# Stored data for newform 392.6.a.g, downloaded from the LMFDB on 01 May 2026.
{"Nk2": 14112, "analytic_conductor": 62.870457366688406, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 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": [392, 1, [295, 197, 297], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 531210304, "field_disc_factorization": [[2, 6], [43, 2], [67, 2]], "field_poly": [144, 0, -110, 0, 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": 1, "hecke_cutters": [[3, [2304, 0, -440, 0, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597864886664, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 128, "hecke_ring_index_factorization": [[2, 7]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], "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": true, "label": "392.6.a.g", "level": 392, "level_is_powerful": true, "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, 7], "level_radical": 14, "minimal_twist": "392.6.a.g", "nf_label": "4.4.531210304.2", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{3}+\\beta _{2}q^{5}+(-23+\\beta _{3})q^{9}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "392.6.a", "trace_display": [0, 0, 0, 0], "trace_hash": 212146101682462039, "trace_moments": [{"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "3.806", "prec": 17}, {"__RealLiteral__": 0, "data": "1.497", "prec": 17}, {"__RealLiteral__": 0, "data": "72.551", "prec": 20}, {"__RealLiteral__": 0, "data": "49.973", "prec": 20}, {"__RealLiteral__": 0, "data": "1938.311", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.507", "prec": 17}, "traces": [0, 4, 0, 0, 0, 0, 0, 0, 0, -92, 0, -352, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 1968, 0, 924, 0, 0, 0, 4040, 0, 0, 0, 0, 0, 0, 0, 10504, 0, -9328, 0, 0, 0, 28736, 0, 0, 0, 0, 0, 0, 0, 23584, 0, -28296, 0, 0, 0, 62864, 0, 0, 0, 0, 0, 0, 0, 146320, 0, -72576, 0, 0, 0, 176736, 0, 0, 0, 0, 0, 0, 0, 135968, 0, -27340, 0, 0, 0, 298016, 0, 0, 0, 0, 0, 0, 0, 395296, 0, -367472, 0, 0, 0, 561248, 0, 0, 0, 0, 0, 0, 0, 227616, 0, -76504, 0, 0, 0, 471160, 0, 0, 0, 0, 0, 0, 0, 1046228, 0, -593440, 0, 0, 0, 1010384, 0, 0, 0, 0, 0, 0, 0, 154592, 0, 64088, 0, 0, 0, 515552, 0, 0, 0, 0, 0, 0, 0, 1486424, 0, -974384, 0, 0, 0, 1230368, 0, 0, 0, 0, 0, 0, 0, -680224, 0, 543296, 0, 0, 0, 236284, 0, 0, 0, 0, 0, 0, 0, 1519760, 0, -1408832, 0, 0, 0, 1033520, 0, 0, 0, 0, 0, 0, 0, -1549056, 0, 1570264, 0, 0, 0, -1049096, 0, 0, 0, 0, 0, 0, 0, 2204128, 