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mf_newforms • Show schema
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{'Nk2': 1984, 'analytic_conductor': 7.316236840711836, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [124, 3, [63, 65], [3, 2]], 'cm_discs': [], 'conrey_index': 5, 'conrey_indexes': [5, 25], 'dim': 6, 'field_disc': -250722553392, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [24091, 2]], 'field_poly': [144, -552, 2116, -24, 46, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [9801, 1881, 1252, 27, 100, 9, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874572386428, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '124.4.e.b', 'level': 124, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 31], 'level_radical': 62, 'minimal_twist': '124.4.e.b', 'nf_label': '6.0.250722553392.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-3-\\beta _{1}-\\beta _{2}+3\\beta _{3})q^{3}+(2\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '124.4.e', 'trace_display': [0, -9, -3, 45], 'trace_hash': 1907745050349185112, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.915', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '140.544', 'prec': 24}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-3, -1, -1, 3, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [15, -1, -1, -15, 0, 0], [0, 0, 0, 0, 0, 0], [0, 6, 0, -13, 1, -1], [0, 0, 0, 0, 0, 0], [0, -5, 0, 20, 1, -1], [0, 0, 0, 0, 0, 0], [0, 4, 0, 38, -1, 1], [0, 0, 0, 0, 0, 0], [65, 0, 7, 0, -2, 0], [0, 0, 0, 0, 0, 0], [42, -2, -2, -42, 0, -3], [0, 0, 0, 0, 0, 0], [23, 3, 3, -23, 0, -6], [0, 0, 0, 0, 0, 0], [0, -12, 0, 14, 1, -1], [0, 0, 0, 0, 0, 0], [14, 0, -4, 0, 6, 0], [0, 0, 0, 0, 0, 0], [0, -4, -4, 0, 0, 4], [0, 0, 0, 0, 0, 0], [156, 0, 19, 0, -9, 0], [0, 0, 0, 0, 0, 0], [55, 0, -18, 0, 1, 0], [0, 0, 0, 0, 0, 0], [-134, 6, 5, 43, 6, -5], [0, 0, 0, 0, 0, 0], [-203, 0, -20, 0, 2, 0], [0, 0, 0, 0, 0, 0], [47, 0, -29, 0, -2, 0], [0, 0, 0, 0, 0, 0], [41, 58, 58, -41, 0, 6], [0, 0, 0, 0, 0, 0], [-2, 0, -41, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 14, 0, -236, -1, 1], [0, 0, 0, 0, 0, 0], [35, 47, 47, -35, 0, 2], [0, 0, 0, 0, 0, 0], [-409, -62, -62, 409, 0, 13], [0, 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0], [2340, 2271, 2271, -2340, 0, 541], [-4717, 1719, 1719, 4717, 0, -432], [0, -2290, 0, -7285, 276, -276], [0, -397, 0, -10134, 239, -239], [-7912, 0, -3480, 0, -552, 0], [-1238, -2645, -2645, 1238, 0, -549], [0, -2598, 0, 1953, 922, -922], [-404, -1634, -1634, 404, 0, 283], [-1212, 394, 394, 1212, 0, -621], [-4484, 0, 676, 0, -18, 0], [-582, 4451, 4451, 582, 0, 617], [0, 1884, 0, 20844, -819, 819], [14217, -712, -712, -14217, 0, -36], [0, 3379, 0, 12548, -415, 415], [-9527, 0, 382, 0, -269, 0], [3000, 5339, 5339, -3000, 0, -87], [0, -1725, 0, -2136, 625, -625], [-6959, 0, -5414, 0, -705, 0], [21744, 0, -3408, 0, 72, 0], [-2151, 0, 518, 0, -757, 0], [0, 1102, 0, 12210, -99, 99], [0, 2771, 0, -701, -920, 920], [0, -61, 0, -9635, -664, 664], [0, -2168, 0, 19494, -901, 901], [0, 540, 0, -14361, -22, 22], [2879, 0, 2364, 0, -441, 0], [21751, -881, -881, -21751, 0, -424], [-2104, 0, -1416, 0, 220, 0], [9973, -3817, -3817, -9973, 0, -406], [0, -3321, 0, -2431, 104, -104], [-13291, 0, 1542, 0, 815, 0], [10093, 4072, 4072, -10093, 0, 1224], [0, -2354, 0, -22883, -706, 706], [13478, -4965, -4965, -13478, 0, -151], [6451, 0, -210, 0, 861, 0], [-15293, -625, -625, 15293, 0, -1172], [0, -2813, 0, -825, 344, -344], [-9597, 0, -4750, 0, -207, 0], [0, -261, 0, 11460, 7, -7], [8365, 0, -2280, 0, 937, 0], [0, 3822, 0, -3711, 710, -710]], 'char_orbit_index': 5, 'field_poly': [144, -552, 2116, -24, 46, 0, 1], 'hecke_orbit_code': 4503874572386428, 'hecke_ring_character_values': [[63, [1, 0, 0, 0, 0, 0]], [65, [0, 0, 0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 46, 552, 46, 552], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-31, 0, 0, 31, 0, 1], [12, 0, 46, 0, 0, 0], [0, 12, 0, -1426, 46, -46], [-924, -2116, -2116, 924, 0, 12]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-12, 0, 0, 1, 0, 0], [0, 2116, -12, 46, 0, 1], [1426, -12, 46, 0, 1, 0], [17112, -65596, 924, -1426, 0, -31]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '124.4.e.b', 'level': 124, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 1984, 'analytic_conductor': 7.316236840711836, 'char_conductor': 31, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [124, 3, [63, 65], [3, 2]], 'conrey_index': 5, 