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mf_newforms • Show schema
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{'Nk2': 3900, 'analytic_conductor': 7.785414197074838, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [13, 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': [975, 1, [326, 352, 301], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 1821184, 'field_disc_factorization': [[2, 9], [3557, 1]], 'field_poly': [-4, 13, 0, -8, 0, 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, 13, 0, -8, 0, 1]], [7, [32, -32, -88, -16, 5, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698853839, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'ALdims': [5, 4, 6, 4, 7, 2, 2, 8], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [8, 14, 12, 12, 13, 12, 12, 8], 'Nk2': 3900, 'analytic_conductor': 7.785414197074838, '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': [975, 1, [326, 352, 301], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 129, 'dim': 38, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33555407, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 5, 5], 'label': '975.2.a', 'level': 975, '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': [3, 5, 13], 'level_radical': 195, 'mf_dim': 152, 'mf_new_dim': 38, 'num_forms': 19, 'plus_dim': 13, 'prim_orbit_index': 1, 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mf_twists_cc • Show schema
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id: 48083857
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 76561193698853839, 'target_is_minimal': False, 'target_label': '975.2.a.r.1.3', 'target_level': 975, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48083858
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 166633186246265709, 'target_is_minimal': False, 'target_label': '2925.2.a.bl.1.3', 'target_level': 2925, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48083859
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 79, 'target_dim': 10, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503737099878595, 'target_is_minimal': True, 'target_label': '195.2.c.b.79.6', 'target_level': 195, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48083860
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 79, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503737099878595, 'target_is_minimal': True, 'target_label': '195.2.c.b.79.5', 'target_level': 195, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48083861
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326224335, 'target_is_minimal': False, 'target_label': '975.2.a.s.1.3', 'target_level': 975, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48083862
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 469, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007336727249481, 'target_is_minimal': False, 'target_label': '585.2.c.c.469.5', 'target_level': 585, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48083863
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 469, 'target_dim': 10, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007336727249481, 'target_is_minimal': False, 'target_label': '585.2.c.c.469.6', 'target_level': 585, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48083864
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 171136785873636205, 'target_is_minimal': False, 'target_label': '2925.2.a.bm.1.3', 'target_level': 2925, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48083865
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 1249, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 67554750358359088, 'target_is_minimal': False, 'target_label': '3120.2.l.p.1249.10', 'target_level': 3120, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48083866
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 76561193698853839, 'source_is_minimal': False, 'source_label': '975.2.a.r.1.3', 'source_level': 975, 'target_conrey_index': 1249, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67554750358359088, 'target_is_minimal': False, 'target_label': '3120.2.l.p.1249.5', 'target_level': 3120, 'twist_class_label': '195.2.c.b.79.5', 'twist_class_level': 195, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1556125
{'charpoly_factorization': [[[-4, 13, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 2}
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id: 1556126
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 76561193698853839, 'p': 3}
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id: 1556127
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 76561193698853839, 'p': 5}
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id: 1556128
{'charpoly_factorization': [[[32, -32, -88, -16, 5, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 7}
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id: 1556129
{'charpoly_factorization': [[[-452, 156, 100, -24, -5, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 11}
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id: 1556130
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 76561193698853839, 'p': 13}
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id: 1556131
{'charpoly_factorization': [[[-80, 144, 88, -24, -5, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 17}
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id: 1556132
{'charpoly_factorization': [[[-1280, -608, 448, -40, -8, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 19}
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id: 1556133
{'charpoly_factorization': [[[320, 1024, 208, -56, -7, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 23}
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id: 1556134
{'charpoly_factorization': [[[-640, 144, 192, -24, -8, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 29}
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id: 1556135
{'charpoly_factorization': [[[128, -1376, 736, -40, -12, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 31}
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id: 1556136
{'charpoly_factorization': [[[592, -176, -296, 40, 17, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 37}
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id: 1556137
{'charpoly_factorization': [[[-196, -84, 204, -48, -5, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 41}
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id: 1556138
{'charpoly_factorization': [[[448, -240, -224, 8, 12, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 43}
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id: 1556139
{'charpoly_factorization': [[[8, 628, 320, -52, -10, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 47}
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id: 1556140
{'charpoly_factorization': [[[-16, 80, 72, -24, -13, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 53}
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id: 1556141
{'charpoly_factorization': [[[-400, 3620, 472, -108, -8, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 59}
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id: 1556142
{'charpoly_factorization': [[[-256, 0, 128, 0, -13, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 61}
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id: 1556143
{'charpoly_factorization': [[[-3968, -1888, 352, 232, 28, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 67}
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id: 1556144
{'charpoly_factorization': [[[-28868, 5580, 1220, -208, -5, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 71}
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id: 1556145
{'charpoly_factorization': [[[-14944, 3024, 1488, -120, -14, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 73}
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id: 1556146
{'charpoly_factorization': [[[-400, -112, 728, -248, -1, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 79}
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id: 1556147
{'charpoly_factorization': [[[-60712, 13940, 1008, -276, -6, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 83}
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id: 1556148
{'charpoly_factorization': [[[4900, 5020, 1108, -56, -19, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 89}
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id: 1556149
{'charpoly_factorization': [[[35504, -22544, 4520, -240, -13, 1], 1]], 'hecke_orbit_code': 76561193698853839, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '975.2.a.r', 'level': 975, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62101609
{'hecke_orbit_code': 76561193698853839, 'n': 1, 'trace_an': 5}
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id: 62101610
{'hecke_orbit_code': 76561193698853839, 'n': 2, 'trace_an': 0}
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id: 62101611
{'hecke_orbit_code': 76561193698853839, 'n': 3, 'trace_an': -5}
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id: 62101612
{'hecke_orbit_code': 76561193698853839, 'n': 4, 'trace_an': 6}
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id: 62101613
{'hecke_orbit_code': 76561193698853839, 'n': 5, 'trace_an': 0}
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id: 62101614
{'hecke_orbit_code': 76561193698853839, 'n': 6, 'trace_an': 0}
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id: 62101615
{'hecke_orbit_code': 76561193698853839, 'n': 7, 'trace_an': -5}
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id: 62101616
{'hecke_orbit_code': 76561193698853839, 'n': 8, 'trace_an': 0}
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id: 62101617
{'hecke_orbit_code': 76561193698853839, 'n': 9, 'trace_an': 5}
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