# Stored data for newform 350.6.a.p, downloaded from the LMFDB on 11 April 2026.
{"Nk2": 12600, "analytic_conductor": 56.13433693454322, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, 1], [7, 1]], "atkin_lehner_string": "+++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [350, 1, [127, 101], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 1129, "field_disc_factorization": [[1129, 1]], "field_poly": [-282, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-276, 5, 1]], [13, [11858, 429, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994511221086, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "350.6.a.p", "level": 350, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 7], "level_radical": 70, "minimal_twist": "70.6.a.h", "nf_label": "2.2.1129.1", "prim_orbit_index": 1, "qexp_display": "q-4q^{2}+(-2-\\beta )q^{3}+2^{4}q^{4}+(8+4\\beta )q^{6}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "350.6.a", "trace_display": [-8, -5, 0, -98], "trace_hash": 1629037817702874046, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.547", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "64.397", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 2, -8, -5, 32, 0, 20, -98, -128, 91, 0, 415, -80, -429, 392, 0, 512, -1319, -364, 1918, 0, 245, -1660, 1334, 320, 0, 1716, -1835, -1568, -1131, 0, -5472, -2048, 6301, 5276, 0, 1456, 9156, -7672, -5137, 0, -7822, -980, -2078, 6640, 0, -5336, 8507, -1280, 4802, 0, -33395, -6864, 34242, 7340, 0, 6272, 59558, 4524, 6952, 0, -45138, 21888, -4459, 8192, 0, -25204, 54556, -21104, 51986, 0, -62272, -5824, -40896, -36624, 0, 30688, -20335, 20548, 62069, 0, -121958, 31288, -189600, 3920, 0, 8312, -49671, -26560, 64190, 0, 21021, 21344, -239216, -34028, 0, 5120, -155547, -19208, -17810, 0, -122328, 133580, -335641, 27456, 0, -136968, -169294, -29360, -135861, 0, 67430, -25088, 6860, -238232, 0, -18096, 11528, -27808, 64631, 0, -140589, 180552, -47056, -87552, 0, 17836, 284140, -32768, -637206, 0, -64038, 100816, -93982, -218224, 0, 84416, 18194, -207944, -962, 0, -838099, 249088, -169741, 23296, 0, 163584, -12005, 146496, 40152, 0, -339035, -122752, 123448, 81340, 0, -82192, 595688, -248276, 480024, 0, -65366, 487832, -722606, -125152, 0, 758400, -753065, -15680, -582261, 0, -234496, -33248, -562427, 198684, 0, 106240, -279308, -256760, 821608, 0, -347426, -84084, 459448, -85376, 0, 956864, -750695, 136112, 89915, 0, 1059251, -20480, 833754, 622188, 0, 76832, -17058, 71240, -637796, 0, -463800, 489312, 55419, -534320, 0, 1342564, -215908, -109824, 1234574, 0, -1651271, 547872, 1257584, 677176, 0, 117440, 268128, 543444, 1066406, 0, 686543, -269720, 1607383, 100352, 0, -27440, -756105, 952928, -843714, 0, -308749, 72384, -658450, -46112, 0, 111232, -1506021, -258524, 1990073, 0, -1157728, 562356, 1179820, -722208, 0, 188224, -1119294, 350208, 460452, 0, 2615362, -71344, 995978, -1136560, 0, 131072, -551252, 2548824, -448644, 0, 211032, 256152, 1970070, -403264, 0, 375928, -1724140, 872896, -226656, 0, -2540296, -337664, 251713, -72776, 0, 831776, 792680, 3848, 1015504, 0, 1666069, 3352396, 1937273, -996352, 0, 678964, 383278, -93184, 415179, 0, 914417, -654336, 1525833, 48020, 0, -585984, -1738385, -160608, -894674, 0, 101822, 1356140, -1272522, 491008, 0, -493792, -1658599, -325360, 1839961, 0, 3911234, 328768, -585381, -2382752, 0, 993104, 1193836, -1920096, -917163, 0, 3059450, 261464, -5447866, -1951328, 0, 2890424, 315379, 500608, -416843, 0, -1139448, -3033600, -35002, 3012260, 0, 62720, -4883860, 2329044, 1978922, 0, -4423088, 937984, -235298, 132992, 0, 2249708, 3776022, -794736, 