junpeitsuji · October 6, 2017 11:15
diff --git a/gaussian_period_result.txt b/gaussian_period_result.txt
 # The Gaussian periods modulo 65537
 p = 65537
 g = 3 (primitive root modulo 65537)

 Z/pZ := [1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049, 46073, 7145, 21435, 64305, 61841, 54449, 32273, 31282, 28309, 19390, 58170, 43436, 64771, 63239, 58643, 44855, 3491, 10473, 31419, 28720, 20623, 61869, 54533, 32525, 32038, 30577, 26194, 13045, 39135, 51868, 24530, 8053, 24159, 6940, 20820, 62460, 56306, 37844, 47995, 12911, 38733, 50662, 20912, 62736, 57134, 40328, 55447, 35267, 40264, 55255, 34691, 38536, 50071, 19139, 57417, 41177, 57994, 42908, 63187, 58487, 44387, 2087, 6261, 18783, 56349, 37973, 48382, 14072, 42216, 61111, 52259, 25703, 11572, 34716, 38611, 50296, 19814, 59442, 47252, 10682, 32046, 30601, 26266, 13261, 39783, 53812, 30362, 25549, 11110, 33330, 34453, 37822, 47929, 12713, 38139, 48880, 15566, 46698, 9020, 27060, 15643, 46929, 9713, 29139, 21880, 103, 309, 927, 2781, 8343, 25029, 9550, 28650, 20413, 61239, 52643, 26855, 15028, 45084, 4178, 12534, 37602, 47269, 10733, 32199, 31060, 27643, 17392, 52176, 25454, 10825, 32475, 31888, 30127, 24844, 8995, 26985, 15418, 46254, 7688, 23064, 3655, 10965, 32895, 33148, 33907, 36184, 43015, 63508, 59450, 47276, 10754, 32262, 31249, 28210, 19093, 57279, 40763, 56752, 39182, 52009, 24953, 9322, 27966, 18361, 55083, 34175, 36988, 45427, 5207, 15621, 46863, 9515, 28545, 20098, 60294, 49808, 18350, 55050, 34076, 36691, 44536, 2534, 7602, 22806, 2881, 8643, 25929, 12250, 36750, 44713, 3065, 9195, 27585, 17218, 51654, 23888, 6127, 18381, 55143, 34355, 37528, 47047, 10067, 30201, 25066, 9661, 28983, 21412, 64236, 61634, 53828, 30410, 25693, 11542, 34626, 38341, 49486, 17384, 52152, 25382, 10609, 31827, 29944, 24295, 7348, 22044, 595, 1785, 5355, 16065, 48195, 13511, 40533, 56062, 37112, 45799, 6323, 18969, 56907, 39647, 53404, 29138, 21877, 94, 282, 846, 2538, 7614, 22842, 2989, 8967, 26901, 15166, 45498, 5420, 16260, 48780, 15266, 45798, 6320, 18960, 56880, 39566, 53161, 28409, 19690, 59070, 46136, 7334, 22002, 469, 1407, 4221, 12663, 37989, 48430, 14216, 42648, 62407, 56147, 37367, 46564, 8618, 25854, 12025, 36075, 42688, 62527, 56507, 38447, 49804, 18338, 55014, 33968, 36367, 43564, 65155, 64391, 62099, 55223, 34595, 38248, 49207, 16547, 49641, 17849, 53547, 29567, 23164, 3955, 11865, 35595, 41248, 58207, 43547, 65104, 64238, 61640, 53846, 30464, 25855, 12028, 36084, 42715, 62608, 56750, 39176, 51991, 24899, 9160, 27480, 16903, 50709, 21053, 63159, 58403, 44135, 1331, 3993, 11979, 35937, 42274, 61285, 52781, 27269, 16270, 48810, 15356, 46068, 7130, 21390, 64170, 61436, 53234, 28628, 20347, 61041, 52049, 25073, 9682, 29046, 21601, 64803, 63335, 58931, 45719, 6083, 18249, 54747, 33167, 33964, 36355, 43528, 65047, 64067, 61127, 52307, 25847, 12004, 36012, 42499, 61960, 54806, 33344, 34495, 37948, 48307, 13847, 41541, 59086, 46184, 7478, 22434, 1765, 5295, 15885, 47655, 11891, 35673, 41482, 58909, 45653, 5885, 17655, 52965, 27821, 17926, 53778, 30260, 25243, 10192, 30576, 26191, 13036, 39108, 51787, 24287, 7324, 21972, 379, 1137, 3411, 10233, 30699, 26560, 14143, 42429, 61750, 54176, 31454, 28825, 20938, 62814, 57368, 41030, 57553, 41585, 59218, 46580, 8666, 25998, 12457, 37371, 46576, 8654, 25962, 12349, 37047, 45604, 5738, 17214, 51642, 23852, 6019, 18057, 54171, 31439, 28780, 20803, 62409, 56153, 37385, 46618, 8780, 26340, 13483, 40449, 55810, 36356, 43531, 65056, 64094, 61208, 52550, 26576, 14191, 42573, 62182, 55472, 35342, 40489, 55930, 36716, 44611, 2759, 8277, 24831, 8956, 26868, 15067, 45201, 4529, 13587, 40761, 56746, 39164, 51955, 24791, 8836, 26508, 13987, 41961, 60346, 49964, 18818, 56454, 38288, 49327, 16907, 50721, 21089, 63267, 58727, 45107, 4247, 12741, 38223, 49132, 16322, 48966, 15824, 47472, 11342, 34026, 36541, 44086, 1184, 3552, 10656, 31968, 30367, 25564, 11155, 33465, 34858, 39037, 51574, 23648, 5407, 16221, 48663, 14915, 44745, 3161, 9483, 28449, 19810, 59430, 47216, 10574, 31722, 29629, 23350, 4513, 13539, 40617, 56314, 37868, 48067, 13127, 39381, 52606, 26744, 14695, 44085, 1181, 3543, 10629, 31887, 30124, 24835, 8968, 26904, 15175, 45525, 5501, 16503, 49509, 17453, 52359, 26003, 12472, 37416, 46711, 9059, 27177, 15994, 47982, 12872, 38616, 50311, 19859, 59577, 47657, 11897, 35691, 41536, 59071, 46139, 7343, 22029, 550, 1650, 4950, 14850, 44550, 2576, 7728, 23184, 4015, 12045, 36135, 42868, 63067, 58127, 43307, 64384, 