/**
 * Turbo colormap
 * https://ai.googleblog.com/2019/08/turbo-improved-rainbow-colormap-for.html
 *
 * Copyright 2019 Google LLC.
 * SPDX-License-Identifier: Apache-2.0

 * Author: Anton Mikhailov
 */

float turbo_colormap_data[]
             = {0.18995,0.07176,0.23217,
                0.19483,0.08339,0.26149,
                0.19956,0.09498,0.29024,
                0.20415,0.10652,0.31844,
                0.20860,0.11802,0.34607,
                0.21291,0.12947,0.37314,
                0.21708,0.14087,0.39964,
                0.22111,0.15223,0.42558,
                0.22500,0.16354,0.45096,
                0.22875,0.17481,0.47578,
                0.23236,0.18603,0.50004,
                0.23582,0.19720,0.52373,
                0.23915,0.20833,0.54686,
                0.24234,0.21941,0.56942,
                0.24539,0.23044,0.59142,
                0.24830,0.24143,0.61286,
                0.25107,0.25237,0.63374,
                0.25369,0.26327,0.65406,
                0.25618,0.27412,0.67381,
                0.25853,0.28492,0.69300,
                0.26074,0.29568,0.71162,
                0.26280,0.30639,0.72968,
                0.26473,0.31706,0.74718,
                0.26652,0.32768,0.76412,
                0.26816,0.33825,0.78050,
                0.26967,0.34878,0.79631,
                0.27103,0.35926,0.81156,
                0.27226,0.36970,0.82624,
                0.27334,0.38008,0.84037,
                0.27429,0.39043,0.85393,
                0.27509,0.40072,0.86692,
                0.27576,0.41097,0.87936,
                0.27628,0.42118,0.89123,
                0.27667,0.43134,0.90254,
                0.27691,0.44145,0.91328,
                0.27701,0.45152,0.92347,
                0.27698,0.46153,0.93309,
                0.27680,0.47151,0.94214,
                0.27648,0.48144,0.95064,
                0.27603,0.49132,0.95857,
                0.27543,0.50115,0.96594,
                0.27469,0.51094,0.97275,
                0.27381,0.52069,0.97899,
                0.27273,0.53040,0.98461,
                0.27106,0.54015,0.98930,
                0.26878,0.54995,0.99303,
                0.26592,0.55979,0.99583,
                0.26252,0.56967,0.99773,
                0.25862,0.57958,0.99876,
                0.25425,0.58950,0.99896,
                0.24946,0.59943,0.99835,
                0.24427,0.60937,0.99697,
                0.23874,0.61931,0.99485,
                0.23288,0.62923,0.99202,
                0.22676,0.63913,0.98851,
                0.22039,0.64901,0.98436,
                0.21382,0.65886,0.97959,
                0.20708,0.66866,0.97423,
                0.20021,0.67842,0.96833,
                0.19326,0.68812,0.96190,
                0.18625,0.69775,0.95498,
                0.17923,0.70732,0.94761,
                0.17223,0.71680,0.93981,
                0.16529,0.72620,0.93161,
                0.15844,0.73551,0.92305,
                0.15173,0.74472,0.91416,
                0.14519,0.75381,0.90496,
                0.13886,0.76279,0.89550,
                0.13278,0.77165,0.88580,
                0.12698,0.78037,0.87590,
                0.12151,0.78896,0.86581,
                0.11639,0.79740,0.85559,
                0.11167,0.80569,0.84525,
                0.10738,0.81381,0.83484,
                0.10357,0.82177,0.82437,
                0.10026,0.82955,0.81389,
                0.09750,0.83714,0.80342,
                0.09532,0.84455,0.79299,
                0.09377,0.85175,0.78264,
                0.09287,0.85875,0.77240,
                0.09267,0.86554,0.76230,
                0.09320,0.87211,0.75237,
                0.09451,0.87844,0.74265,
                0.09662,0.88454,0.73316,
                0.09958,0.89040,0.72393,
                0.10342,0.89600,0.71500,
                0.10815,0.90142,0.70599,
                0.11374,0.90673,0.69651,
                0.12014,0.91193,0.68660,
                0.12733,0.91701,0.67627,
                0.13526,0.92197,0.66556,
                0.14391,0.92680,0.65448,
                0.15323,0.93151,0.64308,
                0.16319,0.93609,0.63137,
                0.17377,0.94053,0.61938,
                0.18491,0.94484,0.60713,
                0.19659,0.94901,0.59466,
                0.20877,0.95304,0.58199,
                0.22142,0.95692,0.56914,
                0.23449,0.96065,0.55614,
                0.24797,0.96423,0.54303,
                0.26180,0.96765,0.52981,
                0.27597,0.97092,0.51653,
                0.29042,0.97403,0.50321,
                0.30513,0.97697,0.48987,
                0.32006,0.97974,0.47654,
                0.33517,0.98234,0.46325,
                0.35043,0.98477,0.45002,
                0.36581,0.98702,0.43688,
                0.38127,0.98909,0.42386,
                0.39678,0.99098,0.41098,
                0.41229,0.99268,0.39826,
                0.42778,0.99419,0.38575,
                0.44321,0.99551,0.37345,
                0.45854,0.99663,0.36140,
                0.47375,0.99755,0.34963,
                0.48879,0.99828,0.33816,
                0.50362,0.99879,0.32701,
                0.51822,0.99910,0.31622,
                0.53255,0.99919,0.30581,
                0.54658,0.99907,0.29581,
                0.56026,0.99873,0.28623,
                0.57357,0.99817,0.27712,
                0.58646,0.99739,0.26849,
                0.59891,0.99638,0.26038,
                0.61088,0.99514,0.25280,
                0.62233,0.99366,0.24579,
                0.63323,0.99195,0.23937,
                0.64362,0.98999,0.23356,
                0.65394,0.98775,0.22835,
                0.66428,0.98524,0.22370,
                0.67462,0.98246,0.21960,
                0.68494,0.97941,0.21602,
                0.69525,0.97610,0.21294,
                0.70553,0.97255,0.21032,
                0.71577,0.96875,0.20815,
                0.72596,0.96470,0.20640,
                0.73610,0.96043,0.20504,
                0.74617,0.95593,0.20406,
                0.75617,0.95121,0.20343,
                0.76608,0.94627,0.20311,
                0.77591,0.94113,0.20310,
                0.78563,0.93579,0.20336,
                0.79524,0.93025,0.20386,
                0.80473,0.92452,0.20459,
                0.81410,0.91861,0.20552,
                0.82333,0.91253,0.20663,
                0.83241,0.90627,0.20788,
                0.84133,0.89986,0.20926,
                0.85010,0.89328,0.21074,
                0.85868,0.88655,0.21230,
                0.86709,0.87968,0.21391,
                0.87530,0.87267,0.21555,
                0.88331,0.86553,0.21719,
                0.89112,0.85826,0.21880,
                0.89870,0.85087,0.22038,
                0.90605,0.84337,0.22188,
                0.91317,0.83576,0.22328,
                0.92004,0.82806,0.22456,
                0.92666,0.82025,0.22570,
                0.93301,0.81236,0.22667,
                0.93909,0.80439,0.22744,
                0.94489,0.79634,0.22800,
                0.95039,0.78823,0.22831,
                0.95560,0.78005,0.22836,
                0.96049,0.77181,0.22811,
                0.96507,0.76352,0.22754,
                0.96931,0.75519,0.22663,