206188, 0, 1542365, -424960, -2144091, 1117232, 0, 1027040, 1636355, -3286432, -3252416, 0, 4223406, 1389704, 3396950, 336336, 0, -1837792, 558051, 341504, -22846, 0, -1677858, -3827456, -4944130, 3002780, 0, -544448, 820083, -359660, 3792, 0, 1170564, -4237004, 3222444, 81920, 0, -3335016, 3117456, -2488752, -6231249, 0, -4475638, -307328, -8344662, 68232, 0, -284960, 595005, 2551184, -2918342, 0, 803955, 1855200, 3955600, -1957248, 0, -221676, 3074030, 2137280, -3845580, 0, -14025892, -5370256, -340648, 863632, 0, 439296, 473198, -4938296, -6020148, 0, -6764013, 6605084, 4471226, -2191488, 0, -5030336, 2211762, -2708704, -2438227, 0, 3387471, -469760, -297320, -1072512, 0, -2173776, 7585900, -4265624, 489406, 0, 218491, -2746172, 2523850, 1078880, 0, -6429532, 1816662, -401408, 4710145, 0, -2489008, 109760, -7584349, 3024420, 0, -3811712, -1661430, 3374856, 7998295, 0, 3945950, 1234996, -4291648, -289536, 0, 2633800, -973411, 184448, -2673244, 0, 4695442, -444928, -8782398, 6024084, 0, 1034096, -1270134, -7960292, 3817998, 0, -2957482, 4630912, -2547314, -2249424, 0, -4719280, 200194, 2888832, 4469826, 0, -5096115, -752896, 4158297, 4477176, 0, -1400832, 3051328, -1841808, 6534267, 0, 10100089, -10461448, 3521633, 285376, 0, -3983912, 4119528, 4546240, 5563712, 0, 2003904, -524288, -13665070, 2205008, 0, -10195296, -8853607, 1794576, 8990125, 0, 10544196, -844128, -2909368, -1024608, 0, -7880280, 20047024, 1613056, -6561450, 0, 1625956, -1503712, 2410540, 6896560, 0, -3491584, -15159452, 906624, 996415, 0, 5960005, 10161184, -1891840, 1350656, 0, -1006852, 3124308, 291104, -3786794, 0, -7069458, -3327104, -3041381, -3170720, 0, -15392, 17298794, -4062016, 7512142, 0, -10576697, -6664276, 5562576, -13409584, 0, -7749092, 5975942, 3985408, -10118892, 0, 13255488, -2715856, 1371677, -1533112, 0, 372736, -2685049, -1660716, 9735116, 0, 9290400, -3657668, 14458392, 2617344, 0, -6103332, 6638532, -192080, -34077792, 0, 5912316, 2343936, -15969513, 6953540, 0, 642432, 9797804, 3578696, -7813201, 0, 12139300, -407288, 4119348, -5424560, 0, 5090088, -29515943, -1964032, 2433879, 0, 7160395, 1975168, 21927536, 6634396, 0, 1301440, 14696840, -7359844, -12205638, 0, -11458330, -15644936, -3145310, -1315072, 0, 2341524, 17304434, 9531008, -11909182, 0, -15471121, -3972416, -4635685, -4775344, 0, 7680384, -1030029, 3668652, -8342896, 0, 23703012, -12237800, -396141, -1045856, 0, 21791464, -3257416, 7805312, -1962524, 0, 11721584, -11561696, 15221320, -1261516, 0, -2002432, -6681598, 1667372, 19256179, 0, -913538, 4557792, 10249349, 12134400, 0, 140008, -5899230, -12049040, -16547535, 0, -4860296, -250880, 27523346, 19535440, 0, -9316176, -36260757, -7915688, 7621803, 0, 22278309, 17692352, 3779692, -3751936, 0, 941192, -17920304, -531968, -13566828, 0, -17743032, -8998832, 872690, -15104088, 0, 3178944, 9488324, -824752, 20661872, 0, -7349343, -6169460, 19077084, 1699840, 0, 8576364, 5994072, -4468928, -29866923, 0, 9578382, -4108160, -28433632, -6545420, 0, 13145728, 20054183, 13009664, 33372150, 0, 16446409, -16893624, 11160858, -5558816, 0, -13587800, -25617416, -1345344, 16568146, 0, 43126506, 7351168, -1406801, -2232204, 0, -1366016, 7064040, 91384, 7783775, 0, -16960394, 6711432, 3427560, 15309824, 0, 19776520, -8559060, -12011120, 8295406, 0, 33489621, 2177792, 12888298, -3280332, 0, 1438640, 16251074, -15168, 13883942, 0, 1817288, -4682256, 6657189, 16948016, 0, -12889776, 1390004, -327680, 9182628, 0, -3896558, 13340064, -13250293, -12469824, 0, 9955008, -3304070, 24924996, -15094952, 0, 1403312, 17902552, 10749915, 1229312, 0, 33378648, -36753961, -272928, 