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mf_newforms • Show schema
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{'Nk2': 3920, 'analytic_conductor': 1.9563348495213695, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 980, 'char_degree': 12, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 133, 'char_orbit_label': 'fc', 'char_order': 42, 'char_parity': -1, 'char_values': [3920, 42, [1471, 981, 3137, 3041], [21, 42, 21, 16]], 'cm_discs': [-20], 'conrey_index': 319, 'dim': 24, 'field_disc': 711435861303500483618465120256, 'field_disc_factorization': [[2, 24], [3, 12], [7, 20]], 'field_poly': [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 84, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 9070987710288, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3920, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.9563348495213695, 'char_conductor': 980, 'char_degree': 12, 'char_is_real': False, 'char_orbit_index': 133, 'char_orbit_label': 'fc', 'char_order': 42, 'char_parity': -1, 'char_values': [3920, 42, [1471, 981, 3137, 3041], [21, 42, 21, 16]], 'conrey_index': 319, 'cusp_dim': 96, 'dihedral_dim': 24, 'dim': 24, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_orbit_code': 9070987710288, 'hecke_orbit_dims': [24], 'label': '3920.1.fc', 'level': 3920, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 240, 'mf_new_dim': 24, 'num_forms': 1, 'prim_orbit_index': 43, 'relative_dim': 2, 's4_dim': 0, 'sturm_bound': 672, 'trace_bound': 0, 'trace_display': [0, 0, -2, 0], 'traces': [24, 0, 0, 0, -2, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -12, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -2, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -10, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 16, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -14, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -2, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -14, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -6, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 33754013
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 879, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9070987710288, 'source_is_minimal': True, 'source_label': '3920.1.fc.a.879.1', 'source_level': 3920, 'target_conrey_index': 879, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9070987710288, 'target_is_minimal': True, 'target_label': '3920.1.fc.a.879.1', 'target_level': 3920, 'twist_class_label': '3920.1.fc.a.879.1', 'twist_class_level': 3920, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 33754014
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 879, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9070987710288, 'source_is_minimal': True, 'source_label': '3920.1.fc.a.879.1', 'source_level': 3920, 'target_conrey_index': 879, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9070987710288, 'target_is_minimal': True, 'target_label': '3920.1.fc.a.879.2', 'target_level': 3920, 'twist_class_label': '3920.1.fc.a.879.1', 'twist_class_level': 3920, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 33754015
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 879, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9070987710288, 'source_is_minimal': True, 'source_label': '3920.1.fc.a.879.1', 'source_level': 3920, 'target_conrey_index': 879, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9070987710288, 'target_is_minimal': True, 'target_label': '3920.1.fc.a.879.2', 'target_level': 3920, 'twist_class_label': '3920.1.fc.a.879.1', 'twist_class_level': 3920, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 33754016
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 879, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9070987710288, 'source_is_minimal': True, 'source_label': '3920.1.fc.a.879.1', 'source_level': 3920, 'target_conrey_index': 879, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9070987710288, 'target_is_minimal': True, 'target_label': '3920.1.fc.a.879.1', 'target_level': 3920, 'twist_class_label': '3920.1.fc.a.879.1', 'twist_class_level': 3920, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 1}
