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mf_newforms • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 91, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 6, 'char_parity': 1, 'char_values': [637, 6, [248, 197], [2, 1]], 'cm_discs': [], 'conrey_index': 30, 'conrey_indexes': [30, 361], 'dim': 4, 'field_disc': 441, 'field_disc_factorization': [[3, 2], [7, 2]], 'field_poly': [4, -2, -1, -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, [1, -3, 2, 3, 1]], [3, [-5, -1, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015772932571773, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 91, 21, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '637.2.u.e', 'level': 637, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'minimal_twist': '637.2.q.e', 'nf_label': '4.0.441.1', 'prim_orbit_index': 21, 'qexp_display': 'q+(-1+\\beta _{3})q^{2}+(\\beta _{1}+\\beta _{3})q^{3}+(\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '637.2.u', 'trace_display': [-3, 2, 3, 0], 'trace_hash': 1003383957729687654, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.913', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.539', 'prec': 17}, {'__RealLiteral__': 0, 'data': '56.294', 'prec': 20}, {'__RealLiteral__': 0, 'data': '38.550', 'prec': 20}, 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mf_hecke_cc • Show schema
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'embedding_root_real': -0.89564392373896, 'hecke_orbit': 5, 'hecke_orbit_code': 18015772932571773, 'label': '637.2.u.e.361.1', 'level': 637, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'char_conductor': 91, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 6, 'char_parity': 1, 'char_values': [637, 6, [248, 197], [2, 1]], 'conrey_index': 30, 'cusp_dim': 114, 'dim': 86, 'eis_dim': 32, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 1374423089789, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 12, 12, 12, 32], 'label': '637.2.u', 'level': 637, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'mf_dim': 146, 'mf_new_dim': 102, 'num_forms': 10, 'prim_orbit_index': 21, 'relative_dim': 43, 'sturm_bound': 130, 'trace_bound': 5, 'trace_display': [3, -4, 0, 0], 'traces': [86, 3, -4, 39, 0, 6, 0, 0, 82, 18, 0, 2, 4, 0, -15, -29, -11, -51, 0, 6, 0, 0, -5, 0, 35, 12, -22, 0, -2, -52, 15, -9, 0, 0, 0, 37, 27, -16, 27, 4, 15, 0, -22, 48, 3, 42, 0, -14, 0, 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-76, 0, -41, -61, 0, 6, 0, -222, 124, 91, -207, 0, -305, -114, 0, -76, 62, 0, 0, -66, 303, 22, 798, 15, -294], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44616613
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015772932571773, 'target_is_minimal': False, 'target_label': '637.2.u.e.361.1', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44616614
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 569, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511486110433917, 'target_is_minimal': False, 'target_label': '637.2.k.d.569.2', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44616615
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 491, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519097682035325, 'target_is_minimal': True, 'target_label': '637.2.q.f.491.2', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44616616
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 491, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015498054664829, 'target_is_minimal': True, 'target_label': '637.2.q.e.491.2', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44616617
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 569, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518685365174909, 'target_is_minimal': False, 'target_label': '637.2.k.f.569.2', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44616618
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512173305201277, 'target_is_minimal': False, 'target_label': '637.2.u.d.361.1', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 44616619
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 459, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511486110433917, 'target_is_minimal': False, 'target_label': '637.2.k.d.459.1', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44616620
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 589, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015498054664829, 'target_is_minimal': True, 'target_label': '637.2.q.e.589.2', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '91.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44616621
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 198158383637864537, 'target_is_minimal': False, 'target_label': '8281.2.a.bs.1.1', 'target_level': 8281, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '91.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44616622
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 589, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519097682035325, 'target_is_minimal': True, 'target_label': '637.2.q.f.589.2', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '91.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 44616623
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383123545, 'target_is_minimal': False, 'target_label': '8281.2.a.bq.1.1', 'target_level': 8281, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '91.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 44616624
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 30, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015772932571773, 'target_is_minimal': False, 'target_label': '637.2.u.e.30.1', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '91.30', 'twisting_conrey_index': 30, 'weight': 2}
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id: 44616625
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 198158383637864537, 'target_is_minimal': False, 'target_label': '8281.2.a.bs.1.4', 'target_level': 8281, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '91.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 44616626