0, -1704720, 0, 0, 0, -711616, 0, 0, 0, 0, 0, 0, 0, -3548160, 0, 2995168, 0, 0, 0, -2787012, 0, 0, 0, 0, 0, 0, 0, 388376, 0, -792608, 0, 0, 0, 209392, 0, 0, 0, 0, 0, 0, 0, -4796560, 0, 2950864, 0, 0, 0, -5151552, 0, 0, 0, 0, 0, 0, 0, -92920, 0, -1190176, 0, 0, 0, -2886144, 0, 0, 0, 0, 0, 0, 0, -8378592, 0, 5055896, 0, 0, 0, -5900328, 0, 0, 0, 0, 0, 0, 0, 1442940, 0, -206368, 0, 0, 0, -2756720, 0, 0, 0, 0, 0, 0, 0, -5983824, 0, 5026096, 0, 0, 0, -5627808, 0, 0, 0, 0, 0, 0, 0, -1612392, 0, -355520, 0, 0, 0, -6575648, 0, 0, 0, 0, 0, 0, 0, -6184064, 0, 3077320, 0, 0, 0, -5777848, 0, 0, 0, 0, 0, 0, 0, -1604352, 0, -1184576, 0, 0, 0, 2296864, 0, 0, 0, 0, 0, 0, 0, -2005584, 0, 5099620, 0, 0, 0, -451584, 0, 0, 0, 0, 0, 0, 0, 1434200, 0, -3089888, 0, 0, 0, -4007872, 0, 0, 0, 0, 0, 0, 0, -5639296, 0, -4158328, 0, 0, 0, 2562256, 0, 0, 0, 0, 0, 0, 0, 556200, 0, 8790496, 0, 0, 0, 9032384, 0, 0, 0, 0, 0, 0, 0, 19578320, 0, -6508240, 0, 0, 0, 3482136, 0, 0, 0, 0, 0, 0, 0, 267712, 0, -7494384, 0, 0, 0, 113120, 0, 0, 0, 0, 0, 0, 0, 4646656, 0, -4551168, 0, 0, 0, 15038216, 0, 0, 0, 0, 0, 0, 0, 8719800, 0, 2208320, 0, 0, 0, 18238912, 0, 0, 0, 0, 0, 0, 0, 21024208, 0, -17463872, 0, 0, 0, 21670584, 0, 0, 0, 0, 0, 0, 0, -4505120, 0, 3147504, 0, 0, 0, -1621376, 0, 0, 0, 0, 0, 0, 0, 24588064, 0, -19962848, 0, 0, 0, 17381808, 0, 0, 0, 0, 0, 0, 0, -8055776, 0, 3789408, 0, 0, 0, 24325520, 0, 0, 0, 0, 0, 0, 0, 36555200, 0, -9842012, 0, 0, 0, 31366688, 0, 0, 0, 0, 0, 0, 0, 14054840, 0, -3684528, 0, 0, 0, -18892192, 0, 0, 0, 0, 0, 0, 0, 3613024, 0, -17576424, 0, 0, 0, 23369600, 0, 0, 0, 0, 0, 0, 0, -21573816, 0, 36252352, 0, 0, 0, 25346448, 0, 0, 0, 0, 0, 0, 0, 65549376, 0, -36001328, 0, 0, 0, -4803104, 0, 0, 0, 0, 0, 0, 0, -21717600, 0, -10630528, 0, 0, 0, -21009984, 0, 0, 0, 0, 0, 0, 0, -14905312, 0, -3249048, 0, 0, 0, 16705320, 0, 0, 0, 0, 0, 0, 0, -250156, 0, 20466112, 0, 0, 0, 14100608, 0, 0, 0, 0, 0, 0, 0, 19167456, 0, -11853400, 0, 0, 0, -4173760, 0, 0, 0, 0, 0, 0, 0, -52546040, 0, 33689552, 0, 0, 0, -61826400, 0, 0, 0, 0, 0, 0, 0, 1987680, 0, -22306240, 0, 0, 0, -22327176, 0, 0, 0, 0, 0, 0, 0, -43403952, 0, 24241184, 0, 0, 0, 18169104, 0, 0, 0, 0, 0, 0, 0, 15531568, 0, 34248256, 0, 0, 0, 1776520, 0, 0, 0, 0, 0, 0, 0, 10459976, 0, -7552480, 0, 0, 0, -110784064, 0, 0, 0, 0, 0, 0, 0, -73867424, 0, 933240, 0, 0, 0, -40582028, 0, 0, 0, 0, 0, 0, 0, -61651008, 0, 73004640, 0, 0, 0, 18682544, 0, 0, 0, 0, 0, 0, 0, 44743056, 0, 2175536, 0, 0, 0, -63018776, 