/*
 * Copyright 2003 Sandia Corporation.
 * Under the terms of Contract DE-AC04-94AL85000, there is a non-exclusive
 * license for use of this work by or on behalf of the
 * U.S. Government. Redistribution and use in source and binary forms, with
 * or without modification, are permitted provided that this Notice and any
 * statement of authorship are reproduced on all copies.
 */

#define PSI_GAMMA_SIZE_BACK	512
#define PSI_GAMMA_SIZE_FRONT	512

#define PSI_GAMMA_LOOKUP(gamma_back, gamma_front)			\
    PsiGammaTable[(int)((gamma_front)*PSI_GAMMA_SIZE_FRONT)]		\
		 [(int)((gamma_back)*PSI_GAMMA_SIZE_BACK)]

#define PSI_LOOKUP(taud_back, taud_front)				\
    PSI_GAMMA_LOOKUP((taud_back)/((taud_back+1)),(taud_front/((taud_front)+1)))

float PsiGammaTable[PSI_GAMMA_SIZE_FRONT][PSI_GAMMA_SIZE_BACK] =
{{1., 0.9996739, 0.9993467, 0.9990185, 
  0.9986892, 0.9983587, 0.9980272, 
  0.9976945, 0.9973607, 0.9970258, 
  0.9966898, 0.9963526, 0.9960143, 
  0.9956748, 0.9953342, 0.9949925, 
  0.9946495, 0.9943054, 0.9939601, 
  0.9936137, 0.9932660, 0.9929171, 
  0.9925671, 0.9922158, 0.9918633, 
  0.9915096, 0.9911547, 0.9907986, 
  0.9904412, 0.9900825, 0.9897226, 
  0.9893615, 0.9889991, 0.9886354, 
  0.9882704, 0.9879042, 0.9875366, 
  0.9871678, 0.9867976, 0.9864262, 
  0.9860534, 0.9856793, 0.9853039, 
  0.9849271, 0.9845490, 0.9841695, 
  0.9837886, 0.9834064, 0.9830228, 
  0.9826379, 0.9822515, 0.9818638, 
  0.9814746, 0.9810840, 0.9806920, 
  0.9802986, 0.9799037, 0.9795074, 
  0.9791096, 0.9787104, 0.9783097, 
  0.9779075, 0.9775039, 0.9770987, 
  0.9766921, 0.9762839, 0.9758742, 
  0.9754630, 0.9750503, 0.9746360, 
  0.9742202, 0.9738028, 0.9733838, 
  0.9729633, 0.9725411, 0.9721174, 
  0.9716921, 0.9712651, 0.9708366, 
  0.9704064, 0.9699745, 0.9695410, 
  0.9691059, 0.9686691, 0.9682306, 
  0.9677904, 0.9673485, 0.9669049, 
  0.9664596, 0.9660125, 0.9655637, 
  0.9651132, 0.9646609, 0.9642069, 
  0.9637510, 0.9632934, 0.9628340, 
  0.9623728, 0.9619097, 0.9614448, 
  0.9609781, 0.9605095, 0.9600391, 
  0.9595668, 0.9590926, 0.9586165, 
  0.9581385, 0.9576585, 0.9571767, 
  0.9566929, 0.9562071, 0.9557194, 
  0.9552297, 0.9547380, 0.9542443, 
  0.9537486, 0.9532509, 0.9527511, 
  0.9522493, 0.9517454, 0.9512394, 
  0.9507314, 0.9502212, 0.9497089, 
  0.9491945, 0.9486780, 0.9481593, 
  0.9476385, 0.9471154, 0.9465902, 
  0.9460627, 0.9455331, 0.9450012, 
  0.9444670, 0.9439306, 0.9433919, 
  0.9428509, 0.9423077, 0.9417620, 
  0.9412141, 0.9406638, 0.9401111, 
  0.9395561, 0.9389986, 0.9384388, 
  0.9378765, 0.9373118, 0.9367446, 
  0.9361749, 0.9356028, 0.9350281, 
  0.9344510, 0.9338712, 0.9332890, 
  0.9327041, 0.9321167, 0.9315266, 
  0.9309340, 0.9303387, 0.9297407, 
  0.9291401, 0.9285367, 0.9279307, 
