]> granicus.if.org Git - graphviz/commitdiff
Fix for litteral warnings in color_palette.c to address #95 - continued.
authorSteve Barnes <gadgetsteve@hotmail.com>
Sun, 10 Jul 2016 07:08:14 +0000 (08:08 +0100)
committerSteve Barnes <gadgetsteve@hotmail.com>
Sun, 10 Jul 2016 07:08:14 +0000 (08:08 +0100)
lib/sparse/color_palette.c

index e399e474bb0268878b6d795c8beb5a97e2338dfd..f2a5208b071d31b4b45e676116f657b4fb8254b5 100644 (file)
@@ -2527,1984 +2527,1984 @@ float palette_grey_to_red[1001][3]={{0.99f, 0.99f, 0.99f}, {0.99001f, 0.98901f,
 
 
 
-float palette_white_to_red[1001][3]={{1, 1, 1}, {0.99001, 0.98901, 0.98901}, 
-                                    {0.99002, 0.98802, 0.98802}, {0.99003, 0.98703, 0.98703}, 
-                                    {0.99004, 0.98604, 0.98604}, {0.99005, 0.98505, 0.98505}, 
-                                    {0.9900599999999999, 0.98406, 0.98406}, {0.99007, 0.98307, 0.98307}, 
-                                    {0.99008, 0.98208, 0.98208}, {0.99009, 0.98109, 0.98109}, 
-                                    {0.9901, 0.9801, 0.9801}, {0.99011, 0.97911, 0.97911}, 
-                                    {0.99012, 0.97812, 0.97812}, {0.99013, 0.9771299999999999
-                                                                  0.9771299999999999}, {0.99014, 0.97614, 0.97614}, 
-                                    {0.99015, 0.97515, 0.97515}, {0.99016, 0.97416, 0.97416}, 
-                                    {0.99017, 0.97317, 0.97317}, {0.99018, 0.97218, 0.97218}, 
-                                    {0.99019, 0.97119, 0.97119}, {0.9902, 0.9702, 0.9702}, 
-                                    {0.99021, 0.96921, 0.96921}, {0.99022, 0.96822, 0.96822}, 
-                                    {0.9902299999999999, 0.96723, 0.96723}, {0.99024, 0.96624, 0.96624}, 
-                                    {0.99025, 0.9652499999999999, 0.9652499999999999}, 
-                                    {0.99026, 0.96426, 0.96426}, {0.99027, 0.96327, 0.96327}, 
-                                    {0.9902799999999999, 0.96228, 0.96228}, {0.99029, 0.96129, 0.96129}, 
-                                    {0.9903, 0.9603, 0.9603}, {0.99031, 0.95931, 0.95931}, 
-                                    {0.99032, 0.95832, 0.95832}, {0.99033, 0.95733, 0.95733}, 
-                                    {0.99034, 0.95634, 0.95634}, {0.99035, 0.95535, 0.95535}, 
-                                    {0.99036, 0.95436, 0.95436}, {0.99037, 0.95337, 0.95337}, 
-                                    {0.99038, 0.95238, 0.95238}, {0.99039, 0.95139, 0.95139}, 
-                                    {0.9904, 0.9504, 0.9504}, {0.99041, 0.94941, 0.94941}, 
-                                    {0.99042, 0.94842, 0.94842}, {0.99043, 0.94743, 0.94743}, 
-                                    {0.99044, 0.94644, 0.94644}, {0.9904499999999999, 0.94545, 0.94545}, 
-                                    {0.99046, 0.94446, 0.94446}, {0.99047, 0.94347, 0.94347}, 
-                                    {0.99048, 0.94248, 0.94248}, {0.99049, 0.9414899999999999
-                                                                  0.9414899999999999}, {0.9904999999999999, 0.9405, 0.9405}, 
-                                    {0.99051, 0.93951, 0.93951}, {0.99052, 0.93852, 0.93852}, 
-                                    {0.99053, 0.93753, 0.93753}, {0.99054, 0.93654, 0.93654}, 
-                                    {0.99055, 0.93555, 0.93555}, {0.99056, 0.93456, 0.93456}, 
-                                    {0.99057, 0.93357, 0.93357}, {0.99058, 0.93258, 0.93258}, 
-                                    {0.99059, 0.93159, 0.93159}, {0.9906, 0.9306, 0.9306}, 
-                                    {0.99061, 0.92961, 0.92961}, {0.99062, 0.92862, 0.92862}, 
-                                    {0.99063, 0.92763, 0.92763}, {0.99064, 0.92664, 0.92664}, 
-                                    {0.99065, 0.92565, 0.92565}, {0.99066, 0.92466, 0.92466}, 
-                                    {0.9906699999999999, 0.92367, 0.92367}, {0.99068, 0.92268, 0.92268}, 
-                                    {0.99069, 0.92169, 0.92169}, {0.9907, 0.9207, 0.9207}, 
-                                    {0.99071, 0.91971, 0.91971}, {0.99072, 0.91872, 0.91872}, 
-                                    {0.99073, 0.9177299999999999, 0.9177299999999999}, 
-                                    {0.99074, 0.91674, 0.91674}, {0.99075, 0.91575, 0.91575}, 
-                                    {0.99076, 0.91476, 0.91476}, {0.99077, 0.91377, 0.91377}, 
-                                    {0.99078, 0.91278, 0.91278}, {0.99079, 0.91179, 0.91179}, 
-                                    {0.9908, 0.9107999999999999, 0.9107999999999999}, 
-                                    {0.99081, 0.90981, 0.90981}, {0.99082, 0.90882, 0.90882}, 
-                                    {0.99083, 0.90783, 0.90783}, {0.9908399999999999, 0.90684, 0.90684}, 
-                                    {0.99085, 0.90585, 0.90585}, {0.99086, 0.90486, 0.90486}, 
-                                    {0.99087, 0.90387, 0.90387}, {0.99088, 0.90288, 0.90288}, 
-                                    {0.9908899999999999, 0.90189, 0.90189}, {0.9909, 0.9009, 0.9009}, 
-                                    {0.99091, 0.89991, 0.89991}, {0.99092, 0.8989199999999999
-                                                                  0.8989199999999999}, {0.99093, 0.89793, 0.89793}, 
-                                    {0.99094, 0.89694, 0.89694}, {0.99095, 0.89595, 0.89595}, 
-                                    {0.99096, 0.89496, 0.89496}, {0.99097, 0.8939699999999999
-                                                                  0.8939699999999999}, {0.99098, 0.89298, 0.89298}, 
-                                    {0.99099, 0.89199, 0.89199}, {0.991, 0.891, 0.891}, 
-                                    {0.99101, 0.89001, 0.89001}, {0.99102, 0.88902, 0.88902}, 
-                                    {0.99103, 0.88803, 0.88803}, {0.99104, 0.8870399999999999
-                                                                  0.8870399999999999}, {0.99105, 0.88605, 0.88605}, 
-                                    {0.9910599999999999, 0.88506, 0.88506}, {0.99107, 0.88407, 0.88407}, 
-                                    {0.99108, 0.88308, 0.88308}, {0.99109, 0.88209, 0.88209}, 
-                                    {0.9911, 0.8811, 0.8811}, {0.99111, 0.88011, 0.88011}, 
-                                    {0.99112, 0.87912, 0.87912}, {0.99113, 0.87813, 0.87813}, 
-                                    {0.99114, 0.87714, 0.87714}, {0.99115, 0.87615, 0.87615}, 
-                                    {0.99116, 0.8751599999999999, 0.8751599999999999}, 
-                                    {0.99117, 0.87417, 0.87417}, {0.99118, 0.87318, 0.87318}, 
-                                    {0.99119, 0.87219, 0.87219}, {0.9912, 0.8712, 0.8712}, 
-                                    {0.99121, 0.87021, 0.87021}, {0.99122, 0.86922, 0.86922}, 
-                                    {0.9912299999999999, 0.86823, 0.86823}, {0.99124, 0.86724, 0.86724}, 
-                                    {0.99125, 0.86625, 0.86625}, {0.99126, 0.86526, 0.86526}, 
-                                    {0.99127, 0.86427, 0.86427}, {0.9912799999999999, 0.86328, 0.86328}, 
-                                    {0.99129, 0.86229, 0.86229}, {0.9913, 0.8613, 0.8613}, 
-                                    {0.99131, 0.86031, 0.86031}, {0.99132, 0.85932, 0.85932}, 
-                                    {0.99133, 0.85833, 0.85833}, {0.99134, 0.85734, 0.85734}, 
-                                    {0.99135, 0.85635, 0.85635}, {0.99136, 0.85536, 0.85536}, 
-                                    {0.99137, 0.85437, 0.85437}, {0.99138, 0.85338, 0.85338}, 
-                                    {0.99139, 0.85239, 0.85239}, {0.9914, 0.8513999999999999
-                                                                  0.8513999999999999}, {0.99141, 0.85041, 0.85041}, 
-                                    {0.99142, 0.84942, 0.84942}, {0.99143, 0.84843, 0.84843}, 
-                                    {0.99144, 0.84744, 0.84744}, {0.9914499999999999, 0.84645, 0.84645}, 
-                                    {0.99146, 0.84546, 0.84546}, {0.99147, 0.84447, 0.84447}, 
-                                    {0.99148, 0.84348, 0.84348}, {0.99149, 0.84249, 0.84249}, 
-                                    {0.9915, 0.8415, 0.8415}, {0.99151, 0.84051, 0.84051}, 
-                                    {0.99152, 0.83952, 0.83952}, {0.99153, 0.83853, 0.83853}, 
-                                    {0.99154, 0.83754, 0.83754}, {0.99155, 0.83655, 0.83655}, 
-                                    {0.99156, 0.83556, 0.83556}, {0.99157, 0.83457, 0.83457}, 
-                                    {0.99158, 0.83358, 0.83358}, {0.99159, 0.8325899999999999
-                                                                  0.8325899999999999}, {0.9916, 0.8316, 0.8316}, {0.99161, 0.83061, 0.83061}, 
-                                    {0.99162, 0.82962, 0.82962}, {0.99163, 0.82863, 0.82863}, 
-                                    {0.99164, 0.8276399999999999, 0.8276399999999999}, 
-                                    {0.99165, 0.82665, 0.82665}, {0.99166, 0.82566, 0.82566}, 
-                                    {0.9916699999999999, 0.82467, 0.82467}, {0.99168, 0.82368, 0.82368}, 
-                                    {0.99169, 0.8226899999999999, 0.8226899999999999}, {0.9917, 0.8217, 0.8217}, 
-                                    {0.99171, 0.8207099999999999, 0.8207099999999999}, 
-                                    {0.99172, 0.81972, 0.81972}, {0.99173, 0.81873, 0.81873}, 
-                                    {0.99174, 0.8177399999999999, 0.8177399999999999}, 
-                                    {0.99175, 0.81675, 0.81675}, {0.99176, 0.81576, 0.81576}, 
-                                    {0.99177, 0.81477, 0.81477}, {0.99178, 0.81378, 0.81378}, 
-                                    {0.99179, 0.81279, 0.81279}, {0.9918, 0.8118, 0.8118}, 
-                                    {0.99181, 0.81081, 0.81081}, {0.99182, 0.80982, 0.80982}, 
-                                    {0.99183, 0.8088299999999999, 0.8088299999999999}, 
-                                    {0.9918399999999999, 0.80784, 0.80784}, {0.99185, 0.80685, 0.80685}, 
-                                    {0.99186, 0.80586, 0.80586}, {0.99187, 0.80487, 0.80487}, 
-                                    {0.99188, 0.8038799999999999, 0.8038799999999999}, 
-                                    {0.9918899999999999, 0.80289, 0.80289}, {0.9919, 0.8019000000000001
-                                                                             0.8019000000000001}, {0.99191, 0.80091, 0.80091}, 
-                                    {0.99192, 0.79992, 0.79992}, {0.99193, 0.79893, 0.79893}, 
-                                    {0.99194, 0.79794, 0.79794}, {0.99195, 0.79695, 0.79695}, 
-                                    {0.99196, 0.79596, 0.79596}, {0.99197, 0.79497, 0.79497}, 
-                                    {0.99198, 0.79398, 0.79398}, {0.99199, 0.79299, 0.79299}, 
-                                    {0.992, 0.792, 0.792}, {0.99201, 0.79101, 0.79101}, 
-                                    {0.99202, 0.79002, 0.79002}, {0.99203, 0.78903, 0.78903}, 
-                                    {0.99204, 0.78804, 0.78804}, {0.99205, 0.78705, 0.78705}, 
-                                    {0.9920599999999999, 0.78606, 0.78606}, {0.99207, 0.7850699999999999
-                                                                             0.7850699999999999}, {0.99208, 0.78408, 0.78408}, 
-                                    {0.99209, 0.7830900000000001, 0.7830900000000001}, {0.9921, 0.7821, 0.7821}, 
-                                    {0.99211, 0.78111, 0.78111}, {0.99212, 0.78012, 0.78012}, 
-                                    {0.99213, 0.77913, 0.77913}, {0.99214, 0.77814, 0.77814}, 
-                                    {0.99215, 0.77715, 0.77715}, {0.99216, 0.77616, 0.77616}, 
-                                    {0.99217, 0.77517, 0.77517}, {0.99218, 0.77418, 0.77418}, 
-                                    {0.99219, 0.77319, 0.77319}, {0.9922, 0.7722, 0.7722}, 
-                                    {0.99221, 0.77121, 0.77121}, {0.99222, 0.77022, 0.77022}, 
-                                    {0.99223, 0.76923, 0.76923}, {0.99224, 0.76824, 0.76824}, 
-                                    {0.99225, 0.76725, 0.76725}, {0.99226, 0.7662599999999999
-                                                                  0.7662599999999999}, {0.99227, 0.76527, 0.76527}, 
-                                    {0.9922799999999999, 0.76428, 0.76428}, {0.99229, 0.76329, 0.76329}, 
-                                    {0.9923, 0.7623, 0.7623}, {0.99231, 0.7613099999999999, 0.7613099999999999}, 
-                                    {0.99232, 0.76032, 0.76032}, {0.99233, 0.75933, 0.75933}, 
-                                    {0.99234, 0.75834, 0.75834}, {0.99235, 0.75735, 0.75735}, 
-                                    {0.99236, 0.7563599999999999, 0.7563599999999999}, 
-                                    {0.99237, 0.75537, 0.75537}, {0.99238, 0.7543799999999999
-                                                                  0.7543799999999999}, {0.99239, 0.75339, 0.75339}, {0.9924, 0.7524, 0.7524}, 
-                                    {0.99241, 0.75141, 0.75141}, {0.99242, 0.75042, 0.75042}, 
-                                    {0.99243, 0.74943, 0.74943}, {0.99244, 0.74844, 0.74844}, 
-                                    {0.9924499999999999, 0.74745, 0.74745}, {0.99246, 0.74646, 0.74646}, 
-                                    {0.99247, 0.74547, 0.74547}, {0.99248, 0.74448, 0.74448}, 
-                                    {0.99249, 0.74349, 0.74349}, {0.9924999999999999, 0.7424999999999999
-                                                                  0.7424999999999999}, {0.99251, 0.74151, 0.74151}, 
-                                    {0.99252, 0.74052, 0.74052}, {0.99253, 0.73953, 0.73953}, 
-                                    {0.99254, 0.73854, 0.73854}, {0.99255, 0.7375499999999999
-                                                                  0.7375499999999999}, {0.99256, 0.73656, 0.73656}, 
-                                    {0.99257, 0.7355700000000001, 0.7355700000000001}, 
-                                    {0.99258, 0.73458, 0.73458}, {0.99259, 0.73359, 0.73359}, 
-                                    {0.9926, 0.7325999999999999, 0.7325999999999999}, 
-                                    {0.99261, 0.73161, 0.73161}, {0.99262, 0.73062, 0.73062}, 
-                                    {0.99263, 0.72963, 0.72963}, {0.99264, 0.72864, 0.72864}, 
-                                    {0.99265, 0.7276499999999999, 0.7276499999999999}, 
-                                    {0.99266, 0.72666, 0.72666}, {0.9926699999999999, 0.72567, 0.72567}, 
-                                    {0.99268, 0.72468, 0.72468}, {0.99269, 0.7236899999999999
-                                                                  0.7236899999999999}, {0.9927, 0.7226999999999999, 0.7226999999999999}, 
-                                    {0.99271, 0.72171, 0.72171}, {0.99272, 0.72072, 0.72072}, 
-                                    {0.99273, 0.71973, 0.71973}, {0.99274, 0.7187399999999999
-                                                                  0.7187399999999999}, {0.99275, 0.71775, 0.71775}, 
-                                    {0.99276, 0.71676, 0.71676}, {0.99277, 0.71577, 0.71577}, 
-                                    {0.99278, 0.71478, 0.71478}, {0.99279, 0.7137899999999999
-                                                                  0.7137899999999999}, {0.9928, 0.7128, 0.7128}, 
-                                    {0.99281, 0.7118099999999999, 0.7118099999999999}, 
-                                    {0.99282, 0.71082, 0.71082}, {0.99283, 0.70983, 0.70983}, 
-                                    {0.99284, 0.7088399999999999, 0.7088399999999999}, 
-                                    {0.99285, 0.70785, 0.70785}, {0.99286, 0.70686, 0.70686}, 
-                                    {0.99287, 0.70587, 0.70587}, {0.99288, 0.70488, 0.70488}, 
-                                    {0.9928899999999999, 0.70389, 0.70389}, {0.9929, 0.7029000000000001
-                                                                             0.7029000000000001}, {0.99291, 0.70191, 0.70191}, 
-                                    {0.99292, 0.70092, 0.70092}, {0.99293, 0.6999299999999999
-                                                                  0.6999299999999999}, {0.99294, 0.69894, 0.69894}, 
-                                    {0.99295, 0.6979500000000001, 0.6979500000000001}, 
-                                    {0.99296, 0.69696, 0.69696}, {0.99297, 0.69597, 0.69597}, 
-                                    {0.99298, 0.6949799999999999, 0.6949799999999999}, 
-                                    {0.99299, 0.69399, 0.69399}, {0.993, 0.6930000000000001
-                                                                  0.6930000000000001}, {0.99301, 0.69201, 0.69201}, 
-                                    {0.99302, 0.69102, 0.69102}, {0.99303, 0.6900299999999999
-                                                                  0.6900299999999999}, {0.99304, 0.68904, 0.68904}, 
-                                    {0.99305, 0.68805, 0.68805}, {0.9930599999999999, 0.68706, 0.68706}, 
-                                    {0.99307, 0.68607, 0.68607}, {0.99308, 0.68508, 0.68508}, 
-                                    {0.99309, 0.68409, 0.68409}, {0.9931, 0.6831, 0.6831}, 
-                                    {0.99311, 0.68211, 0.68211}, {0.99312, 0.68112, 0.68112}, 
-                                    {0.99313, 0.68013, 0.68013}, {0.99314, 0.67914, 0.67914}, 
-                                    {0.99315, 0.67815, 0.67815}, {0.99316, 0.67716, 0.67716}, 
-                                    {0.99317, 0.6761699999999999, 0.6761699999999999}, 
-                                    {0.99318, 0.67518, 0.67518}, {0.99319, 0.6741900000000001
-                                                                  0.6741900000000001}, {0.9932, 0.6732, 0.6732}, {0.99321, 0.67221, 0.67221}, 
-                                    {0.99322, 0.6712199999999999, 0.6712199999999999}, 
-                                    {0.99323, 0.67023, 0.67023}, {0.99324, 0.6692400000000001
-                                                                  0.6692400000000001}, {0.99325, 0.66825, 0.66825}, 
-                                    {0.99326, 0.66726, 0.66726}, {0.99327, 0.6662699999999999
-                                                                  0.6662699999999999}, {0.9932799999999999, 0.66528, 0.66528}, 
-                                    {0.99329, 0.66429, 0.66429}, {0.9933, 0.6633, 0.6633}, 
-                                    {0.99331, 0.66231, 0.66231}, {0.99332, 0.6613199999999999
-                                                                  0.6613199999999999}, {0.99333, 0.66033, 0.66033}, 
-                                    {0.99334, 0.65934, 0.65934}, {0.99335, 0.65835, 0.65835}, 
-                                    {0.99336, 0.6573599999999999, 0.6573599999999999}, 
-                                    {0.99337, 0.6563699999999999, 0.6563699999999999}, 
-                                    {0.99338, 0.65538, 0.65538}, {0.99339, 0.65439, 0.65439}, 
-                                    {0.9934, 0.6534, 0.6534}, {0.99341, 0.6524099999999999, 0.6524099999999999}, 
-                                    {0.99342, 0.6514199999999999, 0.6514199999999999}, 
-                                    {0.99343, 0.65043, 0.65043}, {0.99344, 0.64944, 0.64944}, 
-                                    {0.9934499999999999, 0.64845, 0.64845}, {0.99346, 0.6474599999999999
-                                                                             0.6474599999999999}, {0.99347, 0.64647, 0.64647}, 
-                                    {0.99348, 0.6454799999999999, 0.6454799999999999}, 
-                                    {0.99349, 0.64449, 0.64449}, {0.9935, 0.6435, 0.6435}, 
-                                    {0.99351, 0.6425099999999999, 0.6425099999999999}, 
-                                    {0.99352, 0.6415200000000001, 0.6415200000000001}, 
-                                    {0.99353, 0.64053, 0.64053}, {0.99354, 0.63954, 0.63954}, 
-                                    {0.99355, 0.63855, 0.63855}, {0.99356, 0.63756, 0.63756}, 
-                                    {0.99357, 0.6365700000000001, 0.6365700000000001}, 
-                                    {0.99358, 0.63558, 0.63558}, {0.99359, 0.63459, 0.63459}, 
-                                    {0.9936, 0.6335999999999999, 0.6335999999999999}, 
-                                    {0.99361, 0.63261, 0.63261}, {0.99362, 0.6316200000000001
-                                                                  0.6316200000000001}, {0.99363, 0.63063, 0.63063}, 
-                                    {0.99364, 0.62964, 0.62964}, {0.99365, 0.6286499999999999
-                                                                  0.6286499999999999}, {0.99366, 0.62766, 0.62766}, 
-                                    {0.9936699999999999, 0.6266700000000001, 0.6266700000000001}, 
-                                    {0.99368, 0.62568, 0.62568}, {0.99369, 0.62469, 0.62469}, 
-                                    {0.9937, 0.6236999999999999, 0.6236999999999999}, 
-                                    {0.99371, 0.62271, 0.62271}, {0.99372, 0.62172, 0.62172}, 
-                                    {0.99373, 0.62073, 0.62073}, {0.99374, 0.61974, 0.61974}, 
-                                    {0.99375, 0.61875, 0.61875}, {0.99376, 0.61776, 0.61776}, 
-                                    {0.99377, 0.61677, 0.61677}, {0.99378, 0.61578, 0.61578}, 
-                                    {0.99379, 0.61479, 0.61479}, {0.9938, 0.6138, 0.6138}, 
-                                    {0.99381, 0.61281, 0.61281}, {0.99382, 0.61182, 0.61182}, 
-                                    {0.99383, 0.61083, 0.61083}, {0.99384, 0.6098399999999999
-                                                                  0.6098399999999999}, {0.99385, 0.60885, 0.60885}, 
-                                    {0.99386, 0.6078600000000001, 0.6078600000000001}, 
-                                    {0.99387, 0.60687, 0.60687}, {0.99388, 0.60588, 0.60588}, 
-                                    {0.9938899999999999, 0.6048899999999999, 0.6048899999999999}, 
-                                    {0.9939, 0.6039, 0.6039}, {0.99391, 0.6029100000000001, 0.6029100000000001}, 
-                                    {0.99392, 0.60192, 0.60192}, {0.99393, 0.60093, 0.60093}, 
-                                    {0.99394, 0.5999399999999999, 0.5999399999999999}, 
-                                    {0.99395, 0.59895, 0.59895}, {0.99396, 0.59796, 0.59796}, 
-                                    {0.99397, 0.59697, 0.59697}, {0.99398, 0.59598, 0.59598}, 
-                                    {0.99399, 0.5949899999999999, 0.5949899999999999}, {0.994, 0.594, 0.594}, 
-                                    {0.99401, 0.59301, 0.59301}, {0.99402, 0.59202, 0.59202}, 
-                                    {0.99403, 0.5910299999999999, 0.5910299999999999}, 
-                                    {0.99404, 0.5900399999999999, 0.5900399999999999}, 
-                                    {0.99405, 0.58905, 0.58905}, {0.9940599999999999, 0.58806, 0.58806}, 
-                                    {0.99407, 0.58707, 0.58707}, {0.99408, 0.5860799999999999
-                                                                  0.5860799999999999}, {0.99409, 0.5850899999999999, 0.5850899999999999}, 
-                                    {0.9941, 0.5841, 0.5841}, {0.99411, 0.58311, 0.58311}, 
-                                    {0.99412, 0.58212, 0.58212}, {0.99413, 0.5811299999999999
-                                                                  0.5811299999999999}, {0.99414, 0.5801399999999999, 0.5801399999999999}, 
-                                    {0.99415, 0.5791499999999999, 0.5791499999999999}, 
-                                    {0.99416, 0.57816, 0.57816}, {0.99417, 0.57717, 0.57717}, 
-                                    {0.99418, 0.57618, 0.57618}, {0.99419, 0.5751900000000001
-                                                                  0.5751900000000001}, {0.9942, 0.5742, 0.5742}, {0.99421, 0.57321, 0.57321}, 
-                                    {0.99422, 0.57222, 0.57222}, {0.99423, 0.57123, 0.57123}, 
-                                    {0.99424, 0.5702400000000001, 0.5702400000000001}, 
-                                    {0.99425, 0.56925, 0.56925}, {0.99426, 0.56826, 0.56826}, 
-                                    {0.99427, 0.5672699999999999, 0.5672699999999999}, 
-                                    {0.9942799999999999, 0.56628, 0.56628}, {0.99429, 0.5652900000000001
-                                                                             0.5652900000000001}, {0.9943, 0.5643, 0.5643}, {0.99431, 0.56331, 0.56331}, 
-                                    {0.99432, 0.5623199999999999, 0.5623199999999999}, 
-                                    {0.99433, 0.56133, 0.56133}, {0.99434, 0.5603400000000001
-                                                                  0.5603400000000001}, {0.99435, 0.55935, 0.55935}, 
-                                    {0.99436, 0.55836, 0.55836}, {0.99437, 0.5573699999999999
-                                                                  0.5573699999999999}, {0.99438, 0.55638, 0.55638}, 
-                                    {0.99439, 0.55539, 0.55539}, {0.9944, 0.5544, 0.5544}, 
-                                    {0.99441, 0.55341, 0.55341}, {0.99442, 0.5524199999999999
-                                                                  0.5524199999999999}, {0.99443, 0.55143, 0.55143}, 
-                                    {0.99444, 0.55044, 0.55044}, {0.99445, 0.54945, 0.54945}, 
-                                    {0.99446, 0.54846, 0.54846}, {0.99447, 0.54747, 0.54747}, 
-                                    {0.99448, 0.54648, 0.54648}, {0.99449, 0.54549, 0.54549}, 
-                                    {0.9944999999999999, 0.5445, 0.5445}, {0.99451, 0.5435099999999999
-                                                                           0.5435099999999999}, {0.99452, 0.54252, 0.54252}, 
-                                    {0.99453, 0.54153, 0.54153}, {0.99454, 0.54054, 0.54054}, 
-                                    {0.99455, 0.53955, 0.53955}, {0.99456, 0.5385599999999999
-                                                                  0.5385599999999999}, {0.99457, 0.53757, 0.53757}, 
-                                    {0.99458, 0.5365800000000001, 0.5365800000000001}, 
-                                    {0.99459, 0.53559, 0.53559}, {0.9946, 0.5346, 0.5346}, 
-                                    {0.99461, 0.5336099999999999, 0.5336099999999999}, 
-                                    {0.99462, 0.53262, 0.53262}, {0.99463, 0.53163, 0.53163}, 
-                                    {0.99464, 0.53064, 0.53064}, {0.99465, 0.52965, 0.52965}, 
-                                    {0.99466, 0.5286599999999999, 0.5286599999999999}, 
-                                    {0.9946699999999999, 0.52767, 0.52767}, {0.99468, 0.52668, 0.52668}, 
-                                    {0.99469, 0.52569, 0.52569}, {0.9947, 0.5246999999999999
-                                                                  0.5246999999999999}, {0.99471, 0.5237099999999999, 0.5237099999999999}, 
-                                    {0.99472, 0.52272, 0.52272}, {0.99473, 0.52173, 0.52173}, 
-                                    {0.99474, 0.52074, 0.52074}, {0.99475, 0.5197499999999999
-                                                                  0.5197499999999999}, {0.99476, 0.5187599999999999, 0.5187599999999999}, 
-                                    {0.99477, 0.51777, 0.51777}, {0.99478, 0.51678, 0.51678}, 
-                                    {0.99479, 0.51579, 0.51579}, {0.9948, 0.5148, 0.5148}, 
-                                    {0.99481, 0.51381, 0.51381}, {0.99482, 0.51282, 0.51282}, 
-                                    {0.99483, 0.51183, 0.51183}, {0.99484, 0.51084, 0.51084}, 
-                                    {0.99485, 0.50985, 0.50985}, {0.99486, 0.5088600000000001
-                                                                  0.5088600000000001}, {0.99487, 0.50787, 0.50787}, 
-                                    {0.99488, 0.50688, 0.50688}, {0.9948899999999999, 0.50589, 0.50589}, 
-                                    {0.9949, 0.5049, 0.5049}, {0.99491, 0.5039100000000001, 0.5039100000000001}, 
-                                    {0.99492, 0.50292, 0.50292}, {0.99493, 0.50193, 0.50193}, 
-                                    {0.99494, 0.5009399999999999, 0.5009399999999999}, 
-                                    {0.99495, 0.49995, 0.49995}, {0.99496, 0.49896, 0.49896}, 
-                                    {0.99497, 0.49797, 0.49797}, {0.99498, 0.49698, 0.49698}, 
-                                    {0.99499, 0.49599, 0.49599}, {0.995, 0.495, 0.495}, 
-                                    {0.99501, 0.49401, 0.49401}, {0.99502, 0.49302, 0.49302}, 
-                                    {0.99503, 0.49202999999999997, 0.49202999999999997}, 
-                                    {0.99504, 0.49104, 0.49104}, {0.99505, 0.49005, 0.49005}, 
-                                    {0.99506, 0.48905999999999994, 0.48905999999999994}, 
-                                    {0.99507, 0.48807, 0.48807}, {0.99508, 0.48707999999999996
-                                                                  0.48707999999999996}, {0.99509, 0.48609, 0.48609}, 
-                                    {0.9951, 0.4851, 0.4851}, {0.99511, 0.48411000000000004
-                                                               0.48411000000000004}, {0.99512, 0.48312, 0.48312}, 
-                                    {0.99513, 0.48212999999999995, 0.48212999999999995}, 
-                                    {0.99514, 0.48114, 0.48114}, {0.99515, 0.48014999999999997
-                                                                  0.48014999999999997}, {0.99516, 0.47916000000000003, 0.47916000000000003}, 
-                                    {0.99517, 0.47817, 0.47817}, {0.99518, 0.47717999999999994
-                                                                  0.47717999999999994}, {0.99519, 0.47619, 0.47619}, 
-                                    {0.9952, 0.47519999999999996, 0.47519999999999996}, 
-                                    {0.99521, 0.47421, 0.47421}, {0.99522, 0.47322, 0.47322}, 
-                                    {0.99523, 0.4722299999999999, 0.4722299999999999}, 
-                                    {0.99524, 0.47124, 0.47124}, {0.99525, 0.47024999999999995
-                                                                  0.47024999999999995}, {0.99526, 0.46926, 0.46926}, 
-                                    {0.99527, 0.46826999999999996, 0.46826999999999996}, 
-                                    {0.9952799999999999, 0.4672799999999999, 0.4672799999999999}, 
-                                    {0.99529, 0.46629, 0.46629}, {0.9953, 0.46529999999999994
-                                                                  0.46529999999999994}, {0.99531, 0.46431, 0.46431}, 
-                                    {0.99532, 0.46331999999999995, 0.46331999999999995}, 
-                                    {0.99533, 0.46233, 0.46233}, {0.99534, 0.46134, 0.46134}, 
-                                    {0.99535, 0.4603499999999999, 0.4603499999999999}, 
-                                    {0.99536, 0.45936, 0.45936}, {0.99537, 0.45836999999999994
-                                                                  0.45836999999999994}, {0.99538, 0.45738, 0.45738}, 
-                                    {0.99539, 0.45638999999999996, 0.45638999999999996}, 
-                                    {0.9954, 0.4553999999999999, 0.4553999999999999}, 
-                                    {0.99541, 0.45441, 0.45441}, {0.99542, 0.45341999999999993
-                                                                  0.45341999999999993}, {0.99543, 0.45243, 0.45243}, 
-                                    {0.99544, 0.45143999999999995, 0.45143999999999995}, 
-                                    {0.99545, 0.4504499999999999, 0.4504499999999999}, 
-                                    {0.99546, 0.44945999999999997, 0.44945999999999997}, 
-                                    {0.99547, 0.4484699999999999, 0.4484699999999999}, 
-                                    {0.99548, 0.44748, 0.44748}, {0.99549, 0.44648999999999994
-                                                                  0.44648999999999994}, {0.9955, 0.4455, 0.4455}, 
-                                    {0.99551, 0.44450999999999996, 0.44450999999999996}, 
-                                    {0.99552, 0.4435199999999999, 0.4435199999999999}, 
-                                    {0.99553, 0.44253, 0.44253}, {0.99554, 0.44153999999999993
-                                                                  0.44153999999999993}, {0.99555, 0.44055, 0.44055}, 
-                                    {0.99556, 0.43955999999999995, 0.43955999999999995}, 
-                                    {0.99557, 0.4385699999999999, 0.4385699999999999}, 
-                                    {0.99558, 0.43757999999999997, 0.43757999999999997}, 
-                                    {0.99559, 0.4365899999999999, 0.4365899999999999}, {0.9956, 0.4356, 0.4356}, 
-                                    {0.99561, 0.43460999999999994, 0.43460999999999994}, 
-                                    {0.99562, 0.4336199999999999, 0.4336199999999999}, 
-                                    {0.99563, 0.43262999999999996, 0.43262999999999996}, 
-                                    {0.99564, 0.4316399999999999, 0.4316399999999999}, 
-                                    {0.99565, 0.43065, 0.43065}, {0.99566, 0.42965999999999993
-                                                                  0.42965999999999993}, {0.9956699999999999, 0.4286699999999999
-                                                                                         0.4286699999999999}, {0.99568, 0.42767999999999995, 0.42767999999999995}, 
