# Stored data for newform 2160.4.a.bg, downloaded from the LMFDB on 14 October 2026.
{"Nk2": 34560, "analytic_conductor": 127.44412561239973, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 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": [2160, 1, [271, 1621, 2081, 1297], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 985, "field_disc_factorization": [[5, 1], [197, 1]], "field_poly": [1, -6, -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": [[7, [2744, -456, 6, 1]], [11, [20920, -1260, -12, 1]]], "hecke_orbit": 33, "hecke_orbit_code": 144115188142966896, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 72, "hecke_ring_index_factorization": [[2, 3], [3, 2]], "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": "2160.4.a.bg", "level": 2160, "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, 3, 5], "level_radical": 30, "minimal_twist": "1080.4.a.g", "nf_label": "3.3.985.1", "prim_orbit_index": 1, "qexp_display": "q-5q^{5}+(-2+\\beta _{2})q^{7}+(4-\\beta _{1}-\\beta _{2})q^{11}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2160.4.a", "trace_display": [0, 0, -15, -6], "trace_hash": 1199324751592361067, "trace_moments": [0, {"__RealLiteral__": 0, "data": "2.972", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "24.821", "prec": 17}, 0, {"__RealLiteral__": 0, "data": "307.514", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.003", "prec": 4}, "traces": [0, 3, 0, 0, 0, -15, 0, -6, 0, 0, 0, 12, 0, 18, 0, 0, 0, 21, 0, -57, 0, 0, 0, 87, 0, 75, 0, 0, 0, -138, 0, -117, 0, 0, 0, 30, 0, 150, 0, 0, 0, 0, 0, -180, 0, 0, 0, 684, 0, -81, 0, 0, 0, -87, 0, -60, 0, 0, 0, 714, 0, -513, 0, 0, 0, -90, 0, 174, 0, 0, 0, 768, 0, -252, 0, 0, 0, -888, 0, -207, 0, 0, 0, 1689, 0, -105, 0, 0, 0, -312, 0, -900, 0, 0, 0, 285, 0, -1080, 0, 0, 0, -2988, 0, 924, 0, 0, 0, 1668, 0, -1305, 0, 0, 0, -1698, 0, -435, 0, 0, 0, 2622, 0, -1329, 0, 0, 0, -375, 0, -3306, 0, 0, 0, 2682, 0, -2910, 0, 0, 0, -3537, 0, 1188, 0, 0, 0, 2688, 0, 690, 0, 0, 0, -3480, 0, -2760, 0, 0, 0, 585, 0, -1512, 0, 0, 0, -2262, 0, -5502, 0, 0, 0, 2139, 0, -3867, 0, 0, 0, -6261, 0, -150, 0, 0, 0, 3972, 0, 567, 0, 0, 0, -750, 0, -6012, 0, 0, 0, -150, 0, -4962, 0, 0, 0, -5277, 0, -6240, 0, 0, 0, 1788, 0, 0, 0, 0, 0, -2892, 0, 873, 0, 0, 0, 900, 0, 5490, 0, 0, 0, -5970, 0, -4602, 0, 0, 0, -1779, 0, -11751, 