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mf_newforms • Show schema
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{'Nk2': 180, 'analytic_conductor': 0.3593268090957617, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [45, 3, [11, 37], [2, 3]], 'cm_discs': [], 'conrey_index': 16, 'conrey_indexes': [16, 31], 'dim': 6, 'field_disc': -954288, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [47, 2]], 'field_poly': [27, -9, -6, 3, -2, -1, 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': [[2, [9, 15, 28, 1, 6, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538831917, 'hecke_ring_generator_nbound': 4, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '45.2.e.b', 'level': 45, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.2.e.b', 'nf_label': '6.0.954288.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{2}-\\beta _{4}-\\beta _{5})q^{2}+\\beta _{4}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45.2.e', 'trace_display': [-1, 1, -3, -5], 'trace_hash': 810449350294801849, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.846', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.311', 'prec': 17}, {'__RealLiteral__': 0, 'data': '139.240', 'prec': 24}, {'__RealLiteral__': 0, 'data': '227.572', 'prec': 24}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 180, 'analytic_conductor': 0.3593268090957617, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [45, 3, [11, 37], [2, 3]], 'conrey_index': 16, 'cusp_dim': 8, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461421, 'hecke_orbit_dims': [2, 6], 'label': '45.2.e', 'level': 45, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 16, 'mf_new_dim': 8, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 12, 'trace_bound': 1, 'trace_display': [-2, -2, -2, -2], 'traces': [8, -2, -2, -4, -2, -4, -2, 0, -4, 0, 4, 14, -2, 12, -2, -4, 4, -20, -8, -6, 0, 6, -6, 24, -4, -8, -2, 16, 8, 14, -8, -22, 20, 0, 16, 16, 4, 10, -20, -6, 8, -42, -2, -40, 8, 0, -20, -10, 0, -2, -16, 10, -8, -4, 0, 0, 22, 18, 16, 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mf_twists_cc • Show schema
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id: 35008118
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.16.3', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35008119
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 46, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.46.1', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35008120
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 241, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.241.3', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35008121
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.5', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35008122
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.2', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35008123
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.151.1', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35008124
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052518805, 'target_is_minimal': False, 'target_label': '405.2.a.i.1.3', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35008125
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 31, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.31.3', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35008126
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 91, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.91.1', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35008127
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889301, 'target_is_minimal': False, 'target_label': '405.2.a.j.1.1', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35008128
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 721, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.721.3', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35008129
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.2', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35008130
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.5', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35008131
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 451, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.451.3', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35008132
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 211669182519974224, 'target_is_minimal': False, 'target_label': '6480.2.a.bv.1.1', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35008133
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 198158383637862736, 'target_is_minimal': False, 'target_label': '6480.2.a.bs.1.1', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35008134
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 1441, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.1441.3', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35008135
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 481, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.481.3', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35008136
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.5', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35008137
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.76.1', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35008138
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.2', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35008139
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.5', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35008140
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.226.3', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35008141
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.2', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35008142
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.2', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35008143
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816743401, 'target_is_minimal': False, 'target_label': '2025.2.a.o.1.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35008144
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.5', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35008145
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58546795189372905, 'target_is_minimal': False, 'target_label': '2025.2.a.n.1.3', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 35008146
