# Stored data for newform 1728.4.a.v, downloaded from the LMFDB on 28 April 2024.
{"label": "1728.4.a.v", "space_label": "1728.4.a", "level": 1728, "weight": 4, "hecke_orbit": 22, "hecke_orbit_code": 94575592241891008, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2000324512609006972, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-3, 1]], [7, [-29, 1]], [11, [57, 1]]], "qexp_display": "q+3q^{5}+29q^{7}-57q^{11}-20q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 27648, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 101.95530048991978, "hecke_ring_index": 1, "level_radical": 6, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1728, 1, [703, 325, 1217], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.984", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.930", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.732", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1]], "trace_display": [0, 0, 3, 29], "traces": [0, 1, 0, 0, 0, 3, 0, 29, 0, 0, 0, -57, 0, -20, 0, 0, 0, 72, 0, 106, 0, 0, 0, -174, 0, -116, 0, 0, 0, -210, 0, 47, 0, 0, 0, 87, 0, -2, 0, 0, 0, 6, 0, -218, 0, 0, 0, -474, 0, 498, 0, 0, 0, 81, 0, -171, 0, 0, 0, 84, 0, -56, 0, 0, 0, -60, 0, 142, 0, 0, 0, -360, 0, -1159, 0, 0, 0, -1653, 0, -160, 0, 0, 0, 735, 0, 216, 0, 0, 0, 954, 0, -580, 0, 0, 0, 318, 0, 191, 0, 0, 0, -363, 0, -628, 0, 0, 0, 675, 0, -1730, 0, 0, 0, -1866, 0, -522, 0, 0, 0, 2088, 0, 1918, 0, 0, 0, -723, 0, 1379, 0, 0, 0, 579, 0, 3074, 0, 0, 0, -654, 0, 3004, 0, 0, 0, 1140, 0, -630, 0, 0, 0, 1803, 0, 2459, 0, 0, 0, 141, 0, 196, 0, 0, 0, -5046, 0, 1564, 0, 0, 0, -1974, 0, -1797, 0, 0, 0, -2217, 0, -3364, 0, 0, 0, -2475, 0, -1568, 0, 0, 0, -6, 0, -4104, 0, 0, 0, -1140, 0, 2045, 0, 0, 0, -3735, 0, 1163, 0, 0, 0, -6090, 0, 18, 0, 0, 0, -6042, 0, -2126, 0, 0, 0, -654, 0, 1363, 0, 0, 0, -1440, 0, -2752, 0, 0, 0, -3972, 0, -4502, 0, 0, 0, -4842, 0, -1422, 0, 0, 0, 5334, 0, -3994, 0, 0, 0, 1494, 0, -2120, 0, 0, 0, -1008, 0, 9918, 0, 0, 0, 924, 0, -58, 0, 0, 0, -1014, 0, 243, 0, 0, 0, -2970, 0, 245, 0, 0, 0, 6612, 0, -4376, 0, 0, 0, -240, 0, 6838, 0, 0, 0, 174, 0, 271, 0, 0, 0, -5118, 0, 252, 0, 0, 0, 3480, 0, -6322, 0, 0, 0, -168, 0, 5560, 0, 0, 0, -7662, 0, 3485, 0, 0, 0, -7059, 0, 11970, 0, 0, 0, 7632, 0, 2320, 0, 0, 0, -13746, 0, -9290, 0, 0, 0, 426, 0, -3814, 0, 0, 0, -2679, 0, 4495, 0, 0, 0, 1929, 0, 6586, 0, 0, 0, 6042, 0, -1080, 0, 0, 0, 3762, 0, 4377, 0, 0, 0, -3477, 0, -7261, 0, 0, 0, 2349, 0, -1640, 0, 0, 0, 4200, 0, 7396, 0, 0, 