2428002, 0, -336140, 1139840, 5869468, -2380020, 0, -10204736, 27129093, 11673368, 47483681, 0, 10738970, -3215820, 4048238, -7420800, 0, -15822400, 22792134, 7828992, 14548531, 0, -53168134, 886704, 18566520, -12296120, 0, -8549120, -75226516, 15382320, -564872, 0, -4975289, 56103568, -17980200, 21481024, 0, 1362592, -28653258, -3454528, -62386274, 0, -60773246, -1757184, -3166919, -1892792, 0, 19753184, 51806320, 24080592, 9069234, 0, -35500357, 27056052, -6877595, -26420336, 0, -17884904, 6888861, 8765952, -9813605, 0, 14958412, 20121344, -12608016, -8847048, 0, 10834816, -20162312, 9752908, 12011224, 0, 2305744, -13549884, 55522572, 1879040, 0, 1189280, 47359460, 4290048, -4681713, 0, -8100752, 8695104, -9705136, -30343600, 0, 17062496, -25677160, -1957624, 35144385, 0, -56390094, -873964, 4530936, 10984688, 0, -10095400, -25983256, -4315520, -13922860, 0, -19729025, 25718128, -84960578, -7266648, 0, 1605632, -13771406, -18840580, 26613744, 0, -59348484, 9956032, 31223094, -439040, 0, 30337396, -16452566, -12097680, 2325786, 0, 3489528, 15246848, -39518124, 6645720, 0, -13499424, 3137862, -31993180, -14136399, 0, 24510835, -15783800, 1236400, -4939984, 0, 17166592, -20275958, 1158144, 43060042, 0, 4605118, -10535200, 1732070, 3893644, 0, -737792, -25786283, 10692976, 66027011, 0, 6186966, -18781768, -11745152, 1779712, 0, 35129592, 38908920, -24096336, -1833634, 0, -61218410, -4136384, -62464854, 5080536, 0, 31841168, -12750453, -15271992, -891506, 0, 71010498, 11829928, -20883952, -18523648, 0, 10189256, -75712566, 8997696, -64009246, 0, -66689784, 18877120, 47138, -800776, 0, -11555328, -4436760, -17879304, -7008220, 0, -6060308, 20384460, -36437519, 3011584, 0, -16633188, 41066851, -17908704, -64341324, 0, -21730008, 5603328, -104867012, -12205312, 0, 7367232, -11473015, -26137068, -25109830, 0, 8317309, -40400356, 12440476, 41845792, 0, -14086532, 97319784, -1141504, -22243697, 0, -31712966, 15935648, -25053612, -16478112, 0, -18184960, -9668230, -22254848, 21676012, 0, -10751876, -8015616, -61496336, 2097152, 0, 54660280, 1545533, -8820032, 588245, 0, -81989053, 40781184, -5023672, 35414428, 0, -7178304, 7239316, -35960500, -31226102, 0, -34290474, -42176784, -1967448, 3376512, 0, 11637472, 131523338, 4098432, -19783898, 0, 42600979, 31521120, 21440771, -80188096, 0, -6452224, 16612715, 26245800, 19451841, 0, -3903201, -6503824, 6880964, 6014848, 0, -9642160, -25443859, -27586240, -70264426, 0, -6048952, 13966336, -13577478, 60637808, 0, -3626496, -32856176, -3985660, 40818228, 0, -74375318, -23840020, 112870539, -40644736, 0, 7567360, -48995700, -5402624, -21624187, 0, -90238040, 4027408, -9147372, -12497232, 0, -1164416, -25783340, 15147176, -29188712, 0, 78348965, 28277832, 26740700, 13308416, 0, 12165524, 19499720, 12682880, 11972216, 0, -45901506, 61568, -23521176, -69195176, 0, 16248064, 55990278, -30048568, 238252, 0, -23192824, 42306788, 42390539, 26657104, 0, -22250304, 3202934, 53638336, 40335499, 0, 12722193, 30996368, -56634347, -23903768, 0, -15941632, -40621868, 40475568, -14698032, 0, 35407694, -53021952, 3523800, 10863424, 0, -5486708, -65514176, 6132448, 12665556, 0, 36829232, -1490944, 21437528, 10740196, 0, 6642864, 3431560, -38940464, -3774600, 0, 120750750, -37161600, -15243446, 14630672, 0, -57833568, -5402649, -10469376, 36900185, 0, 55775085, 24413328, -49769002, -26554128, 0, 768320, -857710, 136311168, 39610056, 0, 82972186, -23649264, 28530789, -9375744, 0, 63878052, 43150560, -27814160, 10618164, 0, 86070389, -2569728, 47583063, -39191216, 0, -14314784, 11490304, 31252804, -28506713, 0, -13848623, -48557200, 