# Stored data for newform 2304.4.a.bs, downloaded from the LMFDB on 09 December 2024.
{"Nk2": 36864, "analytic_conductor": 135.94040065322636, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1]], "atkin_lehner_string": "-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [2304, 1, [1279, 2053, 1793], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 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": [[5, [-6, 1]], [7, [-448, 0, 1]], [11, [-1792, 0, 1]], [13, [-20, 1]], [17, [8, 1]], [19, [-7168, 0, 1]]], "hecke_orbit": 45, "hecke_orbit_code": 198158383671412992, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 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": false, "label": "2304.4.a.bs", "level": 2304, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "1152.4.d.k", "nf_label": "2.2.28.1", "prim_orbit_index": 1, "qexp_display": "q+6q^{5}-\\beta q^{7}+2\\beta q^{11}+20q^{13}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2304.4.a", "trace_display": [0, 0, 12, 0], "trace_hash": 1787931780696774614, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.954", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.473", "prec": 20}, {"__RealLiteral__": 0, "data": "1.798", "prec": 17}, {"__RealLiteral__": 0, "data": "154.112", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.505", "prec": 17}, "traces": [0, 2, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -178, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, -328, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, 210, 0, 0, 0, 532, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 492, 0, 0, 0, -1792, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -2784, 0, 0, 0, 0, 0, 0, 0, -604, 0, 0, 0, 2932, 0, 0, 0, 0, 0, 0, 0, -3128, 0, 0, 0, 3104, 0, 0, 0, 0, 0, 0, 0, 922, 0, 0, 0, -2568, 0, 0, 0, 0, 0, 0, 0, -3584, 0, 0, 0, -3984, 0, 0, 0, 0, 0, 0, 0, -552, 0, 0, 0, 3948, 0, 0, 0, 0, 0, 0, 0, -3592, 0, 0, 0, 7168, 0, 0, 0, 0, 0, 0, 0, -3594, 0, 0, 0, -8580, 0, 0, 0, 0, 0, 0, 0, -6392, 0, 0, 0, -1968, 0, 0, 0, 0, 0, 0, 0, 924, 0, 0, 0, 7668, 0, 0, 0, 0, 0, 0, 0, -3744, 0, 0, 0, 7168, 0, 0, 0, 0, 0, 0, 0, 896, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -10520, 0, 0, 0, -3872, 0, 0, 0, 0, 0, 0, 0, 6404, 0, 0, 0, 1260, 0, 0, 0, 0, 