                0.97323,0.74682,0.22536,
                0.97679,0.73842,0.22369,
                0.98000,0.73000,0.22161,
                0.98289,0.72140,0.21918,
                0.98549,0.71250,0.21650,
                0.98781,0.70330,0.21358,
                0.98986,0.69382,0.21043,
                0.99163,0.68408,0.20706,
                0.99314,0.67408,0.20348,
                0.99438,0.66386,0.19971,
                0.99535,0.65341,0.19577,
                0.99607,0.64277,0.19165,
                0.99654,0.63193,0.18738,
                0.99675,0.62093,0.18297,
                0.99672,0.60977,0.17842,
                0.99644,0.59846,0.17376,
                0.99593,0.58703,0.16899,
                0.99517,0.57549,0.16412,
                0.99419,0.56386,0.15918,
                0.99297,0.55214,0.15417,
                0.99153,0.54036,0.14910,
                0.98987,0.52854,0.14398,
                0.98799,0.51667,0.13883,
                0.98590,0.50479,0.13367,
                0.98360,0.49291,0.12849,
                0.98108,0.48104,0.12332,
                0.97837,0.46920,0.11817,
                0.97545,0.45740,0.11305,
                0.97234,0.44565,0.10797,
                0.96904,0.43399,0.10294,
                0.96555,0.42241,0.09798,
                0.96187,0.41093,0.09310,
                0.95801,0.39958,0.08831,
                0.95398,0.38836,0.08362,
                0.94977,0.37729,0.07905,
                0.94538,0.36638,0.07461,
                0.94084,0.35566,0.07031,
                0.93612,0.34513,0.06616,
                0.93125,0.33482,0.06218,
                0.92623,0.32473,0.05837,
                0.92105,0.31489,0.05475,
                0.91572,0.30530,0.05134,
                0.91024,0.29599,0.04814,
                0.90463,0.28696,0.04516,
                0.89888,0.27824,0.04243,
                0.89298,0.26981,0.03993,
                0.88691,0.26152,0.03753,
                0.88066,0.25334,0.03521,
                0.87422,0.24526,0.03297,
                0.86760,0.23730,0.03082,
                0.86079,0.22945,0.02875,
                0.85380,0.22170,0.02677,
                0.84662,0.21407,0.02487,
                0.83926,0.20654,0.02305,
                0.83172,0.19912,0.02131,
                0.82399,0.19182,0.01966,
                0.81608,0.18462,0.01809,
                0.80799,0.17753,0.01660,
                0.79971,0.17055,0.01520,
                0.79125,0.16368,0.01387,
                0.78260,0.15693,0.01264,
                0.77377,0.15028,0.01148,
                0.76476,0.14374,0.01041,
                0.75556,0.13731,0.00942,
                0.74617,0.13098,0.00851,
                0.73661,0.12477,0.00769,
                0.72686,0.11867,0.00695,
                0.71692,0.11268,0.00629,
                0.70680,0.10680,0.00571,
                0.69650,0.10102,0.00522,
                0.68602,0.09536,0.00481,
                0.67535,0.08980,0.00449,
                0.66449,0.08436,0.00424,
                0.65345,0.07902,0.00408,
                0.64223,0.07380,0.00401,
                0.63082,0.06868,0.00401,
                0.61923,0.06367,0.00410,
                0.60746,0.05878,0.00427,
                0.59550,0.05399,0.00453,
                0.58336,0.04931,0.00486,
                0.57103,0.04474,0.00529,
                0.55852,0.04028,0.00579,
                0.54583,0.03593,0.00638,
                0.53295,0.03169,0.00705,
                0.51989,0.02756,0.00780,
                0.50664,0.02354,0.00863,
                0.49321,0.01963,0.00955,
                0.47960,0.01583,0.01055};

/* New matplotlib colormaps by Nathaniel J. Smith, Stefan van der Walt,
 * and (in the case of viridis) Eric Firing.
 *
 * This file and the colormaps in it are released under the CC0 license /
 * public domain dedication. We would appreciate credit if you use or
 * redistribute these colormaps, but do not impose any legal restrictions.
 *
 * To the extent possible under law, the persons who associated CC0 with
 * mpl-colormaps have waived all copyright and related or neighboring rights
 * to mpl-colormaps.
 *
 * You should have received a copy of the CC0 legalcode along with this
 * work.  If not, see <http://creativecommons.org/publicdomain/zero/1.0/>.
 */


float magma_colormap_data[]
            = {0.001462, 0.000466, 0.013866,
               0.002258, 0.001295, 0.018331,
               0.003279, 0.002305, 0.023708,
               0.004512, 0.003490, 0.029965,
               0.005950, 0.004843, 0.037130,
               0.007588, 0.006356, 0.044973,
               0.009426, 0.008022, 0.052844,
               0.011465, 0.009828, 0.060750,
               0.013708, 0.011771, 0.068667,
               0.016156, 0.013840, 0.076603,
               0.018815, 0.016026, 0.084584,
               0.021692, 0.018320, 0.092610,
               0.024792, 0.020715, 0.100676,
               0.028123, 0.023201, 0.108787,
               0.031696, 0.025765, 0.116965,
               0.035520, 0.028397, 0.125209,
               0.039608, 0.031090, 0.133515,
               0.043830, 0.033830, 0.141886,
               0.048062, 0.036607, 0.150327,
               0.052320, 0.039407, 0.158841,
               0.056615, 0.042160, 0.167446,
               0.060949, 0.044794, 0.176129,
               0.065330, 0.047318, 0.184892,
               0.069764, 0.049726, 0.193735,
               0.074257, 0.052017, 0.202660,
               0.078815, 0.054184, 0.211667,
               0.083446, 0.056225, 0.220755,
               0.088155, 0.058133, 0.229922,
               0.092949, 0.059904, 0.239164,
               0.097833, 0.061531, 0.248477,
               0.102815, 0.063010, 0.257854,
               0.107899, 0.064335, 0.267289,
               0.113094, 0.065492, 0.276784,
               0.118405, 0.066479, 0.286321,
               0.123833, 0.067295, 0.295879,
               0.129380, 0.067935, 0.305443,
               0.135053, 0.068391, 0.315000,
               0.140858, 0.068654, 0.324538,
               0.146785, 0.068738, 0.334011,
               0.152839, 0.068637, 0.343404,
               0.159018, 0.068354, 0.352688,
               0.165308, 0.067911, 0.361816,
               0.171713, 0.067305, 0.370771,
               0.178212, 0.066576, 0.379497,
               0.184801, 0.065732, 0.387973,
               0.191460, 0.064818, 0.396152,
               0.198177, 0.063862, 0.404009,
               0.204935, 0.062907, 0.411514,
               0.211718, 0.061992, 0.418647,
               0.218512, 0.061158, 0.425392,
               0.225302, 0.060445, 0.431742,
               0.232077, 0.059889, 0.437695,
               0.238826, 0.059517, 0.443256,
               0.245543, 0.059352, 0.448436,
               0.252220, 0.059415, 0.453248,
               0.258857, 0.059706, 0.457710,
               0.265447, 0.060237, 0.461840,
               0.271994, 0.060994, 0.465660,
               0.278493, 0.061978, 0.469190,
               0.284951, 0.063168, 0.472451,
               0.291366, 0.064553, 0.475462,
               0.297740, 0.066117, 0.478243,
