# Stored data for newform 900.6.a.l, downloaded from the LMFDB on 18 April 2024.
{"label": "900.6.a.l", "space_label": "900.6.a", "level": 900, "weight": 6, "hecke_orbit": 12, "hecke_orbit_code": 49539596001739652, "dim": 2, "is_polredabs": true, "nf_label": "2.2.376.1", "trace_hash": 812280118970393273, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [71, 1]], [11, [-338400, 0, 1]]], "qexp_display": "q-71q^{7}+\\beta q^{11}-137q^{13}+\\beta q^{17}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32400, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 144.34543783168257, "hecke_ring_index": 60, "level_radical": 30, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.509", "prec": 17}, "analytic_rank_proved": true, "char_values": [900, 1, [451, 101, 577], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 2, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 376, "field_disc_factorization": [[2, 3], [47, 1]], "field_poly": [-94, 0, 1], "hecke_ring_index_factorization": [[2, 2], [3, 1], [5, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.058", "prec": 17}, {"__RealLiteral__": 0, "data": "1.912", "prec": 17}, {"__RealLiteral__": 0, "data": "0.762", "prec": 17}, {"__RealLiteral__": 0, "data": "14.939", "prec": 20}, {"__RealLiteral__": 0, "data": "9.220", "prec": 17}, {"__RealLiteral__": 0, "data": "146.236", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 1]], "trace_display": [0, 0, 0, -142], "traces": [0, 2, 0, 0, 0, 0, 0, -142, 0, 0, 0, 0, 0, -274, 0, 0, 0, 0, 0, -2174, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4538, 0, 0, 0, 0, 0, 12020, 0, 0, 0, 0, 0, -8566, 0, 0, 0, 0, 0, -23532, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25438, 0, 0, 0, 0, 0, -13798, 0, 0, 0, 0, 0, 48020, 0, 0, 0, 0, 0, 24472, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19454, 0, 0, 0, 0, 0, 39302, 0, 0, 0, 0, 0, 304760, 0, 0, 0, 0, 0, 6274, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 354698, 0, 0, 0, 0, 0, -7240, 0, 0, 0, 0, 0, 154354, 0, 0, 0, 0, 0, -623072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 246442, 0, 0, 0, 0, 0, 774122, 0, 0, 0, 0, 0, 1016654, 0, 0, 0, 0, 0, -705048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 634522, 0, 0, 0, 0, 0, 676800, 0, 0, 0, 0, 0, 1550546, 0, 0, 0, 0, 0, -1505006, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1087978, 0, 0, 0, 0, 0, 322198, 0, 0, 0, 0, 0, 2327426, 0, 0, 0, 0, 0, -1119854, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3458818, 0, 0, 0, 0, 0, 297838, 0, 0, 0, 0, 0, 4737600, 0, 0, 0, 0, 0, -853420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2024104, 0, 0, 0, 0, 0, 3302558, 0, 0, 0, 0, 0, 3768446, 0, 0, 0, 0, 0, -2162914, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 608186, 0, 0, 0, 0, 0, 849782, 0, 0, 0, 0, 0, 4521914, 0, 0, 0, 0, 0, -4737600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6791104, 0, 0, 0, 0, 0, 745958, 0, 0, 0, 0, 0, 4057366, 0, 0, 0, 0, 0, -5435972, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2589060, 0, 0, 0, 0, 0, 3930638, 0, 0, 0, 0, 0, 2468954, 0, 0, 0, 0, 0, -4735994, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4737600, 0, 0, 0, 0, 0, 4050338, 0, 0, 0, 0, 0, 621706, 0, 0, 0, 0, 0, 3184306, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -185804, 0, 0, 0, 0, 0, -1806098, 0, 0, 0, 0, 0, 6140906, 0, 0, 0, 0, 0, 3399574, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2030400, 0, 0, 0, 0, 0, -134380, 0, 0, 0, 0, 0, -2172040, 0, 0, 0, 0, 0, 979658, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1646740, 0, 0, 0, 0, 0, -14791978, 0, 0, 0, 0, 0, -4737600, 0, 0, 0, 0, 0, 855514, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3409420, 0, 0, 0, 0, 0, 1353600, 0, 0, 0, 0, 0, -14572186, 0, 0, 0, 0, 0, 20290514, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14871302, 0, 0, 0, 0, 0, -5788720, 0, 0, 0, 0, 0, -1737512, 0, 0, 0, 0, 0, 1173542, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7465262, 0, 0, 0, 0, 0, 14635082, 0, 0, 0, 0, 0, -29102400, 0, 0, 0, 0, 0, 4932806, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17328098, 