0, 0, 0, -14336, 0, 0, 0, 6208, 0, 0, 0, 0, 0, 0, 0, 3192, 0, 0, 0, -8700, 0, 0, 0, 0, 0, 0, 0, -15064, 0, 0, 0, -3648, 0, 0, 0, 0, 0, 0, 0, -9698, 0, 0, 0, 1716, 0, 0, 0, 0, 0, 0, 0, -17920, 0, 0, 0, -1584, 0, 0, 0, 0, 0, 0, 0, 236, 0, 0, 0, 9188, 0, 0, 0, 0, 0, 0, 0, -3560, 0, 0, 0, 7168, 0, 0, 0, 0, 0, 0, 0, 2332, 0, 0, 0, -1792, 0, 0, 0, 0, 0, 0, 0, -12776, 0, 0, 0, -16864, 0, 0, 0, 0, 0, 0, 0, 618, 0, 0, 0, 2952, 0, 0, 0, 0, 0, 0, 0, -16552, 0, 0, 0, -1840, 0, 0, 0, 0, 0, 0, 0, -10752, 0, 0, 0, -12340, 0, 0, 0, 0, 0, 0, 0, -17288, 0, 0, 0, -16304, 0, 0, 0, 0, 0, 0, 0, 1748, 0, 0, 0, 10752, 0, 0, 0, 0, 0, 0, 0, -23128, 0, 0, 0, 1424, 0, 0, 0, 0, 0, 0, 0, 15100, 0, 0, 0, -28672, 0, 0, 0, 0, 0, 0, 0, -16704, 0, 0, 0, -13136, 0, 0, 0, 0, 0, 0, 0, -18956, 0, 0, 0, 25212, 0, 0, 0, 0, 0, 0, 0, -21504, 0, 0, 0, 35840, 0, 0, 0, 0, 0, 0, 0, -6560, 0, 0, 0, -3624, 0, 0, 0, 0, 0, 0, 0, 736, 0, 0, 0, -28672, 0, 0, 0, 0, 0, 0, 0, 17592, 0, 0, 0, 26916, 0, 0, 0, 0, 0, 0, 0, -14336, 0, 0, 0, 10704, 0, 0, 0, 0, 0, 0, 0, 33010, 0, 0, 0, -12480, 0, 0, 0, 0, 0, 0, 0, -4792, 0, 0, 0, -18768, 0, 0, 0, 0, 0, 0, 0, -9856, 0, 0, 0, 508, 0, 0, 0, 0, 0, 0, 0, 18624, 0, 0, 0, 18640, 0, 0, 0, 0, 0, 0, 0, -27516, 0, 0, 0, -41216, 0, 0, 0, 0, 0, 0, 0, -3584, 0, 0, 0, 8160, 0, 0, 0, 0, 0, 0, 0, 20596, 0, 0, 0, 5532, 0, 0, 0, 0, 0, 0, 0, -11304, 0, 0, 0, 53696, 0, 0, 0, 0, 0, 0, 0, 6842, 0, 0, 0, 2624, 0, 0, 0, 0, 0, 0, 0, 4200, 0, 0, 0, -12048, 0, 0, 0, 0, 0, 0, 0, -21504, 0, 0, 0, 58108, 0, 0, 0, 0, 0, 0, 0, 19256, 0, 0, 0, -21504, 0, 0, 0, 0, 0, 0, 0, -57380, 0, 0, 0, -9844, 0, 0, 0, 0, 0, 0, 0, -23904, 0, 0, 0, 10640, 0, 0, 0, 0, 0, 0, 0, 4992, 0, 0, 0, -38620, 0, 0, 0, 0, 0, 0, 0, 37640, 0, 0, 0, 7168, 0, 0, 0, 0, 0, 0, 0, 52864, 0, 0, 0, 8188, 0, 0, 0, 0, 0, 0, 0, 32936, 0, 0, 0, 43008, 0, 0, 0, 0, 0, 0, 0, 23688, 0, 0, 0, -17920, 0, 0, 0, 0, 0, 0, 0, 3144, 0, 0, 0, 35632, 0, 0, 0, 0, 0, 0, 0, -43492, 0, 0, 0, 27956, 0, 0, 0, 0, 0, 0, 0, 57344, 0, 0, 0, -21552, 0, 0, 0, 0, 0, 0, 0, -5280, 0, 0, 0, -19300, 0, 0, 0, 0, 0, 0, 0, 43008, 0, 0, 0, -76048, 0, 0, 0, 0, 0, 0, 0, 71680, 0, 0, 0, 13716, 0, 0, 0, 0, 0, 0, 0, 50248, 0, 0, 0, -1680, 0, 0, 0, 0, 0, 0, 0, -44546, 0, 0, 0, -21564, 0, 0, 0, 0, 0, 0, 0, 65624, 0, 0, 0, -43888, 0, 0, 0, 0, 0, 0, 0, -51480, 