               0.304081, 0.067835, 0.480812,
               0.310382, 0.069702, 0.483186,
               0.316654, 0.071690, 0.485380,
               0.322899, 0.073782, 0.487408,
               0.329114, 0.075972, 0.489287,
               0.335308, 0.078236, 0.491024,
               0.341482, 0.080564, 0.492631,
               0.347636, 0.082946, 0.494121,
               0.353773, 0.085373, 0.495501,
               0.359898, 0.087831, 0.496778,
               0.366012, 0.090314, 0.497960,
               0.372116, 0.092816, 0.499053,
               0.378211, 0.095332, 0.500067,
               0.384299, 0.097855, 0.501002,
               0.390384, 0.100379, 0.501864,
               0.396467, 0.102902, 0.502658,
               0.402548, 0.105420, 0.503386,
               0.408629, 0.107930, 0.504052,
               0.414709, 0.110431, 0.504662,
               0.420791, 0.112920, 0.505215,
               0.426877, 0.115395, 0.505714,
               0.432967, 0.117855, 0.506160,
               0.439062, 0.120298, 0.506555,
               0.445163, 0.122724, 0.506901,
               0.451271, 0.125132, 0.507198,
               0.457386, 0.127522, 0.507448,
               0.463508, 0.129893, 0.507652,
               0.469640, 0.132245, 0.507809,
               0.475780, 0.134577, 0.507921,
               0.481929, 0.136891, 0.507989,
               0.488088, 0.139186, 0.508011,
               0.494258, 0.141462, 0.507988,
               0.500438, 0.143719, 0.507920,
               0.506629, 0.145958, 0.507806,
               0.512831, 0.148179, 0.507648,
               0.519045, 0.150383, 0.507443,
               0.525270, 0.152569, 0.507192,
               0.531507, 0.154739, 0.506895,
               0.537755, 0.156894, 0.506551,
               0.544015, 0.159033, 0.506159,
               0.550287, 0.161158, 0.505719,
               0.556571, 0.163269, 0.505230,
               0.562866, 0.165368, 0.504692,
               0.569172, 0.167454, 0.504105,
               0.575490, 0.169530, 0.503466,
               0.581819, 0.171596, 0.502777,
               0.588158, 0.173652, 0.502035,
               0.594508, 0.175701, 0.501241,
               0.600868, 0.177743, 0.500394,
               0.607238, 0.179779, 0.499492,
               0.613617, 0.181811, 0.498536,
               0.620005, 0.183840, 0.497524,
               0.626401, 0.185867, 0.496456,
               0.632805, 0.187893, 0.495332,
               0.639216, 0.189921, 0.494150,
               0.645633, 0.191952, 0.492910,
               0.652056, 0.193986, 0.491611,
               0.658483, 0.196027, 0.490253,
               0.664915, 0.198075, 0.488836,
               0.671349, 0.200133, 0.487358,
               0.677786, 0.202203, 0.485819,
               0.684224, 0.204286, 0.484219,
               0.690661, 0.206384, 0.482558,
               0.697098, 0.208501, 0.480835,
               0.703532, 0.210638, 0.479049,
               0.709962, 0.212797, 0.477201,
               0.716387, 0.214982, 0.475290,
               0.722805, 0.217194, 0.473316,
               0.729216, 0.219437, 0.471279,
               0.735616, 0.221713, 0.469180,
               0.742004, 0.224025, 0.467018,
               0.748378, 0.226377, 0.464794,
               0.754737, 0.228772, 0.462509,
               0.761077, 0.231214, 0.460162,
               0.767398, 0.233705, 0.457755,
               0.773695, 0.236249, 0.455289,
               0.779968, 0.238851, 0.452765,
               0.786212, 0.241514, 0.450184,
               0.792427, 0.244242, 0.447543,
               0.798608, 0.247040, 0.444848,
               0.804752, 0.249911, 0.442102,
               0.810855, 0.252861, 0.439305,
               0.816914, 0.255895, 0.436461,
               0.822926, 0.259016, 0.433573,
               0.828886, 0.262229, 0.430644,
               0.834791, 0.265540, 0.427671,
               0.840636, 0.268953, 0.424666,
               0.846416, 0.272473, 0.421631,
               0.852126, 0.276106, 0.418573,
               0.857763, 0.279857, 0.415496,
               0.863320, 0.283729, 0.412403,
               0.868793, 0.287728, 0.409303,
               0.874176, 0.291859, 0.406205,
               0.879464, 0.296125, 0.403118,
               0.884651, 0.300530, 0.400047,
               0.889731, 0.305079, 0.397002,
               0.894700, 0.309773, 0.393995,
               0.899552, 0.314616, 0.391037,
               0.904281, 0.319610, 0.388137,
               0.908884, 0.324755, 0.385308,
               0.913354, 0.330052, 0.382563,
               0.917689, 0.335500, 0.379915,
               0.921884, 0.341098, 0.377376,
               0.925937, 0.346844, 0.374959,
               0.929845, 0.352734, 0.372677,
               0.933606, 0.358764, 0.370541,
               0.937221, 0.364929, 0.368567,
               0.940687, 0.371224, 0.366762,
               0.944006, 0.377643, 0.365136,
               0.947180, 0.384178, 0.363701,
               0.950210, 0.390820, 0.362468,
               0.953099, 0.397563, 0.361438,
               0.955849, 0.404400, 0.360619,
               0.958464, 0.411324, 0.360014,
               0.960949, 0.418323, 0.359630,
               0.963310, 0.425390, 0.359469,
               0.965549, 0.432519, 0.359529,
               0.967671, 0.439703, 0.359810,
               0.969680, 0.446936, 0.360311,
               0.971582, 0.454210, 0.361030,
               0.973381, 0.461520, 0.361965,
               0.975082, 0.468861, 0.363111,
               0.976690, 0.476226, 0.364466,
               0.978210, 0.483612, 0.366025,
               0.979645, 0.491014, 0.367783,
               0.981000, 0.498428, 0.369734,
               0.982279, 0.505851, 0.371874,
               0.983485, 0.513280, 0.374198,
               0.984622, 0.520713, 0.376698,
               0.985693, 0.528148, 0.379371,
               0.986700, 0.535582, 0.382210,
               0.987646, 0.543015, 0.385210,
               0.988533, 0.550446, 0.388365,
               0.989363, 0.557873, 0.391671,
               0.990138, 0.565296, 0.395122,
               0.990871, 0.572706, 0.398714,
               0.991558, 0.580107, 0.402441,
               0.992196, 0.587502, 0.406299,
               0.992785, 0.594891, 0.410283,
               0.993326, 0.602275, 0.414390,
               0.993834, 0.609644, 0.418613,
               0.994309, 0.616999, 0.422950,
               0.994738, 0.624350, 0.427397,
               0.995122, 0.631696, 0.431951,
               0.995480, 0.639027, 0.436607,
               0.995810, 0.646344, 0.441361,
               0.996096, 0.653659, 0.446213,
               0.996341, 0.660969, 0.451160,
               0.996580, 0.668256, 0.456192,
               0.996775, 0.675541, 0.461314,
               0.996925, 0.682828, 0.466526,
               0.997077, 0.690088, 0.471811,
               0.997186, 0.697349, 0.477182,
               0.997254, 0.704611, 0.482635,
               0.997325, 0.711848, 0.488154,
               0.997351, 0.719089, 0.493755,
               0.997351, 0.726324, 0.499428,
               0.997341, 0.733545, 0.505167,