'cusp_dim': 90, 'dim': 16, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 274945015932, 'hecke_orbit_dims': [2, 6, 8], 'label': '124.4.e', 'level': 124, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 31], 'level_radical': 62, 'mf_dim': 102, 'mf_new_dim': 16, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 64, 'trace_bound': 1, 'trace_display': [0, -4, -4, -16], 'traces': [16, 0, -4, 0, -4, 0, -16, 0, -40, 0, 32, 0, 32, 0, 232, 0, 64, 0, 152, 0, 112, 0, -312, 0, -144, 0, 776, 0, -280, 0, -264, 0, -120, 0, 0, 0, 280, 0, -416, 0, -196, 0, 212, 0, -720, 0, 136, 0, -240, 0, 316, 0, -188, 0, -64, 0, 420, 0, -168, 0, -768, 0, -1936, 0, 748, 0, -280, 0, 1476, 0, 352, 0, 844, 0, -912, 0, -1352, 0, 284, 0, -1648, 0, 2172, 0, -3704, 0, 660, 0, -1136, 0, 200, 0, 564, 0, 2800, 0, 2568, 0, 3320, 0, 368, 0, 1732, 0, 724, 0, 368, 0, -240, 0, 3120, 0, -3204, 0, 1596, 0, -680, 0, -2808, 0, 0, 0, -416, 0, -4104, 0, -1168, 0, 4112, 0, 956, 0, 972, 0, -2372, 0, -2404, 0, 88, 0, 4460, 0, -68, 0, 5364, 0, -13040, 0, 416, 0, -560, 0, -6608, 0, -6284, 0, 13864, 0, 11416, 0, 5756, 0, 5584, 0, 9304, 0, 3840, 0, -6184, 0, -18672, 0, -1016, 0, -7664, 0, -5052, 0, -7048, 0, -3684, 0, -1200, 0, -19400, 0, -9456, 0, -872, 0, 8700, 0, 9020, 0, 4064, 0, -532, 0, -7800, 0, -4712, 0, 13060, 0, -7960, 0, 16232, 0, -2672, 0, 8028, 0, 10464, 0, -3784, 0, -23596, 0, 22912, 0, 27152, 0, 7532, 0, 13952, 0, 5664, 0, 3696, 0, -14804, 0, -15008, 0, 9292, 0, -11164, 0, -6464, 0, -4340, 0, -15280, 0, 1256, 0, -20664, 0, -31616, 0, -5352, 0, 11516, 0, 16556, 0, 12276, 0, 5916, 0, -6968, 0, -9176, 0, 21392, 0, 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121968, 0, 9360, 0, -19072, 0, 86672, 0, 16592, 0, 11436, 0, -30084, 0, 57024, 0, 171368, 0, -7456, 0, -70024, 0, 52044, 0, -56716, 0, 25492, 0, 30112, 0, -129376, 0, -14988, 0, 51560, 0, 11264, 0, 50236, 0, 78208, 0, 3408, 0, -16000, 0, 20056, 0, 23208, 0, -8352, 0, -116464, 0, -15668, 0, 134000, 0, -3304, 0, 53504, 0, -39048, 0, 157920, 0, 132440, 0, -123568, 0, 16336, 0, 25288, 0, -74684, 0, -213312, 0, -83232, 0, -55760, 0, 40504, 0, -78876, 0, 3840, 0, 8304, 0, -107144, 0, 16480, 0, -109560, 0, -87304, 0, 10732, 0, -51304, 0, -16816, 0, 23492, 0, -89096, 0, -11280, 0, -3260, 0, 60232, 0, -186768, 0, 85436, 0, -85656, 0, -3960, 0, -70688, 0, -46736, 0, -176912, 0, -58104, 0, 303448, 0, -30484, 0, 11108, 0, 29264, 0, 121368, 0, 62920, 0, 81904, 0, -50340, 0, 43656, 0, 60900, 0, 58900, 0, 113024, 0, 52640, 0, 104104, 0, 16172, 0, 67752, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 106430
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '124.4.e.b', 'source_level': 124, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '124.4.e.b', 'target_level': 124, 'twist_class_label': '124.4.e.b', 'twist_class_level': 124, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 106431
{'conductor': 31, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '124.4.e.b', 'source_level': 124, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '124.4.e.b', 'target_level': 124, 'twist_class_label': '124.4.e.b', 'twist_class_level': 124, 'twisting_char_label': '31.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 106432
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '124.4.e.b', 'source_level': 124, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '496.4.i.b', 'target_level': 496, 'twist_class_label': '124.4.e.b', 'twist_class_level': 124, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 106433
{'conductor': 124, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '124.4.e.b', 'source_level': 124, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '496.4.i.b', 'target_level': 496, 'twist_class_label': '124.4.e.b', 'twist_class_level': 124, 'twisting_char_label': '124.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 106434
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '124.4.e.b', 'source_level': 124, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1116.4.i.d', 'target_level': 1116, 'twist_class_label': '124.4.e.b', 'twist_class_level': 124, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 106435
{'conductor': 93, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '124.4.e.b', 'source_level': 124, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1116.4.i.d', 'target_level': 1116, 'twist_class_label': '124.4.e.b', 'twist_class_level': 124, 'twisting_char_label': '93.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 347325