  0.9273219, 0.9267104, 0.9260961, 
  0.9254790, 0.9248591, 0.9242364, 
  0.9236109, 0.9229825, 0.9223512, 
  0.9217170, 0.9210799, 0.9204399, 
  0.9197969, 0.9191509, 0.9185019, 
  0.9178499, 0.9171949, 0.9165368, 
  0.9158756, 0.9152113, 0.9145439, 
  0.9138733, 0.9131996, 0.9125227, 
  0.9118425, 0.9111592, 0.9104725, 
  0.9097826, 0.9090894, 0.9083928, 
  0.9076929, 0.9069896, 0.9062829, 
  0.9055728, 0.9048593, 0.9041422, 
  0.9034217, 0.9026976, 0.9019700, 
  0.9012389, 0.9005041, 0.8997657, 
  0.8990236, 0.8982778, 0.8975284, 
  0.8967752, 0.8960182, 0.8952575, 
  0.8944929, 0.8937245, 0.8929522, 
  0.8921761, 0.8913959, 0.8906119, 
  0.8898238, 0.8890317, 0.8882355, 
  0.8874353, 0.8866310, 0.8858225, 
  0.8850098, 0.8841930, 0.8833719, 
  0.8825465, 0.8817168, 0.8808828, 
  0.8800444, 0.8792016, 0.8783544, 
  0.8775026, 0.8766464, 0.8757857, 
  0.8749203, 0.8740504, 0.8731758, 
  0.8722965, 0.8714125, 0.8705238, 
  0.8696302, 0.8687318, 0.8678285, 
  0.8669204, 0.8660072, 0.8650891, 
  0.8641659, 0.8632377, 0.8623044, 
  0.8613659, 0.8604222, 0.8594733, 
  0.8585191, 0.8575595, 0.8565946, 
  0.8556243, 0.8546486, 0.8536673, 
  0.8526805, 0.8516881, 0.8506901, 
  0.8496864, 0.8486770, 0.8476618, 
  0.8466407, 0.8456138, 0.8445810, 
  0.8435421, 0.8424973, 0.8414464, 
  0.8403893, 0.8393261, 0.8382567, 
  0.8371810, 0.8360989, 0.8350104, 
  0.8339155, 0.8328141, 0.8317061, 
  0.8305916, 0.8294703, 0.8283423, 
  0.8272075, 0.8260659, 0.8249174, 
  0.8237619, 0.8225994, 0.8214298, 
  0.8202530, 0.8190690, 0.8178777, 
  0.8166791, 0.8154731, 0.8142596, 
  0.8130386, 0.8118099, 0.8105736, 
  0.8093295, 0.8080776, 0.8068178, 
  0.8055500, 0.8042742, 0.8029903, 
  0.8016983, 0.8003979, 0.7990893, 
  0.7977722, 0.7964466, 0.7951125, 
  0.7937697, 0.7924182, 0.7910579, 
  0.7896888, 0.7883106, 0.7869234, 
  0.7855271, 0.7841215, 0.7827066, 
  0.7812823, 0.7798486, 0.7784052, 
  0.7769522, 0.7754894, 0.7740168, 
  0.7725342, 0.7710416, 0.7695388, 
  0.7680258, 0.7665025, 0.7649687, 
  0.7634244, 0.7618694, 0.7603037, 
  0.7587272, 0.7571397, 0.7555411, 
  0.7539314, 0.7523104, 0.7506780, 
  0.7490340, 0.7473785, 0.7457113, 
  0.7440322, 0.7423411, 0.7406380, 
  0.7389226, 0.7371949, 0.7354548, 
  0.7337021, 0.7319367, 0.7301585, 
  0.7283673, 0.7265630, 0.7247455, 
  0.7229147, 0.7210703, 0.7192123, 
  0.7173406, 0.7154550, 0.7135553, 
  0.7116414, 0.7097132, 0.7077706, 
  0.7058132, 0.7038412, 0.7018541, 
  0.6998520, 0.6978347, 0.6958019, 
  0.6937536, 0.6916896, 0.6896097, 
  0.6875138, 0.6854016, 0.6832731, 
  0.6811281, 0.6789663, 0.6767876, 
  0.6745919, 0.6723789, 0.6701485, 
  0.6679005, 0.6656347, 0.6633509, 
  0.6610490, 0.6587287, 0.6563899, 
  0.6540323, 0.6516559, 0.6492603, 
  0.6468454, 0.6444109, 0.6419568, 