-                                    {0.99569, 0.4266899999999999, 0.4266899999999999}, 
-                                    {0.9957, 0.42569999999999997, 0.42569999999999997}, 
-                                    {0.99571, 0.4247099999999999, 0.4247099999999999}, 
-                                    {0.99572, 0.42372, 0.42372}, {0.99573, 0.42272999999999994
-                                                                  0.42272999999999994}, {0.99574, 0.4217399999999999, 0.4217399999999999}, 
-                                    {0.99575, 0.42074999999999996, 0.42074999999999996}, 
-                                    {0.99576, 0.4197599999999999, 0.4197599999999999}, 
-                                    {0.99577, 0.4187700000000001, 0.4187700000000001}, 
-                                    {0.99578, 0.41778000000000004, 0.41778000000000004}, 
-                                    {0.99579, 0.41679, 0.41679}, {0.9958, 0.41580000000000006
-                                                                  0.41580000000000006}, {0.99581, 0.41481, 0.41481}, 
-                                    {0.99582, 0.4138200000000001, 0.4138200000000001}, 
-                                    {0.99583, 0.41283000000000003, 0.41283000000000003}, 
-                                    {0.99584, 0.41184, 0.41184}, {0.99585, 0.41085000000000005
-                                                                  0.41085000000000005}, {0.99586, 0.40986, 0.40986}, 
-                                    {0.99587, 0.40887000000000007, 0.40887000000000007}, 
-                                    {0.99588, 0.40788, 0.40788}, {0.9958899999999999, 0.40689, 0.40689}, 
-                                    {0.9959, 0.40590000000000004, 0.40590000000000004}, 
-                                    {0.99591, 0.40491, 0.40491}, {0.99592, 0.40392000000000006
-                                                                  0.40392000000000006}, {0.99593, 0.40293, 0.40293}, 
-                                    {0.99594, 0.4019400000000001, 0.4019400000000001}, 
-                                    {0.99595, 0.40095000000000003, 0.40095000000000003}, 
-                                    {0.99596, 0.39996, 0.39996}, {0.99597, 0.39897000000000005
-                                                                  0.39897000000000005}, {0.99598, 0.39798, 0.39798}, 
-                                    {0.99599, 0.39699000000000007, 0.39699000000000007}, {0.996, 0.396, 0.396}, 
-                                    {0.99601, 0.39501, 0.39501}, {0.99602, 0.39402000000000004
-                                                                  0.39402000000000004}, {0.99603, 0.39303, 0.39303}, 
-                                    {0.99604, 0.39204000000000006, 0.39204000000000006}, 
-                                    {0.99605, 0.39105, 0.39105}, {0.99606, 0.39005999999999996
-                                                                  0.39005999999999996}, {0.99607, 0.38907, 0.38907}, 
-                                    {0.99608, 0.38808, 0.38808}, {0.99609, 0.38709000000000005
-                                                                  0.38709000000000005}, {0.9961, 0.3861, 0.3861}, 
-                                    {0.99611, 0.38511000000000006, 0.38511000000000006}, 
-                                    {0.99612, 0.38412, 0.38412}, {0.99613, 0.38312999999999997
-                                                                  0.38312999999999997}, {0.99614, 0.38214000000000004, 0.38214000000000004}, 
-                                    {0.99615, 0.38115, 0.38115}, {0.99616, 0.38016000000000005
-                                                                  0.38016000000000005}, {0.99617, 0.37917, 0.37917}, 
-                                    {0.99618, 0.37817999999999996, 0.37817999999999996}, 
-                                    {0.99619, 0.37719, 0.37719}, {0.9962, 0.3762, 0.3762}, 
-                                    {0.99621, 0.37521000000000004, 0.37521000000000004}, 
-                                    {0.99622, 0.37422, 0.37422}, {0.99623, 0.37322999999999995
-                                                                  0.37322999999999995}, {0.99624, 0.37224, 0.37224}, 
-                                    {0.99625, 0.37124999999999997, 0.37124999999999997}, 
-                                    {0.99626, 0.37026000000000003, 0.37026000000000003}, 
-                                    {0.99627, 0.36927, 0.36927}, {0.9962799999999999, 0.36827999999999994
-                                                                  0.36827999999999994}, {0.99629, 0.36729, 0.36729}, 
-                                    {0.9963, 0.36629999999999996, 0.36629999999999996}, 
-                                    {0.99631, 0.36531, 0.36531}, {0.99632, 0.36432, 0.36432}, 
-                                    {0.99633, 0.36333000000000004, 0.36333000000000004}, 
-                                    {0.99634, 0.36234, 0.36234}, {0.99635, 0.36134999999999995
-                                                                  0.36134999999999995}, {0.99636, 0.36036, 0.36036}, 
-                                    {0.99637, 0.35936999999999997, 0.35936999999999997}, 
-                                    {0.99638, 0.35838000000000003, 0.35838000000000003}, 
-                                    {0.99639, 0.35739, 0.35739}, {0.9964, 0.35639999999999994
-                                                                  0.35639999999999994}, {0.99641, 0.35541, 0.35541}, 
-                                    {0.99642, 0.35441999999999996, 0.35441999999999996}, 
-                                    {0.99643, 0.35343, 0.35343}, {0.99644, 0.35244, 0.35244}, 
-                                    {0.99645, 0.35144999999999993, 0.35144999999999993}, 
-                                    {0.99646, 0.35046, 0.35046}, {0.99647, 0.34946999999999995
-                                                                  0.34946999999999995}, {0.99648, 0.34848, 0.34848}, 
-                                    {0.99649, 0.34748999999999997, 0.34748999999999997}, 
-                                    {0.9964999999999999, 0.34650000000000003, 0.34650000000000003}, 
-                                    {0.99651, 0.34551, 0.34551}, {0.99652, 0.34451999999999994
-                                                                  0.34451999999999994}, {0.99653, 0.34353, 0.34353}, 
-                                    {0.99654, 0.34253999999999996, 0.34253999999999996}, 
-                                    {0.99655, 0.34155, 0.34155}, {0.99656, 0.34056, 0.34056}, 
-                                    {0.99657, 0.3395699999999999, 0.3395699999999999}, 
-                                    {0.99658, 0.33858, 0.33858}, {0.99659, 0.33758999999999995
-                                                                  0.33758999999999995}, {0.9966, 0.3366, 0.3366}, 
-                                    {0.99661, 0.33560999999999996, 0.33560999999999996}, 
-                                    {0.99662, 0.3346199999999999, 0.3346199999999999}, 
-                                    {0.99663, 0.33363, 0.33363}, {0.99664, 0.33263999999999994
-                                                                  0.33263999999999994}, {0.99665, 0.33165, 0.33165}, 
-                                    {0.99666, 0.33065999999999995, 0.33065999999999995}, 
-                                    {0.99667, 0.3296699999999999, 0.3296699999999999}, 
-                                    {0.99668, 0.32867999999999997, 0.32867999999999997}, 
-                                    {0.99669, 0.3276899999999999, 0.3276899999999999}, {0.9967, 0.3267, 0.3267}, 
-                                    {0.99671, 0.32570999999999994, 0.32570999999999994}, 
-                                    {0.99672, 0.32472, 0.32472}, {0.99673, 0.32372999999999996
-                                                                  0.32372999999999996}, {0.99674, 0.3227399999999999, 0.3227399999999999}, 
-                                    {0.99675, 0.32175, 0.32175}, {0.99676, 0.32075999999999993
-                                                                  0.32075999999999993}, {0.99677, 0.31977, 0.31977}, 
-                                    {0.99678, 0.31877999999999995, 0.31877999999999995}, 
-                                    {0.99679, 0.3177899999999999, 0.3177899999999999}, 
-                                    {0.9968, 0.31679999999999997, 0.31679999999999997}, 
-                                    {0.99681, 0.3158099999999999, 0.3158099999999999}, 
-                                    {0.99682, 0.31482, 0.31482}, {0.99683, 0.31382999999999994
-                                                                  0.31382999999999994}, {0.99684, 0.3128399999999999, 0.3128399999999999}, 
-                                    {0.99685, 0.31184999999999996, 0.31184999999999996}, 
-                                    {0.99686, 0.3108599999999999, 0.3108599999999999}, 
-                                    {0.99687, 0.30987, 0.30987}, {0.99688, 0.30887999999999993
-                                                                  0.30887999999999993}, {0.9968899999999999, 0.3078899999999999
-                                                                                         0.3078899999999999}, {0.9969, 0.30689999999999995, 0.30689999999999995}, 
-                                    {0.99691, 0.3059099999999999, 0.3059099999999999}, 
-                                    {0.99692, 0.30491999999999997, 0.30491999999999997}, 
-                                    {0.99693, 0.3039299999999999, 0.3039299999999999}, 
-                                    {0.99694, 0.30294, 0.30294}, {0.99695, 0.30194999999999994
-                                                                  0.30194999999999994}, {0.99696, 0.3009599999999999, 0.3009599999999999}, 
-                                    {0.99697, 0.29996999999999996, 0.29996999999999996}, 
-                                    {0.99698, 0.2989799999999999, 0.2989799999999999}, 
-                                    {0.99699, 0.29799, 0.29799}, {0.997, 0.29699999999999993
-                                                                  0.29699999999999993}, {0.99701, 0.2960099999999999, 0.2960099999999999}, 
-                                    {0.99702, 0.29501999999999995, 0.29501999999999995}, 
-                                    {0.99703, 0.2940299999999999, 0.2940299999999999}, 
-                                    {0.99704, 0.2930400000000001, 0.2930400000000001}, 
-                                    {0.99705, 0.29205000000000003, 0.29205000000000003}, 
-                                    {0.99706, 0.29106, 0.29106}, {0.99707, 0.29007000000000005
-                                                                  0.29007000000000005}, {0.99708, 0.28908, 0.28908}, 
-                                    {0.99709, 0.28809000000000007, 0.28809000000000007}, 
-                                    {0.9971, 0.2871, 0.2871}, {0.99711, 0.2861100000000001, 0.2861100000000001}, 
-                                    {0.99712, 0.28512000000000004, 0.28512000000000004}, 
-                                    {0.99713, 0.28413, 0.28413}, {0.99714, 0.28314000000000006
-                                                                  0.28314000000000006}, {0.99715, 0.28215, 0.28215}, 
-                                    {0.99716, 0.2811600000000001, 0.2811600000000001}, 
-                                    {0.99717, 0.28017000000000003, 0.28017000000000003}, 
-                                    {0.99718, 0.27918, 0.27918}, {0.99719, 0.27819000000000005
-                                                                  0.27819000000000005}, {0.9972, 0.2772, 0.2772}, 
-                                    {0.99721, 0.27621000000000007, 0.27621000000000007}, 
-                                    {0.99722, 0.27522, 0.27522}, {0.99723, 0.27423, 0.27423}, 
-                                    {0.99724, 0.27324000000000004, 0.27324000000000004}, 
-                                    {0.99725, 0.27225, 0.27225}, {0.99726, 0.27126000000000006
-                                                                  0.27126000000000006}, {0.99727, 0.27027, 0.27027}, 
-                                    {0.9972799999999999, 0.26927999999999996, 0.26927999999999996}, 
-                                    {0.99729, 0.26829000000000003, 0.26829000000000003}, 
-                                    {0.9973, 0.2673, 0.2673}, {0.99731, 0.26631000000000005
-                                                               0.26631000000000005}, {0.99732, 0.26532, 0.26532}, 
-                                    {0.99733, 0.26433000000000006, 0.26433000000000006}, 
-                                    {0.99734, 0.26334, 0.26334}, {0.99735, 0.26234999999999997
-                                                                  0.26234999999999997}, {0.99736, 0.26136000000000004, 0.26136000000000004}, 
-                                    {0.99737, 0.26037, 0.26037}, {0.99738, 0.25938000000000005
-                                                                  0.25938000000000005}, {0.99739, 0.25839, 0.25839}, 
-                                    {0.9974, 0.25739999999999996, 0.25739999999999996}, 
-                                    {0.99741, 0.25641, 0.25641}, {0.99742, 0.25542, 0.25542}, 
-                                    {0.99743, 0.25443000000000005, 0.25443000000000005}, 
-                                    {0.99744, 0.25344, 0.25344}, {0.99745, 0.25244999999999995
-                                                                  0.25244999999999995}, {0.99746, 0.25146, 0.25146}, 
-                                    {0.99747, 0.25046999999999997, 0.25046999999999997}, 
-                                    {0.99748, 0.24948000000000004, 0.24948000000000004}, 
-                                    {0.99749, 0.24849, 0.24849}, {0.9975, 0.24750000000000005
-                                                                  0.24750000000000005}, {0.99751, 0.24651, 0.24651}, 
-                                    {0.99752, 0.24551999999999996, 0.24551999999999996}, 
-                                    {0.99753, 0.24453000000000003, 0.24453000000000003}, 
-                                    {0.99754, 0.24353999999999998, 0.24353999999999998}, 
-                                    {0.99755, 0.24255000000000004, 0.24255000000000004}, 
-                                    {0.99756, 0.24156, 0.24156}, {0.99757, 0.24056999999999995
-                                                                  0.24056999999999995}, {0.99758, 0.23958000000000002, 0.23958000000000002}, 
-                                    {0.99759, 0.23858999999999997, 0.23858999999999997}, 
-                                    {0.9976, 0.23760000000000003, 0.23760000000000003}, 
-                                    {0.99761, 0.23661, 0.23661}, {0.99762, 0.23561999999999994
-                                                                  0.23561999999999994}, {0.99763, 0.23463, 0.23463}, 
-                                    {0.99764, 0.23363999999999996, 0.23363999999999996}, 
-                                    {0.99765, 0.23265000000000002, 0.23265000000000002}, 
-                                    {0.99766, 0.23165999999999998, 0.23165999999999998}, 
-                                    {0.99767, 0.23066999999999993, 0.23066999999999993}, 
-                                    {0.99768, 0.22968, 0.22968}, {0.99769, 0.22868999999999995
-                                                                  0.22868999999999995}, {0.9977, 0.2277, 0.2277}, 
-                                    {0.99771, 0.22670999999999997, 0.22670999999999997}, 
-                                    {0.99772, 0.22572000000000003, 0.22572000000000003}, 
-                                    {0.99773, 0.22472999999999999, 0.22472999999999999}, 
-                                    {0.99774, 0.22373999999999994, 0.22373999999999994}, 
-                                    {0.99775, 0.22275, 0.22275}, {0.99776, 0.22175999999999996
-                                                                  0.22175999999999996}, {0.99777, 0.22077000000000002, 0.22077000000000002}, 
-                                    {0.99778, 0.21977999999999998, 0.21977999999999998}, 
-                                    {0.99779, 0.21878999999999993, 0.21878999999999993}, 
-                                    {0.9978, 0.2178, 0.2178}, {0.99781, 0.21680999999999995
-                                                               0.21680999999999995}, {0.99782, 0.21582, 0.21582}, 
-                                    {0.99783, 0.21482999999999997, 0.21482999999999997}, 
-                                    {0.99784, 0.21383999999999992, 0.21383999999999992}, 
-                                    {0.99785, 0.21284999999999998, 0.21284999999999998}, 
-                                    {0.99786, 0.21185999999999994, 0.21185999999999994}, 
-                                    {0.99787, 0.21087, 0.21087}, {0.99788, 0.20987999999999996
-                                                                  0.20987999999999996}, {0.9978899999999999, 0.2088899999999999
-                                                                                         0.2088899999999999}, {0.9979, 0.20789999999999997, 0.20789999999999997}, 
-                                    {0.99791, 0.20690999999999993, 0.20690999999999993}, 
-                                    {0.99792, 0.20592, 0.20592}, {0.99793, 0.20492999999999995
-                                                                  0.20492999999999995}, {0.99794, 0.20394, 0.20394}, 
-                                    {0.99795, 0.20294999999999996, 0.20294999999999996}, 
-                                    {0.99796, 0.20195999999999992, 0.20195999999999992}, 
-                                    {0.99797, 0.20096999999999998, 0.20096999999999998}, 
-                                    {0.99798, 0.19997999999999994, 0.19997999999999994}, 
-                                    {0.99799, 0.19899, 0.19899}, {0.998, 0.19799999999999995
-                                                                  0.19799999999999995}, {0.99801, 0.1970099999999999, 0.1970099999999999}, 
-                                    {0.99802, 0.19601999999999997, 0.19601999999999997}, 
-                                    {0.99803, 0.19502999999999993, 0.19502999999999993}, 
-                                    {0.99804, 0.19404, 0.19404}, {0.99805, 0.19304999999999994
-                                                                  0.19304999999999994}, {0.99806, 0.1920599999999999, 0.1920599999999999}, 
-                                    {0.99807, 0.19106999999999996, 0.19106999999999996}, 
-                                    {0.99808, 0.19007999999999992, 0.19007999999999992}, 
-                                    {0.99809, 0.18908999999999998, 0.18908999999999998}, 
-                                    {0.9981, 0.18809999999999993, 0.18809999999999993}, 
-                                    {0.99811, 0.18711, 0.18711}, {0.99812, 0.18611999999999995
-                                                                  0.18611999999999995}, {0.99813, 0.1851299999999999, 0.1851299999999999}, 
-                                    {0.99814, 0.18413999999999997, 0.18413999999999997}, 
-                                    {0.99815, 0.18314999999999992, 0.18314999999999992}, 
-                                    {0.99816, 0.18216, 0.18216}, {0.99817, 0.18116999999999994
-                                                                  0.18116999999999994}, {0.99818, 0.1801799999999999, 0.1801799999999999}, 
-                                    {0.99819, 0.17918999999999996, 0.17918999999999996}, 
-                                    {0.9982, 0.17819999999999991, 0.17819999999999991}, 
-                                    {0.99821, 0.17720999999999998, 0.17720999999999998}, 
-                                    {0.99822, 0.17621999999999993, 0.17621999999999993}, 
-                                    {0.99823, 0.17522999999999989, 0.17522999999999989}, 
-                                    {0.99824, 0.17423999999999995, 0.17423999999999995}, 
-                                    {0.99825, 0.1732499999999999, 0.1732499999999999}, 
-                                    {0.99826, 0.17225999999999997, 0.17225999999999997}, 
-                                    {0.99827, 0.17126999999999992, 0.17126999999999992}, 
-                                    {0.99828, 0.17027999999999988, 0.17027999999999988}, 
-                                    {0.99829, 0.16928999999999994, 0.16928999999999994}, 
-                                    {0.9983, 0.1682999999999999, 0.1682999999999999}, 
-                                    {0.99831, 0.16730999999999996, 0.16730999999999996}, 
-                                    {0.99832, 0.1663199999999999, 0.1663199999999999}, 
-                                    {0.99833, 0.1653300000000001, 0.1653300000000001}, 
-                                    {0.99834, 0.16434000000000004, 0.16434000000000004}, 
-                                    {0.99835, 0.16335, 0.16335}, {0.99836, 0.16236000000000006
-                                                                  0.16236000000000006}, {0.99837, 0.16137, 0.16137}, 
-                                    {0.99838, 0.16038000000000008, 0.16038000000000008}, 
-                                    {0.99839, 0.15939000000000003, 0.15939000000000003}, 
-                                    {0.9984, 0.15839999999999999, 0.15839999999999999}, 
-                                    {0.99841, 0.15741000000000005, 0.15741000000000005}, 
-                                    {0.99842, 0.15642, 0.15642}, {0.99843, 0.15543000000000007
-                                                                  0.15543000000000007}, {0.99844, 0.15444000000000002, 0.15444000000000002}, 
-                                    {0.99845, 0.15344999999999998, 0.15344999999999998}, 
-                                    {0.99846, 0.15246000000000004, 0.15246000000000004}, 
-                                    {0.99847, 0.15147, 0.15147}, {0.99848, 0.15048000000000006
-                                                                  0.15048000000000006}, {0.99849, 0.14949, 0.14949}, 
-                                    {0.9984999999999999, 0.14849999999999997, 0.14849999999999997}, 
-                                    {0.99851, 0.14751000000000003, 0.14751000000000003}, 
-                                    {0.99852, 0.14651999999999998, 0.14651999999999998}, 
-                                    {0.99853, 0.14553000000000005, 0.14553000000000005}, 
-                                    {0.99854, 0.14454, 0.14454}, {0.99855, 0.14355000000000007
-                                                                  0.14355000000000007}, {0.99856, 0.14256000000000002, 0.14256000000000002}, 
-                                    {0.99857, 0.14156999999999997, 0.14156999999999997}, 
-                                    {0.99858, 0.14058000000000004, 0.14058000000000004}, 
-                                    {0.99859, 0.13959, 0.13959}, {0.9986, 0.13860000000000006
-                                                                  0.13860000000000006}, {0.99861, 0.13761, 0.13761}, 
-                                    {0.99862, 0.13661999999999996, 0.13661999999999996}, 
-                                    {0.99863, 0.13563000000000003, 0.13563000000000003}, 
-                                    {0.99864, 0.13463999999999998, 0.13463999999999998}, 
-                                    {0.99865, 0.13365000000000005, 0.13365000000000005}, 
-                                    {0.99866, 0.13266, 0.13266}, {0.99867, 0.13166999999999995
-                                                                  0.13166999999999995}, {0.99868, 0.13068000000000002, 0.13068000000000002}, 
-                                    {0.99869, 0.12968999999999997, 0.12968999999999997}, 
-                                    {0.9987, 0.12870000000000004, 0.12870000000000004}, 
-                                    {0.99871, 0.12771, 0.12771}, {0.99872, 0.12672000000000005
-                                                                  0.12672000000000005}, {0.99873, 0.12573, 0.12573}, 
-                                    {0.99874, 0.12473999999999996, 0.12473999999999996}, 
-                                    {0.99875, 0.12375000000000003, 0.12375000000000003}, 
-                                    {0.99876, 0.12275999999999998, 0.12275999999999998}, 
-                                    {0.99877, 0.12177000000000004, 0.12177000000000004}, 
-                                    {0.99878, 0.12078, 0.12078}, {0.99879, 0.11978999999999995
-                                                                  0.11978999999999995}, {0.9988, 0.11880000000000002, 0.11880000000000002}, 
-                                    {0.99881, 0.11780999999999997, 0.11780999999999997}, 
-                                    {0.99882, 0.11682000000000003, 0.11682000000000003}, 
-                                    {0.99883, 0.11582999999999999, 0.11582999999999999}, 
-                                    {0.99884, 0.11483999999999994, 0.11483999999999994}, 
-                                    {0.99885, 0.11385, 0.11385}, {0.99886, 0.11285999999999996
-                                                                  0.11285999999999996}, {0.99887, 0.11187000000000002, 0.11187000000000002}, 
-                                    {0.99888, 0.11087999999999998, 0.11087999999999998}, 
-                                    {0.99889, 0.10988999999999993, 0.10988999999999993}, 
-                                    {0.9989, 0.1089, 0.1089}, {0.99891, 0.10790999999999995
-                                                               0.10790999999999995}, {0.99892, 0.10692000000000002, 0.10692000000000002}, 
-                                    {0.99893, 0.10592999999999997, 0.10592999999999997}, 
-                                    {0.99894, 0.10494000000000003, 0.10494000000000003}, 
-                                    {0.99895, 0.10394999999999999, 0.10394999999999999}, 
-                                    {0.99896, 0.10295999999999994, 0.10295999999999994}, 
-                                    {0.99897, 0.10197, 0.10197}, {0.99898, 0.10097999999999996
-                                                                  0.10097999999999996}, {0.99899, 0.09999000000000002, 0.09999000000000002}, 
-                                    {0.999, 0.09899999999999998, 0.09899999999999998}, 
-                                    {0.99901, 0.09800999999999993, 0.09800999999999993}, 
-                                    {0.99902, 0.09702, 0.09702}, {0.99903, 0.09602999999999995
-                                                                  0.09602999999999995}, {0.99904, 0.09504000000000001, 0.09504000000000001}, 
-                                    {0.99905, 0.09404999999999997, 0.09404999999999997}, 
-                                    {0.99906, 0.09305999999999992, 0.09305999999999992}, 
-                                    {0.99907, 0.09206999999999999, 0.09206999999999999}, 
-                                    {0.99908, 0.09107999999999994, 0.09107999999999994}, 
-                                    {0.99909, 0.09009, 0.09009}, {0.9991, 0.08909999999999996
-                                                                  0.08909999999999996}, {0.99911, 0.08811000000000002, 0.08811000000000002}, 
-                                    {0.99912, 0.08711999999999998, 0.08711999999999998}, 
-                                    {0.99913, 0.08612999999999993, 0.08612999999999993}, 
-                                    {0.99914, 0.08514, 0.08514}, {0.99915, 0.08414999999999995
-                                                                  0.08414999999999995}, {0.99916, 0.08316000000000001, 0.08316000000000001}, 
-                                    {0.99917, 0.08216999999999997, 0.08216999999999997}, 
-                                    {0.99918, 0.08117999999999992, 0.08117999999999992}, 
-                                    {0.99919, 0.08018999999999998, 0.08018999999999998}, 
-                                    {0.9992, 0.07919999999999994, 0.07919999999999994}, 
-                                    {0.99921, 0.07821, 0.07821}, {0.99922, 0.07721999999999996
-                                                                  0.07721999999999996}, {0.99923, 0.07622999999999991, 0.07622999999999991}, 
-                                    {0.99924, 0.07523999999999997, 0.07523999999999997}, 
-                                    {0.99925, 0.07424999999999993, 0.07424999999999993}, 
-                                    {0.99926, 0.07325999999999999, 0.07325999999999999}, 
-                                    {0.99927, 0.07226999999999995, 0.07226999999999995}, 
-                                    {0.99928, 0.0712799999999999, 0.0712799999999999}, 
-                                    {0.99929, 0.07028999999999996, 0.07028999999999996}, 
-                                    {0.9993, 0.06929999999999992, 0.06929999999999992}, 
-                                    {0.99931, 0.06830999999999998, 0.06830999999999998}, 
-                                    {0.99932, 0.06731999999999994, 0.06731999999999994}, 
-                                    {0.99933, 0.06633, 0.06633}, {0.99934, 0.06533999999999995
-                                                                  0.06533999999999995}, {0.99935, 0.06434999999999991, 0.06434999999999991}, 
-                                    {0.99936, 0.06335999999999997, 0.06335999999999997}, 
-                                    {0.99937, 0.062369999999999925, 0.062369999999999925}, 
-                                    {0.99938, 0.06137999999999999, 0.06137999999999999}, 
-                                    {0.99939, 0.060389999999999944, 0.060389999999999944}, 
-                                    {0.9994, 0.0593999999999999, 0.0593999999999999}, 
-                                    {0.99941, 0.05840999999999996, 0.05840999999999996}, 
-                                    {0.99942, 0.057419999999999916, 0.057419999999999916}, 
-                                    {0.99943, 0.05642999999999998, 0.05642999999999998}, 
-                                    {0.99944, 0.055439999999999934, 0.055439999999999934}, 
-                                    {0.99945, 0.05444999999999989, 0.05444999999999989}, 
-                                    {0.99946, 0.05345999999999995, 0.05345999999999995}, 
-                                    {0.99947, 0.052469999999999906, 0.052469999999999906}, 
-                                    {0.99948, 0.05147999999999997, 0.05147999999999997}, 
-                                    {0.99949, 0.050489999999999924, 0.050489999999999924}, 
-                                    {0.9995, 0.04949999999999999, 0.04949999999999999}, 
-                                    {0.99951, 0.04850999999999994, 0.04850999999999994}, 
-                                    {0.99952, 0.047519999999999896, 0.047519999999999896}, 
-                                    {0.99953, 0.04652999999999996, 0.04652999999999996}, 
-                                    {0.99954, 0.045539999999999914, 0.045539999999999914}, 
-                                    {0.99955, 0.04454999999999998, 0.04454999999999998}, 
-                                    {0.99956, 0.04355999999999993, 0.04355999999999993}, 
-                                    {0.99957, 0.042569999999999886, 0.042569999999999886}, 
-                                    {0.99958, 0.04157999999999995, 0.04157999999999995}, 
-                                    {0.99959, 0.040589999999999904, 0.040589999999999904}, 
-                                    {0.9996, 0.03960000000000008, 0.03960000000000008}, 
-                                    {0.99961, 0.03861000000000003, 0.03861000000000003}, 
-                                    {0.99962, 0.03761999999999999, 0.03761999999999999}, 
-                                    {0.99963, 0.03663000000000005, 0.03663000000000005}, 
-                                    {0.99964, 0.035640000000000005, 0.035640000000000005}, 
-                                    {0.99965, 0.03465000000000007, 0.03465000000000007}, 
-                                    {0.99966, 0.03366000000000002, 0.03366000000000002}, 
-                                    {0.99967, 0.03266999999999998, 0.03266999999999998}, 
-                                    {0.99968, 0.03168000000000004, 0.03168000000000004}, 
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-                                    {0.9997, 0.02970000000000006, 0.02970000000000006}, 
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-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, 
-                            {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99
-                                                                                         0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99
-                                                                                                                                                             0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}, {0.99, 0.99, 0.99}};
+float palette_white_to_red[1001][3]={{1.f, 1.f, 1.f}, {0.99001f, 0.98901f, 0.98901f}, 
+                                    {0.99002f, 0.98802f, 0.98802f}, {0.99003f, 0.98703f, 0.98703f}, 
+                                    {0.99004f, 0.98604f, 0.98604f}, {0.99005f, 0.98505f, 0.98505f}, 
+                                    {0.9900599999999999f, 0.98406f, 0.98406f}, {0.99007f, 0.98307f, 0.98307f}, 
+                                    {0.99008f, 0.98208f, 0.98208f}, {0.99009f, 0.98109f, 0.98109f}, 
+                                    {0.9901f, 0.9801f, 0.9801f}, {0.99011f, 0.97911f, 0.97911f}, 
+                                    {0.99012f, 0.97812f, 0.97812f}, {0.99013f, 0.9771299999999999f
+                                                                  0.9771299999999999f}, {0.99014f, 0.97614f, 0.97614f}, 
+                                    {0.99015f, 0.97515f, 0.97515f}, {0.99016f, 0.97416f, 0.97416f}, 
+                                    {0.99017f, 0.97317f, 0.97317f}, {0.99018f, 0.97218f, 0.97218f}, 