               0.997285, 0.740772, 0.510983,
               0.997228, 0.747981, 0.516859,
               0.997138, 0.755190, 0.522806,
               0.997019, 0.762398, 0.528821,
               0.996898, 0.769591, 0.534892,
               0.996727, 0.776795, 0.541039,
               0.996571, 0.783977, 0.547233,
               0.996369, 0.791167, 0.553499,
               0.996162, 0.798348, 0.559820,
               0.995932, 0.805527, 0.566202,
               0.995680, 0.812706, 0.572645,
               0.995424, 0.819875, 0.579140,
               0.995131, 0.827052, 0.585701,
               0.994851, 0.834213, 0.592307,
               0.994524, 0.841387, 0.598983,
               0.994222, 0.848540, 0.605696,
               0.993866, 0.855711, 0.612482,
               0.993545, 0.862859, 0.619299,
               0.993170, 0.870024, 0.626189,
               0.992831, 0.877168, 0.633109,
               0.992440, 0.884330, 0.640099,
               0.992089, 0.891470, 0.647116,
               0.991688, 0.898627, 0.654202,
               0.991332, 0.905763, 0.661309,
               0.990930, 0.912915, 0.668481,
               0.990570, 0.920049, 0.675675,
               0.990175, 0.927196, 0.682926,
               0.989815, 0.934329, 0.690198,
               0.989434, 0.941470, 0.697519,
               0.989077, 0.948604, 0.704863,
               0.988717, 0.955742, 0.712242,
               0.988367, 0.962878, 0.719649,
               0.988033, 0.970012, 0.727077,
               0.987691, 0.977154, 0.734536,
               0.987387, 0.984288, 0.742002,
               0.987053, 0.991438, 0.749504};

float inferno_colormap_data[] =
                {0.001462, 0.000466, 0.01386,
                 0.002267, 0.001270, 0.018570,
                 0.003299, 0.002249, 0.024239,
                 0.004547, 0.003392, 0.030909,
                 0.006006, 0.004692, 0.038558,
                 0.007676, 0.006136, 0.046836,
                 0.009561, 0.007713, 0.055143,
                 0.011663, 0.009417, 0.063460,
                 0.013995, 0.011225, 0.071862,
                 0.016561, 0.013136, 0.080282,
                 0.019373, 0.015133, 0.088767,
                 0.022447, 0.017199, 0.097327,
                 0.025793, 0.019331, 0.105930,
                 0.029432, 0.021503, 0.114621,
                 0.033385, 0.023702, 0.123397,
                 0.037668, 0.025921, 0.132232,
                 0.042253, 0.028139, 0.141141,
                 0.046915, 0.030324, 0.150164,
                 0.051644, 0.032474, 0.159254,
                 0.056449, 0.034569, 0.168414,
                 0.061340, 0.036590, 0.177642,
                 0.066331, 0.038504, 0.186962,
                 0.071429, 0.040294, 0.196354,
                 0.076637, 0.041905, 0.205799,
                 0.081962, 0.043328, 0.215289,
                 0.087411, 0.044556, 0.224813,
                 0.092990, 0.045583, 0.234358,
                 0.098702, 0.046402, 0.243904,
                 0.104551, 0.047008, 0.253430,
                 0.110536, 0.047399, 0.262912,
                 0.116656, 0.047574, 0.272321,
                 0.122908, 0.047536, 0.281624,
                 0.129285, 0.047293, 0.290788,
                 0.135778, 0.046856, 0.299776,
                 0.142378, 0.046242, 0.308553,
                 0.149073, 0.045468, 0.317085,
                 0.155850, 0.044559, 0.325338,
                 0.162689, 0.043554, 0.333277,
                 0.169575, 0.042489, 0.340874,
                 0.176493, 0.041402, 0.348111,
                 0.183429, 0.040329, 0.354971,
                 0.190367, 0.039309, 0.361447,
                 0.197297, 0.038400, 0.367535,
                 0.204209, 0.037632, 0.373238,
                 0.211095, 0.037030, 0.378563,
                 0.217949, 0.036615, 0.383522,
                 0.224763, 0.036405, 0.388129,
                 0.231538, 0.036405, 0.392400,
                 0.238273, 0.036621, 0.396353,
                 0.244967, 0.037055, 0.400007,
                 0.251620, 0.037705, 0.403378,
                 0.258234, 0.038571, 0.406485,
                 0.264810, 0.039647, 0.409345,
                 0.271347, 0.040922, 0.411976,
                 0.277850, 0.042353, 0.414392,
                 0.284321, 0.043933, 0.416608,
                 0.290763, 0.045644, 0.418637,
                 0.297178, 0.047470, 0.420491,
                 0.303568, 0.049396, 0.422182,
                 0.309935, 0.051407, 0.423721,
                 0.316282, 0.053490, 0.425116,
                 0.322610, 0.055634, 0.426377,
                 0.328921, 0.057827, 0.427511,
                 0.335217, 0.060060, 0.428524,
                 0.341500, 0.062325, 0.429425,
                 0.347771, 0.064616, 0.430217,
                 0.354032, 0.066925, 0.430906,
                 0.360284, 0.069247, 0.431497,
                 0.366529, 0.071579, 0.431994,
                 0.372768, 0.073915, 0.432400,
                 0.379001, 0.076253, 0.432719,
                 0.385228, 0.078591, 0.432955,
                 0.391453, 0.080927, 0.433109,
                 0.397674, 0.083257, 0.433183,
                 0.403894, 0.085580, 0.433179,
                 0.410113, 0.087896, 0.433098,
                 0.416331, 0.090203, 0.432943,
                 0.422549, 0.092501, 0.432714,
                 0.428768, 0.094790, 0.432412,
                 0.434987, 0.097069, 0.432039,
                 0.441207, 0.099338, 0.431594,
                 0.447428, 0.101597, 0.431080,
                 0.453651, 0.103848, 0.430498,
                 0.459875, 0.106089, 0.429846,
                 0.466100, 0.108322, 0.429125,
                 0.472328, 0.110547, 0.428334,
                 0.478558, 0.112764, 0.427475,
                 0.484789, 0.114974, 0.426548,
                 0.491022, 0.117179, 0.425552,
                 0.497257, 0.119379, 0.424488,
                 0.503493, 0.121575, 0.423356,
                 0.509730, 0.123769, 0.422156,
                 0.515967, 0.125960, 0.420887,
                 0.522206, 0.128150, 0.419549,
                 0.528444, 0.130341, 0.418142,
                 0.534683, 0.132534, 0.416667,
                 0.540920, 0.134729, 0.415123,
                 0.547157, 0.136929, 0.413511,
                 0.553392, 0.139134, 0.411829,
                 0.559624, 0.141346, 0.410078,
                 0.565854, 0.143567, 0.408258,
                 0.572081, 0.145797, 0.406369,
                 0.578304, 0.148039, 0.404411,
                 0.584521, 0.150294, 0.402385,
                 0.590734, 0.152563, 0.400290,
                 0.596940, 0.154848, 0.398125,
                 0.603139, 0.157151, 0.395891,
                 0.609330, 0.159474, 0.393589,
                 0.615513, 0.161817, 0.391219,
                 0.621685, 0.164184, 0.388781,
                 0.627847, 0.166575, 0.386276,
                 0.633998, 0.168992, 0.383704,
                 0.640135, 0.171438, 0.381065,
                 0.646260, 0.173914, 0.378359,
                 0.652369, 0.176421, 0.375586,
                 0.658463, 0.178962, 0.372748,
                 0.664540, 0.181539, 0.369846,