  0.6394827, 0.6369885, 0.6344739, 
  0.6319388, 0.6293829, 0.6268060, 
  0.6242079, 0.6215884, 0.6189473, 
  0.6162843, 0.6135992, 0.6108918, 
  0.6081619, 0.6054092, 0.6026335, 
  0.5998346, 0.5970122, 0.5941660, 
  0.5912960, 0.5884017, 0.5854830, 
  0.5825396, 0.5795713, 0.5765779, 
  0.5735589, 0.5705144, 0.5674438, 
  0.5643471, 0.5612240, 0.5580741, 
  0.5548973, 0.5516932, 0.5484617, 
  0.5452024, 0.5419150, 0.5385994, 
  0.5352552, 0.5318821, 0.5284799, 
  0.5250483, 0.5215870, 0.5180958, 
  0.5145743, 0.5110222, 0.5074393, 
  0.5038253, 0.5001798, 0.4965026, 
  0.4927934, 0.4890518, 0.4852775, 
  0.4814702, 0.4776296, 0.4737553, 
  0.4698470, 0.4659043, 0.4619269, 
  0.4579143, 0.4538662, 0.4497823, 
  0.4456619, 0.4415048, 0.4373105, 
  0.4330785, 0.4288082, 0.4244992, 
  0.4201508, 0.4157626, 0.4113337, 
  0.4068637, 0.4023517, 0.3977969, 
  0.3931986, 0.3885558, 0.3838676, 
  0.3791329, 0.3743505, 0.3695192, 
  0.3646377, 0.3597045, 0.3547180, 
  0.3496765, 0.3445780, 0.3394204, 
  0.3342015, 0.3289188, 0.3235695, 
  0.3181505, 0.3126586, 0.3070901, 
  0.3014409, 0.2957067, 0.2898823, 
  0.2839625, 0.2779411, 0.2718114, 
  0.2655658, 0.2591959, 0.2526923, 
  0.2460441, 0.2392393, 0.2322639, 
  0.2251018, 0.2177345, 0.2101402, 
  0.2022932, 0.1941625, 0.1857109, 
  0.1768919, 0.1676475, 0.1579027, 
  0.1475581, 0.1364772, 0.1244631, 
  0.1112136, 0.0962191, 0.0784855, 
  0.0554433}, {0.9993479, 0.9990221, 
  0.9986953, 0.9983673, 0.9980383, 
  0.9977081, 0.9973769, 0.9970445, 
  0.9967110, 0.9963764, 0.9960406, 
  0.9957038, 0.9953658, 0.9950266, 
  0.9946863, 0.9943448, 0.9940022, 
  0.9936584, 0.9933134, 0.9929672, 
  0.9926199, 0.9922713, 0.9919216, 
  0.9915706, 0.9912184, 0.9908651, 
  0.9905104, 0.9901546, 0.9897975, 
  0.9894392, 0.9890796, 0.9887188, 
  0.9883567, 0.9879933, 0.9876287, 
  0.9872628, 0.9868955, 0.9865270, 
  0.9861572, 0.9857861, 0.9854136, 
  0.9850398, 0.9846647, 0.9842883, 
  0.9839105, 0.9835313, 0.9831508, 
  0.9827690, 0.9823857, 0.9820011, 
  0.9816151, 0.9812276, 0.9808388, 
  0.9804486, 0.9800569, 0.9796638, 
  0.9792693, 0.9788734, 0.9784759, 
  0.9780771, 0.9776767, 0.9772749, 
  0.9768716, 0.9764668, 0.9760605, 
  0.9756527, 0.9752434, 0.9748325, 
  0.9744202, 0.9740062, 0.9735908, 
  0.9731737, 0.9727551, 0.9723350, 
  0.9719132, 0.9714899, 0.9710649, 
  0.9706383, 0.9702101, 0.9697803, 
  0.9693489, 0.9689157, 0.9684810, 
  0.9680445, 0.9676064, 0.9671666, 
  0.9667251, 0.9662819, 0.9658370, 
  0.9653903, 0.9649419, 0.9644918, 
  0.9640399, 0.9635863, 0.9631308, 
  0.9626736, 0.9622146, 0.9617538, 
  0.9612911, 0.9608266, 0.9603603, 
  0.9598922, 0.9594221, 0.9589502, 
  0.9584764, 0.9580008, 0.9575232, 
  0.9570437, 0.9565622, 0.9560788, 
