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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, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [975, 3, [326, 352, 301], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 451, 'conrey_indexes': [451, 601], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -1, 1]], [7, [4, -2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518547926221775, 'hecke_ring_generator_nbound': 2, '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, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': 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mf_hecke_cc • Show schema
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0.8660254037844386, 'embedding_root_real': 0.5, 'hecke_orbit': 6, 'hecke_orbit_code': 22518547926221775, 'label': '975.2.i.f.451.1', 'level': 975, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3900, 'analytic_conductor': 7.785414197074838, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [975, 3, [326, 352, 301], [3, 3, 2]], 'conrey_index': 451, 'cusp_dim': 256, 'dim': 86, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 549789369295, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 12, 12, 12, 12], 'label': '975.2.i', 'level': 975, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'mf_dim': 304, 'mf_new_dim': 86, 'num_forms': 17, 'prim_orbit_index': 3, 'relative_dim': 43, 'sturm_bound': 280, 'trace_bound': 7, 'trace_display': [2, -1, 0, 1], 'traces': [86, 2, -1, -40, 0, 0, 1, -12, -43, 0, -2, -4, -5, 32, 0, -38, -10, -4, 2, 0, -14, -8, 10, -12, 0, -18, 2, 18, 12, 0, 34, -6, -2, -108, 0, -40, 4, -40, 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mf_twists_cc • Show schema
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id: 45276519
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 451, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221775, 'target_is_minimal': False, 'target_label': '975.2.i.f.451.1', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45276520
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 724, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512654341538767, 'target_is_minimal': False, 'target_label': '975.2.bb.d.724.2', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45276521
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 724, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512654341538767, 'target_is_minimal': False, 'target_label': '975.2.bb.d.724.1', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45276522
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 22, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461415, 'target_is_minimal': True, 'target_label': '39.2.e.a.22.1', 'target_level': 39, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45276523
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 601, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221775, 'target_is_minimal': False, 'target_label': '975.2.i.f.601.1', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45276524
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 100, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785461, 'target_is_minimal': False, 'target_label': '117.2.g.b.100.1', 'target_level': 117, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45276525
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923824, 'target_is_minimal': False, 'target_label': '624.2.q.c.529.1', 'target_level': 624, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45276526
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 1153, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533702349948752, 'target_is_minimal': False, 'target_label': '1872.2.t.j.1153.1', 'target_level': 1872, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45276527
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512654341538767, 'target_is_minimal': False, 'target_label': '975.2.bb.d.874.2', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45276528
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925435, 'target_is_minimal': False, 'target_label': '507.2.a.b.1.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45276529
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295931, 'target_is_minimal': False, 'target_label': '507.2.a.c.1.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45276530
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380402171, 'target_is_minimal': False, 'target_label': '507.2.b.b.337.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45276531
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511417390957051, 'target_is_minimal': False, 'target_label': '507.2.j.d.361.2', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 45276532
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 16, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461415, 'target_is_minimal': True, 'target_label': '39.2.e.a.16.1', 'target_level': 39, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45276533
