4.143822, 4.093229, 3.965253, 
    3.779813, 3.570406, 3.364972, 3.142401, 2.882339, 2.597235, 2.33455, 
    2.121937, 1.974944, 1.874098, 1.829187, 1.833241, 1.905001, 2.03928, 
    2.213305, 2.412181, 2.615021, 2.799098, 2.915509, 2.936794, 2.849302, 
    2.686202, 2.495405, 2.272768, 2.015546, 1.784699, 1.606712, 1.490966, 
    1.478576, 1.551756, 1.650924, 1.768641, 1.921059, 2.109502, 2.286877, 
    2.449896, 2.603703, 2.726561, 2.821525, 2.902838, 2.978096, 3.043697, 
    3.157156, 3.301483, 3.474321, 3.641242, 3.784829, 3.922097, 4.065049, 
    4.192031, 4.260383, 4.24252, 4.177973, 4.094271, 4.026098, 3.986643, 
    3.98266, 4.016508, 4.07412, 4.120602, 4.11998, 4.09909, 4.059154, 
    4.012921, 3.920597, 3.776207, 3.601533, 3.39914, 3.169785, 2.946923, 
    2.721419, 2.516891, 2.343094, 2.219587, 2.1311, 2.060822, 2.011851, 
    2.016294, 2.069673, 2.162628, 2.247746, 2.292121, 2.309056, 2.324239, 
    2.342468, 2.363048, 2.38148, 2.397113, 2.414251, 2.417795, 2.404953, 
    2.379869, 2.340791, 2.294215, 2.247539, 2.200162, 2.146408, 2.094268, 
    2.057718, 2.039364, 2.047208, 2.085199, 2.157388, 2.270857, 2.433574, 
    2.621327, 2.804162, 2.989089, 3.185045, 3.360958, 3.487885, 3.558504, 
    3.492994, 3.32529, 3.124911, 2.917543, 2.68124, 2.443891, 2.231033, 
    2.02692, 1.837308, 1.743608, 1.698659, 1.665962, 1.621117, 1.573977, 
    1.522687, 1.472797, 1.434912, 1.428236, 1.455511, 1.514986, 1.602349, 
    1.697646, 1.797539, 1.908632, 2.038019, 2.180386, 2.321667, 2.440897, 
    2.549471, 2.654602, 2.762416, 2.866386, 2.975454, 3.068576, 3.12407, 
    3.152635, 3.174701, 3.188764, 3.191871, 3.186223, 3.17112, 3.147816,
  3.153632, 3.135776, 3.102766, 3.071253, 3.043092, 3.017031, 2.990867, 
    2.969055, 2.952297, 2.937639, 2.924685, 2.914428, 2.907024, 2.902072, 
    2.899122, 2.898021, 2.898021, 2.898021, 2.898022, 2.898021, 2.898021, 
    2.898021, 2.89752, 2.89672, 2.895516, 2.893964, 2.891463, 2.888409, 
    2.885254, 2.881399, 2.877442, 2.873239, 2.870235, 2.86758, 2.865028, 
    2.863025, 2.861973, 2.861973, 2.862123, 2.863927, 2.865978, 2.868382, 
    2.871536, 2.875836, 2.882981, 2.892226, 2.905972, 2.921214, 2.936711, 
    2.95326, 2.973057, 2.994854, 3.016208, 3.035118, 3.053131, 3.066849, 
    3.077267, 3.085238, 3.091855, 3.095673, 3.097337, 3.09725, 3.09556, 
    3.093318, 3.092373, 3.092124, 3.092124, 3.092124, 3.092124, 3.091424, 
    3.08917, 3.087621, 3.090373, 3.104331, 3.144005, 3.22289, 3.335732, 
    3.479381, 3.663993, 3.851693, 3.958633, 3.991358, 3.972298, 3.919374, 
    3.843733, 1.13868, 0, 0, 0, 0, 2.492969, 2.964494, 3.081407, 3.097902, 
    3.037623, 2.94837, 2.204661, 1.483752, 2.781081, 2.861252, 2.778826, 
    2.712875, 2.700719, 2.746592, 2.810463, 2.91058, 3.076764, 3.269245, 
    3.435042, 3.588972, 3.722669, 3.813991, 3.85621, 3.836655, 3.718071, 
    3.543664, 3.401247, 3.305356, 3.254306, 3.268262, 3.336825, 3.449121, 
    3.601346, 3.768573, 3.918169, 4.054794, 4.180865, 4.280727, 4.349671, 
    4.38744, 4.403067, 4.396468, 4.325298, 4.164495, 3.927099, 3.663207, 
    3.411789, 3.148838, 2.851948, 2.534875, 2.247474, 2.017139, 1.863394, 
    1.767567, 1.720968, 1.71144, 1.754471, 1.849678, 1.982677, 2.141229, 
    2.308091, 2.466876, 2.582662, 2.630624, 2.598671, 2.5046, 2.382977, 
    2.232309, 2.051501, 1.889979, 1.768174, 1.69254, 1.700994, 1.784019, 
    1.889636, 2.013101, 2.169756, 2.34459, 2.496023, 2.631704, 2.754627, 
    2.845845, 2.910213, 2.960581, 3.003747, 3.05763, 3.223456, 3.432686, 
    3.673118, 3.90264, 4.097132, 4.278657, 4.462077, 4.620919, 4.688464, 
    4.628495, 4.510951, 4.372704, 4.257922, 4.178155, 4.139349, 4.149571, 
    4.202334, 4.270221, 4.311574, 4.344862, 4.362514, 4.373158, 4.339505, 
    4.24713, 4.111772, 3.931586, 3.697013, 3.449239, 3.185634, 2.937773, 
    2.716208, 2.543444, 2.412698, 2.303663, 2.218434, 2.191267, 2.224174, 
    2.303293, 2.376359, 2.411132, 2.422064, 2.4316, 2.443033, 2.457067, 
    2.46925, 2.478986, 2.491472, 2.493469, 2.482472, 2.462383, 2.430853, 
    2.392825, 2.354548, 2.31557, 2.274495, 2.236866, 2.212131, 2.203841, 
    2.220496, 2.266148, 2.343891, 2.45697, 2.60432, 2.761498, 2.909672, 
    3.057491, 3.210497, 3.344554, 3.435076, 3.478709, 3.410303, 3.261913, 
    3.087636, 2.909513, 2.707304, 2.505749, 2.325989, 2.153224, 1.985103, 
    1.895927, 1.851931, 1.819831, 1.775781, 1.730934, 1.681685, 1.634188, 
    1.599994, 1.598398, 1.63045, 1.69435, 1.784452, 1.878599, 1.976696, 
    2.085641, 2.211233, 2.343561, 2.463361, 2.561113, 2.645054, 2.727548, 
    2.820151, 2.912769, 3.011997, 3.096125, 3.14957, 3.184489, 3.21311, 
    3.232173, 3.238635, 3.234944, 3.219595, 3.194741,
  3.207151, 3.187899, 3.15124, 3.115531, 3.083622, 3.053462, 3.022449, 
    2.996339, 2.97658, 2.959275, 2.944168, 2.931512, 2.922808, 2.916905, 
    2.913655, 2.912555, 2.912555, 2.912555, 2.912555, 2.912555, 2.912555, 
    2.912555, 2.911604, 2.910603, 2.908552, 2.906149, 2.902545, 2.898343, 
    2.893288, 2.887885, 2.881579, 2.875824, 2.871018, 2.866915, 2.863111, 
    2.86041, 2.858759, 2.858508, 2.85916, 2.86161, 2.864513, 2.868115, 
    2.873021, 2.878377, 2.884777, 2.892222, 2.903916, 2.916309, 2.930003, 
    2.945448, 2.964095, 2.984741, 3.006238, 3.028094, 3.051208, 3.071174, 
    3.089044, 3.104463, 3.117933, 3.128399, 3.135112, 3.140076, 3.142538, 
    3.143447, 3.144151, 3.144151, 3.144151, 3.144151, 3.144151, 3.143451, 
    3.140753, 3.139151, 3.142653, 3.160163, 3.208788, 3.301173, 3.429514, 
    3.590758, 3.797765, 4.017786, 4.179287, 4.270472, 4.324368, 3.661647, 
    2.048044, 0.610459, 0, 0, 0, 0, 2.831316, 3.250767, 3.281647, 3.230694, 
    3.120808, 3.010448, 3.00767, 3.041666, 3.051156, 3.024652, 2.983246, 
    2.960377, 2.984075, 3.027289, 3.031702, 3.022706, 3.034151, 3.061594, 
    3.08836, 3.11797, 3.134702, 3.136706, 3.146767, 3.15311, 3.115575, 
    3.058755, 3.032036, 3.039577, 3.086095, 3.180114, 3.308772, 3.470642, 
    3.669264, 3.870318, 4.047017, 4.206212, 4.353956, 4.472393, 4.554921, 
    4.599639, 4.612094, 4.590313, 4.496361, 4.299825, 4.012707, 3.700945, 
    3.409451, 3.112722, 2.786306, 2.446357, 2.143224, 1.903107, 1.753725, 
    1.667955, 1.623766, 1.606151, 1.628058, 1.693041, 1.792814, 1.917785, 
    2.054111, 2.190558, 2.300591, 2.3715, 2.390976, 2.359529, 2.300585, 
    2.214344, 2.101663, 2.002667, 1.932696, 1.898751, 1.925494, 2.014551, 
    2.123603, 2.249451, 2.396949, 2.546481, 2.673419, 2.783553, 2.878481, 
    2.941011, 2.978148, 3.001286, 3.016874, 3.075212, 3.30598, 3.5812, 
    3.889376, 4.182089, 4.430633, 4.661318, 4.891445, 5.087147, 5.155507, 
    5.054006, 4.884977, 4.693341, 4.529764, 4.404692, 4.322418, 4.298415, 
    4.331851, 4.402782, 4.475646, 4.5545, 4.622868, 4.680724, 4.692921, 
    3.920935, 3.335269, 4.374918, 4.135464, 3.860193, 3.560858, 3.276576, 
    3.020507, 2.814293, 2.654836, 2.520939, 2.412645, 2.36636, 2.385429, 
    2.45315, 2.514019, 2.538693, 2.543076, 2.547463, 2.553501, 2.561586, 
    2.568273, 2.57286, 2.5807, 2.581295, 2.572252, 2.556916, 2.532484, 
    2.502806, 2.472576, 2.441998, 2.409469, 2.379539, 2.360152, 2.354757, 
    2.37286, 2.417252, 2.489128, 2.590739, 2.716526, 2.846854, 2.967886, 
    3.086815, 3.206934, 3.307701, 3.370834, 3.391981, 3.322029, 3.193525, 
    3.046145, 2.896668, 2.726749, 2.556922, 2.405684, 2.25934, 2.11549, 
    2.031996, 1.984524, 1.94579, 1.896814, 1.851158, 1.804219, 1.760435, 
    1.7303, 1.732315, 1.766524, 1.832234, 1.922985, 2.019098, 2.11705, 
    2.224447, 2.348647, 2.476847, 2.582522, 2.667552, 2.737084, 2.804358, 
    2.880166, 2.960182, 3.050507, 3.126184, 3.178081, 3.220199, 3.256419, 
    3.280582, 3.290892, 3.290701, 3.276455, 3.250453,
  3.269166, 3.249214, 3.21026, 3.171806, 3.136648, 3.102538, 3.06748, 
    3.037471, 3.014362, 2.994405, 2.976748, 2.962245, 2.952342, 2.945239, 
    2.941286, 2.940437, 2.940085, 2.940085, 2.940085, 2.940085, 2.940085, 
    2.940085, 2.939487, 2.937634, 2.935083, 2.931831, 2.92708, 2.921424, 
    2.914822, 2.907867, 2.89916, 2.891404, 2.885053, 2.879749, 2.874245, 
    2.870792, 2.86854, 2.86804, 2.86919, 2.872293, 2.876297, 2.881351, 
    2.887603, 2.894857, 2.902563, 2.910269, 2.919563, 2.929759, 2.941053, 
    2.954447, 2.971241, 2.990989, 3.011286, 3.033683, 3.060439, 3.087308, 
    3.113078, 3.135696, 3.156865, 3.173933, 3.186399, 3.196411, 3.203523, 
    3.207932, 3.209683, 3.209683, 3.209683, 3.209683, 3.209683, 3.208631, 
    3.205728, 3.20398, 3.208935, 3.229993, 3.288067, 3.394453, 3.53804, 
    3.715931, 3.944535, 4.192054, 4.390793, 4.544828, 4.684117, 3.347874, 0, 
    0, 0, 0, 0, 0, 1.505256, 2.222637, 3.424344, 3.349521, 3.236538, 
    3.144389, 3.166392, 3.228639, 3.27368, 3.284223, 3.277507, 3.28478, 
    3.319389, 3.347598, 3.31223, 3.223919, 3.11752, 3.02124, 2.947658, 
    2.889145, 2.825701, 2.774322, 2.758478, 2.76961, 2.786324, 2.81433, 
    2.866103, 2.939552, 3.043883, 3.17978, 3.333854, 3.509255, 3.718841, 
    3.928231, 4.116593, 4.28992, 4.452754, 4.585992, 4.681479, 4.736715, 
    4.755743, 4.730305, 4.622535, 4.397475, 4.067775, 3.713469, 3.38593, 
    3.059104, 2.707693, 2.349549, 2.035224, 1.79092, 1.650397, 1.577382, 
    1.539553, 1.519555, 1.52813, 1.570833, 1.644676, 1.741964, 1.852154, 
    1.96956, 2.073244, 2.160871, 2.224723, 2.249909, 2.247392, 2.218979, 
    2.167875, 2.126114, 2.103929, 2.108672, 2.156738, 2.248695, 2.35307, 
    2.466509, 2.590442, 2.714379, 2.817319, 2.902758, 2.971345, 3.007581, 
    3.021073, 3.027248, 3.03145, 3.105341, 3.398995, 3.738152, 4.113217, 
    4.469831, 4.774374, 5.057909, 5.339946, 5.579818, 5.657557, 5.522737, 
    5.307881, 5.065357, 4.851627, 4.676746, 4.541348, 4.469558, 4.466336, 
    4.51635, 4.601801, 4.711808, 4.816377, 4.908697, 4.954623, 4.222345, 
    3.66791, 4.718243, 4.486082, 4.189494, 3.864195, 3.555351, 3.278865, 
    3.052576, 2.875291, 2.726009, 2.603279, 2.544349, 2.551922, 2.608846, 
    2.658066, 2.672541, 2.671329, 2.670465, 2.671401, 2.673888, 2.675776, 
    2.675916, 2.680309, 2.679909, 2.67452, 2.665287, 2.648106, 2.626927, 
    2.6051, 2.58257, 2.557989, 2.535256, 2.520165, 2.516619, 2.535069, 
    2.575155, 2.636374, 2.720675, 2.821863, 2.924894, 3.019879, 3.112064, 
    3.202392, 3.273273, 3.31287, 3.315728, 3.242515, 3.12794, 3.002885, 
    2.876781, 2.731075, 2.583466, 2.450296, 2.319572, 2.191854, 2.11257, 
    2.058859, 2.00969, 1.952021, 1.903312, 1.858563, 1.818717, 1.793075, 
    1.798728, 1.834578, 1.90052, 1.990565, 2.088663, 2.189073, 2.300697, 
    2.430525, 2.558474, 2.659626, 2.741177, 2.807931, 2.870531, 2.936874, 
    3.004948, 3.082257, 3.150642, 3.20556, 3.25523, 3.299803, 3.330623, 
    3.344884, 3.348294, 3.337356, 3.312966,
  3.338175, 3.317875, 3.278677, 3.238724, 3.201421, 3.164466, 3.125957, 
    3.092098, 3.065641, 3.043035, 3.022829, 3.006473, 2.99537, 2.987419, 
    2.982868, 2.981967, 2.981619, 2.981619, 2.981619, 2.981619, 2.981619, 
    2.981619, 2.980967, 2.978365, 2.975114, 2.971162, 2.965509, 2.958156, 
    2.950102, 2.940996, 2.930192, 2.920488, 2.912582, 2.905728, 2.899227, 
    2.894675, 2.891824, 2.891073, 2.892725, 2.896626, 2.901577, 2.907929, 
    2.915685, 2.92484, 2.934343, 2.944198, 2.953654, 2.963657, 2.974612, 
    2.987666, 3.004823, 3.025228, 3.046385, 3.069642, 3.09925, 3.13191, 
    3.163419, 3.191427, 3.217935, 3.240042, 3.256696, 3.26985, 3.279953, 
    3.286103, 3.288203, 3.288203, 3.288203, 3.288203, 3.288203, 3.286804, 
    3.283354, 3.282306, 3.288708, 3.313669, 3.381845, 3.502429, 3.660313, 
    3.854251, 4.102946, 4.376908, 4.609535, 4.813801, 5.010098, 3.610378, 0, 
    0, 0, 0, 0, 0, 0, 1.038288, 3.440739, 3.387316, 3.312386, 3.271235, 
    3.342224, 3.451005, 3.535659, 3.580837, 3.604604, 3.630072, 3.658283, 
    3.662305, 3.598683, 3.464717, 3.295201, 3.141493, 3.021695, 2.922203, 
    2.829047, 2.763957, 2.740412, 2.747308, 2.783795, 2.838726, 2.909349, 
    2.995013, 3.105566, 3.239712, 3.38766, 3.553463, 3.750516, 3.950179, 
    4.134498, 4.309027, 4.480186, 4.629727, 4.740817, 4.810251, 4.841282, 
    4.822604, 4.711909, 4.469583, 4.109381, 3.718305, 3.355169, 2.997995, 
    2.622638, 2.248352, 1.925233, 1.680535, 1.552118, 1.494911, 1.466838, 
    1.450302, 1.452696, 1.480269, 1.534277, 1.609279, 1.69753, 1.79769, 
    1.895627, 1.992898, 2.095739, 2.171804, 2.219971, 2.243993, 2.249175, 
    2.260348, 2.282953, 2.323387, 2.395439, 2.478138, 2.565228, 2.654068, 
    2.751856, 2.849791, 2.928984, 2.991029, 3.035221, 3.049527, 3.051327, 
    3.052426, 3.057528, 3.147717, 3.501762, 3.903061, 4.344724, 4.766883, 
    5.128623, 5.466557, 5.804244, 6.096076, 6.193837, 6.039862, 5.790195, 
    5.498628, 5.230237, 4.995776, 4.791435, 4.650485, 4.585252, 4.584439, 
    4.642054, 4.751347, 4.873164, 4.990467, 5.070961, 5.090577, 5.049295, 
    4.950259, 4.747061, 4.455873, 4.125345, 3.807745, 3.522437, 3.282759, 
    3.092782, 2.931856, 2.797277, 2.72665, 2.723675, 2.770049, 2.806164, 
    2.809686, 2.803322, 2.797662, 2.7934, 2.790688, 2.788027, 2.784319, 
    2.786967, 2.787974, 2.787788, 2.785506, 2.776627, 2.764199, 2.75112, 
    2.73664, 2.720009, 2.704327, 2.692936, 2.69099, 2.707833, 2.741163, 
    2.788376, 2.852374, 2.928211, 3.003945, 3.073133, 3.139169, 3.201955, 
    3.246746, 3.266401, 3.254569, 3.17671, 3.068969, 2.956637, 2.843606, 
    2.710475, 2.57414, 2.449703, 2.328072, 2.213253, 2.141073, 2.08678, 
    2.033177, 1.971677, 1.92178, 1.877783, 1.839737, 1.815336, 1.819877, 
    1.853768, 1.91847, 2.006967, 2.10311, 2.206515, 2.326733, 2.463389, 
    2.591692, 2.693795, 2.776649, 2.844954, 2.909311, 2.974312, 3.03475, 
    3.098725, 3.166436, 3.228805, 3.286273, 3.339744, 3.378613, 3.398129, 
    3.406444, 3.400355, 3.379915,
  3.411173, 3.391928, 3.354082, 3.314085, 3.275934, 3.237431, 3.195574, 
    3.158869, 3.129413, 3.104508, 3.081902, 3.063699, 3.051396, 3.042945, 
    3.037893, 3.036643, 3.036643, 3.036643, 3.036643, 3.036643, 3.036643, 
    3.036643, 3.035543, 3.032743, 3.028892, 3.023989, 3.017036, 3.008383, 
    2.99888, 2.987977, 2.975221, 2.963416, 2.953361, 2.945058, 2.937705, 
    2.932052, 2.928601, 2.9276, 2.929751, 2.934454, 2.940356, 2.947659, 
    2.957263, 2.968818, 2.980124, 2.991778, 3.003131, 3.014635, 3.027389, 
    3.042243, 3.061798, 3.084353, 3.107908, 3.133914, 3.166369, 3.202828, 
    3.237685, 3.26869, 3.298398, 3.323153, 3.341708, 3.356411, 3.367915, 
    3.374618, 3.376969, 3.37722, 3.37722, 3.37722, 3.37722, 3.37582, 3.37237, 
    3.371318, 3.378971, 3.408683, 3.486101, 3.619428, 3.790307, 3.99934, 
    4.266734, 4.564938, 4.829261, 5.059971, 5.275517, 4.670731, 1.441212, 0, 
    0, 0, 0, 0, 0.1702931, 2.223129, 3.432472, 3.418281, 3.398021, 3.4153, 
    3.532935, 3.672904, 3.78212, 3.841109, 3.87444, 3.898315, 3.907715, 
    3.885015, 3.798779, 3.649923, 3.473604, 3.316091, 3.193877, 3.090901, 
    3.000569, 2.940383, 2.91944, 2.925439, 2.956677, 3.002905, 3.060872, 
    3.130381, 3.220029, 3.331525, 3.457171, 3.602069, 3.778216, 3.959918, 
    4.130232, 4.294253, 4.460121, 4.611188, 4.726118, 4.804326, 4.845442, 
    4.835011, 4.72742, 4.477359, 4.100481, 3.688456, 3.303838, 2.927973, 
    2.533186, 2.146413, 1.817252, 1.573856, 1.458938, 1.420334, 1.406374, 
    1.397997, 1.400705, 1.419541, 1.459113, 1.516879, 1.586288, 1.670452, 
    1.762236, 1.867, 2.005128, 2.127132, 2.221284, 2.29304, 2.350909, 
    2.411471, 2.476719, 2.551047, 2.635705, 2.695799, 2.757437, 2.821179, 
    2.892364, 2.964255, 3.01995, 3.059548, 3.081148, 3.086197, 3.088349, 
    3.089802, 3.096156, 3.197219, 3.597194, 4.059536, 4.568091, 5.056296, 
    5.477791, 5.874788, 6.275652, 6.629814, 6.770406, 6.622158, 6.34851, 
    6.008044, 5.674123, 5.366788, 5.076321, 4.845241, 4.695271, 4.613199, 
    4.598139, 4.668413, 4.788187, 4.928342, 5.047733, 5.115346, 5.122559, 
    5.072026, 4.917154, 4.663468, 4.355001, 4.049306, 3.758337, 3.501986, 
    3.294933, 3.116577, 2.962614, 2.872449, 2.850936, 2.880533, 2.900592, 
    2.901909, 2.897631, 2.895105, 2.894232, 2.894357, 2.894732, 2.894757, 
    2.899217, 2.904179, 2.909541, 2.914559, 2.91463, 2.91115, 2.906118, 
    2.899686, 2.891356, 2.88217, 2.875182, 2.874484, 2.886919, 2.909036, 
    2.939093, 2.980688, 3.030577, 3.079264, 3.123356, 3.163949, 3.200739, 
    3.223895, 3.228167, 3.204793, 3.123938, 3.018541, 2.910895, 2.803604, 
    2.676464, 2.546127, 2.428195, 2.315166, 2.214653, 2.151225, 2.101289, 
    2.049249, 1.99006, 1.940961, 1.897058, 1.85805, 1.830135, 1.828515, 
    1.8575, 1.921495, 2.008792, 2.102237, 2.20523, 2.325714, 2.462006, 
    2.591408, 2.694963, 2.779968, 2.850826, 2.917027, 2.982228, 3.042538, 
    2.946768, 2.06579, 3.248791, 3.314662, 3.377184, 3.424405, 3.450622, 
    3.464935, 3.463897, 3.448462,
  3.485167, 3.468374, 3.433081, 3.394736, 3.356688, 3.317587, 3.273635, 
    3.23493, 3.203428, 3.176825, 3.152522, 3.133421, 3.120169, 3.111118, 
    3.105919, 3.104669, 3.104669, 3.104669, 3.104669, 3.104669, 3.104669, 
    3.104669, 3.103569, 3.100619, 3.096167, 3.090316, 3.082063, 3.071959, 
    3.060905, 3.04845, 3.033295, 3.019491, 3.007889, 2.998386, 2.989733, 
    2.982931, 2.97888, 2.977629, 2.980281, 2.985782, 2.992884, 3.001387, 
    3.01234, 3.025793, 3.039147, 3.052852, 3.065656, 3.078609, 3.092911, 
    3.109666, 3.130869, 3.155322, 3.180425, 3.208328, 3.242933, 3.282087, 
    3.319692, 3.353097, 3.384899, 3.411754, 3.431957, 3.447959, 3.46046, 
    3.468112, 3.470712, 3.471212, 3.471212, 3.471212, 3.471212, 3.469812, 
    3.466312, 3.464812, 3.473715, 3.507823, 3.593242, 3.737265, 3.92004, 
    4.14272, 4.427305, 4.746648, 5.040712, 5.293805, 5.525785, 5.749465, 
    4.48075, 0.9283257, 0, 0, 0, 0, 0.3345801, 3.363388, 3.419468, 3.446801, 
    3.477848, 3.543542, 3.684515, 3.83178, 3.94644, 4.003139, 4.024002, 
    4.036122, 4.032864, 3.990975, 3.895921, 3.754359, 3.595105, 3.456254, 
    3.350595, 3.261384, 3.183221, 3.130592, 3.113201, 3.118549, 3.143833, 
    3.178452, 3.221366, 3.273025, 3.340475, 3.42817, 3.530416, 3.651911, 
    3.804907, 3.966713, 4.121478, 4.273451, 4.427128, 4.565402, 4.668618, 
    4.73998, 4.773831, 4.758994, 4.656758, 4.405062, 4.015934, 3.5911, 
    3.197677, 2.81687, 2.419242, 2.038442, 1.714274, 1.472327, 1.370405, 
    1.352303, 1.356898, 1.362187, 1.370756, 1.386506, 1.415686, 1.458853, 
    1.511015, 1.580031, 1.662555, 1.774874, 1.946551, 2.110892, 2.246581, 
    2.361977, 2.46833, 2.575834, 2.681723, 2.78513, 2.866457, 2.901799, 
    2.937642, 2.975934, 3.020426, 3.067018, 3.100169, 3.118272, 3.127565, 
    3.133168, 3.136622, 3.139376, 3.147229, 3.251983, 3.681192, 4.203225, 
    4.782093, 5.342117, 5.831585, 6.294088, 6.762787, 7.186042, 7.388686, 
    7.267509, 6.984763, 6.595654, 6.181458, 5.787896, 5.401775, 5.073205, 
    4.829845, 4.652631, 4.540997, 4.537486, 4.633353, 4.787061, 4.934752, 
    5.042122, 5.092559, 5.089108, 4.989385, 4.790722, 4.526542, 4.248312, 
    3.958738, 3.69194, 3.469622, 3.272491, 3.094795, 2.976681, 2.927667, 
    2.931854, 2.938282, 2.943483, 2.948102, 2.955875, 2.966199, 2.977375, 
    2.987948, 2.998872, 3.011298, 3.024273, 3.036794, 3.048608, 3.057175, 
    3.062596, 3.065364, 3.06638, 3.066147, 3.063162, 3.06042, 3.059066, 
    3.06294, 3.069151, 3.079303, 3.0975, 3.12109, 3.143733, 3.163328, 
    3.180477, 3.195235, 3.203209, 3.197441, 3.165425, 3.082069, 2.977219, 
    2.871172, 2.767229, 2.644137, 2.519651, 2.408715, 2.305489, 2.22208, 
    2.170814, 2.130344, 2.085316, 2.03173, 1.983383, 1.937626, 1.893964, 
    1.857942, 1.84501, 1.862271, 1.912765, 1.988215, 2.071776, 2.167851, 
    2.281435, 2.414629, 2.54473, 2.650586, 2.740352, 2.820587, 2.895726, 
    2.969715, 3.041607, 1.543086, 0.4818629, 1.621391, 2.846886, 3.418756, 
    3.474575, 3.507138, 3.526046, 3.527193, 3.516652,
  3.556148, 3.542154, 3.511869, 3.476326, 3.439932, 3.401083, 3.357035, 
    3.317285, 3.285186, 3.257634, 3.232985, 3.213434, 3.199934, 3.190635, 