  0.9555935, 0.9551062, 0.9546169, 
  0.9541257, 0.9536324, 0.9531371, 
  0.9526398, 0.9521405, 0.9516391, 
  0.9511357, 0.9506302, 0.9501226, 
  0.9496128, 0.9491010, 0.9485871, 
  0.9480710, 0.9475528, 0.9470324, 
  0.9465098, 0.9459850, 0.9454580, 
  0.9449288, 0.9443974, 0.9438637, 
  0.9433278, 0.9427895, 0.9422490, 
  0.9417062, 0.9411611, 0.9406136, 
  0.9400638, 0.9395116, 0.9389571, 
  0.9384001, 0.9378407, 0.9372789, 
  0.9367147, 0.9361480, 0.9355789, 
  0.9350072, 0.9344331, 0.9338564, 
  0.9332772, 0.9326954, 0.9321111, 
  0.9315242, 0.9309346, 0.9303425, 
  0.9297477, 0.9291502, 0.9285501, 
  0.9279473, 0.9273418, 0.9267336, 
  0.9261226, 0.9255088, 0.9248923, 
  0.9242729, 0.9236508, 0.9230258, 
  0.9223979, 0.9217672, 0.9211336, 
  0.9204970, 0.9198576, 0.9192151, 
  0.9185697, 0.9179213, 0.9172699, 
  0.9166154, 0.9159579, 0.9152973, 
  0.9146335, 0.9139667, 0.9132967, 
  0.9126236, 0.9119472, 0.9112677, 
  0.9105849, 0.9098989, 0.9092096, 
  0.9085169, 0.9078210, 0.9071217, 
  0.9064190, 0.9057129, 0.9050034, 
  0.9042905, 0.9035741, 0.9028542, 
  0.9021308, 0.9014038, 0.9006732, 
  0.8999391, 0.8992013, 0.8984599, 
  0.8977148, 0.8969660, 0.8962135, 
  0.8954572, 0.8946971, 0.8939332, 
  0.8931654, 0.8923938, 0.8916183, 
  0.8908389, 0.8900555, 0.8892681, 
  0.8884767, 0.8876812, 0.8868817, 
  0.8860780, 0.8852703, 0.8844583, 
  0.8836422, 0.8828218, 0.8819971, 
  0.8811681, 0.8803348, 0.8794972, 
  0.8786551, 0.8778086, 0.8769576, 
  0.8761022, 0.8752422, 0.8743776, 
  0.8735084, 0.8726346, 0.8717560, 
  0.8708728, 0.8699848, 0.8690920, 
  0.8681944, 0.8672919, 0.8663845, 
  0.8654722, 0.8645548, 0.8636325, 
  0.8627051, 0.8617725, 0.8608349, 
  0.8598920, 0.8589439, 0.8579905, 
  0.8570318, 0.8560677, 0.8550983, 
  0.8541234, 0.8531430, 0.8521570, 
  0.8511655, 0.8501683, 0.8491655, 
  0.8481569, 0.8471426, 0.8461224, 
  0.8450964, 0.8440644, 0.8430265, 
  0.8419826, 0.8409326, 0.8398764, 
  0.8388141, 0.8377456, 0.8366708, 
  0.8355897, 0.8345021, 0.8334082, 
  0.8323077, 0.8312007, 0.8300871, 
  0.8289668, 0.8278398, 0.8267060, 
  0.8255653, 0.8244178, 0.8232633, 
  0.8221018, 0.8209332, 0.8197574, 
  0.8185744, 0.8173842, 0.8161866, 
  0.8149816, 0.8137692, 0.8125492, 
  0.8113216, 0.8100863, 0.8088433, 
  0.8075924, 0.8063337, 0.8050671, 
  0.8037924, 0.8025096, 0.8012186, 
  0.7999194, 0.7986118, 0.7972959, 
  0.7959714, 0.7946385, 0.7932968, 
  0.7919465, 0.7905874, 0.7892194, 
  0.7878424, 0.7864564, 0.7850612, 
  0.7836568, 0.7822432, 0.7808201, 
  0.7793875, 0.7779454, 0.7764936, 
  0.7750321, 0.7735607, 0.7720794, 
  0.7705881, 0.7690866, 0.7675749, 
  0.7660528, 0.7645203, 0.7629773, 
  0.7614237, 0.7598593, 0.7582841, 
  0.7566980, 0.7551008, 0.7534924, 
  0.7518727, 0.7502417, 0.7485992, 