+                                    {0.99019f, 0.97119f, 0.97119f}, {0.9902f, 0.9702f, 0.9702f}, 
+                                    {0.99021f, 0.96921f, 0.96921f}, {0.99022f, 0.96822f, 0.96822f}, 
+                                    {0.9902299999999999f, 0.96723f, 0.96723f}, {0.99024f, 0.96624f, 0.96624f}, 
+                                    {0.99025f, 0.9652499999999999f, 0.9652499999999999f}, 
+                                    {0.99026f, 0.96426f, 0.96426f}, {0.99027f, 0.96327f, 0.96327f}, 
+                                    {0.9902799999999999f, 0.96228f, 0.96228f}, {0.99029f, 0.96129f, 0.96129f}, 
+                                    {0.9903f, 0.9603f, 0.9603f}, {0.99031f, 0.95931f, 0.95931f}, 
+                                    {0.99032f, 0.95832f, 0.95832f}, {0.99033f, 0.95733f, 0.95733f}, 
+                                    {0.99034f, 0.95634f, 0.95634f}, {0.99035f, 0.95535f, 0.95535f}, 
+                                    {0.99036f, 0.95436f, 0.95436f}, {0.99037f, 0.95337f, 0.95337f}, 
+                                    {0.99038f, 0.95238f, 0.95238f}, {0.99039f, 0.95139f, 0.95139f}, 
+                                    {0.9904f, 0.9504f, 0.9504f}, {0.99041f, 0.94941f, 0.94941f}, 
+                                    {0.99042f, 0.94842f, 0.94842f}, {0.99043f, 0.94743f, 0.94743f}, 
+                                    {0.99044f, 0.94644f, 0.94644f}, {0.9904499999999999f, 0.94545f, 0.94545f}, 
+                                    {0.99046f, 0.94446f, 0.94446f}, {0.99047f, 0.94347f, 0.94347f}, 
+                                    {0.99048f, 0.94248f, 0.94248f}, {0.99049f, 0.9414899999999999f
+                                                                  0.9414899999999999f}, {0.9904999999999999f, 0.9405f, 0.9405f}, 
+                                    {0.99051f, 0.93951f, 0.93951f}, {0.99052f, 0.93852f, 0.93852f}, 
+                                    {0.99053f, 0.93753f, 0.93753f}, {0.99054f, 0.93654f, 0.93654f}, 
+                                    {0.99055f, 0.93555f, 0.93555f}, {0.99056f, 0.93456f, 0.93456f}, 
+                                    {0.99057f, 0.93357f, 0.93357f}, {0.99058f, 0.93258f, 0.93258f}, 
+                                    {0.99059f, 0.93159f, 0.93159f}, {0.9906f, 0.9306f, 0.9306f}, 
+                                    {0.99061f, 0.92961f, 0.92961f}, {0.99062f, 0.92862f, 0.92862f}, 
+                                    {0.99063f, 0.92763f, 0.92763f}, {0.99064f, 0.92664f, 0.92664f}, 
+                                    {0.99065f, 0.92565f, 0.92565f}, {0.99066f, 0.92466f, 0.92466f}, 
+                                    {0.9906699999999999f, 0.92367f, 0.92367f}, {0.99068f, 0.92268f, 0.92268f}, 
+                                    {0.99069f, 0.92169f, 0.92169f}, {0.9907f, 0.9207f, 0.9207f}, 
+                                    {0.99071f, 0.91971f, 0.91971f}, {0.99072f, 0.91872f, 0.91872f}, 
+                                    {0.99073f, 0.9177299999999999f, 0.9177299999999999f}, 
+                                    {0.99074f, 0.91674f, 0.91674f}, {0.99075f, 0.91575f, 0.91575f}, 
+                                    {0.99076f, 0.91476f, 0.91476f}, {0.99077f, 0.91377f, 0.91377f}, 
+                                    {0.99078f, 0.91278f, 0.91278f}, {0.99079f, 0.91179f, 0.91179f}, 
+                                    {0.9908f, 0.9107999999999999f, 0.9107999999999999f}, 
+                                    {0.99081f, 0.90981f, 0.90981f}, {0.99082f, 0.90882f, 0.90882f}, 
+                                    {0.99083f, 0.90783f, 0.90783f}, {0.9908399999999999f, 0.90684f, 0.90684f}, 
+                                    {0.99085f, 0.90585f, 0.90585f}, {0.99086f, 0.90486f, 0.90486f}, 
+                                    {0.99087f, 0.90387f, 0.90387f}, {0.99088f, 0.90288f, 0.90288f}, 
+                                    {0.9908899999999999f, 0.90189f, 0.90189f}, {0.9909f, 0.9009f, 0.9009f}, 
+                                    {0.99091f, 0.89991f, 0.89991f}, {0.99092f, 0.8989199999999999f
+                                                                  0.8989199999999999f}, {0.99093f, 0.89793f, 0.89793f}, 
+                                    {0.99094f, 0.89694f, 0.89694f}, {0.99095f, 0.89595f, 0.89595f}, 
+                                    {0.99096f, 0.89496f, 0.89496f}, {0.99097f, 0.8939699999999999f
+                                                                  0.8939699999999999f}, {0.99098f, 0.89298f, 0.89298f}, 
+                                    {0.99099f, 0.89199f, 0.89199f}, {0.991f, 0.891f, 0.891f}, 
+                                    {0.99101f, 0.89001f, 0.89001f}, {0.99102f, 0.88902f, 0.88902f}, 
+                                    {0.99103f, 0.88803f, 0.88803f}, {0.99104f, 0.8870399999999999f
+                                                                  0.8870399999999999f}, {0.99105f, 0.88605f, 0.88605f}, 
+                                    {0.9910599999999999f, 0.88506f, 0.88506f}, {0.99107f, 0.88407f, 0.88407f}, 
+                                    {0.99108f, 0.88308f, 0.88308f}, {0.99109f, 0.88209f, 0.88209f}, 
+                                    {0.9911f, 0.8811f, 0.8811f}, {0.99111f, 0.88011f, 0.88011f}, 
+                                    {0.99112f, 0.87912f, 0.87912f}, {0.99113f, 0.87813f, 0.87813f}, 
+                                    {0.99114f, 0.87714f, 0.87714f}, {0.99115f, 0.87615f, 0.87615f}, 
+                                    {0.99116f, 0.8751599999999999f, 0.8751599999999999f}, 
+                                    {0.99117f, 0.87417f, 0.87417f}, {0.99118f, 0.87318f, 0.87318f}, 
+                                    {0.99119f, 0.87219f, 0.87219f}, {0.9912f, 0.8712f, 0.8712f}, 
+                                    {0.99121f, 0.87021f, 0.87021f}, {0.99122f, 0.86922f, 0.86922f}, 
+                                    {0.9912299999999999f, 0.86823f, 0.86823f}, {0.99124f, 0.86724f, 0.86724f}, 
+                                    {0.99125f, 0.86625f, 0.86625f}, {0.99126f, 0.86526f, 0.86526f}, 
+                                    {0.99127f, 0.86427f, 0.86427f}, {0.9912799999999999f, 0.86328f, 0.86328f}, 
+                                    {0.99129f, 0.86229f, 0.86229f}, {0.9913f, 0.8613f, 0.8613f}, 
+                                    {0.99131f, 0.86031f, 0.86031f}, {0.99132f, 0.85932f, 0.85932f}, 
+                                    {0.99133f, 0.85833f, 0.85833f}, {0.99134f, 0.85734f, 0.85734f}, 
+                                    {0.99135f, 0.85635f, 0.85635f}, {0.99136f, 0.85536f, 0.85536f}, 
+                                    {0.99137f, 0.85437f, 0.85437f}, {0.99138f, 0.85338f, 0.85338f}, 
+                                    {0.99139f, 0.85239f, 0.85239f}, {0.9914f, 0.8513999999999999f
+                                                                  0.8513999999999999f}, {0.99141f, 0.85041f, 0.85041f}, 
+                                    {0.99142f, 0.84942f, 0.84942f}, {0.99143f, 0.84843f, 0.84843f}, 
+                                    {0.99144f, 0.84744f, 0.84744f}, {0.9914499999999999f, 0.84645f, 0.84645f}, 
+                                    {0.99146f, 0.84546f, 0.84546f}, {0.99147f, 0.84447f, 0.84447f}, 
+                                    {0.99148f, 0.84348f, 0.84348f}, {0.99149f, 0.84249f, 0.84249f}, 
+                                    {0.9915f, 0.8415f, 0.8415f}, {0.99151f, 0.84051f, 0.84051f}, 
+                                    {0.99152f, 0.83952f, 0.83952f}, {0.99153f, 0.83853f, 0.83853f}, 
+                                    {0.99154f, 0.83754f, 0.83754f}, {0.99155f, 0.83655f, 0.83655f}, 
+                                    {0.99156f, 0.83556f, 0.83556f}, {0.99157f, 0.83457f, 0.83457f}, 
+                                    {0.99158f, 0.83358f, 0.83358f}, {0.99159f, 0.8325899999999999f
+                                                                  0.8325899999999999f}, {0.9916f, 0.8316f, 0.8316f}, {0.99161f, 0.83061f, 0.83061f}, 
+                                    {0.99162f, 0.82962f, 0.82962f}, {0.99163f, 0.82863f, 0.82863f}, 
+                                    {0.99164f, 0.8276399999999999f, 0.8276399999999999f}, 
+                                    {0.99165f, 0.82665f, 0.82665f}, {0.99166f, 0.82566f, 0.82566f}, 
+                                    {0.9916699999999999f, 0.82467f, 0.82467f}, {0.99168f, 0.82368f, 0.82368f}, 
+                                    {0.99169f, 0.8226899999999999f, 0.8226899999999999f}, {0.9917f, 0.8217f, 0.8217f}, 
+                                    {0.99171f, 0.8207099999999999f, 0.8207099999999999f}, 
+                                    {0.99172f, 0.81972f, 0.81972f}, {0.99173f, 0.81873f, 0.81873f}, 
+                                    {0.99174f, 0.8177399999999999f, 0.8177399999999999f}, 
+                                    {0.99175f, 0.81675f, 0.81675f}, {0.99176f, 0.81576f, 0.81576f}, 
+                                    {0.99177f, 0.81477f, 0.81477f}, {0.99178f, 0.81378f, 0.81378f}, 
+                                    {0.99179f, 0.81279f, 0.81279f}, {0.9918f, 0.8118f, 0.8118f}, 
+                                    {0.99181f, 0.81081f, 0.81081f}, {0.99182f, 0.80982f, 0.80982f}, 
+                                    {0.99183f, 0.8088299999999999f, 0.8088299999999999f}, 
+                                    {0.9918399999999999f, 0.80784f, 0.80784f}, {0.99185f, 0.80685f, 0.80685f}, 
+                                    {0.99186f, 0.80586f, 0.80586f}, {0.99187f, 0.80487f, 0.80487f}, 
+                                    {0.99188f, 0.8038799999999999f, 0.8038799999999999f}, 
+                                    {0.9918899999999999f, 0.80289f, 0.80289f}, {0.9919f, 0.8019000000000001f
+                                                                             0.8019000000000001f}, {0.99191f, 0.80091f, 0.80091f}, 
+                                    {0.99192f, 0.79992f, 0.79992f}, {0.99193f, 0.79893f, 0.79893f}, 
+                                    {0.99194f, 0.79794f, 0.79794f}, {0.99195f, 0.79695f, 0.79695f}, 
+                                    {0.99196f, 0.79596f, 0.79596f}, {0.99197f, 0.79497f, 0.79497f}, 
+                                    {0.99198f, 0.79398f, 0.79398f}, {0.99199f, 0.79299f, 0.79299f}, 
+                                    {0.992f, 0.792f, 0.792f}, {0.99201f, 0.79101f, 0.79101f}, 
+                                    {0.99202f, 0.79002f, 0.79002f}, {0.99203f, 0.78903f, 0.78903f}, 
+                                    {0.99204f, 0.78804f, 0.78804f}, {0.99205f, 0.78705f, 0.78705f}, 
+                                    {0.9920599999999999f, 0.78606f, 0.78606f}, {0.99207f, 0.7850699999999999f
+                                                                             0.7850699999999999f}, {0.99208f, 0.78408f, 0.78408f}, 
+                                    {0.99209f, 0.7830900000000001f, 0.7830900000000001f}, {0.9921f, 0.7821f, 0.7821f}, 
+                                    {0.99211f, 0.78111f, 0.78111f}, {0.99212f, 0.78012f, 0.78012f}, 
+                                    {0.99213f, 0.77913f, 0.77913f}, {0.99214f, 0.77814f, 0.77814f}, 
+                                    {0.99215f, 0.77715f, 0.77715f}, {0.99216f, 0.77616f, 0.77616f}, 
+                                    {0.99217f, 0.77517f, 0.77517f}, {0.99218f, 0.77418f, 0.77418f}, 
+                                    {0.99219f, 0.77319f, 0.77319f}, {0.9922f, 0.7722f, 0.7722f}, 
+                                    {0.99221f, 0.77121f, 0.77121f}, {0.99222f, 0.77022f, 0.77022f}, 
+                                    {0.99223f, 0.76923f, 0.76923f}, {0.99224f, 0.76824f, 0.76824f}, 
+                                    {0.99225f, 0.76725f, 0.76725f}, {0.99226f, 0.7662599999999999f
+                                                                  0.7662599999999999f}, {0.99227f, 0.76527f, 0.76527f}, 
+                                    {0.9922799999999999f, 0.76428f, 0.76428f}, {0.99229f, 0.76329f, 0.76329f}, 
+                                    {0.9923f, 0.7623f, 0.7623f}, {0.99231f, 0.7613099999999999f, 0.7613099999999999f}, 
+                                    {0.99232f, 0.76032f, 0.76032f}, {0.99233f, 0.75933f, 0.75933f}, 
+                                    {0.99234f, 0.75834f, 0.75834f}, {0.99235f, 0.75735f, 0.75735f}, 
+                                    {0.99236f, 0.7563599999999999f, 0.7563599999999999f}, 
+                                    {0.99237f, 0.75537f, 0.75537f}, {0.99238f, 0.7543799999999999f
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+                                    {0.99241f, 0.75141f, 0.75141f}, {0.99242f, 0.75042f, 0.75042f}, 
+                                    {0.99243f, 0.74943f, 0.74943f}, {0.99244f, 0.74844f, 0.74844f}, 
+                                    {0.9924499999999999f, 0.74745f, 0.74745f}, {0.99246f, 0.74646f, 0.74646f}, 
+                                    {0.99247f, 0.74547f, 0.74547f}, {0.99248f, 0.74448f, 0.74448f}, 
+                                    {0.99249f, 0.74349f, 0.74349f}, {0.9924999999999999f, 0.7424999999999999f
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+                                    {0.99252f, 0.74052f, 0.74052f}, {0.99253f, 0.73953f, 0.73953f}, 
+                                    {0.99254f, 0.73854f, 0.73854f}, {0.99255f, 0.7375499999999999f
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+                                    {0.99257f, 0.7355700000000001f, 0.7355700000000001f}, 
+                                    {0.99258f, 0.73458f, 0.73458f}, {0.99259f, 0.73359f, 0.73359f}, 
+                                    {0.9926f, 0.7325999999999999f, 0.7325999999999999f}, 
+                                    {0.99261f, 0.73161f, 0.73161f}, {0.99262f, 0.73062f, 0.73062f}, 
+                                    {0.99263f, 0.72963f, 0.72963f}, {0.99264f, 0.72864f, 0.72864f}, 
+                                    {0.99265f, 0.7276499999999999f, 0.7276499999999999f}, 
+                                    {0.99266f, 0.72666f, 0.72666f}, {0.9926699999999999f, 0.72567f, 0.72567f}, 
+                                    {0.99268f, 0.72468f, 0.72468f}, {0.99269f, 0.7236899999999999f
+                                                                  0.7236899999999999f}, {0.9927f, 0.7226999999999999f, 0.7226999999999999f}, 
+                                    {0.99271f, 0.72171f, 0.72171f}, {0.99272f, 0.72072f, 0.72072f}, 
+                                    {0.99273f, 0.71973f, 0.71973f}, {0.99274f, 0.7187399999999999f
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+                                    {0.99276f, 0.71676f, 0.71676f}, {0.99277f, 0.71577f, 0.71577f}, 
+                                    {0.99278f, 0.71478f, 0.71478f}, {0.99279f, 0.7137899999999999f
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+                                    {0.99281f, 0.7118099999999999f, 0.7118099999999999f}, 
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+                                    {0.99284f, 0.7088399999999999f, 0.7088399999999999f}, 
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+                                    {0.99287f, 0.70587f, 0.70587f}, {0.99288f, 0.70488f, 0.70488f}, 
+                                    {0.9928899999999999f, 0.70389f, 0.70389f}, {0.9929f, 0.7029000000000001f
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+                                    {0.99292f, 0.70092f, 0.70092f}, {0.99293f, 0.6999299999999999f
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+                                    {0.99295f, 0.6979500000000001f, 0.6979500000000001f}, 
+                                    {0.99296f, 0.69696f, 0.69696f}, {0.99297f, 0.69597f, 0.69597f}, 
+                                    {0.99298f, 0.6949799999999999f, 0.6949799999999999f}, 
+                                    {0.99299f, 0.69399f, 0.69399f}, {0.993f, 0.6930000000000001f
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+                                    {0.99302f, 0.69102f, 0.69102f}, {0.99303f, 0.6900299999999999f
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+                                    {0.99305f, 0.68805f, 0.68805f}, {0.9930599999999999f, 0.68706f, 0.68706f}, 
+                                    {0.99307f, 0.68607f, 0.68607f}, {0.99308f, 0.68508f, 0.68508f}, 
+                                    {0.99309f, 0.68409f, 0.68409f}, {0.9931f, 0.6831f, 0.6831f}, 
+                                    {0.99311f, 0.68211f, 0.68211f}, {0.99312f, 0.68112f, 0.68112f}, 
+                                    {0.99313f, 0.68013f, 0.68013f}, {0.99314f, 0.67914f, 0.67914f}, 
+                                    {0.99315f, 0.67815f, 0.67815f}, {0.99316f, 0.67716f, 0.67716f}, 
+                                    {0.99317f, 0.6761699999999999f, 0.6761699999999999f}, 
+                                    {0.99318f, 0.67518f, 0.67518f}, {0.99319f, 0.6741900000000001f
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+                                    {0.99329f, 0.66429f, 0.66429f}, {0.9933f, 0.6633f, 0.6633f}, 
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+                                    {0.99334f, 0.65934f, 0.65934f}, {0.99335f, 0.65835f, 0.65835f}, 
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+                                    {0.99342f, 0.6514199999999999f, 0.6514199999999999f}, 
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+                                    {0.9934499999999999f, 0.64845f, 0.64845f}, {0.99346f, 0.6474599999999999f
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+                                    {0.99348f, 0.6454799999999999f, 0.6454799999999999f}, 
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+                                    {0.99357f, 0.6365700000000001f, 0.6365700000000001f}, 
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+                                    {0.99386f, 0.6078600000000001f, 0.6078600000000001f}, 
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+                                    {0.99415f, 0.5791499999999999f, 0.5791499999999999f}, 
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+                                    {0.99422f, 0.57222f, 0.57222f}, {0.99423f, 0.57123f, 0.57123f}, 
+                                    {0.99424f, 0.5702400000000001f, 0.5702400000000001f}, 
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+                                    {0.99432f, 0.5623199999999999f, 0.5623199999999999f}, 
+                                    {0.99433f, 0.56133f, 0.56133f}, {0.99434f, 0.5603400000000001f
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+                                    {0.99436f, 0.55836f, 0.55836f}, {0.99437f, 0.5573699999999999f
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+                                    {0.99439f, 0.55539f, 0.55539f}, {0.9944f, 0.5544f, 0.5544f}, 
+                                    {0.99441f, 0.55341f, 0.55341f}, {0.99442f, 0.5524199999999999f
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+                                    {0.99444f, 0.55044f, 0.55044f}, {0.99445f, 0.54945f, 0.54945f}, 
+                                    {0.99446f, 0.54846f, 0.54846f}, {0.99447f, 0.54747f, 0.54747f}, 
+                                    {0.99448f, 0.54648f, 0.54648f}, {0.99449f, 0.54549f, 0.54549f}, 
+                                    {0.9944999999999999f, 0.5445f, 0.5445f}, {0.99451f, 0.5435099999999999f
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+                                    {0.99453f, 0.54153f, 0.54153f}, {0.99454f, 0.54054f, 0.54054f}, 
+                                    {0.99455f, 0.53955f, 0.53955f}, {0.99456f, 0.5385599999999999f
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+                                    {0.99458f, 0.5365800000000001f, 0.5365800000000001f}, 
+                                    {0.99459f, 0.53559f, 0.53559f}, {0.9946f, 0.5346f, 0.5346f}, 
+                                    {0.99461f, 0.5336099999999999f, 0.5336099999999999f}, 
+                                    {0.99462f, 0.53262f, 0.53262f}, {0.99463f, 0.53163f, 0.53163f}, 
+                                    {0.99464f, 0.53064f, 0.53064f}, {0.99465f, 0.52965f, 0.52965f}, 
+                                    {0.99466f, 0.5286599999999999f, 0.5286599999999999f}, 
+                                    {0.9946699999999999f, 0.52767f, 0.52767f}, {0.99468f, 0.52668f, 0.52668f}, 
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+                                    {0.99472f, 0.52272f, 0.52272f}, {0.99473f, 0.52173f, 0.52173f}, 
+                                    {0.99474f, 0.52074f, 0.52074f}, {0.99475f, 0.5197499999999999f
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+                                    {0.99477f, 0.51777f, 0.51777f}, {0.99478f, 0.51678f, 0.51678f}, 
+                                    {0.99479f, 0.51579f, 0.51579f}, {0.9948f, 0.5148f, 0.5148f}, 
+                                    {0.99481f, 0.51381f, 0.51381f}, {0.99482f, 0.51282f, 0.51282f}, 
+                                    {0.99483f, 0.51183f, 0.51183f}, {0.99484f, 0.51084f, 0.51084f}, 
+                                    {0.99485f, 0.50985f, 0.50985f}, {0.99486f, 0.5088600000000001f
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+                                    {0.99488f, 0.50688f, 0.50688f}, {0.9948899999999999f, 0.50589f, 0.50589f}, 
+                                    {0.9949f, 0.5049f, 0.5049f}, {0.99491f, 0.5039100000000001f, 0.5039100000000001f}, 
+                                    {0.99492f, 0.50292f, 0.50292f}, {0.99493f, 0.50193f, 0.50193f}, 
+                                    {0.99494f, 0.5009399999999999f, 0.5009399999999999f}, 
+                                    {0.99495f, 0.49995f, 0.49995f}, {0.99496f, 0.49896f, 0.49896f}, 
+                                    {0.99497f, 0.49797f, 0.49797f}, {0.99498f, 0.49698f, 0.49698f}, 
+                                    {0.99499f, 0.49599f, 0.49599f}, {0.995f, 0.495f, 0.495f}, 
+                                    {0.99501f, 0.49401f, 0.49401f}, {0.99502f, 0.49302f, 0.49302f}, 
+                                    {0.99503f, 0.49202999999999997f, 0.49202999999999997f}, 
+                                    {0.99504f, 0.49104f, 0.49104f}, {0.99505f, 0.49005f, 0.49005f}, 
+                                    {0.99506f, 0.48905999999999994f, 0.48905999999999994f}, 
+                                    {0.99507f, 0.48807f, 0.48807f}, {0.99508f, 0.48707999999999996f
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+                                    {0.9951f, 0.4851f, 0.4851f}, {0.99511f, 0.48411000000000004f
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+                                                                                         0.2088899999999999f}, {0.9979f, 0.20789999999999997f, 0.20789999999999997f}, 
+                                    {0.99791f, 0.20690999999999993f, 0.20690999999999993f}, 
+                                    {0.99792f, 0.20592f, 0.20592f}, {0.99793f, 0.20492999999999995f
+                                                                  0.20492999999999995f}, {0.99794f, 0.20394f, 0.20394f}, 
+                                    {0.99795f, 0.20294999999999996f, 0.20294999999999996f}, 
+                                    {0.99796f, 0.20195999999999992f, 0.20195999999999992f}, 
+                                    {0.99797f, 0.20096999999999998f, 0.20096999999999998f}, 
+                                    {0.99798f, 0.19997999999999994f, 0.19997999999999994f}, 
+                                    {0.99799f, 0.19899f, 0.19899f}, {0.998f, 0.19799999999999995f
+                                                                  0.19799999999999995f}, {0.99801f, 0.1970099999999999f, 0.1970099999999999f}, 
+                                    {0.99802f, 0.19601999999999997f, 0.19601999999999997f}, 
+                                    {0.99803f, 0.19502999999999993f, 0.19502999999999993f}, 
+                                    {0.99804f, 0.19404f, 0.19404f}, {0.99805f, 0.19304999999999994f
+                                                                  0.19304999999999994f}, {0.99806f, 0.1920599999999999f, 0.1920599999999999f}, 
+                                    {0.99807f, 0.19106999999999996f, 0.19106999999999996f}, 
+                                    {0.99808f, 0.19007999999999992f, 0.19007999999999992f}, 
+                                    {0.99809f, 0.18908999999999998f, 0.18908999999999998f}, 
+                                    {0.9981f, 0.18809999999999993f, 0.18809999999999993f}, 
+                                    {0.99811f, 0.18711f, 0.18711f}, {0.99812f, 0.18611999999999995f
+                                                                  0.18611999999999995f}, {0.99813f, 0.1851299999999999f, 0.1851299999999999f}, 
+                                    {0.99814f, 0.18413999999999997f, 0.18413999999999997f}, 
+                                    {0.99815f, 0.18314999999999992f, 0.18314999999999992f}, 
+                                    {0.99816f, 0.18216f, 0.18216f}, {0.99817f, 0.18116999999999994f
+                                                                  0.18116999999999994f}, {0.99818f, 0.1801799999999999f, 0.1801799999999999f}, 
+                                    {0.99819f, 0.17918999999999996f, 0.17918999999999996f}, 
+                                    {0.9982f, 0.17819999999999991f, 0.17819999999999991f}, 
+                                    {0.99821f, 0.17720999999999998f, 0.17720999999999998f}, 
+                                    {0.99822f, 0.17621999999999993f, 0.17621999999999993f}, 
+                                    {0.99823f, 0.17522999999999989f, 0.17522999999999989f}, 
+                                    {0.99824f, 0.17423999999999995f, 0.17423999999999995f}, 
+                                    {0.99825f, 0.1732499999999999f, 0.1732499999999999f}, 
+                                    {0.99826f, 0.17225999999999997f, 0.17225999999999997f}, 
+                                    {0.99827f, 0.17126999999999992f, 0.17126999999999992f}, 
+                                    {0.99828f, 0.17027999999999988f, 0.17027999999999988f}, 
+                                    {0.99829f, 0.16928999999999994f, 0.16928999999999994f}, 
+                                    {0.9983f, 0.1682999999999999f, 0.1682999999999999f}, 
+                                    {0.99831f, 0.16730999999999996f, 0.16730999999999996f}, 
+                                    {0.99832f, 0.1663199999999999f, 0.1663199999999999f}, 
+                                    {0.99833f, 0.1653300000000001f, 0.1653300000000001f}, 
+                                    {0.99834f, 0.16434000000000004f, 0.16434000000000004f}, 
+                                    {0.99835f, 0.16335f, 0.16335f}, {0.99836f, 0.16236000000000006f
+                                                                  0.16236000000000006f}, {0.99837f, 0.16137f, 0.16137f}, 
+                                    {0.99838f, 0.16038000000000008f, 0.16038000000000008f}, 
+                                    {0.99839f, 0.15939000000000003f, 0.15939000000000003f}, 
+                                    {0.9984f, 0.15839999999999999f, 0.15839999999999999f}, 
+                                    {0.99841f, 0.15741000000000005f, 0.15741000000000005f}, 
+                                    {0.99842f, 0.15642f, 0.15642f}, {0.99843f, 0.15543000000000007f
+                                                                  0.15543000000000007f}, {0.99844f, 0.15444000000000002f, 0.15444000000000002f}, 
+                                    {0.99845f, 0.15344999999999998f, 0.15344999999999998f}, 
+                                    {0.99846f, 0.15246000000000004f, 0.15246000000000004f}, 
+                                    {0.99847f, 0.15147f, 0.15147f}, {0.99848f, 0.15048000000000006f
+                                                                  0.15048000000000006f}, {0.99849f, 0.14949f, 0.14949f}, 
+                                    {0.9984999999999999f, 0.14849999999999997f, 0.14849999999999997f}, 
+                                    {0.99851f, 0.14751000000000003f, 0.14751000000000003f}, 
+                                    {0.99852f, 0.14651999999999998f, 0.14651999999999998f}, 
+                                    {0.99853f, 0.14553000000000005f, 0.14553000000000005f}, 
+                                    {0.99854f, 0.14454f, 0.14454f}, {0.99855f, 0.14355000000000007f
+                                                                  0.14355000000000007f}, {0.99856f, 0.14256000000000002f, 0.14256000000000002f}, 
+                                    {0.99857f, 0.14156999999999997f, 0.14156999999999997f}, 
+                                    {0.99858f, 0.14058000000000004f, 0.14058000000000004f}, 
+                                    {0.99859f, 0.13959f, 0.13959f}, {0.9986f, 0.13860000000000006f
+                                                                  0.13860000000000006f}, {0.99861f, 0.13761f, 0.13761f}, 
+                                    {0.99862f, 0.13661999999999996f, 0.13661999999999996f}, 
+                                    {0.99863f, 0.13563000000000003f, 0.13563000000000003f}, 
+                                    {0.99864f, 0.13463999999999998f, 0.13463999999999998f}, 
+                                    {0.99865f, 0.13365000000000005f, 0.13365000000000005f}, 
+                                    {0.99866f, 0.13266f, 0.13266f}, {0.99867f, 0.13166999999999995f
+                                                                  0.13166999999999995f}, {0.99868f, 0.13068000000000002f, 0.13068000000000002f}, 
+                                    {0.99869f, 0.12968999999999997f, 0.12968999999999997f}, 
+                                    {0.9987f, 0.12870000000000004f, 0.12870000000000004f}, 
+                                    {0.99871f, 0.12771f, 0.12771f}, {0.99872f, 0.12672000000000005f
+                                                                  0.12672000000000005f}, {0.99873f, 0.12573f, 0.12573f}, 
+                                    {0.99874f, 0.12473999999999996f, 0.12473999999999996f}, 
+                                    {0.99875f, 0.12375000000000003f, 0.12375000000000003f}, 
+                                    {0.99876f, 0.12275999999999998f, 0.12275999999999998f}, 
+                                    {0.99877f, 0.12177000000000004f, 0.12177000000000004f}, 
+                                    {0.99878f, 0.12078f, 0.12078f}, {0.99879f, 0.11978999999999995f
+                                                                  0.11978999999999995f}, {0.9988f, 0.11880000000000002f, 0.11880000000000002f}, 
+                                    {0.99881f, 0.11780999999999997f, 0.11780999999999997f}, 
+                                    {0.99882f, 0.11682000000000003f, 0.11682000000000003f}, 
+                                    {0.99883f, 0.11582999999999999f, 0.11582999999999999f}, 
+                                    {0.99884f, 0.11483999999999994f, 0.11483999999999994f}, 
+                                    {0.99885f, 0.11385f, 0.11385f}, {0.99886f, 0.11285999999999996f
+                                                                  0.11285999999999996f}, {0.99887f, 0.11187000000000002f, 0.11187000000000002f}, 
+                                    {0.99888f, 0.11087999999999998f, 0.11087999999999998f}, 
+                                    {0.99889f, 0.10988999999999993f, 0.10988999999999993f}, 
+                                    {0.9989f, 0.1089f, 0.1089f}, {0.99891f, 0.10790999999999995f
+                                                               0.10790999999999995f}, {0.99892f, 0.10692000000000002f, 0.10692000000000002f}, 
+                                    {0.99893f, 0.10592999999999997f, 0.10592999999999997f}, 
+                                    {0.99894f, 0.10494000000000003f, 0.10494000000000003f}, 
+                                    {0.99895f, 0.10394999999999999f, 0.10394999999999999f}, 
+                                    {0.99896f, 0.10295999999999994f, 0.10295999999999994f}, 
+                                    {0.99897f, 0.10197f, 0.10197f}, {0.99898f, 0.10097999999999996f
+                                                                  0.10097999999999996f}, {0.99899f, 0.09999000000000002f, 0.09999000000000002f}, 
+                                    {0.999f, 0.09899999999999998f, 0.09899999999999998f}, 
+                                    {0.99901f, 0.09800999999999993f, 0.09800999999999993f}, 
+                                    {0.99902f, 0.09702f, 0.09702f}, {0.99903f, 0.09602999999999995f
+                                                                  0.09602999999999995f}, {0.99904f, 0.09504000000000001f, 0.09504000000000001f}, 
+                                    {0.99905f, 0.09404999999999997f, 0.09404999999999997f}, 
+                                    {0.99906f, 0.09305999999999992f, 0.09305999999999992f}, 
+                                    {0.99907f, 0.09206999999999999f, 0.09206999999999999f}, 
+                                    {0.99908f, 0.09107999999999994f, 0.09107999999999994f}, 
+                                    {0.99909f, 0.09009f, 0.09009f}, {0.9991f, 0.08909999999999996f
+                                                                  0.08909999999999996f}, {0.99911f, 0.08811000000000002f, 0.08811000000000002f}, 
+                                    {0.99912f, 0.08711999999999998f, 0.08711999999999998f}, 
+                                    {0.99913f, 0.08612999999999993f, 0.08612999999999993f}, 
+                                    {0.99914f, 0.08514f, 0.08514f}, {0.99915f, 0.08414999999999995f
+                                                                  0.08414999999999995f}, {0.99916f, 0.08316000000000001f, 0.08316000000000001f}, 
+                                    {0.99917f, 0.08216999999999997f, 0.08216999999999997f}, 
+                                    {0.99918f, 0.08117999999999992f, 0.08117999999999992f}, 
+                                    {0.99919f, 0.08018999999999998f, 0.08018999999999998f}, 
+                                    {0.9992f, 0.07919999999999994f, 0.07919999999999994f}, 
+                                    {0.99921f, 0.07821f, 0.07821f}, {0.99922f, 0.07721999999999996f
+                                                                  0.07721999999999996f}, {0.99923f, 0.07622999999999991f, 0.07622999999999991f}, 
+                                    {0.99924f, 0.07523999999999997f, 0.07523999999999997f}, 
