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{'Nk2': 24108, 'analytic_conductor': 48.12583729822569, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, -1], [41, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6027, 1, [4019, 493, 2794], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 13, 'field_disc': 26551546727262511553064, 'field_disc_factorization': [[2, 3], [3, 4], [1663, 1], [201547, 1], [284041, 1], [430393, 1]], 'field_poly': [-4, -12, 69, 84, -311, -174, 478, 50, -263, 26, 56, -11, -4, 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': [[2, [4, -12, -69, 84, 311, -174, -478, 50, 263, 26, -56, -11, 4, 1]], [5, [-438, 82, 5001, 1717, -9154, -2511, 5759, 980, -1489, -85, 177, -8, -8, 1]], [13, [-2025, 31617, -70137, -384480, -412788, -78601, 86349, 26659, -9174, -2063, 615, 29, -16, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618787736786827, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6027.2.a.bh', 'level': 6027, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 41], 'level_radical': 861, 'minimal_twist': '861.2.i.f', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(1-\\beta _{8}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 13, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6027.2.a', 'trace_display': [-4, -13, 8, 0], 'trace_hash': 2160157184361306952, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.079', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.879', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6.468', 'prec': 17}, {'__RealLiteral__': 0, 'data': '416.886', 'prec': 24}, {'__RealLiteral__': 0, 'data': '543.716', 'prec': 24}, {'__RealLiteral__': 0, 'data': '23239.855', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [13, -4, -13, 12, 8, 4, 0, -12, 13, 1, -10, -12, 16, 0, -8, 26, 12, -4, 11, 6, 0, 1, -15, 12, 15, 18, -13, 0, -8, -1, 9, -23, 10, -7, 0, 12, -2, 20, -16, 49, -13, 0, -7, -22, 8, -4, 26, -26, 0, -15, -12, 24, 4, 4, 1, 0, -11, 39, -3, -6, 28, 7, 0, 2, -20, -1, 7, 55, 15, 0, -40, -12, -2, 1, -15, -26, 0, -18, 13, 22, 13, 4, 14, 0, 48, -49, 8, 20, 35, 1, 0, -105, -9, -2, 7, 23, 64, 0, -10, 83, 27, 7, 36, -70, 0, -50, -22, -12, 9, 20, 2, 0, -32, -20, -5, 47, 16, -47, 0, -49, 13, 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{'AL_dims': [[[[3, -1], [7, -1], [41, -1]], 39, 10], [[[3, 1], [7, -1], [41, -1]], 31, 7], [[[3, 1], [7, -1], [41, 1]], 37, 8], [[[3, 1], [7, 1], [41, 1]], 30, 4], [[[3, -1], [7, -1], [41, 1]], 33, 5], [[[3, -1], [7, 1], [41, -1]], 29, 2], [[[3, -1], [7, 1], [41, 1]], 37, 3], [[[3, 1], [7, 1], [41, -1]], 38, 2]], 'ALdims': [30, 38, 37, 31, 37, 29, 33, 39], 'Nk2': 24108, 'analytic_conductor': 48.12583729822569, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6027, 1, [4019, 493, 2794], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 769, 'dim': 274, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33560459, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 7, 8, 8, 8, 8, 10, 10, 12, 12, 13, 13, 14, 14, 16, 16, 24, 24], 'label': '6027.2.a', 'level': 6027, 'level_is_prime': False, 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mf_twists_cc • Show schema
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id: 48807577
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 11, 'source_hecke_orbit_code': 148618787736786827, 'source_is_minimal': False, 'source_label': '6027.2.a.bh.1.11', 'source_level': 6027, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 11, 'target_hecke_orbit_code': 148618787736786827, 'target_is_minimal': False, 'target_label': '6027.2.a.bh.1.11', 'target_level': 6027, 'twist_class_label': '861.2.i.f.247.3', 'twist_class_level': 861, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48807578
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 11, 'source_hecke_orbit_code': 148618787736786827, 'source_is_minimal': False, 'source_label': '6027.2.a.bh.1.11', 'source_level': 6027, 'target_conrey_index': 247, 'target_dim': 26, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926221661, 'target_is_minimal': True, 'target_label': '861.2.i.f.247.3', 'target_level': 861, 'twist_class_label': '861.2.i.f.247.3', 'twist_class_level': 861, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48807579
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 11, 'source_hecke_orbit_code': 148618787736786827, 'source_is_minimal': False, 'source_label': '6027.2.a.bh.1.11', 'source_level': 6027, 'target_conrey_index': 739, 'target_dim': 26, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518547926221661, 'target_is_minimal': True, 'target_label': '861.2.i.f.739.3', 'target_level': 861, 'twist_class_label': '861.2.i.f.247.3', 'twist_class_level': 861, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48807580
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 11, 'source_hecke_orbit_code': 148618787736786827, 'source_is_minimal': False, 'source_label': '6027.2.a.bh.1.11', 'source_level': 6027, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 11, 'target_hecke_orbit_code': 153122387364157323, 'target_is_minimal': False, 'target_label': '6027.2.a.bi.1.11', 'target_level': 6027, 'twist_class_label': '861.2.i.f.247.3', 'twist_class_level': 861, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4067900
{'charpoly_factorization': [[[4, -12, -69, 84, 311, -174, -478, 50, 263, 26, -56, -11, 4, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 2}
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id: 4067901
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 148618787736786827, 'p': 3}
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id: 4067902
{'charpoly_factorization': [[[-438, 82, 5001, 1717, -9154, -2511, 5759, 980, -1489, -85, 177, -8, -8, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 5}
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id: 4067903
{'charpoly_factorization': [[[0, 1], 13]], 'hecke_orbit_code': 148618787736786827, 'p': 7}
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id: 4067904
{'charpoly_factorization': [[[-16326, -303090, -212583, 338097, 204949, -117766, -66862, 14083, 9234, -291, -519, -28, 10, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 11}
