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mf_newforms • Show schema
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{'Nk2': 416, 'analytic_conductor': 0.830444181021316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [104, 2, [79, 53, 41], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 53, 'dim': 6, 'field_disc': -399424, 'field_disc_factorization': [[-1, 1], [2, 6], [79, 2]], 'field_poly': [8, -8, 6, -6, 3, -2, 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, [1, 0, 47, 0, 15, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268007772264, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '104.2.b.c', 'level': 104, '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, 13], 'level_radical': 26, 'minimal_twist': '104.2.b.c', 'nf_label': '6.0.399424.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{1}q^{2}+(-\\beta _{1}+\\beta _{5})q^{3}+(\\beta _{2}-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '104.2.b', 'trace_display': [-2, 0, 0, 2], 'trace_hash': 1868066137446784029, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.636', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.443', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 416, 'analytic_conductor': 0.830444181021316, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [104, 2, [79, 53, 41], [2, 1, 2]], 'conrey_index': 53, 'cusp_dim': 12, 'dim': 12, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 68753031272, 'hecke_orbit_dims': [2, 4, 6], 'label': '104.2.b', 'level': 104, '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, 13], 'level_radical': 26, 'mf_dim': 16, 'mf_new_dim': 12, 'num_forms': 3, 'prim_orbit_index': 2, 'relative_dim': 12, 'sturm_bound': 28, 'trace_bound': 1, 'trace_display': [-2, 0, 0, -4], 'traces': [12, -2, 0, -2, 0, -4, -4, 4, -12, 6, 0, -6, 0, -14, 8, 10, 0, 6, 0, 8, 0, -4, 8, 0, -12, 0, 0, -32, 0, 22, -4, -12, 8, 4, 0, 16, 0, 12, -8, -18, -8, -22, 0, 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-24, -64, 0, 12, 0, 12, -88, -66], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40547503
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 53, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007268007772264, 'target_is_minimal': True, 'target_label': '104.2.b.c.53.6', 'target_level': 104, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40547504
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 469, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156776, 'target_is_minimal': False, 'target_label': '936.2.g.c.469.1', 'target_level': 936, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40547505
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 209, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007268007772576, 'target_is_minimal': False, 'target_label': '416.2.b.c.209.3', 'target_level': 416, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40547506
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 209, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268007772576, 'target_is_minimal': False, 'target_label': '416.2.b.c.209.4', 'target_level': 416, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40547507
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 53, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007268007772264, 'target_is_minimal': True, 'target_label': '104.2.b.c.53.5', 'target_level': 104, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40547508
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 1873, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605159584, 'target_is_minimal': False, 'target_label': '3744.2.g.c.1873.2', 'target_level': 3744, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40547509
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482043136, 'target_is_minimal': False, 'target_label': '3328.2.a.bf.1.2', 'target_level': 3328, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40547510
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854672640, 'target_is_minimal': False, 'target_label': '3328.2.a.be.1.2', 'target_level': 3328, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40547511
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188109413632, 'target_is_minimal': False, 'target_label': '3328.2.a.bg.1.2', 'target_level': 3328, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40547512
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736784128, 'target_is_minimal': False, 'target_label': '3328.2.a.bh.1.2', 'target_level': 3328, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40547513
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 469, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605156776, 'target_is_minimal': False, 'target_label': '936.2.g.c.469.2', 'target_level': 936, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40547514
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007268007772264, 'source_is_minimal': True, 'source_label': '104.2.b.c.53.6', 'source_level': 104, 'target_conrey_index': 1873, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007611605159584, 'target_is_minimal': False, 'target_label': '3744.2.g.c.1873.5', 'target_level': 3744, 'twist_class_label': '104.2.b.c.53.5', 'twist_class_level': 104, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 306350
{'charpoly_factorization': [[[8, 8, 6, 6, 3, 2, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 2}
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id: 306351
{'charpoly_factorization': [[[1, 0, 47, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 3}
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id: 306352
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 9007268007772264, 'p': 5}
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id: 306353
{'charpoly_factorization': [[[-1, -7, -1, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 7}
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id: 306354
{'charpoly_factorization': [[[256, 0, 272, 0, 40, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 11}
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id: 306355
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 9007268007772264, 'p': 13}
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id: 306356
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 9007268007772264, 'p': 17}
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id: 306357
{'charpoly_factorization': [[[16, 0, 1], 3]], 'hecke_orbit_code': 9007268007772264, 'p': 19}
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id: 306358
{'charpoly_factorization': [[[-32, 4, 8, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 23}
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id: 306359
{'charpoly_factorization': [[[65536, 0, 5648, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 29}
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id: 306360
{'charpoly_factorization': [[[-64, 68, -16, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 31}
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id: 306361
{'charpoly_factorization': [[[121, 0, 691, 0, 59, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 37}
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id: 306362
{'charpoly_factorization': [[[-352, -32, 10, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 41}
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id: 306363
{'charpoly_factorization': [[[1, 0, 15, 0, 47, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 43}
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id: 306364
{'charpoly_factorization': [[[-227, -47, 5, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 47}
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id: 306365
{'charpoly_factorization': [[[4096, 0, 1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 53}
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id: 306366
{'charpoly_factorization': [[[369664, 0, 18816, 0, 260, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 59}
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id: 306367
{'charpoly_factorization': [[[1048576, 0, 32768, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 61}
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id: 306368
{'charpoly_factorization': [[[23104, 0, 10736, 0, 220, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 67}
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id: 306369
{'charpoly_factorization': [[[-271, -31, 9, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 71}
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id: 306370
{'charpoly_factorization': [[[-64, -16, 6, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 73}
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id: 306371
{'charpoly_factorization': [[[-1448, -220, 6, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 79}
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id: 306372
{'charpoly_factorization': [[[7744, 0, 1776, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 9007268007772264, 'p': 83}
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id: 306373
{'charpoly_factorization': [[[128, -48, -8, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 89}
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id: 306374
{'charpoly_factorization': [[[848, -108, -8, 1], 2]], 'hecke_orbit_code': 9007268007772264, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 3, 'label': '104.2.b.c', 'level': 104, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 29552329
{'hecke_orbit_code': 9007268007772264, 'n': 1, 'trace_an': 6}
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id: 29552330
{'hecke_orbit_code': 9007268007772264, 'n': 2, 'trace_an': -2}
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id: 29552331
{'hecke_orbit_code': 9007268007772264, 'n': 3, 'trace_an': 0}
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id: 29552332
{'hecke_orbit_code': 9007268007772264, 'n': 4, 'trace_an': -2}
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id: 29552333
{'hecke_orbit_code': 9007268007772264, 'n': 5, 'trace_an': 0}
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id: 29552334
{'hecke_orbit_code': 9007268007772264, 'n': 6, 'trace_an': -10}
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id: 29552335
{'hecke_orbit_code': 9007268007772264, 'n': 7, 'trace_an': 2}
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id: 29552336
{'hecke_orbit_code': 9007268007772264, 'n': 8, 'trace_an': -8}
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id: 29552337
{'hecke_orbit_code': 9007268007772264, 'n': 9, 'trace_an': -12}
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