    3.185484, 3.184685, 3.184685, 3.184685, 3.184685, 3.184685, 3.184685, 
    3.184685, 3.183134, 3.179983, 3.174932, 3.16813, 3.158577, 3.147024, 
    3.13417, 3.119916, 3.102813, 3.087209, 3.074155, 3.063201, 3.053248, 
    3.045295, 3.040895, 3.039646, 3.042345, 3.048597, 3.056899, 3.066602, 
    3.079307, 3.09426, 3.109415, 3.124917, 3.139622, 3.153925, 3.169428, 
    3.187379, 3.209881, 3.235483, 3.261435, 3.290185, 3.325886, 3.365885, 
    3.404685, 3.439285, 3.471887, 3.499385, 3.520185, 3.536785, 3.549435, 
    3.557234, 3.559934, 3.560183, 3.560183, 3.560183, 3.560183, 3.559135, 
    3.555785, 3.554436, 3.56469, 3.602598, 3.695362, 3.849284, 4.042755, 
    4.277178, 4.576357, 4.914096, 5.234651, 5.513571, 5.761261, 5.997939, 
    4.594807, 0.9201176, 0, 0, 0, 0, 0.1643796, 1.65664, 2.611018, 3.56381, 
    3.625852, 3.712352, 3.85122, 3.994991, 4.102702, 4.148555, 4.144281, 
    4.134063, 4.113998, 4.056869, 3.966142, 3.84183, 3.704079, 3.587028, 
    3.50007, 3.428509, 3.367849, 3.327081, 3.31369, 3.317083, 3.33351, 
    3.354028, 3.380843, 3.414654, 3.460307, 3.523805, 3.602655, 3.701108, 
    3.831159, 3.973517, 4.111729, 4.252054, 4.396034, 4.522759, 4.612633, 
    4.668553, 4.683116, 4.649821, 4.549013, 4.301579, 3.901307, 3.461123, 
    3.056948, 2.672388, 2.283907, 1.92405, 1.621061, 1.386642, 1.297972, 
    1.302072, 1.328725, 1.353272, 1.372299, 1.388099, 1.409033, 1.438354, 
    1.472161, 1.523517, 1.595897, 1.714857, 1.913752, 2.116381, 2.290111, 
    2.444941, 2.595886, 2.745369, 2.879406, 2.998018, 3.071455, 3.083911, 
    3.094557, 3.107653, 3.126799, 3.148546, 3.164869, 3.173875, 3.182629, 
    3.190637, 3.196142, 3.200947, 3.210301, 3.317256, 3.77196, 4.355199, 
    5.012027, 5.649648, 6.204823, 6.729546, 7.261579, 7.751269, 8.015599, 
    7.925666, 7.640952, 7.208317, 6.708634, 6.230318, 5.752181, 5.329883, 
    4.995891, 4.724888, 4.510215, 4.409946, 4.457616, 4.604429, 4.7543, 
    4.874287, 4.945042, 4.968915, 4.911679, 4.761006, 4.541033, 4.296914, 
    4.031847, 3.781617, 3.567821, 3.373965, 3.193597, 3.060041, 2.994631, 
    2.982069, 2.980455, 2.984047, 2.9936, 3.007705, 3.025213, 3.043972, 
    3.06138, 3.079136, 3.099144, 3.119452, 3.137657, 3.153411, 3.166513, 
    3.176463, 3.183164, 3.187764, 3.19046, 3.190358, 3.188404, 3.18505, 
    3.182094, 3.17859, 3.175629, 3.17791, 3.183489, 3.187965, 3.190795, 
    3.192225, 3.192954, 3.190132, 3.176214, 3.140262, 3.056567, 2.951566, 
    2.846969, 2.745173, 2.626232, 2.507344, 2.405017, 2.314952, 2.248636, 
    2.214629, 2.188915, 2.155143, 2.108358, 2.060357, 2.010696, 1.957517, 
    1.904564, 1.868796, 1.860974, 1.883255, 1.935553, 2.003221, 2.088799, 
    2.196438, 2.327887, 2.4612, 2.573823, 2.674556, 2.771595, 2.864435, 
    2.955974, 3.046464, 1.570743, 0, 0, 2.383558, 3.46525, 3.529418, 
    3.566375, 3.587227, 3.587977, 3.580482,
  3.620629, 3.609435, 3.585648, 3.554861, 3.52192, 3.484776, 3.442481, 
    3.403936, 3.372439, 3.345141, 3.321394, 3.302096, 3.288696, 3.279496, 
    3.274548, 3.274198, 3.274198, 3.274198, 3.274198, 3.274198, 3.274198, 
    3.274198, 3.272148, 3.268496, 3.262945, 3.255294, 3.244542, 3.231237, 
    3.216934, 3.20088, 3.181825, 3.164272, 3.149669, 3.137166, 3.125813, 
    3.117012, 3.111909, 3.110658, 3.11346, 3.120762, 3.129913, 3.141167, 
    3.155369, 3.172223, 3.189177, 3.206482, 3.223537, 3.239089, 3.255441, 
    3.274243, 3.297343, 3.322992, 3.348941, 3.377338, 3.411933, 3.45108, 
    3.488926, 3.522572, 3.554769, 3.581216, 3.601413, 3.617411, 3.62986, 
    3.63721, 3.639658, 3.639658, 3.639658, 3.639658, 3.639658, 3.638958, 
    3.635808, 3.63506, 3.646662, 3.688019, 3.786529, 3.948694, 4.150709, 
    4.394726, 4.705949, 5.059478, 5.400814, 5.698726, 5.956028, 6.199078, 
    4.815094, 3.364517, 0.3390727, 0, 0, 0, 0, 0, 1.868719, 3.773489, 
    3.852621, 3.935707, 4.058419, 4.184623, 4.271272, 4.295025, 4.265489, 
    4.231053, 4.187718, 4.114277, 4.027622, 3.919303, 3.802946, 3.706787, 
    3.638023, 3.583256, 3.539187, 3.510909, 3.499609, 3.498446, 3.503822, 
    3.510696, 3.522014, 3.539282, 3.565545, 3.606852, 3.665867, 3.746236, 
    3.856148, 3.978204, 4.09746, 4.22478, 4.358857, 4.474033, 4.552359, 
    4.594982, 4.5934, 4.542669, 4.436002, 4.195668, 3.793329, 3.341965, 
    2.928249, 2.542202, 2.173618, 1.846865, 1.580762, 1.375204, 1.308266, 
    1.340034, 1.395052, 1.442705, 1.473528, 1.478683, 1.481272, 1.488055, 
    1.494682, 1.519312, 1.578525, 1.695859, 1.904507, 2.127266, 2.323534, 
    2.502307, 2.681184, 2.856513, 3.002628, 3.122472, 3.191214, 3.192861, 
    3.190358, 3.191359, 3.198762, 3.209617, 3.221373, 3.233481, 3.245641, 
    3.256897, 3.265405, 3.272861, 3.284366, 3.393721, 3.861675, 4.496659, 
    5.22534, 5.931414, 6.541626, 7.120334, 7.711606, 8.263733, 8.587357, 
    8.542784, 8.25895, 7.796055, 7.220311, 6.669064, 6.108346, 5.598067, 
    5.177137, 4.814998, 4.498936, 4.302492, 4.295186, 4.419176, 4.547263, 
    4.652362, 4.716229, 4.74091, 4.698761, 4.577009, 4.389572, 4.180793, 
    3.958895, 3.748345, 3.567179, 3.401757, 3.246531, 3.124586, 3.059899, 
    3.042439, 3.035129, 3.035423, 3.045371, 3.061625, 3.082733, 3.10524, 
    3.125896, 3.146553, 3.169658, 3.193063, 3.213417, 3.23062, 3.244019, 
    3.253968, 3.260166, 3.263913, 3.26501, 3.263255, 3.259149, 3.253644, 
    3.248591, 3.243137, 3.237135, 3.232524, 3.228503, 3.223236, 3.217319, 
    3.210352, 3.201984, 3.19097, 3.17277, 3.136721, 3.055879, 2.951432, 
    2.848034, 2.748139, 2.639372, 2.534068, 2.445905, 2.371036, 2.319615, 
    2.299733, 2.290016, 2.268039, 2.226396, 2.168957, 2.103953, 1.312484, 
    1.842831, 1.875334, 1.836171, 1.828863, 1.860878, 1.914348, 1.990781, 
    2.094525, 2.227232, 2.367749, 2.492327, 2.609214, 2.726059, 2.838303, 
    2.946987, 3.054269, 2.997126, 1.141239, 0, 1.19335, 1.916807, 3.577488, 
    3.61659, 3.638544, 3.639645, 3.635454,
  3.670579, 3.662537, 3.648664, 3.628042, 3.599653, 3.566362, 3.527872, 
    3.492029, 3.462936, 3.438044, 3.415897, 3.397901, 3.385705, 3.377359, 
    3.37301, 3.37271, 3.37271, 3.37271, 3.37271, 3.37271, 3.37271, 3.37271, 
    3.37061, 3.366359, 3.359957, 3.351454, 3.339551, 3.324951, 3.309197, 
    3.291344, 3.269889, 3.250335, 3.234181, 3.220479, 3.207877, 3.198375, 
    3.192675, 3.191175, 3.194475, 3.202426, 3.212428, 3.224879, 3.240433, 
    3.259187, 3.278191, 3.297544, 3.316497, 3.33325, 3.350202, 3.36925, 
    3.391847, 3.416696, 3.441191, 3.467435, 3.499429, 3.535821, 3.570914, 
    3.602158, 3.631801, 3.656245, 3.674891, 3.689689, 3.701336, 3.708035, 
    3.710134, 3.710135, 3.710134, 3.710135, 3.710134, 3.709435, 3.706786, 
    3.706386, 3.718636, 3.76239, 3.865047, 4.032505, 4.240665, 4.492228, 
    4.811639, 5.177311, 5.53424, 5.837249, 6.094798, 6.337195, 6.550991, 
    4.345254, 0.3362761, 0, 0, 0, 0, 0, 0.9563429, 3.381842, 4.07761, 
    4.14983, 4.25866, 4.360104, 4.420797, 4.420043, 4.37145, 4.319363, 
    4.259782, 4.174221, 4.086622, 3.987128, 3.885296, 3.802712, 3.745675, 
    3.701236, 3.666845, 3.644397, 3.633448, 3.629148, 3.627693, 3.626988, 
    3.629181, 3.63592, 3.649754, 3.675432, 3.719606, 3.784422, 3.87488, 
    3.974281, 4.072186, 4.181642, 4.303264, 4.407242, 4.475825, 4.507305, 
    4.492433, 4.429563, 4.316503, 4.087283, 3.70169, 3.257432, 2.850676, 
    2.481039, 2.150832, 1.872636, 1.653785, 1.492325, 1.453279, 1.511169, 
    1.592009, 1.660945, 1.702767, 1.699426, 1.686321, 1.670744, 1.65186, 
    1.650572, 1.690931, 1.792885, 1.98753, 2.198624, 2.386222, 2.561585, 
    2.741262, 2.918443, 3.064879, 3.18087, 3.245812, 3.245055, 3.241604, 
    3.243055, 3.251858, 3.265363, 3.280371, 3.296078, 3.312587, 3.327796, 
    3.339904, 3.350611, 3.365319, 3.477024, 3.936636, 4.589478, 5.365394, 
    6.121477, 6.78087, 7.409117, 8.055373, 8.66393, 9.04178, 9.067244, 
    8.809885, 8.335683, 7.699174, 7.082601, 6.446404, 5.854698, 5.353093, 
    4.90608, 4.494195, 4.206611, 4.142934, 4.237171, 4.334657, 4.415056, 
    4.461969, 4.476697, 4.434645, 4.329768, 4.174036, 4.004678, 3.831729, 
    3.668174, 3.527658, 3.399735, 3.280962, 3.186571, 3.132904, 3.113504, 
    3.101797, 3.099643, 3.109394, 3.127547, 3.151702, 3.177006, 3.200412, 
    3.223465, 3.24912, 3.274523, 3.296426, 3.314126, 3.327477, 3.336674, 
    3.34142, 3.343366, 3.342411, 3.337503, 3.330646, 3.322742, 3.315536, 
    3.307982, 3.300879, 3.293428, 3.284578, 3.274877, 3.265379, 3.25483, 
    3.242632, 3.229085, 3.211137, 3.175688, 3.09734, 2.994946, 2.895661, 
    2.800927, 2.705649, 2.617876, 2.543246, 2.477002, 2.433304, 2.418809, 
    2.417009, 2.399456, 2.354185, 2.276741, 1.640427, 0.316258, 0.9679075, 
    1.858146, 1.790892, 1.757944, 1.772156, 1.812932, 1.881266, 1.981809, 
    2.117464, 2.26608, 2.404058, 2.538895, 2.677591, 2.811638, 2.93647, 
    3.058499, 3.174976, 2.78372, 1.697127, 0.5144849, 0.3596539, 3.608089, 
    3.648041, 3.671192, 3.673345, 3.673554,
  3.696023, 3.694291, 3.695675, 3.690558, 3.670631, 3.642292, 3.608299, 
    3.576409, 3.550665, 3.528769, 3.508875, 3.49283, 3.482432, 3.475183, 
    3.471435, 3.471184, 3.471185, 3.471184, 3.471185, 3.471184, 3.471185, 
    3.471184, 3.469085, 3.464685, 3.457685, 3.448585, 3.436486, 3.421285, 
    3.404685, 3.385985, 3.363786, 3.342835, 3.325936, 3.311485, 3.298385, 
    3.288385, 3.282685, 3.281185, 3.284485, 3.292585, 3.303185, 3.315885, 
    3.332786, 3.352135, 3.372436, 3.392385, 3.411985, 3.429385, 3.446434, 
    3.464531, 3.485829, 3.509074, 3.531169, 3.554664, 3.583357, 3.615749, 
    3.64689, 3.674883, 3.701328, 3.723123, 3.739869, 3.753115, 3.763312, 
    3.76901, 3.77111, 3.77111, 3.77111, 3.77111, 3.77111, 3.77041, 3.76826, 
    3.768212, 3.780612, 3.825563, 3.930516, 4.100719, 4.312624, 4.56898, 
    4.89374, 5.267902, 5.637424, 5.949902, 6.208257, 6.449053, 6.659945, 
    2.023558, 0, 0, 0, 0, 0, 0, 1.092525, 2.094988, 4.092467, 4.369799, 
    4.465166, 4.534243, 4.563524, 4.535469, 4.465928, 4.397449, 4.324979, 
    4.236327, 4.149127, 4.05178, 3.95684, 3.881554, 3.830163, 3.790673, 
    3.759727, 3.739032, 3.728683, 3.723932, 3.720628, 3.717374, 3.716669, 
    3.718761, 3.725549, 3.740629, 3.770347, 3.816858, 3.885161, 3.960213, 
    4.035668, 4.123024, 4.225878, 4.314689, 4.372012, 4.394344, 4.372037, 
    4.304137, 4.190996, 3.978482, 3.62154, 3.211182, 2.839527, 2.508819, 
    2.225614, 1.996808, 1.823642, 1.703668, 1.689915, 1.76675, 1.858305, 
    1.935854, 1.985012, 1.985669, 1.972323, 1.950574, 1.921818, 1.902684, 
    1.922242, 2.001297, 2.169496, 2.352741, 2.514289, 2.667788, 2.828887, 
    2.990846, 3.129881, 3.24092, 3.30141, 3.297454, 3.292349, 3.293898, 
    3.304452, 3.321109, 3.339616, 3.359174, 3.380084, 3.399842, 3.4159, 
    3.430207, 3.448665, 3.556144, 3.981294, 4.624214, 5.424797, 6.214599, 
    6.911657, 7.580724, 8.273705, 8.930542, 9.365268, 9.479108, 9.27036, 
    8.808411, 8.139337, 7.4702, 6.769989, 6.107463, 5.535134, 5.012846, 
    4.51318, 4.135202, 4.000245, 4.053997, 4.119984, 4.173679, 4.201489, 
    4.204113, 4.160308, 4.068336, 3.947056, 3.821941, 3.697585, 3.580676, 
    3.481659, 3.393138, 3.312464, 3.248275, 3.210908, 3.193114, 3.178811, 
    3.174808, 3.18541, 3.205112, 3.231165, 3.258117, 3.28342, 3.308373, 
    3.335675, 3.362679, 3.385179, 3.402779, 3.415425, 3.423222, 3.426169, 
    3.425964, 3.421907, 3.413602, 3.403394, 3.392838, 3.382632, 3.373179, 
    3.365128, 3.356725, 3.347574, 3.338026, 3.329377, 3.32003, 3.309134, 
    3.296886, 3.280139, 3.245893, 3.173363, 3.079039, 2.989965, 2.905791, 
    2.822868, 2.749247, 2.684316, 2.622177, 2.581084, 2.564974, 2.559309, 
    2.537546, 2.479917, 2.377863, 1.155839, 0, 0.1847933, 1.824068, 1.728609, 
    1.672013, 1.669585, 1.700469, 1.761505, 1.858248, 1.9958, 2.152566, 
    2.304294, 2.457781, 2.618574, 2.773661, 2.913941, 3.050018, 3.177736, 
    3.289697, 3.379747, 1.024348, 0.1795916, 2.34778, 3.649467, 3.675025, 
    3.680485, 3.687252,
  3.697483, 3.705904, 3.724688, 3.736922, 3.730601, 3.709569, 3.680279, 
    3.652636, 3.629891, 3.610647, 3.593352, 3.579456, 3.569906, 3.563509, 
    3.560359, 3.560159, 3.560159, 3.560159, 3.560159, 3.560159, 3.560159, 
    3.560159, 3.558511, 3.554161, 3.547663, 3.539065, 3.527465, 3.512919, 
    3.497173, 3.479326, 3.458229, 3.438133, 3.422186, 3.408339, 3.395891, 
    3.386393, 3.380694, 3.379194, 3.382493, 3.390443, 3.40044, 3.412538, 
    3.428734, 3.446981, 3.466427, 3.485525, 3.504021, 3.520568, 3.536414, 
    3.553312, 3.572707, 3.592951, 3.612646, 3.63339, 3.658383, 3.687027, 
    3.713869, 3.738262, 3.761806, 3.781001, 3.795597, 3.807044, 3.815841, 
    3.82084, 3.822589, 3.822589, 3.822589, 3.822589, 3.822589, 3.821889, 
    3.82019, 3.820189, 3.832589, 3.877889, 3.983388, 4.153485, 4.366334, 
    4.623983, 4.952187, 5.330992, 5.709104, 6.03543, 6.303914, 6.544065, 
    6.753416, 2.05145, 0, 0, 0, 0, 0, 0, 1.084122, 0.6504734, 2.226616, 
    4.604808, 4.668621, 4.700601, 4.69659, 4.643499, 4.556422, 4.476004, 
    4.395493, 4.304737, 4.215127, 4.118176, 4.027432, 3.957741, 3.910648, 
    3.874753, 3.846257, 3.827812, 3.817912, 3.812561, 3.80816, 3.803911, 
    3.801157, 3.800504, 3.802297, 3.807981, 3.823106, 3.849769, 3.894173, 
    3.944727, 3.996932, 4.062091, 4.142048, 4.21096, 4.255789, 4.271581, 
    4.249238, 4.184901, 4.080827, 3.889974, 3.570561, 3.210613, 2.887154, 
    2.601486, 2.364168, 2.179796, 2.045714, 1.959569, 1.967706, 2.052904, 
    2.143797, 2.220696, 2.272147, 2.276755, 2.265559, 2.244561, 2.214161, 
    2.184152, 2.185022, 2.241529, 2.383429, 2.538526, 2.673324, 2.800072, 
    2.934018, 3.072167, 3.197129, 3.300058, 3.354495, 3.346034, 3.338078, 
    3.338876, 3.351028, 3.370833, 3.392589, 3.416096, 3.441555, 3.466014, 
    3.486623, 3.505132, 3.526988, 3.623166, 3.995511, 4.613948, 5.424253, 
    6.23433, 6.955766, 7.652708, 8.381214, 9.07758, 9.573039, 9.782969, 
    9.635101, 9.198951, 8.520389, 7.814131, 7.066308, 6.347114, 5.715313, 
    5.126895, 4.547202, 4.083198, 3.87477, 3.882691, 3.917784, 3.945288, 
    3.956062, 3.949352, 3.906862, 3.832953, 3.746166, 3.662893, 3.585029, 
    3.51281, 3.452728, 3.399987, 3.353644, 3.31724, 3.294665, 3.279771, 
    3.264369, 3.259971, 3.271171, 3.291822, 3.319175, 3.347276, 3.373427, 
    3.399227, 3.427178, 3.454526, 3.476424, 3.492719, 3.503365, 3.508608, 
    3.508901, 3.505694, 3.497886, 3.485828, 3.472121, 3.458415, 3.44526, 
    3.434357, 3.425355, 3.416707, 3.407658, 3.399311, 3.392116, 3.38492, 
    3.376577, 3.366482, 3.352139, 3.319943, 3.257512, 3.17719, 3.100963, 
    3.02788, 2.954792, 2.890298, 2.832256, 2.774562, 2.736717, 2.714153, 
    2.700237, 2.670921, 2.602507, 2.478526, 1.766221, 1.080684, 1.069248, 
    1.782521, 1.659373, 1.581387, 1.566918, 1.591008, 1.646299, 1.738339, 
    1.874732, 2.036987, 2.200305, 2.369579, 2.550062, 2.723797, 2.876164, 
    3.022577, 3.157537, 3.274194, 3.364445, 2.226946, 1.750063, 2.322064, 
    2.710735, 3.104769, 3.661694, 3.678817,
  3.682462, 3.702082, 3.739216, 3.7696, 3.779332, 3.767347, 3.742755, 
    3.719363, 3.699619, 3.683375, 3.668378, 3.656733, 3.648135, 3.642687, 
    3.639837, 3.639637, 3.639637, 3.639637, 3.639637, 3.639637, 3.639637, 
    3.639637, 3.638438, 3.634288, 3.628639, 3.621242, 3.610495, 3.597346, 
    3.583399, 3.567353, 3.547806, 3.52991, 3.515663, 3.503165, 3.492268, 
    3.483519, 3.47817, 3.47667, 3.47992, 3.487268, 3.496167, 3.507165, 
    3.521311, 3.537858, 3.555405, 3.572951, 3.589498, 3.604094, 3.618392, 
    3.633387, 3.650584, 3.667829, 3.684873, 3.702618, 3.724313, 3.748955, 
    3.771848, 3.792641, 3.812835, 3.82938, 3.841575, 3.851322, 3.85892, 
    3.863519, 3.864819, 3.86507, 3.86507, 3.86507, 3.865069, 3.86437, 
    3.86307, 3.862669, 3.874819, 3.919165, 4.022809, 4.190503, 4.401297, 
    4.657593, 4.985689, 5.365086, 5.746286, 6.083401, 6.368379, 6.610133, 
    6.820335, 4.562964, 0.3558983, 0, 0, 0, 0, 0, 0, 0, 0.4838461, 4.84308, 
    4.852566, 4.845642, 4.809482, 4.736047, 4.635374, 4.545907, 4.459747, 
    4.366644, 4.274846, 4.180606, 4.096124, 4.030129, 3.985883, 3.952136, 
    3.925689, 3.908439, 3.89889, 3.89319, 3.888189, 3.883737, 3.880137, 
    3.877935, 3.877082, 3.876875, 3.88111, 3.88988, 3.910688, 3.937044, 
    3.966956, 4.01157, 4.071789, 4.124668, 4.160103, 4.173853, 4.159024, 
    4.107407, 4.0217, 3.860764, 3.589306, 3.280796, 3.002273, 2.756991, 
    2.559056, 2.410813, 2.306758, 2.24399, 2.264048, 2.345537, 2.431525, 
    2.505617, 2.557316, 2.564819, 2.556024, 2.536728, 2.506529, 2.473979, 
    2.465775, 2.50445, 2.620404, 2.74675, 2.850837, 2.947929, 3.053477, 
    3.164025, 3.266379, 3.351935, 3.396513, 3.381299, 3.370293, 3.371195, 
    3.38505, 3.407554, 3.432309, 3.459516, 3.490027, 3.519536, 3.544844, 
    3.568053, 3.593309, 3.676383, 3.989718, 4.55925, 5.358505, 6.177964, 
    6.912326, 7.62394, 8.373764, 9.096848, 9.645739, 9.948302, 9.88353, 
    9.477543, 8.792631, 8.063954, 7.287119, 6.52997, 5.853705, 5.211722, 
    4.565015, 4.027295, 3.760804, 3.732699, 3.74221, 3.750384, 3.751925, 
    3.74403, 3.712711, 3.663362, 3.61183, 3.567649, 3.530916, 3.495874, 
    3.465819, 3.438906, 3.416338, 3.39806, 3.384921, 3.371772, 3.356374, 
    3.351972, 3.363172, 3.383821, 3.41162, 3.439618, 3.465165, 3.490363, 
    3.517559, 3.543205, 3.563401, 3.577297, 3.584789, 3.586182, 3.582875, 
    3.576069, 3.56386, 3.547252, 3.529593, 3.512286, 3.496281, 3.483225, 
    3.472822, 3.464873, 3.457127, 3.45038, 3.445835, 3.441642, 3.437099, 
    3.43151, 3.421119, 3.393933, 3.342204, 3.275828, 3.210947, 3.147114, 
    3.08138, 3.023849, 2.970258, 2.916667, 2.880167, 2.851558, 2.830498, 
    2.798253, 2.720733, 2.578195, 2.384126, 2.169409, 1.947044, 1.747046, 
    1.600908, 1.506935, 1.485025, 1.504017, 1.55511, 1.641901, 1.772184, 
    1.933627, 2.101326, 2.280238, 2.477116, 2.667343, 2.82891, 2.979613, 
    3.113901, 3.228035, 3.313115, 3.378244, 3.438373, 2.972605, 0.8904777, 
    1.267941, 3.433572, 3.645059,
  3.656947, 3.687767, 3.744553, 3.792783, 3.818811, 3.815778, 3.795686, 
    3.776392, 3.760099, 3.746603, 3.733858, 3.72416, 3.717113, 3.712515, 
    3.710267, 3.710117, 3.710117, 3.710117, 3.710117, 3.710117, 3.710117, 
    3.710117, 3.708967, 3.705418, 3.700118, 3.69377, 3.684422, 3.672274, 
    3.660127, 3.64588, 3.628334, 3.612688, 3.59989, 3.588844, 3.579195, 
    3.571146, 3.566398, 3.565149, 3.567897, 3.574596, 3.582645, 3.592443, 
    3.60484, 3.619737, 3.635133, 3.65088, 3.665476, 3.678273, 3.69112, 
    3.703967, 3.718612, 3.733558, 3.747602, 3.762698, 3.78074, 3.801033, 
    3.820327, 3.837872, 3.854365, 3.867909, 3.878307, 3.886254, 3.892451, 
    3.8965, 3.8978, 3.89805, 3.89805, 3.898049, 3.898049, 3.897349, 3.8961, 
    3.896001, 3.907549, 3.949544, 4.048735, 4.211272, 4.417512, 4.670304, 
    4.995096, 5.370936, 5.75324, 6.099508, 6.398029, 6.640226, 6.850775, 
    4.554237, 0.3533471, 0, 0, 0, 0, 0, 0, 0, 0.247323, 2.471287, 2.460525, 
    2.446973, 4.656287, 4.816091, 4.702869, 4.604704, 4.512492, 4.416836, 
    4.325838, 4.236946, 4.160659, 4.097915, 4.054866, 4.022316, 3.997068, 
    3.979918, 3.970618, 3.964467, 3.959117, 3.954217, 3.950867, 3.947867, 
    3.945515, 3.942962, 3.942109, 3.941254, 3.945687, 3.954066, 3.967544, 
    3.997477, 4.046116, 4.090959, 4.122258, 4.13676, 4.130119, 4.094343, 
    4.029576, 3.900778, 3.675151, 3.41062, 3.169829, 2.95773, 2.790376, 
    2.669166, 2.586247, 2.539021, 2.56102, 2.635206, 2.714493, 2.783634, 
    2.834331, 2.842882, 2.836235, 2.81944, 2.791045, 2.7598, 2.7505, 2.77688, 
    2.869241, 2.963631, 3.035578, 3.102276, 3.177519, 3.258916, 3.335118, 
    3.395923, 3.426897, 3.402378, 3.389527, 3.391378, 3.40703, 3.431633, 
    3.459288, 3.489743, 3.524096, 3.558706, 3.588814, 3.616823, 3.645679, 
    3.715056, 3.966198, 4.472488, 5.230285, 6.042401, 6.77418, 7.483559, 
    8.234992, 8.966439, 9.554943, 9.938418, 9.962412, 9.599905, 8.915567, 
