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mf_newforms • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 60, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 2, 'char_parity': 1, 'char_values': [1680, 2, [1471, 421, 1121, 337, 241], [1, 2, 1, 1, 2]], 'cm_discs': [], 'conrey_index': 239, 'dim': 12, 'field_disc': 7392122614682238976, 'field_disc_factorization': [[2, 14], [23, 2], [31, 8]], 'field_poly': [15625, 0, -5000, 0, 1375, 0, -272, 0, 55, 0, -8, 0, 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': [[11, [-92, 0, 604, 0, -49, 0, 1]], [43, [64, -40, -2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1443142567568, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': 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mf_hecke_cc • Show schema
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'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': -1.8820032358414807, 'embedding_root_real': 1.207503134688352, 'hecke_orbit': 1, 'hecke_orbit_code': 1443142567568, 'label': '1680.2.v.a.239.3', 'level': 1680, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 6720, 'analytic_conductor': 13.414867539575104, 'char_conductor': 60, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 2, 'char_parity': 1, 'char_values': [1680, 2, [1471, 421, 1121, 337, 241], [1, 2, 1, 1, 2]], 'conrey_index': 239, 'cusp_dim': 360, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 43], 'hecke_orbit_code': 1443142567568, 'hecke_orbit_dims': [12, 12, 24, 24], 'label': '1680.2.v', 'level': 1680, '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, 3, 5, 7], 'level_radical': 210, 'mf_dim': 408, 'mf_new_dim': 72, 'num_forms': 4, 'prim_orbit_index': 8, 'relative_dim': 72, 'sturm_bound': 768, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [72, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -48, 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, -168, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -24, 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, 192, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -168, 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, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 672, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 17251193
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 239, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 1443142567568, 'source_is_minimal': True, 'source_label': '1680.2.v.a.239.3', 'source_level': 1680, 'target_conrey_index': 239, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 1443142567568, 'target_is_minimal': True, 'target_label': '1680.2.v.a.239.3', 'target_level': 1680, 'twist_class_label': '1680.2.v.a.239.1', 'twist_class_level': 1680, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 17251194
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 239, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 1443142567568, 'source_is_minimal': True, 'source_label': '1680.2.v.a.239.3', 'source_level': 1680, 'target_conrey_index': 239, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1443142567568, 'target_is_minimal': True, 'target_label': '1680.2.v.a.239.2', 'target_level': 1680, 'twist_class_label': '1680.2.v.a.239.1', 'twist_class_level': 1680, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 17251195
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 239, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 1443142567568, 'source_is_minimal': True, 'source_label': '1680.2.v.a.239.3', 'source_level': 1680, 'target_conrey_index': 239, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 4505042769938064, 'target_is_minimal': True, 'target_label': '1680.2.v.b.239.9', 'target_level': 1680, 'twist_class_label': '1680.2.v.a.239.1', 'twist_class_level': 1680, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 17251196
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 239, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 1443142567568, 'source_is_minimal': True, 'source_label': '1680.2.v.a.239.3', 'source_level': 1680, 'target_conrey_index': 239, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 4505042769938064, 'target_is_minimal': True, 'target_label': '1680.2.v.b.239.10', 'target_level': 1680, 'twist_class_label': '1680.2.v.a.239.1', 'twist_class_level': 1680, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 17251197
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 239, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 1443142567568, 'source_is_minimal': True, 'source_label': '1680.2.v.a.239.3', 'source_level': 1680, 'target_conrey_index': 239, 'target_dim': 12, 'target_embedding_index': 12, 'target_hecke_orbit_code': 4505042769938064, 'target_is_minimal': True, 'target_label': '1680.2.v.b.239.12', 'target_level': 1680, 'twist_class_label': '1680.2.v.a.239.1', 'twist_class_level': 1680, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 17251198
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 239, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 1443142567568, 'source_is_minimal': True, 'source_label': '1680.2.v.a.239.3', 'source_level': 1680, 'target_conrey_index': 239, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4505042769938064, 'target_is_minimal': True, 'target_label': '1680.2.v.b.239.11', 'target_level': 1680, 'twist_class_label': '1680.2.v.a.239.1', 'twist_class_level': 1680, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 17251199
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 239, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 1443142567568, 'source_is_minimal': True, 'source_label': '1680.2.v.a.239.3', 'source_level': 1680, 'target_conrey_index': 239, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1443142567568, 'target_is_minimal': True, 'target_label': '1680.2.v.a.239.4', 'target_level': 1680, 'twist_class_label': '1680.2.v.a.239.1', 'twist_class_level': 1680, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 17251200
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 239, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 1443142567568, 'source_is_minimal': True, 'source_label': '1680.2.v.a.239.3', 'source_level': 1680, 'target_conrey_index': 239, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1443142567568, 'target_is_minimal': True, 'target_label': '1680.2.v.a.239.1', 'target_level': 1680, 'twist_class_label': '1680.2.v.a.239.1', 'twist_class_level': 1680, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2125700
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 1443142567568, 'p': 2}
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id: 2125701
{'charpoly_factorization': [[[27, 9, -3, -2, -1, 1, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 3}
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id: 2125702
{'charpoly_factorization': [[[15625, 0, -5000, 0, 1375, 0, -272, 0, 55, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 1443142567568, 'p': 5}
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id: 2125703
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 1443142567568, 'p': 7}
