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mf_newforms • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [961, 5, [3], [4]], 'cm_discs': [], 'conrey_index': 374, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 2, 4, 3, 1]], [3, [1, 1, 1, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819356097, '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, 31, 4, 1, 5, 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': False, 'label': '961.2.d.b', 'level': 961, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [31], 'level_radical': 31, 'minimal_twist': '31.2.d.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(-1-\\zeta_{10}^{2})q^{2}+(-1+\\zeta_{10}-\\zeta_{10}^{2}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '961.2.d', 'trace_display': [-3, -1, -6, -3], 'trace_hash': 807665038576849838, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.972', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.569', 'prec': 17}, {'__RealLiteral__': 0, 'data': '47.447', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 3844, 'analytic_conductor': 7.673623634245045, 'char_conductor': 31, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [961, 5, [3], [4]], 'conrey_index': 374, 'cusp_dim': 264, 'dim': 256, 'eis_dim': 128, 'eis_new_dim': 112, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 206191985601, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 12, 16, 16, 16, 16, 48, 64], 'label': '961.2.d', 'level': 961, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [31], 'level_radical': 31, 'mf_dim': 392, 'mf_new_dim': 368, 'num_forms': 19, 'prim_orbit_index': 4, 'relative_dim': 64, 'sturm_bound': 165, 'trace_bound': 4, 'trace_display': [3, -1, 6, 3], 'traces': [256, 3, -1, -53, 6, 2, 3, 2, -37, -5, 2, -2, -6, -9, -1, -29, 3, -6, 5, 4, -3, 6, -11, -5, 26, 12, 5, 3, 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mf_twists_cc • Show schema
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id: 34892756
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 628, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356097, 'target_is_minimal': False, 'target_label': '961.2.d.b.628.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 34892757
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037377, 'target_is_minimal': False, 'target_label': '961.2.a.e.1.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 34892758
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.816.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 34892759
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 531, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819356097, 'target_is_minimal': False, 'target_label': '961.2.d.b.531.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 34892760
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.448.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 34892761
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.846.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 34892762
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.547.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 34892763
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467585, 'target_is_minimal': False, 'target_label': '961.2.d.e.388.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 34892764
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.338.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 34892765
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620353, 'target_is_minimal': False, 'target_label': '961.2.c.d.521.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 34892766
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.844.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 34892767
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361345, 'target_is_minimal': False, 'target_label': '961.2.c.f.439.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 34892768
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.732.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.13', 'twisting_conrey_index': 13, 'weight': 2}
-
id: 34892769
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.235.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 34892770
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838081, 'target_is_minimal': False, 'target_label': '961.2.d.f.374.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 34892771
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 374, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014604701467585, 'target_is_minimal': False, 'target_label': '961.2.d.e.374.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 34892772
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.235.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 34892773
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 732, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.732.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.18', 'twisting_conrey_index': 18, 'weight': 2}
-
id: 34892774
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 439, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620353, 'target_is_minimal': False, 'target_label': '961.2.c.d.439.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.19', 'twisting_conrey_index': 19, 'weight': 2}
-
id: 34892775
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.844.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 34892776
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 521, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361345, 'target_is_minimal': False, 'target_label': '961.2.c.f.521.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 34892777
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 338, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487268289, 'target_is_minimal': False, 'target_label': '961.2.g.f.338.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 34892778
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 388, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838081, 'target_is_minimal': False, 'target_label': '961.2.d.f.388.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.23', 'twisting_conrey_index': 23, 'weight': 2}
-
id: 34892779
{'conductor': 31, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 547, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.547.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 34892780
{'conductor': 31, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 846, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156801, 'target_is_minimal': False, 'target_label': '961.2.g.c.846.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 34892781
{'conductor': 31, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 448, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977786305, 'target_is_minimal': False, 'target_label': '961.2.g.b.448.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 34892782
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 4, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984671, 'target_is_minimal': True, 'target_label': '31.2.d.a.4.1', 'target_level': 31, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 34892783
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 816, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638785, 'target_is_minimal': False, 'target_label': '961.2.g.g.816.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 34892784
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666881, 'target_is_minimal': False, 'target_label': '961.2.a.d.1.1', 'target_level': 961, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.29', 'twisting_conrey_index': 29, 'weight': 2}
-
id: 34892785