    8.182578, 7.399038, 6.628488, 5.930072, 5.255437, 4.562327, 3.971505, 
    3.668111, 3.61884, 3.613776, 3.614123, 3.614327, 3.612092, 3.598825, 
    3.577275, 3.55973, 3.549533, 3.543727, 3.53376, 3.521882, 3.51035, 
    3.500112, 3.490071, 3.481175, 3.468777, 3.452873, 3.447672, 3.457668, 
    3.476764, 3.503059, 3.529004, 3.552399, 3.575795, 3.60054, 3.623735, 
    3.641631, 3.652524, 3.656268, 3.653762, 3.646604, 3.635244, 3.618336, 
    3.596878, 3.57482, 3.554165, 3.534809, 3.519255, 3.507804, 3.499502, 
    3.492601, 3.487605, 3.486311, 3.486068, 3.485676, 3.485183, 3.479843, 
    3.460507, 3.420328, 3.367151, 3.311666, 3.255828, 3.197489, 3.147496, 
    3.098454, 3.048709, 3.011456, 2.978048, 2.953696, 2.928316, 2.706176, 
    1.704437, 1.860786, 1.088889, 1.835363, 1.719806, 1.559693, 1.458741, 
    1.436097, 1.449887, 1.496678, 1.578118, 1.69855, 1.852831, 2.01712, 
    2.198216, 2.403218, 2.60418, 2.775398, 2.926647, 3.053381, 3.158465, 
    3.232846, 3.286928, 3.335507, 2.864928, 0.8399574, 0, 1.783034, 3.589793,
  3.622433, 3.664804, 3.741888, 3.80817, 3.849295, 3.855059, 3.839617, 
    3.824274, 3.811329, 3.800484, 3.790238, 3.782091, 3.776845, 3.772995, 
    3.771195, 3.771096, 3.771096, 3.771095, 3.771096, 3.771096, 3.771096, 
    3.771095, 3.769996, 3.767046, 3.762348, 3.756599, 3.748451, 3.738055, 
    3.727356, 3.71491, 3.699764, 3.686117, 3.67487, 3.665372, 3.656273, 
    3.649275, 3.645126, 3.644126, 3.646376, 3.652274, 3.659623, 3.668371, 
    3.679269, 3.692266, 3.705612, 3.719308, 3.732006, 3.743303, 3.75435, 
    3.765396, 3.777192, 3.789788, 3.801084, 3.813428, 3.827673, 3.843615, 
    3.859309, 3.873251, 3.886396, 3.897293, 3.905537, 3.912036, 3.916934, 
    3.919982, 3.921282, 3.921532, 3.921532, 3.921532, 3.921532, 3.920832, 
    3.920084, 3.920183, 3.93028, 3.968722, 4.06161, 4.216296, 4.415732, 
    4.662771, 4.981909, 5.350895, 5.730682, 6.078621, 6.386734, 6.628635, 
    6.839186, 2.077331, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.219956, 
    3.149152, 4.76585, 4.658132, 4.55917, 4.460014, 4.370317, 4.287279, 
    4.217589, 4.159399, 4.116599, 4.084299, 4.059047, 4.041747, 4.032095, 
    4.025244, 4.019644, 4.015195, 4.011845, 4.008845, 4.005995, 4.002645, 
    4.000594, 3.997843, 3.996189, 3.997133, 4.002576, 4.025519, 4.069213, 
    4.110559, 4.141307, 4.157361, 4.155168, 4.130532, 4.081855, 3.980699, 
    3.794011, 3.567525, 3.359078, 3.175476, 3.033669, 2.934154, 2.867981, 
    2.831544, 2.851588, 2.916722, 2.988709, 3.05265, 3.100494, 3.109294, 
    3.104447, 3.090502, 3.066462, 3.038869, 3.031726, 3.05363, 3.126852, 
    3.190105, 3.234361, 3.273718, 3.317616, 3.368062, 3.416413, 3.44901, 
    3.455452, 3.417425, 3.403271, 3.404869, 3.421069, 3.447071, 3.476773, 
    3.509275, 3.545227, 3.58338, 3.618037, 3.650594, 3.683553, 3.740331, 
    3.931683, 4.37678, 5.074073, 5.849631, 6.558825, 7.246321, 7.976164, 
    8.691512, 9.296166, 9.737441, 9.830338, 9.518923, 8.858241, 8.143291, 
    7.381004, 6.628114, 5.940215, 5.264897, 4.556754, 3.943847, 3.627997, 
    3.571844, 3.563546, 3.562945, 3.564497, 3.567099, 3.56947, 3.572054, 
    3.579838, 3.593568, 3.606941, 3.610054, 3.605909, 3.600011, 3.594013, 
    3.586364, 3.578162, 3.565409, 3.547405, 3.540199, 3.548147, 3.564842, 
    3.588087, 3.611382, 3.632379, 3.653024, 3.675019, 3.695464, 3.710358, 
    3.718255, 3.718247, 3.71169, 3.700082, 3.683574, 3.661313, 3.634654, 
    3.608297, 3.584742, 3.562839, 3.545437, 3.533034, 3.524134, 3.517686, 
    3.51484, 3.516795, 3.520501, 3.524559, 3.527865, 3.527573, 3.515735, 
    3.486402, 3.44487, 3.398135, 3.350351, 3.298813, 3.253673, 3.209432, 
    3.163439, 3.125841, 3.088887, 2.283034, 1.489455, 1.309919, 0.3907633, 
    0.6512722, 0, 0.8601078, 0.8507398, 1.138875, 1.444358, 1.426468, 
    1.44103, 1.484277, 1.558662, 1.667541, 1.808413, 1.962188, 2.136619, 
    2.337453, 2.538241, 2.712635, 2.862882, 2.984529, 3.080063, 3.144347, 
    3.18833, 3.225561, 3.263594, 1.642644, 1.174741, 1.883144, 3.525033,
  3.584941, 3.638859, 3.73534, 3.819417, 3.873285, 3.885142, 3.874099, 
    3.863006, 3.853061, 3.844865, 3.837169, 3.831023, 3.827325, 3.824327, 
    3.822677, 3.822577, 3.822577, 3.822577, 3.822577, 3.822577, 3.822577, 
    3.822577, 3.821527, 3.819179, 3.81533, 3.810432, 3.803033, 3.794485, 
    3.785338, 3.77444, 3.761694, 3.750048, 3.740349, 3.732052, 3.724255, 
    3.718407, 3.714607, 3.713607, 3.715807, 3.720956, 3.727103, 3.734651, 
    3.744199, 3.755296, 3.766592, 3.778239, 3.789437, 3.798833, 3.80808, 
    3.816977, 3.826624, 3.836669, 3.845315, 3.85466, 3.865554, 3.877047, 
    3.88879, 3.899136, 3.90898, 3.917525, 3.923272, 3.928319, 3.931967, 
    3.934316, 3.935266, 3.935515, 3.935515, 3.935515, 3.935515, 3.935166, 
    3.934565, 3.934515, 3.943013, 3.977056, 4.06154, 4.206221, 4.396203, 
    4.635188, 4.945821, 5.305755, 5.677641, 6.023294, 6.340211, 6.586625, 
    6.797424, 4.529605, 0.3521039, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.459668, 4.811304, 4.694039, 4.590535, 4.492445, 4.406303, 4.329613, 
    4.266124, 4.213482, 4.171836, 4.138934, 4.112582, 4.09443, 4.083578, 
    4.075876, 4.069674, 4.065173, 4.061572, 4.058672, 4.056023, 4.052974, 
    4.050574, 4.047474, 4.044674, 4.043873, 4.046069, 4.065414, 4.10586, 
    4.145759, 4.17631, 4.194263, 4.19597, 4.179432, 4.144605, 4.069197, 
    3.918455, 3.728113, 3.551065, 3.39501, 3.278301, 3.198532, 3.146954, 
    3.117764, 3.133305, 3.18909, 3.253177, 3.310614, 3.354207, 3.362555, 
    3.359659, 3.349416, 3.331376, 3.309839, 3.3082, 3.333858, 3.392788, 
    3.431052, 3.45287, 3.468735, 3.483088, 3.502237, 3.520184, 3.519927, 
    3.488007, 3.431673, 3.415018, 3.415165, 3.430663, 3.457213, 3.487513, 
    3.520613, 3.557263, 3.596965, 3.634017, 3.66967, 3.706826, 3.751356, 
    3.885915, 4.271418, 4.905162, 5.621857, 6.287519, 6.933936, 7.620699, 
    8.295666, 8.89048, 9.360051, 9.495749, 9.23388, 8.621974, 7.950568, 
    7.235212, 6.528455, 5.881591, 5.241025, 4.561412, 3.964822, 3.656095, 
    3.601453, 3.594054, 3.593705, 3.595856, 3.600109, 3.609412, 3.623818, 
    3.643123, 3.668031, 3.689686, 3.697289, 3.695391, 3.690693, 3.684991, 
    3.677191, 3.667889, 3.652985, 3.632832, 3.623229, 3.629125, 3.643421, 
    3.663617, 3.684262, 3.702858, 3.720753, 3.739999, 3.757694, 3.76959, 
    3.774484, 3.770679, 3.75947, 3.743313, 3.722256, 3.693846, 3.661285, 
    3.630779, 3.604826, 3.58042, 3.561618, 3.548267, 3.539468, 3.53432, 
    3.534576, 3.540033, 3.547238, 3.554542, 3.561247, 3.564802, 3.558208, 
    3.536867, 3.503478, 3.463585, 3.423345, 3.378705, 3.339466, 3.301127, 
    3.260687, 3.226246, 3.190554, 1.585828, 0, 0, 0, 0, 0, 0, 0, 0.7427689, 
    1.458238, 1.44374, 1.462793, 1.505043, 1.57143, 1.665803, 1.787919, 
    1.924436, 2.084758, 2.273533, 2.464412, 2.631344, 2.777282, 2.89748, 
    2.986224, 3.043566, 3.080259, 3.109651, 2.675169, 1.600213, 2.785706, 
    3.359813, 3.458294,
  3.551952, 3.616368, 3.730193, 3.828763, 3.891273, 3.906879, 3.899985, 
    3.892239, 3.885294, 3.879748, 3.874652, 3.870806, 3.868057, 3.866008, 
    3.86511, 3.86506, 3.86506, 3.86506, 3.86506, 3.86506, 3.86506, 3.86506, 
    3.86406, 3.862311, 3.859062, 3.854762, 3.848515, 3.841417, 3.833819, 
    3.824472, 3.814126, 3.804479, 3.796332, 3.789233, 3.783135, 3.778187, 
    3.775089, 3.774089, 3.776188, 3.780286, 3.785335, 3.791433, 3.799631, 
    3.808827, 3.818074, 3.827671, 3.837368, 3.845016, 3.852563, 3.859411, 
    3.866606, 3.874051, 3.880048, 3.886393, 3.894038, 3.901983, 3.909778, 
    3.916872, 3.923066, 3.928912, 3.932508, 3.935755, 3.938003, 3.939651, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.939551, 3.939502, 3.946749, 
    3.976041, 4.051778, 4.184509, 4.363441, 4.591722, 4.891304, 5.240335, 
    5.602618, 5.949518, 6.275681, 6.524928, 6.735126, 6.932026, 3.543781, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2510433, 3.2216, 4.825493, 4.707355, 
    4.606868, 4.515931, 4.435792, 4.365101, 4.30746, 4.259015, 4.22007, 
    4.18672, 4.158566, 4.138463, 4.125809, 4.116656, 4.109154, 4.103652, 
    4.100052, 4.097503, 4.095054, 4.092454, 4.090054, 4.087305, 4.084655, 
    4.083405, 4.084054, 4.101151, 4.139449, 4.178597, 4.209046, 4.228297, 
    4.233653, 4.224012, 4.201579, 4.150466, 4.033968, 3.879175, 3.734027, 
    3.606374, 3.515365, 3.455248, 3.41742, 3.395332, 3.406477, 3.45216, 
    3.506893, 3.55638, 3.59447, 3.601668, 3.600871, 3.59553, 3.584492, 
    3.571908, 3.578423, 3.611538, 3.656765, 3.675638, 3.680615, 3.676837, 
    3.664849, 3.652949, 3.637695, 3.598628, 3.519144, 3.445772, 3.425265, 
    3.422609, 3.436706, 3.462404, 3.491751, 3.524249, 3.560297, 3.599945, 
    3.636994, 3.674747, 3.715202, 3.7531, 3.844702, 4.172161, 4.741709, 
    5.394057, 6.000805, 6.588298, 7.211229, 7.823059, 8.373605, 8.8325, 
    8.983554, 8.764159, 8.21271, 7.604921, 6.958048, 6.320477, 5.73845, 
    5.162724, 4.552059, 4.005159, 3.716349, 3.665504, 3.659508, 3.659858, 
    3.66286, 3.66796, 3.678862, 3.694611, 3.715611, 3.74256, 3.764706, 
    3.772906, 3.771606, 3.767155, 3.761406, 3.752854, 3.742854, 3.727256, 
    3.706808, 3.696759, 3.700606, 3.712502, 3.730098, 3.747994, 3.763839, 
    3.778985, 3.795481, 3.810577, 3.819822, 3.821368, 3.814062, 3.798255, 
    3.777547, 3.75194, 3.718283, 3.679925, 3.645519, 3.617415, 3.590914, 
    3.570611, 3.557011, 3.548662, 3.545416, 3.549121, 3.55953, 3.569935, 
    3.579489, 3.588341, 3.594795, 3.593205, 3.578367, 3.551176, 3.516084, 
    3.480992, 3.442701, 3.409811, 3.377119, 2.157683, 1.630116, 1.613469, 
    0.8021988, 0, 0, 0, 0, 0, 0, 0, 0.7560238, 1.484748, 1.470748, 1.490597, 
    1.531543, 1.590331, 1.669007, 1.770174, 1.88594, 2.026554, 2.196568, 
    2.370284, 2.52381, 2.662648, 2.780944, 2.867343, 2.919784, 2.953332, 
    2.835474, 1.071791, 1.565426, 3.183713, 3.282386, 3.398312,
  3.525465, 3.598276, 3.726395, 3.834906, 3.903014, 3.922119, 3.918423, 
    3.913477, 3.909532, 3.906285, 3.903538, 3.901088, 3.899541, 3.898343, 
    3.898043, 3.898043, 3.898043, 3.898043, 3.898043, 3.898043, 3.898043, 
    3.898043, 3.897043, 3.895593, 3.893295, 3.889597, 3.884949, 3.87905, 
    3.872802, 3.865506, 3.857108, 3.849412, 3.843064, 3.837417, 3.832167, 
    3.82847, 3.826321, 3.825572, 3.82712, 3.829969, 3.834067, 3.839216, 
    3.845613, 3.85286, 3.860307, 3.868105, 3.875501, 3.882049, 3.887797, 
    3.892844, 3.897591, 3.902437, 3.906284, 3.910131, 3.914576, 3.919571, 
    3.924017, 3.928113, 3.93151, 3.934606, 3.936755, 3.938554, 3.939501, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.945998, 3.970191, 
    4.037477, 4.158008, 4.324688, 4.540368, 4.826847, 5.163176, 5.513355, 
    5.860404, 6.194165, 6.444171, 6.651865, 6.847662, 6.326224, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.2494854, 2.475863, 2.404382, 2.347207, 4.378387, 
    4.531518, 4.459031, 4.394239, 4.341346, 4.296101, 4.259553, 4.227206, 
    4.197054, 4.174199, 4.159044, 4.14774, 4.138638, 4.131986, 4.128035, 
    4.125484, 4.123034, 4.120584, 4.118535, 4.116135, 4.113635, 4.112235, 
    4.112034, 4.126177, 4.159464, 4.194152, 4.221494, 4.239389, 4.246739, 
    4.242396, 4.230763, 4.200943, 4.120051, 4.004767, 3.895477, 3.80018, 
    3.737426, 3.698911, 3.676136, 3.662801, 3.671448, 3.706282, 3.749864, 
    3.789947, 3.821236, 3.826583, 3.828839, 3.829349, 3.827565, 3.826083, 
    3.843402, 3.881001, 3.910827, 3.916261, 3.909096, 3.889675, 3.85389, 
    3.230525, 1.843849, 1.813792, 3.361578, 3.458568, 3.433761, 3.427506, 
    3.4387, 3.461945, 3.489242, 3.519687, 3.554285, 3.592633, 3.62848, 
    3.666427, 3.708729, 3.747232, 3.812699, 4.083212, 4.584651, 5.165332, 
    5.699508, 6.211279, 6.750037, 7.276142, 7.750209, 8.165176, 8.303485, 
    8.115376, 7.635247, 7.106482, 6.548982, 6.002787, 5.506832, 5.018228, 
    4.501635, 4.033179, 3.77709, 3.729546, 3.725398, 3.726499, 3.730099, 
    3.734748, 3.745195, 3.75914, 3.778084, 3.802277, 3.821772, 3.828718, 
    3.827067, 3.822267, 3.817269, 3.809122, 3.800326, 3.786629, 3.768685, 
    3.759587, 3.762336, 3.772434, 3.787129, 3.802375, 3.815572, 3.828068, 
    3.841513, 3.853959, 3.860555, 3.859451, 3.848546, 3.82884, 3.804035, 
    3.773979, 3.735771, 3.692866, 3.655011, 3.625209, 3.597406, 3.576106, 
    2.669787, 1.770823, 1.769776, 1.772418, 2.680794, 3.591633, 3.602934, 
    3.613137, 3.621538, 3.626448, 3.619361, 3.599173, 3.570084, 3.540644, 
    3.509105, 3.482164, 2.581212, 1.723642, 0.3442486, 1.194689, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3805836, 1.275918, 1.49889, 1.520145, 1.557538, 1.607874, 
    1.6712, 1.751769, 1.845936, 1.964603, 2.111617, 2.263483, 2.399303, 
    2.526027, 2.638112, 2.720952, 2.771003, 2.807063, 2.697878, 1.422282, 
    2.238622, 3.096215, 3.214251, 3.347881,
  3.505976, 3.584383, 3.722193, 3.837602, 3.910258, 3.932161, 3.930513, 
    3.928568, 3.92677, 3.924972, 3.923974, 3.922726, 3.922027, 3.921678, 
    3.921528, 3.921528, 3.921528, 3.921528, 3.921528, 3.921528, 3.921528, 
    3.921528, 3.920578, 3.919579, 3.917779, 3.91528, 3.911932, 3.907335, 
    3.902537, 3.897039, 3.890593, 3.884845, 3.880298, 3.8761, 3.872153, 
    3.869453, 3.867553, 3.867053, 3.868153, 3.870653, 3.873552, 3.877499, 
    3.882097, 3.887393, 3.893041, 3.899038, 3.904536, 3.909584, 3.913531, 
    3.916778, 3.920027, 3.922975, 3.925022, 3.927069, 3.929017, 3.930963, 
    3.93301, 3.935058, 3.936505, 3.937804, 3.939002, 3.93985, 3.94, 3.94, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.944748, 3.964191, 
    4.021827, 4.129707, 4.282686, 4.483963, 4.75534, 5.076565, 5.412844, 
    5.752623, 6.090525, 6.343428, 6.547071, 6.740568, 6.228233, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4.141939, 4.540058, 4.476271, 4.41738, 
    4.368737, 4.325889, 4.290791, 4.259541, 4.228843, 4.202787, 4.184282, 
    4.170328, 4.158722, 4.15067, 4.145768, 4.142267, 4.139566, 4.137567, 
    4.135767, 4.133617, 4.131569, 4.130069, 4.128767, 4.137257, 4.160941, 
    4.186174, 4.206462, 4.219753, 4.225498, 4.224501, 4.220708, 4.207829, 
    4.165135, 4.094052, 4.025414, 3.96657, 3.934967, 3.920354, 3.913828, 
    3.911496, 3.919798, 3.944082, 3.975063, 4.003594, 4.027985, 4.032285, 
    4.038541, 4.046554, 4.057074, 4.069497, 4.096608, 4.129295, 4.145277, 
    4.141916, 4.126557, 4.095442, 3.833864, 1.362379, 0, 0, 1.590954, 
    1.727052, 1.713691, 1.709753, 3.264389, 3.456188, 3.480482, 3.508279, 
    3.540324, 3.57667, 3.610717, 3.646864, 3.688812, 3.728362, 3.771929, 
    3.983439, 4.408119, 4.903234, 5.354459, 5.781182, 6.22539, 6.655549, 
    7.041918, 7.401735, 7.515403, 7.349378, 6.950701, 6.512137, 6.05549, 
    5.611591, 5.211534, 4.819176, 4.406932, 4.036532, 3.829317, 3.787578, 
    3.784379, 3.785829, 3.788326, 3.791171, 3.798165, 3.807907, 3.821798, 
    3.840238, 3.854928, 3.860026, 3.858277, 3.854781, 3.851785, 3.846491, 
    3.841298, 3.831907, 3.818916, 3.81172, 3.81432, 3.822867, 3.834663, 
    3.847109, 3.857554, 3.867651, 3.878448, 3.887843, 3.89204, 3.888185, 
    3.874031, 3.851077, 3.823022, 3.789368, 3.747263, 3.700758, 3.661007, 
    3.630005, 3.600954, 3.578953, 1.784751, 0, 0, 0, 0.8963541, 1.795849, 
    1.801682, 2.356929, 3.646035, 3.655288, 3.657303, 3.645967, 3.624579, 
    3.602843, 3.579857, 3.019233, 0.8739204, 1.207785, 0.3421899, 1.187545, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.059467, 1.524587, 1.547387, 1.579277, 
    1.61921, 1.666938, 1.727208, 1.799676, 1.896995, 2.02071, 2.150227, 
    2.266048, 2.375923, 2.478359, 2.55821, 2.614527, 2.661751, 2.71092, 
    2.782493, 2.887372, 3.019204, 3.160336, 3.311359,
  3.492986, 3.574539, 3.717745, 3.838501, 3.914253, 3.937855, 3.937557, 
    3.937357, 3.936759, 3.936161, 3.936011, 3.935862, 3.935513, 3.935513, 
    3.935513, 3.935513, 3.935513, 3.935513, 3.935513, 3.935513, 3.935513, 
    3.935513, 3.935014, 3.934214, 3.933016, 3.931467, 3.929017, 3.92627, 
    3.923023, 3.919075, 3.915028, 3.911282, 3.908283, 3.905285, 3.902987, 
    3.900587, 3.899289, 3.89904, 3.899638, 3.901637, 3.903786, 3.906284, 
    3.909533, 3.91293, 3.916527, 3.920475, 3.924471, 3.927619, 3.930017, 
    3.932066, 3.933964, 3.935311, 3.936261, 3.936859, 3.937457, 3.937657, 
    3.938255, 3.938853, 3.939053, 3.939502, 3.939751, 3.94, 3.94, 3.94, 3.94, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.943499, 3.958542, 4.00663, 
    4.10111, 4.239189, 4.424515, 4.679241, 4.983165, 5.303591, 5.634536, 
    5.975693, 6.228741, 6.428085, 6.619031, 6.116845, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 2.291733, 4.544906, 4.49077, 4.438029, 4.393585, 
    4.352839, 4.319041, 4.288392, 4.258443, 4.228889, 4.206783, 4.189227, 
    4.174774, 4.16472, 4.158267, 4.153566, 4.150566, 4.148414, 4.146514, 
    4.144614, 4.143014, 4.141565, 4.139765, 4.141455, 4.153989, 4.168776, 
    4.180463, 4.187955, 4.190351, 4.19045, 4.189452, 4.186359, 4.174141, 
    4.144695, 4.11635, 4.092896, 4.083063, 4.081966, 4.083415, 4.086263, 
    4.091502, 4.102229, 4.116601, 4.132733, 4.152128, 4.168412, 4.189398, 
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    1.398036, 1.39878, 1.423227, 1.47143, 1.55219, 1.67606, 1.835183, 
    2.008756, 2.195979, 2.409755, 2.637079, 2.862842, 3.082992, 3.293386, 
    3.473975,
  3.712047, 3.765938, 3.849422, 3.905858, 3.933, 3.93985, 3.94, 3.94, 3.94, 
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    3.94, 3.94, 3.94, 3.94, 3.94, 3.940349, 3.946247, 3.966092, 4.007983, 
    4.077869, 4.194602, 4.360683, 4.546666, 4.758545, 5.012573, 5.242354, 
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    2.659088, 2.54473, 2.436994, 2.369814, 2.412125, 2.573432, 2.772743, 
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    3.9385, 3.931751, 3.916003, 3.891906, 3.864009, 3.831562, 3.792065, 
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    1.353967, 1.351466, 1.375519, 1.428977, 1.520239, 1.660255, 1.838524, 
    2.030791, 2.236709, 2.470727, 2.715641, 2.947592, 3.165889, 3.369179, 
    3.539117,
  3.750534, 3.796025, 3.865111, 3.910252, 3.931998, 3.938698, 3.939449, 
    3.939499, 3.939749, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.921737, 
    3.859707, 3.750375, 3.605342, 3.468862, 3.332381, 3.1879, 3.080868, 
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    4.473682, 4.667716, 4.902949, 5.124801, 5.265896, 5.401737, 5.553881, 
    3.967165, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.277887, 
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    2.556902, 2.807199, 3.03559, 3.247181, 3.44047, 3.597305,
  3.77752, 3.815314, 3.872303, 3.909347, 3.928495, 3.935395, 3.936946, 
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    2.308214, 0, 0, 1.419415, 2.681036, 2.545001, 2.455873, 2.390098, 
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    1.326347, 1.370611, 1.447275, 1.564538, 1.736954, 1.95032, 2.173583, 
    2.404542, 2.655344, 2.901739, 3.12108, 3.321517, 3.502704, 3.64469,
  3.793009, 3.824855, 3.872548, 3.904243, 3.921742, 3.929443, 3.932445, 
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    3.897489, 3.777262, 3.603882, 3.394804, 3.200127, 3.006502, 2.802227, 
    2.640353, 2.543536, 2.55804, 2.681511, 2.855983, 3.048104, 3.241278, 
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    3.942201, 3.943052, 3.944303, 3.945504, 3.947054, 3.951006, 3.963456, 
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    4.947533, 5.080678, 5.200522, 5.338917, 5.473716, 2.768707, 0, 0, 0, 0, 
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    0, 0, 0, 0, 0, 1.586986, 3.177822, 3.18632, 3.194968, 3.205965, 3.22291, 
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    2.454924, 2.446544, 2.5116, 2.666593, 2.855583, 3.061972, 3.249561, 
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    3.935701, 3.925203, 3.908705, 3.888507, 3.86516, 3.836614, 3.810217, 