0, 0, 0, -978, 0, -3420, 0, 0, 0, 5046, 0, -6639, 0, 0, 0, 405, 0, -3006, 0, 0, 0, 5832, 0, -3180, 0, 0, 0, 1395, 0, 2868, 0, 0, 0, -4632, 0, 435, 0, 0, 0, -810, 0, -10125, 0, 0, 0, 300, 0, -5532, 0, 0, 0, 2970, 0, 6360, 0, 0, 0, 3816, 0, 264, 0, 0, 0, -2265, 0, -3570, 0, 0, 0, -3006, 0, -19584, 0, 0, 0, 2565, 0, -24546, 0, 0, 0, 294, 0, -10056, 0, 0, 0, -4155, 0, 12600, 0, 0, 0, 1905, 0, 450, 0, 0, 0, 13536, 0, -2748, 0, 0, 0, -870, 0, -3414, 0, 0, 0, 9228, 0, -12540, 0, 0, 0, -2868, 0, -22305, 0, 0, 0, 258, 0, -3840, 0, 0, 0, 4470, 0, 6642, 0, 0, 0, 1260, 0, -18198, 0, 0, 0, -17682, 0, -25752, 0, 0, 0, 12324, 0, -14355, 0, 0, 0, -7053, 0, 4440, 0, 0, 0, 8172, 0, 5577, 0, 0, 0, 1035, 0, 23094, 0, 0, 0, 3642, 0, 8994, 0, 0, 0, -16872, 0, -26733, 0, 0, 0, 12828, 0, -8445, 0, 0, 0, -7188, 0, -12231, 0, 0, 0, 525, 0, -18846, 0, 0, 0, -2838, 0, 15270, 0, 0, 0, 21459, 0, 2883, 0, 0, 0, -24759, 0, 1560, 0, 0, 0, 33390, 0, -25344, 0, 0, 0, 4500, 0, 25644, 0, 0, 0, 978, 0, 13686, 0, 0, 0, -3531, 0, -14316, 0, 0, 0, 10416, 0, -1425, 0, 0, 0, -2364, 0, -16572, 0, 0, 0, 5400, 0, -37992, 0, 0, 0, -9618, 0, -25758, 0, 0, 0, -13200, 0, 25059, 0, 0, 0, -27489, 0, 14940, 0, 0, 0, 26124, 0, 5976, 0, 0, 0, -4620, 0, -12840, 0, 0, 0, 18024, 0, -17886, 0, 0, 0, -14955, 0, -12954, 0, 0, 0, -25344, 0, -8340, 0, 0, 0, 18756, 0, 6066, 0, 0, 0, 6525, 0, -15612, 0, 0, 0, -45906, 0, -13986, 0, 0, 0, 31398, 0, 10056, 0, 0, 0, -24012, 0, 8490, 0, 0, 0, -12402, 0, 19167, 0, 0, 0, 2175, 0, 62256, 0, 0, 0, -11514, 0, 14316, 0, 0, 0, -4785, 0, -58401, 0, 0, 0, 3135, 0, -13110, 0, 0, 0, -4290, 0, 15687, 0, 0, 0, 6645, 0, -9132, 0, 0, 0, -11472, 0, -10272, 0, 0, 0, 4713, 0, 54216, 0, 0, 0, -29256, 0, 1875, 0, 0, 0, 39162, 0, -2391, 0, 0, 0, 16530, 0, 18594, 0, 0, 0, -20976, 0, 29478, 0, 0, 0, 10287, 0, -4848, 0, 0, 0, -1119, 0, -13410, 0, 0, 0, -15042, 0, -31566, 0, 0, 0, 14550, 0, -51018, 0, 0, 0, 34476, 0, 15282, 0, 0, 0, -32754, 0, 58608, 0, 0, 0, 26889, 0, 17685, 0, 0, 0, 14142, 0, 40737, 0, 0, 0, -5940, 0, 54504, 0, 0, 0, 9678, 0, 30558, 0, 0, 0, -31032, 0, -30642, 0, 0, 0, -58761, 0, -13440, 0, 0, 0, 48882, 0, 54312, 0, 0, 0, -3450, 0, -37776, 0, 0, 0, -43476, 0, -47544, 0, 0, 0, -8232, 0, 22509, 0, 0, 0, -7608, 0, 17400, 0, 0, 0, -20544, 0, 6729, 0, 0, 0, 13800, 0, 45486, 0, 0, 0, -37878, 0, 19530, 0, 0, 0, -3420, 