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503874572386428, 'p': 2}
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id: 347326
{'charpoly_factorization': [[[9801, 1881, 1252, 27, 100, 9, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 3}
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id: 347327
{'charpoly_factorization': [[[7569, 15747, 33022, -369, 190, 3, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 5}
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id: 347328
{'charpoly_factorization': [[[7144929, -1681317, 275356, -22959, 1396, -45, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 7}
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id: 347329
{'charpoly_factorization': [[[2460060801, -21575565, 3214764, -72663, 4156, -61, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 11}
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id: 347330
{'charpoly_factorization': [[[292512609, -50607777, 6823042, -300161, 9810, -113, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 13}
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id: 347331
{'charpoly_factorization': [[[139818409929, -476003979, 47613058, -591267, 16402, -123, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 17}
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id: 347332
{'charpoly_factorization': [[[3749757272041, -48664397199, 753562188, -2289605, 29100, -63, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 19}
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id: 347333
{'charpoly_factorization': [[[-882816, -26224, -48, 1], 2]], 'hecke_orbit_code': 4503874572386428, 'p': 23}
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id: 347334
{'charpoly_factorization': [[[1260064, -7072, -166, 1], 2]], 'hecke_orbit_code': 4503874572386428, 'p': 29}
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id: 347335
{'charpoly_factorization': [[[26439622160671, 592852458908, 6072150575, 40830968, 203825, 668, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 31}
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id: 347336
{'charpoly_factorization': [[[935157255676281, -4955880642801, 30208631710, -40254813, 178702, -129, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 37}
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id: 347337
{'charpoly_factorization': [[[116486668824201, 1708980006357, 17420340258, 90679389, 344338, 709, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 41}
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id: 347338
{'charpoly_factorization': [[[70307168493969, -815309349195, 10351833484, -6365729, 108684, -107, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 43}
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id: 347339
{'charpoly_factorization': [[[407104, -26896, 284, 1], 2]], 'hecke_orbit_code': 4503874572386428, 'p': 47}
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id: 347340
{'charpoly_factorization': [[[4394699931556089, 34158619771443, 181511564130, 520263291, 1090018, 1267, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 53}
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id: 347341
{'charpoly_factorization': [[[362920445321841, -3930588429075, 61410921444, 242156367, 771796, 989, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 59}
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id: 347342
{'charpoly_factorization': [[[59458752, 491664, 1250, 1], 2]], 'hecke_orbit_code': 4503874572386428, 'p': 61}
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id: 347343
{'charpoly_factorization': [[[144877789637361, -1802047442085, 31333641804, 86865777, 698796, -741, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 67}
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id: 347344
{'charpoly_factorization': [[[285631315862647689, 233635245833385, 773114954188, 592827939, 1623076, 1089, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 71}
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id: 347345
{'charpoly_factorization': [[[18301484407114441, -77874429314539, 304711814018, -383967235, 614450, 197, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 73}
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id: 347346
{'charpoly_factorization': [[[533707532656321, 831237055891, 16934761508, -70563359, 422348, -677, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 79}
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id: 347347
