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mf_newforms • Show schema
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{'Nk2': 4992, 'analytic_conductor': 9.965330172255792, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 52, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 4, 'char_parity': 1, 'char_values': [1248, 4, [703, 1093, 833, 769], [2, 4, 4, 3]], 'cm_discs': [], 'conrey_index': 31, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [8, -4, 1]], [7, [8, 4, 1]], [11, [18, 6, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49541520079979744, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 52, 6, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1248.2.bc.l', 'level': 1248, '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, 3, 13], 'level_radical': 78, 'minimal_twist': '1248.2.bc.l', 'nf_label': '2.0.4.1', 'prim_orbit_index': 6, 'qexp_display': 'q-i q^{3}+(2 i+2)q^{5}+(-2 i-2)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1248.2.bc', 'trace_display': [0, 0, 4, -4], 'trace_hash': 1705210618174268793, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.322', 'prec': 20}, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 4992, 'analytic_conductor': 9.965330172255792, 'char_conductor': 52, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 4, 'char_parity': 1, 'char_values': [1248, 4, [703, 1093, 833, 769], [2, 4, 4, 3]], 'conrey_index': 31, 'cusp_dim': 416, 'dim': 56, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 1924178904288, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6], 'label': '1248.2.bc', 'level': 1248, '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, 3, 13], 'level_radical': 78, 'mf_dim': 480, 'mf_new_dim': 56, 'num_forms': 20, 'prim_orbit_index': 6, 'relative_dim': 28, 'sturm_bound': 448, 'trace_bound': 11, 'trace_display': [0, 0, 8, 0], 'traces': [56, 0, 0, 0, 8, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 56, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 16, 0, 0, 0, 24, 0, 0, 0, -16, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, -168, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 168, 0, 0, 0, 24, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -192, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 72, 0, 0, 0, -32, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 120, 0, 0, 0, -184, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, -56, 0, 0, 0, -192, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -152, 0, 0, 0, -136, 0, 0, 0, 8, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -240, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 120, 0, 0, 0, 16, 0, 0, 0, -40, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 128, 0, 0, 0, 160, 0, 0, 0, 104, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 208, 0, 0, 0, -72, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -128, 0, 0, 0, -152, 0, 0, 0, 128, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 544, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, -488, 0, 0, 0, 32, 0, 0, 0, 40, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 40, 0, 0, 0, -56, 0, 0, 0, 352, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 160, 0, 0, 0, 272, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 312, 0, 0, 0, 256, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 264, 0, 0, 0, 160, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -248, 0, 0, 0, -16, 0, 0, 0, -56, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -112, 0, 0, 0, 128, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 16, 0, 0, 0, 232, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 480, 0, 0, 0, -384, 0, 0, 0, -24, 0, 0, 0, -328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 320, 0, 0, 0, -112, 0, 0, 0, -392, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 784, 0, 0, 0, -192, 0, 0, 0, -64, 0, 0, 0, -440, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -48, 0, 0, 0, -560, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47455974
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1087, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49541520079979744, 'source_is_minimal': True, 'source_label': '1248.2.bc.l.1087.1', 'source_level': 1248, 'target_conrey_index': 1087, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49541520079979744, 'target_is_minimal': True, 'target_label': '1248.2.bc.l.1087.1', 'target_level': 1248, 'twist_class_label': '1248.2.bc.l.31.1', 'twist_class_level': 1248, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47455975
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1087, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49541520079979744, 'source_is_minimal': True, 'source_label': '1248.2.bc.l.1087.1', 'source_level': 1248, 'target_conrey_index': 1087, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54045119707350240, 'target_is_minimal': True, 'target_label': '1248.2.bc.m.1087.1', 'target_level': 1248, 'twist_class_label': '1248.2.bc.l.31.1', 'twist_class_level': 1248, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47455976
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1087, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49541520079979744, 'source_is_minimal': True, 'source_label': '1248.2.bc.l.1087.1', 'source_level': 1248, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54045119707350240, 'target_is_minimal': True, 'target_label': '1248.2.bc.m.31.1', 'target_level': 1248, 'twist_class_label': '1248.2.bc.l.31.1', 'twist_class_level': 1248, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47455977
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1087, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49541520079979744, 'source_is_minimal': True, 'source_label': '1248.2.bc.l.1087.1', 'source_level': 1248, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49541520079979744, 'target_is_minimal': True, 'target_label': '1248.2.bc.l.31.1', 'target_level': 1248, 'twist_class_label': '1248.2.bc.l.31.1', 'twist_class_level': 1248, 'twisting_char_label': '52.31', 'twisting_conrey_index': 31, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1718100
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49541520079979744, 'p': 2}
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id: 1718101
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 3}
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id: 1718102
{'charpoly_factorization': [[[8, -4, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 5}
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id: 1718103
{'charpoly_factorization': [[[8, 4, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 7}
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id: 1718104
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 11}
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id: 1718105
{'charpoly_factorization': [[[13, 6, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 13}
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id: 1718106
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 17}
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id: 1718107
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49541520079979744, 'p': 19}
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id: 1718108
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 49541520079979744, 'p': 23}
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id: 1718109
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 49541520079979744, 'p': 29}
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id: 1718110
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49541520079979744, 'p': 31}
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id: 1718111
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 37}
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id: 1718112
{'charpoly_factorization': [[[128, 16, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 41}
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id: 1718113
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 49541520079979744, 'p': 43}
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id: 1718114
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 47}
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id: 1718115
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 49541520079979744, 'p': 53}
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id: 1718116
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 59}
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id: 1718117
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 49541520079979744, 'p': 61}
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id: 1718118
{'charpoly_factorization': [[[8, -4, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 67}
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id: 1718119
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 71}
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id: 1718120
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 73}
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id: 1718121
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 79}
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id: 1718122
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 83}
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id: 1718123
{'charpoly_factorization': [[[200, 20, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 89}
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id: 1718124
{'charpoly_factorization': [[[242, 22, 1], 1]], 'hecke_orbit_code': 49541520079979744, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 29, 'hecke_orbit': 12, 'label': '1248.2.bc.l', 'level': 1248, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 57009463
{'hecke_orbit_code': 49541520079979744, 'n': 1, 'trace_an': 2}
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