32793231, 1629152, 0, -16477392, -30555376, 21698240, 61346384, 0, 27558923, -20360352, -36274686, 118063772, 0, 7856128, -22302135, -9735516, 78271056, 0, 44651978, -28641580, 46417455, -7900672, 0, -87710144, -86667170, -26537584, -6055164, 0, 53798810, -5205760, 70729862, -58787360, 0, 29439376, -46519924, 48822552, 13686092, 0, -35699878, 45833320, 27372386, 62579744, 0, 12581240, 60918402, 5260288, -105857872, 0, -2397736, -9366096, -40258792, -69217736, 0, -38124032, 46163352, 47636728, 25047554, 0, 27583787, 61884484, 96859603, 15889664, 0, 18542740, 17023874, 19101376, 143308655, 0, 51242720, -30721536, 14994464, 4120116, 0, -14674608, -97916503, 33371584, 19282046, 0, -22512952, -94812048, 100639056, 48951200, 0, 1584564, 6589682, 4183424, -140500640, 0, 51143180, -87165856, -16450143, 13029664, 0, -31221248, -52526346, 7850096, 42943062, 0, 137682072, -46886336, -12738480, 46246784, 0, -60885280, 49046031, 5046064, 36784055, 0, 77011540, 8009728, 43601118, 26726392, 0, -6669488, 130134506, -77024716, -107573814, 0, 111623718, 3654152, -4405835, -18231168, 0, -40997396, -96374338, -48537600, 193481602, 0, -56417175, -560032, 293481056, 23596920, 0, 48196160, -51903299, 66190140, 60985551, 0, -7758294, 19441184, 46870647, 1003520, 0, -110093384, 96707425, -78141760, 65898208, 0, -40853946, 37264704, -36300136, 145043028, 0, 31662752, -21031960, -30487212, 26733590, 0, -34649518, -89113236, 71154621, -70769408, 0, -15118768, 39223546, 15007744, -82320546, 0, 151127924, -3764768, 58249328, 71681216, 0, 2127872, 52545001, 54267312, 835842, 0, 103876528, 70972128, 121436696, 35995328, 0, -3490760, 70695660, 60416352, -140629136, 0, 7315198, -12715776, 31252004, -37953296, 0, 3299008, 83410932, -82647488, 8930906, 0, -127289137, 29397372, 3860048, 24677840, 0, -76308336, 22726200, -6799360, -138630705, 0, 125921820, -34305456, -3819506, -23976288, 0, 17875712, 29409193, 119467692, -118966914, 0, -2715531, -38313528, -37611198, 16432640, 0, 113734528, 29560495, 26181680, -107556996, 0, -136058400, -52582912, -99509675, -80216732, 0, -52038656, -104926302, -133488600, 8300391, 0, -123849726, -65785636, -40407026, 67574496, 0, -44643432, 85465191, 22235264, 10579492, 0, -109816656, 54351200, -3706962, 102469664, 0, 5381376, 342665360, -66272584, -161428694, 0, 179221638, -172506024, -60494126, -29404672, 0, 5627204, -46195128, 8928816, -23428262, 0, 194812304, 5464064, 75841791, -28256160, 0, -365536, 80912279, -31135100, 44976627, 0, -40336269, 67841576, 42386735, -26845728, 0, -13710240, -229891361, -61239296, -133738026, 0, -61621616, -79106080, -155790422, 34236240, 0, 48044480, 94984297, -33181624, 40605589, 0, -94472558, -133958484, -75351590, -8711168, 0, -51553192, -177970036, 13121328, -18335665, 0, 224553254, -5754560, 59304920, -65004296, 0, 60672, -46466876, -55535768, -13138272, 0, -39812253, -7269152, -133070316, 18729024, 0, -26628756, 66157142, -67792064, 5920694, 0, 81073884, 51559104, -52253894, -5560016, 0, 1310720, -71967348, -36730512, -68049442, 0, 4302672, 15586232, -140478917, -53360256, 0, 53001172, -33640607, 49879296, -20322500, 0, -116144209, -39820032, 52707727, 13216280, 0, -99699984, -63510716, 60379808, -97418546, 0, -78761767, -5613248, -193624098, -71610208, 0, -42999660, 63953336, -4917248, 9414004, 0, 80476494, -133514592, -3343912, 147015844, 0, 1091712, -183370872, -9712008, 352959129, 0, 217058032, 1344560, -237562818, -4559360, 0, -23477872, 90201839, 9520080, 37049145, 0, -112297244, 40818944, 42078220, -108516372, 0, -46693472, 157382712, -189934724, 32547064, 0, 104291160, -42955880, 41341986, 