+                                    {0.99925f, 0.07424999999999993f, 0.07424999999999993f}, 
+                                    {0.99926f, 0.07325999999999999f, 0.07325999999999999f}, 
+                                    {0.99927f, 0.07226999999999995f, 0.07226999999999995f}, 
+                                    {0.99928f, 0.0712799999999999f, 0.0712799999999999f}, 
+                                    {0.99929f, 0.07028999999999996f, 0.07028999999999996f}, 
+                                    {0.9993f, 0.06929999999999992f, 0.06929999999999992f}, 
+                                    {0.99931f, 0.06830999999999998f, 0.06830999999999998f}, 
+                                    {0.99932f, 0.06731999999999994f, 0.06731999999999994f}, 
+                                    {0.99933f, 0.06633f, 0.06633f}, {0.99934f, 0.06533999999999995f
+                                                                  0.06533999999999995f}, {0.99935f, 0.06434999999999991f, 0.06434999999999991f}, 
+                                    {0.99936f, 0.06335999999999997f, 0.06335999999999997f}, 
+                                    {0.99937f, 0.062369999999999925f, 0.062369999999999925f}, 
+                                    {0.99938f, 0.06137999999999999f, 0.06137999999999999f}, 
+                                    {0.99939f, 0.060389999999999944f, 0.060389999999999944f}, 
+                                    {0.9994f, 0.0593999999999999f, 0.0593999999999999f}, 
+                                    {0.99941f, 0.05840999999999996f, 0.05840999999999996f}, 
+                                    {0.99942f, 0.057419999999999916f, 0.057419999999999916f}, 
+                                    {0.99943f, 0.05642999999999998f, 0.05642999999999998f}, 
+                                    {0.99944f, 0.055439999999999934f, 0.055439999999999934f}, 
+                                    {0.99945f, 0.05444999999999989f, 0.05444999999999989f}, 
+                                    {0.99946f, 0.05345999999999995f, 0.05345999999999995f}, 
+                                    {0.99947f, 0.052469999999999906f, 0.052469999999999906f}, 
+                                    {0.99948f, 0.05147999999999997f, 0.05147999999999997f}, 
+                                    {0.99949f, 0.050489999999999924f, 0.050489999999999924f}, 
+                                    {0.9995f, 0.04949999999999999f, 0.04949999999999999f}, 
+                                    {0.99951f, 0.04850999999999994f, 0.04850999999999994f}, 
+                                    {0.99952f, 0.047519999999999896f, 0.047519999999999896f}, 
+                                    {0.99953f, 0.04652999999999996f, 0.04652999999999996f}, 
+                                    {0.99954f, 0.045539999999999914f, 0.045539999999999914f}, 
+                                    {0.99955f, 0.04454999999999998f, 0.04454999999999998f}, 
+                                    {0.99956f, 0.04355999999999993f, 0.04355999999999993f}, 
+                                    {0.99957f, 0.042569999999999886f, 0.042569999999999886f}, 
+                                    {0.99958f, 0.04157999999999995f, 0.04157999999999995f}, 
+                                    {0.99959f, 0.040589999999999904f, 0.040589999999999904f}, 
+                                    {0.9996f, 0.03960000000000008f, 0.03960000000000008f}, 
+                                    {0.99961f, 0.03861000000000003f, 0.03861000000000003f}, 
+                                    {0.99962f, 0.03761999999999999f, 0.03761999999999999f}, 
+                                    {0.99963f, 0.03663000000000005f, 0.03663000000000005f}, 
+                                    {0.99964f, 0.035640000000000005f, 0.035640000000000005f}, 
+                                    {0.99965f, 0.03465000000000007f, 0.03465000000000007f}, 
+                                    {0.99966f, 0.03366000000000002f, 0.03366000000000002f}, 
+                                    {0.99967f, 0.03266999999999998f, 0.03266999999999998f}, 
+                                    {0.99968f, 0.03168000000000004f, 0.03168000000000004f}, 
+                                    {0.99969f, 0.030689999999999995f, 0.030689999999999995f}, 
+                                    {0.9997f, 0.02970000000000006f, 0.02970000000000006f}, 
+                                    {0.99971f, 0.028710000000000013f, 0.028710000000000013f}, 
+                                    {0.99972f, 0.027720000000000078f, 0.027720000000000078f}, 
+                                    {0.99973f, 0.02673000000000003f, 0.02673000000000003f}, 
+                                    {0.99974f, 0.025739999999999985f, 0.025739999999999985f}, 
+                                    {0.99975f, 0.02475000000000005f, 0.02475000000000005f}, 
+                                    {0.99976f, 0.023760000000000003f, 0.023760000000000003f}, 
+                                    {0.99977f, 0.022770000000000068f, 0.022770000000000068f}, 
+                                    {0.99978f, 0.02178000000000002f, 0.02178000000000002f}, 
+                                    {0.99979f, 0.020789999999999975f, 0.020789999999999975f}, 
+                                    {0.9998f, 0.01980000000000004f, 0.01980000000000004f}, 
+                                    {0.99981f, 0.018809999999999993f, 0.018809999999999993f}, 
+                                    {0.99982f, 0.017820000000000058f, 0.017820000000000058f}, 
+                                    {0.99983f, 0.01683000000000001f, 0.01683000000000001f}, 
+                                    {0.99984f, 0.015839999999999965f, 0.015839999999999965f}, 
+                                    {0.99985f, 0.01485000000000003f, 0.01485000000000003f}, 
+                                    {0.99986f, 0.013859999999999983f, 0.013859999999999983f}, 
+                                    {0.99987f, 0.012870000000000048f, 0.012870000000000048f}, 
+                                    {0.99988f, 0.011880000000000002f, 0.011880000000000002f}, 
+                                    {0.99989f, 0.010889999999999955f, 0.010889999999999955f}, 
+                                    {0.9999f, 0.00990000000000002f, 0.00990000000000002f}, 
+                                    {0.99991f, 0.008909999999999973f, 0.008909999999999973f}, 
+                                    {0.99992f, 0.007920000000000038f, 0.007920000000000038f}, 
+                                    {0.99993f, 0.006929999999999992f, 0.006929999999999992f}, 
+                                    {0.99994f, 0.005940000000000056f, 0.005940000000000056f}, 
+                                    {0.99995f, 0.00495000000000001f, 0.00495000000000001f}, 
+                                    {0.99996f, 0.0039599999999999635f, 0.0039599999999999635f}, 
+                                    {0.99997f, 0.002970000000000028f, 0.002970000000000028f}, 
+                                    {0.99998f, 0.0019799999999999818f, 0.0019799999999999818f}, 
+                                    {0.99999f, 0.0009900000000000464f, 0.0009900000000000464f}, {1.f, 0.f, 0.f}};
+float palette_grey[1001][3]={{0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
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+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, 
+                            {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f
+                                                                                         0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f
+                                                                                                                                                             0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}, {0.99f, 0.99f, 0.99f}};
 
 /*11 class divergin */
-float palette_primary[1001][3]={{0.6196078431372549, 0.00392156862745098, 0.2588235294117647},
-                               {0.621764705882353, 0.006313725490196077, 0.2593333333333333},
-                               {0.623921568627451, 0.008705882352941174, 0.25984313725490193},
-                               {0.626078431372549, 0.011098039215686273, 0.26035294117647056},
-                               {0.6282352941176471, 0.01349019607843137, 0.2608627450980392},
-                               {0.6303921568627451, 0.01588235294117647, 0.2613725490196078},
-                               {0.6325490196078432, 0.018274509803921566, 0.26188235294117646},
-                               {0.6347058823529412, 0.020666666666666663, 0.2623921568627451},
-                               {0.6368627450980392, 0.02305882352941176, 0.2629019607843137},
-                               {0.6390196078431373, 0.025450980392156857, 0.26341176470588235},
-                               {0.6411764705882353, 0.027843137254901958, 0.263921568627451},
-                               {0.6433333333333333, 0.03023529411764705, 0.2644313725490196},
-                               {0.6454901960784314, 0.03262745098039215, 0.26494117647058824},
-                               {0.6476470588235295, 0.03501960784313725, 0.2654509803921568},
-                               {0.6498039215686274, 0.037411764705882346, 0.26596078431372544},
-                               {0.6519607843137255, 0.03980392156862744, 0.26647058823529407},
-                               {0.6541176470588236, 0.04219607843137254, 0.2669803921568627},
-                               {0.6562745098039215, 0.044588235294117644, 0.26749019607843133},
-                               {0.6584313725490196, 0.046980392156862734, 0.26799999999999996},
-                               {0.6605882352941177, 0.04937254901960783, 0.2685098039215686},
-                               {0.6627450980392157, 0.051764705882352935, 0.2690196078431372},
-                               {0.6649019607843137, 0.05415686274509803, 0.26952941176470585},
-                               {0.6670588235294118, 0.05654901960784312, 0.2700392156862745},
-                               {0.6692156862745098, 0.058941176470588226, 0.2705490196078431},
-                               {0.6713725490196079, 0.06133333333333332, 0.27105882352941174},
-                               {0.6735294117647059, 0.06372549019607843, 0.27156862745098037},
-                               {0.6756862745098039, 0.0661176470588235, 0.272078431372549},
-                               {0.677843137254902, 0.06850980392156861, 0.27258823529411763},
-                               {0.68, 0.07090196078431371, 0.27309803921568626},
-                               {0.682156862745098, 0.07329411764705882, 0.2736078431372549},
-                               {0.6843137254901961, 0.0756862745098039, 0.2741176470588235},
-                               {0.6864705882352942, 0.07807843137254901, 0.27462745098039215},
-                               {0.6886274509803921, 0.0804705882352941, 0.2751372549019608},
-                               {0.6907843137254902, 0.0828627450980392, 0.2756470588235294},
-                               {0.6929411764705883, 0.08525490196078431, 0.27615686274509804},
-                               {0.6950980392156862, 0.0876470588235294, 0.27666666666666667},
-                               {0.6972549019607843, 0.09003921568627449, 0.2771764705882353},
-                               {0.6994117647058824, 0.09243137254901959, 0.2776862745098039},
-                               {0.7015686274509804, 0.09482352941176468, 0.2781960784313725},
-                               {0.7037254901960784, 0.09721568627450979, 0.27870588235294114},
-                               {0.7058823529411765, 0.09960784313725489, 0.27921568627450977},
-                               {0.7080392156862745, 0.10199999999999998, 0.2797254901960784},
-                               {0.7101960784313726, 0.10439215686274508, 0.280235294117647},
-                               {0.7123529411764706, 0.10678431372549016, 0.28074509803921566},
-                               {0.7145098039215686, 0.10917647058823526, 0.2812549019607843},
-                               {0.7166666666666667, 0.11156862745098037, 0.2817647058823529},
-                               {0.7188235294117648, 0.11396078431372547, 0.28227450980392155},
-                               {0.7209803921568627, 0.11635294117647056, 0.2827843137254902},
-                               {0.7231372549019608, 0.11874509803921567, 0.2832941176470588},
-                               {0.7252941176470589, 0.12113725490196077, 0.28380392156862744},
-                               {0.7274509803921569, 0.12352941176470586, 0.28431372549019607},
-                               {0.7296078431372549, 0.12592156862745096, 0.2848235294117647},
-                               {0.731764705882353, 0.12831372549019604, 0.2853333333333333},
-                               {0.733921568627451, 0.13070588235294117, 0.28584313725490196},
-                               {0.736078431372549, 0.13309803921568625, 0.2863529411764706},
-                               {0.7382352941176471, 0.13549019607843132, 0.2868627450980392},
-                               {0.7403921568627451, 0.13788235294117646, 0.28737254901960785},
-                               {0.7425490196078431, 0.14027450980392153, 0.2878823529411765},
-                               {0.7447058823529412, 0.14266666666666666, 0.2883921568627451},
-                               {0.7468627450980392, 0.14505882352941174, 0.28890196078431374},
-                               {0.7490196078431373, 0.14745098039215682, 0.28941176470588237},
-                               {0.7511764705882353, 0.14984313725490195, 0.289921568627451},
-                               {0.7533333333333334, 0.15223529411764702, 0.29043137254901963},
-                               {0.7554901960784314, 0.1546274509803921, 0.29094117647058826},
-                               {0.7576470588235295, 0.15701960784313723, 0.2914509803921569},
-                               {0.7598039215686274, 0.1594117647058823, 0.29196078431372546},
-                               {0.7619607843137255, 0.16180392156862744, 0.2924705882352941},
-                               {0.7641176470588236, 0.16419607843137252, 0.2929803921568627},
-                               {0.7662745098039216, 0.16658823529411765, 0.29349019607843135},
-                               {0.7684313725490196, 0.16898039215686272, 0.294},
-                               {0.7705882352941177, 0.1713725490196078, 0.2945098039215686},
-                               {0.7727450980392156, 0.17376470588235288, 0.29501960784313724},
-                               {0.7749019607843137, 0.176156862745098, 0.2955294117647059},
-                               {0.7770588235294118, 0.17854901960784308, 0.2960392156862745},
-                               {0.7792156862745098, 0.18094117647058822, 0.29654901960784313},
-                               {0.7813725490196078, 0.1833333333333333, 0.29705882352941176},
-                               {0.7835294117647059, 0.18572549019607837, 0.2975686274509804},
-                               {0.7856862745098039, 0.1881176470588235, 0.298078431372549},
-                               {0.787843137254902, 0.19050980392156858, 0.29858823529411765},
-                               {0.79, 0.1929019607843137, 0.2990980392156863},
-                               {0.7921568627450981, 0.19529411764705878, 0.2996078431372549},
-                               {0.7943137254901961, 0.19768627450980386, 0.30011764705882354},
-                               {0.7964705882352942, 0.200078431372549, 0.3006274509803922},
-                               {0.7986274509803921, 0.20247058823529407, 0.3011372549019608},
-                               {0.8007843137254902, 0.2048627450980392, 0.30164705882352943},
-                               {0.8029411764705883, 0.20725490196078428, 0.30215686274509806},
-                               {0.8050980392156862, 0.20964705882352935, 0.30266666666666664},
-                               {0.8072549019607843, 0.21203921568627443, 0.30317647058823527},
-                               {0.8094117647058824, 0.21443137254901956, 0.3036862745098039},
-                               {0.8115686274509804, 0.21682352941176464, 0.30419607843137253},
-                               {0.8137254901960784, 0.21921568627450977, 0.30470588235294116},
-                               {0.8158823529411765, 0.22160784313725485, 0.3052156862745098},
-                               {0.8180392156862746, 0.22399999999999998, 0.3057254901960784},
-                               {0.8201960784313725, 0.22639215686274505, 0.30623529411764705},
-                               {0.8223529411764706, 0.22878431372549013, 0.3067450980392157},
-                               {0.8245098039215686, 0.23117647058823526, 0.3072549019607843},
-                               {0.8266666666666667, 0.23356862745098034, 0.30776470588235294},
-                               {0.8288235294117647, 0.23596078431372547, 0.30827450980392157},
-                               {0.8309803921568628, 0.23835294117647055, 0.3087843137254902},
-                               {0.8331372549019608, 0.24074509803921562, 0.30929411764705883},
-                               {0.8352941176470589, 0.24313725490196078, 0.30980392156862746},
-                               {0.8365098039215687, 0.24498039215686274, 0.30933333333333335},
-                               {0.8377254901960784, 0.2468235294117647, 0.30886274509803924},
-                               {0.8389411764705883, 0.24866666666666667, 0.3083921568627451},
-                               {0.840156862745098, 0.25050980392156863, 0.307921568627451},
-                               {0.8413725490196079, 0.25235294117647056, 0.30745098039215685},
-                               {0.8425882352941176, 0.25419607843137254, 0.30698039215686274},
-                               {0.8438039215686275, 0.2560392156862745, 0.3065098039215686},
-                               {0.8450196078431372, 0.25788235294117645, 0.3060392156862745},
-                               {0.8462352941176471, 0.25972549019607843, 0.3055686274509804},
-                               {0.8474509803921568, 0.26156862745098036, 0.3050980392156863},
-                               {0.8486666666666667, 0.26341176470588235, 0.3046274509803922},
-                               {0.8498823529411765, 0.26525490196078433, 0.30415686274509807},
-                               {0.8510980392156863, 0.26709803921568626, 0.30368627450980396},
-                               {0.8523137254901961, 0.26894117647058824, 0.3032156862745098},
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-                               {0.27027450980392154, 0.4372156862745098, 0.6956470588235294},
-                               {0.272, 0.4349803921568628, 0.6945882352941176},
-                               {0.27372549019607845, 0.4327450980392157, 0.6935294117647058},
-                               {0.2754509803921569, 0.4305098039215686, 0.6924705882352942},
-                               {0.2771764705882353, 0.42827450980392157, 0.6914117647058824},
-                               {0.27890196078431373, 0.4260392156862745, 0.6903529411764706},
-                               {0.28062745098039216, 0.42380392156862745, 0.6892941176470588},
-                               {0.2823529411764706, 0.4215686274509804, 0.6882352941176471},
-                               {0.284078431372549, 0.41933333333333334, 0.6871764705882353},
-                               {0.28580392156862744, 0.4170980392156863, 0.6861176470588235},
-                               {0.28752941176470587, 0.4148627450980392, 0.6850588235294117},
-                               {0.2892549019607843, 0.41262745098039216, 0.6839999999999999},
-                               {0.2909803921568628, 0.4103921568627451, 0.6829411764705883},
-                               {0.29270588235294115, 0.40815686274509805, 0.6818823529411765},
-                               {0.29443137254901963, 0.405921568627451, 0.6808235294117647},
-                               {0.29615686274509806, 0.40368627450980393, 0.6797647058823529},
-                               {0.2978823529411765, 0.4014509803921569, 0.6787058823529412},
-                               {0.2996078431372549, 0.3992156862745098, 0.6776470588235294},
-                               {0.30133333333333334, 0.39698039215686276, 0.6765882352941176},
-                               {0.30305882352941177, 0.3947450980392157, 0.6755294117647059},
-                               {0.3047843137254902, 0.39250980392156865, 0.6744705882352942},
-                               {0.3065098039215686, 0.3902745098039216, 0.6734117647058824},
-                               {0.30823529411764705, 0.38803921568627453, 0.6723529411764706},
-                               {0.3099607843137255, 0.3858039215686275, 0.6712941176470588},
-                               {0.3116862745098039, 0.3835686274509804, 0.670235294117647},
-                               {0.3134117647058824, 0.3813333333333333, 0.6691764705882353},
-                               {0.3151372549019608, 0.3790980392156863, 0.6681176470588235},
-                               {0.31686274509803924, 0.3768627450980392, 0.6670588235294117},
-                               {0.3185882352941176, 0.3746274509803922, 0.666},
-                               {0.3203137254901961, 0.3723921568627451, 0.6649411764705883},
-                               {0.32203921568627447, 0.37015686274509807, 0.6638823529411765},
-                               {0.32376470588235295, 0.367921568627451, 0.6628235294117647},
-                               {0.3254901960784314, 0.36568627450980395, 0.6617647058823529},
-                               {0.3272156862745098, 0.3634509803921569, 0.6607058823529411},
-                               {0.32894117647058824, 0.36121568627450984, 0.6596470588235294},
-                               {0.33066666666666666, 0.3589803921568628, 0.6585882352941176},
-                               {0.3323921568627451, 0.3567450980392157, 0.6575294117647059},
-                               {0.3341176470588235, 0.3545098039215686, 0.6564705882352941},
-                               {0.335843137254902, 0.3522745098039216, 0.6554117647058824},
-                               {0.3375686274509804, 0.3500392156862745, 0.6543529411764706},
-                               {0.33929411764705886, 0.3478039215686275, 0.6532941176470588},
-                               {0.34101960784313723, 0.3455686274509804, 0.652235294117647},
-                               {0.3427450980392157, 0.3433333333333334, 0.6511764705882352},
-                               {0.3444705882352941, 0.3410980392156863, 0.6501176470588235},
-                               {0.34619607843137257, 0.33886274509803926, 0.6490588235294117},
-                               {0.34792156862745094, 0.3366274509803922, 0.648},
-                               {0.3496470588235294, 0.33439215686274515, 0.6469411764705882},
-                               {0.35137254901960785, 0.33215686274509804, 0.6458823529411765},
-                               {0.3530980392156863, 0.32992156862745103, 0.6448235294117647},
-                               {0.3548235294117647, 0.3276862745098039, 0.6437647058823529},
-                               {0.35654901960784313, 0.3254509803921569, 0.6427058823529411},
-                               {0.3582745098039216, 0.3232156862745098, 0.6416470588235293},
-                               {0.36, 0.3209803921568628, 0.6405882352941176},
-                               {0.36172549019607847, 0.3187450980392157, 0.6395294117647059},
-                               {0.36345098039215684, 0.3165098039215687, 0.6384705882352941},
-                               {0.3651764705882353, 0.3142745098039216, 0.6374117647058823},
-                               {0.36690196078431375, 0.3120392156862745, 0.6363529411764706},
-                               {0.3686274509803922, 0.30980392156862746, 0.6352941176470588}};
+float palette_primary[1001][3]={{0.6196078431372549f, 0.00392156862745098f, 0.2588235294117647f},
+                               {0.621764705882353f, 0.006313725490196077f, 0.2593333333333333f},
+                               {0.623921568627451f, 0.008705882352941174f, 0.25984313725490193f},
+                               {0.626078431372549f, 0.011098039215686273f, 0.26035294117647056f},
+                               {0.6282352941176471f, 0.01349019607843137f, 0.2608627450980392f},
+                               {0.6303921568627451f, 0.01588235294117647f, 0.2613725490196078f},
+                               {0.6325490196078432f, 0.018274509803921566f, 0.26188235294117646f},
+                               {0.6347058823529412f, 0.020666666666666663f, 0.2623921568627451f},
+                               {0.6368627450980392f, 0.02305882352941176f, 0.2629019607843137f},
+                               {0.6390196078431373f, 0.025450980392156857f, 0.26341176470588235f},
+                               {0.6411764705882353f, 0.027843137254901958f, 0.263921568627451f},
+                               {0.6433333333333333f, 0.03023529411764705f, 0.2644313725490196f},
+                               {0.6454901960784314f, 0.03262745098039215f, 0.26494117647058824f},
+                               {0.6476470588235295f, 0.03501960784313725f, 0.2654509803921568f},
+                               {0.6498039215686274f, 0.037411764705882346f, 0.26596078431372544f},
+                               {0.6519607843137255f, 0.03980392156862744f, 0.26647058823529407f},
+                               {0.6541176470588236f, 0.04219607843137254f, 0.2669803921568627f},
+                               {0.6562745098039215f, 0.044588235294117644f, 0.26749019607843133f},
+                               {0.6584313725490196f, 0.046980392156862734f, 0.26799999999999996f},
+                               {0.6605882352941177f, 0.04937254901960783f, 0.2685098039215686f},
+                               {0.6627450980392157f, 0.051764705882352935f, 0.2690196078431372f},
+                               {0.6649019607843137f, 0.05415686274509803f, 0.26952941176470585f},
+                               {0.6670588235294118f, 0.05654901960784312f, 0.2700392156862745f},
+                               {0.6692156862745098f, 0.058941176470588226f, 0.2705490196078431f},
+                               {0.6713725490196079f, 0.06133333333333332f, 0.27105882352941174f},
+                               {0.6735294117647059f, 0.06372549019607843f, 0.27156862745098037f},
+                               {0.6756862745098039f, 0.0661176470588235f, 0.272078431372549f},
+                               {0.677843137254902f, 0.06850980392156861f, 0.27258823529411763f},
+                               {0.68f, 0.07090196078431371f, 0.27309803921568626f},
+                               {0.682156862745098f, 0.07329411764705882f, 0.2736078431372549f},
+                               {0.6843137254901961f, 0.0756862745098039f, 0.2741176470588235f},
+                               {0.6864705882352942f, 0.07807843137254901f, 0.27462745098039215f},
+                               {0.6886274509803921f, 0.0804705882352941f, 0.2751372549019608f},
+                               {0.6907843137254902f, 0.0828627450980392f, 0.2756470588235294f},
+                               {0.6929411764705883f, 0.08525490196078431f, 0.27615686274509804f},
+                               {0.6950980392156862f, 0.0876470588235294f, 0.27666666666666667f},
+                               {0.6972549019607843f, 0.09003921568627449f, 0.2771764705882353f},
+                               {0.6994117647058824f, 0.09243137254901959f, 0.2776862745098039f},
+                               {0.7015686274509804f, 0.09482352941176468f, 0.2781960784313725f},
+                               {0.7037254901960784f, 0.09721568627450979f, 0.27870588235294114f},
+                               {0.7058823529411765f, 0.09960784313725489f, 0.27921568627450977f},
+                               {0.7080392156862745f, 0.10199999999999998f, 0.2797254901960784f},
+                               {0.7101960784313726f, 0.10439215686274508f, 0.280235294117647f},
+                               {0.7123529411764706f, 0.10678431372549016f, 0.28074509803921566f},
+                               {0.7145098039215686f, 0.10917647058823526f, 0.2812549019607843f},
+                               {0.7166666666666667f, 0.11156862745098037f, 0.2817647058823529f},
+                               {0.7188235294117648f, 0.11396078431372547f, 0.28227450980392155f},
+                               {0.7209803921568627f, 0.11635294117647056f, 0.2827843137254902f},
+                               {0.7231372549019608f, 0.11874509803921567f, 0.2832941176470588f},
+                               {0.7252941176470589f, 0.12113725490196077f, 0.28380392156862744f},
+                               {0.7274509803921569f, 0.12352941176470586f, 0.28431372549019607f},
+                               {0.7296078431372549f, 0.12592156862745096f, 0.2848235294117647f},
+                               {0.731764705882353f, 0.12831372549019604f, 0.2853333333333333f},
+                               {0.733921568627451f, 0.13070588235294117f, 0.28584313725490196f},
+                               {0.736078431372549f, 0.13309803921568625f, 0.2863529411764706f},
+                               {0.7382352941176471f, 0.13549019607843132f, 0.2868627450980392f},
+                               {0.7403921568627451f, 0.13788235294117646f, 0.28737254901960785f},
+                               {0.7425490196078431f, 0.14027450980392153f, 0.2878823529411765f},
+                               {0.7447058823529412f, 0.14266666666666666f, 0.2883921568627451f},
+                               {0.7468627450980392f, 0.14505882352941174f, 0.28890196078431374f},
+                               {0.7490196078431373f, 0.14745098039215682f, 0.28941176470588237f},
+                               {0.7511764705882353f, 0.14984313725490195f, 0.289921568627451f},
+                               {0.7533333333333334f, 0.15223529411764702f, 0.29043137254901963f},
+                               {0.7554901960784314f, 0.1546274509803921f, 0.29094117647058826f},
+                               {0.7576470588235295f, 0.15701960784313723f, 0.2914509803921569f},
+                               {0.7598039215686274f, 0.1594117647058823f, 0.29196078431372546f},
+                               {0.7619607843137255f, 0.16180392156862744f, 0.2924705882352941f},
+                               {0.7641176470588236f, 0.16419607843137252f, 0.2929803921568627f},
+                               {0.7662745098039216f, 0.16658823529411765f, 0.29349019607843135f},
+                               {0.7684313725490196f, 0.16898039215686272f, 0.294f},
+                               {0.7705882352941177f, 0.1713725490196078f, 0.2945098039215686f},
+                               {0.7727450980392156f, 0.17376470588235288f, 0.29501960784313724f},
+                               {0.7749019607843137f, 0.176156862745098f, 0.2955294117647059f},
+                               {0.7770588235294118f, 0.17854901960784308f, 0.2960392156862745f},
+                               {0.7792156862745098f, 0.18094117647058822f, 0.29654901960784313f},
+                               {0.7813725490196078f, 0.1833333333333333f, 0.29705882352941176f},
+                               {0.7835294117647059f, 0.18572549019607837f, 0.2975686274509804f},
+                               {0.7856862745098039f, 0.1881176470588235f, 0.298078431372549f},
+                               {0.787843137254902f, 0.19050980392156858f, 0.29858823529411765f},
+                               {0.79f, 0.1929019607843137f, 0.2990980392156863f},
+                               {0.7921568627450981f, 0.19529411764705878f, 0.2996078431372549f},
+                               {0.7943137254901961f, 0.19768627450980386f, 0.30011764705882354f},
+                               {0.7964705882352942f, 0.200078431372549f, 0.3006274509803922f},
+                               {0.7986274509803921f, 0.20247058823529407f, 0.3011372549019608f},
+                               {0.8007843137254902f, 0.2048627450980392f, 0.30164705882352943f},
+                               {0.8029411764705883f, 0.20725490196078428f, 0.30215686274509806f},
+                               {0.8050980392156862f, 0.20964705882352935f, 0.30266666666666664f},
+                               {0.8072549019607843f, 0.21203921568627443f, 0.30317647058823527f},
+                               {0.8094117647058824f, 0.21443137254901956f, 0.3036862745098039f},
+                               {0.8115686274509804f, 0.21682352941176464f, 0.30419607843137253f},
+                               {0.8137254901960784f, 0.21921568627450977f, 0.30470588235294116f},
+                               {0.8158823529411765f, 0.22160784313725485f, 0.3052156862745098f},
+                               {0.8180392156862746f, 0.22399999999999998f, 0.3057254901960784f},
+                               {0.8201960784313725f, 0.22639215686274505f, 0.30623529411764705f},
+                               {0.8223529411764706f, 0.22878431372549013f, 0.3067450980392157f},
+                               {0.8245098039215686f, 0.23117647058823526f, 0.3072549019607843f},
+                               {0.8266666666666667f, 0.23356862745098034f, 0.30776470588235294f},
+                               {0.8288235294117647f, 0.23596078431372547f, 0.30827450980392157f},
+                               {0.8309803921568628f, 0.23835294117647055f, 0.3087843137254902f},
+                               {0.8331372549019608f, 0.24074509803921562f, 0.30929411764705883f},
+                               {0.8352941176470589f, 0.24313725490196078f, 0.30980392156862746f},
+                               {0.8365098039215687f, 0.24498039215686274f, 0.30933333333333335f},
+                               {0.8377254901960784f, 0.2468235294117647f, 0.30886274509803924f},
+                               {0.8389411764705883f, 0.24866666666666667f, 0.3083921568627451f},
+                               {0.840156862745098f, 0.25050980392156863f, 0.307921568627451f},
+                               {0.8413725490196079f, 0.25235294117647056f, 0.30745098039215685f},
+                               {0.8425882352941176f, 0.25419607843137254f, 0.30698039215686274f},