62078, 55160, 34406, 37681, 47506, 11444, 34332, 37459, 46840, 9446, 28338, 19477, 58431, 44219, 1583, 4749, 14247, 42741, 62686, 56984, 39878, 54097, 31217, 28114, 18805, 56415, 38171, 48976, 15854, 47562, 11612, 34836, 38971, 51376, 23054, 3625, 10875, 32625, 32338, 31477, 28894, 21145, 63435, 59231, 46619, 8783, 26349, 13510, 40530, 56053, 37085, 45718, 6080, 18240, 54720, 33086, 33721, 35626, 41341, 58486, 44384, 2078, 6234, 18702, 56106, 37244, 46195, 7511, 22533, 2062, 6186, 18558, 55674, 35948, 42307, 61384, 53078, 28160, 18943, 56829, 39413, 52702, 27032, 15559, 46677, 8957, 26871, 15076, 45228, 4610, 13830, 41490, 58933, 45725, 6101, 18303, 54909, 33653, 35422, 40729, 56650, 38876, 51091, 22199, 1060, 3180, 9540, 28620, 20323, 60969, 51833, 24425, 7738, 23214, 4105, 12315, 36945, 45298, 4820, 14460, 43380, 64603, 62735, 57131, 40319, 55420, 35186, 40021, 54526, 32504, 31975, 30388, 25627, 11344, 34032, 36559, 44140, 1346, 4038, 12114, 36342, 43489, 64930, 63716, 60074, 49148, 16370, 49110, 16256, 48768, 15230, 45690, 5996, 17988, 53964, 30818, 26917, 15214, 45642, 5852, 17556, 52668, 26930, 15253, 45759, 6203, 18609, 55827, 36407, 43684, 65515, 65471, 65339, 64943, 63755, 60191, 49499, 17423, 52269, 25733, 11662, 34986, 39421, 52726, 27104, 15775, 47325, 10901, 32703, 32572, 32179, 31000, 27463, 16852, 50556, 20594, 61782, 54272, 31742, 29689, 23530, 5053, 15159, 45477, 5357, 16071, 48213, 13565, 40695, 56548, 38570, 50173, 19445, 58335, 43931, 719, 2157, 6471, 19413, 58239, 43643, 65392, 65102, 64232, 61622, 53792, 30302, 25369, 10570, 31710, 29593, 23242, 4189, 12567, 37701, 47566, 11624, 34872, 39079, 51700, 24026, 6541, 19623, 58869, 45533, 5525, 16575, 49725, 18101, 54303, 31835, 29968, 24367, 7564, 22692, 2539, 7617, 22851, 3016, 9048, 27144, 15895, 47685, 11981, 35943, 42292, 61339, 52943, 27755, 17728, 53184, 28478, 19897, 59691, 47999, 12923, 38769, 50770, 21236, 63708, 60050, 49076, 16154, 48462, 14312, 42936, 63271, 58739, 45143, 4355, 13065, 39195, 52048, 25070, 9673, 29019, 21520, 64560, 62606, 56744, 39158, 51937, 24737, 8674, 26022, 12529, 37587, 47224, 10598, 31794, 29845, 23998, 6457, 19371, 58113, 43265, 64258, 61700, 54026, 31004, 27475, 16888, 50664, 20918, 62754, 57188, 40490, 55933, 36725, 44638, 2840, 8520, 25560, 11143, 33429, 34750, 38713, 50602, 20732, 62196, 55514, 35468, 40867, 57064, 40118, 54817, 33377, 34594, 38245, 49198, 16520, 49560, 17606, 52818, 27380, 16603, 49809, 18353, 55059, 34103, 36772, 44779, 3263, 9789, 29367, 22564, 2155, 6465, 19395, 58185, 43481, 64906, 63644, 59858, 48500, 14426, 43278, 64297, 61817, 54377, 32057, 30634, 26365, 13558, 40674, 56485, 38381, 49606, 17744, 53232, 28622, 20329, 60987, 51887, 24587, 8224, 24672, 8479, 25437, 10774, 32322, 31429, 28750, 20713, 62139, 55343, 34955, 39328, 52447, 26267, 13264, 39792, 53839, 30443, 25792, 11839, 35517, 41014, 57505, 41441, 58786, 45284, 4778, 14334, 43002, 63469, 59333, 46925, 9701, 29103, 21772, 65316, 64874, 63548, 59570, 47636, 11834, 35502, 40969, 57370, 41036, 57571, 41639, 59380, 47066, 10124, 30372, 25579, 11200, 33600, 35263, 40252, 55219, 34583, 38212, 49099, 16223, 48669, 14933, 44799, 3323, 9969, 29907, 24184, 7015, 21045, 63135, 58331, 43919, 683, 2049, 6147, 18441, 55323, 34895, 39148, 51907, 24647, 8404, 25212, 10099, 30297, 25354, 10525, 31575, 29188, 22027, 544, 1632, 4896, 14688, 44064, 1118, 3354, 10062, 30186, 25021, 9526, 28578, 20197, 60591, 50699, 21023, 63069, 58133, 43325, 64438, 62240, 55646, 35864, 42055, 60628, 50810, 21356, 64068, 61130, 52316, 25874, 12085, 36255, 43228, 64147, 61367, 53027, 28007, 18484, 55452, 35282, 40309, 55390, 35096, 39751, 53716, 30074, 24685, 8518, 25554, 11125, 33375, 34588, 38227, 49144, 16358, 49074, 16148, 48444, 14258, 42774, 62785, 57281, 40769, 56770, 39236, 52171, 25439, 10780, 32340, 31483, 28912, 21199, 63597, 59717, 48077, 13157, 39471, 52876, 27554, 17125, 51375, 23051, 3616, 10848, 32544, 32095, 30748, 26707, 14584, 43752, 182, 546, 1638, 4914, 14742, 44226, 1604, 4812, 14436, 43308, 64387, 62087, 55187, 34487, 37924, 48235, 13631, 40893, 57142, 40352, 55519, 35483, 40912, 57199, 40523, 56032, 37022, 45529, 5513, 16539, 49617, 17777, 53331, 28919, 21220, 63660, 59906, 48644, 14858, 44574, 2648, 7944, 23832, 5959, 17877, 53631, 29819, 23920, 6223, 18669, 56007, 36947, 45304, 4838, 14514, 43542, 65089, 64193, 61505, 53441, 29249, 22210, 1093, 3279, 9837, 29511, 22996, 3451, 10353, 31059, 27640, 17383, 52149, 25373, 10582, 