0, 4992, 0, -4959, 0, 0, 0, -9453, 0, -12528, 0, 0, 0, -480, 0, -8588, 0, 0, 0, 1716, 0, -940, 0, 0, 0, 114, 0, -9889, 0, 0, 0, 2436, 0, 2205, 0, 0, 0, 5556, 0, 2104, 0, 0, 0, -8352, 0, -1624, 0, 0, 0, -7614, 0, 7805, 0, 0, 0, -18444, 0, -5209, 0, 0, 0, 4236, 0, 2862, 0, 0, 0, 16002, 0, -342, 0, 0, 0, -1740, 0, 7319, 0, 0, 0, 9483, 0, 10793, 0, 0, 0, 2583, 0, 4118, 0, 0, 0, 12426, 0, -12296, 0, 0, 0, 1254, 0, 40, 0, 0, 0, 573, 0, 17336, 0, 0, 0, -15171, 0, -15120, 0, 0, 0, -10440, 0, -8930, 0, 0, 0, -15210, 0, -1089, 0, 0, 0, 19641, 0, -33611, 0, 0, 0, -1884, 0, 27018, 0, 0, 0, -22428, 0, 8152, 0, 0, 0, 3384, 0, 18109, 0, 0, 0, -120, 0, 2025, 0, 0, 0, -28386, 0, 2860, 0, 0, 0, -5190, 0, 9664, 0, 0, 0, -22260, 0, -4640, 0, 0, 0, 14859, 0, 4360, 0, 0, 0, 8193, 0, -5598, 0, 0, 0, 16572, 0, 6244, 0, 0, 0, 20184, 0, -14794, 0, 0, 0, 21315, 0, -4617, 0, 0, 0, -26769, 0, 4982, 0, 0, 0, 3078, 0, 6264, 0, 0, 0, -1002, 0, -20653, 0, 0, 0, 5754, 0, 27128, 0, 0, 0, 9480, 0, -24518, 0, 0, 0, 474, 0, 1132, 0, 0, 0, 27666, 0, 12331, 0, 0, 0, -144, 0, 6725, 0, 0, 0, 4137, 0, -9960, 0, 0, 0, 21126, 0, -19460, 0, 0, 0, 11664, 0, -4788, 0, 0, 0, -3345, 0, 1737, 0, 0, 0, 9393, 0, 1762, 0, 0, 0, 9222, 0, 36540, 0, 0, 0, 3192, 0, 25517, 0, 0, 0, 26898, 0, 5539, 0, 0, 0, 23940, 0, -1962, 0, 0, 0, -1620, 0, -23060, 0, 0, 0, 9012, 0, 432, 0, 0, 0, -14175, 0, -212, 0, 0, 0, -10527, 0, 8692, 0, 0, 0, -8178, 0, 3420, 0, 0, 0, 29556, 0, -18212, 0, 0, 0, 24360, 0, -36691, 0, 0, 0, -15696, 0, 19798, 0, 0, 0, -8094, 0, 21976, 0, 0, 0, 13236, 0, 5409, 0, 0, 0, 19575, 0, -6325, 0, 0, 0, 7377, 0, 3238, 0, 0, 0, 40416, 0, -50170, 0, 0, 0, -1680, 0, -4759, 0, 0, 0, 27414, 0, -5452, 0, 0, 0, 636, 0, 20520, 0, 0, 0, 588, 0, -6176, 0, 0, 0, -54114, 0, 1120, 0, 0, 0, 6879, 0, -34128, 0, 0, 0, 66063, 0, -15138, 0, 0, 0, 16902, 0, -24086, 0, 0, 0, 4692, 0, -23108, 0, 0, 0, 7854, 0, 5771, 0, 0, 0, -17568, 0, -31322, 0, 0, 0, 35856, 0, -5922, 0, 0, 0, -41856, 0, 19711, 0, 0, 0, -5391, 0, 55622, 0, 0, 0, 348, 0, -15662, 0, 0, 0, 39864, 0, 9160, 0, 0, 0, -5076, 0, -6651, 0, 0, 0, 9120, 0, -2840, 0, 0, 0, -20967, 0, -14978, 0, 0, 0, 22860, 0, 32506, 0, 0, 0, -35868, 0, 39991, 0, 0, 0, -50244, 0, -7425, 0, 0, 0, -9870, 0, 5832, 0, 0, 0, -4704, 0, 33586, 0, 0, 0, 28902, 0, -41895, 0, 0, 0, 16791, 0, 28271, 0, 0, 0, 7200, 0, 232, 0, 0, 0, -19140, 0, 52788, 0, 0, 0, -12312, 0, 31619, 0, 0, 0, -20913, 0, -1044, 0, 0, 0, 17529, 0, 23180, 0, 0, 0, 53604, 0, -3420, 0, 0, 0, -18966, 0, -27582, 