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id: 33754017
{'conductor': 49, 'degree': 12, 'order': 21, 'parity': 1, 'source_conrey_index': 879, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9070987710288, 'source_is_minimal': True, 'source_label': '3920.1.fc.a.879.1', 'source_level': 3920, 'target_conrey_index': 2319, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9070987710288, 'target_is_minimal': True, 'target_label': '3920.1.fc.a.2319.1', 'target_level': 3920, 'twist_class_label': '3920.1.fc.a.879.1', 'twist_class_level': 3920, 'twisting_char_label': '49.16', 'twisting_conrey_index': 16, 'weight': 1}
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id: 33754018
{'conductor': 196, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 879, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9070987710288, 'source_is_minimal': True, 'source_label': '3920.1.fc.a.879.1', 'source_level': 3920, 'target_conrey_index': 2319, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9070987710288, 'target_is_minimal': True, 'target_label': '3920.1.fc.a.2319.2', 'target_level': 3920, 'twist_class_label': '3920.1.fc.a.879.1', 'twist_class_level': 3920, 'twisting_char_label': '196.163', 'twisting_conrey_index': 163, 'weight': 1}
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id: 33754019
{'conductor': 245, 'degree': 12, 'order': 42, 'parity': 1, 'source_conrey_index': 879, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9070987710288, 'source_is_minimal': True, 'source_label': '3920.1.fc.a.879.1', 'source_level': 3920, 'target_conrey_index': 2319, 'target_dim': 24, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9070987710288, 'target_is_minimal': True, 'target_label': '3920.1.fc.a.2319.2', 'target_level': 3920, 'twist_class_label': '3920.1.fc.a.879.1', 'twist_class_level': 3920, 'twisting_char_label': '245.114', 'twisting_conrey_index': 114, 'weight': 1}
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id: 33754020
{'conductor': 980, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 879, 'source_dim': 24, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9070987710288, 'source_is_minimal': True, 'source_label': '3920.1.fc.a.879.1', 'source_level': 3920, 'target_conrey_index': 2319, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9070987710288, 'target_is_minimal': True, 'target_label': '3920.1.fc.a.2319.1', 'target_level': 3920, 'twist_class_label': '3920.1.fc.a.879.1', 'twist_class_level': 3920, 'twisting_char_label': '980.359', 'twisting_conrey_index': 359, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3429300
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 2}
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id: 3429301
{'charpoly_factorization': [[[1, 0, 16, 0, 126, 0, 62, 0, 957, 0, -84, 0, -713, 0, 378, 0, 108, 0, -134, 0, 49, 0, -10, 0, 1], 1]], 'hecke_orbit_code': 9070987710288, 'p': 3}
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id: 3429302
{'charpoly_factorization': [[[1, 1, 0, -1, -1, 0, 1, 0, -1, -1, 0, 1, 1], 2]], 'hecke_orbit_code': 9070987710288, 'p': 5}
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id: 3429303
{'charpoly_factorization': [[[1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1], 1]], 'hecke_orbit_code': 9070987710288, 'p': 7}
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id: 3429304
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 11}
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id: 3429305
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 13}
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id: 3429306
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 17}
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id: 3429307
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 19}