31746, 29701, 23566, 5161, 15483, 46449, 8273, 24819, 8920, 26760, 14743, 44229, 1613, 4839, 14517, 43551, 65116, 64274, 61748, 54170, 31436, 28771, 20776, 62328, 55910, 36656, 44431, 2219, 6657, 19971, 59913, 48665, 14921, 44763, 3215, 9645, 28935, 21268, 63804, 60338, 49940, 18746, 56238, 37640, 47383, 11075, 33225, 34138, 36877, 45094, 4208, 12624, 37872, 48079, 13163, 39489, 52930, 27716, 17611, 52833, 27425, 16738, 50214, 19568, 58704, 45038, 4040, 12120, 36360, 43543, 65092, 64202, 61532, 53522, 29492, 22939, 3280, 9840, 29520, 23023, 3532, 10596, 31788, 29827, 23944, 6295, 18885, 56655, 38891, 51136, 22334, 1465, 4395, 13185, 39555, 53128, 28310, 19393, 58179, 43463, 64852, 63482, 59372, 47042, 10052, 30156, 24931, 9256, 27768, 17767, 53301, 28829, 20950, 62850, 57476, 41354, 58525, 44501, 2429, 7287, 21861, 46, 138, 414, 1242, 3726, 11178, 33534, 35065, 39658, 53437, 29237, 22174, 985, 2955, 8865, 26595, 14248, 42744, 62695, 57011, 39959, 54340, 31946, 30301, 25366, 10561, 31683, 29512, 22999, 3460, 10380, 31140, 27883, 18112, 54336, 31934, 30265, 25258, 10237, 30711, 26596, 14251, 42753, 62722, 57092, 40202, 55069, 34133, 36862, 45049, 4073, 12219, 36657, 44434, 2228, 6684, 20052, 60156, 49394, 17108, 51324, 22898, 3157, 9471, 28413, 19702, 59106, 46244, 7658, 22974, 3385, 10155, 30465, 25858, 12037, 36111, 42796, 62851, 57479, 41363, 58552, 44582, 2672, 8016, 24048, 6607, 19821, 59463, 47315, 10871, 32613, 32302, 31369, 28570, 20173, 60519, 50483, 20375, 61125, 52301, 25829, 11950, 35850, 42013, 60502, 50432, 20222, 60666, 50924, 21698, 65094, 64208, 61550, 53576, 29654, 23425, 4738, 14214, 42642, 62389, 56093, 37205, 46078, 7160, 21480, 64440, 62246, 55664, 35918, 42217, 61114, 52268, 25730, 11653, 34959, 39340, 52483, 26375, 13588, 40764, 56755, 39191, 52036, 25034, 9565, 28695, 20548, 61644, 53858, 30500, 25963, 12352, 37056, 45631, 5819, 17457, 52371, 26039, 12580, 37740, 47683, 11975, 35925, 42238, 61177, 52457, 26297, 13354, 40062, 54649, 32873, 33082, 33709, 35590, 41233, 58162, 43412, 64699, 63023, 57995, 42911, 63196, 58514, 44468, 2330, 6990, 20970, 62910, 57656, 41894, 60145, 49361, 17009, 51027, 22007, 484, 1452, 4356, 13068, 39204, 52075, 25151, 9916, 29748, 23707, 5584, 16752, 50256, 19694, 59082, 46172, 7442, 22326, 1441, 4323, 12969, 38907, 51184, 22478, 1897, 5691, 17073, 51219, 22583, 2212, 6636, 19908, 59724, 48098, 13220, 39660, 53443, 29255, 22228, 1147, 3441, 10323, 30969, 27370, 16573, 49719, 18083, 54249, 31673, 29482, 22909, 3190, 9570, 28710, 20593, 61779, 54263, 31715, 29608, 23287, 4324, 12972, 38916, 51211, 22559, 2140, 6420, 19260, 57780, 42266, 61261, 52709, 27053, 15622, 46866, 9524, 28572, 20179, 60537, 50537, 20537, 61611, 53759, 30203, 25072, 9679, 29037, 21574, 64722, 63092, 58202, 43532, 65059, 64103, 61235, 52631, 26819, 14920, 44760, 3206, 9618, 28854, 21025, 63075, 58151, 43379, 64600, 62726, 57104, 40238, 55177, 34457, 37834, 47965, 12821, 38463, 49852, 18482, 55446, 35264, 40255, 55228, 34610, 38293, 49342, 16952, 50856, 21494, 64482, 62372, 56042, 37052, 45619, 5783, 17349, 52047, 25067, 9664, 28992, 21439, 64317, 61877, 54557, 32597, 32254, 31225, 28138, 18877, 56631, 38819, 50920, 21686, 65058, 64100, 61226, 52604, 26738, 14677, 44031, 1019, 3057, 9171, 27513, 17002, 51006, 21944, 295, 885, 2655, 7965, 23895, 6148, 18444, 55332, 34922, 39229, 52150, 25376, 10591, 31773, 29782, 23809, 5890, 17670, 53010, 27956, 18331, 54993, 33905, 36178, 42997, 63454, 59288, 46790, 9296, 27888, 18127, 54381, 32069, 30670, 26473, 13882, 41646, 59401, 47129, 10313, 30939, 27280, 16303, 48909, 15653, 46959, 9803, 29409, 22690, 2533, 7599, 22797, 2854, 8562, 25686, 11521, 34563, 38152, 48919, 15683, 47049, 10073, 30219, 25120, 9823, 29469, 22870, 3073, 9219, 27657, 17434, 52302, 25832, 11959, 35877, 42094, 60745, 51161, 22409, 1690, 5070, 15210, 45630, 5816, 17448, 52344, 25958, 12337, 37011, 45496, 5414, 16242, 48726, 15104, 45312, 4862, 14586, 43758, 200, 600, 1800, 5400, 16200, 48600, 14726, 44178, 1460, 4380, 13140, 39420, 52723, 27095, 15748, 47244, 10658, 31974, 30385, 25618, 11317, 33951, 36316, 43411, 64696, 63014, 57968, 42830, 62953, 57785, 42281, 61306, 52844, 27458, 16837, 50511, 20459, 61377, 53057, 28097, 18754, 56262, 37712, 47599, 11723, 35169, 39970, 54373, 32045, 30598, 26257, 13234, 39702, 53569, 29633, 23362, 4549, 13647, 40941, 57286, 40784, 56815, 39371, 52576, 26654, 14425, 43275, 64288, 61790, 54296, 31814, 29905, 24178, 6997, 20991, 62973, 57845, 