0, 0, 0, 6135, 0, 11117, 0, 0, 0, -27297, 0, 87116, 0, 0, 0, -25086, 0, -54378, 0, 0, 0, 20982, 0, -11205, 0, 0, 0, 37932, 0, 11477, 0, 0, 0, 3489, 0, -8588, 0, 0, 0, 33060, 0, 6048, 0, 0, 0, 8586, 0, 21899, 0, 0, 0, -22686, 0, -18270, 0, 0, 0, -56091, 0, -55262, 0, 0, 0, -696, 0, 3200, 0, 0, 0, -39234, 0, -58534, 0, 0, 0, -4032, 0, -50605, 0, 0, 0, 52287, 0, -18126, 0, 0, 0, -39162, 0, -45470, 0, 0, 0, -6378, 0, 71311, 0, 0, 0, -32409, 0, 677, 0, 0, 0, -10887, 0, 24568, 0, 0, 0, 420, 0, 25288, 0, 0, 0, -14700, 0, 82476, 0, 0, 0, 4089, 0, 33563, 0, 0, 0, 16251, 0, -57854, 0, 0, 0, 16812, 0, 5684, 0, 0, 0, 28500, 0, -4320, 0, 0, 0, 52791, 0, 20691, 0, 0, 0, -8256, 0, 36826, 0, 0, 0, 8904, 0, -46496, 0, 0, 0, -86652, 0, -69397, 0, 0, 0, 35796, 0, -11916, 0, 0, 0, 10224, 0, 45356, 0, 0, 0, -13506, 0, -94, 0, 0, 0, 48834, 0, -23758, 0, 0, 0, -19080, 0, -5936, 0, 0, 0, 24765, 0, -14526, 0, 0, 0, -57246, 0, -7454, 0, 0, 0, 54984, 0, -38475, 0, 0, 0, 37599, 0, -52113, 0, 0, 0, 59508, 0, -1260, 0, 0, 0, -11100, 0, 16002, 0, 0, 0, 98610, 0, 67007, 0, 0, 0, -11982, 0, -25920, 0, 0, 0, -64293, 0, -23654, 0, 0, 0, -36564, 0, -14094, 0, 0, 0, 69156, 0, -57768, 0, 0, 0, -4569, 0, -3373, 0, 0, 0, -6360, 0, 30760, 0, 0, 0, -83448, 0, 106362, 0, 0, 0, 45780, 0, 8885, 0, 0, 0, -71775, 0, -3024, 0, 0, 0, -67707, 0, -3820, 0, 0, 0, 29754, 0, -45472, 0, 0, 0, 282, 0, 15052, 0, 0, 0, -27738, 0, 44660, 0, 0, 0, 61527, 0, 2772, 0, 0, 0, -86010, 0, -61472, 0, 0, 0, -174, 0, -29023, 0, 0, 0, 44526, 0, 7265, 0, 0, 0, 23001, 0, -119016, 0, 0, 0, 7260, 0, -3042, 0, 0, 0, 44808, 0, 46577, 0, 0, 0, -9396, 0, -18664, 0, 0, 0, -33459, 0, -10246, 0, 0, 0, -33060, 0, 12560, 0, 0, 0, -11520, 0, -8910, 0, 0, 0, -38160, 0, 59305, 0, 0, 0, 735, 0, -14616, 0, 0, 0, 83838, 0, 99540, 0, 0, 0, -91998, 0, -50649, 0, 0, 0, 30738, 0, 41211, 0, 0, 0, -108315, 0, 79522, 0, 0, 0, -13128, 0, -122854, 0, 0, 0, -13500, 0, 33727, 0, 0, 0, -78603, 0, 69356, 0, 0, 0, 9744, 0, -720, 0, 0, 0, -32376, 0, 52920, 0, 0, 0, 20514, 0, 34600, 0, 0, 0, -104580, 0, -50380, 0, 0, 0, 28227, 0, 73384, 0, 0, 0, -106872, 0, 522, 0, 0, 0, -42030, 0, -33003, 0, 0, 0, 813, 0, -80512, 0, 0, 0, -11892, 0, 78010, 0, 0, 0, -22278, 0, 21112, 0, 0, 0, -175218, 0, -15354, 0, 0, 0, 37320, 0, -1168, 0, 0, 0, -9744, 0, -61654, 0, 0, 0, 6036, 0, 51622, 0, 0, 0, 4908, 0, 20270, 0, 0, 0, -22230, 0, 10440, 0, 0, 0, -67371, 0, -16960, 0, 0, 0, -18966, 0, 37278, 0, 0, 0, 13284, 0, 68688, 0, 0, 0, -12, 0, 23406, 0, 0, 0, 51540, 