0, 0, 0, 19712, 0, 0, 0, 0, 0, 0, 0, 66424, 0, 0, 0, 68672, 0, 0, 0, 0, 0, 0, 0, 42112, 0, 0, 0, -28672, 0, 0, 0, 0, 0, 0, 0, -4256, 0, 0, 0, -38352, 0, 0, 0, 0, 0, 0, 0, 82432, 0, 0, 0, 107520, 0, 0, 0, 0, 0, 0, 0, 29192, 0, 0, 0, 35152, 0, 0, 0, 0, 0, 0, 0, -43052, 0, 0, 0, -10436, 0, 0, 0, 0, 0, 0, 0, 9840, 0, 0, 0, -97776, 0, 0, 0, 0, 0, 0, 0, -58686, 0, 0, 0, 5544, 0, 0, 0, 0, 0, 0, 0, 50176, 0, 0, 0, -4080, 0, 0, 0, 0, 0, 0, 0, 46008, 0, 0, 0, -143360, 0, 0, 0, 0, 0, 0, 0, 124088, 0, 0, 0, -35840, 0, 0, 0, 0, 0, 0, 0, 79236, 0, 0, 0, -48084, 0, 0, 0, 0, 0, 0, 0, 35544, 0, 0, 0, 55536, 0, 0, 0, 0, 0, 0, 0, -54676, 0, 0, 0, 2112, 0, 0, 0, 0, 0, 0, 0, 43008, 0, 0, 0, -12160, 0, 0, 0, 0, 0, 0, 0, -131712, 0, 0, 0, 133132, 0, 0, 0, 0, 0, 0, 0, 97112, 0, 0, 0, 15088, 0, 0, 0, 0, 0, 0, 0, 57344, 0, 0, 0, 5376, 0, 0, 0, 0, 0, 0, 0, 79848, 0, 0, 0, -74304, 0, 0, 0, 0, 0, 0, 0, -1920, 0, 0, 0, 97004, 0, 0, 0, 0, 0, 0, 0, 35976, 0, 0, 0, -43008, 0, 0, 0, 0, 0, 0, 0, -36044, 0, 0, 0, -105728, 0, 0, 0, 0, 0, 0, 0, 111104, 0, 0, 0, -63120, 0, 0, 0, 0, 0, 0, 0, -57476, 0, 0, 0, -55680, 0, 0, 0, 0, 0, 0, 0, -23232, 0, 0, 0, 150528, 0, 0, 0, 0, 0, 0, 0, 35840, 0, 0, 0, 34908, 0, 0, 0, 0, 0, 0, 0, 28704, 0, 0, 0, 78720, 0, 0, 0, 0, 0, 0, 0, 155812, 0, 0, 0, 38424, 0, 0, 0, 0, 0, 0, 0, 104392, 0, 0, 0, 53184, 0, 0, 0, 0, 0, 0, 0, -18690, 0, 0, 0, 47292, 0, 0, 0, 0, 0, 0, 0, -13592, 0, 0, 0, -3936, 0, 0, 0, 0, 0, 0, 0, -135876, 0, 0, 0, -68096, 0, 0, 0, 0, 0, 0, 0, -12080, 0, 0, 0, -86016, 0, 0, 0, 0, 0, 0, 0, 86016, 0, 0, 0, -40476, 0, 0, 0, 0, 0, 0, 0, 37248, 0, 0, 0, 30944, 0, 0, 0, 0, 0, 0, 0, 134716, 0, 0, 0, -66324, 0, 0, 0, 0, 0, 0, 0, 14336, 0, 0, 0, 58640, 0, 0, 0, 0, 0, 0, 0, -42804, 0, 0, 0, -47348, 0, 0, 0, 0, 0, 0, 0, -17920, 0, 0, 0, 136192, 0, 0, 0, 0, 0, 0, 0, -52200, 0, 0, 0, 114688, 0, 0, 0, 0, 0, 0, 0, 86016, 0, 0, 0, -34896, 0, 0, 0, 0, 0, 0, 0, -47514, 0, 0, 0, 175580, 0, 0, 0, 0, 0, 0, 0, -54424, 0, 0, 0, -90384, 0, 0, 0, 0, 0, 0, 0, 160384, 0, 0, 0, -84224, 0, 0, 0, 0, 0, 0, 0, -21888, 0, 0, 0, -70000, 0, 0, 0, 0, 0, 0, 0, -62560, 0, 0, 0, -9660, 0, 0, 0, 0, 0, 0, 0, 83992, 0, 0, 0, 196320, 0, 0, 0, 0, 0, 0, 0, -215040, 0, 0, 0, -58188, 0, 0, 0, 0, 0, 0, 0, 59912, 0, 0, 0, 7168, 0, 0, 0, 0, 0, 0, 0, 10296, 0, 0, 