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 316, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417390957051, 'target_is_minimal': False, 'target_label': '507.2.j.d.316.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 45276534
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 874, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512654341538767, 'target_is_minimal': False, 'target_label': '975.2.bb.d.874.1', 'target_level': 975, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.42', 'twisting_conrey_index': 42, 'weight': 2}
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id: 45276535
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 316, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511417390957051, 'target_is_minimal': False, 'target_label': '507.2.j.d.316.2', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 45276536
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 484, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202875, 'target_is_minimal': False, 'target_label': '507.2.e.c.484.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 45276537
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511417390957051, 'target_is_minimal': False, 'target_label': '507.2.j.d.361.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 45276538
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380402171, 'target_is_minimal': False, 'target_label': '507.2.b.b.337.2', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45276539
{'conductor': 65, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 22, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202875, 'target_is_minimal': False, 'target_label': '507.2.e.c.22.1', 'target_level': 507, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '65.64', 'twisting_conrey_index': 64, 'weight': 2}
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id: 45276540
{'conductor': 195, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 55, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785461, 'target_is_minimal': False, 'target_label': '117.2.g.b.55.1', 'target_level': 117, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '195.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45276541
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268007773681, 'target_is_minimal': False, 'target_label': '1521.2.b.c.1351.1', 'target_level': 1521, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '195.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45276542
{'conductor': 195, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555953, 'target_is_minimal': False, 'target_label': '1521.2.a.a.1.1', 'target_level': 1521, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '195.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 45276543
{'conductor': 195, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667441, 'target_is_minimal': False, 'target_label': '1521.2.a.d.1.1', 'target_level': 1521, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '195.134', 'twisting_conrey_index': 134, 'weight': 2}
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id: 45276544
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 1351, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007773681, 'target_is_minimal': False, 'target_label': '1521.2.b.c.1351.2', 'target_level': 1521, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '195.149', 'twisting_conrey_index': 149, 'weight': 2}
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id: 45276545
{'conductor': 260, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835713456, 'target_is_minimal': False, 'target_label': '8112.2.a.w.1.1', 'target_level': 8112, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '260.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 45276546
{'conductor': 260, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298799923824, 'target_is_minimal': False, 'target_label': '624.2.q.c.289.1', 'target_level': 624, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '260.159', 'twisting_conrey_index': 159, 'weight': 2}
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id: 45276547
{'conductor': 260, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599936432, 'target_is_minimal': False, 'target_label': '8112.2.a.bc.1.1', 'target_level': 8112, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '260.199', 'twisting_conrey_index': 199, 'weight': 2}
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id: 45276548
{'conductor': 780, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 451, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518547926221775, 'source_is_minimal': False, 'source_label': '975.2.i.f.451.1', 'source_level': 975, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533702349948752, 'target_is_minimal': False, 'target_label': '1872.2.t.j.289.1', 'target_level': 1872, 'twist_class_label': '39.2.e.a.16.1', 'twist_class_level': 39, 'twisting_char_label': '780.419', 'twisting_conrey_index': 419, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1557225
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 2}
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id: 1557226