0, 0, 0, 0, 0, 0, 0, -63275872, 0, -48561040, 0, 0, 0, -66378240, 0, 0, 0, 0, 0, 0, 0, -106223584, 0, 54144384, 0, 0, 0, -25229872, 0, 0, 0, 0, 0, 0, 0, 42884816, 0, 20227488, 0, 0, 0, -5064128, 0, 0, 0, 0, 0, 0, 0, -25319984, 0, 2786040, 0, 0, 0, -19305984, 0, 0, 0, 0, 0, 0, 0, -47598120, 0, 48095456, 0, 0, 0, -93824416, 0, 0, 0, 0, 0, 0, 0, -44164576, 0, -8162752, 0, 0, 0, -77964196, 0, 0, 0, 0, 0, 0, 0, -9762928, 0, -24702240, 0, 0, 0, 99721936, 0, 0, 0, 0, 0, 0, 0, -10318080, 0, 87242128, 0, 0, 0, -25240832, 0, 0, 0, 0, 0, 0, 0, 107502056, 0, -87792272, 0, 0, 0, -68297120, 0, 0, 0, 0, 0, 0, 0, -157455008, 0, 60859424, 0, 0, 0, -2929920, 0, 0, 0, 0, 0, 0, 0, 3433296, 0, 89815232, 0, 0, 0, 107503664, 0, 0, 0, 0, 0, 0, 0, 128031520, 0, -18314160, 0, 0, 0, -47357256, 0, 0, 0, 0, 0, 0, 0, 21212800, 0, -195489920, 0, 0, 0, -28838304, 0, 0, 0, 0, 0, 0, 0, -127988448, 0, 37610496, 0, 0, 0, 65031912, 0, 0, 0, 0, 0, 0, 0, 166895428, 0, -32339616, 0, 0, 0, 139034160, 0, 0, 0, 0, 0, 0, 0, 610992, 0, 34830648, 0, 0, 0, 33842408, 0, 0, 0, 0, 0, 0, 0, 58943424, 0, -11972512, 0, 0, 0, -26901600, 0, 0, 0, 0, 0, 0, 0, -24173600, 0, -24711360, 0, 0, 0, -6781928, 0, 0, 0, 0, 0, 0, 0, 83752312, 0, -159190848, 0, 0, 0, 256171904, 0, 0, 0, 0, 0, 0, 0, 40567648, 0, 103543640, 0, 0, 0, 135378592, 0, 0, 0, 0, 0, 0, 0, 306147776, 0, -137771760, 0, 0, 0, -15611168, 0, 0, 0, 0, 0, 0, 0, -114013760, 0, 31129704, 0, 0, 0, 28180992, 0, 0, 0, 0, 0, 0, 0, 10609040, 0, 81313536, 0, 0, 0, 179951152, 0, 0, 0, 0, 0, 0, 0, 195199568, 0, -121417996, 0, 0, 0, -49735416, 0, 0, 0, 0, 0, 0, 0, 49729344, 0, -178379792, 0, 0, 0, 60869056, 0, 0, 0, 0, 0, 0, 0, -103143872, 0, 95276760, 0, 0, 0, 191170160, 0, 0, 0, 0, 0, 0, 0, 276128088, 0, -9421280, 0, 0, 0, 182265936, 0, 0, 0, 0, 0, 0, 0, -11622640, 0, -48818928, 0, 0, 0, 29483872, 0, 0, 0, 0, 0, 0, 0, -15429120, 0, -63216688, 0, 0, 0, -6337632, 0, 0, 0, 0, 0, 0, 0, 34291040, 0, -64731648, 0, 0, 0, -101343552, 0, 0, 0, 0, 0, 0, 0, -618112, 0, -111497184, 0, 0, 0, 191815248, 0, 0, 0, 0, 0, 0, 0, 102980800, 0, 145715592, 0, 0, 0, 105627488, 0, 0, 0, 0, 0, 0, 0, 109157896, 0, -91618352, 0, 0, 0, -203099616, 0, 0, 0, 0, 0, 0, 0, -175024032, 0, 11994648, 0, 0, 0, 42778136, 0, 0, 0, 0, 0, 0, 0, -95090688, 0, 242304896, 0, 0, 0, 29023360, 0, 0, 0, 0, 0, 0, 0, 225667888, 0, -134884496, 0, 0, 0, -47079904, 0, 0, 0, 0, 0, 0, 0, -39413312, 0, -65963456, 0, 0, 0, -121777056, 0, 0, 0, 0, 0, 0, 0, -167740032, 0, -13275648, 