0, 20679, 0, 0, 0, -8631, 0, -2925, 0, 0, 0, 53136, 0, -20712, 0, 0, 0, 7560, 0, -13752, 0, 0, 0, 17580, 0, 33450, 0, 0, 0, 25923, 0, 50844, 0, 0, 0, -33336, 0, 11310, 0, 0, 0, 21432, 0, 1380, 0, 0, 0, 27510, 0, 89676, 0, 0, 0, -26562, 0, 41388, 0, 0, 0, 65079, 0, -31830, 0, 0, 0, -53487, 0, -10695, 0, 0, 0, 29232, 0, 52005, 0, 0, 0, 19335, 0, -2310, 0, 0, 0, 40926, 0, -15876, 0, 0, 0, -101523, 0, 52509, 0, 0, 0, 32247, 0, 31305, 0, 0, 0, 50652, 0, -7884, 0, 0, 0, 750, 0, 58704, 0, 0, 0, -4086, 0, 29394, 0, 0, 0, 21927, 0, 7476, 0, 0, 0, -55692, 0, -19860, 0, 0, 0, 130254, 0, -47793, 0, 0, 0, -2835, 0, -29676, 0, 0, 0, -36534, 0, 45180, 0, 0, 0, -4212, 0, 64464, 0, 0, 0, -19176, 0, 3750, 0, 0, 0, -22512, 0, 32859, 0, 0, 0, 30060, 0, 118176, 0, 0, 0, -97326, 0, 56952, 0, 0, 0, 2493, 0, -33840, 0, 0, 0, -35106, 0, 750, 0, 0, 0, 71874, 0, 61086, 0, 0, 0, 24810, 0, -66558, 0, 0, 0, 75354, 0, -68040, 0, 0, 0, 27546, 0, 51792, 0, 0, 0, -67293, 0, 26385, 0, 0, 0, 61092, 0, 67773, 0, 0, 0, 31200, 0, -2760, 0, 0, 0, -12072, 0, 34662, 0, 0, 0, 64797, 0, -12591, 0, 0, 0, -52209, 0, -8940, 0, 0, 0, 55596, 0, -3147, 0, 0, 0, 0, 0, 50238, 0, 0, 0, 82938, 0, 37524, 0, 0, 0, -96519, 0, 93429, 0, 0, 0, 15672, 0, 14460, 0, 0, 0, 55110, 0, 54387, 0, 0, 0, -4365, 0, 87240, 0, 0, 0, 18, 0, 43296, 0, 0, 0, -49152, 0, -60810, 0, 0, 0, -118164, 0, -4500, 0, 0, 0, 48558, 0, -7956, 0, 0, 0, -27450, 0, -69660, 0, 0, 0, -146568, 0, 42294, 0, 0, 0, 6066, 0, 44928, 0, 0, 0, 11457, 0, 29850, 0, 0, 0, -22668, 0, 33120, 0, 0, 0, 23010, 0, -31302, 0, 0, 0, -75990, 0, 57048, 0, 0, 0, 14211, 0, 122499, 0, 0, 0, -48144, 0, 8895, 0, 0, 0, 5106, 0, -21108, 0, 0, 0, 58755, 0, -104442, 0, 0, 0, -56490, 0, 16578, 0, 0, 0, 51168, 0, 19395, 0, 0, 0, -75345, 0, 4890, 0, 0, 0, 85722, 0, 47985, 0, 0, 0, 17100, 0, 108024, 0, 0, 0, -44928, 0, -690, 0, 0, 0, 47025, 0, -168408, 0, 0, 0, -32517, 0, -25230, 0, 0, 0, 75540, 0, 120951, 0, 0, 0, 33195, 0, 41280, 0, 0, 0, 33042, 0, -35376, 0, 0, 0, -110058, 0, 42765, 0, 0, 0, -76776, 0, -2025, 0, 0, 0, 135912, 0, -8004, 0, 0, 0, 15030, 0, 26322, 0, 0, 0, 68364, 0, 54672, 0, 0, 0, -82128, 0, 52977, 0, 0, 0, -97224, 0, -29160, 0, 0, 0, 94458, 0, -51312, 0, 0, 0, 15900, 0, 16362, 0, 0, 0, -153144, 0, 107286, 0, 0, 0, 23058, 0, 60708, 0, 0, 0, -137559, 0, -6975, 0, 0, 0, 18108, 0, -80460, 0, 0, 