    3.789767, 3.767218, 3.740718, 2.605062, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.327104, 1.385216, 1.47628, 1.607593, 1.795457, 2.023819, 2.257827, 
    2.495681, 2.74703, 2.987975, 3.196564, 3.383801, 3.550737, 3.678725,
  3.799002, 3.826298, 3.867243, 3.89514, 3.91174, 3.920992, 3.926394, 
    3.930546, 3.933997, 3.936399, 3.938449, 3.93965, 3.94, 3.94, 3.94, 3.94, 
    3.88574, 3.736614, 3.531887, 3.29161, 3.068885, 2.848613, 2.61789, 
    2.432871, 2.319558, 2.338563, 2.484583, 2.683054, 2.897624, 3.114642, 
    3.349812, 3.573983, 3.73345, 3.838313, 3.888973, 3.910679, 3.924236, 
    3.933241, 3.937947, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 
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    3.94, 3.94, 3.94, 3.94, 3.94025, 3.940501, 3.941401, 3.941801, 3.943002, 
    3.944203, 3.945953, 3.947754, 3.950255, 3.953106, 3.959409, 3.972961, 
    3.997761, 4.03901, 4.111605, 4.22495, 4.359493, 4.514335, 4.701169, 
    4.884803, 5.013199, 5.126544, 5.26009, 5.392437, 2.727719, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.346856, 4.476771, 
    4.443372, 4.405622, 4.37032, 4.341519, 4.312018, 4.276266, 4.243262, 
    4.217758, 4.197155, 4.181053, 4.173252, 4.17125, 4.1703, 4.17, 4.17, 
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    4.169499, 4.169249, 4.168648, 4.168497, 4.175946, 4.194244, 4.225142, 
    4.273338, 4.336133, 4.406479, 4.488724, 4.58902, 4.688215, 4.761211, 
    4.822658, 4.888657, 3.45867, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.573239, 3.149627, 3.156376, 3.163224, 3.170722, 3.182768, 3.042048, 
    1.118468, 0, 0, 0.2728515, 2.696569, 2.598038, 2.556209, 2.541282, 
    2.554651, 2.626858, 2.775002, 2.95204, 3.145178, 3.319315, 3.487152, 
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    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.9395, 3.936551, 
    3.928153, 3.913954, 3.896507, 3.875909, 3.850611, 3.826864, 3.807014, 
    3.785065, 3.758665, 3.177195, 0.9331422, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2455321, 0.8126801, 
    1.360313, 1.569782, 1.530133, 1.484233, 1.433783, 1.377983, 1.329184, 
    1.300989, 1.299746, 1.333207, 1.404518, 1.509279, 1.654291, 1.855401, 
    2.095561, 2.336816, 2.577718, 2.827215, 3.060908, 3.258298, 3.432587, 
    3.584875, 3.699864,
  3.796494, 3.820292, 3.855938, 3.881637, 3.898488, 3.909739, 3.917892, 
    3.924494, 3.929745, 3.933597, 3.936898, 3.938799, 3.939749, 3.94, 3.94, 
    3.94, 3.88, 3.708336, 3.472911, 3.202086, 2.952163, 2.707143, 2.452224, 
    2.24766, 2.120599, 2.137391, 2.302204, 2.524623, 2.761142, 2.998708, 
    3.254775, 3.499288, 3.676452, 3.794813, 3.85582, 3.885177, 3.904982, 
    3.920237, 3.931393, 3.938598, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.940351, 
    3.940501, 3.940501, 3.940501, 3.940501, 3.940952, 3.941002, 3.941502, 
    3.942002, 3.942952, 3.943953, 3.946003, 3.948054, 3.950504, 3.953406, 
    3.957007, 3.962009, 3.971411, 3.988065, 4.014518, 4.055319, 4.124567, 
    4.232813, 4.359006, 4.501994, 4.670729, 4.839218, 4.963715, 5.071061, 
    5.200256, 5.330956, 2.696978, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0.6740192, 3.366374, 4.466067, 4.428969, 
    4.392518, 4.362517, 4.332166, 4.292813, 4.25586, 4.226757, 4.202905, 
    4.184103, 4.17445, 4.1715, 4.1703, 4.17, 4.17, 4.17, 4.17, 4.17, 4.17, 
    4.17, 4.17, 4.17, 4.17, 4.17, 4.16965, 4.168898, 4.167047, 4.164243, 
    4.160038, 4.155932, 4.158726, 4.171718, 4.196259, 4.23735, 4.293594, 
    4.358439, 4.436237, 4.532434, 4.62683, 4.695928, 4.756979, 4.582629, 
    1.718067, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.561992, 
    3.126433, 3.131932, 3.137331, 3.140977, 3.147772, 3.163118, 2.22108, 0, 
    0, 0.1366208, 1.758864, 2.660318, 2.638932, 2.644846, 2.677961, 2.756865, 
    2.897007, 3.059895, 3.23693, 3.395817, 3.547702, 3.702987, 3.82792, 
    3.911005, 3.939499, 3.93995, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.9395, 3.937251, 3.930201, 3.918203, 
    3.903505, 3.885307, 3.862509, 3.839859, 3.820259, 3.798559, 3.771608, 
    3.744406, 2.792805, 0.5569813, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4858427, 1.608477, 1.581729, 1.548731, 
    1.510133, 1.464734, 1.415135, 1.360036, 1.313388, 1.290993, 1.298351, 
    1.34331, 1.427671, 1.544531, 1.700939, 1.912848, 2.162054, 2.408057, 
    2.649857, 2.895403, 3.120345, 3.306535, 3.468224, 3.607414, 3.710155,
  3.785989, 3.806987, 3.838634, 3.863283, 3.881235, 3.894987, 3.90639, 
    3.916093, 3.923495, 3.929496, 3.934398, 3.937449, 3.938999, 3.93985, 
    3.94, 3.94, 3.87975, 3.692437, 3.427415, 3.127142, 2.851923, 2.584056, 
    2.30804, 2.086878, 1.947869, 1.956213, 2.135824, 2.381042, 2.638408, 
    2.894722, 3.168134, 3.428195, 3.619956, 3.749764, 3.819771, 3.856677, 
    3.882732, 3.904237, 3.921892, 3.935447, 3.94, 3.94, 3.94, 3.94, 3.94, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94015, 
    3.940501, 3.94085, 3.941451, 3.941651, 3.942002, 3.942352, 3.943402, 
    3.943652, 3.944503, 3.945354, 3.946554, 3.948605, 3.951005, 3.953755, 
    3.957056, 3.961056, 3.966258, 3.974261, 3.987915, 4.009119, 4.039272, 
    4.082376, 4.150976, 4.255373, 4.371514, 4.500954, 4.653292, 4.808932, 
    4.93048, 5.032776, 5.157122, 5.287122, 2.675236, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.252006, 4.484763, 
    4.448413, 4.411563, 4.380262, 4.349312, 4.30686, 4.266608, 4.234506, 
    4.208004, 4.187052, 4.175301, 4.171751, 4.1703, 4.17, 4.16985, 4.169249, 
    4.168648, 4.167997, 4.167196, 4.166245, 4.165292, 4.164041, 4.16334, 
    4.162488, 4.160937, 4.158285, 4.152831, 4.144726, 4.134521, 4.123365, 
    4.117808, 4.121201, 4.135442, 4.165032, 4.212424, 4.271419, 4.344765, 
    4.434958, 4.522851, 4.586895, 4.647793, 4.241454, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1.552743, 3.107586, 3.111986, 3.115934, 
    3.116983, 3.119782, 3.130579, 2.201488, 0, 0, 0, 0.8302764, 2.759843, 
    2.7507, 2.770359, 2.817667, 2.899367, 3.027956, 3.173841, 3.332726, 
    3.474812, 3.609549, 3.745433, 3.850266, 3.915002, 3.936346, 3.936996, 
    3.937496, 3.937496, 3.937496, 3.937496, 3.937496, 3.937496, 3.937496, 
    3.937496, 3.937496, 3.937496, 3.937496, 3.937496, 3.937496, 3.937496, 
    3.937496, 3.937947, 3.937997, 3.937997, 3.938348, 3.938548, 3.938998, 
    3.938998, 3.939349, 3.939499, 3.939499, 3.938999, 3.937099, 3.9308, 
    3.920651, 3.908002, 3.892204, 3.871455, 3.849707, 3.830007, 3.807857, 
    3.779956, 3.750304, 3.71975, 2.399742, 1.823041, 1.796899, 1.774564, 
    0.5301907, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.07962625, 1.034226, 1.579727, 1.555979, 1.525631, 1.488582, 1.444734, 
    1.396335, 1.343036, 1.299539, 1.284496, 1.300953, 1.356962, 1.454172, 
    1.582281, 1.748188, 1.969194, 2.224799, 2.472799, 2.713097, 2.952691, 
    3.168133, 3.342524, 3.491714, 3.618905, 3.710396,
  3.766982, 3.78553, 3.814779, 3.83943, 3.858981, 3.876084, 3.891337, 
    3.904189, 3.913991, 3.922042, 3.928844, 3.933245, 3.935746, 3.937196, 
    3.937546, 3.937997, 3.877748, 3.683098, 3.395285, 3.068316, 2.77045, 
    2.482387, 2.188725, 1.953215, 1.804408, 1.805052, 1.989248, 2.252709, 
    2.528422, 2.800983, 3.088493, 3.36025, 3.562706, 3.702163, 3.780669, 
    3.824824, 3.857229, 3.885084, 3.90984, 3.929944, 3.938999, 3.94, 3.94, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 
    3.94005, 3.940651, 3.94125, 3.941501, 3.942451, 3.943301, 3.944502, 
    3.945703, 3.946953, 3.947804, 3.949254, 3.950705, 3.952605, 3.955606, 
    3.958256, 3.961607, 3.966007, 3.971159, 3.979011, 3.990714, 4.009919, 
    4.037124, 4.072779, 4.120333, 4.191737, 4.293335, 4.398777, 4.515769, 
    4.653708, 4.796999, 4.914996, 5.011641, 5.129935, 5.257632, 2.660491, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.126305, 3.818789, 4.461957, 4.425408, 4.393508, 4.361958, 4.317356, 
    4.274505, 4.240253, 4.211952, 4.189101, 4.17615, 4.172, 4.1703, 4.169499, 
    4.168548, 4.166497, 4.164095, 4.161443, 4.158091, 4.154488, 4.150535, 
    4.146533, 4.14323, 4.140228, 4.136526, 4.130122, 4.118817, 4.104463, 
    4.088007, 4.069302, 4.054895, 4.048438, 4.051429, 4.068219, 4.105912, 
    4.158907, 4.226253, 4.306143, 4.383534, 4.438376, 4.495673, 2.309042, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7730867, 2.629996, 
    3.097442, 3.100141, 3.101242, 3.104094, 3.111091, 2.188192, 0, 0, 0, 
    0.8662791, 2.884098, 2.881652, 2.909957, 2.968066, 3.049615, 3.162652, 
    3.288936, 3.428571, 3.552057, 3.668543, 3.784378, 3.868612, 3.914498, 
    3.928192, 3.928992, 3.929642, 3.929992, 3.929992, 3.929992, 3.929992, 
    3.929992, 3.929992, 3.929992, 3.929992, 3.929992, 3.929992, 3.929992, 
    3.929992, 3.929992, 3.930343, 3.930993, 3.931643, 3.931994, 3.932694, 
    3.933995, 3.935146, 3.935747, 3.936697, 3.937448, 3.937498, 3.936998, 
    3.935098, 3.929348, 3.920299, 3.908749, 3.89475, 3.875851, 3.854551, 
    3.834249, 3.811149, 3.782298, 3.749896, 3.715243, 3.676039, 3.628182, 
    3.568971, 3.513455, 2.237218, 0.1699049, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.548573, 0.8608028, 1.566322, 1.547223, 1.526726, 
    1.498577, 1.463179, 1.42123, 1.374732, 1.324235, 1.286641, 1.280498, 
    1.306556, 1.373964, 1.482872, 1.62128, 1.795735, 2.02354, 2.282791, 
    2.529789, 2.766286, 2.99853, 3.203772, 3.366263, 3.503204, 3.618946, 
    3.700439,
  3.738477, 3.755275, 3.783375, 3.808876, 3.830728, 3.85118, 3.870282, 
    3.886285, 3.898737, 3.908738, 3.91734, 3.923541, 3.927242, 3.929192, 
    3.930493, 3.931794, 3.872495, 3.678446, 3.383347, 3.052159, 2.750518, 
    2.46113, 2.168242, 1.922437, 1.76503, 1.758125, 1.93577, 2.201062, 
    2.474247, 2.743231, 3.022911, 3.288746, 3.498701, 3.646707, 3.733512, 
    3.784467, 3.823723, 3.859129, 3.892435, 3.921593, 3.936748, 3.94, 3.94, 
    3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.94, 3.9405, 
    3.94115, 3.942001, 3.942851, 3.944052, 3.945952, 3.948003, 3.950053, 
    3.952004, 3.953955, 3.956006, 3.958056, 3.961057, 3.964757, 3.968008, 
    3.971958, 3.977559, 3.984911, 3.996013, 4.012368, 4.038022, 4.072928, 
    4.115784, 4.17054, 4.247494, 4.34459, 4.440784, 4.547127, 4.672119, 
    4.802409, 4.912751, 5.002446, 4.851971, 2.619281, 1.325368, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.1465, 
    4.467451, 4.431551, 4.400002, 4.368452, 4.322852, 4.278551, 4.243001, 
    4.21375, 4.1897, 4.17635, 4.171499, 4.169449, 4.167849, 4.164597, 
    4.160745, 4.155843, 4.149389, 4.141685, 4.133732, 4.125078, 4.116324, 
    4.106066, 4.096709, 4.087003, 4.072145, 4.052487, 4.031182, 4.008127, 
    3.981721, 3.959216, 3.945413, 3.939308, 3.946754, 3.97655, 4.023645, 
    4.085092, 4.152833, 4.214169, 4.259864, 4.31186, 0.4325359, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.079617, 2.935429, 3.092597, 
    3.095249, 3.099299, 3.105451, 2.1826, 0, 0, 0, 0.9069302, 3.022353, 
    3.026158, 3.060562, 3.126165, 3.20411, 3.298146, 3.403481, 3.522115, 
    3.626301, 3.723838, 3.818873, 3.882158, 3.908744, 3.914689, 3.915939, 
    3.916639, 3.917239, 3.91749, 3.917489, 3.917489, 3.917489, 3.91749, 
    3.917489, 3.917489, 3.917489, 3.91749, 3.917489, 3.917489, 3.917489, 
    3.91819, 3.91904, 3.92029, 3.92124, 3.922541, 3.924942, 3.926942, 
    3.928743, 3.930193, 3.931394, 3.931494, 3.931244, 3.929594, 3.923894, 
    3.915445, 3.904746, 3.891596, 3.874196, 3.852747, 3.830996, 3.806445, 
    3.775292, 3.739689, 3.700486, 3.655681, 3.598025, 3.525566, 3.450453, 
    3.366936, 0.3344431, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1.077625, 1.537668, 1.525569, 1.509722, 1.492474, 1.466125, 1.432627, 
    1.392728, 1.34898, 1.303535, 1.275042, 1.279, 1.315858, 1.394866, 
    1.514424, 1.66203, 1.843234, 2.075286, 2.334835, 2.578782, 2.809077, 
    3.03237, 3.226412, 3.377003, 3.502045, 3.606587, 3.679281,
  3.700471, 3.716571, 3.744021, 3.770972, 3.795724, 3.819777, 3.84273, 
    3.861882, 3.876983, 3.889285, 3.899786, 3.907487, 3.912739, 3.91589, 
    3.91849, 3.921242, 3.863492, 3.670994, 3.390963, 3.083834, 2.800299, 
    2.529013, 2.256629, 2.01554, 1.850335, 1.83633, 2.004573, 2.244146, 
    2.48702, 2.727797, 2.974422, 3.210797, 3.415936, 3.571741, 3.666496, 
    3.725552, 3.773459, 3.818917, 3.864677, 3.908288, 3.933247, 3.94, 
    3.94005, 3.940501, 3.940501, 3.940501, 3.940501, 3.940651, 3.941001, 
    3.941001, 3.941001, 3.941001, 3.940751, 3.940501, 3.941401, 3.9418, 
    3.943001, 3.944201, 3.946101, 3.949102, 3.951752, 3.954753, 3.958455, 
    3.961605, 3.964256, 3.967607, 3.971507, 3.975558, 3.979758, 3.984659, 
    3.99166, 4.001812, 4.017015, 4.039219, 4.073126, 4.117834, 4.170541, 
    4.235148, 4.315399, 4.406796, 4.495542, 4.593386, 4.706529, 4.822669, 
    4.921261, 5.002354, 2.540827, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.145799, 4.466398, 4.429897, 
    4.397996, 4.367146, 4.321846, 4.277397, 4.241498, 4.212248, 4.188599, 
    4.174698, 4.169248, 4.166597, 4.163295, 4.157344, 4.150491, 4.141888, 
    4.129934, 4.11668, 4.102475, 4.08722, 4.070163, 4.049656, 4.03045, 
    4.010543, 3.984636, 3.954228, 3.924672, 3.894067, 3.860713, 3.831859, 
    3.812405, 3.79995, 3.800745, 3.82389, 3.865137, 3.921083, 3.975473, 
    4.016209, 4.054354, 4.099499, 0.4111347, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1.387846, 2.008408, 3.096503, 3.101654, 3.109104, 
    2.184002, 0, 0, 0, 0.4634809, 2.356266, 3.17705, 3.218905, 3.287607, 
    3.352844, 3.425079, 3.508414, 3.604649, 3.689035, 3.766771, 3.840357, 
    3.882343, 3.893736, 3.896036, 3.897936, 3.898987, 3.899236, 3.899486, 
    3.899486, 3.899486, 3.899486, 3.899486, 3.899486, 3.899486, 3.899486, 
    3.899486, 3.899486, 3.899486, 3.899736, 3.900687, 3.902037, 3.903787, 
    3.905238, 3.907739, 3.910538, 3.91374, 3.91674, 3.918691, 3.920341, 
    3.920491, 3.920241, 3.918591, 3.913341, 3.905241, 3.895242, 3.882442, 
    3.865642, 3.843791, 3.819989, 3.793037, 3.758184, 3.71748, 3.673227, 
    3.621973, 3.555367, 3.47141, 3.381202, 3.277341, 1.562993, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.0560747, 0.563, 0.5752664, 0.1746827, 0, 0, 0, 
    1.044029, 1.493271, 1.482472, 1.469973, 1.455375, 1.431177, 1.400078, 
    1.36248, 1.322083, 1.285089, 1.267397, 1.282505, 1.330512, 1.42122, 
    1.550676, 1.706281, 1.892334, 2.125934, 2.38213, 2.620275, 2.842319, 
    3.054261, 3.235401, 3.373993, 3.487736, 3.581729, 3.646574,
  3.653468, 3.669568, 3.697169, 3.72637, 3.754472, 3.782224, 3.808726, 
    3.831129, 3.84873, 3.863182, 3.876183, 3.885435, 3.892486, 3.897437, 
    3.901538, 3.906189, 3.850741, 3.669654, 3.420976, 3.147898, 2.891819, 
    2.644836, 2.397603, 2.177518, 2.013875, 1.991969, 2.135696, 2.330715, 
    2.530535, 2.729655, 2.932925, 3.126995, 3.307424, 3.464772, 3.568178, 
    3.638536, 3.698946, 3.758656, 3.822719, 3.885783, 3.927245, 3.940351, 
    3.940551, 3.94115, 3.9415, 3.941851, 3.942052, 3.942802, 3.943502, 
    3.943502, 3.943502, 3.943352, 3.942501, 3.941651, 3.941499, 3.941649, 
    3.942499, 3.943699, 3.946549, 3.9504, 3.954251, 3.958802, 3.964453, 
    3.969555, 3.973757, 3.978307, 3.983007, 3.987708, 3.992758, 3.998859, 
    4.00736, 4.021513, 4.042017, 4.071622, 4.11623, 4.173489, 4.238797, 
    4.315305, 4.397256, 4.484955, 4.568052, 4.658848, 4.760791, 4.861631, 
    3.697712, 2.499469, 0.2509356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3.141946, 4.459393, 4.420791, 
    4.387741, 4.357491, 4.312391, 4.268391, 4.232241, 4.20274, 4.178989, 
    4.164188, 4.158238, 4.154387, 4.148786, 4.140084, 4.129482, 4.116079, 
    4.098375, 4.078521, 4.057217, 4.033812, 4.006655, 3.975899, 3.947443, 
    3.917237, 3.88058, 3.839173, 3.799917, 3.761362, 3.721257, 3.686203, 
    3.659899, 3.640244, 3.633289, 3.649384, 3.685131, 3.735577, 3.775118, 
    3.793604, 3.823849, 3.861094, 0.3870842, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4638189, 2.325784, 3.109356, 3.117757, 
    2.662546, 1.589486, 1.613366, 0.1619524, 0, 1.648036, 3.312526, 3.364884, 
    3.429627, 3.480071, 3.533311, 3.594298, 3.667533, 3.73127, 3.788707, 
    3.840844, 3.863934, 3.869734, 3.872384, 3.874884, 3.875984, 3.876234, 
    3.876484, 3.876484, 3.876484, 3.876484, 3.876484, 3.876484, 3.876484, 
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    3.545424, 3.603871,
  3.599967, 3.616067, 3.644718, 3.676269, 3.707721, 3.738473, 3.768225, 
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    3.425628, 3.500672, 3.553468,
  3.543469, 3.55992, 3.58977, 3.623371, 3.657472, 3.690874, 3.723675, 
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    3.451773, 3.49887,
  3.487473, 3.504272, 3.535273, 3.570173, 3.605724, 3.640924, 3.675675, 
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    3.166493, 3.244488, 3.305683, 3.35623, 3.394177,
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    2.944659, 3.062052, 3.154346, 3.220491, 3.271937, 3.314883, 3.348081,
  3.339984, 3.354333, 3.383232, 3.416081, 3.449481, 3.483229, 3.516228, 
    3.544977, 3.568477, 3.590577, 3.613077, 3.636378, 3.66073, 3.690334, 
    3.730538, 3.780245, 3.83225, 3.861512, 3.845879, 3.795345, 3.735807, 
    3.672767, 3.604276, 3.525331, 3.433083, 3.314932, 3.20997, 3.138656, 
    3.087544, 3.030832, 2.954121, 2.876911, 2.859003, 2.932101, 3.071006, 
    3.241814, 3.414522, 3.59738, 3.786539, 3.957943, 4.094795, 4.173196, 
    4.176993, 4.150636, 4.10903, 4.063922, 4.016514, 3.995758, 3.994756, 
    3.984305, 3.954853, 3.9218, 3.893499, 3.867297, 3.840496, 3.813994, 
    3.789993, 3.767041, 3.76319, 3.77944, 3.803241, 3.837542, 3.876995, 
    3.915396, 3.945998, 3.967849, 3.986201, 4.007352, 4.032505, 4.060458, 
    4.095411, 4.152814, 4.234519, 4.345624, 4.505781, 4.679387, 4.811789, 
    4.928442, 5.036944, 5.139997, 5.225799, 3.412102, 0.2620982, 0, 0, 0, 0, 
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    3.27659, 3.186886, 3.104432, 3.020578, 2.925375, 2.830074, 2.748424, 
    2.673425, 2.597627, 2.524628, 2.45893, 2.397431, 2.34303, 2.313878, 
    2.309926, 2.319621, 2.352773, 2.376124, 2.391172, 2.41742, 2.343076, 
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    2.812938, 2.69244, 2.574191, 2.442993, 2.288245, 1.827523, 1.482075, 
    1.832961, 1.678319, 1.531279, 1.414488, 1.319743, 1.239847, 1.178849, 
    1.13175, 1.11265, 1.1108, 1.12075, 1.141752, 0.7585337, 0.123054, 
    0.8385992, 1.312514, 1.340514, 0.7334403, 0.6642885, 0.6787602, 1.161874, 
    1.365471, 1.375123, 1.394027, 1.42588, 1.481784, 1.559988, 1.653541, 
    1.767392, 1.910493, 2.069592, 2.22629, 2.386836, 2.55838, 2.719323, 
    2.852516, 2.967509, 3.068153, 3.145847, 3.200493, 3.24289, 3.278487, 
    3.306485,
  3.299987, 3.312236, 3.338235, 3.368334, 3.398733, 3.429131, 3.45923, 
    3.485529, 3.507479, 3.528728, 3.551678, 3.577579, 3.608232, 3.647635, 
    3.70119, 3.766195, 3.8325, 3.89216, 3.919675, 3.908438, 3.879048, 
    3.839855, 3.791261, 3.724465, 3.636066, 3.515115, 3.380505, 3.273493, 
    3.192283, 3.108274, 3.005266, 2.904009, 2.868754, 2.939554, 3.090408, 
    3.279964, 3.47177, 3.675127, 3.883532, 4.065536, 4.206286, 4.285786, 
    4.280583, 4.238578, 4.180273, 4.119168, 4.056665, 4.023962, 4.019512, 
    4.009462, 3.976362, 3.938761, 3.90676, 3.87826, 3.846958, 3.814806, 
    3.785753, 3.757402, 3.7499, 3.765599, 3.79075, 3.8285, 3.879006, 
    3.930264, 3.970269, 3.998021, 4.020323, 4.046225, 4.076776, 4.110127, 
    4.151879, 4.210627, 4.294274, 4.411874, 4.585077, 4.772631, 4.909282, 
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    3.523665, 3.474715, 3.405562, 3.324709, 3.231955, 3.12665, 3.023695, 
    2.931192, 2.839389, 2.738188, 2.641088, 2.560689, 2.489391, 2.419243, 
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    3.581732, 3.586082, 3.591982, 3.598732, 3.606882, 3.617082, 3.628682, 
    3.638482, 3.646183, 3.651484, 3.650834, 3.647985, 3.623432, 3.577775, 