{'conductor': 31, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 8, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191984671, 'target_is_minimal': True, 'target_label': '31.2.d.a.8.1', 'target_level': 31, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '31.30', 'twisting_conrey_index': 30, 'weight': 2}
-
id: 34892786
{'conductor': 93, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170415561, 'target_is_minimal': False, 'target_label': '8649.2.a.f.1.2', 'target_level': 8649, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '93.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34892787
{'conductor': 93, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797786057, 'target_is_minimal': False, 'target_label': '8649.2.a.g.1.2', 'target_level': 8649, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '93.29', 'twisting_conrey_index': 29, 'weight': 2}
-
id: 34892788
{'conductor': 93, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 190, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368599, 'target_is_minimal': False, 'target_label': '279.2.i.a.190.1', 'target_level': 279, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '93.89', 'twisting_conrey_index': 89, 'weight': 2}
-
id: 34892789
{'conductor': 93, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 163, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368599, 'target_is_minimal': False, 'target_label': '279.2.i.a.163.1', 'target_level': 279, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '93.92', 'twisting_conrey_index': 92, 'weight': 2}
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id: 34892790
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122992, 'target_is_minimal': False, 'target_label': '496.2.n.b.97.1', 'target_level': 496, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '124.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 34892791
{'conductor': 124, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 225, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504493014122992, 'target_is_minimal': False, 'target_label': '496.2.n.b.225.1', 'target_level': 496, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '124.123', 'twisting_conrey_index': 123, 'weight': 2}
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id: 34892792
{'conductor': 155, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 624, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.624.2', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 34892793
{'conductor': 155, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 624, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.624.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 34892794
{'conductor': 155, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 376, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063559, 'target_is_minimal': False, 'target_label': '775.2.k.c.376.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.89', 'twisting_conrey_index': 89, 'weight': 2}
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id: 34892795
{'conductor': 155, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.349.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.92', 'twisting_conrey_index': 92, 'weight': 2}
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id: 34892796
{'conductor': 155, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2130337334023, 'target_is_minimal': False, 'target_label': '775.2.bf.a.349.2', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.123', 'twisting_conrey_index': 123, 'weight': 2}
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id: 34892797
{'conductor': 155, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 628, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819356097, 'source_is_minimal': False, 'source_label': '961.2.d.b.628.1', 'source_level': 961, 'target_conrey_index': 101, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063559, 'target_is_minimal': False, 'target_label': '775.2.k.c.101.1', 'target_level': 775, 'twist_class_label': '31.2.d.a.4.1', 'twist_class_level': 31, 'twisting_char_label': '155.154', 'twisting_conrey_index': 154, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1540800
{'charpoly_factorization': [[[1, 2, 4, 3, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 2}
-
id: 1540801
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 3}
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id: 1540802
{'charpoly_factorization': [[[1, 3, 1], 2]], 'hecke_orbit_code': 4503805819356097, 'p': 5}
-
id: 1540803
{'charpoly_factorization': [[[81, 27, 9, 3, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 7}
-
id: 1540804
{'charpoly_factorization': [[[16, 32, 24, -2, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 11}
-
id: 1540805
{'charpoly_factorization': [[[81, 81, 36, 6, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 13}
-
id: 1540806
{'charpoly_factorization': [[[1, -7, 19, -3, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 17}
-
id: 1540807
{'charpoly_factorization': [[[625, 125, 25, 5, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 19}
-
id: 1540808
{'charpoly_factorization': [[[361, 171, 61, 11, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 23}
-
id: 1540809
{'charpoly_factorization': [[[3025, 550, 60, 5, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 29}
-
id: 1540810
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503805819356097, 'p': 31}
-
id: 1540811
{'charpoly_factorization': [[[-1, -4, 1], 2]], 'hecke_orbit_code': 4503805819356097, 'p': 37}
-
id: 1540812
{'charpoly_factorization': [[[256, -192, 64, -8, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 41}
-
id: 1540813
{'charpoly_factorization': [[[121, 66, 16, 1, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 43}
-
id: 1540814
{'charpoly_factorization': [[[361, -38, 24, -7, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 47}
-
id: 1540815
{'charpoly_factorization': [[[81, 81, 171, 21, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 53}
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id: 1540816
{'charpoly_factorization': [[[25, 75, 85, -5, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 59}
-
id: 1540817
{'charpoly_factorization': [[[-76, 4, 1], 2]], 'hecke_orbit_code': 4503805819356097, 'p': 61}
-
id: 1540818
{'charpoly_factorization': [[[-1, 4, 1], 2]], 'hecke_orbit_code': 4503805819356097, 'p': 67}
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id: 1540819
{'charpoly_factorization': [[[1, 18, 124, 7, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 71}
-
id: 1540820
{'charpoly_factorization': [[[9801, 2376, 306, 21, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 73}
-
id: 1540821
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503805819356097, 'p': 79}
-
id: 1540822
{'charpoly_factorization': [[[841, -319, 96, -14, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 83}
-
id: 1540823
{'charpoly_factorization': [[[3025, 550, 60, 5, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 89}
-
id: 1540824
{'charpoly_factorization': [[[9801, -2673, 279, 3, 1], 1]], 'hecke_orbit_code': 4503805819356097, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '961.2.d.b', 'level': 961, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 21549427
{'hecke_orbit_code': 4503805819356097, 'n': 1, 'trace_an': 4}
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id: 21549428
{'hecke_orbit_code': 4503805819356097, 'n': 2, 'trace_an': -3}
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id: 21549429
{'hecke_orbit_code': 4503805819356097, 'n': 3, 'trace_an': -1}
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id: 21549430
{'hecke_orbit_code': 4503805819356097, 'n': 4, 'trace_an': 3}
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id: 21549431
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