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mf_newforms • Show schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4608, 1, [3583, 2053, 4097], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [2, -4, 1]], [7, [2, -4, 1]], [11, [-2, 1]], [17, [-28, -4, 1]], [23, [8, 8, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698857472, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4608.2.a.r', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '1536.2.a.b', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(2+\\beta )q^{5}+(2-\\beta )q^{7}+2q^{11}+2\\beta q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4608.2.a', 'trace_display': [0, 0, 4, 4], 'trace_hash': 1312526666428280606, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.060', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.945', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.236', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.369', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 22, 10], [[[2, 1], [3, -1]], 26, 11], [[[2, -1], [3, 1]], 16, 4], [[[2, 1], [3, 1]], 16, 4]], 'ALdims': [16, 26, 16, 22], 'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4608, 1, [3583, 2053, 4097], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 705, 'dim': 80, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17, 23], 'hecke_orbit_code': 33559040, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '4608.2.a', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 832, 'mf_new_dim': 80, 'num_forms': 29, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 1536, 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mf_twists_cc • Show schema
Hide schema
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id: 48099857
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698857472, 'target_is_minimal': False, 'target_label': '4608.2.a.r.1.2', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48099858
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660926464, 'target_is_minimal': True, 'target_label': '1536.2.a.b.1.1', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48099859
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189375488, 'target_is_minimal': False, 'target_label': '4608.2.a.n.1.2', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48099860
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33559040, 'target_is_minimal': False, 'target_label': '4608.2.a.a.1.1', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48099861
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543041024, 'target_is_minimal': False, 'target_label': '4608.2.a.e.1.1', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48099862
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778944, 'target_is_minimal': True, 'target_label': '1536.2.a.g.1.1', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48099863
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050600975176192, 'target_is_minimal': False, 'target_label': '4608.2.d.o.2305.1', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48099864
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007405446730240, 'target_is_minimal': False, 'target_label': '4608.2.d.c.2305.4', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48099865
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050600975176192, 'target_is_minimal': False, 'target_label': '4608.2.d.o.2305.4', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48099866
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446730240, 'target_is_minimal': False, 'target_label': '4608.2.d.c.2305.1', 'target_level': 4608, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48099867
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934631424, 'target_is_minimal': True, 'target_label': '1536.2.a.l.1.2', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48099868
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543037952, 'target_is_minimal': True, 'target_label': '1536.2.a.e.1.2', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48099869
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 206191986176, 'target_is_minimal': False, 'target_label': '1536.2.d.a.769.3', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48099870
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838656, 'target_is_minimal': False, 'target_label': '1536.2.d.f.769.1', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48099871
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206191986176, 'target_is_minimal': False, 'target_label': '1536.2.d.a.769.2', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48099872
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 76561193698857472, 'source_is_minimal': False, 'source_label': '4608.2.a.r.1.2', 'source_level': 4608, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518204328838656, 'target_is_minimal': False, 'target_label': '1536.2.d.f.769.4', 'target_level': 1536, 'twist_class_label': '1536.2.a.b.1.1', 'twist_class_level': 1536, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3650100
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 76561193698857472, 'p': 2}
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id: 3650101
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 76561193698857472, 'p': 3}
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id: 3650102
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 5}
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id: 3650103
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 7}
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id: 3650104
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 76561193698857472, 'p': 11}
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id: 3650105
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 13}
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id: 3650106
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 17}
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id: 3650107
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 19}
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id: 3650108
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 23}
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id: 3650109
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 29}
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id: 3650110
{'charpoly_factorization': [[[34, -12, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 31}
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id: 3650111
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 37}
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id: 3650112
{'charpoly_factorization': [[[4, -12, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 41}
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id: 3650113
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 43}
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id: 3650114
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 47}
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id: 3650115
{'charpoly_factorization': [[[-94, -4, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 53}
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id: 3650116
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 76561193698857472, 'p': 59}
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id: 3650117
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 61}
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id: 3650118
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 76561193698857472, 'p': 67}
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id: 3650119
{'charpoly_factorization': [[[136, 24, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 71}
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id: 3650120
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 73}
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id: 3650121
{'charpoly_factorization': [[[82, -20, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 79}
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id: 3650122
{'charpoly_factorization': [[[-124, 4, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 83}
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id: 3650123
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 76561193698857472, 'p': 89}
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id: 3650124
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 76561193698857472, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '4608.2.a.r', 'level': 4608, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 241497000
{'hecke_orbit_code': 76561193698857472, 'n': 1, 'trace_an': 2}
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id: 241497001
{'hecke_orbit_code': 76561193698857472, 'n': 2, 'trace_an': 0}
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id: 241497002
{'hecke_orbit_code': 76561193698857472, 'n': 3, 'trace_an': 0}
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id: 241497003
{'hecke_orbit_code': 76561193698857472, 'n': 4, 'trace_an': 0}
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id: 241497004
{'hecke_orbit_code': 76561193698857472, 'n': 5, 'trace_an': 4}
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id: 241497005
{'hecke_orbit_code': 76561193698857472, 'n': 6, 'trace_an': 0}
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id: 241497006
{'hecke_orbit_code': 76561193698857472, 'n': 7, 'trace_an': 4}
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id: 241497007
{'hecke_orbit_code': 76561193698857472, 'n': 8, 'trace_an': 0}
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id: 241497008
{'hecke_orbit_code': 76561193698857472, 'n': 9, 'trace_an': 0}
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id: 241497009
{'hecke_orbit_code': 76561193698857472, 'n': 10, 'trace_an': 0}
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