0, 6496, 0, 0, 0, -171228, 0, 65230, 0, 0, 0, 16680, 0, -17010, 0, 0, 0, -24708, 0, 11117, 0, 0, 0, -41760, 0, -43688, 0, 0, 0, -480, 0, -22986, 0, 0, 0, -14244, 0, -79808, 0, 0, 0, 10455, 0, -27457, 0, 0, 0, 35211, 0, -38360, 0, 0, 0, 77910, 0, -45002, 0, 0, 0, 32364, 0, -21177, 0, 0, 0, -115188, 0, 436, 0, 0, 0, 35910, 0, 32380, 0, 0, 0, 57168, 0, -130558, 0, 0, 0, -34770, 0, 24329, 0, 0, 0, -52851, 0, 22896, 0, 0, 0, 34371, 0, -116804, 0, 0, 0, 14460, 0, -108056, 0, 0, 0, -140418, 0, 62640, 0, 0, 0, -43839, 0, -102771, 0, 0, 0, 3807, 0, -41238, 0, 0, 0, 13752, 0, -27580, 0, 0, 0, -27870, 0, 26057, 0, 0, 0, -140163, 0, 58349, 0, 0, 0, 60657, 0, 119698, 0, 0, 0, 154686, 0, -16472, 0, 0, 0, 201666, 0, -68885, 0, 0, 0, -11442, 0, -115826, 0, 0, 0, 101124, 0, 45736, 0, 0, 0, -103260, 0, 51892, 0, 0, 0, -11580, 0, -8037, 0, 0, 0, 93654, 0, -17640, 0, 0, 0, 13485, 0, -26136, 0, 0, 0, -10950, 0, -109964, 0, 0, 0, -11172, 0, -61480, 0, 0, 0, -118014, 0, 5787, 0, 0, 0, 948, 0, 36376, 0, 0, 0, 19758, 0, -2864, 0, 0, 0, -45216, 0, 22061, 0, 0, 0, -29232, 0, 21161, 0, 0, 0, -1308, 0, 18126, 0, 0, 0, 11760, 0, 287622, 0, 0, 0, 41760, 0, 5393, 0, 0, 0, 13080, 0, 37667, 0, 0, 0, -20409, 0, 83104, 0, 0, 0, -89148, 0, 11286, 0, 0, 0, 26796, 0, 120287, 0, 0, 0, 13131, 0, -60080, 0, 0, 0, 1788, 0, -996, 0, 0, 0, 27840, 0, 48600, 0, 0, 0, -62364, 0, 134444, 0, 0, 0, 3948, 0, 130295, 0, 0, 0, -21783, 0, 112518, 0, 0, 0, -29406, 0, 20246, 0, 0, 0, 116346, 0, -31983, 0, 0, 0, -124560, 0, 7047, 0, 0, 0, 102429, 0, -90074, 0, 0, 0, -4920, 0, -14438, 0, 0, 0, 35730, 0, -77893, 0, 0, 0, 86259, 0, 44984, 0, 0, 0, -86130, 0, 12600, 0, 0, 0, -78624, 0, -2632, 0, 0, 0, 22188, 0, 7105, 0, 0, 0, 51378, 0, 126369, 0, 0, 0, -1449, 0, -127890, 0, 0, 0, -67620, 0, 14976, 0, 0, 0, -38478, 0, -134352, 0, 0, 0, 191748, 0, -2844, 0, 0, 0, 89337, 0, -126470, 0, 0, 0, -36060, 0, -126904, 0, 0, 0, -29820, 0, -28359, 0, 0, 0, 93450, 0, 71579, 0, 0, 0, -37584, 0, -66568, 0, 0, 0, -162, 0, -49180, 0, 0, 0, -6960, 0, 141075, 0, 0, 0, -114447, 0, 18560, 0, 0, 0, 139203, 0, 198302, 0, 0, 0, -25764, 0, 99034, 0, 0, 0, 89376, 0, -57814, 0, 0, 0, -121149, 0, -93283, 0, 0, 0, -58857, 0, 5148, 0, 0, 0, 2988, 0, 57274, 0, 0, 0, -2820, 0, -42361, 0, 0, 0, 103332, 0, 7859, 0, 0, 0, 29220, 0, -149222, 0, 0, 0, 71550, 0, 342, 0, 0, 0, 79224, 0, -3920, 0, 0, 0, -29667, 0, -165996, 0, 0, 0, -148422, 0, -12152, 0, 0, 0, 138096, 0, 75600, 0, 0, 0, -94524, 0, 7308, 0, 0, 0, 69129, 0, -183380, 0, 