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.2', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 35008147
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538831917, 'source_is_minimal': True, 'source_label': '45.2.e.b.16.3', 'source_level': 45, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.5', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.3', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 149950
{'charpoly_factorization': [[[9, 15, 28, 1, 6, 1, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 2}
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id: 149951
{'charpoly_factorization': [[[27, -9, 12, -3, 4, -1, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 3}
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id: 149952
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 4503874538831917, 'p': 5}
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id: 149953
{'charpoly_factorization': [[[9, -9, 24, 21, 22, 5, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 7}
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id: 149954
{'charpoly_factorization': [[[144, -96, 88, -8, 12, -2, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 11}
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id: 149955
{'charpoly_factorization': [[[16, 16, 32, -8, 20, 4, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 13}
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id: 149956
{'charpoly_factorization': [[[-12, -8, 2, 1], 2]], 'hecke_orbit_code': 4503874538831917, 'p': 17}
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id: 149957
{'charpoly_factorization': [[[4, -4, -4, 1], 2]], 'hecke_orbit_code': 4503874538831917, 'p': 19}
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id: 149958
{'charpoly_factorization': [[[13689, 3861, 1440, 135, 42, 3, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 23}
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id: 149959
{'charpoly_factorization': [[[2601, -1479, 1198, 101, 78, -7, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 29}
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id: 149960
{'charpoly_factorization': [[[219024, 28080, 7344, 456, 124, 8, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 31}
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id: 149961
{'charpoly_factorization': [[[4, -12, -6, 1], 2]], 'hecke_orbit_code': 4503874538831917, 'p': 37}
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id: 149962
{'charpoly_factorization': [[[9, -57, 322, -241, 150, -13, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 41}
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id: 149963
{'charpoly_factorization': [[[16, 16, 56, -32, 104, 10, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 43}
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id: 149964
{'charpoly_factorization': [[[136161, 4059, 4918, 595, 180, 13, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 47}
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id: 149965
{'charpoly_factorization': [[[-24, -20, 2, 1], 2]], 'hecke_orbit_code': 4503874538831917, 'p': 53}
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id: 149966
{'charpoly_factorization': [[[576, -480, 448, -8, 24, -2, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 59}
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id: 149967
{'charpoly_factorization': [[[5041, -2627, 1298, -179, 38, 1, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 61}
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id: 149968
{'charpoly_factorization': [[[257049, 19773, 7098, 585, 160, 11, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 67}
-
id: 149969
{'charpoly_factorization': [[[-708, -92, 10, 1], 2]], 'hecke_orbit_code': 4503874538831917, 'p': 71}
-
id: 149970
{'charpoly_factorization': [[[-128, -64, 8, 1], 2]], 'hecke_orbit_code': 4503874538831917, 'p': 73}
-
id: 149971
{'charpoly_factorization': [[[576, -2016, 7008, -216, 88, 2, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 79}
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id: 149972
{'charpoly_factorization': [[[6561, 2187, 1944, -567, 198, -15, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 83}
-
id: 149973
{'charpoly_factorization': [[[3, 1], 6]], 'hecke_orbit_code': 4503874538831917, 'p': 89}
-
id: 149974
{'charpoly_factorization': [[[1700416, -46944, 24768, -1960, 360, -18, 1], 1]], 'hecke_orbit_code': 4503874538831917, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '45.2.e.b', 'level': 45, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 85106000
{'hecke_orbit_code': 4503874538831917, 'n': 1, 'trace_an': 6}
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id: 85106001
{'hecke_orbit_code': 4503874538831917, 'n': 2, 'trace_an': -1}
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id: 85106002
{'hecke_orbit_code': 4503874538831917, 'n': 3, 'trace_an': 1}
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id: 85106003
{'hecke_orbit_code': 4503874538831917, 'n': 4, 'trace_an': -5}
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id: 85106004
{'hecke_orbit_code': 4503874538831917, 'n': 5, 'trace_an': -3}
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id: 85106005
{'hecke_orbit_code': 4503874538831917, 'n': 6, 'trace_an': -4}
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id: 85106006
{'hecke_orbit_code': 4503874538831917, 'n': 7, 'trace_an': -5}
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id: 85106007
{'hecke_orbit_code': 4503874538831917, 'n': 8, 'trace_an': 6}
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id: 85106008
{'hecke_orbit_code': 4503874538831917, 'n': 9, 'trace_an': -7}
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id: 85106009
{'hecke_orbit_code': 4503874538831917, 'n': 10, 'trace_an': 2}
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id: 85106010
{'hecke_orbit_code': 4503874538831917, 'n': 11, 'trace_an': 2}
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id: 85106011
{'hecke_orbit_code': 4503874538831917, 'n': 12, 'trace_an': 17}
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id: 85106012
{'hecke_orbit_code': 4503874538831917, 'n': 13, 'trace_an': -4}
-
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id: 85106997
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id: 85106998
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id: 85106999
{'hecke_orbit_code': 4503874538831917, 'n': 1000, 'trace_an': 6}