0, 0, 0, -44199528, 0, 0, 0, 0, 0, 0, 0, 11203688, 0, 28876256, 0, 0, 0, 87982160, 0, 0, 0, 0, 0, 0, 0, -47065344, 0, 263005776, 0, 0, 0, -99428352, 0, 0, 0, 0, 0, 0, 0, -321833016, 0, 257941184, 0, 0, 0, -327442368, 0, 0, 0, 0, 0, 0, 0, 109217184, 0, -93928168, 0, 0, 0, -201378352, 0, 0, 0, 0, 0, 0, 0, -238735232, 0, -106409472, 0, 0, 0, -66646640, 0, 0, 0, 0, 0, 0, 0, -15212224, 0, -190051908, 0, 0, 0, 138204168, 0, 0, 0, 0, 0, 0, 0, -70797400, 0, 232083664, 0, 0, 0, -253467648, 0, 0, 0, 0, 0, 0, 0, -190925152, 0, -54065216, 0, 0, 0, -88580784, 0, 0, 0, 0, 0, 0, 0, -311785336, 0, 501543776, 0, 0, 0, -344853872, 0, 0, 0, 0, 0, 0, 0, 70013936, 0, -115469136, 0, 0, 0, -435896600, 0, 0, 0, 0, 0, 0, 0, -286111072, 0, -240474192, 0, 0, 0, -27814240, 0, 0, 0, 0, 0, 0, 0, -6233824, 0, 217035464, 0, 0, 0, 156062272, 0, 0, 0, 0, 0, 0, 0, -49941136, 0, 304943648, 0, 0, 0, -149866240, 0, 0, 0, 0, 0, 0, 0, 23819840, 0, 52517544, 0, 0, 0, -145254272, 0, 0, 0, 0, 0, 0, 0, -460047784, 0, 365713152, 0, 0, 0, -464251392, 0, 0, 0, 0, 0, 0, 0, 127116736, 0, -432793664, 0, 0, 0, -169393152, 0, 0, 0, 0, 0, 0, 0, -362217572, 0, 27110592, 0, 0, 0, -94136624, 0, 0, 0, 0, 0, 0, 0, 242262864, 0, -28578960, 0, 0, 0, 168405696, 0, 0, 0, 0, 0, 0, 0, -109014312, 0, 247801984, 0, 0, 0, -112624000, 0, 0, 0, 0, 0, 0, 0, 3637792, 0, 167143008, 0, 0, 0, -132277232, 0, 0, 0, 0, 0, 0, 0, -326878160, 0, 100851808, 0, 0, 0, -87723552, 0, 0, 0, 0, 0, 0, 0, -14149888, 0, -121226720, 0, 0, 0, 187580152, 0, 0, 0, 0, 0, 0, 0, -20731200, 0, -76700736, 0, 0, 0, 162393856, 0, 0, 0, 0, 0, 0, 0, 280184128, 0, -259552280, 0, 0, 0, 66089440, 0, 0, 0, 0, 0, 0, 0, -122137344, 0, 29940704, 0, 0, 0, -310026560, 0, 0, 0, 0, 0, 0, 0, 368992, 0, -104065472, 0, 0, 0, 63492640, 0, 0, 0, 0, 0, 0, 0, -181426624, 0, 407950704, 0, 0, 0, -96415488, 0, 0, 0, 0, 0, 0, 0, 323423424, 0, -62033984, 0, 0, 0, 324311196, 0, 0, 0, 0, 0, 0, 0, 189188976, 0, -89028096, 0, 0, 0, 107781472, 0, 0, 0, 0, 0, 0, 0, 339838000, 0, -596152448, 0, 0, 0, 275327352, 0, 0, 0, 0, 0, 0, 0, 238788000, 0, -89384064, 0, 0, 0, 656065504, 0, 0, 0, 0, 0, 0, 0, 259665216, 0, 199673544, 0, 0, 0, 37453144, 0, 0, 0, 0, 0, 0, 0, -104228592, 0, 56107776, 0, 0, 0, -51700416, 0, 0, 0, 0, 0, 0, 0, 96550672, 0, -10852752, 0, 0, 0, -159604288, 0, 0, 0, 0, 0, 0, 0, 87188536, 0, -307659744, 0, 0, 0, 224783936, 0, 0, 0, 0, 0, 0, 0, 385797856, 0, -354869480, 0, 0, 0, 927755200, 0, 0, 0, 0, 0, 0, 0, 421868440, 0, 237976192, 0, 0, 0, 