42461, 61846, 54464, 32318, 31417, 28714, 20605, 61815, 54371, 32039, 30580, 26203, 13072, 39216, 52111, 25259, 10240, 30720, 26623, 14332, 42996, 63451, 59279, 46763, 9215, 27645, 17398, 52194, 25508, 10987, 32961, 33346, 34501, 37966, 48361, 14009, 42027, 60544, 50558, 20600, 61800, 54326, 31904, 30175, 24988, 9427, 28281, 19306, 57918, 42680, 62503, 56435, 38231, 49156, 16394, 49182, 16472, 49416, 17174, 51522, 23492, 4939, 14817, 44451, 2279, 6837, 20511, 61533, 53525, 29501, 22966, 3361, 10083, 30249, 25210, 10093, 30279, 25300, 10363, 31089, 27730, 17653, 52959, 27803, 17872, 53616, 29774, 23785, 5818, 17454, 52362, 26012, 12499, 37497, 46954, 9788, 29364, 22555, 2128, 6384, 19152, 57456, 41294, 58345, 43961, 809, 2427, 7281, 21843, 65529, 65513, 65465, 65321, 64889, 63593, 59705, 48041, 13049, 39147, 51904, 24638, 8377, 25131, 9856, 29568, 23167, 3964, 11892, 35676, 41491, 58936, 45734, 6128, 18384, 55152, 34382, 37609, 47290, 10796, 32388, 31627, 29344, 22495, 1948, 5844, 17532, 52596, 26714, 14605, 43815, 371, 1113, 3339, 10017, 30051, 24616, 8311, 24933, 9262, 27786, 17821, 53463, 29315, 22408, 1687, 5061, 15183, 45549, 5573, 16719, 50157, 19397, 58191, 43499, 64960, 63806, 60344, 49958, 18800, 56400, 38126, 48841, 15449, 46347, 7967, 23901, 6166, 18498, 55494, 35408, 40687, 56524, 38498, 49957, 18797, 56391, 38099, 48760, 15206, 45618, 5780, 17340, 52020, 24986, 9421, 28263, 19252, 57756, 42194, 61045, 52061, 25109, 9790, 29370, 22573, 2182, 6546, 19638, 58914, 45668, 5930, 17790, 53370, 29036, 21571, 64713, 63065, 58121, 43289, 64330, 61916, 54674, 32948, 33307, 34384, 37615, 47308, 10850, 32550, 32113, 30802, 26869, 15070, 45210, 4556, 13668, 41004, 57475, 41351, 58516, 44474, 2348, 7044, 21132, 63396, 59114, 46268, 7730, 23190, 4033, 12099, 36297, 43354, 64525, 62501, 56429, 38213, 49102, 16232, 48696, 15014, 45042, 4052, 12156, 36468, 43867, 527, 1581, 4743, 14229, 42687, 62524, 56498, 38420, 49723, 18095, 54285, 31781, 29806, 23881, 6106, 18318, 54954, 33788, 35827, 41944, 60295, 49811, 18359, 55077, 34157, 36934, 45265, 4721, 14163, 42489, 61930, 54716, 33074, 33685, 35518, 41017, 57514, 41468, 58867, 45527, 5507, 16521, 49563, 17615, 52845, 27461, 16846, 50538, 20540, 61620, 53786, 30284, 25315, 10408, 31224, 28135, 18868, 56604, 38738, 50677, 20957, 62871, 57539, 41543, 59092, 46202, 7532, 22596, 2251, 6753, 20259, 60777, 51257, 22697, 2554, 7662, 22986, 3421, 10263, 30789, 26830, 14953, 44859, 3503, 10509, 31527, 29044, 21595, 64785, 63281, 58769, 45233, 4625, 13875, 41625, 59338, 46940, 9746, 29238, 22177, 994, 2982, 8946, 26838, 14977, 44931, 3719, 11157, 33471, 34876, 39091, 51736, 24134, 6865, 20595, 61785, 54281, 31769, 29770, 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22161, 946, 2838, 8514, 25542, 11089, 33267, 34264, 37255, 46228, 7610, 22830, 2953, 8859, 26577, 14194, 42582, 62209, 55553, 35585, 41218, 58117, 43277, 64294, 61808, 54350, 31976, 30391, 25636, 11371, 34113, 36802, 44869, 3533, 10599, 31797, 29854, 24025, 6538, 19614, 58842, 45452, 5282, 15846, 47538, 11540, 34620, 38323, 49432, 17222, 51666, 23924, 6235, 18705, 56115, 37271, 46276, 7754, 23262, 4249, 12747, 38241, 49186, 16484, 49452, 17282, 51846, 24464, 7855, 23565, 5158, 15474, 46422, 8192, 24576, 8191, 24573, 8182, 24546, 8101, 24303, 7372, 22116, 811, 2433, 7299, 21897, 154, 462, 1386, 4158, 12474, 37422, 46729, 9113, 27339, 16480, 49440, 17246, 51738, 24140, 6883, 20649, 61947, 54767, 33227, 34144, 36895, 45148, 4370, 13110, 39330, 52453, 26285, 13318, 39954, 54325, 31901, 30166, 24961, 9346, 28038, 18577, 55731, 36119, 42820, 62923, 57695, 42011, 60496, 50414, 20168, 60504, 50438, 20240, 60720, 51086, 22184, 1015, 3045, 9135, 27405, 16678, 50034, 19028, 57084, 40178, 54997, 33917, 36214, 43105, 63778, 60260, 49706, 18044, 54132, 31322, 28429, 19750, 59250, 46676, 8954, 26862, 15049, 45147, 4367, 13101, 39303, 52372, 26042, 12589, 37767, 47764, 12218, 36654, 44425, 2201, 6603, 19809, 59427, 47207, 10547, 31641, 29386, 22621, 2326, 6978, 20934, 62802, 57332, 40922, 57229, 40613, 56302, 37832, 47959, 12803, 38409, 49690, 17996, 53988, 30890, 27133, 15862, 47586, 11684, 35052, 39619, 53320, 28886, 21121, 63363, 59015, 45971, 6839, 20517, 61551, 53579, 29663, 23452, 4819, 14457, 43371, 64576, 62654, 56888, 39590, 53233, 28625, 20338, 61014, 51968, 24830, 8953, 26859, 15040, 45120, 4286, 12858, 38574, 50185, 19481, 58443, 44255, 1691, 5073, 15219, 45657, 5897, 17691, 53073, 28145, 18898, 56694, 39008, 