12863280, 0, -16192952, -79601448, 29683200, 42436906, 0, 102910324, 63289600, -223616832, -91168536, 0, -31315968, 15128701, -58194124, -301907493, 0, -112256060, 212672536, -35626759, -3546816, 0, -74266080, -187530104, 49184480, -2005858, 0, 32264050, 34196480, 66451168, 300906064, 0, -61529280, 99492123, 2259488, 33253086, 0, -212274928, 19901156, -347087904, -224414272, 0, 71920800, -22707440, -85924096, 68422529, 0, -81638084, -5450368, -69064038, 114613032, 0, 13818112, 342417935, 249545096, 73795029, 0, -179964937, 243092984, -77799474, 7028736, 0, 12667676, 10852826, 7571168, 2839206, 0, -51401752, -79012736, -97513577, -207225280, 0, -96322368, 125466330, -36276936, 67210636, 0, -193260462, 142001428, 28110550, -108224208, 0, 27510380, 56728672, 105681344, -32589132, 0, -116699600, 71539616, 224148087, -27555444, 0, -35063808, -262402552, 39254420, -258627694, 0, -57811180, -59833648, 107288478, -80485376, 0, 50432064, 248514078, 35388192, 165454431, 0, 20427948, -43339264, 166509124, 80649248, 0, -39011632, 183267546, -48044896, 28096898, 0, -24021480, -9222976, -294263308, 54199536, 0, -222090288, 204005866, -7516160, 54845406, 0, -410641985, -4757120, -17905752, -189437840, 0, -17160192, -21161698, 18726852, -91747994, 0, 9146298, 32403008, -22562148, -34780416, 0, 38820544, 3126660, 121374400, 206864496, 0, 156299437, -68249984, 66372445, 102708640, 0, 7830496, -128152738, -140577540, -27453484, 0, -176334024, 225560376, 83930376, 3495856, 0, -18123744, -333402592, -43938752, -6708540, 0, -48802922, 40381600, -30124494, 103933024, 0, 17262080, 6647788, 55691440, 221363679, 0, 149881864, 78916100, 269281043, -102872512, 0, 339842312, -15279232, 29066592, 308639440, 0, -70036288, -6422528, -115317702, 55085624, 0, 75362320, -34412311, -106454976, 27011348, 0, -461475381, 237393936, -1599394, -39824128, 0, -124892376, -4972374, 1756160, 10515720, 0, 285365422, -121349584, 21983556, 65810264, 0, 48390720, -90983130, -9303144, -59704582, 0, 166911471, -13958112, -365158089, -60987392, 0, 158072496, -10340568, -26582880, 98323072, 0, -245096363, 53997696, 130897261, -12551448, 0, 127972720, -49434443, 56545596, -260565542, 0, -96533430, -98043340, -89256930, 63135200, 0, -4945600, 114229000, 19759936, 439194494, 0, 50626694, -68666368, 91178107, 81103832, 0, -4632576, -231184718, -172240168, -86188776, 0, -28817364, -18420472, -39302026, 42140800, 0, -6928280, 88076183, -15574576, 84482860, 0, -49416585, 2951168, 178691096, 103145132, 0, -42771904, -77635448, -264108044, 148460856, 0, -45781228, -24747864, 11106144, 75127072, 0, 46980608, -197771350, -7118848, -132597870, 0, -31780576, -140518368, 53628585, -155635680, 0, 96385344, 124474504, 7334536, -31313518, 0, 119922247, 244873640, -18110855, 16545536, 0, 249859416, -236976115, -20322144, -127790904, 0, -12333937, -127364672, 163186786, 51001812, 0, 61087968, -146717680, 3566024, -297243540, 0, -134268850, -284041992, 74000598, -47319712, 0, 83535808, 63115240, 74094592, 254921081, 0, 69127428, -40757024, 147555976, 302850264, 0, -35990784, -29700066, 256036984, -38841320, 0, -302182432, 266759136, -402288, -75508480, 0, -188552, -23935124, 3203104, 522322, 0, 56619598, 46221312, -49759696, 17747040, 0, 71517216, -207781850, 28032880, -198012278, 0, 247260516, 24241232, 165474309, -81537840, 0, 145750076, -81637381, -12046336, 113044, 0, -140848630, 66532752, 56272131, -164267404, 0, 71634816, -378860111, 257365296, 4933264, 0, -94926377, 86920032, 93763328, -22413312, 0, 419468048, 226375611, 48821248, -28590826, 0, -107976160, -29468928, 166729457, 45892060, 0, 104548272, -38726944, 