0, -14340, 0, 82770, 0, 0, 0, -130716, 0, -83592, 0, 0, 0, -1356, 0, 28368, 0, 0, 0, 27144, 0, 23160, 0, 0, 0, 50748, 0, 52335, 0, 0, 0, -2175, 0, -20136, 0, 0, 0, -47616, 0, -163164, 0, 0, 0, 87852, 0, -46296, 0, 0, 0, -118809, 0, 4050, 0, 0, 0, 126744, 0, 63636, 0, 0, 0, 50625, 0, -27462, 0, 0, 0, 65904, 0, -21936, 0, 0, 0, -93081, 0, -17355, 0, 0, 0, 6489, 0, -1500, 0, 0, 0, 47274, 0, -16098, 0, 0, 0, 27660, 0, 68940, 0, 0, 0, 111360, 0, 45024, 0, 0, 0, -39480, 0, -128853, 0, 0, 0, -25101, 0, -14850, 0, 0, 0, 170802, 0, -73161, 0, 0, 0, -31800, 0, 72930, 0, 0, 0, 23526, 0, 15696, 0, 0, 0, -227475, 0, -81555, 0, 0, 0, -51309, 0, -19080, 0, 0, 0, 37488, 0, -55800, 0, 0, 0, -1320, 0, 2598, 0, 0, 0, -164172, 0, -13620, 0, 0, 0, 42468, 0, 67719, 0, 0, 0, -89472, 0, 11325, 0, 0, 0, 51276, 0, -51456, 0, 0, 0, 17850, 0, -52362, 0, 0, 0, -19086, 0, -12918, 0, 0, 0, 79605, 0, 55923, 0, 0, 0, 20739, 0, 15030, 0, 0, 0, -56958, 0, -64107, 0, 0, 0, 97920, 0, -115788, 0, 0, 0, -136020, 0, -138144, 0, 0, 0, 187488, 0, -36081, 0, 0, 0, -134316, 0, -12825, 0, 0, 0, 109008, 0, 5547, 0, 0, 0, 122730, 0, -39390, 0, 0, 0, 101670, 0, -69666, 0, 0, 0, 33612, 0, -167937, 0, 0, 0, 19482, 0, -1470, 0, 0, 0, 90234, 0, 76740, 0, 0, 0, 50280, 0, 155904, 0, 0, 0, 19830, 0, -34302, 0, 0, 0, -98547, 0, -84852, 0, 0, 0, -154671, 0, 20775, 0, 0, 0, 220422, 0, -18312, 0, 0, 0, -63000, 0, -235914, 0, 0, 0, 136926, 0, 29046, 0, 0, 0, -145479, 0, 100347, 0, 0, 0, -98547, 0, -9525, 0, 0, 0, 133800, 0, -232677, 0, 0, 0, -2250, 0, -103194, 0, 0, 0, -228012, 0, 151944, 0, 0, 0, 9093, 0, -156528, 0, 0, 0, -111423, 0, -67680, 0, 0, 0, 138552, 0, -46092, 0, 0, 0, 13740, 0, -119850, 0, 0, 0, -244680, 0, 33624, 0, 0, 0, 28587, 0, 36081, 0, 0, 0, -54876, 0, 4350, 0, 0, 0, 62316, 0, 70653, 0, 0, 0, 17070, 0, -157578, 0, 0, 0, 26088, 0, -46404, 0, 0, 0, 95379, 0, 23604, 0, 0, 0, -50436, 0, -46140, 0, 0, 0, 148656, 0, 33828, 0, 0, 0, 62700, 0, -148068, 0, 0, 0, 226722, 0, -166194, 0, 0, 0, -97464, 0, -95292, 0, 0, 0, -11178, 0, 14340, 0, 0, 0, 99192, 0, -26307, 0, 0, 0, 111525, 0, 193974, 0, 0, 0, 166308, 0, 32016, 0, 0, 0, -23472, 0, -65253, 0, 0, 0, 5976, 0, -1290, 0, 0, 0, 136974, 0, -111000, 0, 0, 0, 19200, 0, -161940, 0, 0, 0, -122862, 0, -76026, 0, 0, 0, -160461, 0, 45639, 0, 0, 0, -46920, 0, -22350, 0, 0, 0, 9162, 0, 104259, 0, 