    3.518569, 3.449961, 3.380303, 3.3089, 3.234549, 3.150698, 3.058796, 
    2.971394, 2.476955, 2.137214, 2.754699, 2.666304, 2.543851, 2.424449, 
    2.297701, 2.151604, 1.704114, 1.372055, 1.736719, 1.600724, 1.478382, 
    1.38499, 1.303495, 1.231547, 1.175498, 1.1325, 1.1133, 1.1113, 1.123952, 
    0.8590529, 0.1737299, 0.131152, 1.322171, 1.362272, 0.8906766, 0.1402526, 
    0.7218485, 1.072513, 1.423875, 1.430676, 1.446428, 1.473031, 1.513283, 
    1.579187, 1.666289, 1.766041, 1.883292, 2.027142, 2.18209, 2.331537, 
    2.480983, 2.636677, 2.778821, 2.894265, 2.992209, 3.076753, 3.140499, 
    3.184245, 3.218192, 3.24664, 3.269738,
  3.26449, 3.27534, 3.297789, 3.324438, 3.350986, 3.377885, 3.404284, 
    3.427433, 3.447232, 3.467031, 3.490282, 3.519233, 3.557235, 3.606438, 
    3.673642, 3.752646, 3.833, 3.914055, 3.977914, 4.001773, 3.998781, 
    3.979337, 3.94544, 3.887493, 3.801293, 3.677292, 3.52564, 3.388932, 
    3.281025, 3.173819, 3.049463, 2.930709, 2.885006, 2.954456, 3.115108, 
    3.319512, 3.527266, 3.74622, 3.968573, 4.157325, 4.298524, 4.375323, 
    4.36132, 4.306417, 4.236014, 4.165613, 4.096761, 4.060311, 4.057262, 
    4.051764, 4.021767, 3.985118, 3.953019, 3.923369, 3.887367, 3.848816, 
    3.814014, 3.780613, 3.767161, 3.77981, 3.805509, 3.847661, 3.916417, 
    3.988874, 4.04578, 4.082383, 4.108384, 4.137334, 4.170534, 4.206534, 
    4.248283, 4.294777, 4.367524, 4.479821, 4.657571, 4.854723, 4.994774, 
    5.124325, 5.251179, 5.370882, 4.078431, 0.8169987, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0, 0, 1.74146, 3.490975, 3.512637, 3.526044, 3.513198, 3.49825, 
    3.487201, 3.486805, 3.493958, 3.499711, 3.495164, 3.477916, 3.454218, 
    3.42387, 3.373919, 3.298968, 3.208215, 3.103462, 2.985158, 2.869654, 
    2.767701, 2.66925, 2.565449, 2.46985, 2.393202, 2.327404, 2.264856, 
    2.208059, 2.156462, 2.104514, 2.052315, 2.013664, 1.994462, 1.991361, 
    2.016509, 2.037008, 2.037956, 2.048703, 1.870406, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9389983, 3.130244, 3.130843, 
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    3.528286, 3.528986, 3.528986, 3.528986, 3.528986, 3.528986, 3.528986, 
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    3.532736, 3.537036, 3.542485, 3.548735, 3.556385, 3.566085, 3.577034, 
    3.586234, 3.594384, 3.601534, 3.603135, 3.601985, 3.573535, 3.517235, 
    3.435227, 3.346972, 3.261869, 1.776556, 1.579181, 1.537057, 1.489336, 
    1.444114, 1.385888, 1.992386, 2.616961, 2.530457, 2.399505, 2.276204, 
    2.152555, 2.014156, 1.876611, 1.755215, 1.638367, 1.518273, 1.418479, 
    1.346735, 1.282341, 1.220446, 1.1729, 1.140755, 1.132411, 1.082782, 
    0.5631545, 0.286824, 0, 0.06700888, 0.6756355, 0.6965725, 0.2113703, 
    0.7680825, 1.49143, 1.500279, 1.508079, 1.51778, 1.538581, 1.571783, 
    1.618985, 1.693037, 1.786489, 1.89004, 2.00864, 2.150388, 2.298836, 
    2.438533, 2.575429, 2.714524, 2.837818, 2.936013, 3.018108, 3.087353, 
    3.1378, 3.171997, 3.198144, 3.220293, 3.239192,
  3.235493, 3.244943, 3.264192, 3.286541, 3.30924, 3.332639, 3.354938, 
    3.375187, 3.392236, 3.410336, 3.433035, 3.465236, 3.510238, 3.568891, 
    3.648193, 3.740297, 3.8335, 3.927053, 4.012406, 4.064913, 4.084269, 
    4.080872, 4.058125, 4.006377, 3.921527, 3.794676, 3.637825, 3.485173, 
    3.356769, 3.231515, 3.093112, 2.96361, 2.910758, 2.978658, 3.145709, 
    3.359861, 3.579014, 3.807616, 4.036516, 4.224564, 4.361512, 4.433011, 
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    4.099012, 4.078165, 4.048968, 4.021019, 3.99167, 3.95287, 3.910769, 
    3.872019, 3.834317, 3.815266, 3.823715, 3.849015, 3.898117, 3.985372, 
    4.078027, 4.152281, 4.200284, 4.230686, 4.260336, 4.293536, 4.326734, 
    4.35853, 4.386225, 4.44277, 4.542016, 4.715063, 4.914662, 5.057012, 
    5.191314, 5.327166, 4.622022, 1.371265, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    3.332007, 3.34971, 3.366013, 3.371666, 3.363718, 3.34672, 3.320621, 
    3.271622, 3.192521, 3.093219, 2.978167, 2.849864, 2.727164, 2.620464, 
    2.520414, 2.419166, 2.329368, 2.25922, 2.200272, 2.146825, 2.098877, 
    2.054479, 2.00833, 1.95788, 1.914979, 1.891478, 1.883726, 1.898773, 
    1.910719, 1.903466, 1.903563, 0.9904174, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9340488, 3.112746, 3.110595, 3.108244, 
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    3.45629, 3.46584, 3.472839, 3.477489, 3.480739, 3.483389, 3.484789, 
    3.485489, 3.485489, 3.485489, 3.485489, 3.485489, 3.485489, 3.485489, 
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    3.492939, 3.497339, 3.502738, 3.509538, 3.518088, 3.527587, 3.535737, 
    3.544237, 3.552138, 3.555438, 3.555488, 3.519484, 3.446075, 3.334016, 
    3.22496, 2.07129, 0.1593146, 0.4218759, 0.7031265, 0, 0, 0.770687, 
    2.544709, 2.480911, 2.392213, 2.255262, 2.130712, 2.008963, 1.876865, 
    1.754669, 1.647223, 1.541877, 1.437981, 1.357636, 1.305991, 1.263097, 
    1.222004, 1.012864, 0.8811069, 1.199676, 1.11058, 0, 0, 0, 0, 0, 0, 0, 
    0.7784218, 1.601033, 1.607532, 1.615432, 1.627282, 1.651283, 1.689534, 
    1.742135, 1.821886, 1.919087, 2.023787, 2.140736, 2.277184, 2.416782, 
    2.545028, 2.667674, 2.789469, 2.894615, 2.976511, 3.043707, 3.099003, 
    3.138051, 3.163999, 3.183297, 3.199895, 3.214794,
  3.212996, 3.220695, 3.236644, 3.255143, 3.274243, 3.293692, 3.312391, 
    3.32909, 3.34374, 3.359789, 3.381339, 3.416589, 3.467741, 3.534642, 
    3.624295, 3.728297, 3.833, 3.937002, 4.033955, 4.104106, 4.13976, 
    4.149162, 4.135314, 4.087815, 4.003014, 3.873764, 3.714414, 3.559014, 
    3.423014, 3.289464, 3.146714, 3.015015, 2.958515, 3.024164, 3.193514, 
    3.413715, 3.638015, 3.868264, 4.092612, 4.270359, 4.397256, 4.462554, 
    4.434803, 4.365552, 4.285751, 4.211902, 4.145552, 4.117455, 4.128256, 
    4.140458, 4.13026, 4.112664, 4.093516, 4.068768, 4.030818, 3.987969, 
    3.947769, 3.907569, 3.884668, 3.888317, 3.912016, 3.967217, 4.06952, 
    4.180074, 4.270278, 4.33038, 4.365831, 4.395331, 4.42728, 4.453629, 
    4.469174, 4.474969, 4.510765, 4.590659, 4.749605, 4.943553, 5.084752, 
    5.220702, 5.362153, 3.827252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.492974, 3.020949, 3.085401, 3.134803, 3.145455, 3.142806, 3.142407, 
    3.161559, 3.189711, 3.217164, 3.234116, 3.236319, 3.227221, 3.206923, 
    3.160873, 3.080473, 2.975973, 2.854322, 2.720221, 2.596021, 2.490222, 
    2.394222, 2.300375, 2.220477, 2.158979, 2.108681, 2.064634, 2.023735, 
    1.984736, 1.943288, 1.895139, 1.850739, 1.822988, 1.808536, 1.811383, 
    1.80793, 1.792228, 1.780025, 0.1777474, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.929699, 3.096996, 3.091846, 3.086645, 
    3.089644, 3.098994, 3.118144, 3.145294, 3.176344, 3.206244, 3.238594, 
    3.277695, 3.318395, 3.350496, 3.375245, 3.390495, 3.403344, 3.413994, 
    3.422893, 3.430442, 3.436543, 3.440242, 3.442892, 3.445342, 3.446292, 
    3.446992, 3.446992, 3.446992, 3.446992, 3.446992, 3.446992, 3.446992, 
    3.446992, 3.446992, 3.446992, 3.446992, 3.447292, 3.448492, 3.450392, 
    3.453542, 3.457541, 3.461741, 3.466991, 3.474041, 3.48164, 3.48899, 
    3.49809, 3.50614, 3.509439, 3.503487, 3.444679, 3.336871, 2.736805, 
    1.574028, 1.45639, 1.376031, 1.750216, 1.986516, 1.245721, 1.196098, 
    1.53201, 2.376709, 2.314256, 2.226806, 1.802575, 1.489989, 1.859163, 
    1.740117, 1.635672, 1.546477, 1.459382, 1.375438, 1.315243, 1.284998, 
    1.265603, 1.250609, 1.069149, 0.9641605, 1.306627, 0.652364, 0, 0, 0, 0, 
    0, 0, 0.6432449, 0.9947298, 1.733333, 1.736782, 1.744782, 1.757282, 
    1.782682, 1.824533, 1.880383, 1.963234, 2.061434, 2.164533, 2.277081, 
    2.405029, 2.533276, 2.648523, 2.75642, 2.860966, 2.948712, 3.015259, 
    3.068856, 3.111303, 3.141101, 3.15975, 3.173498, 3.185447, 3.196547,
  3.196498, 3.202797, 3.215197, 3.230246, 3.245495, 3.260744, 3.276294, 
    3.289343, 3.301492, 3.315392, 3.335592, 3.373142, 3.429243, 3.503194, 
    3.601846, 3.715848, 3.830499, 3.943751, 4.050403, 4.129854, 4.174005, 
    4.191906, 4.184707, 4.140958, 4.056008, 3.925908, 3.768059, 3.617161, 
    3.487513, 3.359965, 3.222918, 3.09852, 3.04352, 3.10612, 3.274119, 
    3.493618, 3.714266, 3.935964, 4.145811, 4.304856, 4.414752, 4.4718, 
    4.439299, 4.365298, 4.283498, 4.210798, 4.14925, 4.128901, 4.148003, 
    4.169904, 4.171907, 4.16921, 4.165264, 4.151516, 4.119668, 4.08007, 
    4.04127, 4.00002, 3.973519, 3.971168, 3.989516, 4.045316, 4.158167, 
    4.283319, 4.387772, 4.458274, 4.498475, 4.527525, 4.557524, 4.576323, 
    4.573269, 4.553964, 4.565009, 4.619803, 4.758599, 4.940597, 5.074995, 
    5.205893, 5.346592, 3.816394, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.082863, 
    1.261732, 2.026976, 2.802709, 2.87366, 2.928461, 2.950213, 2.952014, 
    2.954214, 2.980465, 3.018467, 3.056118, 3.08402, 3.095922, 3.094974, 
    3.081075, 3.039826, 2.962177, 2.855977, 2.732277, 2.596377, 2.472627, 
    2.370228, 2.280429, 2.196432, 2.127984, 2.077736, 2.037288, 2.00199, 
    1.968041, 1.935743, 1.899594, 1.855995, 1.812995, 1.780494, 1.757442, 
    1.74844, 1.730137, 1.705736, 1.680983, 0.1674982, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.463623, 2.312454, 3.074597, 
    3.066596, 3.067146, 3.076496, 3.095996, 3.123296, 3.154647, 3.185497, 
    3.218447, 3.258247, 3.300197, 3.332997, 3.356347, 3.368996, 3.379096, 
    3.387245, 3.394345, 3.400445, 3.405394, 3.408244, 3.410394, 3.412394, 
    3.413144, 3.413494, 3.413494, 3.413494, 3.413494, 3.413494, 3.413494, 
    3.413494, 3.413494, 3.413494, 3.413494, 3.413494, 3.413794, 3.414994, 
    3.416544, 3.419044, 3.422244, 3.425243, 3.428943, 3.433993, 3.439492, 
    3.446242, 3.454742, 3.462142, 3.461341, 3.434235, 3.343428, 1.798937, 
    1.101379, 0, 1.898719, 2.631955, 2.535604, 2.451706, 2.388461, 2.294813, 
    2.225165, 2.192965, 2.127865, 2.041266, 1.361477, 0.8834859, 1.708873, 
    0.9894406, 1.52313, 1.455485, 1.391689, 1.331493, 1.295148, 1.287002, 
    1.290407, 1.300661, 1.327616, 1.006132, 0.6821895, 0.06892367, 0, 0, 0, 
    0, 0, 0.5026918, 1.641786, 1.897028, 1.879829, 1.882529, 1.890129, 
    1.902279, 1.927779, 1.971279, 2.03018, 2.114079, 2.209879, 2.308028, 
    2.413176, 2.530324, 2.644821, 2.745768, 2.838665, 2.926461, 2.997909, 
    3.051007, 3.092554, 3.124053, 3.146101, 3.159, 3.16805, 3.176449, 3.184298,
  3.185999, 3.190548, 3.200098, 3.211197, 3.222497, 3.234146, 3.246296, 
    3.256246, 3.265745, 3.276995, 3.295844, 3.335545, 3.395745, 3.475196, 
    3.580947, 3.703148, 3.825249, 3.9463, 4.061401, 4.148702, 4.197253, 
    4.219203, 4.217204, 4.177905, 4.095006, 3.968707, 3.817758, 3.67701, 
    3.560012, 3.447214, 3.324367, 3.212719, 3.165521, 3.227171, 3.38807, 
    3.598568, 3.807515, 4.012963, 4.202559, 4.338456, 4.426752, 4.467799, 
    4.428748, 4.350347, 4.267497, 4.196547, 4.140248, 4.126048, 4.152999, 
    4.184501, 4.201853, 4.221858, 4.242262, 4.248666, 4.231319, 4.200871, 
    4.167773, 4.126973, 4.096673, 4.084871, 4.090768, 4.138316, 4.252965, 
    4.386516, 4.501517, 4.579768, 4.625069, 4.654219, 4.682019, 4.692667, 
    4.670114, 4.62221, 4.605255, 4.631701, 4.746047, 4.910793, 5.032241, 
    5.152639, 5.286088, 3.770541, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7464277, 
    2.19801, 2.434573, 2.527472, 2.604272, 2.675922, 2.730171, 2.758721, 
    2.765222, 2.768872, 2.799423, 2.845224, 2.890675, 2.927876, 2.947727, 
    2.953478, 2.945229, 2.90943, 2.83758, 2.733981, 2.612182, 2.478382, 
    2.357333, 2.260484, 2.178685, 2.106437, 2.050789, 2.013242, 1.983743, 
    1.957095, 1.931996, 1.906997, 1.877098, 1.838399, 1.797549, 1.761249, 
    1.730198, 1.710446, 1.681995, 1.649995, 1.060624, 0.08142515, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.531999, 3.057697, 
    3.046847, 3.047597, 3.058998, 3.080898, 3.109699, 3.141149, 3.172249, 
    3.206149, 3.246749, 3.289199, 3.321499, 3.342248, 3.351498, 3.358647, 
    3.364997, 3.370647, 3.375397, 3.378747, 3.381246, 3.383046, 3.384446, 
    3.385146, 3.385496, 3.385146, 3.384996, 3.384996, 3.384996, 3.384996, 
    3.384996, 3.384996, 3.384996, 3.384996, 3.384996, 3.385296, 3.386496, 
    3.387696, 3.389496, 3.391446, 3.392995, 3.394895, 3.397545, 3.401344, 
    3.407494, 3.414694, 3.420694, 3.411842, 3.352987, 2.133548, 0.1625504, 0, 
    0, 1.726872, 2.379009, 2.279909, 2.208461, 2.173065, 1.201746, 1.066424, 
    1.04968, 1.661736, 1.863723, 1.245283, 0.8142402, 1.053972, 0.225074, 
    1.430237, 1.384491, 0.8829035, 1.242628, 1.296852, 0.9749027, 1.132947, 
    1.295539, 0.6849909, 0.3491434, 0, 0, 0, 0, 0, 0, 0.3252992, 1.583426, 
    2.068872, 2.045322, 2.030473, 2.032523, 2.038772, 2.050522, 2.078823, 
    2.126274, 2.188075, 2.269874, 2.359423, 2.449271, 2.544369, 2.648317, 
    2.748565, 2.834513, 2.91206, 2.983558, 3.040406, 3.082254, 3.113603, 
    3.136602, 3.152051, 3.16075, 3.1663, 3.17155, 3.177199,
  3.178999, 3.182149, 3.189049, 3.196799, 3.204748, 3.213048, 3.221397, 
    3.228797, 3.235997, 3.244947, 3.262597, 3.304447, 3.368497, 3.452498, 
    3.563498, 3.691349, 3.817999, 3.943949, 4.0663, 4.159901, 4.212251, 
    4.236602, 4.238751, 4.204453, 4.127003, 4.010005, 3.871406, 3.745108, 
    3.64351, 3.547162, 3.442214, 3.346366, 3.310767, 3.371417, 3.520865, 
    3.716814, 3.909261, 4.094359, 4.260006, 4.371253, 4.436501, 4.456248, 
    4.408698, 4.325747, 4.241247, 4.170746, 4.117696, 4.107397, 4.140997, 
    4.181949, 4.219602, 4.272056, 4.32901, 4.368815, 4.376218, 4.36122, 
    4.337522, 4.299122, 4.264772, 4.236469, 4.221016, 4.248263, 4.352561, 
    4.486861, 4.608511, 4.693763, 4.745264, 4.776564, 4.802263, 4.805212, 
    4.762361, 4.683056, 4.635503, 4.6317, 4.716496, 4.857692, 4.958489, 
    5.063487, 5.184186, 3.692839, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8081348, 0.9169596, 
    0.9517176, 1.751409, 2.173787, 2.279384, 2.363483, 2.434982, 2.500931, 
    2.54948, 2.57648, 2.58563, 2.59138, 2.62448, 2.674481, 2.724831, 
    2.769282, 2.795582, 2.806483, 2.803384, 2.773484, 2.708535, 2.612236, 
    2.497037, 2.369789, 2.254639, 2.16524, 2.092291, 2.032092, 1.990294, 
    1.964745, 1.946196, 1.929598, 1.914099, 1.8975, 1.875301, 1.842752, 
    1.804902, 1.766502, 1.729852, 1.701401, 1.66815, 1.227658, 0.2423446, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.522999, 
    3.038648, 3.027098, 3.030498, 3.045999, 3.071999, 3.10305, 3.134199, 
    3.163499, 3.196999, 3.238649, 3.280899, 3.311249, 3.328998, 3.334548, 
    3.338848, 3.344497, 3.350498, 3.354848, 3.357098, 3.359248, 3.360698, 
    3.361898, 3.362148, 3.362497, 3.362148, 3.361547, 3.361498, 3.361498, 
    3.361498, 3.361498, 3.361498, 3.361498, 3.361498, 3.361498, 3.361798, 
    3.362998, 3.363847, 3.364948, 3.365347, 3.364497, 3.363997, 3.364646, 
    3.367547, 3.370246, 3.373295, 3.376795, 3.358293, 3.262989, 0.9637461, 0, 
    0, 0, 0.8177629, 1.214264, 1.984963, 1.487114, 1.029515, 0.1027265, 0, 0, 
    0.6435028, 1.612763, 1.139939, 0.3909106, 0.2345463, 0.6787732, 1.354992, 
    1.331245, 0.8529529, 1.237115, 1.315403, 1.014582, 1.193504, 0.7024723, 
    0, 0.4355996, 0.2613598, 0, 0, 0.5521262, 1.129458, 1.160815, 1.491742, 
    2.235517, 2.216468, 2.200218, 2.189769, 2.188019, 2.191868, 2.204919, 
    2.238919, 2.288769, 2.348768, 2.424167, 2.504366, 2.583515, 2.666513, 
    2.755862, 2.84131, 2.912508, 2.975657, 3.032205, 3.076204, 3.108003, 
    3.131052, 3.147601, 3.157651, 3.16325, 3.1664, 3.16955, 3.17325,
  3.174, 3.1761, 3.18055, 3.185699, 3.190749, 3.196149, 3.201499, 3.206698, 
    3.211748, 3.218898, 3.235398, 3.279998, 3.348249, 3.436449, 3.55145, 
    3.682449, 3.81075, 3.93835, 4.064849, 4.16315, 4.218, 4.2445, 4.2503, 
    4.220951, 4.151502, 4.047403, 3.925454, 3.816955, 3.732507, 3.652958, 
    3.56566, 3.486161, 3.460761, 3.517611, 3.65361, 3.832608, 4.006757, 
    4.170405, 4.311003, 4.396902, 4.43925, 4.439949, 4.383698, 4.295047, 
    4.206497, 4.133697, 4.080747, 4.072146, 4.109996, 4.161498, 4.227951, 
    4.324254, 4.429258, 4.514312, 4.557865, 4.564867, 4.551268, 4.515968, 
    4.473067, 4.418515, 4.369011, 4.362209, 4.443356, 4.569005, 4.693755, 
    4.786306, 4.846056, 4.882207, 4.907757, 4.906007, 4.844556, 4.733804, 
    4.653251, 4.616798, 4.669796, 4.782944, 4.858491, 4.94349, 5.041688, 
    3.583291, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.439567, 0.8808842, 1.698813, 1.824249, 1.884497, 
    1.975545, 2.067693, 2.152791, 2.22349, 2.285089, 2.341938, 2.381988, 
    2.403487, 2.412737, 2.421838, 2.457587, 2.510488, 2.565138, 2.615789, 
    2.648589, 2.66499, 2.66669, 2.642991, 2.585591, 2.499742, 2.394293, 
    2.276194, 2.169094, 2.087745, 2.023546, 1.975196, 1.946797, 1.932498, 
    1.923449, 1.91755, 1.912501, 1.905501, 1.892202, 1.867903, 1.833853, 
    1.796253, 1.757603, 1.725953, 1.436665, 0.4116873, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.7588844, 2.564079, 
    3.007248, 3.016349, 3.037499, 3.06845, 3.10135, 3.1308, 3.155999, 
    3.186099, 3.227499, 3.268149, 3.295249, 3.309398, 3.311748, 3.315498, 
    3.322748, 3.332098, 3.338649, 3.340599, 3.342249, 3.343199, 3.343949, 
    3.343999, 3.343999, 3.343649, 3.343049, 3.342849, 3.342499, 3.342499, 
    3.342049, 3.342149, 3.342499, 3.342499, 3.342949, 3.343299, 3.344249, 
    3.344849, 3.344899, 3.343099, 3.339498, 3.335898, 3.334648, 3.336098, 
    3.334747, 3.333047, 3.333447, 3.304046, 2.406877, 0.4731779, 0, 0, 0, 
    0.6199445, 0.9381148, 1.729586, 0.8497432, 0, 0, 0, 0, 0, 1.38699, 
    1.045793, 0, 0, 0.672317, 1.297596, 1.295498, 1.30075, 1.313402, 
    1.348803, 1.404255, 0.9342747, 0.072139, 0.2674907, 1.352573, 1.238209, 
    1.042259, 1.101368, 1.69584, 2.307807, 2.366657, 2.379307, 2.363758, 
    2.353109, 2.34761, 2.344411, 2.343761, 2.349412, 2.367512, 2.402012, 
    2.447762, 2.502261, 2.56861, 2.63801, 2.705509, 2.775808, 2.850307, 
    2.920355, 2.977754, 3.027803, 3.071353, 3.104452, 3.127751, 3.144401, 
    3.1557, 3.1619, 3.165, 3.1667, 3.1685, 3.17045,
  3.1705, 3.17155, 3.17445, 3.17725, 3.18, 3.1831, 3.18645, 3.18925, 3.19275, 
    3.197999, 3.213749, 3.262199, 3.335, 3.4267, 3.54325, 3.672699, 3.796499, 
    3.918549, 4.044049, 4.144149, 4.199499, 4.227899, 4.236098, 4.212599, 
    4.1535, 4.067801, 3.968201, 3.879152, 3.811002, 3.746353, 3.674604, 
    3.608754, 3.588754, 3.640154, 3.761403, 3.916152, 4.063501, 4.198249, 
    4.313999, 4.376848, 4.398997, 4.386497, 4.323196, 4.230496, 4.145497, 
    4.079048, 4.033498, 4.024648, 4.063748, 4.126998, 4.2317, 4.386603, 
    4.549755, 4.686657, 4.775208, 4.80901, 4.805511, 4.773311, 4.71596, 
    4.621708, 4.521506, 4.466104, 4.510402, 4.617352, 4.740001, 4.838851, 
    4.907902, 4.951252, 4.979002, 4.973852, 4.899102, 4.76055, 4.646749, 
    4.578098, 4.599597, 4.685746, 4.740495, 4.805044, 4.876844, 3.456945, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.0879067, 0.8786169, 1.316533, 1.7583, 1.7767, 1.807899, 1.851999, 
    1.914648, 1.981997, 2.047546, 2.103996, 2.154145, 2.200445, 2.230695, 
    2.245744, 2.254144, 2.265294, 2.302544, 2.357744, 2.416095, 2.471895, 
    2.510945, 2.532745, 2.539145, 2.521296, 2.473796, 2.399246, 2.305097, 
    2.198097, 2.100548, 2.027248, 1.971448, 1.935199, 1.919349, 1.91475, 
    1.91435, 1.9176, 1.922401, 1.924751, 1.920451, 1.905102, 1.876252, 
    1.841752, 1.805852, 1.775352, 1.223951, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.04992, 2.833038, 3.000649, 
    3.02925, 3.0659, 3.0996, 3.12545, 3.145499, 3.170449, 3.208149, 3.246599, 
    3.269999, 3.280799, 3.281449, 3.287049, 3.298749, 3.312899, 3.3245, 
    3.328949, 3.33025, 3.33085, 3.331, 3.33085, 3.3305, 3.3298, 3.32945, 
    3.3287, 3.328, 3.32765, 3.327049, 3.32715, 3.32775, 3.328, 3.328949, 
    3.329649, 3.33025, 3.330499, 3.328399, 3.323999, 3.318249, 3.312149, 
    3.308649, 3.302349, 3.294498, 3.289098, 3.285448, 3.241497, 1.573498, 0, 