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id: 4067905
{'charpoly_factorization': [[[-2025, 31617, -70137, -384480, -412788, -78601, 86349, 26659, -9174, -2063, 615, 29, -16, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 13}
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id: 4067906
{'charpoly_factorization': [[[657072, -8665272, 10485909, 4750299, -4168100, -729448, 604190, 33277, -39314, 561, 1145, -65, -12, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 17}
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id: 4067907
{'charpoly_factorization': [[[5007501, -39070026, 25172370, 11711250, -7465113, -1102926, 839766, 27363, -45257, 1328, 1158, -78, -11, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 19}
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id: 4067908
{'charpoly_factorization': [[[-2755350, 13787172, 13201887, -9720510, -13988082, -3929366, 793228, 578476, 76486, -7151, -2265, -74, 15, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 23}
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id: 4067909
{'charpoly_factorization': [[[-188753976, -907888032, -706607625, 141310864, 178612734, 11723637, -9699007, -1033327, 216922, 25911, -2172, -269, 8, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 29}
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id: 4067910
{'charpoly_factorization': [[[2755215, 26225082, 63828633, 5022778, -29950427, 2187049, 2820182, -286842, -103571, 11485, 1623, -183, -9, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 31}
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id: 4067911
{'charpoly_factorization': [[[-4739247, 2575764, 12997024, -10145972, -6186022, 6162296, 122962, -711012, 11389, 21458, -310, -249, 2, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 37}
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id: 4067912
{'charpoly_factorization': [[[1, 1], 13]], 'hecke_orbit_code': 148618787736786827, 'p': 41}
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id: 4067913
{'charpoly_factorization': [[[-2098432440, -4951740924, 5286006384, -1105204693, -273259539, 105346041, 2106560, -3277596, 84717, 47866, -1547, -345, 7, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 43}
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id: 4067914
{'charpoly_factorization': [[[-6292135854, -26059694508, 9964090377, 2816965366, -976684407, -116914954, 37699047, 2081789, -718785, -10385, 6835, -107, -26, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 47}
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id: 4067915
{'charpoly_factorization': [[[172955736, 857476152, 514040643, -227532054, -101325660, 26502954, 6268418, -1431656, -145081, 33006, 1326, -316, -4, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 53}
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id: 4067916
{'charpoly_factorization': [[[-62082528, -301556832, 396152031, -43781503, -64095115, 14784561, 2992704, -978700, -36819, 23902, -133, -251, 3, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 59}
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id: 4067917
{'charpoly_factorization': [[[-14237334360, 9489903624, 2553239493, -3651765076, 878014277, 96873096, -78700137, 13065144, -494523, -90770, 9932, -82, -28, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 61}
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id: 4067918
{'charpoly_factorization': [[[-595976103, 2210725062, -2576483703, 1232748640, -184122609, -41446941, 15441226, -396450, -329785, 26531, 2687, -299, -7, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 67}
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id: 4067919
{'charpoly_factorization': [[[-7925020020, -14718560868, -9712310331, -2055606942, 574671090, 394552118, 76871513, 3159473, -1058961, -171214, -7531, 328, 40, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 71}
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id: 4067920
{'charpoly_factorization': [[[-1188570609, -3107168190, -1488445979, 694377458, 559906966, 50331917, -24459420, -3730805, 334970, 66894, -1604, -449, 2, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 73}
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id: 4067921
{'charpoly_factorization': [[[-56835, 466853, 4042304, 5830068, -1083215, -3434147, 839530, 371337, -130674, 2325, 2519, -159, -13, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 79}
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id: 4067922
{'charpoly_factorization': [[[-953334, 4290252, 21043109, -102028748, 136826580, -72792272, 12938668, 1106998, -521777, 18858, 5314, -334, -14, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 83}
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id: 4067923
{'charpoly_factorization': [[[-69854349618, -95936569218, -13159835899, 18280456269, 1206235695, -1376683238, 91028991, 21060989, -2265768, -86869, 15999, -138, -35, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 89}
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id: 4067924
{'charpoly_factorization': [[[84516900, 510083808, -246253701, -1399534633, -130035160, 229931571, -22623151, -7010298, 1471471, -38305, -13279, 1504, -64, 1], 1]], 'hecke_orbit_code': 148618787736786827, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 34, 'label': '6027.2.a.bh', 'level': 6027, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 268703000
{'hecke_orbit_code': 148618787736786827, 'n': 1, 'trace_an': 13}
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id: 268703001
{'hecke_orbit_code': 148618787736786827, 'n': 2, 'trace_an': -4}
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id: 268703002
{'hecke_orbit_code': 148618787736786827, 'n': 3, 'trace_an': -13}
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id: 268703003
{'hecke_orbit_code': 148618787736786827, 'n': 4, 'trace_an': 12}
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id: 268703004
{'hecke_orbit_code': 148618787736786827, 'n': 5, 'trace_an': 8}
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id: 268703005
{'hecke_orbit_code': 148618787736786827, 'n': 6, 'trace_an': 4}
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id: 268703006
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