248946128, 0, 0, 0, 0, 0, 0, 0, -68060368, 0, 106723200, 0, 0, 0, 381772160, 0, 0, 0, 0, 0, 0, 0, 423063520, 0, 50998496, 0, 0, 0, 340392768, 0, 0, 0, 0, 0, 0, 0, 110665760, 0, -649205408, 0, 0, 0, -247178412, 0, 0, 0, 0, 0, 0, 0, 319290832, 0, -1091142112, 0, 0, 0, 466131504, 0, 0, 0, 0, 0, 0, 0, -11620560, 0, 361458632, 0, 0, 0, 371621240, 0, 0, 0, 0, 0, 0, 0, 147783200, 0, 214601536, 0, 0, 0, 894978208, 0, 0, 0, 0, 0, 0, 0, 622068608, 0, 821236440, 0, 0, 0, 39906944, 0, 0, 0, 0, 0, 0, 0, -20050136, 0, -519013024, 0, 0, 0, -935477424, 0, 0, 0, 0, 0, 0, 0, -493567552, 0, -801746448, 0, 0, 0, 564516088, 0, 0, 0, 0, 0, 0, 0, 565839264, 0, -73301760, 0, 0, 0, 715349440, 0, 0, 0, 0, 0, 0, 0, 654417408, 0, -528189024, 0, 0, 0, 304050672, 0, 0, 0, 0, 0, 0, 0, 513949376, 0, 200374272, 0, 0, 0, 97786848, 0, 0, 0, 0, 0, 0, 0, -520109776, 0, 1071700560, 0, 0, 0, -791305376, 0, 0, 0, 0, 0, 0, 0, 301228584, 0, -474432384, 0, 0, 0, 774254528, 0, 0, 0, 0, 0, 0, 0, -530927072, 0, 734906176, 0, 0, 0, -39790728, 0, 0, 0, 0, 0, 0, 0, 792989100, 0, -853944192, 0, 0, 0, -49451184, 0, 0, 0, 0, 0, 0, 0, -137103664, 0, -529819088, 0, 0, 0, 283385952, 0, 0, 0, 0, 0, 0, 0, -253795176, 0, 46046624, 0, 0, 0, 178503360, 0, 0, 0, 0, 0, 0, 0, 44966496, 0, 2874760, 0, 0, 0, -592163120, 0, 0, 0, 0, 0, 0, 0, 66957048, 0, 111431488, 0, 0, 0, -691187520, 0, 0, 0, 0, 0, 0, 0, -1154957200, 0, 736716248, 0, 0, 0, -238720128, 0, 0, 0, 0, 0, 0, 0, 321069728, 0, 115319616, 0, 0, 0, 304762720, 0, 0, 0, 0, 0, 0, 0, 82524416, 0, -16135744, 0, 0, 0, -123656136, 0, 0, 0, 0, 0, 0, 0, 34296344, 0, -678388224, 0, 0, 0, 431967456, 0, 0, 0, 0, 0, 0, 0, -1244429648, 0, 1034775352, 0, 0, 0, -360482656, 0, 0, 0, 0, 0, 0, 0, 426591712, 0, 281498432, 0, 0, 0, -246256160, 0, 0, 0, 0, 0, 0, 0, -472423456, 0, 338908000, 0, 0, 0, -1002226944, 0, 0, 0, 0, 0, 0, 0, -59577472, 0, -902203392, 0, 0, 0, -1108444944, 0, 0, 0, 0, 0, 0, 0, -787377424, 0, -560415228, 0, 0, 0, -615842200, 0, 0, 0, 0, 0, 0, 0, -437314344, 0, 1010299184, 0, 0, 0, 802664288, 0, 0, 0, 0, 0, 0, 0, -18120544, 0, 1496973704, 0, 0, 0, 63789728, 0, 0, 0, 0, 0, 0, 0, 667757168, 0, -141848032, 0, 0, 0, -1989494656, 0, 0, 0, 0, 0, 0, 0, -1593833472, 0, -116340224, 0, 0, 0, -918560856, 0, 0, 0, 0, 0, 0, 0, 536668608, 0, -770812416, 0, 0, 0, 1102468256, 0, 0, 0, 0, 0, 0, 0, 137327680, 0, 247920376, 0, 0, 0, -655628152, 0, 0, 0, 0, 0, 0, 0, -1250462512, 0, 376332192, 0, 0, 0, -596404672, 0, 0, 0, 0, 0, 0, 0, -403587664, 