                 0.670599, 0.184153, 0.366879,
                 0.676638, 0.186807, 0.363849,
                 0.682656, 0.189501, 0.360757,
                 0.688653, 0.192239, 0.357603,
                 0.694627, 0.195021, 0.354388,
                 0.700576, 0.197851, 0.351113,
                 0.706500, 0.200728, 0.347777,
                 0.712396, 0.203656, 0.344383,
                 0.718264, 0.206636, 0.340931,
                 0.724103, 0.209670, 0.337424,
                 0.729909, 0.212759, 0.333861,
                 0.735683, 0.215906, 0.330245,
                 0.741423, 0.219112, 0.326576,
                 0.747127, 0.222378, 0.322856,
                 0.752794, 0.225706, 0.319085,
                 0.758422, 0.229097, 0.315266,
                 0.764010, 0.232554, 0.311399,
                 0.769556, 0.236077, 0.307485,
                 0.775059, 0.239667, 0.303526,
                 0.780517, 0.243327, 0.299523,
                 0.785929, 0.247056, 0.295477,
                 0.791293, 0.250856, 0.291390,
                 0.796607, 0.254728, 0.287264,
                 0.801871, 0.258674, 0.283099,
                 0.807082, 0.262692, 0.278898,
                 0.812239, 0.266786, 0.274661,
                 0.817341, 0.270954, 0.270390,
                 0.822386, 0.275197, 0.266085,
                 0.827372, 0.279517, 0.261750,
                 0.832299, 0.283913, 0.257383,
                 0.837165, 0.288385, 0.252988,
                 0.841969, 0.292933, 0.248564,
                 0.846709, 0.297559, 0.244113,
                 0.851384, 0.302260, 0.239636,
                 0.855992, 0.307038, 0.235133,
                 0.860533, 0.311892, 0.230606,
                 0.865006, 0.316822, 0.226055,
                 0.869409, 0.321827, 0.221482,
                 0.873741, 0.326906, 0.216886,
                 0.878001, 0.332060, 0.212268,
                 0.882188, 0.337287, 0.207628,
                 0.886302, 0.342586, 0.202968,
                 0.890341, 0.347957, 0.198286,
                 0.894305, 0.353399, 0.193584,
                 0.898192, 0.358911, 0.188860,
                 0.902003, 0.364492, 0.184116,
                 0.905735, 0.370140, 0.179350,
                 0.909390, 0.375856, 0.174563,
                 0.912966, 0.381636, 0.169755,
                 0.916462, 0.387481, 0.164924,
                 0.919879, 0.393389, 0.160070,
                 0.923215, 0.399359, 0.155193,
                 0.926470, 0.405389, 0.150292,
                 0.929644, 0.411479, 0.145367,
                 0.932737, 0.417627, 0.140417,
                 0.935747, 0.423831, 0.135440,
                 0.938675, 0.430091, 0.130438,
                 0.941521, 0.436405, 0.125409,
                 0.944285, 0.442772, 0.120354,
                 0.946965, 0.449191, 0.115272,
                 0.949562, 0.455660, 0.110164,
                 0.952075, 0.462178, 0.105031,
                 0.954506, 0.468744, 0.099874,
                 0.956852, 0.475356, 0.094695,
                 0.959114, 0.482014, 0.089499,
                 0.961293, 0.488716, 0.084289,
                 0.963387, 0.495462, 0.079073,
                 0.965397, 0.502249, 0.073859,
                 0.967322, 0.509078, 0.068659,
                 0.969163, 0.515946, 0.063488,
                 0.970919, 0.522853, 0.058367,
                 0.972590, 0.529798, 0.053324,
                 0.974176, 0.536780, 0.048392,
                 0.975677, 0.543798, 0.043618,
                 0.977092, 0.550850, 0.039050,
                 0.978422, 0.557937, 0.034931,
                 0.979666, 0.565057, 0.031409,
                 0.980824, 0.572209, 0.028508,
                 0.981895, 0.579392, 0.026250,
                 0.982881, 0.586606, 0.024661,
                 0.983779, 0.593849, 0.023770,
                 0.984591, 0.601122, 0.023606,
                 0.985315, 0.608422, 0.024202,
                 0.985952, 0.615750, 0.025592,
                 0.986502, 0.623105, 0.027814,
                 0.986964, 0.630485, 0.030908,
                 0.987337, 0.637890, 0.034916,
                 0.987622, 0.645320, 0.039886,
                 0.987819, 0.652773, 0.045581,
                 0.987926, 0.660250, 0.051750,
                 0.987945, 0.667748, 0.058329,
                 0.987874, 0.675267, 0.065257,
                 0.987714, 0.682807, 0.072489,
                 0.987464, 0.690366, 0.079990,
                 0.987124, 0.697944, 0.087731,
                 0.986694, 0.705540, 0.095694,
                 0.986175, 0.713153, 0.103863,
                 0.985566, 0.720782, 0.112229,
                 0.984865, 0.728427, 0.120785,
                 0.984075, 0.736087, 0.129527,
                 0.983196, 0.743758, 0.138453,
                 0.982228, 0.751442, 0.147565,
                 0.981173, 0.759135, 0.156863,
                 0.980032, 0.766837, 0.166353,
                 0.978806, 0.774545, 0.176037,
                 0.977497, 0.782258, 0.185923,
                 0.976108, 0.789974, 0.196018,
                 0.974638, 0.797692, 0.206332,
                 0.973088, 0.805409, 0.216877,
                 0.971468, 0.813122, 0.227658,
                 0.969783, 0.820825, 0.238686,
                 0.968041, 0.828515, 0.249972,
                 0.966243, 0.836191, 0.261534,
                 0.964394, 0.843848, 0.273391,
                 0.962517, 0.851476, 0.285546,
                 0.960626, 0.859069, 0.298010,
                 0.958720, 0.866624, 0.310820,
                 0.956834, 0.874129, 0.323974,
                 0.954997, 0.881569, 0.337475,
                 0.953215, 0.888942, 0.351369,
                 0.951546, 0.896226, 0.365627,
                 0.950018, 0.903409, 0.380271,
                 0.948683, 0.910473, 0.395289,
                 0.947594, 0.917399, 0.410665,
                 0.946809, 0.924168, 0.426373,
                 0.946392, 0.930761, 0.442367,
                 0.946403, 0.937159, 0.458592,
                 0.946903, 0.943348, 0.474970,
                 0.947937, 0.949318, 0.491426,
                 0.949545, 0.955063, 0.507860,
                 0.951740, 0.960587, 0.524203,
                 0.954529, 0.965896, 0.540361,
                 0.957896, 0.971003, 0.556275,
                 0.961812, 0.975924, 0.571925,
                 0.966249, 0.980678, 0.587206,
                 0.971162, 0.985282, 0.602154,
                 0.976511, 0.989753, 0.616760,
                 0.982257, 0.994109, 0.631017,
                 0.988362, 0.998364, 0.644924};

float plasma_colormap_data[] =
               {0.050383, 0.029803, 0.527975,
                0.063536, 0.028426, 0.533124,
                0.075353, 0.027206, 0.538007,
                0.086222, 0.026125, 0.542658,
                0.096379, 0.025165, 0.547103,
                0.105980, 0.024309, 0.551368,
                0.115124, 0.023556, 0.555468,
                0.123903, 0.022878, 0.559423,
                0.132381, 0.022258, 0.563250,
                0.140603, 0.021687, 0.566959,
                0.148607, 0.021154, 0.570562,