  0.7469451, 0.7452793, 0.7436016, 
  0.7419119, 0.7402102, 0.7384963, 
  0.7367701, 0.7350314, 0.7332802, 
  0.7315163, 0.7297396, 0.7279499, 
  0.7261471, 0.7243312, 0.7225019, 
  0.7206591, 0.7188027, 0.7169325, 
  0.7150485, 0.7131504, 0.7112381, 
  0.7093115, 0.7073705, 0.7054148, 
  0.7034444, 0.7014590, 0.6994586, 
  0.6974429, 0.6954119, 0.6933653, 
  0.6913030, 0.6892249, 0.6871307, 
  0.6850203, 0.6828935, 0.6807503, 
  0.6785903, 0.6764134, 0.6742195, 
  0.6720083, 0.6697798, 0.6675336, 
  0.6652697, 0.6629878, 0.6606878, 
  0.6583695, 0.6560326, 0.6536770, 
  0.6513025, 0.6489089, 0.6464959, 
  0.6440635, 0.6416114, 0.6391393, 
  0.6366471, 0.6341346, 0.6316016, 
  0.6290478, 0.6264730, 0.6238770, 
  0.6212597, 0.6186207, 0.6159599, 
  0.6132770, 0.6105718, 0.6078441, 
  0.6050936, 0.6023202, 0.5995235, 
  0.5967034, 0.5938595, 0.5909918, 
  0.5880999, 0.5851835, 0.5822425, 
  0.5792766, 0.5762855, 0.5732690, 
  0.5702268, 0.5671588, 0.5640645, 
  0.5609439, 0.5577965, 0.5546222, 
  0.5514207, 0.5481917, 0.5449349, 
  0.5416501, 0.5383371, 0.5349955, 
  0.5316251, 0.5282255, 0.5247966, 
  0.5213380, 0.5178495, 0.5143307, 
  0.5107814, 0.5072012, 0.5035900, 
  0.4999473, 0.4962729, 0.4925665, 
  0.4888277, 0.4850563, 0.4812519, 
  0.4774142, 0.4735428, 0.4696374, 
  0.4656976, 0.4617231, 0.4577136, 
  0.4536685, 0.4495875, 0.4454702, 
  0.4413161, 0.4371248, 0.4328958, 
  0.4286286, 0.4243227, 0.4199774, 
  0.4155923, 0.4111666, 0.4066997, 
  0.4021908, 0.3976392, 0.3930441, 
  0.3884045, 0.3837194, 0.3789879, 
  0.3742087, 0.3693806, 0.3645024, 
  0.3595724, 0.3545891, 0.3495508, 
  0.3444556, 0.3393013, 0.3340857, 
  0.3288062, 0.3234602, 0.3180445, 
  0.3125559, 0.3069907, 0.3013448, 
  0.2956138, 0.2897928, 0.2838763, 
  0.2778582, 0.2717318, 0.2654896, 
  0.2591231, 0.2526228, 0.2459780, 
  0.2391766, 0.2322045, 0.2250458, 
  0.2176819, 0.2100910, 0.2022474, 
  0.1941201, 0.1856719, 0.1768564, 
  0.1676154, 0.1578741, 0.1475330, 
  0.1364556, 0.1244451, 0.1111990, 
  0.0962082, 0.0784782, 0.0554396}, 
 {0.9986938, 0.9983683, 0.9980417, 
  0.9977141, 0.9973853, 0.9970555, 
  0.9967245, 0.9963924, 0.9960592, 
  0.9957249, 0.9953895, 0.9950529, 
  0.9947152, 0.9943763, 0.9940363, 
  0.9936951, 0.9933528, 0.9930093, 
  0.9926646, 0.9923187, 0.9919717, 
  0.9916235, 0.9912740, 0.9909234, 
  0.9905715, 0.9902184, 0.9898641, 
  0.9895086, 0.9891519, 0.9887938, 
  0.9884346, 0.9880741, 0.9877123, 
  0.9873492, 0.9869849, 0.9866193, 
  0.9862524, 0.9858842, 0.9855147, 
  0.9851439, 0.9847718, 0.9843984, 
  0.9840236, 0.9836475, 0.9832700, 
  0.9828912, 0.9825110, 0.9821295, 
  0.9817466, 0.9813623, 0.9809766, 
  0.9805895, 0.9802011, 0.9798112, 
  0.9794198, 0.9790271, 0.9786329, 