    0, 0, 0.4210321, 1.418814, 1.599893, 1.337127, 0.4027193, 0, 0, 0, 0, 0, 
    1.270646, 1.155362, 0.6375486, 0.6261477, 0.6837924, 1.260049, 1.27875, 
    1.305851, 0.79806, 1.398402, 1.474253, 1.025495, 0.8628157, 1.1923, 
    1.904005, 2.024256, 2.151555, 2.263305, 2.343254, 2.406754, 2.451703, 
    2.463553, 2.461753, 2.462754, 2.467954, 2.473204, 2.479255, 2.491605, 
    2.516955, 2.551605, 2.592505, 2.640055, 2.697055, 2.755804, 2.812004, 
    2.869953, 2.930303, 2.986202, 3.031002, 3.069151, 3.101901, 3.125651, 
    3.142251, 3.1536, 3.1608, 3.16445, 3.166, 3.16685, 3.16755, 3.16865,
  3.168, 3.1687, 3.17, 3.1713, 3.1725, 3.1737, 3.1754, 3.1766, 3.179, 
    3.18245, 3.19765, 3.2504, 3.32725, 3.42055, 3.5344, 3.65565, 3.768, 
    3.8772, 3.99485, 4.09175, 4.1445, 4.1738, 4.1855, 4.1705, 4.12475, 
    4.06045, 3.98635, 3.9182, 3.8655, 3.8135, 3.75345, 3.6963, 3.67775, 
    3.7215, 3.8241, 3.9487, 4.06375, 4.16445, 4.2511, 4.29415, 4.30125, 
    4.2807, 4.21505, 4.12685, 4.0545, 4.00315, 3.97365, 3.97, 4.00925, 
    4.08385, 4.23495, 4.4575, 4.68325, 4.87505, 5.0081, 5.06785, 5.0735, 
    5.04415, 4.96895, 4.82125, 4.6605, 4.54665, 4.5411, 4.618, 4.729, 
    4.83055, 4.9079, 4.9591, 4.98925, 4.9795, 4.8946, 4.737401, 4.59925, 
    4.5073, 4.50035, 4.56215, 4.602, 4.64885, 4.6999, 4.02985, 1.17475, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4415, 
    0.8816, 0.96645, 1.75445, 1.751, 1.75175, 1.76715, 1.79435, 1.8275, 
    1.8701, 1.9186, 1.96745, 2.01075, 2.04985, 2.08505, 2.10575, 2.11325, 
    2.1183, 2.12825, 2.1639, 2.2185, 2.2773, 2.336, 2.3795, 2.4055, 2.41575, 
    2.4047, 2.36915, 2.3075, 2.228, 2.1349, 2.0483, 1.9835, 1.93585, 1.91015, 
    1.9046, 1.9085, 1.9159, 1.92705, 1.9395, 1.94975, 1.953, 1.9459, 1.9234, 
    1.89525, 1.8664, 1.83935, 1.2698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1.48235, 2.9805, 3.0195, 3.06165, 
    3.0939, 3.1146, 3.129, 3.1483, 3.1811, 3.2184, 3.23775, 3.24625, 3.2472, 
    3.2569, 3.2745, 3.2949, 3.31335, 3.3218, 3.323, 3.3235, 3.32345, 3.32285, 
    3.32225, 3.3213, 3.32045, 3.3192, 3.31825, 3.3173, 3.317, 3.317, 3.3175, 
    3.31835, 3.3195, 3.3205, 3.32075, 3.31995, 3.31535, 3.3076, 3.29925, 
    3.2895, 3.27865, 3.2583, 3.2385, 3.22675, 3.2135, 2.6976, 0.77375, 0, 0, 
    0.2454, 1.196, 1.49385, 1.4183, 0.98525, 0, 0, 0, 0, 0, 0, 1.16685, 
    1.26575, 1.242, 0.807, 1.16765, 1.2437, 1.28, 1.3261, 0.83965, 1.46135, 
    1.5575, 1.6666, 1.7884, 1.91715, 2.04425, 2.164, 2.2841, 2.3816, 2.4475, 
    2.498, 2.52895, 2.54325, 2.55175, 2.56235, 2.57595, 2.58885, 2.6015, 
    2.62045, 2.6494, 2.68455, 2.7205, 2.76065, 2.80845, 2.8569, 2.90275, 
    2.94895, 2.99635, 3.03985, 3.07325, 3.10105, 3.12495, 3.14115, 3.15225, 
    3.1595, 3.16385, 3.16565, 3.1665, 3.167, 3.16705, 3.1675,
  3.158001, 3.158001, 3.158001, 3.158001, 3.158251, 3.158501, 3.158951, 
    3.159301, 3.160501, 3.163101, 3.178551, 3.236401, 3.317001, 3.409501, 
    3.517601, 3.627701, 3.726002, 3.820802, 3.924353, 4.012953, 4.059754, 
    4.088704, 4.106303, 4.102153, 4.071253, 4.027051, 3.976701, 3.9296, 
    3.891, 3.848899, 3.795749, 3.742699, 3.724749, 3.75895, 3.8399, 3.938251, 
    4.027002, 4.099653, 4.156854, 4.180955, 4.177255, 4.149755, 4.086505, 
    4.008205, 3.948004, 3.910204, 3.896053, 3.904403, 3.946002, 4.027853, 
    4.228301, 4.519898, 4.807246, 5.051194, 5.222192, 5.303092, 5.315492, 
    5.287642, 5.197792, 4.989894, 4.764997, 4.591549, 4.53385, 4.577752, 
    4.673003, 4.772453, 4.853952, 4.909702, 4.941252, 4.928002, 4.833353, 
    4.661854, 4.507504, 4.399355, 4.371305, 4.413256, 4.442507, 4.475957, 
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    1.7455, 1.74555, 1.7565, 1.776851, 1.801501, 1.831052, 1.866102, 
    1.902102, 1.934503, 1.964103, 1.989653, 2.002254, 2.004004, 2.004704, 
    2.010754, 2.042504, 2.093005, 2.148755, 2.208055, 2.254055, 2.284004, 
    2.297854, 2.294454, 2.271404, 2.225253, 2.162302, 2.085102, 2.009901, 
    1.953001, 1.912551, 1.89505, 1.89705, 1.9085, 1.92205, 1.94, 1.958849, 
    1.974749, 1.985049, 1.985349, 1.969998, 1.950998, 1.933747, 1.914297, 
    1.611276, 0.4769637, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.769219, 1.150046, 1.2444, 1.295749, 1.357949, 1.434998, 1.535747, 
    1.650996, 1.774996, 1.907146, 2.041546, 2.169746, 2.284296, 2.393697, 
    2.474747, 2.524248, 2.568148, 2.599697, 2.622697, 2.638997, 2.657397, 
    2.678446, 2.698346, 2.717496, 2.741196, 2.769246, 2.800346, 2.830996, 
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    3.105499, 3.124999, 3.141099, 3.151299, 3.1575, 3.16125, 3.1629, 3.1627, 
    3.16175, 3.1608, 3.159951, 3.158851,
  3.131503, 3.130453, 3.128903, 3.125203, 3.118005, 3.111505, 3.104506, 
    3.097507, 3.093008, 3.093059, 3.108759, 3.170408, 3.257258, 3.354607, 
    3.462407, 3.567906, 3.658257, 3.742657, 3.833108, 3.911509, 3.952009, 
    3.981309, 4.006108, 4.013958, 3.998006, 3.971905, 3.942153, 3.914052, 
    3.887001, 3.851551, 3.800751, 3.748551, 3.727252, 3.749003, 3.810654, 
    3.886806, 3.955507, 4.006708, 4.040709, 4.047861, 4.036511, 4.006261, 
    3.949261, 3.88206, 3.833009, 3.804258, 3.798608, 3.815258, 3.860008, 
    3.943958, 4.187555, 4.542551, 4.886747, 5.174243, 5.378391, 5.47899, 
    5.498739, 5.472289, 5.373439, 5.110443, 4.822998, 4.594001, 4.486805, 
    4.495559, 4.57351, 4.667211, 4.749011, 4.80651, 4.839261, 4.82546, 
    4.721811, 4.543711, 4.382511, 4.264711, 4.222462, 4.249963, 4.275263, 
    4.299163, 4.327963, 4.379263, 4.428513, 1.334404, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.7491, 1.74395, 1.74025, 1.739001, 1.744351, 1.756401, 1.773002, 
    1.793453, 1.818553, 1.844504, 1.868505, 1.890055, 1.907756, 1.914356, 
    1.913006, 1.910607, 1.912207, 1.938207, 1.981508, 2.031808, 2.088309, 
    2.135309, 2.168259, 2.186158, 2.189858, 2.179807, 2.149755, 2.103604, 
    2.042803, 1.979502, 1.930001, 1.895201, 1.884051, 1.8927, 1.91025, 
    1.92815, 1.950449, 1.973099, 1.992999, 2.009748, 2.017848, 2.010597, 
    2.001996, 1.996196, 1.985395, 1.964694, 0.9749968, 0, 0, 0, 0, 0, 0, 0, 
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    3.149152, 3.165252, 3.175052, 3.185002, 3.207901, 3.238251, 3.2721, 
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    3.31275, 3.3085, 3.297651, 3.280251, 3.259752, 3.233302, 3.197203, 
    3.149054, 3.109756, 3.067658, 1.532688, 0, 0.5679135, 0.3407481, 0, 
    0.4197029, 1.330509, 1.215456, 1.190655, 1.003677, 0.5754123, 0.1724737, 
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    1.319498, 1.395897, 1.490996, 1.609945, 1.736994, 1.864045, 2.001094, 
    2.134495, 2.256995, 2.365845, 2.463046, 2.530097, 2.574747, 2.621846, 
    2.661646, 2.692495, 2.715995, 2.741244, 2.770343, 2.797343, 2.821492, 
    2.846343, 2.872543, 2.899293, 2.924743, 2.951594, 2.982345, 3.011745, 
    3.038746, 3.064697, 3.090747, 3.112848, 3.128999, 3.141649, 3.15075, 
    3.1556, 3.15725, 3.156801, 3.154851, 3.150951, 3.146752, 3.142552, 
    3.138952, 3.135252,
  3.086506, 3.084056, 3.078057, 3.064259, 3.04351, 3.024162, 3.003513, 
    2.983015, 2.967766, 2.960917, 2.975017, 3.040367, 3.136765, 3.244365, 
    3.358564, 3.465264, 3.554014, 3.633314, 3.715115, 3.785166, 3.821516, 
    3.852266, 3.884265, 3.902464, 3.899513, 3.888862, 3.87711, 3.865708, 
    3.849007, 3.819006, 3.768206, 3.713507, 3.685757, 3.695108, 3.738461, 
    3.793513, 3.843265, 3.876217, 3.89122, 3.886371, 3.871521, 3.84477, 
    3.798019, 3.745017, 3.707766, 3.685915, 3.684714, 3.705713, 3.750763, 
    3.833614, 4.096313, 4.49656, 4.885005, 5.206253, 5.438649, 5.556698, 
    5.584997, 5.560797, 5.457047, 5.162099, 4.824254, 4.547658, 4.392914, 
    4.362818, 4.41852, 4.502222, 4.584971, 4.645271, 4.68102, 4.66882, 
    4.56192, 4.390419, 4.234018, 4.118917, 4.070967, 4.089368, 4.115767, 
    4.137267, 4.169167, 4.223115, 4.280514, 2.79476, 1.934358, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5278502, 1.756501, 
    1.750001, 1.743601, 1.738451, 1.734251, 1.731451, 1.732351, 1.738752, 
    1.748753, 1.762253, 1.778954, 1.795405, 1.811506, 1.825857, 1.836958, 
    1.839908, 1.837008, 1.833058, 1.831308, 1.849259, 1.88526, 1.929311, 
    1.980611, 2.026462, 2.060512, 2.081611, 2.092161, 2.094059, 2.079757, 
    2.050406, 2.005154, 1.954253, 1.912502, 1.882301, 1.875701, 1.8907, 
    1.913499, 1.934899, 1.958949, 1.983049, 2.004999, 2.025899, 2.042298, 
    2.044297, 2.045496, 2.045295, 2.040695, 2.031143, 1.012246, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.7631745, 1.535101, 2.933434, 3.08125, 3.074501, 3.076151, 3.097251, 
    3.126752, 3.139002, 3.149852, 3.165951, 3.194901, 3.2305, 3.2675, 
    3.30085, 3.3166, 3.3185, 3.31935, 3.31895, 3.31755, 3.31575, 3.3136, 
    3.31105, 3.308751, 3.306501, 3.3053, 3.3045, 3.304151, 3.305251, 3.3067, 
    3.308901, 3.310001, 3.308751, 3.302251, 3.287101, 3.264252, 3.237003, 
    3.201704, 3.153455, 3.096056, 3.040508, 2.965711, 0.2946512, 0, 
    0.5681299, 0.340878, 0, 0.3879029, 1.241258, 1.162903, 1.148102, 
    1.145202, 1.143002, 0.7378601, 0.5059842, 0, 0, 0, 0.558648, 1.12635, 
    1.13875, 1.167249, 1.212849, 1.273048, 1.347996, 1.437295, 1.547693, 
    1.677292, 1.807992, 1.933093, 2.070043, 2.198194, 2.312994, 2.416595, 
    2.504596, 2.568946, 2.619495, 2.670045, 2.715644, 2.753643, 2.783743, 
    2.813842, 2.846792, 2.877093, 2.902493, 2.926143, 2.949443, 2.971594, 
    2.991994, 3.012745, 3.035796, 3.056797, 3.075748, 3.093648, 3.1113, 
    3.1257, 3.135251, 3.142001, 3.145752, 3.145552, 3.143253, 3.139203, 
    3.132904, 3.124904, 3.116755, 3.108605, 3.101005, 3.094006,
  3.022011, 3.016412, 3.000764, 2.972966, 2.939518, 2.90782, 2.874022, 
    2.840674, 2.814525, 2.799227, 2.810627, 2.882126, 2.988024, 3.104423, 
    3.223823, 3.331323, 3.417773, 3.492674, 3.568075, 3.631326, 3.663776, 
    3.694826, 3.730526, 3.756525, 3.764773, 3.768121, 3.773419, 3.776567, 
    3.770015, 3.745964, 3.695014, 3.636165, 3.601516, 3.599418, 3.62547, 
    3.661723, 3.692775, 3.709827, 3.711279, 3.701029, 3.688278, 3.669227, 
    3.635975, 3.596373, 3.569522, 3.554921, 3.55812, 3.580921, 3.623521, 
    3.702522, 3.963423, 4.38707, 4.803267, 5.148765, 5.402112, 5.53296, 
    5.568259, 5.546509, 5.441759, 5.135759, 4.765264, 4.453218, 4.258973, 
    4.196177, 4.230031, 4.302032, 4.384283, 4.449182, 4.489031, 4.48058, 
    4.379929, 4.220327, 4.074775, 3.971222, 3.926321, 3.940322, 3.969771, 
    3.990472, 4.017624, 4.064528, 4.127527, 4.184929, 3.775379, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.08797315, 1.142162, 
    1.751251, 1.744501, 1.738101, 1.732801, 1.727751, 1.723401, 1.721301, 
    1.723402, 1.728253, 1.736254, 1.744805, 1.751306, 1.759508, 1.768058, 
    1.774209, 1.775859, 1.775008, 1.772058, 1.768058, 1.780409, 1.811009, 
    1.84931, 1.895811, 1.939511, 1.972511, 1.993612, 2.007962, 2.01936, 
    2.019008, 2.004656, 1.973904, 1.933703, 1.898502, 1.871352, 1.868401, 
    1.8894, 1.91675, 1.940949, 1.965949, 1.990549, 2.012749, 2.035649, 
    2.057498, 2.066998, 2.071498, 1.34507, 1.136183, 1.757642, 0.5144069, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.546677, 3.087847, 3.079747, 3.082497, 3.102047, 3.127048, 
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    3.31425, 3.3165, 3.3177, 3.31745, 3.31605, 3.314, 3.3116, 3.30895, 
    3.305601, 3.302751, 3.301301, 3.300051, 3.299501, 3.300501, 3.302201, 
    3.304401, 3.305501, 3.303501, 3.294851, 3.275502, 3.246603, 3.212004, 
    3.167955, 3.107757, 3.045258, 2.250731, 1.458645, 0.2689562, 1.202733, 
    0.5548307, 0, 0, 0.3691519, 1.195504, 1.144752, 1.134152, 1.131202, 
    1.128252, 1.123552, 1.062135, 0.3883815, 0, 0, 0.5586862, 1.12525, 
    1.140999, 1.173899, 1.226348, 1.293697, 1.376496, 1.476445, 1.598593, 
    1.735692, 1.865243, 1.987793, 2.120794, 2.242845, 2.351746, 2.449096, 
    2.535696, 2.606745, 2.662494, 2.712644, 2.759694, 2.800894, 2.833745, 
    2.864845, 2.896345, 2.925145, 2.948746, 2.970246, 2.989897, 3.007547, 
    3.023248, 3.038599, 3.0544, 3.068651, 3.080751, 3.091803, 3.102403, 
    3.111004, 3.116005, 3.118556, 3.118256, 3.114156, 3.108507, 3.101457, 
    3.091008, 3.079359, 3.067009, 3.05501, 3.04311, 3.032911,
  2.936518, 2.92567, 2.897722, 2.856325, 2.810527, 2.766829, 2.720582, 
    2.675484, 2.639285, 2.616037, 2.626087, 2.702986, 2.815785, 2.939784, 
    3.063133, 3.170733, 3.254034, 3.323685, 3.392486, 3.448188, 3.475789, 
    3.50409, 3.53989, 3.571639, 3.589787, 3.606185, 3.626383, 3.64313, 
    3.646029, 3.627578, 3.577227, 3.514328, 3.472279, 3.458231, 3.469484, 
    3.490787, 3.508788, 3.51594, 3.51219, 3.503389, 3.497037, 3.488235, 
    3.469283, 3.441631, 3.422279, 3.412029, 3.416028, 3.437179, 3.47628, 
    3.55073, 3.807681, 4.238182, 4.669529, 5.031577, 5.300724, 5.441772, 
    5.482521, 5.463071, 5.358221, 5.048271, 4.662023, 4.325827, 4.100882, 
    4.011786, 4.026789, 4.088341, 4.168791, 4.23889, 4.283539, 4.280588, 
    4.190786, 4.047533, 3.919779, 3.831925, 3.789326, 3.797727, 3.826528, 
    3.84133, 3.852982, 3.877987, 3.926292, 3.964447, 3.556747, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.8823302, 1.755451, 1.745751, 
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    1.711253, 1.713554, 1.712756, 1.709358, 1.710259, 1.71361, 1.71746, 
    1.72106, 1.725508, 1.727157, 1.726406, 1.739155, 1.766755, 1.801706, 
    1.845306, 1.886257, 1.915508, 1.932159, 1.945309, 1.961609, 1.971758, 
    1.970005, 1.951103, 1.918702, 1.42018, 0.9332061, 0.9326059, 0.9446105, 
    1.442931, 1.26216, 0.9848258, 1.298615, 2.017999, 2.041499, 2.064999, 
    2.075549, 2.0785, 0.6237, 0.1039897, 0.7279278, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.3102998, 3.100598, 3.100995, 3.114692, 3.135991, 3.155042, 3.157493, 
    3.163094, 3.184344, 3.218994, 3.253745, 3.281147, 3.301749, 3.311251, 
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    3.302601, 3.2995, 3.297101, 3.295501, 3.294501, 3.295501, 3.297551, 
    3.299451, 3.300351, 3.297251, 3.286452, 3.262902, 3.228104, 3.186255, 
    3.133207, 3.061859, 2.99331, 1.479505, 0.9411406, 1.390164, 2.346873, 
    1.082261, 0, 0.06357572, 0.8038316, 1.174753, 1.137401, 1.125651, 
    1.121701, 1.118501, 1.113551, 1.110551, 0.9424368, 0.2768943, 0, 
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    1.508444, 1.637193, 1.778843, 1.904244, 2.023345, 2.152195, 2.273295, 
    2.377996, 2.471146, 2.559147, 2.632997, 2.689497, 2.737948, 2.783648, 
    2.823249, 2.855249, 2.884799, 2.91385, 2.9399, 2.960751, 2.979151, 
    2.994902, 3.008353, 3.019254, 3.029455, 3.039406, 3.047807, 3.054508, 
    3.060159, 3.06591, 3.07011, 3.072011, 3.071811, 3.068312, 3.061562, 
    3.053262, 3.043213, 3.029414, 3.013615, 2.997515, 2.981416, 2.965217, 
    2.951818,
  2.829027, 2.811878, 2.771682, 2.717334, 2.659537, 2.604189, 2.546142, 
    2.490095, 2.444547, 2.414748, 2.425198, 2.505397, 2.623046, 2.752595, 
    2.879295, 2.985345, 3.064046, 3.127348, 3.1875, 3.234403, 3.256054, 
    3.279805, 3.313256, 3.348455, 3.375053, 3.402701, 3.435398, 3.464046, 
    3.475044, 3.461543, 3.412593, 3.347643, 3.299044, 3.275296, 3.274948, 
    3.28485, 3.296052, 3.300251, 3.298, 3.295049, 3.296547, 3.298394, 
    3.293291, 3.278888, 3.266786, 3.259586, 3.263385, 3.282086, 3.318037, 
    3.388288, 3.640589, 4.066541, 4.500543, 4.871192, 5.15049, 5.298189, 
    5.341789, 5.323789, 5.219788, 4.910788, 4.522537, 4.174887, 3.928491, 
    3.818595, 3.818548, 3.8717, 3.952599, 4.028098, 4.078047, 4.081445, 
    4.004542, 3.884086, 3.777781, 3.704028, 3.659379, 3.657032, 3.678284, 
    3.686586, 3.685738, 3.686693, 3.702801, 3.704912, 3.304658, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.09210774, 0.9179288, 0.9045849, 
    0.8919408, 1.67626, 1.750501, 1.739252, 1.730802, 1.724052, 1.718302, 
    1.713002, 1.707002, 1.701602, 1.698202, 1.697503, 1.693304, 1.682806, 
    1.670558, 1.66526, 1.66486, 1.66876, 1.677209, 1.689007, 1.698355, 
    1.708002, 1.72645, 1.754749, 1.788999, 1.831199, 1.8689, 1.892002, 
    1.902503, 1.911054, 1.927155, 1.943254, 1.950602, 1.940351, 1.62853, 
    0.4742174, 0, 0, 0, 0.4839718, 0.2903831, 0, 0.3017883, 1.010713, 
    1.022469, 1.967096, 2.07795, 1.559488, 0.311993, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.1554213, 2.021247, 3.129243, 3.164287, 3.191935, 3.203237, 3.198489, 
    3.198991, 3.218192, 3.249443, 3.277995, 3.294298, 3.300551, 3.301254, 
    3.304004, 3.307453, 3.310352, 3.310851, 3.309001, 3.306101, 3.303401, 
    3.299601, 3.296001, 3.292401, 3.290051, 3.289001, 2.468378, 1.648456, 
    3.129577, 3.294551, 3.290252, 3.277202, 3.249303, 3.208755, 3.160506, 
    3.099308, 3.01776, 2.942811, 2.137941, 2.262426, 2.480574, 1.935611, 
    0.5274918, 0, 0.6858937, 1.237803, 1.1675, 1.13535, 1.121701, 1.116551, 
    1.113501, 1.1101, 1.10855, 1.108, 0.830873, 0.1661238, 0.05607427, 
    0.7339199, 1.1495, 1.192498, 1.255197, 1.123042, 0.7078245, 1.312397, 
    1.667594, 1.807945, 1.928746, 2.042897, 2.167148, 2.28725, 2.388001, 
    2.477552, 2.563052, 2.633903, 2.688004, 2.734754, 2.778204, 2.815805, 
    2.846006, 2.873406, 2.899257, 2.921158, 2.938509, 2.95306, 2.964911, 
    2.974162, 2.980763, 2.986663, 2.991915, 2.995765, 2.998516, 3.000917, 
    3.003417, 3.004817, 3.005018, 3.002768, 2.997268, 2.988119, 2.97752, 
    2.96482, 2.947871, 2.928222, 2.908023, 2.887474, 2.867675, 2.850575,
  2.700037, 2.676939, 2.625142, 2.558645, 2.490048, 2.4239, 2.354703, 
    2.288506, 2.235058, 2.200859, 2.212158, 2.293858, 2.413558, 2.545508, 
    2.674008, 2.777658, 2.85056, 2.905962, 2.956015, 2.992968, 3.00807, 
    3.027371, 3.057572, 3.094471, 3.12782, 3.163968, 3.206816, 3.244364, 
    3.261563, 3.251812, 3.205011, 3.140061, 3.087811, 3.057963, 3.050014, 
    3.053765, 3.064064, 3.071213, 3.07511, 3.080158, 3.090306, 3.102203, 
    3.1099, 3.108647, 3.104045, 3.099794, 3.103844, 3.121644, 3.155294, 
    3.222545, 3.468696, 3.88275, 4.305305, 4.671508, 4.95111, 5.10021, 
    5.144061, 5.12806, 5.026958, 4.723106, 4.343053, 3.99975, 3.7449, 
    3.622602, 3.611305, 3.658456, 3.739956, 3.820655, 3.875554, 3.885652, 
    3.826196, 3.73229, 3.647284, 3.58748, 3.542629, 3.527182, 3.534537, 
    3.535939, 3.527041, 2.99477, 2.639509, 3.455411, 1.755512, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.9408945, 1.841647, 1.811999, 1.7848, 
    1.761851, 1.744552, 1.732002, 1.722952, 1.715602, 1.709802, 1.704502, 
    1.698502, 1.693002, 1.688402, 1.685004, 1.673905, 1.654358, 1.63421, 
    1.624011, 1.621861, 1.62761, 1.642659, 1.663006, 1.683353, 1.708148, 
    1.737294, 1.769993, 1.806542, 1.848491, 1.882243, 1.898994, 1.903846, 
    1.906248, 1.918849, 1.936249, 1.948748, 1.847149, 0.67236, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.9336499, 1.040057, 0.5200285, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.4682507, 2.374663, 3.217536, 3.252735, 3.254488, 3.24099, 3.234842, 
    3.249493, 3.273845, 3.293248, 3.297251, 3.288705, 3.279707, 3.284756, 
    3.292605, 3.300303, 3.304602, 3.305251, 3.303101, 3.300401, 3.296601, 
    3.292251, 3.287551, 3.284101, 3.282502, 1.641251, 0, 2.958802, 3.287402, 
    3.282002, 3.266803, 3.235204, 3.189405, 3.135007, 3.066608, 2.975311, 
    2.895612, 2.783015, 2.610567, 2.398516, 1.563461, 0.4450115, 0.8253076, 
    1.324907, 1.234198, 1.168999, 1.1346, 1.11925, 1.113401, 1.11075, 1.1088, 
    1.10805, 1.108, 1.108, 0.720342, 0.6133814, 1.1268, 1.151, 1.197599, 
    1.264648, 0.9257479, 0, 1.106697, 1.687147, 1.823448, 1.936251, 2.042403, 
    2.160555, 2.274057, 2.370259, 2.45561, 2.537561, 2.605312, 2.657012, 
    2.701363, 2.742264, 2.777714, 2.805265, 2.829666, 2.851267, 2.868618, 
    2.88177, 2.892121, 2.900372, 2.905922, 2.909274, 2.911924, 2.913975, 
    2.915175, 2.915776, 2.916376, 2.916976, 2.917176, 2.916277, 2.912577, 
    2.905727, 2.894678, 2.882028, 2.866579, 2.84638, 2.823031, 2.798282, 