100439320, 311516755, 0, -51552450, -33269236, 151422940, 161601424, 0, -49761904, 135781314, -167383168, -18780622, 0, 262872445, 56346128, -81551744, -389279136, 0, 4566016, 253625744, 88974788, -210998012, 0, 920715474, 126851864, -20343771, -63742592, 0, 100214448, -332900334, 65912448, 68400470, 0, -21987873, 72739840, 138175564, 38672920, 0, 89019392, -44806433, -86704048, -579861288, 0, -195806358, 43007504, -136343010, 32062464, 0, 245985344, -110424440, -8388608, 24382384, 0, -74765817, -218641120, 149176334, -6182132, 0, 35280128, -105237592, -2352980, -67262256, 0, 61758958, 327956212, -103856832, -163124736, 0, 20094688, -193723200, -141657712, -76723183, 0, -133057878, 28713216, 271982044, -28957264, 0, 143842000, -2585536, 124904408, 85180865, 0, -446723376, 137161896, -380744366, 168707136, 0, 7869792, 301629630, -13506048, 60299438, 0, 163713512, -46549888, 43839026, -526093352, 0, -16393728, -125038210, 79135592, -389508354, 0, 272052041, -170403916, 363598413, -126084480, 0, -85763084, -4989278, 320752384, 333532204, 0, 241729879, 25808896, -91264239, -66450860, 0, -104983200, -66540750, -77807364, 125702566, 0, 62353578, 15612804, 326657468, 26015296, 0, -27523856, -169529183, -24059392, 198427095, 0, -211859334, 38568640, 192958665, 101775436, 0, 110344960, -227015678, 281057704, -248955808, 0, 111321456, 24195808, 69128064, -55865344, 0, 54309912, 234130948, -242551232, 81271351, 0, -34598506, 14505984, -220155656, 131424704, 0, 15942640, -13946070, -163272912, -309649740, 0, 420223914, 297501272, -90158089, 95360080, 0, -451482156, 72766188, 162578944, -94009314, 0, 71140751, -30269440, -200664684, 195982800, 0, 21610496, -191650466, 86496748, 302592573, 0, 28741968, 360952160, -10082224, -16109632, 0, 36589488, -74069045, 49988928, -25699588, 0, 28683669, 4657664, 353970702, 103133360, 0, -60588704, 254877051, 116754848, -336677229, 0, -323276800, -313395860, -707842808, -113111328, 0, -106962800, -440594004, -53233664, 759449691, 0, 114581928, -48662096, 121844226, -77998880, 0, -50731520, -180700395, -47888864, -58497964, 0, 541096604, 183606024, 47865268, -246272, 0, 94084704, 595042266, 276780704, 527918352, 0, -52245998, -64992256, 44940987, -223961112, 0, 120194272, 61218978, -953008, 413510674, 0, 176464380, 92771296, 389772953, -169227152, 0, -169562156, -149913050, -106628416, 37215959, 0, 159839464, 89001216, 15487387, -12811736, 0, -214553344, -151185284, -161341996, 21865456, 0, 266945434, -50888772, -320054912, -123985472, 0, 226537388, 13398387, 95615072, -369597, 0, 320694088, 63766528, 125361240, 162487472, 0, -161902272, -36552436, 58792128, -679263240, 0, -293293628, -141630776, 292480874, 212087808, 0, -14095200, -404843181, -43453696, -15453571, 0, 90528891, 21946832, -224801604, 262056704, 0, -24529792, -64079038, -50662224, 212359584, 0, 31124324, -147316928, 20425307, 5963776, 0, -85750112, 28381318, -42960784, -3166504, 0, 37971627, -26571456, 1291474, -13726240, 0, 155761856, 55832952, 15098400, 206041679, 0, -456568945, -483003000, -236270292, 148646400, 0, 60973784, -32075164, -58522688, 896727512, 0, 1715098, 231334272, -31553560, 21610596, 0, 41877504, -277827152, -147600740, -849424376, 0, -701706316, -223100340, -3354736, -97653312, 0, 199076008, -179643168, 106216512, 29068389, 0, 463633286, -3073280, 104887332, 3430840, 0, -545244672, 682368845, -158440224, 239309140, 0, -94903067, -331888744, -29967106, 94597056, 0, -114123156, 52872300, 37502976, -125788414, 0, 462025848, -255512208, -96967178, -172602240, 0, 111256640, 307202310, -42472656, 51122192, 0, -49067329, -344281556, -128042565, 