                0.156421, 0.020651, 0.574065,
                0.164070, 0.020171, 0.577478,
                0.171574, 0.019706, 0.580806,
                0.178950, 0.019252, 0.584054,
                0.186213, 0.018803, 0.587228,
                0.193374, 0.018354, 0.590330,
                0.200445, 0.017902, 0.593364,
                0.207435, 0.017442, 0.596333,
                0.214350, 0.016973, 0.599239,
                0.221197, 0.016497, 0.602083,
                0.227983, 0.016007, 0.604867,
                0.234715, 0.015502, 0.607592,
                0.241396, 0.014979, 0.610259,
                0.248032, 0.014439, 0.612868,
                0.254627, 0.013882, 0.615419,
                0.261183, 0.013308, 0.617911,
                0.267703, 0.012716, 0.620346,
                0.274191, 0.012109, 0.622722,
                0.280648, 0.011488, 0.625038,
                0.287076, 0.010855, 0.627295,
                0.293478, 0.010213, 0.629490,
                0.299855, 0.009561, 0.631624,
                0.306210, 0.008902, 0.633694,
                0.312543, 0.008239, 0.635700,
                0.318856, 0.007576, 0.637640,
                0.325150, 0.006915, 0.639512,
                0.331426, 0.006261, 0.641316,
                0.337683, 0.005618, 0.643049,
                0.343925, 0.004991, 0.644710,
                0.350150, 0.004382, 0.646298,
                0.356359, 0.003798, 0.647810,
                0.362553, 0.003243, 0.649245,
                0.368733, 0.002724, 0.650601,
                0.374897, 0.002245, 0.651876,
                0.381047, 0.001814, 0.653068,
                0.387183, 0.001434, 0.654177,
                0.393304, 0.001114, 0.655199,
                0.399411, 0.000859, 0.656133,
                0.405503, 0.000678, 0.656977,
                0.411580, 0.000577, 0.657730,
                0.417642, 0.000564, 0.658390,
                0.423689, 0.000646, 0.658956,
                0.429719, 0.000831, 0.659425,
                0.435734, 0.001127, 0.659797,
                0.441732, 0.001540, 0.660069,
                0.447714, 0.002080, 0.660240,
                0.453677, 0.002755, 0.660310,
                0.459623, 0.003574, 0.660277,
                0.465550, 0.004545, 0.660139,
                0.471457, 0.005678, 0.659897,
                0.477344, 0.006980, 0.659549,
                0.483210, 0.008460, 0.659095,
                0.489055, 0.010127, 0.658534,
                0.494877, 0.011990, 0.657865,
                0.500678, 0.014055, 0.657088,
                0.506454, 0.016333, 0.656202,
                0.512206, 0.018833, 0.655209,
                0.517933, 0.021563, 0.654109,
                0.523633, 0.024532, 0.652901,
                0.529306, 0.027747, 0.651586,
                0.534952, 0.031217, 0.650165,
                0.540570, 0.034950, 0.648640,
                0.546157, 0.038954, 0.647010,
                0.551715, 0.043136, 0.645277,
                0.557243, 0.047331, 0.643443,
                0.562738, 0.051545, 0.641509,
                0.568201, 0.055778, 0.639477,
                0.573632, 0.060028, 0.637349,
                0.579029, 0.064296, 0.635126,
                0.584391, 0.068579, 0.632812,
                0.589719, 0.072878, 0.630408,
                0.595011, 0.077190, 0.627917,
                0.600266, 0.081516, 0.625342,
                0.605485, 0.085854, 0.622686,
                0.610667, 0.090204, 0.619951,
                0.615812, 0.094564, 0.617140,
                0.620919, 0.098934, 0.614257,
                0.625987, 0.103312, 0.611305,
                0.631017, 0.107699, 0.608287,
                0.636008, 0.112092, 0.605205,
                0.640959, 0.116492, 0.602065,
                0.645872, 0.120898, 0.598867,
                0.650746, 0.125309, 0.595617,
                0.655580, 0.129725, 0.592317,
                0.660374, 0.134144, 0.588971,
                0.665129, 0.138566, 0.585582,
                0.669845, 0.142992, 0.582154,
                0.674522, 0.147419, 0.578688,
                0.679160, 0.151848, 0.575189,
                0.683758, 0.156278, 0.571660,
                0.688318, 0.160709, 0.568103,
                0.692840, 0.165141, 0.564522,
                0.697324, 0.169573, 0.560919,
                0.701769, 0.174005, 0.557296,
                0.706178, 0.178437, 0.553657,
                0.710549, 0.182868, 0.550004,
                0.714883, 0.187299, 0.546338,
                0.719181, 0.191729, 0.542663,
                0.723444, 0.196158, 0.538981,
                0.727670, 0.200586, 0.535293,
                0.731862, 0.205013, 0.531601,
                0.736019, 0.209439, 0.527908,
                0.740143, 0.213864, 0.524216,
                0.744232, 0.218288, 0.520524,
                0.748289, 0.222711, 0.516834,
                0.752312, 0.227133, 0.513149,
                0.756304, 0.231555, 0.509468,
                0.760264, 0.235976, 0.505794,
                0.764193, 0.240396, 0.502126,
                0.768090, 0.244817, 0.498465,
                0.771958, 0.249237, 0.494813,
                0.775796, 0.253658, 0.491171,
                0.779604, 0.258078, 0.487539,
                0.783383, 0.262500, 0.483918,
                0.787133, 0.266922, 0.480307,
                0.790855, 0.271345, 0.476706,
                0.794549, 0.275770, 0.473117,
                0.798216, 0.280197, 0.469538,
                0.801855, 0.284626, 0.465971,
                0.805467, 0.289057, 0.462415,
                0.809052, 0.293491, 0.458870,
                0.812612, 0.297928, 0.455338,
                0.816144, 0.302368, 0.451816,
                0.819651, 0.306812, 0.448306,
                0.823132, 0.311261, 0.444806,
                0.826588, 0.315714, 0.441316,
                0.830018, 0.320172, 0.437836,
                0.833422, 0.324635, 0.434366,
                0.836801, 0.329105, 0.430905,
                0.840155, 0.333580, 0.427455,
                0.843484, 0.338062, 0.424013,
                0.846788, 0.342551, 0.420579,
                0.850066, 0.347048, 0.417153,
                0.853319, 0.351553, 0.413734,
                0.856547, 0.356066, 0.410322,
                0.859750, 0.360588, 0.406917,
                0.862927, 0.365119, 0.403519,
                0.866078, 0.369660, 0.400126,
                0.869203, 0.374212, 0.396738,
                0.872303, 0.378774, 0.393355,
                0.875376, 0.383347, 0.389976,
                0.878423, 0.387932, 0.386600,
                0.881443, 0.392529, 0.383229,
                0.884436, 0.397139, 0.379860,
                0.887402, 0.401762, 0.376494,
                0.890340, 0.406398, 0.373130,
                0.893250, 0.411048, 0.369768,
                0.896131, 0.415712, 0.366407,
                0.898984, 0.420392, 0.363047,
                0.901807, 0.425087, 0.359688,
                0.904601, 0.429797, 0.356329,
                0.907365, 0.434524, 0.352970,
                0.910098, 0.439268, 0.349610,
                0.912800, 0.444029, 0.346251,
                0.915471, 0.448807, 0.342890,