0, 0, 0, 0, 0, -21468040, 0, 0, 0, 0, 0, -33280780, 0, 0, 0, 0, 0, -2092046, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8428082, 0, 0, 0, 0, 0, 3223884, 0, 0, 0, 0, 0, -27398320, 0, 0, 0, 0, 0, 33840000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16320404, 0, 0, 0, 0, 0, -33163200, 0, 0, 0, 0, 0, -21268900, 0, 0, 0, 0, 0, -2790442, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22125104, 0, 0, 0, 0, 0, 2030400, 0, 0, 0, 0, 0, -13065740, 0, 0, 0, 0, 0, 29254186, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21637960, 0, 0, 0, 0, 0, -23261998, 0, 0, 0, 0, 0, -35599300, 0, 0, 0, 0, 0, 20655328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4533496, 0, 0, 0, 0, 0, 31073798, 0, 0, 0, 0, 0, -445454, 0, 0, 0, 0, 0, 52790494, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -46699200, 0, 0, 0, 0, 0, -67040722, 0, 0, 0, 0, 0, -3485006, 0, 0, 0, 0, 0, 1353600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39931402, 0, 0, 0, 0, 0, 9311242, 0, 0, 0, 0, 0, -71598766, 0, 0, 0, 0, 0, 10050628, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7859098, 0, 0, 0, 0, 0, -25183558, 0, 0, 0, 0, 0, 44888306, 0, 0, 0, 0, 0, -45752528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1890326, 0, 0, 0, 0, 0, 54395978, 0, 0, 0, 0, 0, -36202126, 0, 0, 0, 0, 0, 514040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29102400, 0, 0, 0, 0, 0, -5831920, 0, 0, 0, 0, 0, 31132800, 0, 0, 0, 0, 0, -11271494, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25579284, 0, 0, 0, 0, 0, 48390938, 0, 0, 0, 0, 0, 14212800, 0, 0, 0, 0, 0, -6578740, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -46961580, 0, 0, 0, 0, 0, -51852040, 0, 0, 0, 0, 0, 44238112, 0, 0, 0, 0, 0, -64972800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 79359478, 0, 0, 0, 0, 0, 100730420, 0, 0, 0, 0, 0, 33840000, 0, 0, 0, 0, 0, -12801206, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26488198, 0, 0, 0, 0, 0, -3352664, 0, 0, 0, 0, 0, 78563126, 0, 0, 0, 0, 0, -103623134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 98421922, 0, 0, 0, 0, 0, -17497382, 0, 0, 0, 0, 0, 44314586, 0, 0, 0, 0, 0, 66762214, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9475200, 0, 0, 0, 0, 0, -37614502, 0, 0, 0, 0, 0, 134289494, 0, 0, 0, 0, 0, -54962662, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 159048000, 0, 0, 0, 0, 0, 89092262, 0, 0, 0, 0, 0, 68229206, 0, 0, 0, 0, 0, -13404134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72182434, 0, 0, 0, 0, 0, -27273380, 0, 0, 0, 0, 0, 129975566, 0, 0, 0, 0, 0, -27651106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 81188902, 0, 0, 0, 0, 0, 207777600, 0, 0, 0, 0, 0, 50058408, 0, 0, 0, 0, 0, -14212800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54696004, 0, 0, 0, 0, 0, -46699200, 0, 0, 0, 0, 0, 126237500, 0, 0, 0, 0, 0, -203716800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48929896, 0, 0, 0, 0, 0, -23944660, 0, 0, 0, 0, 0, 108288000, 0, 0, 0, 0, 0, -9489572, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5384374, 0, 0, 0, 0, 0, -45051062, 0, 0, 0, 0, 0, 14998426, 0, 0, 0, 0, 0, -101435846, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 155845222, 0, 0, 0, 0, 0, 207963122, 0, 0, 0, 0, 0, -20176726, 0, 0, 0, 0, 0, -48052800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21865004, 0, 0, 0, 0, 0, -140312182, 0, 0, 0, 0, 0, 19436254, 0, 0, 0, 0, 0, -41752120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110088766, 0, 0, 0, 0, 0, 236880000, 0, 0, 0, 0, 0, -9475200, 0, 0, 0, 0, 0, -66447714, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 145479778, 0, 0, 0, 0, 0, -52197740, 0, 0, 0, 0, 0, 106855426, 0, 0, 0, 0, 0, -80590814, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31132800, 0, 0, 0, 0, 0, -859538, 0, 0, 0, 0, 0, -9093640, 0, 0, 0, 0, 0, 226691494, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -106257600, 0, 0, 0, 0, 0, 45947582, 0, 0, 0, 0, 0, 3740486, 0, 0, 0, 0, 0, 85930672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43766582, 0, 0, 0, 0, 0, -77246438, 0, 0, 0, 0, 0, -18734320, 