0, 62080, 0, 0, 0, 0, 0, 0, 0, -121856, 0, 0, 0, 148032, 0, 0, 0, 0, 0, 0, 0, 126916, 0, 0, 0, -91028, 0, 0, 0, 0, 0, 0, 0, 39424, 0, 0, 0, -107520, 0, 0, 0, 0, 0, 0, 0, 22272, 0, 0, 0, 102336, 0, 0, 0, 0, 0, 0, 0, 23496, 0, 0, 0, -100352, 0, 0, 0, 0, 0, 0, 0, -24472, 0, 0, 0, -172032, 0, 0, 0, 0, 0, 0, 0, -205160, 0, 0, 0, -202880, 0, 0, 0, 0, 0, 0, 0, 38528, 0, 0, 0, 1416, 0, 0, 0, 0, 0, 0, 0, 18440, 0, 0, 0, 164864, 0, 0, 0, 0, 0, 0, 0, 55128, 0, 0, 0, -137984, 0, 0, 0, 0, 0, 0, 0, -130008, 0, 0, 0, 11936, 0, 0, 0, 0, 0, 0, 0, -122004, 0, 0, 0, 141828, 0, 0, 0, 0, 0, 0, 0, -175608, 0, 0, 0, -51360, 0, 0, 0, 0, 0, 0, 0, -229376, 0, 0, 0, 84468, 0, 0, 0, 0, 0, 0, 0, 43008, 0, 0, 0, 4832, 0, 0, 0, 0, 0, 0, 0, 145900, 0, 0, 0, 263424, 0, 0, 0, 0, 0, 0, 0, -87096, 0, 0, 0, 64512, 0, 0, 0, 0, 0, 0, 0, 56846, 0, 0, 0, 13992, 0, 0, 0, 0, 0, 0, 0, -242152, 0, 0, 0, -238320, 0, 0, 0, 0, 0, 0, 0, -10752, 0, 0, 0, -143556, 0, 0, 0, 0, 0, 0, 0, -23456, 0, 0, 0, 151968, 0, 0, 0, 0, 0, 0, 0, -71680, 0, 0, 0, -184372, 0, 0, 0, 0, 0, 0, 0, -173480, 0, 0, 0, -76656, 0, 0, 0, 0, 0, 0, 0, 62348, 0, 0, 0, 112896, 0, 0, 0, 0, 0, 0, 0, -101184, 0, 0, 0, 12144, 0, 0, 0, 0, 0, 0, 0, 113884, 0, 0, 0, -79680, 0, 0, 0, 0, 0, 0, 0, 102200, 0, 0, 0, -222208, 0, 0, 0, 0, 0, 0, 0, -118636, 0, 0, 0, 3708, 0, 0, 0, 0, 0, 0, 0, -34440, 0, 0, 0, -78848, 0, 0, 0, 0, 0, 0, 0, -43788, 0, 0, 0, 10752, 0, 0, 0, 0, 0, 0, 0, -301056, 0, 0, 0, -200704, 0, 0, 0, 0, 0, 0, 0, 199386, 0, 0, 0, 25024, 0, 0, 0, 0, 0, 0, 0, -3432, 0, 0, 0, -99312, 0, 0, 0, 0, 0, 0, 0, 144196, 0, 0, 0, -186708, 0, 0, 0, 0, 0, 0, 0, -11040, 0, 0, 0, 315744, 0, 0, 0, 0, 0, 0, 0, 45696, 0, 0, 0, 24892, 0, 0, 0, 0, 0, 0, 0, -329728, 0, 0, 0, 222496, 0, 0, 0, 0, 0, 0, 0, -24832, 0, 0, 0, 159488, 0, 0, 0, 0, 0, 0, 0, 138936, 0, 0, 0, 78960, 0, 0, 0, 0, 0, 0, 0, -74040, 0, 0, 0, -43492, 0, 0, 0, 0, 0, 0, 0, -211456, 0, 0, 0, -87248, 0, 0, 0, 0, 0, 0, 0, 136192, 0, 0, 0, 78804, 0, 0, 0, 0, 0, 0, 0, -372736, 0, 0, 0, -103728, 0, 0, 0, 0, 0, 0, 0, -278644, 0, 0, 0, -14148, 0, 0, 0, 0, 0, 0, 0, -97824, 0, 0, 0, -65520, 0, 0, 0, 0, 0, 0, 0, -217820, 0, 0, 0, -143360, 0, 0, 0, 0, 0, 0, 0, -209624, 0, 0, 0, 71680, 0, 0, 0, 0, 0, 0, 0, -71840, 0, 0, 0, 10488, 0, 0, 0, 0, 0, 0, 0, -175112, 0, 0, 0, -7376, 0, 