10278912, 0, -190332252, 216731312, 156764864, 40117223, 0, -732526563, 57259136, -284390324, -45961216, 0, -125011216, 263919623, 114026852, -45577890, 0, 11529602, 55394492, 230383700, 194228800, 0, -131172924, 108478764, -6516608, 39886202, 0, -269735578, 65909568, 486914456, 122221504, 0, -86792960, -168047724, -245385536, 3718232, 0, -121440318, -110235692, 15358598, 81441408, 0, 145098744, -448155449, -472255088, -185025078, 0, 298011857, -31424512, -14523678, 89208540, 0, 38942064, 270104266, -313084224, -176662368, 0, -778293418, -178607912, -10103212, 114566320, 0, -185669820, 544501020, 31602688, 435359344, 0, -494859036, 350840576, 170653965, 346668680, 0, 106150336, -75575885, 24220656, 216558803, 0, 145429972, -215195240, -870552113, 20823040, 0, -282919448, 562442272, 235149440, -848192368, 0, 105060459, -117757504, -310039860, 186079696, 0, -195290208, 654136189, -54744368, 197371768, 0, -460183434, 142799512, -271427189, -183333280, 0, -109489544, 156754856, -250318976, -1030954740, 0, -672816816, -50324960, 330024670, -243673608, 0, -21041152, 108152817, 423431488, -80181395, 0, 135635564, 9590944, 62371090, 37464384, 0, 161035168, -92998090, 276870944, -308854744, 0, 141476128, 152496128, 159368384, -184653408, 0, -190546912, 1044831414, -100190216, -435455312, 0, -327256017, -110335148, 148126696, -247537936, 0, -387438412, -206946894, -63558656, 89368252, 0, -169052237, -74170960, -151087974, -68095496, 0, -76405504, 290850936, -573234620, -108376420, 0, -166450550, -204970880, 137261548, 122886144, 0, -59977856, 112998034, -16480464, 343269977, 0, 315511318, 58698432, 276106948, 391666012, 0, -133486336, 1072581896, -77128184, -93308974, 0, -60907440, 90051808, 110576336, 379248192, 0, -402556224, 771669455, -195804800, -27344499, 0, 783598702, -6338256, 524815104, -26358728, 0, -16733696, -801342796, 562002560, -234250220, 0, 109121400, -204572720, 1119454, 348663424, 0, 65800572, 46570788, -52118656, -360648156, 0, -305877029, 124884992, -632297521, 210105384, 0, -31400384, 82215042, -171772248, 200190676, 0, -223096393, -550728288, -1576318352, 187545344, 0, 50953920, -40850103, -184987136, 164087368, 0, 242262370, 243541120, -78901416, -196184124, 0, -20184256, 29249779, -147136220, 45487715, 0, 607347712, -308046160, -347535832, -32038912, 0, -174404472, -108776576, -106905568, 738321899, 0, 154158394, 26677952, -504061332, -520538024, 0, 308098864, -125369436, 430295256, -40184067, 0, 52747844, -446494872, -88422888, -14616608, 0, 17623340, 245741720, 72924672, 636980588, 0, -132763566, 163989584, -185808, 385497352, 0, 194150400, -824445020, -773926408, 325168384, 0, 935340368, 225668700, -364286009, 2240128, 0, -1173924224, -57357636, -94387680, -794859266, 0, 697799887, -192784640, 113277376, 207613196, 0, -264760560, 1056370251, -243942204, -297214478, 0, -157899756, 31033176, -543826152, -77764736, 0, -187482588, -512484219, -4014080, -153908925, 0, 39332788, 440373536, 650842825, -386829700, 0, 312567040, 220114224, -263592832, 19598945, 0, -32955328, 163415784, -852873408, -149058816, 0, 145200544, -1168516440, -580172112, -152755344, 0, 599696287, -126651008, -953661858, 84127840, 0, 121948848, -489115682, -106934360, -428209204, 0, -567911022, 138598072, 305331201, 356452944, 0, -284618484, 404229210, 283077632, 572207342, 0, -91501865, 60475072, -229380096, -156894184, 0, -60030976, 219306262, 329282184, -599705700, 0, -53230536, -604511696, 450600117, 15059072, 0, -232997312, -174734136, -286724864, -245734998, 0, 408888438, -8511488, -636232826, -210180004, 0, -217069248, 268752151, -3343368, 524898080, 