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 3}
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id: 1557227
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518547926221775, 'p': 5}
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id: 1557228
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 7}
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id: 1557229
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 11}
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id: 1557230
{'charpoly_factorization': [[[13, -7, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 13}
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id: 1557231
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 17}
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id: 1557232
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 19}
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id: 1557233
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 23}
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id: 1557234
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 29}
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id: 1557235
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 22518547926221775, 'p': 31}
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id: 1557236
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 37}
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id: 1557237
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 41}
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id: 1557238
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 43}
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id: 1557239
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 22518547926221775, 'p': 47}
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id: 1557240
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 22518547926221775, 'p': 53}
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id: 1557241
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518547926221775, 'p': 59}
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id: 1557242
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 61}
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id: 1557243
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 67}
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id: 1557244
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 71}
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id: 1557245
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 22518547926221775, 'p': 73}
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id: 1557246
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 22518547926221775, 'p': 79}
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id: 1557247
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 22518547926221775, 'p': 83}
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id: 1557248
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 89}
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id: 1557249
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 22518547926221775, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 6, 'label': '975.2.i.f', '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: 172899000
{'hecke_orbit_code': 22518547926221775, 'n': 1, 'trace_an': 2}
-
id: 172899001
{'hecke_orbit_code': 22518547926221775, 'n': 2, 'trace_an': 1}
-
id: 172899002
{'hecke_orbit_code': 22518547926221775, 'n': 3, 'trace_an': -1}
-
id: 172899003
{'hecke_orbit_code': 22518547926221775, 'n': 4, 'trace_an': 1}
-
id: 172899004
{'hecke_orbit_code': 22518547926221775, 'n': 5, 'trace_an': 0}
-
id: 172899005
{'hecke_orbit_code': 22518547926221775, 'n': 6, 'trace_an': 1}
-
id: 172899006
{'hecke_orbit_code': 22518547926221775, 'n': 7, 'trace_an': 2}
-
id: 172899007
{'hecke_orbit_code': 22518547926221775, 'n': 8, 'trace_an': 6}
-
id: 172899008
{'hecke_orbit_code': 22518547926221775, 'n': 9, 'trace_an': -1}
-
id: 172899009
{'hecke_orbit_code': 22518547926221775, 'n': 10, 'trace_an': 0}
-
id: 172899010
{'hecke_orbit_code': 22518547926221775, 'n': 11, 'trace_an': 2}
-
id: 172899011
{'hecke_orbit_code': 22518547926221775, 'n': 12, 'trace_an': -2}
-
id: 172899012
{'hecke_orbit_code': 22518547926221775, 'n': 13, 'trace_an': 7}
-
id: 172899013
{'hecke_orbit_code': 22518547926221775, 'n': 14, 'trace_an': 4}
-
id: 172899014
{'hecke_orbit_code': 22518547926221775, 'n': 15, 'trace_an': 0}
-
id: 172899015
{'hecke_orbit_code': 22518547926221775, 'n': 16, 'trace_an': 1}
-
id: 172899016
{'hecke_orbit_code': 22518547926221775, 'n': 17, 'trace_an': -7}
-
id: 172899017
{'hecke_orbit_code': 22518547926221775, 'n': 18, 'trace_an': -2}
-
id: 172899018
{'hecke_orbit_code': 22518547926221775, 'n': 19, 'trace_an': 6}
-
id: 172899019
{'hecke_orbit_code': 22518547926221775, 'n': 20, 'trace_an': 0}
-
id: 172899020
{'hecke_orbit_code': 22518547926221775, 'n': 21, 'trace_an': -4}
-
id: 172899021
{'hecke_orbit_code': 22518547926221775, 'n': 22, 'trace_an': -2}
-
id: 172899022
{'hecke_orbit_code': 22518547926221775, 'n': 23, 'trace_an': -6}