0, 0, -85260, 0, 6674, 0, 0, 0, 81534, 0, -161372, 0, 0, 0, 76824, 0, 77978, 0, 0, 0, 100920, 0, 16668, 0, 0, 0, -40485, 0, 64980, 0, 0, 0, 6312, 0, -108564, 0, 0, 0, -116940, 0, -120526, 0, 0, 0, 243390, 0, -31280, 0, 0, 0, -116565, 0, -52056, 0, 0, 0, 30714, 0, 100276, 0, 0, 0, -4872, 0, -117187, 0, 0, 0, 102645, 0, -125575, 0, 0, 0, -197796, 0, 161240, 0, 0, 0, 117192, 0, -22842, 0, 0, 0, 99288, 0, -42145, 0, 0, 0, 23415, 0, 212895, 0, 0, 0, 39480, 0, 486, 0, 0, 0, -222198, 0, -68582, 0, 0, 0, -168, 0, -55332, 0, 0, 0, -66291, 0, 101065, 0, 0, 0, -15627, 0, 79880, 0, 0, 0, -16920, 0, -111080, 0, 0, 0, 49800, 0, 120853, 0, 0, 0, 27567, 0, 12708, 0, 0, 0, -204711, 0, -44930, 0, 0, 0, -110664, 0, 41688, 0, 0, 0, -33234, 0, 347130, 0, 0, 0, -183966, 0, -54133, 0, 0, 0, 4488, 0, 48006, 0, 0, 0, 44340, 0, -169400, 0, 0, 0, -1026, 0, 112, 0, 0, 0, 221328, 0, -54473, 0, 0, 0, -121365, 0, -42770, 0, 0, 0, 184110, 0, 67280, 0, 0, 0, -17658, 0, -133927, 0, 0, 0, 21957, 0, 70121, 0, 0, 0, 33600, 0, -126362, 0, 0, 0, -59568, 0, 203308, 0, 0, 0, -236052, 0, 28449, 0, 0, 0, 51861, 0, 81488, 0, 0, 0, 32379, 0, -269410, 0, 0, 0, 121182, 0, 63162, 0, 0, 0, 49500, 0, -47088, 0, 0, 0, 116097, 0, 7749, 0, 0, 0, 56196, 0, 2374, 0, 0, 0, 12354, 0, 59830, 0, 0, 0, 153138, 0, 31360, 0, 0, 0, -148914, 0, -110606, 0, 0, 0, 216288, 0, 37278, 0, 0, 0, 109272, 0, -75728, 0, 0, 0, -76638, 0, -45277, 0, 0, 0, 126714, 0, 114995, 0, 0, 0, -77691, 0, 216250, 0, 0, 0, 73134, 0, 3762, 0, 0, 0, -149322, 0, -40459, 0, 0, 0, 120, 0, -154350, 0, 0, 0, 224901, 0, 146174, 0, 0, 0, 22254, 0, 504, 0, 0, 0, -163878, 0, -22156, 0, 0, 0, 55941, 0, 82080, 0, 0, 0, 52008, 0, 117232, 0, 0, 0, 178176, 0, 190994, 0, 0, 0, 77940, 0, -7520, 0, 0, 0, 156864, 0, -45513, 0, 0, 0, 130173, 0, -117450, 0, 0, 0, -45360, 0, -61022, 0, 0, 0, 175218, 0, -115666, 0, 0, 0, -20154, 0, -284, 0, 0, 0, 22800, 0, -31320, 0, 0, 0, 61374, 0, -38394, 0, 0, 0, -26790, 0, 226404, 0, 0, 0, -336, 0, -92689, 0, 0, 0, 301020, 0, -40900, 0, 0, 0, 109098, 0, -45630, 0, 0, 0, 256614, 0, -20383, 0, 0, 0, 42108, 0, 126933, 0, 0, 0, 149271, 0, 129816, 0, 0, 0, -18312, 0, -179228, 0, 0, 0, -5322, 0, 58923, 0, 0, 0, -191919, 0, -87541, 0, 0, 0, -100833, 0, 118852, 0, 0, 0, 74700, 0, 275994, 0, 0, 0, 177048, 0, -210569, 0, 0, 0, 34545, 0, 72848, 0, 0, 0, -166704, 0, -200340, 0, 0, 0, 81054, 0, -23260, 0, 0, 0, -133650, 0, -93877, 0, 0, 0, 40338, 0, 324684, 0, 0, 0, -69324, 0, -67284, 0, 0, 0, 163854, 0, -47560, 0, 0, 0, 