0, 0, 0, 0, 0, 0, 64512, 0, 0, 0, 271636, 0, 0, 0, 0, 0, 0, 0, -21504, 0, 0, 0, 82608, 0, 0, 0, 0, 0, 0, 0, 232748, 0, 0, 0, 143360, 0, 0, 0, 0, 0, 0, 0, -272384, 0, 0, 0, -138768, 0, 0, 0, 0, 0, 0, 0, 9980, 0, 0, 0, -22632, 0, 0, 0, 0, 0, 0, 0, 20544, 0, 0, 0, 107680, 0, 0, 0, 0, 0, 0, 0, -90068, 0, 0, 0, -289116, 0, 0, 0, 0, 0, 0, 0, 64512, 0, 0, 0, 119056, 0, 0, 0, 0, 0, 0, 0, 57220, 0, 0, 0, 90600, 0, 0, 0, 0, 0, 0, 0, -165984, 0, 0, 0, 186368, 0, 0, 0, 0, 0, 0, 0, -172032, 0, 0, 0, -320768, 0, 0, 0, 0, 0, 0, 0, -159760, 0, 0, 0, -28672, 0, 0, 0, 0, 0, 0, 0, -150302, 0, 0, 0, 132684, 0, 0, 0, 0, 0, 0, 0, -30744, 0, 0, 0, 247776, 0, 0, 0, 0, 0, 0, 0, 82432, 0, 0, 0, -171492, 0, 0, 0, 0, 0, 0, 0, -78816, 0, 0, 0, -171600, 0, 0, 0, 0, 0, 0, 0, 43296, 0, 0, 0, 28672, 0, 0, 0, 0, 0, 0, 0, -248872, 0, 0, 0, -45600, 0, 0, 0, 0, 0, 0, 0, 192172, 0, 0, 0, -113736, 0, 0, 0, 0, 0, 0, 0, 300664, 0, 0, 0, -122928, 0, 0, 0, 0, 0, 0, 0, 151272, 0, 0, 0, 413492, 0, 0, 0, 0, 0, 0, 0, -157696, 0, 0, 0, 243712, 0, 0, 0, 0, 0, 0, 0, 31872, 0, 0, 0, 128484, 0, 0, 0, 0, 0, 0, 0, -250584, 0, 0, 0, -129024, 0, 0, 0, 0, 0, 0, 0, -127840, 0, 0, 0, 139732, 0, 0, 0, 0, 0, 0, 0, 215040, 0, 0, 0, 422912, 0, 0, 0, 0, 0, 0, 0, -33292, 0, 0, 0, 148036, 0, 0, 0, 0, 0, 0, 0, -66696, 0, 0, 0, -16512, 0, 0, 0, 0, 0, 0, 0, -285278, 0, 0, 0, -39360, 0, 0, 0, 0, 0, 0, 0, -168448, 0, 0, 0, 92656, 0, 0, 0, 0, 0, 0, 0, 53756, 0, 0, 0, -478464, 0, 0, 0, 0, 0, 0, 0, 213944, 0, 0, 0, 47200, 0, 0, 0, 0, 0, 0, 0, -9856, 0, 0, 0, -77056, 0, 0, 0, 0, 0, 0, 0, -143360, 0, 0, 0, 4416, 0, 0, 0, 0, 0, 0, 0, 255956, 0, 0, 0, -97788, 0, 0, 0, 0, 0, 0, 0, -172032, 0, 0, 0, -430080, 0, 0, 0, 0, 0, 0, 0, 275968, 0, 0, 0, 82368, 0, 0, 0, 0, 0, 0, 0, 18480, 0, 0, 0, -86016, 0, 0, 0, 0, 0, 0, 0, -163156, 0, 0, 0, -260948, 0, 0, 0, 0, 0, 0, 0, -31584, 0, 0, 0, -215040, 0, 0, 0, 0, 0, 0, 0, 161496, 0, 0, 0, 364308, 0, 0, 0, 0, 0, 0, 0, -129560, 0, 0, 0, 153360, 0, 0, 0, 0, 0, 0, 0, -228480, 0, 0, 0, -41216, 0, 0, 0, 0, 0, 0, 0, 128064, 0, 0, 0, -86016, 0, 0, 0, 0, 0, 0, 0, -106300, 0, 0, 0, 55860, 0, 0, 0, 0, 0, 0, 0, 64224, 0, 0, 0, 169552, 0, 0, 0, 0, 0, 0, 0, 331284, 0, 0, 0, -129764, 0, 0, 0, 0, 0, 0, 0, -129024, 0, 0, 0, 42224, 0, 0, 0, 0, 0, 0, 0, -200704, 0, 0, 0, 198060, 0, 0, 0, 