0, 0, -33210, 0, 111384, 0, 0, 0, -153120, 0, -97650, 0, 0, 0, -88443, 0, -208236, 0, 0, 0, -41352, 0, -6300, 0, 0, 0, 95850, 0, -219633, 0, 0, 0, 90990, 0, -165444, 0, 0, 0, -221784, 0, -183672, 0, 0, 0, 107595, 0, 226335, 0, 0, 0, -153735, 0, 88410, 0, 0, 0, -31332, 0, -97407, 0, 0, 0, 128760, 0, -106524, 0, 0, 0, -115338, 0, -13098, 0, 0, 0, 107370, 0, -104355, 0, 0, 0, -56412, 0, -61620, 0, 0, 0, -35088, 0, 53895, 0, 0, 0, 71775, 0, -55422, 0, 0, 0, 80304, 0, -69444, 0, 0, 0, 217227, 0, -25611, 0, 0, 0, -61878, 0, 35265, 0, 0, 0, 143604, 0, -120630, 0, 0, 0, -22200, 0, 82584, 0, 0, 0, 15798, 0, 816, 0, 0, 0, -163488, 0, -87288, 0, 0, 0, -205140, 0, -40860, 0, 0, 0, 107604, 0, -52269, 0, 0, 0, -27885, 0, -198996, 0, 0, 0, -50238, 0, -250200, 0, 0, 0, -18396, 0, 65568, 0, 0, 0, -62778, 0, -5175, 0, 0, 0, 261816, 0, -55272, 0, 0, 0, -115470, 0, 88914, 0, 0, 0, -92076, 0, 83664, 0, 0, 0, -93711, 0, -177600, 0, 0, 0, -182007, 0, -18210, 0, 0, 0, -125640, 0, -118755, 0, 0, 0, -44970, 0, 143280, 0, 0, 0, -351336, 0, -28968, 0, 0, 0, 198660, 0, -16959, 0, 0, 0, -232500, 0, 84360, 0, 0, 0, 186852, 0, -100488, 0, 0, 0, 133665, 0, -18768, 0, 0, 0, 5538, 0, -141528, 0, 0, 0, 38385, 0, -330576, 0, 0, 0, 139617, 0, -64140, 0, 0, 0, -20508, 0, -319005, 0, 0, 0, 42225, 0, -259794, 0, 0, 0, 221352, 0, 143346, 0, 0, 0, -102075, 0, -94767, 0, 0, 0, -115524, 0, 35940, 0, 0, 0, 196992, 0, 49512, 0, 0, 0, 61155, 0, 297540, 0, 0, 0, 318936, 0, 81258, 0, 0, 0, -197784, 0, -57924, 0, 0, 0, 81504, 0, -2625, 0, 0, 0, 44010, 0, 135669, 0, 0, 0, 94230, 0, -353832, 0, 0, 0, -207804, 0, -106752, 0, 0, 0, -237234, 0, 133476, 0, 0, 0, -60339, 0, 14190, 0, 0, 0, 30234, 0, -42774, 0, 0, 0, -76350, 0, -2268, 0, 0, 0, -161166, 0, -50976, 0, 0, 0, -287436, 0, -270099, 0, 0, 0, 40308, 0, -107295, 0, 0, 0, 57744, 0, 255552, 0, 0, 0, -14415, 0, -78612, 0, 0, 0, -371856, 0, -143664, 0, 0, 0, 310536, 0, 83619, 0, 0, 0, -96585, 0, 123795, 0, 0, 0, -124098, 0, 14814, 0, 0, 0, -7800, 0, 152982, 0, 0, 0, -179064, 0, 176760, 0, 0, 0, 370674, 0, 125184, 0, 0, 0, 244356, 0, -166950, 0, 0, 0, -81966, 0, -209352, 0, 0, 0, 126720, 0, -238386, 0, 0, 0, 142782, 0, -177660, 0, 0, 0, 67356, 0, 81381, 0, 0, 0, -300435, 0, -22500, 0, 0, 0, 392964, 0, 93306, 0, 0, 0, -128220, 0, 165900, 0, 0, 0, 291762, 0, -68520, 0, 0, 0, -287871, 0, 134043, 