0, 1879726528, 0, 0, 0, -1363476384, 0, 0, 0, 0, 0, 0, 0, -1069213560, 0, -521541552, 0, 0, 0, -518102080, 0, 0, 0, 0, 0, 0, 0, -807939200, 0, -27613400, 0, 0, 0, 81980592, 0, 0, 0, 0, 0, 0, 0, 570733392, 0, 185496736, 0, 0, 0, -938429344, 0, 0, 0, 0, 0, 0, 0, -305587232, 0, -596247512, 0, 0, 0, 950221272, 0, 0, 0, 0, 0, 0, 0, 318054584, 0, 1247656272, 0, 0, 0, 729335968, 0, 0, 0, 0, 0, 0, 0, 112782336, 0, -203211104, 0, 0, 0, -1918070784, 0, 0, 0, 0, 0, 0, 0, -319550520, 0, -1526395360, 0, 0, 0, -781746896, 0, 0, 0, 0, 0, 0, 0, -2430824320, 0, 1243190224, 0, 0, 0, -260229224, 0, 0, 0, 0, 0, 0, 0, 270252224, 0, 457806992, 0, 0, 0, 217631680, 0, 0, 0, 0, 0, 0, 0, 1305725376, 0, 355927104, 0, 0, 0, 300996160, 0, 0, 0, 0, 0, 0, 0, -1363217368, 0, 563872608, 0, 0, 0, -598810752, 0, 0, 0, 0, 0, 0, 0, -235059152, 0, -751138256, 0, 0, 0, 290834264, 0, 0, 0, 0, 0, 0, 0, 135106400, 0, 749928304, 0, 0, 0, -326385312, 0, 0, 0, 0, 0, 0, 0, 588155840, 0, -951843488, 0, 0, 0, 314639480, 0, 0, 0, 0, 0, 0, 0, 531764376, 0, -464952096, 0, 0, 0, -350167088, 0, 0, 0, 0, 0, 0, 0, 585163168, 0, -801506608, 0, 0, 0, -1305320552, 0, 0, 0, 0, 0, 0, 0, -703357064, 0, 142385040, 0, 0, 0, 2202769600, 0, 0, 0, 0, 0, 0, 0, 490466656, 0, 3015370592, 0, 0, 0, 1049689968, 0, 0, 0, 0, 0, 0, 0, 929347712, 0, -35306400, 0, 0, 0, -954572944, 0, 0, 0, 0, 0, 0, 0, -619490208, 0, -1070900772, 0, 0, 0, 479003168, 0, 0, 0, 0, 0, 0, 0, 191926464, 0, -427119856, 0, 0, 0, -42092096, 0, 0, 0, 0, 0, 0, 0, 882291648, 0, -3737267392, 0, 0, 0, 889227512, 0, 0, 0, 0, 0, 0, 0, -923001904, 0, 1183538688, 0, 0, 0, -288438432, 0, 0, 0, 0, 0, 0, 0, 995465680, 0, 1092179208, 0, 0, 0, 169266016, 0, 0, 0, 0, 0, 0, 0, -50476192, 0, 578449056, 0, 0, 0, 459146016, 0, 0, 0, 0, 0, 0, 0, 909549440, 0, 90543424, 0, 0, 0, 843490376, 0, 0, 0, 0, 0, 0, 0, 399248960, 0, -1506140064, 0, 0, 0, 800076480, 0, 0, 0, 0, 0, 0, 0, 1718838160, 0, -1639813992, 0, 0, 0, 3122032192, 0, 0, 0, 0, 0, 0, 0, -498914664, 0, 555643488, 0, 0, 0, 1746818976, 0, 0, 0, 0, 0, 0, 0, 2286482624, 0, -342911064, 0, 0, 0, -917117456, 0, 0, 0, 0, 0, 0, 0, -1007148024, 0, -371146720, 0, 0, 0, -1664633856, 0, 0, 0, 0, 0, 0, 0, -891377600, 0, -435380736, 0, 0, 0, 1079167520, 0, 0, 0, 0, 0, 0, 0, 371885760, 0, 1390936944, 0, 0, 0, 667311392, 0, 0, 0, 0, 0, 0, 0, 1932334016, 0, -1010872136, 0, 0, 0, 2154740376, 0, 0, 0, 0, 0, 0, 0, 923638396, 0, 762219136, 0, 0, 0, 714251376, 0, 0, 0, 0, 0, 0, 0, 729603632, 0, -1309996920, 