0, 0, 0, 0, 0, 37208572, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26601064, 0, 0, 0, 0, 0, -312681600, 0, 0, 0, 0, 0, -64972800, 0, 0, 0, 0, 0, 53394108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 83646142, 0, 0, 0, 0, 0, 203716800, 0, 0, 0, 0, 0, -285032746, 0, 0, 0, 0, 0, 116543374, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -165247246, 0, 0, 0, 0, 0, -241960018, 0, 0, 0, 0, 0, -48593626, 0, 0, 0, 0, 0, -152607026, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -51481660, 0, 0, 0, 0, 0, -316125700, 0, 0, 0, 0, 0, 79509634, 0, 0, 0, 0, 0, 344834554, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -174579518, 0, 0, 0, 0, 0, 241526240, 0, 0, 0, 0, 0, -326894400, 0, 0, 0, 0, 0, 174614400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 991880, 0, 0, 0, 0, 0, 136411340, 0, 0, 0, 0, 0, -175939966, 0, 0, 0, 0, 0, 126202228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -225621202, 0, 0, 0, 0, 0, -245576078, 0, 0, 0, 0, 0, -216761086, 0, 0, 0, 0, 0, 74495872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -236880000, 0, 0, 0, 0, 0, 159048000, 0, 0, 0, 0, 0, -391559920, 0, 0, 0, 0, 0, -21146498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17214142, 0, 0, 0, 0, 0, 16751840, 0, 0, 0, 0, 0, -301958380, 0, 0, 0, 0, 0, -3271274, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336369600, 0, 0, 0, 0, 0, -430648738, 0, 0, 0, 0, 0, -332262934, 0, 0, 0, 0, 0, 124472206, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -218481602, 0, 0, 0, 0, 0, 85360864, 0, 0, 0, 0, 0, -141427320, 0, 0, 0, 0, 0, 207777600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 189051496, 0, 0, 0, 0, 0, -72417600, 0, 0, 0, 0, 0, -42721274, 0, 0, 0, 0, 0, -257328708, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -266382338, 0, 0, 0, 0, 0, -198379882, 0, 0, 0, 0, 0, -56998306, 0, 0, 0, 0, 0, 502483672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -57718822, 0, 0, 0, 0, 0, -143711384, 0, 0, 0, 0, 0, -557006400, 0, 0, 0, 0, 0, 217929600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108288000, 0, 0, 0, 0, 0, 4060800, 0, 0, 0, 0, 0, 90222386, 0, 0, 0, 0, 0, -234481618, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -562268402, 0, 0, 0, 0, 0, -331274120, 0, 0, 0, 0, 0, -33762554, 0, 0, 0, 0, 0, 322156800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -267559666, 0, 0, 0, 0, 0, 466545680, 0, 0, 0, 0, 0, -107054260, 0, 0, 0, 0, 0, 593825446, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 579967504, 0, 0, 0, 0, 0, 80837198, 0, 0, 0, 0, 0, 153566894, 0, 0, 0, 0, 0, -241093286, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -106054714, 0, 0, 0, 0, 0, -454809600, 0, 0, 0, 0, 0, -141597580, 0, 0, 0, 0, 0, 326894400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6819838, 0, 0, 0, 0, 0, 31307662, 0, 0, 0, 0, 0, 453367586, 0, 0, 0, 0, 0, -273204854, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 502862400, 0, 0, 0, 0, 0, 100787556, 0, 0, 0, 0, 0, -93484666, 0, 0, 0, 0, 0, -139281598, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -293823296, 0, 0, 0, 0, 0, -640571638, 0, 0, 0, 0, 0, -282380134, 0, 0, 0, 0, 0, -60334522, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 573823804, 0, 0, 0, 0, 0, 781027200, 0, 0, 0, 0, 0, -87307200, 0, 0, 0, 0, 0, -465145166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -321055894, 0, 0, 0, 0, 0, 198325858, 0, 0, 0, 0, 0, 712250294, 0, 0, 0, 0, 0, -455982814, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -374209358, 0, 0, 0, 0, 0, -106257600, 0, 0, 0, 0, 0, 336369600, 0, 0, 0, 0, 0, 42172606, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 139404418, 0, 0, 0, 0, 0, 152882380, 0, 0, 0, 0, 0, -108957380, 0, 0, 0, 0, 0, -59708954, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 714239842, 0, 0, 0, 0, 0, 761709560, 0, 0, 0, 0, 0, 208401866, 0, 0, 0, 0, 0, -385556726, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -140803742, 0, 0, 0, 0, 0, -482168384, 0, 0, 0, 0, 0, 1113336000, 0, 0, 0, 0, 0, -312681600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 393476938, 0, 0, 0, 0, 0, 