                0.918109, 0.453603, 0.339529,
                0.920714, 0.458417, 0.336166,
                0.923287, 0.463251, 0.332801,
                0.925825, 0.468103, 0.329435,
                0.928329, 0.472975, 0.326067,
                0.930798, 0.477867, 0.322697,
                0.933232, 0.482780, 0.319325,
                0.935630, 0.487712, 0.315952,
                0.937990, 0.492667, 0.312575,
                0.940313, 0.497642, 0.309197,
                0.942598, 0.502639, 0.305816,
                0.944844, 0.507658, 0.302433,
                0.947051, 0.512699, 0.299049,
                0.949217, 0.517763, 0.295662,
                0.951344, 0.522850, 0.292275,
                0.953428, 0.527960, 0.288883,
                0.955470, 0.533093, 0.285490,
                0.957469, 0.538250, 0.282096,
                0.959424, 0.543431, 0.278701,
                0.961336, 0.548636, 0.275305,
                0.963203, 0.553865, 0.271909,
                0.965024, 0.559118, 0.268513,
                0.966798, 0.564396, 0.265118,
                0.968526, 0.569700, 0.261721,
                0.970205, 0.575028, 0.258325,
                0.971835, 0.580382, 0.254931,
                0.973416, 0.585761, 0.251540,
                0.974947, 0.591165, 0.248151,
                0.976428, 0.596595, 0.244767,
                0.977856, 0.602051, 0.241387,
                0.979233, 0.607532, 0.238013,
                0.980556, 0.613039, 0.234646,
                0.981826, 0.618572, 0.231287,
                0.983041, 0.624131, 0.227937,
                0.984199, 0.629718, 0.224595,
                0.985301, 0.635330, 0.221265,
                0.986345, 0.640969, 0.217948,
                0.987332, 0.646633, 0.214648,
                0.988260, 0.652325, 0.211364,
                0.989128, 0.658043, 0.208100,
                0.989935, 0.663787, 0.204859,
                0.990681, 0.669558, 0.201642,
                0.991365, 0.675355, 0.198453,
                0.991985, 0.681179, 0.195295,
                0.992541, 0.687030, 0.192170,
                0.993032, 0.692907, 0.189084,
                0.993456, 0.698810, 0.186041,
                0.993814, 0.704741, 0.183043,
                0.994103, 0.710698, 0.180097,
                0.994324, 0.716681, 0.177208,
                0.994474, 0.722691, 0.174381,
                0.994553, 0.728728, 0.171622,
                0.994561, 0.734791, 0.168938,
                0.994495, 0.740880, 0.166335,
                0.994355, 0.746995, 0.163821,
                0.994141, 0.753137, 0.161404,
                0.993851, 0.759304, 0.159092,
                0.993482, 0.765499, 0.156891,
                0.993033, 0.771720, 0.154808,
                0.992505, 0.777967, 0.152855,
                0.991897, 0.784239, 0.151042,
                0.991209, 0.790537, 0.149377,
                0.990439, 0.796859, 0.147870,
                0.989587, 0.803205, 0.146529,
                0.988648, 0.809579, 0.145357,
                0.987621, 0.815978, 0.144363,
                0.986509, 0.822401, 0.143557,
                0.985314, 0.828846, 0.142945,
                0.984031, 0.835315, 0.142528,
                0.982653, 0.841812, 0.142303,
                0.981190, 0.848329, 0.142279,
                0.979644, 0.854866, 0.142453,
                0.977995, 0.861432, 0.142808,
                0.976265, 0.868016, 0.143351,
                0.974443, 0.874622, 0.144061,
                0.972530, 0.881250, 0.144923,
                0.970533, 0.887896, 0.145919,
                0.968443, 0.894564, 0.147014,
                0.966271, 0.901249, 0.148180,
                0.964021, 0.907950, 0.149370,
                0.961681, 0.914672, 0.150520,
                0.959276, 0.921407, 0.151566,
                0.956808, 0.928152, 0.152409,
                0.954287, 0.934908, 0.152921,
                0.951726, 0.941671, 0.152925,
                0.949151, 0.948435, 0.152178,
                0.946602, 0.955190, 0.150328,
                0.944152, 0.961916, 0.146861,
                0.941896, 0.968590, 0.140956,
                0.940015, 0.975158, 0.131326};

float viridis_colormap_data[] =
                {0.267004, 0.004874, 0.329415,
                 0.268510, 0.009605, 0.335427,
                 0.269944, 0.014625, 0.341379,
                 0.271305, 0.019942, 0.347269,
                 0.272594, 0.025563, 0.353093,
                 0.273809, 0.031497, 0.358853,
                 0.274952, 0.037752, 0.364543,
                 0.276022, 0.044167, 0.370164,
                 0.277018, 0.050344, 0.375715,
                 0.277941, 0.056324, 0.381191,
                 0.278791, 0.062145, 0.386592,
                 0.279566, 0.067836, 0.391917,
                 0.280267, 0.073417, 0.397163,
                 0.280894, 0.078907, 0.402329,
                 0.281446, 0.084320, 0.407414,
                 0.281924, 0.089666, 0.412415,
                 0.282327, 0.094955, 0.417331,
                 0.282656, 0.100196, 0.422160,
                 0.282910, 0.105393, 0.426902,
                 0.283091, 0.110553, 0.431554,
                 0.283197, 0.115680, 0.436115,
                 0.283229, 0.120777, 0.440584,
                 0.283187, 0.125848, 0.444960,
                 0.283072, 0.130895, 0.449241,
                 0.282884, 0.135920, 0.453427,
                 0.282623, 0.140926, 0.457517,
                 0.282290, 0.145912, 0.461510,
                 0.281887, 0.150881, 0.465405,
                 0.281412, 0.155834, 0.469201,
                 0.280868, 0.160771, 0.472899,
                 0.280255, 0.165693, 0.476498,
                 0.279574, 0.170599, 0.479997,
                 0.278826, 0.175490, 0.483397,
                 0.278012, 0.180367, 0.486697,
                 0.277134, 0.185228, 0.489898,
                 0.276194, 0.190074, 0.493001,
                 0.275191, 0.194905, 0.496005,
                 0.274128, 0.199721, 0.498911,
                 0.273006, 0.204520, 0.501721,
                 0.271828, 0.209303, 0.504434,
                 0.270595, 0.214069, 0.507052,
                 0.269308, 0.218818, 0.509577,
                 0.267968, 0.223549, 0.512008,
                 0.266580, 0.228262, 0.514349,
                 0.265145, 0.232956, 0.516599,
                 0.263663, 0.237631, 0.518762,
                 0.262138, 0.242286, 0.520837,
                 0.260571, 0.246922, 0.522828,
                 0.258965, 0.251537, 0.524736,
                 0.257322, 0.256130, 0.526563,
                 0.255645, 0.260703, 0.528312,
                 0.253935, 0.265254, 0.529983,
                 0.252194, 0.269783, 0.531579,
                 0.250425, 0.274290, 0.533103,
                 0.248629, 0.278775, 0.534556,
                 0.246811, 0.283237, 0.535941,
                 0.244972, 0.287675, 0.537260,
                 0.243113, 0.292092, 0.538516,
                 0.241237, 0.296485, 0.539709,
                 0.239346, 0.300855, 0.540844,
                 0.237441, 0.305202, 0.541921,
                 0.235526, 0.309527, 0.542944,
                 0.233603, 0.313828, 0.543914,