    2.773883, 2.750234, 2.729535,
  2.550049, 2.521351, 2.460053, 2.383256, 2.305309, 2.230161, 2.150814, 
    2.075717, 2.016068, 1.979169, 1.991419, 2.071919, 2.19032, 2.321321, 
    2.448872, 2.549473, 2.616825, 2.664227, 2.703031, 2.729334, 2.738336, 
    2.752937, 2.780238, 2.817388, 2.854587, 2.895986, 2.945735, 2.988933, 
    3.009583, 3.001533, 2.956982, 2.893731, 2.840831, 2.808231, 2.797082, 
    2.799082, 2.812331, 2.826628, 2.840524, 2.854921, 2.874069, 2.895666, 
    2.915012, 2.926208, 2.930305, 2.930903, 2.937402, 2.957151, 2.990551, 
    3.056501, 3.293704, 3.69016, 4.090818, 4.438276, 4.707581, 4.853282, 
    4.896583, 4.884231, 4.789429, 4.498173, 4.135316, 3.80921, 3.560456, 
    3.434655, 3.415557, 3.457009, 3.53681, 3.62041, 3.680058, 3.698755, 
    3.659499, 3.591341, 3.527035, 3.48373, 3.44038, 3.412483, 3.404038, 
    2.233254, 1.726458, 1.199135, 1.642778, 2.150481, 0.166402, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5054399, 0.9874441, 1.801637, 1.849998, 
    1.815249, 1.78435, 1.758351, 1.738602, 1.724752, 1.714753, 1.707152, 
    1.701653, 1.696253, 1.690852, 1.685502, 1.680752, 1.674003, 1.655355, 
    1.627458, 1.60051, 1.586261, 1.583211, 1.59196, 1.614757, 1.643755, 
    1.676951, 1.718946, 1.762191, 1.803488, 1.845835, 1.890084, 1.920535, 
    1.932236, 1.932037, 1.928839, 1.93709, 1.953241, 1.966941, 0.9774274, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1.615993, 3.268034, 3.301737, 3.292891, 3.271993, 3.260544, 3.271145, 
    3.286848, 3.294002, 3.284707, 3.26341, 3.251609, 3.261258, 3.274406, 
    3.287704, 3.296353, 3.300002, 3.299801, 3.297401, 3.293601, 3.288751, 
    3.282851, 1.968905, 3.275502, 1.637751, 1.145197, 3.115202, 3.279253, 
    3.272503, 3.255254, 3.220604, 3.170206, 3.110257, 3.034909, 2.935362, 
    2.852862, 2.735512, 2.560061, 2.242028, 0.7722232, 0.8895006, 1.654048, 
    1.410846, 1.233203, 1.163504, 1.132301, 1.11825, 1.11205, 1.11, 1.1083, 
    1.108, 1.108, 1.108, 1.1087, 1.11465, 1.1263, 1.151, 1.19915, 1.20264, 
    0.6755559, 0.3507848, 1.11195, 1.688303, 1.816307, 1.91751, 2.015213, 
    2.125615, 2.231917, 2.322519, 2.403671, 2.481672, 2.546573, 2.595773, 
    2.637974, 2.676624, 2.708626, 2.733027, 2.753228, 2.76983, 2.782432, 
    2.791283, 2.797684, 2.802835, 2.805485, 2.806786, 2.807386, 2.807987, 
    2.808037, 2.808037, 2.808037, 2.808037, 2.808037, 2.806787, 2.802387, 
    2.794237, 2.781588, 2.766788, 2.748489, 2.72524, 2.697642, 2.669043, 
    2.640444, 2.612795, 2.588346,
  2.379563, 2.346314, 2.277116, 2.192969, 2.107571, 2.024973, 1.937375, 
    1.854878, 1.790579, 1.751829, 1.76368, 1.840881, 1.955583, 2.083234, 
    2.206436, 2.302788, 2.36509, 2.405692, 2.434045, 2.450048, 2.452601, 
    2.462502, 2.485504, 2.521705, 2.560605, 2.604404, 2.656804, 2.703053, 
    2.725603, 2.719102, 2.676651, 2.61685, 2.565349, 2.532399, 2.520749, 
    2.524197, 2.541346, 2.563744, 2.58809, 2.613187, 2.641333, 2.67263, 
    2.704076, 2.728071, 2.742567, 2.751814, 2.764311, 2.788209, 2.825057, 
    2.890957, 3.115013, 3.485523, 3.854836, 4.173747, 4.423356, 4.561509, 
    4.605608, 4.598956, 4.515851, 4.24904, 3.916826, 3.620314, 3.391105, 
    3.270551, 3.247552, 3.283703, 3.359105, 3.442205, 3.505055, 3.531503, 
    3.508449, 3.462942, 3.418536, 3.390581, 3.344633, 3.304637, 2.478348, 
    0.5014964, 0.1551427, 1.544232, 1.563024, 1.510318, 1.437856, 0.9786233, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3162813, 1.542133, 1.982396, 1.909547, 
    1.855598, 1.817249, 1.7831, 1.754401, 1.732802, 1.717752, 1.706902, 
    1.699602, 1.694002, 1.688503, 1.684052, 1.679502, 1.675401, 1.666252, 
    1.641004, 1.605656, 1.573458, 1.556009, 1.552209, 1.563709, 1.593357, 
    1.630504, 1.67605, 1.734394, 1.792689, 1.844985, 1.895532, 1.94463, 
    1.97393, 1.982481, 1.978082, 1.970384, 1.974835, 1.988736, 1.293676, 
    0.09926856, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.8145626, 2.81658, 3.335341, 3.317394, 3.291245, 
    3.275946, 3.282298, 3.288851, 3.283505, 3.261359, 3.231811, 3.223309, 
    3.238008, 3.256206, 3.274204, 3.287253, 3.294002, 3.295851, 3.293951, 
    3.290451, 3.285001, 2.133044, 0.3277764, 2.126392, 2.449437, 2.777914, 
    3.270903, 3.270453, 3.262254, 3.243204, 3.205605, 3.151806, 3.087507, 
    3.006409, 2.900311, 2.816061, 2.699012, 2.525261, 2.103059, 0, 0.8912481, 
    1.666643, 1.432289, 1.233547, 0.8734461, 0.9600177, 1.119199, 1.112549, 
    1.110749, 1.109649, 1.109499, 1.109349, 1.108999, 1.109699, 1.1147, 
    1.1255, 1.149251, 1.196802, 1.133952, 0.4192514, 1.066498, 1.321755, 
    1.662464, 1.778468, 1.870021, 1.960174, 2.061677, 2.15978, 2.244282, 
    2.321084, 2.395285, 2.457336, 2.504037, 2.544088, 2.580089, 2.60874, 
    2.629541, 2.645442, 2.657743, 2.665395, 2.670546, 2.674297, 2.676948, 
    2.678198, 2.678548, 2.678548, 2.678548, 2.678548, 2.678548, 2.678548, 
    2.678548, 2.678548, 2.677298, 2.672199, 2.662749, 2.648499, 2.6313, 
    2.610601, 2.583752, 2.552254, 2.519805, 2.487006, 2.455258, 2.42616,
  2.190576, 2.154527, 2.079228, 1.98993, 1.899831, 1.811483, 1.717885, 
    1.629837, 1.562338, 1.522138, 1.531939, 1.603892, 1.712595, 1.834947, 
    1.952499, 2.043751, 2.102102, 2.138053, 2.158906, 2.166059, 2.16311, 
    2.168212, 2.185764, 2.219416, 2.257866, 2.300518, 2.351419, 2.39772, 
    2.42087, 2.416019, 2.376318, 2.321066, 2.273115, 2.241264, 2.230813, 
    2.236463, 2.257611, 2.286459, 2.319706, 2.354952, 2.392099, 2.432745, 
    2.475642, 2.512087, 2.537583, 2.556779, 2.578275, 2.610171, 2.653818, 
    2.720917, 2.926276, 3.258343, 3.588359, 3.874273, 4.097933, 4.226487, 
    4.273635, 4.274582, 4.210323, 3.983405, 3.699582, 3.447962, 3.251547, 
    3.145789, 3.123039, 3.15489, 3.223743, 3.302246, 3.364297, 3.393097, 
    3.377995, 3.348591, 3.321785, 3.304782, 3.252035, 2.732, 0.8071205, 0, 
    1.50553, 3.01341, 2.200483, 2.433814, 2.800809, 2.291494, 0.6405068, 0, 
    0, 0, 0, 0, 0, 0.342936, 1.139373, 0.3406877, 0, 0.6340492, 2.076997, 
    1.992197, 1.916548, 1.859499, 1.8185, 1.78205, 1.750951, 1.727502, 
    1.711253, 1.699903, 1.692603, 1.687153, 1.682252, 1.678402, 1.675002, 
    1.672051, 1.661001, 1.630354, 1.588756, 1.551408, 1.53026, 1.524861, 
    1.53841, 1.573808, 1.618755, 1.67595, 1.750444, 1.824988, 1.889482, 
    1.949079, 2.003327, 2.033276, 2.040726, 2.033477, 2.022228, 2.02178, 
    1.517378, 0.3026327, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3991427, 0.6652378, 0, 0, 0, 0, 2.350591, 3.363988, 
    3.338341, 3.308242, 3.289694, 3.291845, 3.288649, 3.272003, 3.240306, 
    3.206158, 3.198858, 3.217757, 3.240156, 3.262154, 3.278503, 3.288002, 
    3.291552, 3.290401, 3.286952, 3.281001, 0.9832506, 0, 0.4899767, 2.44638, 
    3.260203, 3.261854, 3.260804, 3.251754, 3.231154, 3.191605, 3.135706, 
    3.068007, 2.982459, 2.872359, 2.790307, 2.675505, 2.504354, 2.088252, 0, 
    0.9022437, 1.691089, 1.389095, 0.6197264, 0.2949768, 0.3951038, 0.616388, 
    1.115548, 1.113998, 1.113498, 1.113448, 1.112848, 1.112248, 1.111999, 
    1.1156, 1.123751, 1.144503, 1.189054, 1.124305, 0.4135529, 1.416761, 
    1.510667, 1.611323, 1.715228, 1.798032, 1.879086, 1.969741, 2.057845, 
    2.134798, 2.206151, 2.276352, 2.335254, 2.379804, 2.417355, 2.451106, 
    2.477507, 2.495557, 2.508708, 2.518159, 2.52231, 2.52531, 2.527611, 
    2.529011, 2.529561, 2.529561, 2.529561, 2.529561, 2.529561, 2.529561, 
    2.529561, 2.529561, 2.529411, 2.527562, 2.521862, 2.511212, 2.495213, 
    2.476063, 2.452715, 2.422316, 2.387217, 2.350569, 2.313571, 2.277722, 
    2.243973,
  1.98559, 1.948141, 1.869741, 1.777192, 1.684343, 1.593244, 1.495895, 
    1.404245, 1.334596, 1.293297, 1.301047, 1.365951, 1.467104, 1.582607, 
    1.69416, 1.781661, 1.838361, 1.872661, 1.888812, 1.890614, 1.885114, 
    1.885916, 1.897818, 1.926671, 1.962123, 2.000375, 2.046478, 2.08913, 
    2.110132, 2.105232, 2.06903, 2.020077, 1.976625, 1.946824, 1.937324, 
    1.944074, 1.967873, 2.001122, 2.04082, 2.083617, 2.127865, 2.176312, 
    2.229158, 2.276454, 2.3126, 2.342095, 2.37479, 2.417735, 2.470581, 
    2.540229, 2.719592, 3.005562, 3.293629, 3.545644, 3.746002, 3.868203, 
    3.921899, 3.933244, 3.893183, 3.721857, 3.49883, 3.303105, 3.151284, 
    3.070221, 3.056014, 3.084865, 3.146768, 3.21917, 3.27902, 3.309469, 
    3.29542, 3.266824, 3.24128, 3.219237, 3.003123, 1.106938, 0, 1.017636, 
    2.781333, 2.863761, 2.803309, 2.737957, 2.661403, 2.568448, 1.854264, 
    1.167759, 0.2258583, 0.7724943, 0, 0.7826356, 1.124046, 1.473981, 
    2.270259, 1.462188, 1.105212, 1.394655, 2.081249, 1.997199, 1.920998, 
    1.862399, 1.81925, 1.781001, 1.747951, 1.722702, 1.705252, 1.693053, 
    1.685653, 1.680952, 1.677252, 1.674251, 1.671551, 1.669701, 1.657501, 
    1.622203, 1.575205, 1.532207, 1.506759, 1.49881, 1.51361, 1.553958, 
    1.606006, 1.674151, 1.765494, 1.857586, 1.93548, 2.004277, 2.063225, 
    2.095573, 2.103223, 2.094424, 2.079575, 1.758845, 0.5129347, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.109557, 1.526982, 
    1.915504, 1.363493, 1.478445, 1.565271, 1.639358, 2.873316, 3.393338, 
    3.359942, 3.326493, 3.305294, 3.302996, 3.290599, 3.264003, 3.225505, 
    3.187757, 3.179607, 3.201506, 3.227255, 3.252553, 3.270953, 3.282252, 
    3.286902, 3.286802, 3.283601, 2.460195, 0.4916667, 0, 0, 1.625252, 
    3.251204, 3.252404, 3.251304, 3.241754, 3.220304, 3.180104, 3.123704, 
    3.055253, 2.969302, 2.8603, 2.784447, 2.672747, 2.4998, 2.082153, 0, 
    0.9109995, 1.702652, 1.324355, 0, 0, 0, 0.05594741, 0.7280808, 1.120996, 
    1.120147, 1.119847, 1.118197, 1.116748, 1.115298, 1.11605, 1.120352, 
    1.136504, 1.175057, 0.68147, 0.6495465, 1.049299, 1.461224, 1.543682, 
    1.633538, 1.705543, 1.775798, 1.853404, 1.929659, 1.996814, 2.060817, 
    2.12587, 2.180822, 2.223573, 2.259323, 2.291574, 2.316374, 2.333574, 
    2.345525, 2.353225, 2.356025, 2.357826, 2.359276, 2.360026, 2.360076, 
    2.360076, 2.360076, 2.360076, 2.360076, 2.360076, 2.360076, 2.360076, 
    2.359926, 2.358076, 2.352026, 2.340177, 2.322278, 2.301079, 2.27498, 
    2.241281, 2.202183, 2.161335, 2.120486, 2.080788, 2.043589,
  1.779093, 1.741293, 1.662193, 1.568393, 1.474593, 1.382543, 1.283394, 
    1.189794, 1.118345, 1.075596, 1.081048, 1.137552, 1.229607, 1.336711, 
    1.441864, 1.526366, 1.582366, 1.616666, 1.631316, 1.631916, 1.627364, 
    1.625965, 1.632666, 1.65497, 1.685123, 1.717726, 1.757479, 1.793932, 
    1.811134, 1.805933, 1.774281, 1.732927, 1.693875, 1.666374, 1.656275, 
    1.661427, 1.684378, 1.71783, 1.75903, 1.805679, 1.854378, 1.908675, 
    1.970222, 2.027667, 2.074112, 2.114258, 2.159302, 2.214296, 2.277092, 
    2.352488, 2.501901, 2.740773, 2.987642, 3.208955, 3.393811, 3.51531, 
    3.579404, 3.604647, 3.588986, 3.482405, 3.327322, 3.190445, 3.085025, 
    3.031064, 3.029009, 3.058108, 3.117308, 3.187857, 3.246758, 3.276609, 
    3.258113, 3.220417, 3.183521, 3.144878, 1.555804, 0, 0, 1.019445, 
    2.659936, 2.732455, 2.676553, 2.617499, 2.550995, 2.469939, 2.391533, 
    2.308927, 1.331284, 1.868451, 1.09823, 1.888351, 2.23891, 2.25221, 
    2.251008, 2.236856, 2.207554, 2.1551, 2.083498, 2.001048, 1.924898, 
    1.864799, 1.8195, 1.779101, 1.743952, 1.717053, 1.699003, 1.686553, 
    1.679652, 1.675752, 1.673002, 1.670952, 1.669051, 1.667701, 1.655001, 
    1.616752, 1.564704, 1.516507, 1.486759, 1.47591, 1.490361, 1.534309, 
    1.592507, 1.670652, 1.778045, 1.887188, 1.978232, 2.055628, 2.118626, 
    2.153176, 2.162225, 2.153075, 2.027225, 0.7356817, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.2123065, 2.18127, 
    2.424571, 2.687089, 2.958001, 3.146238, 3.30323, 3.411226, 3.430428, 
    3.388283, 3.348987, 3.32334, 3.314893, 3.294347, 3.259751, 3.215703, 
    3.174405, 3.165705, 3.190004, 3.217804, 3.245003, 3.264603, 3.276503, 
    3.281752, 3.282352, 3.280102, 1.639001, 0, 0, 0, 1.621252, 3.242854, 
    3.243904, 3.242804, 3.233004, 3.210954, 3.171104, 3.116103, 3.051001, 
    2.969098, 2.864996, 2.795193, 2.682245, 2.501749, 2.080548, 0, 0.9142475, 
    1.125533, 0.6597614, 0, 0, 0, 0, 0.3395983, 1.131494, 1.130294, 1.128795, 
    1.125097, 1.121747, 1.119448, 1.116599, 1.116802, 1.128503, 0.7534835, 
    0.6013191, 0.4452626, 0.6825125, 1.40073, 1.463889, 1.537547, 1.597803, 
    1.657357, 1.721014, 1.78382, 1.840575, 1.896279, 1.954532, 2.005234, 
    2.045336, 2.078787, 2.109138, 2.132589, 2.14884, 2.159841, 2.166291, 
    2.168392, 2.169342, 2.170292, 2.170592, 2.170592, 2.170592, 2.170592, 
    2.170592, 2.170592, 2.170592, 2.170592, 2.170592, 2.170592, 2.168843, 
    2.162193, 2.149693, 2.130993, 2.108593, 2.081293, 2.045793, 2.004593, 
    1.961593, 1.919293, 1.877792, 1.838943,
  1.587093, 1.549642, 1.471292, 1.380538, 1.293082, 1.207026, 1.113819, 
    1.025313, 0.9570589, 0.9150572, 0.9177085, 0.9661619, 1.044571, 1.135931, 
    1.227542, 1.30205, 1.351107, 1.38196, 1.395911, 1.397361, 1.39486, 
    1.39271, 1.395013, 1.410966, 1.434869, 1.461921, 1.495374, 1.524728, 
    1.53863, 1.533979, 1.507926, 1.474572, 1.441368, 1.416916, 1.405717, 
    1.407718, 1.425621, 1.453675, 1.492627, 1.539627, 1.590127, 1.647277, 
    1.713476, 1.778474, 1.83362, 1.884914, 1.943158, 2.009402, 2.080599, 
    2.163695, 2.286707, 2.481427, 2.690395, 2.887106, 3.06216, 3.187857, 
    3.26365, 3.304792, 3.313879, 3.272297, 3.185315, 3.104288, 3.03842, 
    3.005161, 3.00876, 3.036862, 3.095214, 3.164266, 3.219769, 3.243073, 
    3.219724, 3.174129, 2.360557, 1.558869, 0.1552562, 0, 0, 0, 2.422137, 
    2.636138, 2.585285, 2.534081, 2.480473, 2.413365, 2.34526, 2.273307, 
    2.21235, 2.190751, 2.196752, 2.208352, 2.224303, 2.236555, 2.235756, 
    2.223057, 2.198255, 2.152802, 2.08525, 2.004749, 1.927899, 1.8662, 
    1.818751, 1.776551, 1.739053, 1.710903, 1.692753, 1.680902, 1.675102, 
    1.671902, 1.669751, 1.668301, 1.667001, 1.665851, 1.653501, 1.613501, 
    1.557153, 1.503955, 1.470507, 1.456659, 1.469609, 1.515859, 1.579256, 
    1.665753, 1.786596, 1.91064, 2.013484, 2.098131, 2.16403, 2.199929, 
    2.210979, 2.201729, 1.964181, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1027534, 1.054111, 1.175433, 1.323732, 
    2.830427, 3.17918, 3.353971, 3.471365, 3.48377, 3.429877, 3.381731, 
    3.348286, 3.330991, 3.302545, 3.260748, 3.211251, 3.166203, 3.157653, 
    3.183502, 3.212152, 3.240001, 3.259952, 3.271252, 3.276253, 3.277353, 
    2.785447, 0.8198251, 0, 0, 0, 1.617752, 3.235503, 3.236404, 3.235304, 
    3.225753, 3.203603, 3.164652, 3.112451, 3.052248, 2.975246, 2.877192, 
    2.813988, 2.702236, 2.522231, 2.10258, 0, 0.4589619, 0.2753771, 0, 0, 0, 
    0, 0, 0.3434979, 1.144493, 1.142594, 1.138345, 1.132147, 1.127247, 
    1.123398, 1.11665, 1.112902, 1.121254, 0.3382514, 0.4796827, 0.1856628, 
    0.9634531, 1.334284, 1.379442, 1.43655, 1.484807, 1.532713, 1.581621, 
    1.630328, 1.675585, 1.72189, 1.771795, 1.817048, 1.852601, 1.882553, 
    1.909305, 1.930506, 1.944858, 1.954658, 1.959809, 1.96076, 1.96111, 
    1.96146, 1.96161, 1.96161, 1.96161, 1.96161, 1.96161, 1.96161, 1.96161, 
    1.96161, 1.96161, 1.96161, 1.95986, 1.953559, 1.941309, 1.923658, 
    1.902357, 1.876505, 1.842354, 1.803202, 1.76235, 1.721848, 1.682696, 
    1.645394,
  1.413089, 1.377388, 1.303184, 1.222327, 1.14757, 1.073863, 0.9932566, 
    0.9165002, 0.8575447, 0.8206409, 0.8218911, 0.8617467, 0.9218073, 
    0.9920185, 1.063329, 1.121738, 1.158594, 1.181099, 1.192052, 1.193652, 
    1.192351, 1.190001, 1.189502, 1.201603, 1.220605, 1.243107, 1.27031, 
    1.293014, 1.303616, 1.299516, 1.279912, 1.254208, 1.227105, 1.205954, 
    1.195303, 1.197302, 1.211602, 1.235702, 1.272053, 1.316955, 1.366606, 
    1.422557, 1.488508, 1.55426, 1.612111, 1.668911, 1.734561, 1.807259, 
    1.884107, 1.972855, 2.086103, 2.248516, 2.428129, 2.608085, 2.778486, 
    2.912031, 3.000623, 3.059114, 3.091502, 3.095737, 3.06556, 3.032237, 
    2.998921, 2.980615, 2.985265, 3.010216, 3.062521, 3.122728, 3.169035, 
    3.183839, 3.00231, 1.574561, 0.7800978, 0, 0, 0, 0, 0, 2.374511, 2.58946, 
    2.544007, 2.499604, 2.454454, 2.395803, 2.331254, 2.265651, 2.2122, 
    2.189002, 2.192503, 2.202304, 2.215806, 2.225307, 2.222508, 2.210606, 
    2.189704, 2.148203, 2.084002, 2.005101, 1.927801, 1.864252, 1.815003, 
    1.771704, 1.733154, 1.704903, 1.687253, 1.676252, 1.671152, 1.669052, 
    1.667501, 1.666301, 1.665451, 1.664501, 1.652501, 1.611451, 1.551753, 
    1.495853, 1.459754, 1.442906, 1.454257, 1.501606, 1.569004, 1.661951, 
    1.793197, 1.928891, 2.039239, 2.128238, 2.195388, 2.231038, 2.243738, 
    2.234388, 1.990641, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.6700702, 0, 0, 0, 1.353471, 2.105042, 3.411469, 
    3.537865, 3.543767, 3.475326, 3.417981, 3.374637, 3.347592, 3.311546, 
    3.263999, 3.210849, 3.1635, 3.15565, 3.18175, 3.21065, 3.238, 3.257001, 
    3.266752, 3.270553, 3.271803, 2.289702, 0, 0, 0, 0, 1.614002, 3.228354, 
    3.229354, 3.227954, 3.219004, 3.197803, 3.160352, 3.112299, 3.057746, 
    2.987092, 2.895638, 2.837587, 2.732732, 2.565224, 2.149171, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.3476977, 1.158492, 1.155193, 1.147895, 1.139046, 1.132248, 
    1.126848, 1.11615, 1.107853, 0.8348079, 0.1686333, 0.5144397, 0.771165, 
    1.230281, 1.265438, 1.296744, 1.338702, 1.375058, 1.409316, 1.443673, 
    1.47883, 1.512586, 1.549141, 1.590395, 1.628549, 1.658602, 1.684454, 
    1.707856, 1.726557, 1.739357, 1.747958, 1.752308, 1.752608, 1.752608, 
    1.752608, 1.752608, 1.752608, 1.752608, 1.752608, 1.752608, 1.752608, 
    1.752608, 1.752608, 1.752608, 1.752608, 1.751108, 1.745758, 1.734407, 
    1.718606, 1.699355, 1.676254, 1.645402, 1.61025, 1.573348, 1.536446, 
    1.501243, 1.467841,
  1.258585, 1.226382, 1.161525, 1.094617, 1.03256, 0.970503, 0.9017462, 
    0.8365395, 0.7872842, 0.7576297, 0.7590793, 0.787187, 0.8292965, 
    0.879458, 0.9320183, 0.9753768, 1.001582, 1.015537, 1.02129, 1.022091, 
    1.02234, 1.021189, 1.021337, 1.031838, 1.047839, 1.066641, 1.087845, 
    1.104798, 1.11135, 1.107051, 1.092948, 1.074344, 1.053839, 1.037186, 
    1.029184, 1.032284, 1.046584, 1.069984, 1.103487, 1.144389, 1.189843, 
    1.240897, 1.302601, 1.365652, 1.421354, 1.477054, 1.542206, 1.616356, 
    1.696105, 1.788453, 1.905201, 2.049608, 2.211115, 2.38137, 2.551069, 
    2.693515, 2.795607, 2.871098, 2.922537, 2.951625, 2.962556, 2.964739, 
    2.957576, 2.951868, 2.957767, 2.97872, 3.022225, 3.069432, 3.104288, 
    2.037899, 1.406092, 0, 0, 0, 0, 0, 0, 0, 2.357208, 2.577653, 2.536252, 
    2.492753, 2.444458, 2.383711, 2.321757, 2.259456, 2.206256, 2.182506, 
    2.185006, 2.192757, 2.203359, 2.21066, 2.208009, 2.198008, 2.179657, 
    2.140156, 2.077756, 1.999605, 1.922205, 1.857455, 1.807256, 1.764055, 
    1.726204, 1.699053, 1.682003, 1.672302, 1.668151, 1.666701, 1.665501, 
    1.664651, 1.664451, 1.664, 1.65175, 1.609401, 1.548851, 1.4932, 1.45575, 
    1.436501, 1.445853, 1.492754, 1.561005, 1.656904, 1.794652, 1.936151, 
    2.048751, 2.138252, 2.204453, 2.240152, 2.255, 2.246749, 1.999099, 0, 0, 
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    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.3253691, 
    0.6982827, 0.7434502, 0, 0, 0, 0, 0.5048896, 1.722011, 1.786987, 
    3.400303, 3.499748, 3.43525, 3.385452, 3.351205, 3.309806, 3.260006, 
    3.207754, 3.1634, 3.157149, 3.182999, 3.21095, 3.236951, 3.253902, 
    3.261254, 3.264054, 3.265354, 2.285502, 0, 0, 0, 0, 1.610502, 3.221704, 
    3.222804, 3.220953, 3.212254, 3.192353, 3.157501, 3.113999, 3.065495, 
    3.001941, 2.917687, 2.862036, 2.764732, 2.612123, 2.199822, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.352347, 1.17374, 1.168791, 1.158893, 1.147294, 1.137996, 
    1.131147, 1.117149, 1.104051, 0.5497521, 0, 1.015617, 1.149875, 1.173783, 
    1.19594, 1.215997, 1.245004, 1.27031, 1.292116, 1.313274, 1.33678, 