+                               {0.8438039215686275f, 0.2560392156862745f, 0.3065098039215686f},
+                               {0.8450196078431372f, 0.25788235294117645f, 0.3060392156862745f},
+                               {0.8462352941176471f, 0.25972549019607843f, 0.3055686274509804f},
+                               {0.8474509803921568f, 0.26156862745098036f, 0.3050980392156863f},
+                               {0.8486666666666667f, 0.26341176470588235f, 0.3046274509803922f},
+                               {0.8498823529411765f, 0.26525490196078433f, 0.30415686274509807f},
+                               {0.8510980392156863f, 0.26709803921568626f, 0.30368627450980396f},
+                               {0.8523137254901961f, 0.26894117647058824f, 0.3032156862745098f},
+                               {0.8535294117647059f, 0.27078431372549017f, 0.3027450980392157f},
+                               {0.8547450980392157f, 0.27262745098039215f, 0.30227450980392156f},
+                               {0.8559607843137255f, 0.27447058823529413f, 0.30180392156862745f},
+                               {0.8571764705882353f, 0.27631372549019606f, 0.30133333333333334f},
+                               {0.8583921568627451f, 0.27815686274509804f, 0.30086274509803923f},
+                               {0.8596078431372549f, 0.27999999999999997f, 0.3003921568627451f},
+                               {0.8608235294117648f, 0.28184313725490195f, 0.299921568627451f},
+                               {0.8620392156862745f, 0.2836862745098039f, 0.2994509803921569f},
+                               {0.8632549019607844f, 0.28552941176470586f, 0.29898039215686273f},
+                               {0.8644705882352941f, 0.28737254901960785f, 0.2985098039215686f},
+                               {0.865686274509804f, 0.2892156862745098f, 0.2980392156862745f},
+                               {0.8669019607843137f, 0.29105882352941176f, 0.2975686274509804f},
+                               {0.8681176470588235f, 0.29290196078431374f, 0.2970980392156863f},
+                               {0.8693333333333333f, 0.29474509803921567f, 0.29662745098039217f},
+                               {0.8705490196078431f, 0.29658823529411765f, 0.29615686274509806f},
+                               {0.871764705882353f, 0.2984313725490196f, 0.29568627450980395f},
+                               {0.8729803921568627f, 0.30027450980392156f, 0.29521568627450984f},
+                               {0.8741960784313726f, 0.3021176470588235f, 0.29474509803921567f},
+                               {0.8754117647058823f, 0.3039607843137255f, 0.29427450980392156f},
+                               {0.8766274509803922f, 0.30580392156862746f, 0.29380392156862745f},
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+                               {0.20298039215686275f, 0.5243921568627451f, 0.7369411764705882f},
+                               {0.20470588235294118f, 0.522156862745098f, 0.7358823529411765f},
+                               {0.2064313725490196f, 0.519921568627451f, 0.7348235294117648f},
+                               {0.20815686274509804f, 0.5176862745098039f, 0.733764705882353f},
+                               {0.20988235294117646f, 0.5154509803921569f, 0.7327058823529412f},
+                               {0.2116078431372549f, 0.5132156862745098f, 0.7316470588235294f},
+                               {0.21333333333333332f, 0.5109803921568628f, 0.7305882352941176f},
+                               {0.21505882352941175f, 0.5087450980392156f, 0.7295294117647059f},
+                               {0.2167843137254902f, 0.5065098039215686f, 0.7284705882352941f},
+                               {0.21850980392156863f, 0.5042745098039215f, 0.7274117647058824f},
+                               {0.22023529411764706f, 0.5020392156862745f, 0.7263529411764706f},
+                               {0.22196078431372548f, 0.49980392156862746f, 0.7252941176470589f},
+                               {0.2236862745098039f, 0.4975686274509804f, 0.7242352941176471f},
+                               {0.22541176470588237f, 0.49533333333333335f, 0.7231764705882353f},
+                               {0.2271372549019608f, 0.4930980392156863f, 0.7221176470588235f},
+                               {0.22886274509803922f, 0.49086274509803923f, 0.7210588235294118f},
+                               {0.23058823529411765f, 0.4886274509803922f, 0.72f},
+                               {0.23231372549019608f, 0.4863921568627451f, 0.7189411764705882f},
+                               {0.2340392156862745f, 0.48415686274509806f, 0.7178823529411765f},
+                               {0.23576470588235293f, 0.481921568627451f, 0.7168235294117647f},
+                               {0.23749019607843136f, 0.47968627450980394f, 0.715764705882353f},
+                               {0.23921568627450981f, 0.47745098039215683f, 0.7147058823529412f},
+                               {0.24094117647058824f, 0.47521568627450983f, 0.7136470588235294f},
+                               {0.24266666666666667f, 0.4729803921568628f, 0.7125882352941176f},
+                               {0.2443921568627451f, 0.4707450980392157f, 0.7115294117647059f},
+                               {0.24611764705882352f, 0.4685098039215686f, 0.7104705882352941f},
+                               {0.24784313725490195f, 0.4662745098039216f, 0.7094117647058824f},
+                               {0.2495686274509804f, 0.4640392156862745f, 0.7083529411764706f},
+                               {0.25129411764705883f, 0.4618039215686275f, 0.7072941176470589f},
+                               {0.25301960784313726f, 0.45956862745098037f, 0.7062352941176471f},
+                               {0.2547450980392157f, 0.4573333333333333f, 0.7051764705882353f},
+                               {0.2564705882352941f, 0.45509803921568626f, 0.7041176470588235f},
+                               {0.25819607843137254f, 0.45286274509803925f, 0.7030588235294117f},
+                               {0.25992156862745097f, 0.45062745098039214f, 0.702f},
+                               {0.2616470588235294f, 0.44839215686274514f, 0.7009411764705883f},
+                               {0.2633725490196078f, 0.446156862745098f, 0.6998823529411765f},
+                               {0.2650980392156863f, 0.44392156862745097f, 0.6988235294117647f},
+                               {0.2668235294117647f, 0.4416862745098039f, 0.697764705882353f},
+                               {0.26854901960784316f, 0.43945098039215685f, 0.6967058823529412f},
+                               {0.27027450980392154f, 0.4372156862745098f, 0.6956470588235294f},
+                               {0.272f, 0.4349803921568628f, 0.6945882352941176f},
+                               {0.27372549019607845f, 0.4327450980392157f, 0.6935294117647058f},
+                               {0.2754509803921569f, 0.4305098039215686f, 0.6924705882352942f},
+                               {0.2771764705882353f, 0.42827450980392157f, 0.6914117647058824f},
+                               {0.27890196078431373f, 0.4260392156862745f, 0.6903529411764706f},
+                               {0.28062745098039216f, 0.42380392156862745f, 0.6892941176470588f},
+                               {0.2823529411764706f, 0.4215686274509804f, 0.6882352941176471f},
+                               {0.284078431372549f, 0.41933333333333334f, 0.6871764705882353f},
+                               {0.28580392156862744f, 0.4170980392156863f, 0.6861176470588235f},
+                               {0.28752941176470587f, 0.4148627450980392f, 0.6850588235294117f},
+                               {0.2892549019607843f, 0.41262745098039216f, 0.6839999999999999f},
+                               {0.2909803921568628f, 0.4103921568627451f, 0.6829411764705883f},
+                               {0.29270588235294115f, 0.40815686274509805f, 0.6818823529411765f},
+                               {0.29443137254901963f, 0.405921568627451f, 0.6808235294117647f},
+                               {0.29615686274509806f, 0.40368627450980393f, 0.6797647058823529f},
+                               {0.2978823529411765f, 0.4014509803921569f, 0.6787058823529412f},
+                               {0.2996078431372549f, 0.3992156862745098f, 0.6776470588235294f},
+                               {0.30133333333333334f, 0.39698039215686276f, 0.6765882352941176f},
+                               {0.30305882352941177f, 0.3947450980392157f, 0.6755294117647059f},
+                               {0.3047843137254902f, 0.39250980392156865f, 0.6744705882352942f},
+                               {0.3065098039215686f, 0.3902745098039216f, 0.6734117647058824f},
+                               {0.30823529411764705f, 0.38803921568627453f, 0.6723529411764706f},
+                               {0.3099607843137255f, 0.3858039215686275f, 0.6712941176470588f},
+                               {0.3116862745098039f, 0.3835686274509804f, 0.670235294117647f},
+                               {0.3134117647058824f, 0.3813333333333333f, 0.6691764705882353f},
+                               {0.3151372549019608f, 0.3790980392156863f, 0.6681176470588235f},
+                               {0.31686274509803924f, 0.3768627450980392f, 0.6670588235294117f},
+                               {0.3185882352941176f, 0.3746274509803922f, 0.666f},
+                               {0.3203137254901961f, 0.3723921568627451f, 0.6649411764705883f},
+                               {0.32203921568627447f, 0.37015686274509807f, 0.6638823529411765f},
+                               {0.32376470588235295f, 0.367921568627451f, 0.6628235294117647f},
+                               {0.3254901960784314f, 0.36568627450980395f, 0.6617647058823529f},
+                               {0.3272156862745098f, 0.3634509803921569f, 0.6607058823529411f},
+                               {0.32894117647058824f, 0.36121568627450984f, 0.6596470588235294f},
+                               {0.33066666666666666f, 0.3589803921568628f, 0.6585882352941176f},
+                               {0.3323921568627451f, 0.3567450980392157f, 0.6575294117647059f},
+                               {0.3341176470588235f, 0.3545098039215686f, 0.6564705882352941f},
+                               {0.335843137254902f, 0.3522745098039216f, 0.6554117647058824f},
+                               {0.3375686274509804f, 0.3500392156862745f, 0.6543529411764706f},
+                               {0.33929411764705886f, 0.3478039215686275f, 0.6532941176470588f},
+                               {0.34101960784313723f, 0.3455686274509804f, 0.652235294117647f},
+                               {0.3427450980392157f, 0.3433333333333334f, 0.6511764705882352f},
+                               {0.3444705882352941f, 0.3410980392156863f, 0.6501176470588235f},
+                               {0.34619607843137257f, 0.33886274509803926f, 0.6490588235294117f},
+                               {0.34792156862745094f, 0.3366274509803922f, 0.648f},
+                               {0.3496470588235294f, 0.33439215686274515f, 0.6469411764705882f},
+                               {0.35137254901960785f, 0.33215686274509804f, 0.6458823529411765f},
+                               {0.3530980392156863f, 0.32992156862745103f, 0.6448235294117647f},
+                               {0.3548235294117647f, 0.3276862745098039f, 0.6437647058823529f},
+                               {0.35654901960784313f, 0.3254509803921569f, 0.6427058823529411f},
+                               {0.3582745098039216f, 0.3232156862745098f, 0.6416470588235293f},
+                               {0.36f, 0.3209803921568628f, 0.6405882352941176f},
+                               {0.36172549019607847f, 0.3187450980392157f, 0.6395294117647059f},
+                               {0.36345098039215684f, 0.3165098039215687f, 0.6384705882352941f},
+                               {0.3651764705882353f, 0.3142745098039216f, 0.6374117647058823f},
+                               {0.36690196078431375f, 0.3120392156862745f, 0.6363529411764706f},
+                               {0.3686274509803922f, 0.30980392156862746f, 0.6352941176470588f}};
 
 /*(Table[Blend[
   Map[(RGBColor @@ # &), ({{255, 245, 240}, {254, 224, 210}, {252, 
@@ -4512,2014 +4512,2014 @@ float palette_primary[1001][3]={{0.6196078431372549, 0.00392156862745098, 0.2588
   44}, {203, 24, 29}, {165, 15, 21}, {103, 0, 13}}/255), {1}],
   x/1000], {x, 0, 1000, 1.}] /. RGBColor -> List) >> /tmp/1*/
 
-float palette_sequential_singlehue_red[1001][3]={{1., 0.9607843137254902, 0.9411764705882353}, 
-                                                {0.9999686274509804, 0.9601254901960785, 0.9402352941176471}, 
-                                                {0.9999372549019608, 0.9594666666666667, 0.9392941176470588}, 
-                                                {0.9999058823529412, 0.958807843137255, 0.9383529411764706}, 
-                                                {0.9998745098039216, 0.9581490196078432, 0.9374117647058824}, 
-                                                {0.9998431372549019, 0.9574901960784314, 0.936470588235294}, 
-                                                {0.9998117647058824, 0.9568313725490196, 0.9355294117647058}, 
-                                                {0.9997803921568628, 0.9561725490196079, 0.9345882352941176}, 
-                                                {0.9997490196078431, 0.9555137254901961, 0.9336470588235294}, 
-                                                {0.9997176470588235, 0.9548549019607844, 0.9327058823529412}, 
-                                                {0.999686274509804, 0.9541960784313726, 0.9317647058823529}, 
-                                                {0.9996549019607843, 0.9535372549019608, 0.9308235294117647}, 
-                                                {0.9996235294117647, 0.952878431372549, 0.9298823529411765}, 
-                                                {0.999592156862745, 0.9522196078431373, 0.9289411764705883}, 
-                                                {0.9995607843137255, 0.9515607843137255, 0.9279999999999999}, 
-                                                {0.9995294117647059, 0.9509019607843138, 0.9270588235294117}, 
-                                                {0.9994980392156863, 0.950243137254902, 0.9261176470588235}, 
-                                                {0.9994666666666666, 0.9495843137254902, 0.9251764705882353}, 
-                                                {0.9994352941176471, 0.9489254901960784, 0.924235294117647}, 
-                                                {0.9994039215686275, 0.9482666666666667, 0.9232941176470588}, 
-                                                {0.9993725490196078, 0.9476078431372549, 0.9223529411764706}, 
-                                                {0.9993411764705883, 0.9469490196078432, 0.9214117647058824}, 
-                                                {0.9993098039215687, 0.9462901960784313, 0.9204705882352942}, 
-                                                {0.999278431372549, 0.9456313725490196, 0.9195294117647058}, 
-                                                {0.9992470588235294, 0.9449725490196078, 0.9185882352941176}, 
-                                                {0.9992156862745099, 0.9443137254901961, 0.9176470588235294}, 
-                                                {0.9991843137254902, 0.9436549019607843, 0.9167058823529411}, 
-                                                {0.9991529411764706, 0.9429960784313726, 0.9157647058823529}, 
-                                                {0.9991215686274509, 0.9423372549019609, 0.9148235294117647}, 
-                                                {0.9990901960784314, 0.941678431372549, 0.9138823529411765}, 
-                                                {0.9990588235294118, 0.9410196078431373, 0.9129411764705883}, 
-                                                {0.9990274509803921, 0.9403607843137255, 0.912}, 
-                                                {0.9989960784313725, 0.9397019607843138, 0.9110588235294117}, 
-                                                {0.998964705882353, 0.939043137254902, 0.9101176470588235}, 
-                                                {0.9989333333333333, 0.9383843137254902, 0.9091764705882353}, 
-                                                {0.9989019607843137, 0.9377254901960784, 0.908235294117647}, 
-                                                {0.9988705882352942, 0.9370666666666667, 0.9072941176470588}, 
-                                                {0.9988392156862745, 0.9364078431372549, 0.9063529411764706}, 
-                                                {0.9988078431372549, 0.9357490196078432, 0.9054117647058824}, 
-                                                {0.9987764705882353, 0.9350901960784314, 0.9044705882352941}, 
-                                                {0.9987450980392157, 0.9344313725490196, 0.9035294117647059}, 
-                                                {0.9987137254901961, 0.9337725490196078, 0.9025882352941176}, 
-                                                {0.9986823529411765, 0.9331137254901961, 0.9016470588235294}, 
-                                                {0.9986509803921568, 0.9324549019607843, 0.9007058823529411}, 
-                                                {0.9986196078431373, 0.9317960784313726, 0.8997647058823529}, 
-                                                {0.9985882352941177, 0.9311372549019608, 0.8988235294117647}, 
-                                                {0.998556862745098, 0.930478431372549, 0.8978823529411765}, 
-                                                {0.9985254901960784, 0.9298196078431372, 0.8969411764705882}, 
-                                                {0.9984941176470589, 0.9291607843137255, 0.896}, 
-                                                {0.9984627450980392, 0.9285019607843137, 0.8950588235294117}, 
-                                                {0.9984313725490196, 0.927843137254902, 0.8941176470588235}, 
-                                                {0.9984, 0.9271843137254903, 0.8931764705882352}, 
-                                                {0.9983686274509804, 0.9265254901960784, 0.892235294117647}, 
-                                                {0.9983372549019608, 0.9258666666666667, 0.8912941176470588}, 
-                                                {0.9983058823529412, 0.9252078431372549, 0.8903529411764706}, 
-                                                {0.9982745098039216, 0.9245490196078432, 0.8894117647058823}, 
-                                                {0.998243137254902, 0.9238901960784314, 0.8884705882352941}, 
-                                                {0.9982117647058824, 0.9232313725490197, 0.8875294117647059}, 
-                                                {0.9981803921568627, 0.9225725490196078, 0.8865882352941177}, 
-                                                {0.9981490196078432, 0.9219137254901961, 0.8856470588235293}, 
-                                                {0.9981176470588236, 0.9212549019607843, 0.8847058823529411}, 
-                                                {0.9980862745098039, 0.9205960784313726, 0.8837647058823529}, 
-                                                {0.9980549019607843, 0.9199372549019608, 0.8828235294117647}, 
-                                                {0.9980235294117648, 0.919278431372549, 0.8818823529411765}, 
-                                                {0.9979921568627451, 0.9186196078431372, 0.8809411764705882}, 
-                                                {0.9979607843137255, 0.9179607843137255, 0.88}, 
-                                                {0.9979294117647058, 0.9173019607843137, 0.8790588235294118}, 
-                                                {0.9978980392156863, 0.916643137254902, 0.8781176470588234}, 
-                                                {0.9978666666666667, 0.9159843137254902, 0.8771764705882352}, 
-                                                {0.997835294117647, 0.9153254901960785, 0.876235294117647}, 
-                                                {0.9978039215686274, 0.9146666666666666, 0.8752941176470588}, 
-                                                {0.9977725490196079, 0.9140078431372549, 0.8743529411764706}, 
-                                                {0.9977411764705882, 0.9133490196078431, 0.8734117647058823}, 
-                                                {0.9977098039215686, 0.9126901960784314, 0.8724705882352941}, 
-                                                {0.9976784313725491, 0.9120313725490197, 0.8715294117647059}, 
-                                                {0.9976470588235294, 0.9113725490196078, 0.8705882352941177}, 
-                                                {0.9976156862745098, 0.910713725490196, 0.8696470588235294}, 
-                                                {0.9975843137254902, 0.9100549019607843, 0.8687058823529411}, 
-                                                {0.9975529411764706, 0.9093960784313726, 0.8677647058823529}, 
-                                                {0.997521568627451, 0.9087372549019608, 0.8668235294117647}, 
-                                                {0.9974901960784314, 0.9080784313725491, 0.8658823529411764}, 
-                                                {0.9974588235294117, 0.9074196078431372, 0.8649411764705882}, 
-                                                {0.9974274509803922, 0.9067607843137255, 0.864}, 
-                                                {0.9973960784313726, 0.9061019607843137, 0.8630588235294118}, 
-                                                {0.9973647058823529, 0.905443137254902, 0.8621176470588234}, 
-                                                {0.9973333333333333, 0.9047843137254902, 0.8611764705882352}, 
-                                                {0.9973019607843138, 0.9041254901960785, 0.860235294117647}, 
-                                                {0.9972705882352941, 0.9034666666666666, 0.8592941176470588}, 
-                                                {0.9972392156862745, 0.9028078431372549, 0.8583529411764705}, 
-                                                {0.9972078431372549, 0.9021490196078431, 0.8574117647058823}, 
-                                                {0.9971764705882353, 0.9014901960784314, 0.8564705882352941}, 
-                                                {0.9971450980392157, 0.9008313725490196, 0.8555294117647059}, 
-                                                {0.9971137254901961, 0.9001725490196079, 0.8545882352941176}, 
-                                                {0.9970823529411765, 0.899513725490196, 0.8536470588235294}, 
-                                                {0.9970509803921569, 0.8988549019607843, 0.8527058823529412}, 
-                                                {0.9970196078431373, 0.8981960784313725, 0.8517647058823529}, 
-                                                {0.9969882352941176, 0.8975372549019608, 0.8508235294117646}, 
-                                                {0.9969568627450981, 0.896878431372549, 0.8498823529411764}, 
-                                                {0.9969254901960785, 0.8962196078431373, 0.8489411764705882}, 
-                                                {0.9968941176470588, 0.8955607843137254, 0.848}, 
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-                                                {0.5614745098039216, 0.038117647058823506, 0.07130980392156862}, 
-                                                {0.5595294117647058, 0.037647058823529395, 0.07105882352941176}, 
-                                                {0.5575843137254901, 0.03717647058823527, 0.07080784313725488}, 
-                                                {0.5556392156862744, 0.03670588235294116, 0.07055686274509802}, 
-                                                {0.5536941176470588, 0.03623529411764704, 0.07030588235294116}, 
-                                                {0.5517490196078431, 0.03576470588235292, 0.0700549019607843}, 
-                                                {0.5498039215686273, 0.0352941176470588, 0.06980392156862744}, 
-                                                {0.5478588235294117, 0.034823529411764684, 0.06955294117647058}, 
-                                                {0.545913725490196, 0.034352941176470565, 0.06930196078431371}, 
-                                                {0.5439686274509803, 0.03388235294117645, 0.06905098039215685}, 
-                                                {0.5420235294117647, 0.03341176470588233, 0.06879999999999999}, 
-                                                {0.540078431372549, 0.03294117647058821, 0.06854901960784313}, 
-                                                {0.5381333333333332, 0.0324705882352941, 0.06829803921568627}, 
-                                                {0.5361882352941176, 0.03199999999999997, 0.0680470588235294}, 
-                                                {0.5342431372549019, 0.03152941176470586, 0.06779607843137253}, 
-                                                {0.5322980392156862, 0.03105882352941174, 0.06754509803921567}, 
-                                                {0.5303529411764705, 0.03058823529411762, 0.06729411764705881}, 
-                                                {0.5284078431372549, 0.030117647058823502, 0.06704313725490195}, 
-                                                {0.5264627450980391, 0.029647058823529384, 0.06679215686274509}, 
-                                                {0.5245176470588234, 0.02917647058823527, 0.06654117647058821}, 
-                                                {0.5225725490196078, 0.02870588235294115, 0.06629019607843135}, 
-                                                {0.5206274509803921, 0.028235294117647032, 0.0660392156862745}, 
-                                                {0.5186823529411764, 0.027764705882352914, 0.06578823529411763}, 
-                                                {0.5167372549019607, 0.027294117647058795, 0.06553725490196077}, 
-                                                {0.5147921568627449, 0.026823529411764677, 0.0652862745098039}, 
-                                                {0.5128470588235293, 0.026352941176470558, 0.06503529411764704}, 
-                                                {0.5109019607843136, 0.02588235294117644, 0.06478431372549018}, 
-                                                {0.508956862745098, 0.02541176470588232, 0.06453333333333332}, 
-                                                {0.5070117647058823, 0.024941176470588203, 0.06428235294117646}, 
-                                                {0.5050666666666666, 0.024470588235294084, 0.06403137254901958}, 
-                                                {0.5031215686274508, 0.023999999999999966, 0.06378039215686274}, 
-                                                {0.5011764705882352, 0.023529411764705847, 0.06352941176470586}, 
-                                                {0.4992313725490195, 0.023058823529411736, 0.063278431372549}, 
-                                                {0.4972862745098038, 0.022588235294117617, 0.06302745098039214}, 
-                                                {0.4953411764705881, 0.0221176470588235, 0.06277647058823528}, 
-                                                {0.49339607843137245, 0.02164705882352938, 0.06252549019607842}, 
-                                                {0.49145098039215673, 0.021176470588235262, 0.062274509803921546}, 
-                                                {0.489505882352941, 0.020705882352941143, 0.062023529411764686}, 
-                                                {0.4875607843137254, 0.020235294117647025, 0.061772549019607825}, 
-                                                {0.4856156862745097, 0.019764705882352906, 0.061521568627450965}, 
-                                                {0.48367058823529396, 0.019294117647058788, 0.0612705882352941}, 
-                                                {0.4817254901960785, 0.018823529411764725, 0.06101960784313726}, 
-                                                {0.47978039215686286, 0.018352941176470607, 0.0607686274509804}, 
-                                                {0.47783529411764714, 0.017882352941176488, 0.06051764705882354}, 
-                                                {0.4758901960784314, 0.01741176470588237, 0.06026666666666668}, 
-                                                {0.47394509803921575, 0.01694117647058825, 0.060015686274509816}, 
-                                                {0.4720000000000001, 0.016470588235294133, 0.05976470588235295}, 
-                                                {0.47005490196078437, 0.016000000000000014, 0.05951372549019608}, 
-                                                {0.4681098039215687, 0.015529411764705896, 0.05926274509803922}, 
-                                                {0.46616470588235304, 0.015058823529411777, 0.05901176470588236}, 
-                                                {0.4642196078431373, 0.014588235294117659, 0.0587607843137255}, 
-                                                {0.4622745098039216, 0.01411764705882354, 0.05850980392156863}, 
-                                                {0.460329411764706, 0.013647058823529422, 0.058258823529411766}, 
-                                                {0.45838431372549027, 0.013176470588235303, 0.058007843137254905}, 
-                                                {0.45643921568627455, 0.012705882352941185, 0.057756862745098045}, 
-                                                {0.4544941176470589, 0.012235294117647066, 0.057505882352941184}, 
-                                                {0.4525490196078432, 0.011764705882352955, 0.05725490196078432}, 
-                                                {0.4506039215686275, 0.011294117647058836, 0.05700392156862746}, 
-                                                {0.4486588235294118, 0.010823529411764718, 0.05675294117647059}, 
-                                                {0.44671372549019617, 0.0103529411764706, 0.05650196078431373}, 
-                                                {0.44476862745098045, 0.009882352941176481, 0.05625098039215687}, 
-                                                {0.4428235294117647, 0.009411764705882363, 0.05600000000000001}, 
-                                                {0.44087843137254906, 0.008941176470588244, 0.05574901960784314}, 
-                                                {0.4389333333333334, 0.008470588235294126, 0.05549803921568627}, 
-                                                {0.4369882352941177, 0.008000000000000007, 0.05524705882352941}, 
-                                                {0.435043137254902, 0.007529411764705889, 0.05499607843137255}, 
-                                                {0.43309803921568635, 0.00705882352941177, 0.05474509803921569}, 
-                                                {0.4311529411764706, 0.006588235294117652, 0.054494117647058825}, 
-                                                {0.4292078431372549, 0.006117647058823533, 0.054243137254901964}, 
-                                                {0.42726274509803924, 0.005647058823529415, 0.0539921568627451}, 
-                                                {0.4253176470588236, 0.005176470588235296, 0.05374117647058824}, 
-                                                {0.42337254901960786, 0.004705882352941178, 0.053490196078431376}, 
-                                                {0.4214274509803922, 0.004235294117647059, 0.053239215686274516}, 
-                                                {0.41948235294117653, 0.003764705882352948, 0.05298823529411765}, 
-                                                {0.4175372549019608, 0.0032941176470588293, 0.05273725490196078}, 
-                                                {0.4155921568627451, 0.002823529411764711, 0.05248627450980392}, 
-                                                {0.4136470588235294, 0.0023529411764705924, 0.05223529411764706}, 
-                                                {0.41170196078431376, 0.001882352941176474, 0.0519843137254902}, 
-                                                {0.40975686274509804, 0.0014117647058823554, 0.05173333333333333}, 
-                                                {0.4078117647058824, 0.000941176470588237, 0.051482352941176465}, 
-                                                {0.4058666666666667, 0.0004705882352941185, 0.051231372549019605}, 
-                                                {0.403921568627451, 0., 0.050980392156862744}};
+float palette_sequential_singlehue_red[1001][3]={{1.f, 0.9607843137254902f, 0.9411764705882353f}, 
+                                                {0.9999686274509804f, 0.9601254901960785f, 0.9402352941176471f}, 
+                                                {0.9999372549019608f, 0.9594666666666667f, 0.9392941176470588f}, 
+                                                {0.9999058823529412f, 0.958807843137255f, 0.9383529411764706f}, 
+                                                {0.9998745098039216f, 0.9581490196078432f, 0.9374117647058824f}, 
+                                                {0.9998431372549019f, 0.9574901960784314f, 0.936470588235294f}, 
+                                                {0.9998117647058824f, 0.9568313725490196f, 0.9355294117647058f}, 
+                                                {0.9997803921568628f, 0.9561725490196079f, 0.9345882352941176f}, 
+                                                {0.9997490196078431f, 0.9555137254901961f, 0.9336470588235294f}, 
+                                                {0.9997176470588235f, 0.9548549019607844f, 0.9327058823529412f}, 
+                                                {0.999686274509804f, 0.9541960784313726f, 0.9317647058823529f}, 
+                                                {0.9996549019607843f, 0.9535372549019608f, 0.9308235294117647f}, 
+                                                {0.9996235294117647f, 0.952878431372549f, 0.9298823529411765f}, 
+                                                {0.999592156862745f, 0.9522196078431373f, 0.9289411764705883f}, 