                 0.231674, 0.318106, 0.544834,
                 0.229739, 0.322361, 0.545706,
                 0.227802, 0.326594, 0.546532,
                 0.225863, 0.330805, 0.547314,
                 0.223925, 0.334994, 0.548053,
                 0.221989, 0.339161, 0.548752,
                 0.220057, 0.343307, 0.549413,
                 0.218130, 0.347432, 0.550038,
                 0.216210, 0.351535, 0.550627,
                 0.214298, 0.355619, 0.551184,
                 0.212395, 0.359683, 0.551710,
                 0.210503, 0.363727, 0.552206,
                 0.208623, 0.367752, 0.552675,
                 0.206756, 0.371758, 0.553117,
                 0.204903, 0.375746, 0.553533,
                 0.203063, 0.379716, 0.553925,
                 0.201239, 0.383670, 0.554294,
                 0.199430, 0.387607, 0.554642,
                 0.197636, 0.391528, 0.554969,
                 0.195860, 0.395433, 0.555276,
                 0.194100, 0.399323, 0.555565,
                 0.192357, 0.403199, 0.555836,
                 0.190631, 0.407061, 0.556089,
                 0.188923, 0.410910, 0.556326,
                 0.187231, 0.414746, 0.556547,
                 0.185556, 0.418570, 0.556753,
                 0.183898, 0.422383, 0.556944,
                 0.182256, 0.426184, 0.557120,
                 0.180629, 0.429975, 0.557282,
                 0.179019, 0.433756, 0.557430,
                 0.177423, 0.437527, 0.557565,
                 0.175841, 0.441290, 0.557685,
                 0.174274, 0.445044, 0.557792,
                 0.172719, 0.448791, 0.557885,
                 0.171176, 0.452530, 0.557965,
                 0.169646, 0.456262, 0.558030,
                 0.168126, 0.459988, 0.558082,
                 0.166617, 0.463708, 0.558119,
                 0.165117, 0.467423, 0.558141,
                 0.163625, 0.471133, 0.558148,
                 0.162142, 0.474838, 0.558140,
                 0.160665, 0.478540, 0.558115,
                 0.159194, 0.482237, 0.558073,
                 0.157729, 0.485932, 0.558013,
                 0.156270, 0.489624, 0.557936,
                 0.154815, 0.493313, 0.557840,
                 0.153364, 0.497000, 0.557724,
                 0.151918, 0.500685, 0.557587,
                 0.150476, 0.504369, 0.557430,
                 0.149039, 0.508051, 0.557250,
                 0.147607, 0.511733, 0.557049,
                 0.146180, 0.515413, 0.556823,
                 0.144759, 0.519093, 0.556572,
                 0.143343, 0.522773, 0.556295,
                 0.141935, 0.526453, 0.555991,
                 0.140536, 0.530132, 0.555659,
                 0.139147, 0.533812, 0.555298,
                 0.137770, 0.537492, 0.554906,
                 0.136408, 0.541173, 0.554483,
                 0.135066, 0.544853, 0.554029,
                 0.133743, 0.548535, 0.553541,
                 0.132444, 0.552216, 0.553018,
                 0.131172, 0.555899, 0.552459,
                 0.129933, 0.559582, 0.551864,
                 0.128729, 0.563265, 0.551229,
                 0.127568, 0.566949, 0.550556,
                 0.126453, 0.570633, 0.549841,
                 0.125394, 0.574318, 0.549086,
                 0.124395, 0.578002, 0.548287,
                 0.123463, 0.581687, 0.547445,
                 0.122606, 0.585371, 0.546557,
                 0.121831, 0.589055, 0.545623,
                 0.121148, 0.592739, 0.544641,
                 0.120565, 0.596422, 0.543611,
                 0.120092, 0.600104, 0.542530,
                 0.119738, 0.603785, 0.541400,
                 0.119512, 0.607464, 0.540218,
                 0.119423, 0.611141, 0.538982,
                 0.119483, 0.614817, 0.537692,
                 0.119699, 0.618490, 0.536347,
                 0.120081, 0.622161, 0.534946,
                 0.120638, 0.625828, 0.533488,
                 0.121380, 0.629492, 0.531973,
                 0.122312, 0.633153, 0.530398,
                 0.123444, 0.636809, 0.528763,
                 0.124780, 0.640461, 0.527068,
                 0.126326, 0.644107, 0.525311,
                 0.128087, 0.647749, 0.523491,
                 0.130067, 0.651384, 0.521608,
                 0.132268, 0.655014, 0.519661,
                 0.134692, 0.658636, 0.517649,
                 0.137339, 0.662252, 0.515571,
                 0.140210, 0.665859, 0.513427,
                 0.143303, 0.669459, 0.511215,
                 0.146616, 0.673050, 0.508936,
                 0.150148, 0.676631, 0.506589,
                 0.153894, 0.680203, 0.504172,
                 0.157851, 0.683765, 0.501686,
                 0.162016, 0.687316, 0.499129,
                 0.166383, 0.690856, 0.496502,
                 0.170948, 0.694384, 0.493803,
                 0.175707, 0.697900, 0.491033,
                 0.180653, 0.701402, 0.488189,
                 0.185783, 0.704891, 0.485273,
                 0.191090, 0.708366, 0.482284,
                 0.196571, 0.711827, 0.479221,
                 0.202219, 0.715272, 0.476084,
                 0.208030, 0.718701, 0.472873,
                 0.214000, 0.722114, 0.469588,
                 0.220124, 0.725509, 0.466226,
                 0.226397, 0.728888, 0.462789,
                 0.232815, 0.732247, 0.459277,
                 0.239374, 0.735588, 0.455688,
                 0.246070, 0.738910, 0.452024,
                 0.252899, 0.742211, 0.448284,
                 0.259857, 0.745492, 0.444467,
                 0.266941, 0.748751, 0.440573,
                 0.274149, 0.751988, 0.436601,
                 0.281477, 0.755203, 0.432552,
                 0.288921, 0.758394, 0.428426,
                 0.296479, 0.761561, 0.424223,
                 0.304148, 0.764704, 0.419943,
                 0.311925, 0.767822, 0.415586,
                 0.319809, 0.770914, 0.411152,
                 0.327796, 0.773980, 0.406640,
                 0.335885, 0.777018, 0.402049,
                 0.344074, 0.780029, 0.397381,
                 0.352360, 0.783011, 0.392636,
                 0.360741, 0.785964, 0.387814,
                 0.369214, 0.788888, 0.382914,
                 0.377779, 0.791781, 0.377939,
                 0.386433, 0.794644, 0.372886,
                 0.395174, 0.797475, 0.367757,
                 0.404001, 0.800275, 0.362552,
                 0.412913, 0.803041, 0.357269,
                 0.421908, 0.805774, 0.351910,
                 0.430983, 0.808473, 0.346476,
                 0.440137, 0.811138, 0.340967,
                 0.449368, 0.813768, 0.335384,
                 0.458674, 0.816363, 0.329727,
                 0.468053, 0.818921, 0.323998,
                 0.477504, 0.821444, 0.318195,
                 0.487026, 0.823929, 0.312321,
                 0.496615, 0.826376, 0.306377,
                 0.506271, 0.828786, 0.300362,
                 0.515992, 0.831158, 0.294279,
                 0.525776, 0.833491, 0.288127,
                 0.535621, 0.835785, 0.281908,
                 0.545524, 0.838039, 0.275626,
                 0.555484, 0.840254, 0.269281,
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