51487, 23387, 4624, 13872, 41616, 59311, 46859, 9503, 28509, 19990, 59970, 48836, 15434, 46302, 7832, 23496, 4951, 14853, 44559, 2603, 7809, 23427, 4744, 14232, 42696, 62551, 56579, 38663, 50452, 20282, 60846, 51464, 23318, 4417, 13251, 39753, 53722, 30092, 24739, 8680, 26040, 12583, 37749, 47710, 12056, 36168, 42967, 63364, 59018, 45980, 6866, 20598, 61794, 54308, 31850, 30013, 24502, 7969, 23907, 6184, 18552, 55656, 35894, 42145, 60898, 51620, 23786, 5821, 17463, 52389, 26093, 12742, 38226, 49141, 16349, 49047, 16067, 48201, 13529, 40587, 56224, 37598, 47257, 10697, 32091, 30736, 26671, 14476, 43428, 64747, 63167, 58427, 44207, 1547, 4641, 13923, 41769, 59770, 48236, 13634, 40902, 57169, 40433, 55762, 36212, 43099, 63760, 60206, 49544, 17558, 52674, 26948, 15307, 45921, 6689, 20067, 60201, 49529, 17513, 52539, 26543, 14092, 42276, 61291, 52799, 27323, 16432, 49296, 16814, 50442, 20252, 60756, 51194, 22508, 1987, 5961, 17883, 53649, 29873, 24082, 6709, 20127, 60381, 50069, 19133, 57399, 41123, 57832, 42422, 61729, 54113, 31265, 28258, 19237, 57711, 42059, 60640, 50846, 21464, 64392, 62102, 55232, 34622, 38329, 49450, 17276, 51828, 24410, 7693, 23079, 3700, 11100, 33300, 34363, 37552, 47119, 10283, 30849, 27010, 15493, 46479, 8363, 25089, 9730, 29190, 22033, 562, 1686, 5058, 15174, 45522, 5492, 16476, 49428, 17210, 51630, 23816, 5911, 17733, 53199, 28523, 20032, 60096, 49214, 16568, 49704, 18038, 54114, 31268, 28267, 19264, 57792, 42302, 61369, 53033, 28025, 18538, 55614, 35768, 41767, 59764, 48218, 13580, 40740, 56683, 38975, 51388, 23090, 3733, 11199, 33597, 35254, 40225, 55138, 34340, 37483, 46912, 9662, 28986, 21421, 64263, 61715, 54071, 31139, 27880, 18103, 54309, 31853, 30022, 24529, 8050, 24150, 6913, 20739, 62217, 55577, 35657, 41434, 58765, 45221, 4589, 13767, 41301, 58366, 44024, 998, 2994, 8982, 26946, 15301, 45903, 6635, 19905, 59715, 48071, 13139, 39417, 52714, 27068, 15667, 47001, 9929, 29787, 23824, 5935, 17805, 53415, 29171, 21976, 391, 1173, 3519, 10557, 31671, 29476, 22891, 3136, 9408, 28224, 19135, 57405, 41141, 57886, 42584, 62215, 55571, 35639, 41380, 58603, 44735, 3131, 9393, 28179, 19000, 57000, 39926, 54241, 31649, 29410, 22693, 2542, 7626, 22878, 3097, 9291, 27873, 18082, 54246, 31664, 29455, 22828, 2947, 8841, 26523, 14032, 42096, 60751, 51179, 22463, 1852, 5556, 16668, 50004, 18938, 56814, 39368, 52567, 26627, 14344, 43032, 63559, 59603, 47735, 12131, 36393, 43642, 65389, 65093, 64205, 61541, 53549, 29573, 23182, 4009, 12027, 36081, 42706, 62581, 56669, 38933, 51262, 22712, 2599, 7797, 23391, 4636, 13908, 41724, 59635, 47831, 12419, 37257, 46234, 7628, 22884, 3115, 9345, 28035, 18568, 55704, 36038, 42577, 62194, 55508, 35450, 40813, 56902, 39632, 53359, 29003, 21472, 64416, 62174, 55448, 35270, 40273, 55282, 34772, 38779, 50800, 21326, 63978, 60860, 51506, 23444, 4795, 14385, 43155, 63928, 60710, 51056, 22094, 745, 2235, 6705, 20115, 60345, 49961, 18809, 56427, 38207, 49084, 16178, 48534, 14528, 43584, 65215, 64571, 62639, 56843, 39455, 52828, 27410, 16693, 50079, 19163, 57489, 41393, 58642, 44852, 3482, 10446, 31338, 28477, 19894, 59682, 47972, 12842, 38526, 50041, 19049, 57147, 40367, 55564, 35618, 41317, 58414, 44168, 1430, 4290, 12870, 38610, 50293, 19805, 59415, 47171, 10439, 31317, 28414, 19705, 59115, 46271, 7739, 23217, 4114, 12342, 37026, 45541, 5549, 16647, 49941, 18749, 56247, 37667, 47464, 11318, 33954, 36325, 43438, 64777, 63257, 58697, 45017, 3977, 11931, 35793, 41842, 59989, 48893, 15605, 46815, 9371, 28113, 18802, 56406, 38144, 48895, 15611, 46833, 9425, 28275, 19288, 57864, 42518, 62017, 54977, 33857, 36034, 42565, 62158, 55400, 35126, 39841, 53986, 30884, 27115, 15808, 47424, 11198, 33594, 35245, 40198, 55057, 34097, 36754, 44725, 3101, 9303, 27909, 18190, 54570, 32636, 32371, 31576, 29191, 22036, 571, 1713, 5139, 15417, 46251, 7679, 23037, 3574, 10722, 32166, 30961, 27346, 16501, 49503, 17435, 52305, 25841, 11986, 35958, 42337, 61474, 53348, 28970, 21373, 64119, 61283, 52775, 27251, 16216, 48648, 14870, 44610, 2756, 8268, 24804, 8875, 26625, 14338, 43014, 63505, 59441, 47249, 10673, 32019, 30520, 26023, 12532, 37596, 47251, 10679, 32037, 30574, 26185, 13018, 39054, 51625, 23801, 5866, 17598, 52794, 27308, 16387, 49161, 16409, 49227, 16607, 49821, 18389, 55167, 34427, 37744, 47695, 12011, 36033, 42562, 62149, 55373, 35045, 39598, 53257, 28697, 20554, 61662, 53912, 30662, 26449, 13810, 41430, 58753, 45185, 4481, 13443, 40329, 55450, 35276, 40291, 55336, 