  0.9782373, 0.9778403, 0.9774417, 
  0.9770417, 0.9766403, 0.9762373, 
  0.9758329, 0.9754270, 0.9750195, 
  0.9746105, 0.9742001, 0.9737881, 
  0.9733745, 0.9729594, 0.9725427, 
  0.9721245, 0.9717047, 0.9712833, 
  0.9708603, 0.9704357, 0.9700096, 
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  0.8346798, 0.8339368, 0.8331900, 
  0.8324393, 0.8316848, 0.8309263, 
  0.8301638, 0.8293973, 0.8286268, 
  0.8278523, 0.8270737, 0.8262909, 
  0.8255040, 0.8247129, 0.8239176, 
  0.8231181, 0.8223142, 0.8215061, 
  0.8206936, 0.8198767, 0.8190554, 
  0.8182297, 0.8173994, 0.8165647, 
  0.8157253, 0.8148814, 0.8140328, 
  0.8131796, 0.8123217, 0.8114590, 
  0.8105915, 0.8097192, 0.8088420, 
  0.8079600, 0.8070730, 0.8061810, 
  0.8052839, 0.8043818, 0.8034746, 
  0.8025623, 0.8016448, 0.8007220, 
  0.7997939, 0.7988605, 0.7979218, 
  0.7969776, 0.7960280, 0.7950728, 
  0.7941121, 0.7931459, 0.7921739, 
  0.7911963, 0.7902129, 0.7892237, 
  0.7882287, 0.7872278, 0.7862210, 
  0.7852081, 0.7841892, 0.7831643, 
  0.7821331, 0.7810958, 0.7800522, 
  0.7790022, 0.7779460, 0.7768832, 
  0.7758140, 0.7747383, 0.7736560, 
  0.7725670, 0.7714712, 0.7703688, 
  0.7692594, 0.7681432, 0.7670200, 
  0.7658898, 0.7647525, 0.7636081, 
  0.7624564, 0.7612975, 0.7601312, 
  0.7589575, 0.7577763, 0.7565876, 
  0.7553912, 0.7541872, 0.7529754, 
  0.7517557, 0.7505282, 0.7492927, 
  0.7480491, 0.7467974, 0.7455375, 
  0.7442693, 0.7429927, 0.7417077, 
  0.7404142, 0.7391121, 0.7378013, 
  0.7364817, 0.7351533, 0.7338160, 
  0.7324696, 0.7311142, 0.7297495, 
  0.7283756, 0.7269923, 0.7255995, 
  0.7241972, 0.7227852, 0.7213635, 
  0.7199320, 0.7184905, 0.7170390, 
  0.7155773, 0.7141055, 0.7126233, 
  0.7111307, 0.7096275, 0.7081138, 
  0.7065892, 0.7050538, 0.7035075, 
  0.7019501, 0.7003815, 0.6988016, 
  0.6972103, 0.6956075, 0.6939931, 
  0.6923669, 0.6907288, 0.6890787, 
  0.6874165, 0.6857421, 0.6840553, 
  0.6823560, 0.6806441, 0.6789194, 
  0.6771819, 0.6754313, 0.6736676, 
  0.6718906, 0.6701002, 0.6682963, 
  0.6664786, 0.6646471, 0.6628016, 
  0.6609420, 0.6590681, 0.6571797, 
  0.6552768, 0.6533592, 0.6514267, 
  0.6494791, 0.6475163, 0.6455382, 
  0.6435445, 0.6415352, 0.6395100, 
  0.6374688, 0.6354115, 0.6333377, 
  0.6312475, 0.6291405, 0.6270166, 
  0.6248757, 0.6227176, 0.6205420, 
  0.6183489, 0.6161379, 0.6139090, 
  0.6116619, 0.6093964, 0.6071124, 
  0.6048096, 0.6024879, 0.6001470, 
  0.5977868, 0.5954070, 0.5930074, 
  0.5905879, 0.5881482, 0.5856881, 
  0.5832073, 0.5807058, 0.5781832, 
  0.5756393, 0.5730739, 0.5704869, 
  0.5678779, 0.5652467, 0.5625931, 
  0.5599168, 0.5572177, 0.5544955, 
  0.5517499, 0.5489807, 0.5461877, 
  0.5433707, 0.5405292, 0.5376632, 
  0.5347724, 0.5318565, 0.5289152, 
  0.5