-
id: 172899023
{'hecke_orbit_code': 22518547926221775, 'n': 24, 'trace_an': -3}
-
id: 172899024
{'hecke_orbit_code': 22518547926221775, 'n': 25, 'trace_an': 0}
-
id: 172899025
{'hecke_orbit_code': 22518547926221775, 'n': 26, 'trace_an': 5}
-
id: 172899026
{'hecke_orbit_code': 22518547926221775, 'n': 27, 'trace_an': 2}
-
id: 172899027
{'hecke_orbit_code': 22518547926221775, 'n': 28, 'trace_an': -2}
-
id: 172899028
{'hecke_orbit_code': 22518547926221775, 'n': 29, 'trace_an': 1}
-
id: 172899029
{'hecke_orbit_code': 22518547926221775, 'n': 30, 'trace_an': 0}
-
id: 172899030
{'hecke_orbit_code': 22518547926221775, 'n': 31, 'trace_an': 8}
-
id: 172899031
{'hecke_orbit_code': 22518547926221775, 'n': 32, 'trace_an': 5}
-
id: 172899032
{'hecke_orbit_code': 22518547926221775, 'n': 33, 'trace_an': 2}
-
id: 172899033
{'hecke_orbit_code': 22518547926221775, 'n': 34, 'trace_an': -14}
-
id: 172899034
{'hecke_orbit_code': 22518547926221775, 'n': 35, 'trace_an': 0}
-
id: 172899035
{'hecke_orbit_code': 22518547926221775, 'n': 36, 'trace_an': 1}
-
id: 172899036
{'hecke_orbit_code': 22518547926221775, 'n': 37, 'trace_an': 1}
-
id: 172899037
{'hecke_orbit_code': 22518547926221775, 'n': 38, 'trace_an': 12}
-
id: 172899038
{'hecke_orbit_code': 22518547926221775, 'n': 39, 'trace_an': -5}
-
id: 172899039
{'hecke_orbit_code': 22518547926221775, 'n': 40, 'trace_an': 0}
-
id: 172899040
{'hecke_orbit_code': 22518547926221775, 'n': 41, 'trace_an': -9}
-
id: 172899041
{'hecke_orbit_code': 22518547926221775, 'n': 42, 'trace_an': -2}
-
id: 172899042
{'hecke_orbit_code': 22518547926221775, 'n': 43, 'trace_an': 6}
-
id: 172899043
{'hecke_orbit_code': 22518547926221775, 'n': 44, 'trace_an': 4}
-
id: 172899044
{'hecke_orbit_code': 22518547926221775, 'n': 45, 'trace_an': 0}
-
id: 172899045
{'hecke_orbit_code': 22518547926221775, 'n': 46, 'trace_an': 6}
-
id: 172899046
{'hecke_orbit_code': 22518547926221775, 'n': 47, 'trace_an': -12}
-
id: 172899047
{'hecke_orbit_code': 22518547926221775, 'n': 48, 'trace_an': 1}
-
id: 172899048
{'hecke_orbit_code': 22518547926221775, 'n': 49, 'trace_an': 3}
-
id: 172899049
{'hecke_orbit_code': 22518547926221775, 'n': 50, 'trace_an': 0}
-
id: 172899050
{'hecke_orbit_code': 22518547926221775, 'n': 51, 'trace_an': 14}
-
id: 172899051
{'hecke_orbit_code': 22518547926221775, 'n': 52, 'trace_an': 2}
-
id: 172899052
{'hecke_orbit_code': 22518547926221775, 'n': 53, 'trace_an': 18}
-
id: 172899053
{'hecke_orbit_code': 22518547926221775, 'n': 54, 'trace_an': 1}
-
id: 172899054
{'hecke_orbit_code': 22518547926221775, 'n': 55, 'trace_an': 0}
-
id: 172899055
{'hecke_orbit_code': 22518547926221775, 'n': 56, 'trace_an': 6}
-
id: 172899056
{'hecke_orbit_code': 22518547926221775, 'n': 57, 'trace_an': -12}
-
id: 172899057
{'hecke_orbit_code': 22518547926221775, 'n': 58, 'trace_an': -1}
-
id: 172899058
{'hecke_orbit_code': 22518547926221775, 'n': 59, 'trace_an': 0}
-
id: 172899059
{'hecke_orbit_code': 22518547926221775, 'n': 60, 'trace_an': 0}
-
id: 172899060
{'hecke_orbit_code': 22518547926221775, 'n': 61, 'trace_an': -1}
-
id: 172899061
{'hecke_orbit_code': 22518547926221775, 'n': 62, 'trace_an': 4}
-
id: 172899062
{'hecke_orbit_code': 22518547926221775, 'n': 63, 'trace_an': 2}
-
id: 172899063
{'hecke_orbit_code': 22518547926221775, 'n': 64, 'trace_an': 14}
-
id: 172899064
{'hecke_orbit_code': 22518547926221775, 'n': 65, 'trace_an': 0}
-
id: 172899065
{'hecke_orbit_code': 22518547926221775, 'n': 66, 'trace_an': 4}
-
id: 172899066
{'hecke_orbit_code': 22518547926221775, 'n': 67, 'trace_an': -2}
-
id: 172899067
{'hecke_orbit_code': 22518547926221775, 'n': 68, 'trace_an': 7}
-
id: 172899068
{'hecke_orbit_code': 22518547926221775, 'n': 69, 'trace_an': -6}
-
id: 172899069
{'hecke_orbit_code': 22518547926221775, 'n': 70, 'trace_an': 0}
-
id: 172899070
{'hecke_orbit_code': 22518547926221775, 'n': 71, 'trace_an': -6}
-
id: 172899071
{'hecke_orbit_code': 22518547926221775, 'n': 72, 'trace_an': -3}
-
id: 172899072
{'hecke_orbit_code': 22518547926221775, 'n': 73, 'trace_an': -22}
-
id: 172899073
{'hecke_orbit_code': 22518547926221775, 'n': 74, 'trace_an': -1}
-
id: 172899074
{'hecke_orbit_code': 22518547926221775, 'n': 75, 'trace_an': 0}
-
id: 172899075
{'hecke_orbit_code': 22518547926221775, 'n': 76, 'trace_an': -6}
-
id: 172899076
{'hecke_orbit_code': 22518547926221775, 'n': 77, 'trace_an': 8}
-
id: 172899077
{'hecke_orbit_code': 22518547926221775, 'n': 78, 'trace_an': 2}
-
id: 172899078
{'hecke_orbit_code': 22518547926221775, 'n': 79, 'trace_an': -8}
-
id: 172899079
{'hecke_orbit_code': 22518547926221775, 'n': 80, 'trace_an': 0}
-
id: 172899080
{'hecke_orbit_code': 22518547926221775, 'n': 81, 'trace_an': -1}
-
id: 172899081
{'hecke_orbit_code': 22518547926221775, 'n': 82, 'trace_an': 9}
-
id: 172899082
{'hecke_orbit_code': 22518547926221775, 'n': 83, 'trace_an': 28}
-
id: 172899083
{'hecke_orbit_code': 22518547926221775, 'n': 84, 'trace_an': -2}
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id: 172899084
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