1014717998, 0, 0, 0, 0, 0, -86929514, 0, 0, 0, 0, 0, -52963018, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 307439842, 0, 0, 0, 0, 0, -158323180, 0, 0, 0, 0, 0, 830659766, 0, 0, 0, 0, 0, -1089032354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 107429338, 0, 0, 0, 0, 0, -217929600, 0, 0, 0, 0, 0, 7869880, 0, 0, 0, 0, 0, 101520000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92721600, 0, 0, 0, 0, 0, 352653218, 0, 0, 0, 0, 0, 385954012, 0, 0, 0, 0, 0, -55526968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1454443200, 0, 0, 0, 0, 0, 657292640, 0, 0, 0, 0, 0, 962685074, 0, 0, 0, 0, 0, -82925980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -58204800, 0, 0, 0, 0, 0, -1139054400, 0, 0, 0, 0, 0, -152656600, 0, 0, 0, 0, 0, -212424802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 653183182, 0, 0, 0, 0, 0, 183823260, 0, 0, 0, 0, 0, 174614400, 0, 0, 0, 0, 0, -173005514, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 210266296, 0, 0, 0, 0, 0, 218285942, 0, 0, 0, 0, 0, 1752235200, 0, 0, 0, 0, 0, -279075298, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 454809600, 0, 0, 0, 0, 0, 206185822, 0, 0, 0, 0, 0, 842875154, 0, 0, 0, 0, 0, 758016000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -175295734, 0, 0, 0, 0, 0, 837531158, 0, 0, 0, 0, 0, -108950954, 0, 0, 0, 0, 0, -815544000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 677279264, 0, 0, 0, 0, 0, 359061800, 0, 0, 0, 0, 0, 336255574, 0, 0, 0, 0, 0, -524293328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1421442842, 0, 0, 0, 0, 0, -973163860, 0, 0, 0, 0, 0, 765004640, 0, 0, 0, 0, 0, -116980046, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288600200, 0, 0, 0, 0, 0, 1394741042, 0, 0, 0, 0, 0, -559216306, 0, 0, 0, 0, 0, 725185534, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1215542038, 0, 0, 0, 0, 0, -336369600, 0, 0, 0, 0, 0, -149052986, 0, 0, 0, 0, 0, -1441351172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 266659200, 0, 0, 0, 0, 0, -646180378, 0, 0, 0, 0, 0, 67680000, 0, 0, 0, 0, 0, -287573998, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -558672296, 0, 0, 0, 0, 0, -357140242, 0, 0, 0, 0, 0, 541514366, 0, 0, 0, 0, 0, 415012214, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44141126, 0, 0, 0, 0, 0, 1176278400, 0, 0, 0, 0, 0, -522472006, 0, 0, 0, 0, 0, -72417600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 146323858, 0, 0, 0, 0, 0, -1071325138, 0, 0, 0, 0, 0, -226085726, 0, 0, 0, 0, 0, -267882454, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 59096834, 0, 0, 0, 0, 0, 1605370598, 0, 0, 0, 0, 0, -934660800, 0, 0, 0, 0, 0, -318857362, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -140097600, 0, 0, 0, 0, 0, -752110318, 0, 0, 0, 0, 0, 147076720, 0, 0, 0, 0, 0, -1113336000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -557006400, 0, 0, 0, 0, 0, 13192084, 0, 0, 0, 0, 0, -94190260, 0, 0, 0, 0, 0, 2209752000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -341573258, 0, 0, 0, 0, 0, 153419998, 0, 0, 0, 0, 0, -841470614, 0, 0, 0, 0, 0, -299303508, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "900.6.a.l", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-71, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [-137, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [-1087, 0], [0, 0], [0, 0], [0, 0], [0, 7], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -7], [0, 0], [-2269, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [6010, 0], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [-4283, 0], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [-11766, 0], [0, 0], [0, 0], [0, 0], [0, -43], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 50], [0, 0], [12719, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6899, 0], [0, 0], [0, 0], [0, 0], [0, -69], [0, 0], [24010, 0], [0, 0], [0, 0], [0, 0], [0, -71], [0, 0], [12236, 0], [0, 0], [0, 0], [0, 0], [0, 46], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -96], [0, 0], [9727, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [19651, 0], [0, 0], [0, 0], [0, 0]]}