+                                                {0.9995607843137255f, 0.9515607843137255f, 0.9279999999999999f}, 
+                                                {0.9995294117647059f, 0.9509019607843138f, 0.9270588235294117f}, 
+                                                {0.9994980392156863f, 0.950243137254902f, 0.9261176470588235f}, 
+                                                {0.9994666666666666f, 0.9495843137254902f, 0.9251764705882353f}, 
+                                                {0.9994352941176471f, 0.9489254901960784f, 0.924235294117647f}, 
+                                                {0.9994039215686275f, 0.9482666666666667f, 0.9232941176470588f}, 
+                                                {0.9993725490196078f, 0.9476078431372549f, 0.9223529411764706f}, 
+                                                {0.9993411764705883f, 0.9469490196078432f, 0.9214117647058824f}, 
+                                                {0.9993098039215687f, 0.9462901960784313f, 0.9204705882352942f}, 
+                                                {0.999278431372549f, 0.9456313725490196f, 0.9195294117647058f}, 
+                                                {0.9992470588235294f, 0.9449725490196078f, 0.9185882352941176f}, 
+                                                {0.9992156862745099f, 0.9443137254901961f, 0.9176470588235294f}, 
+                                                {0.9991843137254902f, 0.9436549019607843f, 0.9167058823529411f}, 
+                                                {0.9991529411764706f, 0.9429960784313726f, 0.9157647058823529f}, 
+                                                {0.9991215686274509f, 0.9423372549019609f, 0.9148235294117647f}, 
+                                                {0.9990901960784314f, 0.941678431372549f, 0.9138823529411765f}, 
+                                                {0.9990588235294118f, 0.9410196078431373f, 0.9129411764705883f}, 
+                                                {0.9990274509803921f, 0.9403607843137255f, 0.912f}, 
+                                                {0.9989960784313725f, 0.9397019607843138f, 0.9110588235294117f}, 
+                                                {0.998964705882353f, 0.939043137254902f, 0.9101176470588235f}, 
+                                                {0.9989333333333333f, 0.9383843137254902f, 0.9091764705882353f}, 
+                                                {0.9989019607843137f, 0.9377254901960784f, 0.908235294117647f}, 
+                                                {0.9988705882352942f, 0.9370666666666667f, 0.9072941176470588f}, 
+                                                {0.9988392156862745f, 0.9364078431372549f, 0.9063529411764706f}, 
+                                                {0.9988078431372549f, 0.9357490196078432f, 0.9054117647058824f}, 
+                                                {0.9987764705882353f, 0.9350901960784314f, 0.9044705882352941f}, 
+                                                {0.9987450980392157f, 0.9344313725490196f, 0.9035294117647059f}, 
+                                                {0.9987137254901961f, 0.9337725490196078f, 0.9025882352941176f}, 
+                                                {0.9986823529411765f, 0.9331137254901961f, 0.9016470588235294f}, 
+                                                {0.9986509803921568f, 0.9324549019607843f, 0.9007058823529411f}, 
+                                                {0.9986196078431373f, 0.9317960784313726f, 0.8997647058823529f}, 
+                                                {0.9985882352941177f, 0.9311372549019608f, 0.8988235294117647f}, 
+                                                {0.998556862745098f, 0.930478431372549f, 0.8978823529411765f}, 
+                                                {0.9985254901960784f, 0.9298196078431372f, 0.8969411764705882f}, 
+                                                {0.9984941176470589f, 0.9291607843137255f, 0.896f}, 
+                                                {0.9984627450980392f, 0.9285019607843137f, 0.8950588235294117f}, 
+                                                {0.9984313725490196f, 0.927843137254902f, 0.8941176470588235f}, 
+                                                {0.9984f, 0.9271843137254903f, 0.8931764705882352f}, 
+                                                {0.9983686274509804f, 0.9265254901960784f, 0.892235294117647f}, 
+                                                {0.9983372549019608f, 0.9258666666666667f, 0.8912941176470588f}, 
+                                                {0.9983058823529412f, 0.9252078431372549f, 0.8903529411764706f}, 
+                                                {0.9982745098039216f, 0.9245490196078432f, 0.8894117647058823f}, 
+                                                {0.998243137254902f, 0.9238901960784314f, 0.8884705882352941f}, 
+                                                {0.9982117647058824f, 0.9232313725490197f, 0.8875294117647059f}, 
+                                                {0.9981803921568627f, 0.9225725490196078f, 0.8865882352941177f}, 
+                                                {0.9981490196078432f, 0.9219137254901961f, 0.8856470588235293f}, 
+                                                {0.9981176470588236f, 0.9212549019607843f, 0.8847058823529411f}, 
+                                                {0.9980862745098039f, 0.9205960784313726f, 0.8837647058823529f}, 
+                                                {0.9980549019607843f, 0.9199372549019608f, 0.8828235294117647f}, 
+                                                {0.9980235294117648f, 0.919278431372549f, 0.8818823529411765f}, 
+                                                {0.9979921568627451f, 0.9186196078431372f, 0.8809411764705882f}, 
+                                                {0.9979607843137255f, 0.9179607843137255f, 0.88f}, 
+                                                {0.9979294117647058f, 0.9173019607843137f, 0.8790588235294118f}, 
+                                                {0.9978980392156863f, 0.916643137254902f, 0.8781176470588234f}, 
+                                                {0.9978666666666667f, 0.9159843137254902f, 0.8771764705882352f}, 
+                                                {0.997835294117647f, 0.9153254901960785f, 0.876235294117647f}, 
+                                                {0.9978039215686274f, 0.9146666666666666f, 0.8752941176470588f}, 
+                                                {0.9977725490196079f, 0.9140078431372549f, 0.8743529411764706f}, 
+                                                {0.9977411764705882f, 0.9133490196078431f, 0.8734117647058823f}, 
+                                                {0.9977098039215686f, 0.9126901960784314f, 0.8724705882352941f}, 
+                                                {0.9976784313725491f, 0.9120313725490197f, 0.8715294117647059f}, 
+                                                {0.9976470588235294f, 0.9113725490196078f, 0.8705882352941177f}, 
+                                                {0.9976156862745098f, 0.910713725490196f, 0.8696470588235294f}, 
+                                                {0.9975843137254902f, 0.9100549019607843f, 0.8687058823529411f}, 
+                                                {0.9975529411764706f, 0.9093960784313726f, 0.8677647058823529f}, 
+                                                {0.997521568627451f, 0.9087372549019608f, 0.8668235294117647f}, 
+                                                {0.9974901960784314f, 0.9080784313725491f, 0.8658823529411764f}, 
+                                                {0.9974588235294117f, 0.9074196078431372f, 0.8649411764705882f}, 
+                                                {0.9974274509803922f, 0.9067607843137255f, 0.864f}, 
+                                                {0.9973960784313726f, 0.9061019607843137f, 0.8630588235294118f}, 
+                                                {0.9973647058823529f, 0.905443137254902f, 0.8621176470588234f}, 
+                                                {0.9973333333333333f, 0.9047843137254902f, 0.8611764705882352f}, 
+                                                {0.9973019607843138f, 0.9041254901960785f, 0.860235294117647f}, 
+                                                {0.9972705882352941f, 0.9034666666666666f, 0.8592941176470588f}, 
+                                                {0.9972392156862745f, 0.9028078431372549f, 0.8583529411764705f}, 
+                                                {0.9972078431372549f, 0.9021490196078431f, 0.8574117647058823f}, 
+                                                {0.9971764705882353f, 0.9014901960784314f, 0.8564705882352941f}, 
+                                                {0.9971450980392157f, 0.9008313725490196f, 0.8555294117647059f}, 
+                                                {0.9971137254901961f, 0.9001725490196079f, 0.8545882352941176f}, 
+                                                {0.9970823529411765f, 0.899513725490196f, 0.8536470588235294f}, 
+                                                {0.9970509803921569f, 0.8988549019607843f, 0.8527058823529412f}, 
+                                                {0.9970196078431373f, 0.8981960784313725f, 0.8517647058823529f}, 
+                                                {0.9969882352941176f, 0.8975372549019608f, 0.8508235294117646f}, 
+                                                {0.9969568627450981f, 0.896878431372549f, 0.8498823529411764f}, 
+                                                {0.9969254901960785f, 0.8962196078431373f, 0.8489411764705882f}, 
+                                                {0.9968941176470588f, 0.8955607843137254f, 0.848f}, 
+                                                {0.9968627450980392f, 0.8949019607843137f, 0.8470588235294118f}, 
+                                                {0.9968313725490197f, 0.894243137254902f, 0.8461176470588235f}, 
+                                                {0.9968f, 0.8935843137254902f, 0.8451764705882352f}, 
+                                                {0.9967686274509804f, 0.8929254901960784f, 0.844235294117647f}, 
+                                                {0.9967372549019607f, 0.8922666666666667f, 0.8432941176470587f}, 
+                                                {0.9967058823529412f, 0.8916078431372549f, 0.8423529411764705f}, 
+                                                {0.9966745098039216f, 0.8909490196078431f, 0.8414117647058823f}, 
+                                                {0.996643137254902f, 0.8902901960784314f, 0.8404705882352941f}, 
+                                                {0.9966117647058824f, 0.8896313725490196f, 0.8395294117647059f}, 
+                                                {0.9965803921568628f, 0.8889725490196079f, 0.8385882352941176f}, 
+                                                {0.9965490196078431f, 0.888313725490196f, 0.8376470588235294f}, 
+                                                {0.9965176470588235f, 0.8876549019607843f, 0.8367058823529412f}, 
+                                                {0.996486274509804f, 0.8869960784313725f, 0.8357647058823529f}, 
+                                                {0.9964549019607843f, 0.8863372549019608f, 0.8348235294117646f}, 
+                                                {0.9964235294117647f, 0.885678431372549f, 0.8338823529411764f}, 
+                                                {0.9963921568627451f, 0.8850196078431373f, 0.8329411764705882f}, 
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+                                                {0.6451137254901961f, 0.05835294117647059f, 0.08210196078431373f}, 
+                                                {0.6431686274509805f, 0.05788235294117647f, 0.08185098039215687f}, 
+                                                {0.6412235294117647f, 0.05741176470588235f, 0.08159999999999999f}, 
+                                                {0.639278431372549f, 0.05694117647058823f, 0.08134901960784313f}, 
+                                                {0.6373333333333333f, 0.05647058823529411f, 0.08109803921568627f}, 
+                                                {0.6353882352941177f, 0.055999999999999994f, 0.08084705882352941f}, 
+                                                {0.633443137254902f, 0.055529411764705876f, 0.08059607843137255f}, 
+                                                {0.6314980392156863f, 0.05505882352941176f, 0.08034509803921569f}, 
+                                                {0.6295529411764706f, 0.054588235294117646f, 0.08009411764705882f}, 
+                                                {0.6276078431372549f, 0.05411764705882353f, 0.07984313725490196f}, 
+                                                {0.6256627450980392f, 0.05364705882352941f, 0.0795921568627451f}, 
+                                                {0.6237176470588235f, 0.05317647058823529f, 0.07934117647058823f}, 
+                                                {0.6217725490196079f, 0.05270588235294117f, 0.07909019607843137f}, 
+                                                {0.6198274509803922f, 0.05223529411764705f, 0.0788392156862745f}, 
+                                                {0.6178823529411764f, 0.051764705882352935f, 0.07858823529411764f}, 
+                                                {0.6159372549019608f, 0.051294117647058816f, 0.07833725490196078f}, 
+                                                {0.6139921568627451f, 0.0508235294117647f, 0.07808627450980392f}, 
+                                                {0.6120470588235294f, 0.05035294117647058f, 0.07783529411764706f}, 
+                                                {0.6101019607843137f, 0.04988235294117646f, 0.07758431372549018f}, 
+                                                {0.6081568627450981f, 0.04941176470588234f, 0.07733333333333332f}, 
+                                                {0.6062117647058823f, 0.048941176470588224f, 0.07708235294117646f}, 
+                                                {0.6042666666666666f, 0.048470588235294106f, 0.0768313725490196f}, 
+                                                {0.602321568627451f, 0.04799999999999999f, 0.07658039215686274f}, 
+                                                {0.6003764705882353f, 0.047529411764705876f, 0.07632941176470588f}, 
+                                                {0.5984313725490196f, 0.04705882352941175f, 0.07607843137254901f}, 
+                                                {0.5964862745098038f, 0.04658823529411764f, 0.07582745098039215f}, 
+                                                {0.5945411764705882f, 0.04611764705882351f, 0.07557647058823529f}, 
+                                                {0.5925960784313725f, 0.0456470588235294f, 0.07532549019607843f}, 
+                                                {0.5906509803921568f, 0.04517647058823528f, 0.07507450980392157f}, 
+                                                {0.5887058823529412f, 0.044705882352941165f, 0.0748235294117647f}, 
+                                                {0.5867607843137255f, 0.044235294117647046f, 0.07457254901960783f}, 
+                                                {0.5848156862745097f, 0.04376470588235293f, 0.07432156862745097f}, 
+                                                {0.582870588235294f, 0.04329411764705881f, 0.07407058823529411f}, 
+                                                {0.5809254901960784f, 0.04282352941176469f, 0.07381960784313725f}, 
+                                                {0.5789803921568627f, 0.04235294117647057f, 0.07356862745098039f}, 
+                                                {0.577035294117647f, 0.041882352941176454f, 0.07331764705882352f}, 
+                                                {0.5750901960784314f, 0.041411764705882335f, 0.07306666666666665f}, 
+                                                {0.5731450980392157f, 0.04094117647058822f, 0.0728156862745098f}, 
+                                                {0.5711999999999999f, 0.040470588235294105f, 0.07256470588235293f}, 
+                                                {0.5692549019607842f, 0.03999999999999998f, 0.07231372549019607f}, 
+                                                {0.5673098039215686f, 0.03952941176470587f, 0.0720627450980392f}, 
+                                                {0.5653647058823529f, 0.03905882352941174f, 0.07181176470588234f}, 
+                                                {0.5634196078431372f, 0.03858823529411763f, 0.07156078431372548f}, 
+                                                {0.5614745098039216f, 0.038117647058823506f, 0.07130980392156862f}, 
+                                                {0.5595294117647058f, 0.037647058823529395f, 0.07105882352941176f}, 
+                                                {0.5575843137254901f, 0.03717647058823527f, 0.07080784313725488f}, 
+                                                {0.5556392156862744f, 0.03670588235294116f, 0.07055686274509802f}, 
+                                                {0.5536941176470588f, 0.03623529411764704f, 0.07030588235294116f}, 
+                                                {0.5517490196078431f, 0.03576470588235292f, 0.0700549019607843f}, 
+                                                {0.5498039215686273f, 0.0352941176470588f, 0.06980392156862744f}, 
+                                                {0.5478588235294117f, 0.034823529411764684f, 0.06955294117647058f}, 
+                                                {0.545913725490196f, 0.034352941176470565f, 0.06930196078431371f}, 
+                                                {0.5439686274509803f, 0.03388235294117645f, 0.06905098039215685f}, 
+                                                {0.5420235294117647f, 0.03341176470588233f, 0.06879999999999999f}, 
+                                                {0.540078431372549f, 0.03294117647058821f, 0.06854901960784313f}, 
+                                                {0.5381333333333332f, 0.0324705882352941f, 0.06829803921568627f}, 
+                                                {0.5361882352941176f, 0.03199999999999997f, 0.0680470588235294f}, 
+                                                {0.5342431372549019f, 0.03152941176470586f, 0.06779607843137253f}, 
+                                                {0.5322980392156862f, 0.03105882352941174f, 0.06754509803921567f}, 
+                                                {0.5303529411764705f, 0.03058823529411762f, 0.06729411764705881f}, 
+                                                {0.5284078431372549f, 0.030117647058823502f, 0.06704313725490195f}, 
+                                                {0.5264627450980391f, 0.029647058823529384f, 0.06679215686274509f}, 
+                                                {0.5245176470588234f, 0.02917647058823527f, 0.06654117647058821f}, 
+                                                {0.5225725490196078f, 0.02870588235294115f, 0.06629019607843135f}, 
+                                                {0.5206274509803921f, 0.028235294117647032f, 0.0660392156862745f}, 
+                                                {0.5186823529411764f, 0.027764705882352914f, 0.06578823529411763f}, 
+                                                {0.5167372549019607f, 0.027294117647058795f, 0.06553725490196077f}, 
+                                                {0.5147921568627449f, 0.026823529411764677f, 0.0652862745098039f}, 
+                                                {0.5128470588235293f, 0.026352941176470558f, 0.06503529411764704f}, 
+                                                {0.5109019607843136f, 0.02588235294117644f, 0.06478431372549018f}, 
+                                                {0.508956862745098f, 0.02541176470588232f, 0.06453333333333332f}, 
+                                                {0.5070117647058823f, 0.024941176470588203f, 0.06428235294117646f}, 
+                                                {0.5050666666666666f, 0.024470588235294084f, 0.06403137254901958f}, 
+                                                {0.5031215686274508f, 0.023999999999999966f, 0.06378039215686274f}, 
+                                                {0.5011764705882352f, 0.023529411764705847f, 0.06352941176470586f}, 
+                                                {0.4992313725490195f, 0.023058823529411736f, 0.063278431372549f}, 
+                                                {0.4972862745098038f, 0.022588235294117617f, 0.06302745098039214f}, 
+                                                {0.4953411764705881f, 0.0221176470588235f, 0.06277647058823528f}, 
+                                                {0.49339607843137245f, 0.02164705882352938f, 0.06252549019607842f}, 
+                                                {0.49145098039215673f, 0.021176470588235262f, 0.062274509803921546f}, 
+                                                {0.489505882352941f, 0.020705882352941143f, 0.062023529411764686f}, 
+                                                {0.4875607843137254f, 0.020235294117647025f, 0.061772549019607825f}, 
+                                                {0.4856156862745097f, 0.019764705882352906f, 0.061521568627450965f}, 
+                                                {0.48367058823529396f, 0.019294117647058788f, 0.0612705882352941f}, 
+                                                {0.4817254901960785f, 0.018823529411764725f, 0.06101960784313726f}, 
+                                                {0.47978039215686286f, 0.018352941176470607f, 0.0607686274509804f}, 
+                                                {0.47783529411764714f, 0.017882352941176488f, 0.06051764705882354f}, 
+                                                {0.4758901960784314f, 0.01741176470588237f, 0.06026666666666668f}, 
+                                                {0.47394509803921575f, 0.01694117647058825f, 0.060015686274509816f}, 
+                                                {0.4720000000000001f, 0.016470588235294133f, 0.05976470588235295f}, 
+                                                {0.47005490196078437f, 0.016000000000000014f, 0.05951372549019608f}, 
+                                                {0.4681098039215687f, 0.015529411764705896f, 0.05926274509803922f}, 
+                                                {0.46616470588235304f, 0.015058823529411777f, 0.05901176470588236f}, 
+                                                {0.4642196078431373f, 0.014588235294117659f, 0.0587607843137255f}, 
+                                                {0.4622745098039216f, 0.01411764705882354f, 0.05850980392156863f}, 
+                                                {0.460329411764706f, 0.013647058823529422f, 0.058258823529411766f}, 
+                                                {0.45838431372549027f, 0.013176470588235303f, 0.058007843137254905f}, 
+                                                {0.45643921568627455f, 0.012705882352941185f, 0.057756862745098045f}, 
+                                                {0.4544941176470589f, 0.012235294117647066f, 0.057505882352941184f}, 
+                                                {0.4525490196078432f, 0.011764705882352955f, 0.05725490196078432f}, 
+                                                {0.4506039215686275f, 0.011294117647058836f, 0.05700392156862746f}, 
+                                                {0.4486588235294118f, 0.010823529411764718f, 0.05675294117647059f}, 
+                                                {0.44671372549019617f, 0.0103529411764706f, 0.05650196078431373f}, 
+                                                {0.44476862745098045f, 0.009882352941176481f, 0.05625098039215687f}, 
+                                                {0.4428235294117647f, 0.009411764705882363f, 0.05600000000000001f}, 
+                                                {0.44087843137254906f, 0.008941176470588244f, 0.05574901960784314f}, 
+                                                {0.4389333333333334f, 0.008470588235294126f, 0.05549803921568627f}, 
+                                                {0.4369882352941177f, 0.008000000000000007f, 0.05524705882352941f}, 
+                                                {0.435043137254902f, 0.007529411764705889f, 0.05499607843137255f}, 
+                                                {0.43309803921568635f, 0.00705882352941177f, 0.05474509803921569f}, 
+                                                {0.4311529411764706f, 0.006588235294117652f, 0.054494117647058825f}, 
+                                                {0.4292078431372549f, 0.006117647058823533f, 0.054243137254901964f}, 
+                                                {0.42726274509803924f, 0.005647058823529415f, 0.0539921568627451f}, 
+                                                {0.4253176470588236f, 0.005176470588235296f, 0.05374117647058824f}, 
+                                                {0.42337254901960786f, 0.004705882352941178f, 0.053490196078431376f}, 
+                                                {0.4214274509803922f, 0.004235294117647059f, 0.053239215686274516f}, 
+                                                {0.41948235294117653f, 0.003764705882352948f, 0.05298823529411765f}, 
+                                                {0.4175372549019608f, 0.0032941176470588293f, 0.05273725490196078f}, 
+                                                {0.4155921568627451f, 0.002823529411764711f, 0.05248627450980392f}, 
+                                                {0.4136470588235294f, 0.0023529411764705924f, 0.05223529411764706f}, 
+                                                {0.41170196078431376f, 0.001882352941176474f, 0.0519843137254902f}, 
+                                                {0.40975686274509804f, 0.0014117647058823554f, 0.05173333333333333f}, 
+                                                {0.4078117647058824f, 0.000941176470588237f, 0.051482352941176465f}, 
+                                                {0.4058666666666667f, 0.0004705882352941185f, 0.051231372549019605f}, 
+                                                {0.403921568627451f, 0.f, 0.050980392156862744f}};
 
 /*(Table[Blend[
   Map[(RGBColor @@ # &), ({{255, 245, 240}, {254, 224, 210}, {252, 
   187, 161}, {252, 146, 114}, {251, 106, 74}}/255), {1}], 
   x/1000], {x, 0, 1000, 1.}] /. RGBColor -> List) >> /tmp/1
 */
-float palette_sequential_singlehue_red_lighter[1001][3]={{1., 0.9607843137254902, 0.9411764705882353}, 
-                                                        {0.9999843137254902, 0.9604549019607843, 0.9407058823529412}, 
-                                                        {0.9999686274509804, 0.9601254901960785, 0.9402352941176471}, 
-                                                        {0.9999529411764706, 0.9597960784313726, 0.939764705882353}, 
-                                                        {0.9999372549019608, 0.9594666666666667, 0.9392941176470588}, 
-                                                        {0.999921568627451, 0.9591372549019608, 0.9388235294117647}, 
-                                                        {0.9999058823529412, 0.958807843137255, 0.9383529411764706}, 
-                                                        {0.9998901960784313, 0.9584784313725491, 0.9378823529411765}, 
-                                                        {0.9998745098039216, 0.9581490196078432, 0.9374117647058824}, 
-                                                        {0.9998588235294118, 0.9578196078431372, 0.9369411764705882}, 
-                                                        {0.9998431372549019, 0.9574901960784314, 0.936470588235294}, 
-                                                        {0.9998274509803922, 0.9571607843137255, 0.9359999999999999}, 
-                                                        {0.9998117647058824, 0.9568313725490196, 0.9355294117647058}, 
-                                                        {0.9997960784313725, 0.9565019607843137, 0.9350588235294117}, 
-                                                        {0.9997803921568628, 0.9561725490196079, 0.9345882352941176}, 
-                                                        {0.9997647058823529, 0.955843137254902, 0.9341176470588235}, 
-                                                        {0.9997490196078431, 0.9555137254901961, 0.9336470588235294}, 
-                                                        {0.9997333333333334, 0.9551843137254902, 0.9331764705882353}, 
-                                                        {0.9997176470588235, 0.9548549019607844, 0.9327058823529412}, 
-                                                        {0.9997019607843137, 0.9545254901960785, 0.932235294117647}, 
-                                                        {0.999686274509804, 0.9541960784313726, 0.9317647058823529}, 
-                                                        {0.9996705882352941, 0.9538666666666666, 0.9312941176470588}, 
-                                                        {0.9996549019607843, 0.9535372549019608, 0.9308235294117647}, 
-                                                        {0.9996392156862746, 0.9532078431372549, 0.9303529411764706}, 
-                                                        {0.9996235294117647, 0.952878431372549, 0.9298823529411765}, 
-                                                        {0.9996078431372549, 0.9525490196078432, 0.9294117647058824}, 
-                                                        {0.999592156862745, 0.9522196078431373, 0.9289411764705883}, 
-                                                        {0.9995764705882353, 0.9518901960784314, 0.928470588235294}, 
-                                                        {0.9995607843137255, 0.9515607843137255, 0.9279999999999999}, 
-                                                        {0.9995450980392157, 0.9512313725490197, 0.9275294117647058}, 
-                                                        {0.9995294117647059, 0.9509019607843138, 0.9270588235294117}, 
-                                                        {0.9995137254901961, 0.9505725490196079, 0.9265882352941176}, 
-                                                        {0.9994980392156863, 0.950243137254902, 0.9261176470588235}, 
-                                                        {0.9994823529411765, 0.9499137254901961, 0.9256470588235294}, 
-                                                        {0.9994666666666666, 0.9495843137254902, 0.9251764705882353}, 
-                                                        {0.9994509803921569, 0.9492549019607843, 0.9247058823529412}, 
-                                                        {0.9994352941176471, 0.9489254901960784, 0.924235294117647}, 
-                                                        {0.9994196078431372, 0.9485960784313726, 0.9237647058823529}, 
-                                                        {0.9994039215686275, 0.9482666666666667, 0.9232941176470588}, 
-                                                        {0.9993882352941177, 0.9479372549019608, 0.9228235294117647}, 
-                                                        {0.9993725490196078, 0.9476078431372549, 0.9223529411764706}, 
-                                                        {0.999356862745098, 0.9472784313725491, 0.9218823529411765}, 
-                                                        {0.9993411764705883, 0.9469490196078432, 0.9214117647058824}, 
-                                                        {0.9993254901960784, 0.9466196078431373, 0.9209411764705883}, 
-                                                        {0.9993098039215687, 0.9462901960784313, 0.9204705882352942}, 
-                                                        {0.9992941176470588, 0.9459607843137255, 0.9199999999999999}, 
-                                                        {0.999278431372549, 0.9456313725490196, 0.9195294117647058}, 
-                                                        {0.9992627450980393, 0.9453019607843137, 0.9190588235294117}, 
-                                                        {0.9992470588235294, 0.9449725490196078, 0.9185882352941176}, 
-                                                        {0.9992313725490196, 0.944643137254902, 0.9181176470588235}, 
-                                                        {0.9992156862745099, 0.9443137254901961, 0.9176470588235294}, 
-                                                        {0.9992, 0.9439843137254902, 0.9171764705882353}, 
-                                                        {0.9991843137254902, 0.9436549019607843, 0.9167058823529411}, 
-                                                        {0.9991686274509803, 0.9433254901960785, 0.916235294117647}, 
-                                                        {0.9991529411764706, 0.9429960784313726, 0.9157647058823529}, 
-                                                        {0.9991372549019608, 0.9426666666666667, 0.9152941176470588}, 
-                                                        {0.9991215686274509, 0.9423372549019609, 0.9148235294117647}, 
-                                                        {0.9991058823529412, 0.9420078431372549, 0.9143529411764706}, 
-                                                        {0.9990901960784314, 0.941678431372549, 0.9138823529411765}, 
-                                                        {0.9990745098039215, 0.9413490196078431, 0.9134117647058824}, 
-                                                        {0.9990588235294118, 0.9410196078431373, 0.9129411764705883}, 
-                                                        {0.999043137254902, 0.9406901960784314, 0.9124705882352941}, 
-                                                        {0.9990274509803921, 0.9403607843137255, 0.912}, 
-                                                        {0.9990117647058824, 0.9400313725490196, 0.9115294117647058}, 
-                                                        {0.9989960784313725, 0.9397019607843138, 0.9110588235294117}, 
-                                                        {0.9989803921568627, 0.9393725490196079, 0.9105882352941176}, 
-                                                        {0.998964705882353, 0.939043137254902, 0.9101176470588235}, 
-                                                        {0.9989490196078431, 0.938713725490196, 0.9096470588235294}, 