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 459, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518685365174909, 'target_is_minimal': False, 'target_label': '637.2.k.f.459.1', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '91.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 44616627
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 189151184383123545, 'target_is_minimal': False, 'target_label': '8281.2.a.bq.1.4', 'target_level': 8281, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '91.80', 'twisting_conrey_index': 80, 'weight': 2}
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id: 44616628
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 361, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18015772932571773, 'source_is_minimal': False, 'source_label': '637.2.u.e.361.1', 'source_level': 637, 'target_conrey_index': 30, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512173305201277, 'target_is_minimal': False, 'target_label': '637.2.u.d.30.1', 'target_level': 637, 'twist_class_label': '637.2.q.e.491.2', 'twist_class_level': 637, 'twisting_char_label': '91.82', 'twisting_conrey_index': 82, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1148800
{'charpoly_factorization': [[[1, -3, 2, 3, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 2}
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id: 1148801
{'charpoly_factorization': [[[-5, -1, 1], 2]], 'hecke_orbit_code': 18015772932571773, 'p': 3}
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id: 1148802
{'charpoly_factorization': [[[1, 3, 2, -3, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 5}
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id: 1148803
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015772932571773, 'p': 7}
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id: 1148804
{'charpoly_factorization': [[[25, 0, 17, 0, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 11}
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id: 1148805
{'charpoly_factorization': [[[13, -7, 1], 2]], 'hecke_orbit_code': 18015772932571773, 'p': 13}
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id: 1148806
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 18015772932571773, 'p': 17}
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id: 1148807
{'charpoly_factorization': [[[81, 0, 45, 0, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 19}
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id: 1148808
{'charpoly_factorization': [[[144, -72, 48, 6, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 23}
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id: 1148809
{'charpoly_factorization': [[[225, -135, 66, -9, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 29}
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id: 1148810
{'charpoly_factorization': [[[75, -15, 1], 2]], 'hecke_orbit_code': 18015772932571773, 'p': 31}
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id: 1148811
{'charpoly_factorization': [[[48, 12, 1], 2]], 'hecke_orbit_code': 18015772932571773, 'p': 37}
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id: 1148812
{'charpoly_factorization': [[[400, -360, 128, -18, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 41}
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id: 1148813
{'charpoly_factorization': [[[1681, -205, 66, 5, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 43}
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id: 1148814
{'charpoly_factorization': [[[1681, -984, 233, -24, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 47}
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id: 1148815
{'charpoly_factorization': [[[5625, 450, 111, -6, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 53}
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id: 1148816
{'charpoly_factorization': [[[11881, -654, -97, 6, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 59}
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id: 1148817
{'charpoly_factorization': [[[-188, 2, 1], 2]], 'hecke_orbit_code': 18015772932571773, 'p': 61}
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id: 1148818
{'charpoly_factorization': [[[2601, 0, 150, 0, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 67}
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id: 1148819
{'charpoly_factorization': [[[16, 24, 8, -6, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 71}
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id: 1148820
{'charpoly_factorization': [[[12, 6, 1], 2]], 'hecke_orbit_code': 18015772932571773, 'p': 73}
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id: 1148821
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 18015772932571773, 'p': 79}
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id: 1148822
{'charpoly_factorization': [[[625, 0, 62, 0, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 83}
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id: 1148823
{'charpoly_factorization': [[[2209, -1551, 410, -33, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 89}
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id: 1148824
{'charpoly_factorization': [[[12321, 4329, 618, 39, 1], 1]], 'hecke_orbit_code': 18015772932571773, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 21, 'hecke_orbit': 5, 'label': '637.2.u.e', 'level': 637, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 161174000
{'hecke_orbit_code': 18015772932571773, 'n': 1, 'trace_an': 4}
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id: 161174001
{'hecke_orbit_code': 18015772932571773, 'n': 2, 'trace_an': -3}
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id: 161174002
{'hecke_orbit_code': 18015772932571773, 'n': 3, 'trace_an': 2}
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id: 161174003
{'hecke_orbit_code': 18015772932571773, 'n': 4, 'trace_an': 1}
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