34934, 39265, 52258, 25700, 11563, 34689, 38530, 50053, 19085, 57255, 40691, 56536, 38534, 50065, 19121, 57363, 41015, 57508, 41450, 58813, 45365, 5021, 15063, 45189, 4493, 13479, 40437, 55774, 36248, 43207, 64084, 61178, 52460, 26306, 13381, 40143, 54892, 33602, 35269, 40270, 55273, 34745, 38698, 50557, 20597, 61791, 54299, 31823, 29932, 24259, 7240, 21720, 65160, 64406, 62144, 55358, 35000, 39463, 52852, 27482, 16909, 50727, 21107, 63321, 58889, 45593, 5705, 17115, 51345, 22961, 3346, 10038, 30114, 24805, 8878, 26634, 14365, 43095, 63748, 60170, 49436, 17234, 51702, 24032, 6559, 19677, 59031, 46019, 6983, 20949, 62847, 57467, 41327, 58444, 44258, 1700, 5100, 15300, 45900, 6626, 19878, 59634, 47828, 12410, 37230, 46153, 7385, 22155, 928, 2784, 8352, 25056, 9631, 28893, 21142, 63426, 59204, 46538, 8540, 25620, 11323, 33969, 36370, 43573, 65182, 64472, 62342, 55952, 36782, 44809, 3353, 10059, 30177, 24994, 9445, 28335, 19468, 58404, 44138, 1340, 4020, 12060, 36180, 43003, 63472, 59342, 46952, 9782, 29346, 22501, 1966, 5898, 17694, 53082, 28172, 18979, 56937, 39737, 53674, 29948, 24307, 7384, 22152, 919, 2757, 8271, 24813, 8902, 26706, 14581, 43743, 155, 465, 1395, 4185, 12555, 37665, 47458, 11300, 33900, 36163, 42952, 63319, 58883, 45575, 5651, 16953, 50859, 21503, 64509, 62453, 56285, 37781, 47806, 12344, 37032, 45559, 5603, 16809, 50427, 20207, 60621, 50789, 21293, 63879, 60563, 50615, 20771, 62313, 55865, 36521, 44026, 1004, 3012, 9036, 27108, 15787, 47361, 11009, 33027, 33544, 35095, 39748, 53707, 30047, 24604, 8275, 24825, 8938, 26814, 14905, 44715, 3071, 9213, 27639, 17380, 52140, 25346, 10501, 31503, 28972, 21379, 64137, 61337, 52937, 27737, 17674, 53022, 27992, 18439, 55317, 34877, 39094, 51745, 24161, 6946, 20838, 62514, 56468, 38330, 49453, 17285, 51855, 24491, 7936, 23808, 5887, 17661, 52983, 27875, 18088, 54264, 31718, 29617, 23314, 4405, 13215, 39645, 53398, 29120, 21823, 65469, 65333, 64925, 63701, 60029, 49013, 15965, 47895, 12611, 37833, 47962, 12812, 38436, 49771, 18239, 54717, 33077, 33694, 35545, 41098, 57757, 42197, 61054, 52088, 25190, 10033, 30099, 24760, 8743, 26229, 13150, 39450, 52813, 27365, 16558, 49674, 17948, 53844, 30458, 25837, 11974, 35922, 42229, 61150, 52376, 26054, 12625, 37875, 48088, 13190, 39570, 53173, 28445, 19798, 59394, 47108, 10250, 30750, 26713, 14602, 43806, 344, 1032, 3096, 9288, 27864, 18055, 54165, 31421, 28726, 20641, 61923, 54695, 33011, 33496, 34951, 39316, 52411, 26159, 12940, 38820, 50923, 21695, 65085, 64181, 61469, 53333, 28925, 21238, 63714, 60068, 49130, 16316, 48948, 15770, 47310, 10856, 32568, 32167, 30964, 27355, 16528, 49584, 17678, 53034, 28028, 18547, 55641, 35849, 42010, 60493, 50405, 20141, 60423, 50195, 19511, 58533, 44525, 2501, 7503, 22509, 1990, 5970, 17910, 53730, 30116, 24811, 8896, 26688, 14527, 43581, 65206, 64544, 62558, 56600, 38726, 50641, 20849, 62547, 56567, 38627, 50344, 19958, 59874, 48548, 14570, 43710, 56, 168, 504, 1512, 4536, 13608, 40824, 56935, 39731, 53656, 29894, 24145, 6898, 20694, 62082, 55172, 34442, 37789, 47830, 12416, 37248, 46207, 7547, 22641, 2386, 7158, 21474, 64422, 62192, 55502, 35432, 40759, 56740, 39146, 51901, 24629, 8350, 25050, 9613, 28839, 20980, 62940, 57746, 42164, 60955, 51791, 24299, 7360, 22080, 703, 2109, 6327, 18981, 56943, 39755, 53728, 30110, 24793, 8842, 26526, 14041, 42123, 60832, 51422, 23192, 4039, 12117, 36351, 43516, 65011, 63959, 60803, 51335, 22931, 3256, 9768, 29304, 22375, 1588, 4764, 14292, 42876, 63091, 58199, 43523, 65032, 64022, 60992, 51902, 24632, 8359, 25077, 9694, 29082, 21709, 65127, 64307, 61847, 54467, 32327, 31444, 28795, 20848, 62544, 56558, 38600, 50263, 19715, 59145, 46361, 8009, 24027, 6544, 19632, 58896, 45614, 5768, 17304, 51912, 24662, 8449, 25347, 10504, 31512, 28999, 21460, 64380, 62066, 55124, 34298, 37357, 46534, 8528, 25584, 11215, 33645, 35398, 40657, 56434, 38228, 49147, 16367, 49101, 16229, 48687, 14987, 44961, 3809, 11427, 34281, 37306, 46381, 8069, 24207, 7084, 21252, 63756, 60194, 49508, 17450, 52350, 25976, 12391, 37173, 45982, 6872, 20616, 61848, 54470, 32336, 31471, 28876, 21091, 63273, 58745, 45161, 4409, 13227, 39681, 53506, 29444, 22795, 2848, 8544, 25632, 11359, 34077, 36694, 44545, 2561, 7683, 23049, 3610, 10830, 32490, 31933, 30262, 25249, 10210, 30630, 26353, 13522, 40566, 56161, 37409, 46690, 8996, 26988, 15427, 46281, 7769, 23307, 4384, 13152, 39456, 52831, 27419, 16720, 50160, 19406, 58218, 43580, 65203, 64535, 62531, 56519, 38483, 49912, 