{'charpoly_factorization': [[[66843909401855881, -268402420180849, 1077991125212, -516045643, 1038140, -1, 1], 1]], 'hecke_orbit_code': 4503874572386428, 'p': 83}
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id: 347348
{'charpoly_factorization': [[[-230488416, -811584, 282, 1], 2]], 'hecke_orbit_code': 4503874572386428, 'p': 89}
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id: 347349
{'charpoly_factorization': [[[-1795008, 28240, 1046, 1], 2]], 'hecke_orbit_code': 4503874572386428, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '124.4.e.b', 'level': 124, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 85978000
{'hecke_orbit_code': 4503874572386428, 'n': 1, 'trace_an': 6}
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id: 85978001
{'hecke_orbit_code': 4503874572386428, 'n': 2, 'trace_an': 0}
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id: 85978002
{'hecke_orbit_code': 4503874572386428, 'n': 3, 'trace_an': -9}
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id: 85978003
{'hecke_orbit_code': 4503874572386428, 'n': 4, 'trace_an': 0}
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id: 85978004
{'hecke_orbit_code': 4503874572386428, 'n': 5, 'trace_an': -3}
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id: 85978005
{'hecke_orbit_code': 4503874572386428, 'n': 6, 'trace_an': 0}
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id: 85978006
{'hecke_orbit_code': 4503874572386428, 'n': 7, 'trace_an': 45}
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id: 85978007
{'hecke_orbit_code': 4503874572386428, 'n': 8, 'trace_an': 0}
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id: 85978008
{'hecke_orbit_code': 4503874572386428, 'n': 9, 'trace_an': -38}
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id: 85978009
{'hecke_orbit_code': 4503874572386428, 'n': 10, 'trace_an': 0}
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id: 85978010
{'hecke_orbit_code': 4503874572386428, 'n': 11, 'trace_an': 61}
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id: 85978011
{'hecke_orbit_code': 4503874572386428, 'n': 12, 'trace_an': 0}
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id: 85978012
{'hecke_orbit_code': 4503874572386428, 'n': 13, 'trace_an': 113}
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id: 85978013
{'hecke_orbit_code': 4503874572386428, 'n': 14, 'trace_an': 0}
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id: 85978014
{'hecke_orbit_code': 4503874572386428, 'n': 15, 'trace_an': 386}
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id: 85978015
{'hecke_orbit_code': 4503874572386428, 'n': 16, 'trace_an': 0}
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id: 85978016
{'hecke_orbit_code': 4503874572386428, 'n': 17, 'trace_an': 123}
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id: 85978017
{'hecke_orbit_code': 4503874572386428, 'n': 18, 'trace_an': 0}
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id: 85978018
{'hecke_orbit_code': 4503874572386428, 'n': 19, 'trace_an': 63}
-
id: 85978019
{'hecke_orbit_code': 4503874572386428, 'n': 20, 'trace_an': 0}
-
id: 85978020
{'hecke_orbit_code': 4503874572386428, 'n': 21, 'trace_an': 43}
-
id: 85978021
{'hecke_orbit_code': 4503874572386428, 'n': 22, 'trace_an': 0}
-
id: 85978022
{'hecke_orbit_code': 4503874572386428, 'n': 23, 'trace_an': 96}
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id: 85978023
{'hecke_orbit_code': 4503874572386428, 'n': 24, 'trace_an': 0}
-
id: 85978024
{'hecke_orbit_code': 4503874572386428, 'n': 25, 'trace_an': 4}
-
id: 85978025
{'hecke_orbit_code': 4503874572386428, 'n': 26, 'trace_an': 0}
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id: 85978026
{'hecke_orbit_code': 4503874572386428, 'n': 27, 'trace_an': 918}
-
id: 85978027
{'hecke_orbit_code': 4503874572386428, 'n': 28, 'trace_an': 0}
-
id: 85978028
{'hecke_orbit_code': 4503874572386428, 'n': 29, 'trace_an': 332}
-
id: 85978029
{'hecke_orbit_code': 4503874572386428, 'n': 30, 'trace_an': 0}
-
id: 85978030
{'hecke_orbit_code': 4503874572386428, 'n': 31, 'trace_an': -668}
-
id: 85978031
{'hecke_orbit_code': 4503874572386428, 'n': 32, 'trace_an': 0}
-
id: 85978032
{'hecke_orbit_code': 4503874572386428, 'n': 33, 'trace_an': -1214}
-
id: 85978033
{'hecke_orbit_code': 4503874572386428, 'n': 34, 'trace_an': 0}
-
id: 85978034
{'hecke_orbit_code': 4503874572386428, 'n': 35, 'trace_an': 278}
-
id: 85978035
{'hecke_orbit_code': 4503874572386428, 'n': 36, 'trace_an': 0}
-
id: 85978036
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