0, 0, 0, -258948, 0, -4890, 0, 0, 0, 80682, 0, -24939, 0, 0, 0, -68430, 0, -330312, 0, 0, 0, 24756, 0, -36828, 0, 0, 0, 73512, 0, 243321, 0, 0, 0, -154314, 0, 17655, 0, 0, 0, 110040, 0, 102237, 0, 0, 0, 71580, 0, 124404, 0, 0, 0, -16020, 0, -90942, 0, 0, 0, 58983, 0, -492996, 0, 0, 0, -265860, 0, -52080, 0, 0, 0, -98484, 0, 160260, 0, 0, 0, 7125, 0, -26286, 0, 0, 0, -403986, 0, -17784, 0, 0, 0, 254928, 0, 392910, 0, 0, 0, -340011, 0, 11820, 0, 0, 0, 31938, 0, -73857, 0, 0, 0, 82860, 0, 156474, 0, 0, 0, 123390, 0, 136398, 0, 0, 0, -42162, 0, -7344, 0, 0, 0, 151563, 0, -27000, 0, 0, 0, -9384, 0, 54312, 0, 0, 0, 189960, 0, -28566, 0, 0, 0, 206718, 0, 8610, 0, 0, 0, -148008, 0, 232713, 0, 0, 0, -77112, 0, 48090, 0, 0, 0, 422130, 0, -169644, 0, 0, 0, 128790, 0, 331716, 0, 0, 0, 389292, 0, 26298, 0, 0, 0, 105705, 0, 135996, 0, 0, 0, 49212, 0, 66000, 0, 0, 0, 141714, 0, -302340, 0, 0, 0, -125295, 0, -356412, 0, 0, 0, -299232, 0, -483342, 0, 0, 0, -364725, 0, 71580, 0, 0, 0, 114900, 0, 137445, 0, 0, 0, -101220, 0, 35046, 0, 0, 0, -74700, 0, 285012, 0, 0, 0, -91746, 0, 269568, 0, 0, 0, -368424, 0, -365697, 0, 0, 0, 207789, 0, -130620, 0, 0, 0, 143724, 0, 89739, 0, 0, 0, -29880, 0, 559080, 0, 0, 0, -12822, 0, 168360, 0, 0, 0, 529680, 0, 51444, 0, 0, 0, 135753, 0, 23100, 0, 0, 0, -137574, 0, 169752, 0, 0, 0, 64200, 0, 45264, 0, 0, 0, -555102, 0, 145236, 0, 0, 0, 278469, 0, -304554, 0, 0, 0, -16677, 0, -90120, 0, 0, 0, -155346, 0, -93648, 0, 0, 0, 89430, 0, -366030, 0, 0, 0, 88620, 0, 381468, 0, 0, 0, 275328, 0, 112440, 0, 0, 0, -27909, 0, 74775, 0, 0, 0, 180336, 0, 58644, 0, 0, 0, 64770, 0, 277530, 0, 0, 0, 165708, 0, 298350, 0, 0, 0, -140079, 0, 38052, 0, 0, 0, -201588, 0, 126720, 0, 0, 0, 214152, 0, 251001, 0, 0, 0, 41700, 0, -447510, 0, 0, 0, 348042, 0, -166284, 0, 0, 0, -369216, 0, 111246, 0, 0, 0, 185325, 0, -93780, 0, 0, 0, 5010, 0, 224136, 0, 0, 0, -30330, 0, 114198, 0, 0, 0, -63330, 0, 111336, 0, 0, 0, 52392, 0, -446835, 0, 0, 0, -226224, 0, -32625, 0, 0, 0, 61518, 0, 217665, 0, 0, 0, 78060, 0, 227598, 0, 0, 0, -322356, 0, 26502, 0, 0, 0, 204912, 0, 320238, 0, 0, 0, -111642, 0, 229530, 0, 0, 0, 48048, 0, 66960, 0, 0, 0, 69930, 0, 307998, 0, 0, 0, -20802, 0, 384336, 0, 0, 0, 205614, 0, 139716, 0, 0, 0, 65283, 0, -156990, 0, 0, 0, -27690, 0, -246945, 0, 0, 0, -50280, 0, -76638, 0, 0, 0, 