18662, 55986, 36884, 45115, 4271, 12813, 38439, 49780, 18266, 54798, 33320, 34423, 37732, 47659, 11903, 35709, 41590, 59233, 46625, 8801, 26403, 13672, 41016, 57511, 41459, 58840, 45446, 5264, 15792, 47376, 11054, 33162, 33949, 36310, 43393, 64642, 62852, 57482, 41372, 58579, 44663, 2915, 8745, 26235, 13168, 39504, 52975, 27851, 18016, 54048, 31070, 27673, 17482, 52446, 26264, 13255, 39765, 53758, 30200, 25063, 9652, 28956, 21331, 63993, 60905, 51641, 23849, 6010, 18030, 54090, 31196, 28051, 18616, 55848, 36470, 43873, 545, 1635, 4905, 14715, 44145, 1361, 4083, 12249, 36747, 44704, 3038, 9114, 27342, 16489, 49467, 17327, 51981, 24869, 9070, 27210, 16093, 48279, 13763, 41289, 58330, 43916, 674, 2022, 6066, 18198, 54594, 32708, 32587, 32224, 31135, 27868, 18067, 54201, 31529, 29050, 21613, 64839, 63443, 59255, 46691, 8999, 26997, 15454, 46362, 8012, 24036, 6571, 19713, 59139, 46343, 7955, 23865, 6058, 18174, 54522, 32492, 31939, 30280, 25303, 10372, 31116, 27811, 17896, 53688, 29990, 24433, 7762, 23286, 4321, 12963, 38889, 51130, 22316, 1411, 4233, 12699, 38097, 48754, 15188, 45564, 5618, 16854, 50562, 20612, 61836, 54434, 32228, 31147, 27904, 18175, 54525, 32501, 31966, 30361, 25546, 11101, 33303, 34372, 37579, 47200, 10526, 31578, 29197, 22054, 625, 1875, 5625, 16875, 50625, 20801, 62403, 56135, 37331, 46456, 8294, 24882, 9109, 27327, 16444, 49332, 16922, 50766, 21224, 63672, 59942, 48752, 15182, 45546, 5564, 16692, 50076, 19154, 57462, 41312, 58399, 44123, 1295, 3885, 11655, 34965, 39358, 52537, 26537, 14074, 42222, 61129, 52313, 25865, 12058, 36174, 42985, 63418, 59180, 46466, 8324, 24972, 9379, 28137, 18874, 56622, 38792, 50839, 21443, 64329, 61913, 54665, 32921, 33226, 34141, 36886, 45121, 4289, 12867, 38601, 50266, 19724, 59172, 46442, 8252, 24756, 8731, 26193, 13042, 39126, 51841, 24449, 7810, 23430, 4753, 14259, 42777, 62794, 57308, 40850, 57013, 39965, 54358, 32000, 30463, 25852, 12019, 36057, 42634, 62365, 56021, 36989, 45430, 5216, 15648, 46944, 9758, 29274, 22285, 1318, 3954, 11862, 35586, 41221, 58126, 43304, 64375, 62051, 55079, 34163, 36952, 45319, 4883, 14649, 43947, 767, 2301, 6903, 20709, 62127, 55307, 34847, 39004, 51475, 23351, 4516, 13548, 40644, 56395, 38111, 48796, 15314, 45942, 6752, 20256, 60768, 51230, 22616, 2311, 6933, 20799, 62397, 56117, 37277, 46294, 7808, 23424, 4735, 14205, 42615, 62308, 55850, 36476, 43891, 599, 1797, 5391, 16173, 48519, 14483, 43449, 64810, 63356, 58994, 45908, 6650, 19950, 59850, 48476, 14354, 43062, 63649, 59873, 48545, 14561, 43683, 65512, 65462, 65312, 64862, 63512, 59462, 47312, 10862, 32586, 32221, 31126, 27841, 17986, 53958, 30800, 26863, 15052, 45156, 4394, 13182, 39546, 53101, 28229, 19150, 57450, 41276, 58291, 43799, 323, 969, 2907, 8721, 26163, 12952, 38856, 51031, 22019, 520, 1560, 4680, 14040, 42120, 60823, 51395, 23111, 3796, 11388, 34164, 36955, 45328, 4910, 14730, 44190, 1496, 4488, 13464, 40392, 55639, 35843, 41992, 60439, 50243, 19655, 58965, 45821, 6389, 19167, 57501, 41429, 58750, 45176, 4454, 13362, 40086, 54721, 33089, 33730, 35653, 41422, 58729, 45113, 4265, 12795, 38385, 49618, 17780, 53340, 28946, 21301, 63903, 60635, 50831, 21419, 64257, 61697, 54017, 30977, 27394, 16645, 49935, 18731, 56193, 37505, 46978, 9860, 29580, 23203, 4072, 12216, 36648, 44407, 2147, 6441, 19323, 57969, 42833, 62962, 57812, 42362, 61549, 53573, 29645, 23398, 4657, 13971, 41913, 60202, 49532, 17522, 52566, 26624, 14335, 43005, 63478, 59360, 47006, 9944, 29832, 23959, 6340, 19020, 57060, 40106, 54781, 33269, 34270, 37273, 46282, 7772, 23316, 4411, 13233, 39699, 53560, 29606, 23281, 4306, 12918, 38754, 50725, 21101, 63303, 58835, 45431, 5219, 15657, 46971, 9839, 29517, 23014, 3505, 10515, 31545, 29098, 21757, 65271, 64739, 63143, 58355, 43991, 899, 2697, 8091, 24273, 7282, 21846]

 # Calculate Gaussian periods
 [1]_{8} = [1]+[6561]+[54449]+[63239]+[61869]+[51868]+[37844]+[40328]+[19139]+[2087]+[61111]+[59442]+[53812]+[12713]+[46929]+[8343]+[15028]+[31060]+[30127]+[3655]+[59450]+[40763]+[55083]+[28545]+[44536]+[36750]+[6127]+[25066]+[25693]+[10609]+[5355]+[6323]+[282]+[15166]+[18960]+[7334]+[14216]+[12025]+[55014]+[34595]+[23164]+[64238]+[62608]+[50709]+[35937]+[46068]+[61041]+[58931]+[43528]+[42499]+[41541]+[47655]+[52965]+[26191]+[1137]+[54176]+[41585]+[8654]+[23852]+[56153]+[36356]+[42573]+[2759]+[13587]+[13987]+[16907]+[38223]+[36541]+[11155]+[48663]+[47216]+[56314]+[44085]+[26904]+[26003]+[12872]+[41536]+[14850]+[42868]+[37681]+[19477]+[56984]+[48976]+[3625]+[59231]+[45718]+[58486]+[7511]+[61384]+[15559]+[41490]+[40729]+[28620]+[12315]+[57131]+[30388]+[12114]+[49110]+[30818]+[15253]+[65471]+[25733]+[10901]+[20594]+[45477]+[50173]+[58239]+[25369]+[47566]+[58869]+[29968]+[9048]+[52943]+[12923]+[48462]+[39195]+[56744]+[47224]+[43265]+[20918]+[8520]+[62196]+[34594]+[16603]+[9789]+[64906]+[54377]+[49606]+[8224]+[20713]+[39792]+[41441]+[46925]+[47636]+[59380]+[40252]+[44799]+[58331]+[39148]+[10525]+[44064]+[20197]+[62240]+[61130]+[53027]+[39751]+[34588]+[42774]+[10780]+[13157]+[10848]+[546]+[43308]+[40893]+[56032]+[28919]+[7944]+[18669]+[64193]+[29511]+[25373]+[8273]+[14517]+[20776]+[59913]+[63804]+[33225]+[13163]+[50214]+[65092]+[29520]+[18885]+[39555]+[59372]+[53301]+[2429]+[11178]+[2955]+[54340]+[3460]+[25258]+[40202]+[44434]+[22898]+[22974]+[62851]+[6607]+[28570]+[11950]+[21698]+[14214]+[64440]+[11653]+[39191]+[30500]+[26039]+[52457]+[35590]+[63196]+[41894]+[4356]+[5584]+[1441]+[17073]+[13220]+[30969]+[22909]+[29608]+[6420]+[46866]+[53759]+[58202]+[44760]+[64600]+[12821]+[34610]+[56042]+[28992]+[28138]+[61226]+[27513]+[23895]+[10591]+[18331]+[9296]+[41646]+[15653]+[2854]+[47049]+[9219]+[60745]+[17448]+[48726]+[1800]+[13140]+[30385]+[57968]+[16837]+[37712]+[26257]+[40941]+[43275]+[20991]+[28714]+[39216]+[63451]+[10987]+[60544]+[9427]+[49156]+[4939]+[29501]+[25300]+[53616]+[37497]+[57456]+[65529]+[13049]+[23167]+[18384]+[29344]+[43815]+[24933]+[5061]+[43499]+[48841]+[35408]+[48760]+[28263]+[29370]+[17790]+[64330]+[10850]+[13668]+[21132]+[36297]+[48696]+[1581]+[18095]+[33788]+[36934]+[33685]+[16521]+[61620]+[56604]+[46202]+[22697]+[14953]+[63281]+[9746]+[44931]+[6865]+[17346]+[34874]+[18647]+[50925]+[11299]+[10392]+[23432]+[53087]+[40189]+[24678]+[35968]+[52848]+[44998]+[53230]+[60894]+[11982]+[35039]+[52620]+[56441]+[25351]+[60542]+[61842]+[5795]+[9535]+[36837]+[52638]+[43465]+[22378]+[19178]+[61355]+[21901]+[35357]+[41834]+[3918]+[15494]+[8247]+[40542]+[46916]+[54124]+[28098]+[60934]+[12274]+[50278]+[26237]+[40795]+[2887]+[1414]+[36537]+[50448]+[27478]+[56408]+[5449]+[33224]+[6602]+[61302]+[1853]+[33188]+[32554]+[1711]+[19044]+[34162]+[342]+[15604]+[9050]+[528]+[56284]+[43866]+[31859]+[29406]+[57375]+[58384]+[59196]+[12694]+[53344]+[22404]+[58690]+[35215]+[27690]+[5526]+[14125]+[4807]+[15430]+[47102]+[29267]+[62914]+[26728]+[50933]+[63787]+[52762]+[5048]+[23743]+[61911]+[65282]+[30907]+[9349]+[61694]+[17822]+[12134]+[49256]+[5669]+[34830]+[57648]+[14501]+[46874]+[40710]+[35035]+[26376]+[35256]+[34543]+[9677]+[50981]+[51030]+[44834]+[25818]+[44290]+[61169]+[46758]+[541]+[10503]+[30796]+[1985]+[47259]+[10752]+[26060]+[59164]+[64890]+[14938]+[30403]+[44992]+[13864]+[61885]+[25770]+[57047]+[3560]+[25988]+[45531]+[11245]+[49320]+[32351]+[46105]+[41650]+[41897]+[24039]+[37857]+[60084]+[6069]+[37750]+[13427]+[12819]+[21488]+[12681]+[33588]+[35474]+[23027]+[17362]+[8776]+[37850]+[14157]+[18148]+[53836]+[39103]+[42965]+[18728]+[58070]+[30689]+[20865]+[54009]+[60027]+[25314]+[14396]+[13339]+[25284]+[14177]+[18294]+[28687]+[58680]+[35142]+[7496]+[28506]+[50805]+[10423]+[30212]+[37044]+[34488]+[42044]+[5451]+[46346]+[49963]+[56706]+[60054]+[5850]+[42705]+[16830]+[57322]+[38336]+[57027]+[3414]+[51137]+[25954]+[19068]+[60552]+[61915]+[25989]+[52092]+[157]+[47022]+[28683]+[32436]+[13957]+[16688]+[43178]+[39944]+[55658]+[65511]+[26025]+[26140]+[59748]+[29831]+[27709]+[64648]+[64]+[26682]+[11275]+[49539]+[27396]+[42702]+[62684]+[25049]+[45230]+[2494]+[44421]+[3142]+[36044]+[27188]+[54291]+[9656]+[44274]+[21730]+[27555]+[37309]+[3654]+[52889]+[51851]+[57381]+[32213]+[58205]+[64443]+[31336]+[5927]+[23606]+[15035]+[11450]+[18048]+[53106]+[33774]+[10617]+[57843]+[48693]+[47435]+[51359]+[40682]+[47938]+[9155]+[34063]+[6173]+[64724]+[39941]+[35975]+[33238]+[32919]+[37144]+[35218]+[47373]+[37799]+[7231]+[59340]+[39960]+[29560]+[19177]+[54794]+[32989]+[37655]+[45502]+[17587]+[43187]+[33456]+[21403]+[44829]+[58550]+[34193]+[7122]+[65098]+[3349]+[17894]+[25767]+[37364]+[36824]+[32882]+[56535]+[52252]+[1325]+[42441]+[54225]+[35389]+[55175]+[42324]+[7495]+[21945]+[61893]+[12721]+[33880]+[50713]+[62181]+[1716]+[51849]+[44259]+[54389]+[62801]+[6242]+[58674]+[61313]+[8487]+[42294]+[7276]+[26900]+[65296]+[57224]+[50728]+[29522]+[32007]+[17379]+[54776]+[45965]+[40628]+[21329]+[18074]+[27081]+[7634]+[16406]+[28012]+[20984]+[48324]+[51295]+[14000]+[36663]+[2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= 
 195.13581874205423

 # Difference
 [1]_{8} - [9]_{8} = 
 -257.4785285876933