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id: 3429308
{'charpoly_factorization': [[[1, 0, -5, 0, 105, 0, 363, 0, 663, 0, -728, 0, 610, 0, -427, 0, 24, 0, 83, 0, -14, 0, -3, 0, 1], 1]], 'hecke_orbit_code': 9070987710288, 'p': 23}
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id: 3429309
{'charpoly_factorization': [[[1, 12, 45, 10, 61, 92, 105, 92, 68, 38, 17, 5, 1], 2]], 'hecke_orbit_code': 9070987710288, 'p': 29}
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id: 3429310
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 31}
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id: 3429311
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 37}
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id: 3429312
{'charpoly_factorization': [[[1, -5, 52, -94, 54, 6, 7, 6, 12, 4, 3, 2, 1], 2]], 'hecke_orbit_code': 9070987710288, 'p': 41}
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id: 3429313
{'charpoly_factorization': [[[1, 0, -11, 0, 96, 0, 234, 0, 1284, 0, 1978, 0, 1519, 0, 716, 0, 258, 0, 38, 0, 13, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 9070987710288, 'p': 43}
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id: 3429314
{'charpoly_factorization': [[[2401, 0, -2401, 0, -2401, 0, -1372, 0, 7889, 0, -3430, 0, 1323, 0, -49, 0, -98, 0, 70, 0, 0, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9070987710288, 'p': 47}
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id: 3429315
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 53}
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id: 3429316
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 59}
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id: 3429317
{'charpoly_factorization': [[[1, -8, 28, 71, 48, -21, 22, 0, -15, 1, 0, -1, 1], 2]], 'hecke_orbit_code': 9070987710288, 'p': 61}
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id: 3429318
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 6]], 'hecke_orbit_code': 9070987710288, 'p': 67}
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id: 3429319
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 71}
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id: 3429320
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 73}
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id: 3429321
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 79}
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id: 3429322
{'charpoly_factorization': [[[1, 0, -11, 0, 96, 0, 234, 0, 1284, 0, 1978, 0, 1519, 0, 716, 0, 258, 0, 38, 0, 13, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 9070987710288, 'p': 83}
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id: 3429323
{'charpoly_factorization': [[[1, 8, 28, -71, 48, 21, 22, 0, -15, -1, 0, 1, 1], 2]], 'hecke_orbit_code': 9070987710288, 'p': 89}
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id: 3429324
{'charpoly_factorization': [[[0, 1], 24]], 'hecke_orbit_code': 9070987710288, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 133, 'hecke_orbit': 1, 'label': '3920.1.fc.a', 'level': 3920, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 15931050
{'hecke_orbit_code': 9070987710288, 'n': 1, 'trace_an': 24}
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id: 15931051
{'hecke_orbit_code': 9070987710288, 'n': 2, 'trace_an': 0}
-
id: 15931052
{'hecke_orbit_code': 9070987710288, 'n': 3, 'trace_an': 0}
-
id: 15931053
{'hecke_orbit_code': 9070987710288, 'n': 4, 'trace_an': 0}
-
id: 15931054
{'hecke_orbit_code': 9070987710288, 'n': 5, 'trace_an': -2}
-
id: 15931055
{'hecke_orbit_code': 9070987710288, 'n': 6, 'trace_an': 0}
-
id: 15931056
{'hecke_orbit_code': 9070987710288, 'n': 7, 'trace_an': 0}
-
id: 15931057
{'hecke_orbit_code': 9070987710288, 'n': 8, 'trace_an': 0}
-
id: 15931058
{'hecke_orbit_code': 9070987710288, 'n': 9, 'trace_an': 18}
-
id: 15931059
{'hecke_orbit_code': 9070987710288, 'n': 10, 'trace_an': 0}
-
id: 15931060