    1.361085, 1.389589, 1.422993, 1.454846, 1.480349, 1.5027, 1.523402, 
    1.540253, 1.551604, 1.559105, 1.562855, 1.563105, 1.563105, 1.563455, 
    1.563605, 1.563605, 1.563605, 1.563605, 1.563605, 1.563605, 1.563605, 
    1.563605, 1.563605, 1.563605, 1.562105, 1.557105, 1.547354, 1.533203, 
    1.516101, 1.4955, 1.468348, 1.436796, 1.404093, 1.371041, 1.339738, 
    1.309937,
  1.125076, 1.098122, 1.046064, 0.9932551, 0.9435475, 0.8927905, 0.8356832, 
    0.781127, 0.7400225, 0.7167693, 0.7168714, 0.7332279, 0.7597873, 
    0.7919474, 0.8276575, 0.8573155, 0.874321, 0.8822238, 0.8839751, 
    0.8840255, 0.8863242, 0.8882715, 0.8920184, 0.9026676, 0.9175676, 
    0.9331693, 0.949322, 0.9610752, 0.9638273, 0.9592271, 0.949025, 
    0.9367715, 0.9235676, 0.9131637, 0.9085113, 0.9121109, 0.925562, 
    0.9467139, 0.9754176, 1.009923, 1.047578, 1.091183, 1.145788, 1.204392, 
    1.257843, 1.311995, 1.374297, 1.446699, 1.526101, 1.619501, 1.738551, 
    1.876301, 2.026358, 2.189712, 2.358713, 2.509557, 2.622852, 2.713043, 
    2.782382, 2.829972, 2.86706, 2.895745, 2.910032, 2.917025, 2.926771, 
    1.919655, 1.502377, 1.522853, 1.537672, 0.463329, 0, 0, 0, 0, 0.1387762, 
    1.38117, 1.357549, 1.339522, 2.497016, 2.589232, 2.546735, 2.495493, 
    2.436601, 2.368857, 2.307261, 2.243912, 2.191312, 2.16886, 2.169763, 
    2.175215, 2.183366, 2.188667, 2.186517, 2.177367, 2.159667, 2.120817, 
    2.060016, 1.985212, 1.908661, 1.843312, 1.793511, 1.75176, 1.715209, 
    1.689359, 1.673507, 1.665007, 1.662056, 1.660856, 1.660006, 1.659506, 
    1.660005, 1.660504, 1.648004, 1.606103, 1.547851, 1.494349, 1.457248, 
    1.436948, 1.443799, 1.487503, 1.552755, 1.647407, 1.78506, 1.925362, 
    2.036265, 2.122668, 2.185371, 2.22227, 2.239519, 2.232619, 2.093033, 
    0.7512089, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.1760295, 0.934895, 1.377875, 0.1418526, 0, 0, 0, 0, 0, 0, 0, 1.78915, 
    3.483223, 3.415524, 3.365324, 3.328923, 3.286972, 3.239269, 3.193663, 
    3.159504, 3.15815, 3.183501, 3.209901, 3.234353, 3.248804, 3.254255, 
    3.256904, 3.096257, 1.143129, 0, 0, 0, 0, 0.8055065, 1.611364, 3.056355, 
    3.214804, 3.206004, 3.187053, 3.155501, 3.116348, 3.073495, 3.016291, 
    2.940286, 2.458221, 1.391989, 1.319148, 1.113341, 0, 0, 0, 0, 0, 0, 0, 
    0.05977512, 0.7752734, 1.188492, 1.182242, 1.170343, 1.156195, 1.144746, 
    1.136447, 1.119648, 1.102251, 0.5467516, 0, 0.9877169, 1.107726, 
    1.118534, 1.128641, 1.138747, 1.155804, 1.17081, 1.182316, 1.192822, 
    1.206677, 1.223332, 1.245235, 1.272538, 1.299291, 1.321094, 1.340446, 
    1.358447, 1.373299, 1.383099, 1.38975, 1.3929, 1.3931, 1.3931, 1.3938, 
    1.3941, 1.3941, 1.3941, 1.3941, 1.3941, 1.3941, 1.3941, 1.3941, 1.39415, 
    1.3946, 1.393099, 1.388449, 1.380298, 1.367647, 1.352846, 1.334894, 
    1.310892, 1.28334, 1.254837, 1.225985, 1.198632, 1.17183,
  1.014566, 0.9939119, 0.9551033, 0.916244, 0.878536, 0.8390785, 0.7930714, 
    0.7479155, 0.713761, 0.6939598, 0.6900629, 0.6965691, 0.7095273, 
    0.726337, 0.7469465, 0.7657024, 0.7758057, 0.7799577, 0.7800086, 
    0.7801081, 0.7848064, 0.7909037, 0.7993008, 0.8116493, 0.82605, 
    0.8390516, 0.851254, 0.8588062, 0.8590574, 0.8544076, 0.8471059, 
    0.8397533, 0.8322997, 0.8269471, 0.8258449, 0.8302943, 0.841546, 
    0.8583997, 0.8803048, 0.906161, 0.9345674, 0.9692737, 1.014881, 1.066036, 
    1.114841, 1.165045, 1.222299, 1.289953, 1.366106, 1.457308, 1.57581, 
    1.714108, 1.858858, 2.01796, 2.188257, 2.348101, 2.472093, 2.576133, 
    2.66427, 2.729707, 2.782798, 2.831688, 2.866024, 2.453443, 1.456941, 
    0.4381337, 0, 0, 0, 0, 0, 0, 0, 0, 1.407741, 2.77309, 2.73298, 2.701624, 
    2.664523, 2.620078, 2.56599, 2.497205, 2.42057, 2.345524, 2.279276, 
    2.214776, 2.161977, 2.139778, 2.138278, 2.14133, 2.147831, 2.151381, 
    2.148532, 2.139033, 2.120384, 2.082782, 2.02478, 1.955227, 1.882073, 
    1.818271, 1.770269, 1.730667, 1.696215, 1.672164, 1.657763, 1.650362, 
    1.648062, 1.647511, 1.647011, 1.646511, 1.647511, 1.648511, 1.636011, 
    1.59656, 1.541857, 1.491156, 1.454756, 1.433756, 1.438108, 1.476811, 
    1.537515, 1.629017, 1.761121, 1.895826, 2.00228, 2.082834, 2.139489, 
    2.172794, 2.190295, 2.183645, 2.151148, 1.477735, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.1314611, 0, 0, 0, 0, 0, 0, 0, 0.1743823, 1.734511, 2.525163, 3.315491, 
    3.284485, 3.247879, 3.206274, 3.172365, 3.152754, 3.160646, 3.185746, 
    3.210148, 3.231302, 3.242204, 3.246256, 3.249605, 2.927054, 0, 0, 0, 0, 
    0, 0, 0, 1.608315, 3.208954, 3.200753, 3.182752, 3.154001, 3.118549, 
    3.080745, 3.029292, 2.960538, 2.048191, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.601057, 1.200844, 1.199744, 1.193044, 1.179745, 1.163246, 1.150497, 
    1.140898, 1.121549, 1.100202, 0.5445013, 0, 0.9634144, 1.069723, 
    1.068031, 1.067038, 1.068394, 1.073901, 1.079308, 1.081563, 1.083319, 
    1.089174, 1.100077, 1.11693, 1.139983, 1.162385, 1.180837, 1.197189, 
    1.212891, 1.225342, 1.233843, 1.239544, 1.242394, 1.242744, 1.243093, 
    1.243444, 1.243594, 1.243744, 1.244093, 1.244093, 1.244093, 1.244093, 
    1.244093, 1.244443, 1.244643, 1.245093, 1.243843, 1.239793, 1.232842, 
    1.22209, 1.209339, 1.193788, 1.173385, 1.149733, 1.12533, 1.100927, 
    1.077125, 1.053722,
  0.9260553, 0.9120504, 0.8855919, 0.8590842, 0.8327766, 0.8040194, 
    0.7684122, 0.7315567, 0.702754, 0.6841035, 0.6749578, 0.6733127, 
    0.6757688, 0.6803259, 0.6886833, 0.6988391, 0.7050411, 0.7077411, 
    0.7075904, 0.709039, 0.7152886, 0.7243373, 0.7362354, 0.7504843, 
    0.7637851, 0.7746364, 0.7837383, 0.7883401, 0.7870411, 0.7832896, 
    0.7791868, 0.7762834, 0.7732808, 0.7709792, 0.7721285, 0.7761797, 
    0.7840326, 0.795037, 0.8086933, 0.8247507, 0.8435575, 0.8686643, 
    0.9040215, 0.9465778, 0.9878333, 1.031538, 1.081843, 1.142949, 1.213603, 
    1.300008, 1.414562, 1.552414, 1.697613, 1.85786, 2.034504, 2.205096, 
    2.341586, 2.460925, 2.56946, 2.657642, 2.723782, 2.783977, 1.564721, 
    1.005574, 0, 0, 0, 0.4262948, 1.415241, 1.397266, 0.1392024, 0, 0, 0, 
    1.413001, 2.798774, 2.772714, 2.747362, 2.710464, 2.65762, 2.585732, 
    2.494249, 2.394915, 2.307129, 2.233538, 2.168339, 1.178668, 1.061052, 
    1.060001, 1.784176, 2.098837, 2.101088, 2.097039, 2.08599, 2.065093, 
    2.028044, 1.973541, 1.908538, 1.840534, 1.78133, 1.737027, 1.700425, 
    1.669172, 1.64762, 1.634769, 1.628568, 1.626618, 1.626518, 1.626267, 
    1.626017, 1.626967, 1.627518, 1.615767, 1.578815, 1.527263, 1.478312, 
    1.441762, 1.419214, 1.419967, 1.452972, 1.508775, 1.59503, 1.720135, 
    1.84784, 1.948545, 2.023348, 2.073752, 2.100156, 2.117306, 2.109956, 
    2.074958, 1.421742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.05252543, 0.6921405, 1.093308, 0.7629834, 0.06163726, 0, 0, 0, 0, 0, 0, 
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    3.150499, 3.168493, 3.192245, 3.213547, 3.229901, 3.236953, 3.238505, 
    3.241806, 2.921104, 0, 0, 0, 0, 0, 0, 0, 0.1605773, 2.084492, 3.196253, 
    3.179452, 3.1535, 3.121447, 3.088244, 3.042789, 2.980784, 2.064637, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.4235986, 1.088044, 0.6033542, 0.9061735, 1.202343, 
    1.187694, 1.169295, 1.155247, 1.144348, 1.122, 1.097252, 0.8088733, 
    0.1598231, 0.9432633, 1.037371, 1.024279, 1.013285, 1.006191, 1.001798, 
    0.9978042, 0.9917099, 0.9863638, 0.9861173, 0.9925702, 1.006022, 
    1.025524, 1.044626, 1.060079, 1.073431, 1.086433, 1.097034, 1.104085, 
    1.108686, 1.111386, 1.111736, 1.112336, 1.112586, 1.112586, 1.112886, 
    1.113586, 1.113586, 1.113636, 1.114085, 1.114085, 1.114436, 1.114586, 
    1.114586, 1.113835, 1.110635, 1.104884, 1.096182, 1.085581, 1.072529, 
    1.055827, 1.035774, 1.015821, 0.995518, 0.9755647, 0.955912,
  0.8570451, 0.8493409, 0.8335837, 0.8174762, 0.8007699, 0.7812636, 
    0.7552568, 0.7260512, 0.7014977, 0.6821991, 0.6679025, 0.6598069, 
    0.6550113, 0.6516156, 0.6513209, 0.6550743, 0.6592752, 0.6624245, 
    0.6641725, 0.66817, 0.6752691, 0.6851693, 0.6981696, 0.7126705, 
    0.7245218, 0.7332236, 0.7392762, 0.7412282, 0.7390286, 0.7375268, 
    0.7381227, 0.7398193, 0.7407662, 0.7406645, 0.7425143, 0.7454147, 
    0.7495173, 0.7539725, 0.75813, 0.7638378, 0.7730451, 0.7885523, 
    0.8140594, 0.8474664, 0.8805729, 0.9164793, 0.959285, 1.012491, 1.076097, 
    1.155453, 1.263209, 1.396813, 1.541365, 1.705163, 1.889607, 2.070601, 
    2.219342, 2.354081, 2.483915, 2.595948, 2.004548, 1.384477, 0.1392589, 0, 
    0, 0, 0.1391906, 1.814954, 2.78807, 2.748525, 1.472204, 1.338636, 
    0.6764821, 0, 1.416044, 2.83078, 2.816722, 2.791823, 2.751127, 2.689134, 
    2.601245, 2.488161, 2.365078, 2.256395, 2.171054, 2.104255, 0.2089555, 0, 
    0.4994984, 1.725283, 2.040349, 2.041949, 2.036799, 2.0243, 2.000652, 
    1.962303, 1.9113, 1.850847, 1.788093, 1.734388, 1.694535, 1.661682, 
    1.634079, 1.615227, 1.604276, 1.599275, 1.597625, 1.597525, 1.597525, 
    1.597525, 1.598425, 1.598225, 1.587275, 1.552873, 1.503173, 1.454673, 
    1.417024, 1.391976, 1.38783, 1.413836, 1.46429, 1.543795, 1.66165, 
    1.783005, 1.878807, 1.949061, 1.993765, 2.01432, 2.028574, 2.020425, 
    1.983327, 1.355605, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.5258171, 1.052499, 1.052499, 0.3157498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1.597427, 3.158135, 3.150512, 3.145002, 3.155394, 3.178543, 
    3.200493, 3.218596, 3.230898, 3.234201, 3.233003, 3.234954, 2.916003, 0, 
    0, 0, 0, 0, 0, 0, 0, 0.4805709, 2.394453, 3.176502, 3.153999, 3.126296, 
    3.09924, 3.061333, 3.008425, 2.087031, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.8525937, 1.098191, 0, 0.303956, 1.029367, 1.196692, 1.176194, 1.160246, 
    1.148147, 1.1221, 1.094152, 1.071755, 0.6816559, 0.9773846, 1.010119, 
    0.9875247, 0.9684299, 0.9540347, 0.9406914, 0.9282969, 0.9155509, 
    0.9049048, 0.900058, 0.9028105, 0.9136124, 0.9300647, 0.9462168, 
    0.9585691, 0.9691709, 0.9794728, 0.9882246, 0.9938255, 0.9976759, 
    0.9999266, 1.000077, 1.000577, 1.001077, 1.001127, 1.001726, 1.002326, 
    1.002576, 1.002626, 1.003226, 1.003576, 1.003576, 1.003576, 1.003576, 
    1.003076, 1.000825, 0.995975, 0.9891233, 0.9805721, 0.9702703, 0.9564682, 
    0.9406649, 0.9245623, 0.9084588, 0.8929556, 0.8772524,
  0.8060334, 0.8028806, 0.796024, 0.7884184, 0.7792631, 0.7673078, 0.7492523, 
    0.7270972, 0.7057456, 0.6857952, 0.6673983, 0.6544512, 0.6445048, 
    0.6363078, 0.6309103, 0.6312622, 0.6345127, 0.6388116, 0.6441081, 
    0.6512556, 0.660004, 0.669804, 0.6820549, 0.6947069, 0.7042592, 0.709962, 
    0.7123151, 0.7112677, 0.7087679, 0.7097658, 0.7146133, 0.7208596, 
    0.7255071, 0.7280547, 0.7309033, 0.7328045, 0.7335072, 0.7317615, 
    0.7266182, 0.7224258, 0.7220333, 0.7282904, 0.7440984, 0.7685052, 
    0.7938107, 0.8212174, 0.8561738, 0.9010303, 0.9565873, 1.027544, 
    1.125953, 1.25251, 1.392366, 1.556367, 1.745266, 1.933861, 2.092105, 
    2.239846, 2.390929, 2.145266, 0.6540371, 0, 0, 0, 0, 0, 0.2747564, 
    2.738115, 2.699067, 2.657216, 2.634755, 2.654642, 1.343768, 0, 1.4218, 
    2.856581, 2.849727, 2.821182, 2.773389, 2.700349, 2.597012, 2.463578, 
    2.20772, 1.114968, 1.569649, 2.020175, 1.068377, 0.9582757, 1.461017, 
    1.966209, 1.970909, 1.972309, 1.96656, 1.95311, 1.927661, 1.888112, 
    1.839312, 1.783508, 1.726153, 1.678099, 1.643044, 1.614641, 1.591437, 
    1.575185, 1.566033, 1.562132, 1.560633, 1.560533, 1.560532, 1.560533, 
    1.561383, 1.560284, 1.549284, 1.516233, 1.467533, 1.418384, 1.379285, 
    1.351037, 1.341242, 1.360047, 1.404552, 1.477408, 1.588663, 1.704467, 
    1.795821, 1.861625, 1.901827, 1.916781, 1.925086, 1.916236, 1.789178, 
    0.6604472, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    1.058491, 0.7929137, 0.1582008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3101046, 3.110937, 3.138257, 3.148442, 3.164592, 3.188542, 3.210741, 
    3.226992, 3.235345, 3.234299, 3.230002, 3.229903, 2.911453, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0.7975146, 1.590121, 2.997699, 3.133094, 3.114237, 
    3.086278, 1.669206, 1.051668, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.4290803, 
    1.109242, 0.4336602, 0, 0.8546944, 1.206193, 1.183594, 1.165496, 
    1.151598, 1.12215, 1.090903, 1.065255, 1.039258, 1.013961, 0.988265, 
    0.9592686, 0.933424, 0.9125292, 0.8923829, 0.8737869, 0.8562403, 
    0.8409936, 0.8326457, 0.8325477, 0.8408495, 0.8545517, 0.8678039, 
    0.8768068, 0.8847591, 0.8924612, 0.8987632, 0.9030643, 0.9059654, 
    0.9075158, 0.9080651, 0.9083155, 0.9089153, 0.9091651, 0.9100651, 
    0.9105651, 0.9110651, 0.9111151, 0.9117146, 0.9120651, 0.9120651, 
    0.9120651, 0.9120651, 0.9115651, 0.9096651, 0.9055144, 0.9000638, 
    0.893562, 0.88566, 0.8750073, 0.8630546, 0.8508012, 0.838549, 0.8270459, 
    0.8164411,
  0.7700251, 0.7700228, 0.7699184, 0.7682643, 0.7647604, 0.7584566, 
    0.7462526, 0.729499, 0.7107462, 0.6909464, 0.6703968, 0.6545486, 0.6415, 
    0.6309009, 0.6234516, 0.6226017, 0.6257513, 0.6313503, 0.639599, 
    0.6495469, 0.6592471, 0.6689472, 0.6794493, 0.6889524, 0.695505, 
    0.6978576, 0.69681, 0.6931117, 0.6910109, 0.6945089, 0.7031552, 
    0.7137517, 0.7217487, 0.7272964, 0.731745, 0.7328452, 0.7307471, 
    0.7234018, 0.7100585, 0.6969655, 0.6882713, 0.6858784, 0.6926352, 
    0.7088417, 0.7275469, 0.7476521, 0.7742094, 0.8109162, 0.8575736, 
    0.9189323, 1.006891, 1.122152, 1.253111, 1.412767, 1.60107, 1.793418, 
    1.957116, 2.115557, 2.285344, 2.052501, 0.6102262, 0, 0, 0, 0, 0, 
    1.328974, 2.662258, 2.624803, 2.589095, 2.581481, 2.614822, 2.003624, 
    0.4059689, 0.1435901, 1.868828, 2.868492, 2.8328, 2.77421, 2.686974, 
    2.567038, 1.596226, 1.13916, 1.014498, 1.463726, 1.918142, 1.883735, 
    1.873078, 1.879573, 1.886422, 1.890523, 1.891673, 1.885822, 1.871923, 
    1.844774, 1.804624, 1.757322, 1.706169, 1.654714, 1.613107, 1.583553, 
    1.559949, 1.540896, 1.527643, 1.520042, 1.516991, 1.51609, 1.51604, 
    1.51604, 1.51604, 1.516291, 1.513193, 1.501045, 1.468245, 1.419945, 
    1.370245, 1.330046, 1.298599, 1.283103, 1.29441, 1.333065, 1.39902, 
    1.503626, 1.613282, 1.699586, 1.76069, 1.797394, 1.808046, 1.808854, 
    1.797757, 1.588197, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0, 0.9620925, 0.9081615, 0.2664455, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0.1538573, 2.015249, 3.140489, 3.160837, 3.177537, 3.200888, 3.22249, 
    3.236742, 3.240896, 2.752061, 1.617204, 1.616553, 1.457036, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1.579665, 3.141692, 3.132982, 3.119368, 0.3115464, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5581834, 0.4350775, 0, 0.4298187, 
    1.152548, 1.189496, 1.169248, 1.153549, 1.1221, 1.088451, 1.060503, 
    1.031505, 1.002857, 0.97286, 0.9402621, 0.9090655, 0.8821201, 0.8571742, 
    0.8345268, 0.8136289, 0.7954803, 0.7846821, 0.7827831, 0.7889346, 
    0.799987, 0.8098901, 0.8152931, 0.8203455, 0.8250484, 0.82915, 0.8318015, 
    0.8337519, 0.8350019, 0.8355528, 0.8355528, 0.8362527, 0.8366528, 
    0.8375527, 0.8380527, 0.8385528, 0.8390521, 0.8395528, 0.8395528, 
    0.8395528, 0.8395528, 0.839403, 0.8385536, 0.837003, 0.833952, 0.829351, 
    0.8245502, 0.8190482, 0.811496, 0.802943, 0.7945402, 0.7857867, 
    0.7781335, 0.77263,
  0.7470141, 0.7491128, 0.7524614, 0.7545092, 0.7542575, 0.7515552, 
    0.7432026, 0.7296009, 0.7127504, 0.6934494, 0.6723, 0.6549008, 0.6410009, 
    0.6299009, 0.6224501, 0.6216, 0.6252496, 0.6323979, 0.6426456, 0.6543947, 
    0.6637452, 0.6720474, 0.6798501, 0.6855534, 0.6890061, 0.6886083, 
    0.6843613, 0.6786132, 0.6777619, 0.6842587, 0.6971053, 0.7116519, 
    0.7232487, 0.7320455, 0.7386929, 0.7405415, 0.7367425, 0.7248954, 
    0.7045508, 0.684306, 0.6690115, 0.6596663, 0.6595713, 0.6686769, 
    0.6815317, 0.6957866, 0.7151416, 0.7437986, 0.781806, 0.8338134, 
    0.9114727, 1.012785, 1.133593, 1.285901, 1.470804, 1.664303, 1.832598, 
    1.995648, 2.171053, 1.972571, 0.6123276, 0, 0, 0, 0, 0, 2.371833, 
    2.61038, 2.580273, 2.555063, 2.558557, 2.598006, 2.674255, 1.784535, 
    1.418645, 1.874468, 2.877742, 2.829955, 1.526792, 1.338856, 1.274493, 
    1.157569, 1.143295, 1.967215, 1.861115, 1.80121, 1.776151, 1.773743, 
    1.786088, 1.794936, 1.798236, 1.800334, 1.795084, 1.780734, 1.752385, 
    1.712434, 1.667582, 1.621327, 1.576271, 1.541466, 1.517062, 1.497908, 
    1.482405, 1.472252, 1.466301, 1.46385, 1.46355, 1.46355, 1.46355, 
    1.46355, 1.462751, 1.457153, 1.442306, 1.409606, 1.361506, 1.312105, 
    1.270806, 1.236858, 1.215963, 1.219619, 1.251825, 1.310981, 1.407639, 
    1.509646, 1.590102, 1.646407, 1.679509, 1.686762, 1.679368, 1.661477, 
    1.539135, 0.5226769, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.3752373, 1.020205, 0.7518, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.4706282, 2.370621, 3.177384, 3.192388, 3.213441, 3.233242, 3.244644, 
    3.245347, 2.267649, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1576274, 
    1.575973, 1.574521, 1.572016, 0.1571265, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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    0.797961, 0.8720269, 0.998251, 0.9651032, 0.9300053, 0.8959568, 
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    0.08962499, 0.09006248, 0.09084997, 0.09143747, 0.09237497, 0.09287497, 
    0.09347495, 0.09406246, 0.09468746, 0.09531245, 0.09639995, 0.09679995, 
    0.09749995, 0.09793745, 0.09902494, 0.09942494, 0.1004374, 0.1014499, 
    0.1023499, 0.1029374, 0.1038749, 0.1048124, 0.1059624, 0.1069249, 
    0.1081249, 0.1090624, 0.1102124, 0.1111749, 0.1121874, 0.1131999, 
    0.1141623, 0.1151248, 0.1154373, 0.1164498, 0.1168123, 0.1174873, 
    0.1177498, 0.1181873, 0.1183748, 0.1183748, 0.1183748, 0.1183748, 
    0.1183748, 0.1183748, 0.1183748, 0.1176748, 0.1173123, 0.1167498, 
    0.1162498, 0.1157498, 0.1147873, 0.1141248, 0.1136248, 0.1126873, 
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    0.1075624, 0.1072499, 0.1062874, 0.1055124, 0.1049374, 0.1046249, 
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    0.09226243, 0.09341242, 0.09474991, 0.09612489, 0.09706239, 0.09821238, 
    0.09917487, 0.1001874, 0.1011999, 0.1015999, 0.1026874, 0.1033124, 
    0.1039374, 0.1045249, 0.1052373, 0.1058123, 0.1061248, 0.1070248, 
    0.1072373, 0.1078124, 0.1081248, 0.1084624, 0.1086873, 0.1091248, 
    0.1093874, 0.1094999, 0.1094998,
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    0.108, 0.1074, 0.105, 0.1026, 0.1001, 0.0984, 0.096, 0.0936, 0.091, 
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    0.091, 0.0911, 0.092, 0.0925, 0.093, 0.0939, 0.09429999, 0.095, 0.095, 
    0.0959, 0.0963, 0.097, 0.0977, 0.09809999, 0.09899999, 0.0995, 0.1, 
    0.1009, 0.1013, 0.1025, 0.103, 0.1039, 0.1043, 0.105, 0.1057, 0.1061, 
    0.107, 0.107, 0.1077, 0.108, 0.1083, 0.109, 0.109, 0.109, 0.109, 0.109, 
    0.109, 0.109, 0.109, 0.109, 0.1083, 0.108, 0.108, 0.1075, 0.107, 0.1061, 
    0.106, 0.1055, 0.105, 0.1049, 0.104, 0.1035, 0.103, 0.1021, 0.1017, 
    0.101, 0.101, 0.1001, 0.0997, 0.099, 0.099, 0.09890001, 0.098, 0.098, 
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    0.0947, 0.094, 0.094, 0.0939, 0.093, 0.093, 0.093, 0.093, 0.093, 0.0925, 
    0.092, 0.092, 0.0917, 0.091, 0.091, 0.0909, 0.09, 0.09, 0.09, 0.09, 
    0.0897, 0.089, 0.089, 0.089, 0.0887, 0.088, 0.088, 0.088, 0.088, 0.088, 
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    0.085, 0.085, 0.085, 0.085, 0.085, 0.0855, 0.086, 0.086, 0.086, 0.0865, 
    0.087, 0.087, 0.0873, 0.088, 0.0887, 0.0891, 0.09, 0.0905, 0.091, 0.0919, 
    0.09230001, 0.093, 0.0937, 0.09409999, 0.095, 0.0955, 0.096, 0.0969, 
    0.0973, 0.098, 0.098, 0.09890001, 0.0993, 0.1, 0.1, 0.1009, 0.101, 0.101, 
    0.1017, 0.102, 0.102 ;
}