723414, 0, 389172, 0, 0, 0, -443460, 0, -101652, 0, 0, 0, 199056, 0, 120060, 0, 0, 0, 178170, 0, 265908, 0, 0, 0, -42450, 0, -10908, 0, 0, 0, 441672, 0, -219390, 0, 0, 0, 279651, 0, 452973, 0, 0, 0, -64545, 0, 62010, 0, 0, 0, -74832, 0, 280215, 0, 0, 0, -95835, 0, -226602, 0, 0, 0, -180702, 0, 101346, 0, 0, 0, -451572, 0, 263040, 0, 0, 0, -3765, 0, -10875, 0, 0, 0, -576510, 0, 374472, 0, 0, 0, -311280, 0, 145728, 0, 0, 0, -227718, 0, 127464, 0, 0, 0, -292029, 0, -86316, 0, 0, 0, 21765, 0, 57570, 0, 0, 0, 401772, 0, 367056, 0, 0, 0, -71580, 0, 248478, 0, 0, 0, -21426, 0, -364590, 0, 0, 0, 44829, 0, 164952, 0, 0, 0, -26232, 0, 23925, 0, 0, 0, -639714, 0, 65493, 0, 0, 0, 292005, 0, 412542, 0, 0, 0, -359970, 0, -120222, 0, 0, 0, 220455, 0, 239448, 0, 0, 0, 30939, 0, -15675, 0, 0, 0, -88458, 0, -126555, 0, 0, 0, 65550, 0, -124722, 0, 0, 0, 269388, 0, 51552, 0, 0, 0, 48216, 0, 381771, 0, 0, 0, 349632, 0, 21450, 0, 0, 0, 247104, 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, 0], [1, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-5, 0, 0], [0, 0, 0], [-2, 0, 1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [4, -1, -1], [0, 0, 0], [6, -1, -1], [0, 0, 0], [0, 0, 0], [0, 0, 0], [7, 2, 3], [0, 0, 0], [-19, 3, -3], [0, 0, 0], [0, 0, 0], [0, 0, 0], [29, 3, -2], [0, 0, 0], [25, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-46, -8, 1], [0, 0, 0], [-39, -8, 5], [0, 0, 0], [0, 0, 0], [0, 0, 0], [10, 0, -5], [0, 0, 0], [50, 8, 4], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 12, 5], [0, 0, 0], [-60, 4, -21], [0, 0, 0], [0, 0, 0], [0, 0, 0], [228, 1, 16], [0, 0, 0], [-27, -3, -16], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-29, 1, -19], [0, 0, 0], [-20, 5, 5], [0, 0, 0], [0, 0, 0], [0, 0, 0], [238, -3, 15], [0, 0, 0], [-171, -10, -22], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-30, 5, 5], [0, 0, 0], [58, 12, -14], [0, 0, 0], [0, 0, 0], [0, 0, 0], [256, 19, -11], [0, 0, 0], [-84, 15, 7], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-296, -7, 22], [0, 0, 0], [-69, -21, -17], [0, 0, 0], [0, 0, 0], [0, 0, 0], [563, -17, -10], [0, 0, 0], [-35, -10, -15], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-104, -14, -33], [0, 0, 0], [-300, -7, 24], [0, 0, 0], [0, 0, 0], [0, 0, 0], [95, -15, 15], [0, 0, 0], [-360, -4, 60], [0, 0, 0], [0, 0, 0], [0, 0, 0]]}