0, 0, 0, 580901376, 0, 0, 0, 0, 0, 0, 0, 806361320, 0, -1450729024, 0, 0, 0, 1627194112, 0, 0, 0, 0, 0, 0, 0, 298237472, 0, -118903848, 0, 0, 0, 115413656, 0, 0, 0, 0, 0, 0, 0, -168385920, 0, 292240736, 0, 0, 0, 566860480, 0, 0, 0, 0, 0, 0, 0, 2939793568, 0, 90953280, 0, 0, 0, -346876608, 0, 0, 0, 0, 0, 0, 0, -2792674688, 0, 117536608, 0, 0, 0, -866907712, 0, 0, 0, 0, 0, 0, 0, 2367166816, 0, -1426624280, 0, 0, 0, 1784942608, 0, 0, 0, 0, 0, 0, 0, 392563200, 0, 277398080, 0, 0, 0, -423551456, 0, 0, 0, 0, 0, 0, 0, 27101040, 0, -1710815232, 0, 0, 0, 2503139296, 0, 0, 0, 0, 0, 0, 0, 1411944160, 0, 2525772720, 0, 0, 0, 33684640, 0, 0, 0, 0, 0, 0, 0, 723654912, 0, -2545150400, 0, 0, 0, -438438056, 0, 0, 0, 0, 0, 0, 0, -755037456, 0, -132683072, 0, 0, 0, 2283252016, 0, 0, 0, 0, 0, 0, 0, -427244624, 0, 2392750080, 0, 0, 0, -1030960408, 0, 0, 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, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-23, 0, 0, 1], [0, 0, 0, 0], [-88, 0, 0, 3], [0, 0, 0, 0], [0, -12, 11, 0], [0, 0, 0, 0], [28, 0, 0, 1], [0, 0, 0, 0], [0, 24, 22, 0], [0, 0, 0, 0], [0, 75, -28, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [492, 0, 0, -9], [0, 0, 0, 0], [231, 0, 0, -15], [0, 0, 0, 0], [0, -58, 12, 0], [0, 0, 0, 0], [1010, 0, 0, 0], [0, 0, 0, 0], [0, 438, 88, 0], [0, 0, 0, 0], [0, 536, 36, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2626, 0, 0, 18], [0, 0, 0, 0], [-2332, 0, 0, -1], [0, 0, 0, 0], [0, -696, 170, 0], [0, 0, 0, 0], [7184, 0, 0, -27], [0, 0, 0, 0], [0, 236, -231, 0], [0, 0, 0, 0], [0, 594, -64, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5896, 0, 0, 46], [0, 0, 0, 0], [-7074, 0, 0, 114], [0, 0, 0, 0], [0, 708, -712, 0], [0, 0, 0, 0], [15716, 0, 0, 47], [0, 0, 0, 0], [0, 1755, -220, 0], [0, 0, 0, 0], [0, 1128, 365, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [36580, 0, 0, -177], [0, 0, 0, 0], [-18144, 0, 0, -123], [0, 0, 0, 0], [0, -1380, -108, 0], [0, 0, 0, 0], [44184, 0, 0, 126], [0, 0, 0, 0], [0, -4032, 0, 0], [0, 0, 0, 0], [0, -2889, -180, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [33992, 0, 0, -24], [0, 0, 0, 0], [-6835, 0, 0, -289], [0, 0, 0, 0], [0, 3171, 1432, 0], [0, 0, 0, 0], [74504, 0, 0, -306], [0, 0, 0, 0], [0, 1010, 0, 0], [0, 0, 0, 0], [0, -3240, -312, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [98824, 0, 0, 526], [0, 0, 0, 0], [-91868, 0, 0, 495], [0, 0, 0, 0], [0, -192, -334, 0], [0, 0, 0, 0], [140312, 0, 0, -157], [0, 0, 0, 0]]}