{'hecke_orbit_code': 9070987710288, 'n': 11, 'trace_an': 0}
-
id: 15931061
{'hecke_orbit_code': 9070987710288, 'n': 12, 'trace_an': 0}
-
id: 15931062
{'hecke_orbit_code': 9070987710288, 'n': 13, 'trace_an': 0}
-
id: 15931063
{'hecke_orbit_code': 9070987710288, 'n': 14, 'trace_an': 0}
-
id: 15931064
{'hecke_orbit_code': 9070987710288, 'n': 15, 'trace_an': 0}
-
id: 15931065
{'hecke_orbit_code': 9070987710288, 'n': 16, 'trace_an': 0}
-
id: 15931066
{'hecke_orbit_code': 9070987710288, 'n': 17, 'trace_an': 0}
-
id: 15931067
{'hecke_orbit_code': 9070987710288, 'n': 18, 'trace_an': 0}
-
id: 15931068
{'hecke_orbit_code': 9070987710288, 'n': 19, 'trace_an': 0}
-
id: 15931069
{'hecke_orbit_code': 9070987710288, 'n': 20, 'trace_an': 0}
-
id: 15931070
{'hecke_orbit_code': 9070987710288, 'n': 21, 'trace_an': 6}
-
id: 15931071
{'hecke_orbit_code': 9070987710288, 'n': 22, 'trace_an': 0}
-
id: 15931072
{'hecke_orbit_code': 9070987710288, 'n': 23, 'trace_an': 0}
-
id: 15931073
{'hecke_orbit_code': 9070987710288, 'n': 24, 'trace_an': 0}
-
id: 15931074
{'hecke_orbit_code': 9070987710288, 'n': 25, 'trace_an': 2}
-
id: 15931075
{'hecke_orbit_code': 9070987710288, 'n': 26, 'trace_an': 0}
-
id: 15931076
{'hecke_orbit_code': 9070987710288, 'n': 27, 'trace_an': 0}
-
id: 15931077
{'hecke_orbit_code': 9070987710288, 'n': 28, 'trace_an': 0}
-
id: 15931078
{'hecke_orbit_code': 9070987710288, 'n': 29, 'trace_an': -10}
-
id: 15931079
{'hecke_orbit_code': 9070987710288, 'n': 30, 'trace_an': 0}
-
id: 15931080
{'hecke_orbit_code': 9070987710288, 'n': 31, 'trace_an': 0}
-
id: 15931081
{'hecke_orbit_code': 9070987710288, 'n': 32, 'trace_an': 0}
-
id: 15931082
{'hecke_orbit_code': 9070987710288, 'n': 33, 'trace_an': 0}
-
id: 15931083
{'hecke_orbit_code': 9070987710288, 'n': 34, 'trace_an': 0}
-
id: 15931084
{'hecke_orbit_code': 9070987710288, 'n': 35, 'trace_an': 0}
-
id: 15931085
{'hecke_orbit_code': 9070987710288, 'n': 36, 'trace_an': 0}
-
id: 15931086
{'hecke_orbit_code': 9070987710288, 'n': 37, 'trace_an': 0}
-
id: 15931087
{'hecke_orbit_code': 9070987710288, 'n': 38, 'trace_an': 0}
-
id: 15931088
{'hecke_orbit_code': 9070987710288, 'n': 39, 'trace_an': 0}
-
id: 15931089
{'hecke_orbit_code': 9070987710288, 'n': 40, 'trace_an': 0}
-
id: 15931090
{'hecke_orbit_code': 9070987710288, 'n': 41, 'trace_an': -4}
-
id: 15931091
{'hecke_orbit_code': 9070987710288, 'n': 42, 'trace_an': 0}
-
id: 15931092
{'hecke_orbit_code': 9070987710288, 'n': 43, 'trace_an': 0}
-
id: 15931093
{'hecke_orbit_code': 9070987710288, 'n': 44, 'trace_an': 0}
-
id: 15931094
{'hecke_orbit_code': 9070987710288, 'n': 45, 'trace_an': -4}
-
id: 15931095
{'hecke_orbit_code': 9070987710288, 'n': 46, 'trace_an': 0}
-
id: 15931096
{'hecke_orbit_code': 9070987710288, 'n': 47, 'trace_an': 0}
-
id: 15931097
{'hecke_orbit_code': 9070987710288, 'n': 48, 'trace_an': 0}
-
id: 15931098
{'hecke_orbit_code': 9070987710288, 'n': 49, 'trace_an': -2}
-
id: 15931099
{'hecke_orbit_code': 9070987710288, 'n': 50, 'trace_an': 0}
-
id: 15931100
{'hecke_orbit_code': 9070987710288, 'n': 51, 'trace_an': 0}
-
id: 15931101
{'hecke_orbit_code': 9070987710288, 'n': 52, 'trace_an': 0}
-
id: 15931102
{'hecke_orbit_code': 9070987710288, 'n': 53, 'trace_an': 0}
-
id: 15931103
{'hecke_orbit_code': 9070987710288, 'n': 54, 'trace_an': 0}
-
id: 15931104
{'hecke_orbit_code': 9070987710288, 'n': 55, 'trace_an': 0}
-
id: 15931105
{'hecke_orbit_code': 9070987710288, 'n': 56, 'trace_an': 0}
-
id: 15931106
{'hecke_orbit_code': 9070987710288, 'n': 57, 'trace_an': 0}
-
id: 15931107
{'hecke_orbit_code': 9070987710288, 'n': 58, 'trace_an': 0}
-
id: 15931108
{'hecke_orbit_code': 9070987710288, 'n': 59, 'trace_an': 0}
-
id: 15931109
{'hecke_orbit_code': 9070987710288, 'n': 60, 'trace_an': 0}
-
id: 15931110
{'hecke_orbit_code': 9070987710288, 'n': 61, 'trace_an': 2}
-
id: 15931111
{'hecke_orbit_code': 9070987710288, 'n': 62, 'trace_an': 0}
-
id: 15931112
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