0, 0, 0, 0, 584192, 0, 0, 0, -56256, 0, 0, 0, 0, 0, 0, 0, -74880, 0, 0, 0, 28736, 0, 0, 0, 0, 0, 0, 0, 104936, 0, 0, 0, 78848, 0, 0, 0, 0, 0, 0, 0, 321404, 0, 0, 0, -282932, 0, 0, 0, 0, 0, 0, 0, -80688, 0, 0, 0, -28752, 0, 0, 0, 0, 0, 0, 0, -155436, 0, 0, 0, 143360, 0, 0, 0, 0, 0, 0, 0, 278392, 0, 0, 0, -445360, 0, 0, 0, 0, 0, 0, 0, -57344, 0, 0, 0, 175468, 0, 0, 0, 0, 0, 0, 0, 137432, 0, 0, 0, -267312, 0, 0, 0, 0, 0, 0, 0, -225792, 0, 0, 0, -59136, 0, 0, 0, 0, 0, 0, 0, 86016, 0, 0, 0, 268752, 0, 0, 0, 0, 0, 0, 0, 3048, 0, 0, 0, 154292, 0, 0, 0, 0, 0, 0, 0, 374248, 0, 0, 0, -422320, 0, 0, 0, 0, 0, 0, 0, -156242, 0, 0, 0, 27784, 0, 0, 0, 0, 0, 0, 0, 17920, 0, 0, 0, -276256, 0, 0, 0, 0, 0, 0, 0, -343708, 0, 0, 0, -13908, 0, 0, 0, 0, 0, 0, 0, 111840, 0, 0, 0, 293888, 0, 0, 0, 0, 0, 0, 0, 82732, 0, 0, 0, 445444, 0, 0, 0, 0, 0, 0, 0, 526848, 0, 0, 0, 28752, 0, 0, 0, 0, 0, 0, 0, 430080, 0, 0, 0, -165096, 0, 0, 0, 0, 0, 0, 0, 401408, 0, 0, 0, 124752, 0, 0, 0, 0, 0, 0, 0, -247296, 0, 0, 0, -331108, 0, 0, 0, 0, 0, 0, 0, -395144, 0, 0, 0, 336896, 0, 0, 0, 0, 0, 0, 0, -134872, 0, 0, 0, -603904, 0, 0, 0, 0, 0, 0, 0, 68640, 0, 0, 0, -21504, 0, 0, 0, 0, 0, 0, 0, 127756, 0, 0, 0, -151740, 0, 0, 0, 0, 0, 0, 0, 48960, 0, 0, 0, -259680, 0, 0, 0, 0, 0, 0, 0, -210400, 0, 0, 0, -91392, 0, 0, 0, 0, 0, 0, 0, -27720, 0, 0, 0, -153504, 0, 0, 0, 0, 0, 0, 0], "weight": 4, "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], [0, 0], [0, 0], [0, 0], [6, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [20, 0], [0, 0], [0, 0], [0, 0], [-8, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [-89, 0], [0, 0], [0, 0], [0, 0], [-46, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, -6], [0, 0], [-164, 0], [0, 0], [0, 0], [0, 0], [-312, 0], [0, 0], [0, 20], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [105, 0], [0, 0], [0, 0], [0, 0], [266, 0], [0, 0], [0, 12], [0, 0], [0, 0], [0, 0], [0, -12], [0, 0], [-132, 0], [0, 0], [0, 0], [0, 0], [120, 0], [0, 0], [0, 24], [0, 0], [0, 0], [0, 0], [0, 32], [0, 0], [246, 0], [0, 0], [0, 0], [0, 0], [-896, 0], [0, 0], [0, 11], [0, 0], [0, 0], [0, 0], [0, 46], [0, 0], [-48, 0], [0, 0], [0, 0], [0, 0], [-1392, 0], [0, 0], [0, -20], [0, 0], [0, 0], [0, 0], [0, 24], [0, 0], [-302, 0], [0, 0], [0, 0], [0, 0]]}