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-                                                        {0.9859607843137255, 0.4815686274509804, 0.356078431372549}, 
-                                                        {0.9859450980392157, 0.4809411764705882, 0.3554509803921569}, 
-                                                        {0.9859294117647058, 0.4803137254901961, 0.3548235294117647}, 
-                                                        {0.9859137254901961, 0.4796862745098039, 0.3541960784313726}, 
-                                                        {0.9858980392156863, 0.47905882352941176, 0.3535686274509804}, 
-                                                        {0.9858823529411764, 0.4784313725490196, 0.35294117647058826}, 
-                                                        {0.9858666666666667, 0.47780392156862744, 0.3523137254901961}, 
-                                                        {0.9858509803921568, 0.4771764705882353, 0.35168627450980394}, 
-                                                        {0.985835294117647, 0.4765490196078431, 0.35105882352941176}, 
-                                                        {0.9858196078431373, 0.47592156862745094, 0.3504313725490196}, 
-                                                        {0.9858039215686274, 0.4752941176470588, 0.34980392156862744}, 
-                                                        {0.9857882352941176, 0.4746666666666667, 0.3491764705882353}, 
-                                                        {0.9857725490196079, 0.4740392156862745, 0.3485490196078431}, 
-                                                        {0.985756862745098, 0.4734117647058823, 0.347921568627451}, 
-                                                        {0.9857411764705882, 0.4727843137254902, 0.3472941176470588}, 
-                                                        {0.9857254901960784, 0.47215686274509805, 0.3466666666666667}, 
-                                                        {0.9857098039215686, 0.47152941176470586, 0.3460392156862745}, 
-                                                        {0.9856941176470588, 0.4709019607843137, 0.34541176470588236}, 
-                                                        {0.985678431372549, 0.47027450980392155, 0.34478431372549023}, 
-                                                        {0.9856627450980392, 0.4696470588235294, 0.34415686274509805}, 
-                                                        {0.9856470588235294, 0.46901960784313723, 0.34352941176470586}, 
-                                                        {0.9856313725490196, 0.46839215686274505, 0.34290196078431373}, 
-                                                        {0.9856156862745098, 0.4677647058823529, 0.3422745098039216}, 
-                                                        {0.9856, 0.4671372549019608, 0.3416470588235294}, 
-                                                        {0.9855843137254902, 0.4665098039215686, 0.34101960784313723}, 
-                                                        {0.9855686274509804, 0.46588235294117647, 0.3403921568627451}, 
-                                                        {0.9855529411764705, 0.4652549019607843, 0.33976470588235297}, 
-                                                        {0.9855372549019608, 0.46462745098039215, 0.3391372549019608}, 
-                                                        {0.985521568627451, 0.46399999999999997, 0.3385098039215686}, 
-                                                        {0.9855058823529411, 0.46337254901960784, 0.33788235294117647}, 
-                                                        {0.9854901960784314, 0.46274509803921565, 0.33725490196078434}, 
-                                                        {0.9854745098039216, 0.4621176470588235, 0.33662745098039215}, 
-                                                        {0.9854588235294117, 0.46149019607843134, 0.33599999999999997}, 
-                                                        {0.985443137254902, 0.4608627450980392, 0.33537254901960784}, 
-                                                        {0.9854274509803921, 0.460235294117647, 0.3347450980392157}, 
-                                                        {0.9854117647058823, 0.4596078431372549, 0.3341176470588235}, 
-                                                        {0.9853960784313726, 0.4589803921568627, 0.33349019607843133}, 
-                                                        {0.9853803921568627, 0.4583529411764706, 0.3328627450980392}, 
-                                                        {0.9853647058823529, 0.4577254901960784, 0.3322352941176471}, 
-                                                        {0.9853490196078432, 0.45709803921568626, 0.3316078431372549}, 
-                                                        {0.9853333333333333, 0.4564705882352941, 0.3309803921568627}, 
-                                                        {0.9853176470588235, 0.45584313725490194, 0.33035294117647057}, 
-                                                        {0.9853019607843136, 0.45521568627450976, 0.32972549019607844}, 
-                                                        {0.9852862745098039, 0.4545882352941176, 0.32909803921568626}, 
-                                                        {0.9852705882352941, 0.45396078431372544, 0.3284705882352941}, 
-                                                        {0.9852549019607842, 0.4533333333333333, 0.32784313725490194}, 
-                                                        {0.9852392156862745, 0.4527058823529412, 0.3272156862745098}, 
-                                                        {0.9852235294117647, 0.452078431372549, 0.3265882352941176}, 
-                                                        {0.9852078431372548, 0.4514509803921568, 0.3259607843137255}, 
-                                                        {0.9851921568627451, 0.4508235294117647, 0.3253333333333333}, 
-                                                        {0.9851764705882352, 0.45019607843137255, 0.3247058823529412}, 
-                                                        {0.9851607843137254, 0.44956862745098036, 0.324078431372549}, 
-                                                        {0.9851450980392157, 0.4489411764705882, 0.32345098039215686}, 
-                                                        {0.9851294117647058, 0.44831372549019605, 0.3228235294117647}, 
-                                                        {0.985113725490196, 0.4476862745098039, 0.32219607843137255}, 
-                                                        {0.9850980392156863, 0.44705882352941173, 0.32156862745098036}, 
-                                                        {0.9850823529411764, 0.44643137254901955, 0.32094117647058823}, 
-                                                        {0.9850666666666666, 0.4458039215686274, 0.3203137254901961}, 
-                                                        {0.9850509803921568, 0.4451764705882353, 0.3196862745098039}, 
-                                                        {0.985035294117647, 0.4445490196078431, 0.31905882352941173}, 
-                                                        {0.9850196078431372, 0.4439215686274509, 0.3184313725490196}, 
-                                                        {0.9850039215686274, 0.4432941176470588, 0.31780392156862747}, 
-                                                        {0.9849882352941176, 0.44266666666666665, 0.3171764705882353}, 
-                                                        {0.9849725490196078, 0.44203921568627447, 0.3165490196078431}, 
-                                                        {0.984956862745098, 0.4414117647058823, 0.31592156862745097}, 
-                                                        {0.9849411764705882, 0.4407843137254902, 0.31529411764705884}, 
-                                                        {0.9849254901960784, 0.4401568627450981, 0.3146666666666667}, 
-                                                        {0.9849098039215686, 0.43952941176470595, 0.3140392156862746}, 
-                                                        {0.9848941176470588, 0.43890196078431376, 0.3134117647058824}, 
-                                                        {0.9848784313725489, 0.4382745098039216, 0.3127843137254902}, 
-                                                        {0.9848627450980392, 0.43764705882352944, 0.3121568627450981}, 
-                                                        {0.9848470588235294, 0.4370196078431373, 0.31152941176470594}, 
-                                                        {0.9848313725490195, 0.43639215686274513, 0.31090196078431376}, 
-                                                        {0.9848156862745098, 0.43576470588235294, 0.31027450980392157}, 
-                                                        {0.9848, 0.4351372549019608, 0.30964705882352944}, 
-                                                        {0.9847843137254901, 0.4345098039215687, 0.3090196078431373}, 
-                                                        {0.9847686274509804, 0.4338823529411765, 0.3083921568627451}, 
-                                                        {0.9847529411764705, 0.4332549019607843, 0.30776470588235294}, 
-                                                        {0.9847372549019607, 0.4326274509803922, 0.3071372549019608}, 
-                                                        {0.984721568627451, 0.43200000000000005, 0.3065098039215687}, 
-                                                        {0.9847058823529411, 0.43137254901960786, 0.3058823529411765}, 
-                                                        {0.9846901960784313, 0.4307450980392157, 0.30525490196078436}, 
-                                                        {0.9846745098039216, 0.43011764705882355, 0.30462745098039223}, 
-                                                        {0.9846588235294117, 0.4294901960784314, 0.30400000000000005}, 
-                                                        {0.9846431372549019, 0.42886274509803923, 0.30337254901960786}, 
-                                                        {0.9846274509803921, 0.42823529411764705, 0.30274509803921573}, 
-                                                        {0.9846117647058823, 0.4276078431372549, 0.3021176470588236}, 
-                                                        {0.9845960784313725, 0.4269803921568628, 0.3014901960784314}, 
-                                                        {0.9845803921568627, 0.4263529411764706, 0.30086274509803923}, 
-                                                        {0.9845647058823529, 0.42572549019607847, 0.3002352941176471}, 
-                                                        {0.9845490196078431, 0.42509803921568634, 0.29960784313725497}, 
-                                                        {0.9845333333333333, 0.42447058823529416, 0.2989803921568628}, 
-                                                        {0.9845176470588235, 0.42384313725490197, 0.2983529411764706}, 
-                                                        {0.9845019607843136, 0.42321568627450984, 0.29772549019607847}, 
-                                                        {0.9844862745098039, 0.4225882352941177, 0.29709803921568634}, 
-                                                        {0.9844705882352941, 0.4219607843137255, 0.29647058823529415}, 
-                                                        {0.9844549019607842, 0.42133333333333334, 0.29584313725490197}, 
-                                                        {0.9844392156862745, 0.4207058823529412, 0.29521568627450984}, 
-                                                        {0.9844235294117647, 0.4200784313725491, 0.2945882352941177}, 
-                                                        {0.9844078431372548, 0.4194509803921569, 0.2939607843137255}, 
-                                                        {0.9843921568627451, 0.4188235294117647, 0.29333333333333333}, 
-                                                        {0.9843764705882352, 0.4181960784313726, 0.2927058823529412}, 
-                                                        {0.9843607843137254, 0.41756862745098045, 0.2920784313725491}, 
-                                                        {0.9843450980392157, 0.41694117647058826, 0.2914509803921569}, 
-                                                        {0.9843294117647058, 0.4163137254901961, 0.2908235294117647}, 
-                                                        {0.984313725490196, 0.41568627450980394, 0.2901960784313726}};
+float palette_sequential_singlehue_red_lighter[1001][3]={{1.f, 0.9607843137254902f, 0.9411764705882353f}, 
+                                                        {0.9999843137254902f, 0.9604549019607843f, 0.9407058823529412f}, 
+                                                        {0.9999686274509804f, 0.9601254901960785f, 0.9402352941176471f}, 
+                                                        {0.9999529411764706f, 0.9597960784313726f, 0.939764705882353f}, 
+                                                        {0.9999372549019608f, 0.9594666666666667f, 0.9392941176470588f}, 
+                                                        {0.999921568627451f, 0.9591372549019608f, 0.9388235294117647f}, 
+                                                        {0.9999058823529412f, 0.958807843137255f, 0.9383529411764706f}, 
+                                                        {0.9998901960784313f, 0.9584784313725491f, 0.9378823529411765f}, 
+                                                        {0.9998745098039216f, 0.9581490196078432f, 0.9374117647058824f}, 
+                                                        {0.9998588235294118f, 0.9578196078431372f, 0.9369411764705882f}, 
+                                                        {0.9998431372549019f, 0.9574901960784314f, 0.936470588235294f}, 
+                                                        {0.9998274509803922f, 0.9571607843137255f, 0.9359999999999999f}, 
+                                                        {0.9998117647058824f, 0.9568313725490196f, 0.9355294117647058f}, 
+                                                        {0.9997960784313725f, 0.9565019607843137f, 0.9350588235294117f}, 
+                                                        {0.9997803921568628f, 0.9561725490196079f, 0.9345882352941176f}, 
+                                                        {0.9997647058823529f, 0.955843137254902f, 0.9341176470588235f}, 
+                                                        {0.9997490196078431f, 0.9555137254901961f, 0.9336470588235294f}, 
+                                                        {0.9997333333333334f, 0.9551843137254902f, 0.9331764705882353f}, 
+                                                        {0.9997176470588235f, 0.9548549019607844f, 0.9327058823529412f}, 
+                                                        {0.9997019607843137f, 0.9545254901960785f, 0.932235294117647f}, 
+                                                        {0.999686274509804f, 0.9541960784313726f, 0.9317647058823529f}, 
+                                                        {0.9996705882352941f, 0.9538666666666666f, 0.9312941176470588f}, 
+                                                        {0.9996549019607843f, 0.9535372549019608f, 0.9308235294117647f}, 
+                                                        {0.9996392156862746f, 0.9532078431372549f, 0.9303529411764706f}, 
+                                                        {0.9996235294117647f, 0.952878431372549f, 0.9298823529411765f}, 
+                                                        {0.9996078431372549f, 0.9525490196078432f, 0.9294117647058824f}, 
+                                                        {0.999592156862745f, 0.9522196078431373f, 0.9289411764705883f}, 
+                                                        {0.9995764705882353f, 0.9518901960784314f, 0.928470588235294f}, 
+                                                        {0.9995607843137255f, 0.9515607843137255f, 0.9279999999999999f}, 
+                                                        {0.9995450980392157f, 0.9512313725490197f, 0.9275294117647058f}, 
+                                                        {0.9995294117647059f, 0.9509019607843138f, 0.9270588235294117f}, 
+                                                        {0.9995137254901961f, 0.9505725490196079f, 0.9265882352941176f}, 
+                                                        {0.9994980392156863f, 0.950243137254902f, 0.9261176470588235f}, 
+                                                        {0.9994823529411765f, 0.9499137254901961f, 0.9256470588235294f}, 
+                                                        {0.9994666666666666f, 0.9495843137254902f, 0.9251764705882353f}, 
+                                                        {0.9994509803921569f, 0.9492549019607843f, 0.9247058823529412f}, 
+                                                        {0.9994352941176471f, 0.9489254901960784f, 0.924235294117647f}, 
+                                                        {0.9994196078431372f, 0.9485960784313726f, 0.9237647058823529f}, 
+                                                        {0.9994039215686275f, 0.9482666666666667f, 0.9232941176470588f}, 
+                                                        {0.9993882352941177f, 0.9479372549019608f, 0.9228235294117647f}, 
+                                                        {0.9993725490196078f, 0.9476078431372549f, 0.9223529411764706f}, 
+                                                        {0.999356862745098f, 0.9472784313725491f, 0.9218823529411765f}, 
+                                                        {0.9993411764705883f, 0.9469490196078432f, 0.9214117647058824f}, 
+                                                        {0.9993254901960784f, 0.9466196078431373f, 0.9209411764705883f}, 
+                                                        {0.9993098039215687f, 0.9462901960784313f, 0.9204705882352942f}, 
+                                                        {0.9992941176470588f, 0.9459607843137255f, 0.9199999999999999f}, 
+                                                        {0.999278431372549f, 0.9456313725490196f, 0.9195294117647058f}, 
+                                                        {0.9992627450980393f, 0.9453019607843137f, 0.9190588235294117f}, 
+                                                        {0.9992470588235294f, 0.9449725490196078f, 0.9185882352941176f}, 
+                                                        {0.9992313725490196f, 0.944643137254902f, 0.9181176470588235f}, 
+                                                        {0.9992156862745099f, 0.9443137254901961f, 0.9176470588235294f}, 
+                                                        {0.9992f, 0.9439843137254902f, 0.9171764705882353f}, 
+                                                        {0.9991843137254902f, 0.9436549019607843f, 0.9167058823529411f}, 
+                                                        {0.9991686274509803f, 0.9433254901960785f, 0.916235294117647f}, 
+                                                        {0.9991529411764706f, 0.9429960784313726f, 0.9157647058823529f}, 
+                                                        {0.9991372549019608f, 0.9426666666666667f, 0.9152941176470588f}, 
+                                                        {0.9991215686274509f, 0.9423372549019609f, 0.9148235294117647f}, 
+                                                        {0.9991058823529412f, 0.9420078431372549f, 0.9143529411764706f}, 
+                                                        {0.9990901960784314f, 0.941678431372549f, 0.9138823529411765f}, 
+                                                        {0.9990745098039215f, 0.9413490196078431f, 0.9134117647058824f}, 
+                                                        {0.9990588235294118f, 0.9410196078431373f, 0.9129411764705883f}, 
+                                                        {0.999043137254902f, 0.9406901960784314f, 0.9124705882352941f}, 
+                                                        {0.9990274509803921f, 0.9403607843137255f, 0.912f}, 
+                                                        {0.9990117647058824f, 0.9400313725490196f, 0.9115294117647058f}, 
+                                                        {0.9989960784313725f, 0.9397019607843138f, 0.9110588235294117f}, 
+                                                        {0.9989803921568627f, 0.9393725490196079f, 0.9105882352941176f}, 
+                                                        {0.998964705882353f, 0.939043137254902f, 0.9101176470588235f}, 
+                                                        {0.9989490196078431f, 0.938713725490196f, 0.9096470588235294f}, 
+                                                        {0.9989333333333333f, 0.9383843137254902f, 0.9091764705882353f}, 
+                                                        {0.9989176470588236f, 0.9380549019607843f, 0.9087058823529411f}, 
+                                                        {0.9989019607843137f, 0.9377254901960784f, 0.908235294117647f}, 
+                                                        {0.9988862745098039f, 0.9373960784313725f, 0.9077647058823529f}, 
+                                                        {0.9988705882352942f, 0.9370666666666667f, 0.9072941176470588f}, 
+                                                        {0.9988549019607843f, 0.9367372549019608f, 0.9068235294117647f}, 
+                                                        {0.9988392156862745f, 0.9364078431372549f, 0.9063529411764706f}, 
+                                                        {0.9988235294117647f, 0.936078431372549f, 0.9058823529411765f}, 
+                                                        {0.9988078431372549f, 0.9357490196078432f, 0.9054117647058824f}, 
+                                                        {0.9987921568627451f, 0.9354196078431373f, 0.9049411764705882f}, 
+                                                        {0.9987764705882353f, 0.9350901960784314f, 0.9044705882352941f}, 
+                                                        {0.9987607843137255f, 0.9347607843137256f, 0.904f}, 
+                                                        {0.9987450980392157f, 0.9344313725490196f, 0.9035294117647059f}, 
+                                                        {0.9987294117647059f, 0.9341019607843137f, 0.9030588235294117f}, 
+                                                        {0.9987137254901961f, 0.9337725490196078f, 0.9025882352941176f}, 
+                                                        {0.9986980392156862f, 0.933443137254902f, 0.9021176470588235f}, 
+                                                        {0.9986823529411765f, 0.9331137254901961f, 0.9016470588235294f}, 
+                                                        {0.9986666666666667f, 0.9327843137254902f, 0.9011764705882352f}, 
+                                                        {0.9986509803921568f, 0.9324549019607843f, 0.9007058823529411f}, 
+                                                        {0.9986352941176471f, 0.9321254901960785f, 0.900235294117647f}, 
+                                                        {0.9986196078431373f, 0.9317960784313726f, 0.8997647058823529f}, 
+                                                        {0.9986039215686274f, 0.9314666666666667f, 0.8992941176470588f}, 
+                                                        {0.9985882352941177f, 0.9311372549019608f, 0.8988235294117647f}, 
+                                                        {0.9985725490196079f, 0.930807843137255f, 0.8983529411764706f}, 
+                                                        {0.998556862745098f, 0.930478431372549f, 0.8978823529411765f}, 
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+                                                        {0.9865098039215686f, 0.5035294117647059f, 0.3780392156862745f}, 
+                                                        {0.9864941176470589f, 0.5029019607843137f, 0.3774117647058824f}, 
+                                                        {0.986478431372549f, 0.5022745098039215f, 0.3767843137254902f}, 
+                                                        {0.9864627450980392f, 0.5016470588235294f, 0.3761568627450981f}, 
+                                                        {0.9864470588235295f, 0.5010196078431373f, 0.3755294117647059f}, 
+                                                        {0.9864313725490196f, 0.5003921568627451f, 0.37490196078431376f}, 
+                                                        {0.9864156862745098f, 0.49976470588235294f, 0.37427450980392163f}, 
+                                                        {0.9863999999999999f, 0.4991372549019608f, 0.37364705882352944f}, 
+                                                        {0.9863843137254902f, 0.49850980392156863f, 0.37301960784313726f}, 
+                                                        {0.9863686274509804f, 0.49788235294117644f, 0.3723921568627451f}, 
+                                                        {0.9863529411764705f, 0.4972549019607843f, 0.371764705882353f}, 
+                                                        {0.9863372549019608f, 0.4966274509803922f, 0.3711372549019608f}, 
+                                                        {0.986321568627451f, 0.496f, 0.3705098039215686f}, 
+                                                        {0.9863058823529411f, 0.4953725490196078f, 0.3698823529411765f}, 
+                                                        {0.9862901960784314f, 0.4947450980392157f, 0.36925490196078437f}, 
+                                                        {0.9862745098039216f, 0.49411764705882355f, 0.3686274509803922f}, 
+                                                        {0.9862588235294117f, 0.49349019607843136f, 0.368f}, 
+                                                        {0.986243137254902f, 0.4928627450980392f, 0.36737254901960786f}, 
+                                                        {0.9862274509803921f, 0.49223529411764705f, 0.36674509803921573f}, 
+                                                        {0.9862117647058823f, 0.4916078431372549f, 0.36611764705882355f}, 
+                                                        {0.9861960784313726f, 0.49098039215686273f, 0.36549019607843136f}, 
+                                                        {0.9861803921568627f, 0.49035294117647055f, 0.36486274509803923f}, 
+                                                        {0.9861647058823529f, 0.4897254901960784f, 0.3642352941176471f}, 
+                                                        {0.9861490196078432f, 0.4890980392156863f, 0.3636078431372549f}, 
+                                                        {0.9861333333333333f, 0.4884705882352941f, 0.36298039215686273f}, 
+                                                        {0.9861176470588235f, 0.48784313725490197f, 0.3623529411764706f}, 
+                                                        {0.9861019607843137f, 0.4872156862745098f, 0.36172549019607847f}, 
+                                                        {0.9860862745098039f, 0.48658823529411765f, 0.3610980392156863f}, 
+                                                        {0.9860705882352941f, 0.48596078431372547f, 0.36047058823529415f}, 
+                                                        {0.9860549019607843f, 0.48533333333333334f, 0.35984313725490197f}, 
+                                                        {0.9860392156862745f, 0.48470588235294115f, 0.35921568627450984f}, 
+                                                        {0.9860235294117647f, 0.484078431372549f, 0.35858823529411765f}, 
+                                                        {0.9860078431372549f, 0.48345098039215684f, 0.3579607843137255f}, 
+                                                        {0.9859921568627451f, 0.4828235294117647f, 0.35733333333333334f}, 
+                                                        {0.9859764705882352f, 0.4821960784313725f, 0.3567058823529412f}, 
+                                                        {0.9859607843137255f, 0.4815686274509804f, 0.356078431372549f}, 
+                                                        {0.9859450980392157f, 0.4809411764705882f, 0.3554509803921569f}, 
+                                                        {0.9859294117647058f, 0.4803137254901961f, 0.3548235294117647f}, 
+                                                        {0.9859137254901961f, 0.4796862745098039f, 0.3541960784313726f}, 
+                                                        {0.9858980392156863f, 0.47905882352941176f, 0.3535686274509804f}, 
+                                                        {0.9858823529411764f, 0.4784313725490196f, 0.35294117647058826f}, 
+                                                        {0.9858666666666667f, 0.47780392156862744f, 0.3523137254901961f}, 
+                                                        {0.9858509803921568f, 0.4771764705882353f, 0.35168627450980394f}, 
+                                                        {0.985835294117647f, 0.4765490196078431f, 0.35105882352941176f}, 
+                                                        {0.9858196078431373f, 0.47592156862745094f, 0.3504313725490196f}, 
+                                                        {0.9858039215686274f, 0.4752941176470588f, 0.34980392156862744f}, 
+                                                        {0.9857882352941176f, 0.4746666666666667f, 0.3491764705882353f}, 
+                                                        {0.9857725490196079f, 0.4740392156862745f, 0.3485490196078431f}, 
+                                                        {0.985756862745098f, 0.4734117647058823f, 0.347921568627451f}, 
+                                                        {0.9857411764705882f, 0.4727843137254902f, 0.3472941176470588f}, 
+                                                        {0.9857254901960784f, 0.47215686274509805f, 0.3466666666666667f}, 
+                                                        {0.9857098039215686f, 0.47152941176470586f, 0.3460392156862745f}, 
+                                                        {0.9856941176470588f, 0.4709019607843137f, 0.34541176470588236f}, 
+                                                        {0.985678431372549f, 0.47027450980392155f, 0.34478431372549023f}, 
+                                                        {0.9856627450980392f, 0.4696470588235294f, 0.34415686274509805f}, 
+                                                        {0.9856470588235294f, 0.46901960784313723f, 0.34352941176470586f}, 
+                                                        {0.9856313725490196f, 0.46839215686274505f, 0.34290196078431373f}, 
+                                                        {0.9856156862745098f, 0.4677647058823529f, 0.3422745098039216f}, 
+                                                        {0.9856f, 0.4671372549019608f, 0.3416470588235294f}, 
+                                                        {0.9855843137254902f, 0.4665098039215686f, 0.34101960784313723f}, 
+                                                        {0.9855686274509804f, 0.46588235294117647f, 0.3403921568627451f}, 
+                                                        {0.9855529411764705f, 0.4652549019607843f, 0.33976470588235297f}, 
+                                                        {0.9855372549019608f, 0.46462745098039215f, 0.3391372549019608f}, 
+                                                        {0.985521568627451f, 0.46399999999999997f, 0.3385098039215686f}, 
+                                                        {0.9855058823529411f, 0.46337254901960784f, 0.33788235294117647f}, 
+                                                        {0.9854901960784314f, 0.46274509803921565f, 0.33725490196078434f}, 
+                                                        {0.9854745098039216f, 0.4621176470588235f, 0.33662745098039215f}, 
+                                                        {0.9854588235294117f, 0.46149019607843134f, 0.33599999999999997f}, 
+                                                        {0.985443137254902f, 0.4608627450980392f, 0.33537254901960784f}, 
+                                                        {0.9854274509803921f, 0.460235294117647f, 0.3347450980392157f}, 
+                                                        {0.9854117647058823f, 0.4596078431372549f, 0.3341176470588235f}, 
+                                                        {0.9853960784313726f, 0.4589803921568627f, 0.33349019607843133f}, 
+                                                        {0.9853803921568627f, 0.4583529411764706f, 0.3328627450980392f}, 
+                                                        {0.9853647058823529f, 0.4577254901960784f, 0.3322352941176471f}, 
+                                                        {0.9853490196078432f, 0.45709803921568626f, 0.3316078431372549f}, 
+                                                        {0.9853333333333333f, 0.4564705882352941f, 0.3309803921568627f}, 
+                                                        {0.9853176470588235f, 0.45584313725490194f, 0.33035294117647057f}, 
+                                                        {0.9853019607843136f, 0.45521568627450976f, 0.32972549019607844f}, 
+                                                        {0.9852862745098039f, 0.4545882352941176f, 0.32909803921568626f}, 
+                                                        {0.9852705882352941f, 0.45396078431372544f, 0.3284705882352941f}, 
+                                                        {0.9852549019607842f, 0.4533333333333333f, 0.32784313725490194f}, 
+                                                        {0.9852392156862745f, 0.4527058823529412f, 0.3272156862745098f}, 
+                                                        {0.9852235294117647f, 0.452078431372549f, 0.3265882352941176f}, 
+                                                        {0.9852078431372548f, 0.4514509803921568f, 0.3259607843137255f}, 
+                                                        {0.9851921568627451f, 0.4508235294117647f, 0.3253333333333333f}, 