24456, 0, -10690, 0, 0, 0, 151827, 0, 12208, 0, 0, 0, 720, 0, -304038, 0, 0, 0, -36822, 0, 10152, 0, 0, 0, 121800, 0, 318424, 0, 0, 0, 54327, 0, 204176, 0, 0, 0, 227658, 0, 214484, 0, 0, 0, 204744, 0, -35660, 0, 0, 0, 14382, 0, -360, 0, 0, 0, 14112, 0, -156652, 0, 0, 0, -78300, 0, -87716, 0, 0, 0, 144768, 0, 21922, 0, 0, 0, -255036, 0, 130385, 0, 0, 0, -212502, 0, -85158, 0, 0, 0, 177876, 0, 2318, 0, 0, 0, 8580, 0, 124954, 0, 0, 0, -254364, 0, 162830, 0, 0, 0, 120840, 0, -250504, 0, 0, 0, -274137, 0, 200680, 0, 0, 0, -221730, 0, 11698, 0, 0, 0, 28992, 0, -363312, 0, 0, 0, -173697, 0, 42520, 0, 0, 0, 852, 0, 15100, 0, 0, 0, 149418, 0, -66780, 0, 0, 0, 44838, 0, 57456, 0, 0, 0, -13920, 0, -15424, 0, 0, 0, 112608, 0, -39816, 0, 0, 0, 222360, 0, -249052, 0, 0, 0, -333732, 0, 44577, 0, 0, 0, -178803, 0, -187945, 0, 0, 0, 13080, 0, 100654, 0, 0, 0, -46860, 0, 28492, 0, 0, 0, 49764, 0, -142316, 0, 0, 0, -40110, 0, 24579, 0, 0, 0, -116535, 0, -27260, 0, 0, 0, 216456, 0, -52668, 0, 0, 0, 191118, 0, -253177, 0, 0, 0, 57975, 0, -142128, 0, 0, 0, -65565, 0, 49716, 0, 0, 0, 3306, 0, -242948, 0, 0, 0, 18732, 0, 200873, 0, 0, 0, 295569, 0, -286781, 0, 0, 0, 26544, 0, 260654, 0, 0, 0, -129384, 0, 125802, 0, 0, 0, -254430, 0, -30956, 0, 0, 0, -44382, 0, 211088, 0, 0, 0, 41832, 0, 57798, 0, 0, 0, -144090, 0, 55040, 0, 0, 0, 46122, 0, 63945, 0, 0, 0, 249414, 0, -2160, 0, 0, 0, -13851, 0, -193538, 0, 0, 0, -239946, 0, 320, 0, 0, 0, 81084, 0, 76230, 0, 0, 0, 161124, 0, -80307, 0, 0, 0, -88629, 0, -159624, 0, 0, 0, 14946, 0, 61016, 0, 0, 0, 79440, 0, 173477, 0, 0, 0, -143727, 0, 169290, 0, 0, 0, -45885, 0, 9234, 0, 0, 0, -182358, 0, 94120, 0, 0, 0, -242208, 0, 90040, 0, 0, 0, -13965, 0, 20776, 0, 0, 0, 131880, 0, -27888, 0, 0, 0, -6954, 0, -3006, 0, 0, 0, -5460, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "54.4.a.b", "char_is_minimal": false, "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], [1], [0], [0], [0], [3], [0], [29], [0], [0], [0], [-57], [0], [-20], [0], [0], [0], [72], [0], [106], [0], [0], [0], [-174], [0], [-116], [0], [0], [0], [-210], [0], [47], [0], [0], [0], [87], [0], [-2], [0], [0], [0], [6], [0], [-218], [0], [0], [0], [-474], [0], [498], [0], [0], [0], [81], [0], [-171], [0], [0], [0], [84], [0], [-56], [0], [0], [0], [-60], [0], [142], [0], [0], [0], [-360], [0], [-1159], [0], [0], [0], [-1653], [0], [-160], [0], [0], [0], [735], [0], [216], [0], [0], [0], [954], [0], [-580], [0], [0], [0], [318], [0], [191], [0], [0], [0]]}