0, 795234754, -415506112, -177287942, -283888512, 0, -485746784, -25184610, -143981312, -46110416, 0, 303443442, 13963040, 408580148, -282782640, 0, -241665408, -28663227, 562516544, -29155245, 0, 122791795, -29260792, 204683932, 50863104, 0, -125008016, -243544448, 151813184, -785010198, 0, -703771902, -13196032, 142998758, -333643728, 0, 330589952, 385868980, -35723624, 120410372, 0, 585669337, 509156548, 85538632, -117589488, 0, -15440192, -39393795, -98711360, 316626554, 0, 1162577961, 305233344, 39085725, -90904800, 0, 27197440, -349452628, 554522820, 444708280, 0, -193824400, -503687280, 572586912, 137221824, 0, 15278024, -182955734, 95905152, -231427088, 0, 257048556, -71502848, 37446373, -117636772, 0, -477870768, -434651932, 475867656, -37486355, 0, -983067636, 10862124, -205358898, 153254112, 0, 150444792, -75257666, -65730560, -150627470, 0, 306426384, -454938112, 345488638, -118241980, 0, -104726720, -1074868172, 430227984, -44487132, 0, -736274570, 544233600, 188433420, 210331648, 0, 398038700, -693529024, 320866928, -1286375326, 0, 33485886, 208154624, 210849222, 419705208, 0, 533954400, 687268708, -33201564, 1108964823, 0, 315908896, 495398904, 1206320667, 263142544, 0, 161628104, 1400768796, -270297984, -332372530, 0, 16691752, 178573728, 504380826, -341860764, 0, -88941056, -317578824, -42317968, -206963801, 0, 826632398, 439266624, -406604209, -217404800, 0, 14827848, 140266652, -409878656, -867225557, 0, 113521120, -21525504, -125993628, -1370661440, 0, 265090336, -216519824, 645714776, -23186702, 0, 373850952, -716886552, 68016122, 690024096, 0, 241976504, -630064974, 117618688, 215962290, 0, -1463939826, -22508816, 294987252, 184780512, 0, -35715264, -71410780, 93713048, -222213768, 0, -122043131, -779249216, 129143065, -21856256, 0, -303367164, 331436637, 113024640, -391542977, 0, -62083989, 1462144, 1150558643, -323649116, 0, 124540400, -331638267, -179906508, 241900302, 0, -219090074, 161345076, 143983912, -271366304, 0, -169546940, -325106676, 107382912, 1189312332, 0, 322850760, 54840960, 984589408, 919565444, 0, 244957184, 401302132, 534952104, 486733276, 0, -368306280, 246486464, 1276316260, 316424320, 0, 623161688, 96725145, -136944960, -108376338, 0, -36298751, -192177920, 46172668, -379937188, 0, 132726496, -489680524, -162422356, 699790584, 0], "weight": 6, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [-4, 0], [-2, -1], [16, 0], [0, 0], [8, 4], [-49, 0], [-64, 0], [43, 5], [0, 0], [214, -13], [-32, -16], [-220, 11], [196, 0], [0, 0], [256, 0], [-692, 65], [-172, -20], [1016, -114], [0, 0], [98, 49], [-856, 52], [716, -98], [128, 64], [0, 0], [880, -44], [-1010, 185], [-784, 0], [-612, 93], [0, 0], [-2960, 448], [-1024, 0], [3238, -175], [2768, -260], [0, 0], [688, 80], [4658, -160], [-4064, 456], [-2662, 187], [0, 0], [-3970, 118], [-392, -196], [-1608, 1138], [3424, -208], [0, 0], [-2864, 392], [3530, 1447], [-512, -256], [2401, 0], [0, 0], [-16946, 497], [-3520, 176], [17622, -1002], [4040, -740], [0, 0], [3136, 0], [30116, -674], [2448, -372], [3244, 464], [0, 0], [-22262, -614], [11840, -1792], [-2107, -245], [4096, 0], [0, 0], [-12952, 700], [26988, 580], [-11072, 1040], [26204, -422], [0, 0], [-30160, -1952], [-2752, -320], [-19594, -1708], [-18632, 640], [0, 0], [16256, -1824], [-10486, 637], [10648, -748], [29838, 2393], [0, 0], [-60599, -760], [15880, -472], [-94812, 24], [1568, 784], [0, 0], [6432, -4552], [-25002, 333], [-13696, 832], [30710, 2770], [0, 0], [10780, -539], [11456, -1568], [-120416, 1616], [-14120, -5788], [0, 0], [2048, 1024], [-77308, -931], [-9604, 0], [-9128, 446], [0, 0]]}