+                                                        {0.9851764705882352f, 0.45019607843137255f, 0.3247058823529412f}, 
+                                                        {0.9851607843137254f, 0.44956862745098036f, 0.324078431372549f}, 
+                                                        {0.9851450980392157f, 0.4489411764705882f, 0.32345098039215686f}, 
+                                                        {0.9851294117647058f, 0.44831372549019605f, 0.3228235294117647f}, 
+                                                        {0.985113725490196f, 0.4476862745098039f, 0.32219607843137255f}, 
+                                                        {0.9850980392156863f, 0.44705882352941173f, 0.32156862745098036f}, 
+                                                        {0.9850823529411764f, 0.44643137254901955f, 0.32094117647058823f}, 
+                                                        {0.9850666666666666f, 0.4458039215686274f, 0.3203137254901961f}, 
+                                                        {0.9850509803921568f, 0.4451764705882353f, 0.3196862745098039f}, 
+                                                        {0.985035294117647f, 0.4445490196078431f, 0.31905882352941173f}, 
+                                                        {0.9850196078431372f, 0.4439215686274509f, 0.3184313725490196f}, 
+                                                        {0.9850039215686274f, 0.4432941176470588f, 0.31780392156862747f}, 
+                                                        {0.9849882352941176f, 0.44266666666666665f, 0.3171764705882353f}, 
+                                                        {0.9849725490196078f, 0.44203921568627447f, 0.3165490196078431f}, 
+                                                        {0.984956862745098f, 0.4414117647058823f, 0.31592156862745097f}, 
+                                                        {0.9849411764705882f, 0.4407843137254902f, 0.31529411764705884f}, 
+                                                        {0.9849254901960784f, 0.4401568627450981f, 0.3146666666666667f}, 
+                                                        {0.9849098039215686f, 0.43952941176470595f, 0.3140392156862746f}, 
+                                                        {0.9848941176470588f, 0.43890196078431376f, 0.3134117647058824f}, 
+                                                        {0.9848784313725489f, 0.4382745098039216f, 0.3127843137254902f}, 
+                                                        {0.9848627450980392f, 0.43764705882352944f, 0.3121568627450981f}, 
+                                                        {0.9848470588235294f, 0.4370196078431373f, 0.31152941176470594f}, 
+                                                        {0.9848313725490195f, 0.43639215686274513f, 0.31090196078431376f}, 
+                                                        {0.9848156862745098f, 0.43576470588235294f, 0.31027450980392157f}, 
+                                                        {0.9848f, 0.4351372549019608f, 0.30964705882352944f}, 
+                                                        {0.9847843137254901f, 0.4345098039215687f, 0.3090196078431373f}, 
+                                                        {0.9847686274509804f, 0.4338823529411765f, 0.3083921568627451f}, 
+                                                        {0.9847529411764705f, 0.4332549019607843f, 0.30776470588235294f}, 
+                                                        {0.9847372549019607f, 0.4326274509803922f, 0.3071372549019608f}, 
+                                                        {0.984721568627451f, 0.43200000000000005f, 0.3065098039215687f}, 
+                                                        {0.9847058823529411f, 0.43137254901960786f, 0.3058823529411765f}, 
+                                                        {0.9846901960784313f, 0.4307450980392157f, 0.30525490196078436f}, 
+                                                        {0.9846745098039216f, 0.43011764705882355f, 0.30462745098039223f}, 
+                                                        {0.9846588235294117f, 0.4294901960784314f, 0.30400000000000005f}, 
+                                                        {0.9846431372549019f, 0.42886274509803923f, 0.30337254901960786f}, 
+                                                        {0.9846274509803921f, 0.42823529411764705f, 0.30274509803921573f}, 
+                                                        {0.9846117647058823f, 0.4276078431372549f, 0.3021176470588236f}, 
+                                                        {0.9845960784313725f, 0.4269803921568628f, 0.3014901960784314f}, 
+                                                        {0.9845803921568627f, 0.4263529411764706f, 0.30086274509803923f}, 
+                                                        {0.9845647058823529f, 0.42572549019607847f, 0.3002352941176471f}, 
+                                                        {0.9845490196078431f, 0.42509803921568634f, 0.29960784313725497f}, 
+                                                        {0.9845333333333333f, 0.42447058823529416f, 0.2989803921568628f}, 
+                                                        {0.9845176470588235f, 0.42384313725490197f, 0.2983529411764706f}, 
+                                                        {0.9845019607843136f, 0.42321568627450984f, 0.29772549019607847f}, 
+                                                        {0.9844862745098039f, 0.4225882352941177f, 0.29709803921568634f}, 
+                                                        {0.9844705882352941f, 0.4219607843137255f, 0.29647058823529415f}, 
+                                                        {0.9844549019607842f, 0.42133333333333334f, 0.29584313725490197f}, 
+                                                        {0.9844392156862745f, 0.4207058823529412f, 0.29521568627450984f}, 
+                                                        {0.9844235294117647f, 0.4200784313725491f, 0.2945882352941177f}, 
+                                                        {0.9844078431372548f, 0.4194509803921569f, 0.2939607843137255f}, 
+                                                        {0.9843921568627451f, 0.4188235294117647f, 0.29333333333333333f}, 
+                                                        {0.9843764705882352f, 0.4181960784313726f, 0.2927058823529412f}, 
+                                                        {0.9843607843137254f, 0.41756862745098045f, 0.2920784313725491f}, 
+                                                        {0.9843450980392157f, 0.41694117647058826f, 0.2914509803921569f}, 
+                                                        {0.9843294117647058f, 0.4163137254901961f, 0.2908235294117647f}, 
+                                                        {0.984313725490196f, 0.41568627450980394f, 0.2901960784313726f}};
 
 /*
   Map[List @@ # &, 
@@ -6530,1019 +6530,1019 @@ float palette_sequential_singlehue_red_lighter[1001][3]={{1., 0.9607843137254902
   128, 128}}], i/1001], {i, 0, 1000}]] >> /tmp/111
 */
 
-float palette_adam_blend[1001][3]={{1., 0.44705882352941173, 0.}, 
-                                  {0.9996082349023525, 0.4472547060782355,   0.0009010597245891363}, 
-                                  {0.9992164698047051, 0.44745058862705916,   0.0018021194491782725}, 
-                                  {0.9988247047070576, 0.4476464711758829,   0.002703179173767409}, 
-                                  {0.9984329396094102, 0.44784235372470665,   0.003604238898356545}, 
-                                  {0.9980411745117628, 0.44803823627353034,   0.004505298622945682}, 
-                                  {0.9976494094141153, 0.4482341188223541,   0.005406358347534818}, 
-                                  {0.9972576443164678, 0.44843000137117783,   0.006307418072123954}, 
-                                  {0.9968658792188204, 0.4486258839200015,   0.00720847779671309}, 
-                                  {0.9964741141211729, 0.44882176646882527,   0.008109537521302227}, 
-                                  {0.9960823490235255, 0.449017649017649,   0.009010597245891363}, 
-                                  {0.9956905839258781, 0.4492135315664727,   0.0099116569704805}, 
-                                  {0.9952988188282306, 0.44940941411529645,   0.010812716695069636}, 
-                                  {0.9949070537305832, 0.4496052966641202,   0.011713776419658772}, 
-                                  {0.9945152886329357, 0.4498011792129439,   0.012614836144247908}, 
-                                  {0.9941235235352882, 0.4499970617617676,   0.013515895868837044}, 
-                                  {0.9937317584376408, 0.4501929443105913,   0.01441695559342618}, 
-                                  {0.9933399933399933, 0.45038882685941506,   0.015318015318015318}, 
-                                  {0.9929482282423459, 0.4505847094082388,   0.016219075042604454}, 
-                                  {0.9925564631446985, 0.4507805919570625,   0.01712013476719359}, 
-                                  {0.992164698047051, 0.45097647450588624,   0.018021194491782726}, 
-                                  {0.9917729329494035, 0.45117235705471,   0.01892225421637186}, 
-                                  {0.9913811678517561, 0.45136823960353367,   0.019823313940961}, 
-                                  {0.9909894027541086, 0.4515641221523574,   0.020724373665550133}, 
-                                  {0.9905976376564611, 0.45176000470118116,   0.02162543339013927}, 
-                                  {0.9902058725588138, 0.45195588725000485,   0.02252649311472841}, 
-                                  {0.9898141074611663, 0.4521517697988286,   0.023427552839317543}, 
-                                  {0.9894223423635189, 0.45234765234765234,   0.024328612563906678}, 
-                                  {0.9890305772658714, 0.45254353489647603,   0.025229672288495816}, 
-                                  {0.9886388121682239, 0.4527394174452998,   0.026130732013084954}, 
-                                  {0.9882470470705765, 0.4529352999941235,   0.027031791737674088}, 
-                                  {0.987855281972929, 0.4531311825429472,   0.027932851462263222}, 
-                                  {0.9874635168752816, 0.45332706509177095,   0.02883391118685236}, 
-                                  {0.9870717517776342, 0.4535229476405947,   0.029734970911441498}, 
-                                  {0.9866799866799867, 0.4537188301894184,   0.030636030636030636}, 
-                                  {0.9862882215823392, 0.45391471273824213,   0.031537090360619774}, 
-                                  {0.9858964564846918, 0.4541105952870659,   0.03243815008520891}, 
-                                  {0.9855046913870443, 0.45430647783588957,   0.033339209809798036}, 
-                                  {0.9851129262893968, 0.4545023603847133,   0.03424026953438718}, 
-                                  {0.9847211611917495, 0.45469824293353706,   0.03514132925897631}, 
-                                  {0.984329396094102, 0.45489412548236074,   0.03604238898356545}, 
-                                  {0.9839376309964545, 0.4550900080311845,   0.03694344870815459}, 
-                                  {0.9835458658988071, 0.45528589058000823,   0.03784450843274372}, 
-                                  {0.9831541008011596, 0.4554817731288319,   0.03874556815733286}, 
-                                  {0.9827623357035122, 0.45567765567765567,   0.039646627881922}, 
-                                  {0.9823705706058647, 0.4558735382264794,   0.04054768760651113}, 
-                                  {0.9819788055082173, 0.4560694207753031,   0.041448747331100266}, 
-                                  {0.9815870404105699, 0.45626530332412685,   0.0423498070556894}, 
-                                  {0.9811952753129224, 0.4564611858729506,   0.04325086678027854}, 
-                                  {0.9808035102152749, 0.4566570684217743,   0.044151926504867677}, 
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-                                  {0.5941039352804058, 0.31589195118606883,   0.1899629781982723}, 
-                                  {0.5968071144541732, 0.3089577089577089,   0.19109909698144992}, 
-                                  {0.5995102936279406, 0.30202346672934904,   0.19223521576462754}, 
-                                  {0.6022134728017081, 0.29508922450098923,   0.19337133454780514}, 
-                                  {0.6049166519754755, 0.2881549822726293,   0.19450745333098274}, 
-                                  {0.6076198311492429, 0.28122074004426945,   0.19564357211416034}, 
-                                  {0.6103230103230103, 0.2742864978159095,   0.19677969089733796}, 
-                                  {0.6130261894967777, 0.2673522555875497,   0.19791580968051556}, 
-                                  {0.6157293686705451, 0.26041801335918985,   0.19905192846369316}, 
-                                  {0.6184325478443126, 0.2534837711308299,   0.20018804724687078}, 
-                                  {0.62113572701808, 0.24654952890247012,   0.20132416603004838}, 
-                                  {0.6238389061918473, 0.2396152866741102,   0.20246028481322598}, 
-                                  {0.6265420853656147, 0.23268104444575033,   0.20359640359640357}, 
-                                  {0.6292452645393822, 0.2257468022173904,   0.2047325223795812}, 
-                                  {0.6319484437131495, 0.2188125599890306,   0.2058686411627588}, 
-                                  {0.634651622886917, 0.21187831776067068,   0.20700475994593642}, 
-                                  {0.6373548020606844, 0.20494407553231087,   0.20814087872911402}, 
-                                  {0.6400579812344518, 0.19800983330395094,   0.20927699751229162}, 
-                                  {0.6427611604082192, 0.19107559107559102,   0.21041311629546922}, 
-                                  {0.6454643395819866, 0.1841413488472312,   0.2115492350786468}, 
-                                  {0.6481675187557541, 0.1772071066188713,   0.21268535386182447}, 
-                                  {0.6508706979295215, 0.17027286439051148,   0.21382147264500206}, 
-                                  {0.6535738771032888, 0.16333862216215156,   0.21495759142817966}, 
-                                  {0.6562770562770562, 0.15640437993379175,   0.21609371021135726}, 
-                                  {0.6589802354508236, 0.14947013770543183,   0.21722982899453486}, 
-                                  {0.6616834146245911, 0.1425358954770719,   0.21836594777771248}, 
-                                  {0.6643865937983584, 0.1356016532487121,   0.21950206656089008}, 
-                                  {0.6670897729721259, 0.12866741102035217,   0.2206381853440677}, 
-                                  {0.6697929521458933, 0.12173316879199236,   0.2217743041272453}, 
-                                  {0.6724961313196607, 0.11479892656363244,   0.2229104229104229}, 
-                                  {0.6751993104934281, 0.10786468433527263,   0.2240465416936005}, 
-                                  {0.6779024896671955, 0.10093044210691271,   0.22518266047677812}, 
-                                  {0.680605668840963, 0.09399619987855279,   0.22631877925995572}, 
-                                  {0.6833088480147302, 0.08706195765019298,   0.22745489804313332}, 
-                                  {0.6860120271884977, 0.08012771542183306,   0.22859101682631094}, 
-                                  {0.6887152063622651, 0.07319347319347325,   0.22972713560948854}, 
-                                  {0.6914183855360325, 0.06625923096511332,   0.23086325439266614}, 
-                                  {0.6941215647098, 0.059324988736753514,   0.23199937317584374}, 
-                                  {0.6968247438835673, 0.05239074650839359,   0.2331354919590214}, 
-                                  {0.6995279230573348, 0.04545650428003367,   0.234271610742199}, 
-                                  {0.7017609841139253, 0.0396779690897338,   0.23556051791345908}, 
-                                  {0.6997629821159232, 0.04430079724197371,   0.23822452057746174}, 
-                                  {0.6977649801179212, 0.04892362539421363,   0.24088852324146443}, 
-                                  {0.6957669781199193, 0.05354645354645354,   0.24355252590546708}, 
-                                  {0.6937689761219172, 0.05816928169869347,   0.24621652856946974}, 
-                                  {0.6917709741239153, 0.06279210985093338,   0.2488805312334724}, 
-                                  {0.6897729721259133, 0.0674149380031733,   0.25154453389747505}, 
-                                  {0.6877749701279112, 0.07203776615541321,   0.25420853656147774}, 
-                                  {0.6857769681299093, 0.07666059430765312,   0.2568725392254804}, 
-                                  {0.6837789661319073, 0.08128342245989303,   0.25953654188948305}, 
-                                  {0.6817809641339052, 0.08590625061213296,   0.26220054455348574}, 
-                                  {0.6797829621359033, 0.09052907876437288,   0.26486454721748837}, 
-                                  {0.6777849601379012, 0.0951519069166128,   0.26752854988149105}, 
-                                  {0.6757869581398993, 0.0997747350688527,   0.27019255254549374}, 
-                                  {0.6737889561418973, 0.10439756322109263,   0.27285655520949637}, 
-                                  {0.6717909541438952, 0.10902039137333254,   0.27552055787349905}, 
-                                  {0.6697929521458933, 0.11364321952557245,   0.27818456053750173}, 
-                                  {0.6677949501478913, 0.11826604767781237,   0.28084856320150436}, 
-                                  {0.6657969481498893, 0.1228888758300523,   0.28351256586550705}, 
-                                  {0.6637989461518873, 0.12751170398229222,   0.2861765685295097}, 
-                                  {0.6618009441538852, 0.13213453213453213,   0.28884057119351236}, 
-                                  {0.6598029421558833, 0.13675736028677205,   0.29150457385751505}, 
-                                  {0.6578049401578813, 0.14138018843901196,   0.2941685765215177}, 
-                                  {0.6558069381598793, 0.14600301659125187,   0.29683257918552036}, 
-                                  {0.6538089361618773, 0.15062584474349178,   0.299496581849523}, 
-                                  {0.6518109341638753, 0.1552486728957317,   0.3021605845135257}, 
-                                  {0.6498129321658733, 0.15987150104797163,   0.30482458717752836}, 
-                                  {0.6478149301678713, 0.16449432920021154,   0.30748858984153105}, 
-                                  {0.6458169281698694, 0.16911715735245145,   0.3101525925055337}, 
-                                  {0.6438189261718673, 0.17373998550469136,   0.3128165951695363}, 
-                                  {0.6418209241738653, 0.1783628136569313,   0.315480597833539}, 
-                                  {0.6398229221758633, 0.1829856418091712,   0.3181446004975417}, 
-                                  {0.6378249201778613, 0.18760846996141115,   0.32080860316154436}, 
-                                  {0.6358269181798593, 0.19223129811365106,   0.323472605825547}, 
-                                  {0.6338289161818573, 0.19685412626589094,   0.3261366084895496}, 
-                                  {0.6318309141838553, 0.20147695441813085,   0.3288006111535523}, 
-                                  {0.6298329121858534, 0.2060997825703708,   0.331464613817555}, 
-                                  {0.6278349101878513, 0.2107226107226107,   0.33412861648155767}, 
-                                  {0.6258369081898494, 0.21534543887485064,   0.3367926191455603}, 
-                                  {0.6238389061918473, 0.21996826702709055,   0.339456621809563}, 
-                                  {0.6218409041938453, 0.22459109517933046,   0.3421206244735656}, 
-                                  {0.6198429021958434, 0.2292139233315704,   0.3447846271375683}, 
-                                  {0.6178449001978413, 0.23383675148381028,   0.347448629801571}, 
-                                  {0.6158468981998393, 0.2384595796360502,   0.3501126324655736}, 
-                                  {0.6138488962018374, 0.24308240778829013,   0.3527766351295763}, 
-                                  {0.6118508942038353, 0.24770523594053004,   0.35544063779357893}, 
-                                  {0.6098528922058334, 0.25232806409277,   0.3581046404575816}, 
-                                  {0.6078548902078313, 0.2569508922450099,   0.3607686431215843}, 
-                                  {0.6058568882098294, 0.2615737203972498,   0.363432645785587}, 
-                                  {0.6038588862118274, 0.2661965485494897,   0.3660966484495896}, 
-                                  {0.6018608842138253, 0.2708193767017296,   0.36876065111359224}, 
-                                  {0.5998628822158234, 0.27544220485396953,   0.3714246537775949}, 
-                                  {0.5978648802178214, 0.28006503300620944,   0.3740886564415976}, 
-                                  {0.5958668782198193, 0.28468786115844935,   0.3767526591056003}, 
-                                  {0.5938688762218174, 0.28931068931068926,   0.3794166617696029}, 
-                                  {0.5918708742238153, 0.2939335174629292,   0.3820806644336056}, 
-                                  {0.5898728722258134, 0.2985563456151691,   0.38474466709760824}, 
-                                  {0.5878748702278114, 0.303179173767409,   0.3874086697616109}, 
-                                  {0.5858768682298094, 0.3078020019196489,   0.3900726724256136}, 
-                                  {0.5838788662318074, 0.3124248300718888,   0.39273667508961624}, 
-                                  {0.5818808642338054, 0.3170476582241287,   0.3954006777536189}, 
-                                  {0.5798828622358034, 0.32167048637636875,   0.39806468041762155}, 
-                                  {0.5778848602378014, 0.32629331452860866,   0.40072868308162424}, 
-                                  {0.5758868582397993, 0.33091614268084846,   0.4033926857456269}, 
-                                  {0.5738888562417974, 0.3355389708330885,   0.4060566884096296}, 
-                                  {0.5718908542437954, 0.3401617989853284,   0.40872069107363224}, 
-                                  {0.5698928522457933, 0.3447846271375683,   0.4113846937376349}, 
-                                  {0.5678948502477914, 0.3494074552898082,   0.41404869640163755}, 
-                                  {0.5658968482497894, 0.3540302834420481,   0.41671269906564024}, 
-                                  {0.5638988462517874, 0.35865311159428803,   0.4193767017296429}, 
-                                  {0.5619008442537854, 0.36327593974652794,   0.42204070439364555}, 
-                                  {0.5599028422557835, 0.36789876789876785,   0.42470470705764823}, 
-                                  {0.5579048402577814, 0.37252159605100776,   0.42736870972165086}, 
-                                  {0.5559068382597794, 0.3771444242032477,   0.43003271238565355}, 
-                                  {0.5539088362617774, 0.3817672523554876,   0.43269671504965623}, 
-                                  {0.5519108342637754, 0.3863900805077276,   0.4353607177136589}, 
-                                  {0.5499128322657734, 0.3910129086599674,   0.43802472037766155}, 
-                                  {0.5479148302677714, 0.39563573681220743,   0.44068872304166423}, 
-                                  {0.5459168282697694, 0.40025856496444734,   0.44335272570566686}, 
-                                  {0.5439188262717675, 0.40488139311668714,   0.44601672836966955}, 
-                                  {0.5419208242737654, 0.40950422126892716,   0.44868073103367223}, 
-                                  {0.5399228222757635, 0.41412704942116696,   0.45134473369767486}, 
-                                  {0.5379248202777615, 0.418749877573407,   0.45400873636167755}, 
-                                  {0.5359268182797594, 0.4233727057256469,   0.4566727390256802}, 
-                                  {0.5339288162817575, 0.4279955338778868,   0.45933674168968286}, 
-                                  {0.5319308142837554, 0.4326183620301267,   0.46200074435368554}, 
-                                  {0.5299328122857534, 0.4372411901823666,   0.4646647470176882}, 
-                                  {0.5279348102877515, 0.44186401833460653,   0.46732874968169086}, 
-                                  {0.5259368082897494, 0.44648684648684644,   0.4699927523456935}, 
-                                  {0.5239388062917474, 0.45110967463908636,   0.4726567550096962}, 
-                                  {0.5219408042937455, 0.45573250279132627,   0.47532075767369886}, 
-                                  {0.5199428022957434, 0.4603553309435662,   0.47798476033770154}, 
-                                  {0.5179448002977415, 0.4649781590958061,   0.48064876300170417}, 
-                                  {0.5159467982997394, 0.4696009872480461,   0.48331276566570686}, 
-                                  {0.5139487963017375, 0.4742238154002859,   0.4859767683297095}, 
-                                  {0.5119507943037355, 0.4788466435525258,   0.4886407709937121}, 
-                                  {0.5099527923057334, 0.48346947170476584,   0.4913047736577148}, 
-                                  {0.5079547903077315, 0.48809229985700564,   0.4939687763217175}, 
-                                  {0.5059567883097295, 0.49271512800924566,   0.49663277898572017}, 
-                                  {0.5039587863117275, 0.4973379561614856,  0.4992967816497228}};
+float palette_adam_blend[1001][3]={{1.f, 0.44705882352941173f, 0.f}, 
+                                  {0.9996082349023525f, 0.4472547060782355f,   0.0009010597245891363f}, 
+                                  {0.9992164698047051f, 0.44745058862705916f,   0.0018021194491782725f}, 
+                                  {0.9988247047070576f, 0.4476464711758829f,   0.002703179173767409f}, 
+                                  {0.9984329396094102f, 0.44784235372470665f,   0.003604238898356545f}, 
+                                  {0.9980411745117628f, 0.44803823627353034f,   0.004505298622945682f}, 
+                                  {0.9976494094141153f, 0.4482341188223541f,   0.005406358347534818f}, 
+                                  {0.9972576443164678f, 0.44843000137117783f,   0.006307418072123954f}, 
+                                  {0.9968658792188204f, 0.4486258839200015f,   0.00720847779671309f}, 
+                                  {0.9964741141211729f, 0.44882176646882527f,   0.008109537521302227f}, 
+                                  {0.9960823490235255f, 0.449017649017649f,   0.009010597245891363f}, 
+                                  {0.9956905839258781f, 0.4492135315664727f,   0.0099116569704805f}, 
+                                  {0.9952988188282306f, 0.44940941411529645f,   0.010812716695069636f}, 
+                                  {0.9949070537305832f, 0.4496052966641202f,   0.011713776419658772f}, 
+                                  {0.9945152886329357f, 0.4498011792129439f,   0.012614836144247908f}, 
+                                  {0.9941235235352882f, 0.4499970617617676f,   0.013515895868837044f}, 
+                                  {0.9937317584376408f, 0.4501929443105913f,   0.01441695559342618f}, 
+                                  {0.9933399933399933f, 0.45038882685941506f,   0.015318015318015318f}, 
+                                  {0.9929482282423459f, 0.4505847094082388f,   0.016219075042604454f}, 
+                                  {0.9925564631446985f, 0.4507805919570625f,   0.01712013476719359f}, 
+                                  {0.992164698047051f, 0.45097647450588624f,   0.018021194491782726f}, 
+                                  {0.9917729329494035f, 0.45117235705471f,   0.01892225421637186f}, 
+                                  {0.9913811678517561f, 0.45136823960353367f,   0.019823313940961f}, 
+                                  {0.9909894027541086f, 0.4515641221523574f,   0.020724373665550133f}, 
+                                  {0.9905976376564611f, 0.45176000470118116f,   0.02162543339013927f}, 
+                                  {0.9902058725588138f, 0.45195588725000485f,   0.02252649311472841f}, 
+                                  {0.9898141074611663f, 0.4521517697988286f,   0.023427552839317543f}, 
+                                  {0.9894223423635189f, 0.45234765234765234f,   0.024328612563906678f}, 
+                                  {0.9890305772658714f, 0.45254353489647603f,   0.025229672288495816f}, 
+                                  {0.9886388121682239f, 0.4527394174452998f,   0.026130732013084954f}, 
+                                  {0.9882470470705765f, 0.4529352999941235f,   0.027031791737674088f}, 
+                                  {0.987855281972929f, 0.4531311825429472f,   0.027932851462263222f}, 
+                                  {0.9874635168752816f, 0.45332706509177095f,   0.02883391118685236f}, 
+                                  {0.9870717517776342f, 0.4535229476405947f,   0.029734970911441498f}, 
+                                  {0.9866799866799867f, 0.4537188301894184f,   0.030636030636030636f}, 
+                                  {0.9862882215823392f, 0.45391471273824213f,   0.031537090360619774f}, 
+                                  {0.9858964564846918f, 0.4541105952870659f,   0.03243815008520891f}, 
+                                  {0.9855046913870443f, 0.45430647783588957f,   0.033339209809798036f}, 
+                                  {0.9851129262893968f, 0.4545023603847133f,   0.03424026953438718f}, 
+                                  {0.9847211611917495f, 0.45469824293353706f,   0.03514132925897631f}, 
+                                  {0.984329396094102f, 0.45489412548236074f,   0.03604238898356545f}, 
+                                  {0.9839376309964545f, 0.4550900080311845f,   0.03694344870815459f}, 
+                                  {0.9835458658988071f, 0.45528589058000823f,   0.03784450843274372f}, 
+                                  {0.9831541008011596f, 0.4554817731288319f,   0.03874556815733286f}, 
+                                  {0.9827623357035122f, 0.45567765567765567f,   0.039646627881922f}, 
+                                  {0.9823705706058647f, 0.4558735382264794f,   0.04054768760651113f}, 
+                                  {0.9819788055082173f, 0.4560694207753031f,   0.041448747331100266f}, 
+                                  {0.9815870404105699f, 0.45626530332412685f,   0.0423498070556894f}, 
+                                  {0.9811952753129224f, 0.4564611858729506f,   0.04325086678027854f}, 
+                                  {0.9808035102152749f, 0.4566570684217743f,   0.044151926504867677f}, 
+                                  {0.9804117451176275f, 0.456852950970598f,   0.04505298622945682f}, 
+                                  {0.98001998001998f, 0.4570488335194217f,   0.04595404595404595f}, 
+                                  {0.9796282149223325f, 0.45724471606824546f,   0.04685510567863509f}, 
+                                  {0.9792364498246852f, 0.4574405986170692f,   0.04775616540322422f}, 
+                                  {0.9788446847270377f, 0.4576364811658929f,   0.048657225127813356f}, 
+                                  {0.9784529196293902f, 0.45783236371471664f,   0.04955828485240249f}, 
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+                                  {0.5099527923057334f, 0.48346947170476584f,   0.4913047736577148f}, 
+                                  {0.5079547903077315f, 0.48809229985700564f,   0.4939687763217175f}, 
+                                  {0.5059567883097295f, 0.49271512800924566f,   0.49663277898572017f}, 
+                                  {0.5039587863117275f, 0.4973379561614856f,  0.4992967816497228f}};
 
-float palette_adam[11][3]={{1., 0.44705882352941173, 0.}, 
-                          {0.9607843137254902, 0.4666666666666667,  0.09019607843137255}, 
-                          {0.2549019607843137, 0.7019607843137254, 0.8627450980392157}, 
-                          {0.9254901960784314, 0., 0.5490196078431373}, 
-                          {0.023529411764705882, 0.4784313725490196, 0.7058823529411764}, 
-                          {0.047058823529411764, 0.14509803921568626, 0.4666666666666667}, 
-                          {0.5058823529411764, 0.00392156862745098, 0.10196078431372549}, 
-                          {0.7764705882352941, 0.8313725490196078, 0.2392156862745098}, 
-                          {0.43137254901960786, 0.7333333333333333, 0.12156862745098039}, 
-                          {0.7019607843137254, 0.0392156862745098, 0.23529411764705882}, 
-                          {0.5019607843137255, 0.5019607843137255, 0.5019607843137255}};
+float palette_adam[11][3]={{1.f, 0.44705882352941173f, 0.f}, 
+                          {0.9607843137254902f, 0.4666666666666667f,  0.09019607843137255f}, 
+                          {0.2549019607843137f, 0.7019607843137254f, 0.8627450980392157f}, 
+                          {0.9254901960784314f, 0.f, 0.5490196078431373f}, 
+                          {0.023529411764705882f, 0.4784313725490196f, 0.7058823529411764f}, 
+                          {0.047058823529411764f, 0.14509803921568626f, 0.4666666666666667f}, 
+                          {0.5058823529411764f, 0.00392156862745098f, 0.10196078431372549f}, 
+                          {0.7764705882352941f, 0.8313725490196078f, 0.2392156862745098f}, 
+                          {0.43137254901960786f, 0.7333333333333333f, 0.12156862745098039f}, 
+                          {0.7019607843137254f, 0.0392156862745098f, 0.23529411764705882f}, 
+                          {0.5019607843137255f, 0.5019607843137255f, 0.5019607843137255f}};