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id: 2125704
{'charpoly_factorization': [[[-92, 0, 604, 0, -49, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 11}
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id: 2125705
{'charpoly_factorization': [[[184, 0, 178, 0, 41, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 13}
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id: 2125706
{'charpoly_factorization': [[[-1472, 0, 650, 0, -51, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 17}
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id: 2125707
{'charpoly_factorization': [[[2944, 0, 1160, 0, 78, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 19}
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id: 2125708
{'charpoly_factorization': [[[32, 0, 96, 0, 34, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 23}
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id: 2125709
{'charpoly_factorization': [[[8192, 0, 2616, 0, 99, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 29}
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id: 2125710
{'charpoly_factorization': [[[11776, 0, 1592, 0, 70, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 31}
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id: 2125711
{'charpoly_factorization': [[[47104, 0, 5424, 0, 144, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 37}
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id: 2125712
{'charpoly_factorization': [[[270848, 0, 15608, 0, 230, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 41}
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id: 2125713
{'charpoly_factorization': [[[64, -40, -2, 1], 4]], 'hecke_orbit_code': 1443142567568, 'p': 43}
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id: 2125714
{'charpoly_factorization': [[[2048, 0, 952, 0, 91, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 47}
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id: 2125715
{'charpoly_factorization': [[[-1472, 0, 1704, 0, -82, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 53}
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id: 2125716
{'charpoly_factorization': [[[-376832, 0, 28544, 0, -324, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 59}
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id: 2125717
{'charpoly_factorization': [[[128, -20, -8, 1], 4]], 'hecke_orbit_code': 1443142567568, 'p': 61}
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id: 2125718
{'charpoly_factorization': [[[-736, -112, 6, 1], 4]], 'hecke_orbit_code': 1443142567568, 'p': 67}
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id: 2125719
{'charpoly_factorization': [[[-5888, 0, 1660, 0, -112, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 71}
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id: 2125720
{'charpoly_factorization': [[[753664, 0, 30888, 0, 366, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 73}
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id: 2125721
{'charpoly_factorization': [[[3014656, 0, 69176, 0, 483, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 79}
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id: 2125722
{'charpoly_factorization': [[[512, 0, 1952, 0, 228, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 83}
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id: 2125723
{'charpoly_factorization': [[[32768, 0, 8600, 0, 294, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 89}
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id: 2125724
{'charpoly_factorization': [[[406456, 0, 26690, 0, 361, 0, 1], 2]], 'hecke_orbit_code': 1443142567568, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 22, 'hecke_orbit': 1, 'label': '1680.2.v.a', 'level': 1680, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 13084278
{'hecke_orbit_code': 1443142567568, 'n': 1, 'trace_an': 12}
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id: 13084279
{'hecke_orbit_code': 1443142567568, 'n': 2, 'trace_an': 0}
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id: 13084280
{'hecke_orbit_code': 1443142567568, 'n': 3, 'trace_an': -2}
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id: 13084281
{'hecke_orbit_code': 1443142567568, 'n': 4, 'trace_an': 0}
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id: 13084282
{'hecke_orbit_code': 1443142567568, 'n': 5, 'trace_an': 0}
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id: 13084283
{'hecke_orbit_code': 1443142567568, 'n': 6, 'trace_an': 0}
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id: 13084284
{'hecke_orbit_code': 1443142567568, 'n': 7, 'trace_an': -12}
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id: 13084285
{'hecke_orbit_code': 1443142567568, 'n': 8, 'trace_an': 0}
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id: 13084286
{'hecke_orbit_code': 1443142567568, 'n': 9, 'trace_an': 6}
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id: 13084287
{'hecke_orbit_code': 1443142567568, 'n': 10, 'trace_an': 0}
-
id: 13084288
{'hecke_orbit_code': 1443142567568, 'n': 11, 'trace_an': 0}
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id: 13084289
{'hecke_orbit_code': 1443142567568, 'n': 12, 'trace_an': 0}
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id: 13084290
{'hecke_orbit_code': 1443142567568, 'n': 13, 'trace_an': 0}
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id: 13084291
{'hecke_orbit_code': 1443142567568, 'n': 14, 'trace_an': 0}
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id: 13084292
{'hecke_orbit_code': 1443142567568, 'n': 15, 'trace_an': 12}
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id: 13084293
{'hecke_orbit_code': 1443142567568, 'n': 16, 'trace_an': 0}
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id: 13084294
{'hecke_orbit_code': 1443142567568, 'n': 17, 'trace_an': 0}
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id: 13084295
{'hecke_orbit_code': 1443142567568, 'n': 18, 'trace_an': 0}
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id: 13084296
{'hecke_orbit_code': 1443142567568, 'n': 19, 'trace_an': 0}
-
id: 13084297
{'hecke_orbit_code': 1443142567568, 'n': 20, 'trace_an': 0}
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id: 13084298
{'hecke_orbit_code': 1443142567568, 'n': 21, 'trace_an': 2}
-
id: 13084299
{'hecke_orbit_code': 1443142567568, 'n': 22, 'trace_an': 0}
-
id: 13084300
{'hecke_orbit_code': 1443142567568, 'n': 23, 'trace_an': 0}
-
id: 13084301
{'hecke_orbit_code': 1443142567568, 'n': 24, 'trace_an': 0}
-
id: 13084302
{'hecke_orbit_code': 1443142567568, 'n': 25, 'trace_an': 16}
-
id: 13084303
{'hecke_orbit_code': 1443142567568, 'n': 26, 'trace_an': 0}
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id: 13084304
{'hecke_orbit_code': 1443142567568, 'n': 27, 'trace_an': 4}
-
id: 13084305
{'hecke_orbit_code': 1443142567568, 'n': 28, 'trace_an': 0}
-
id: 13084306
{'hecke_orbit_code': 1443142567568, 'n': 29, 'trace_an': 0}
-
id: 13084307
{'hecke_orbit_code': 1443142567568, 'n': 30, 'trace_an': 0}
-
id: 13084308
{'hecke_orbit_code': 1443142567568, 'n': 31, 'trace_an': 0}
-
id: 13084309
{'hecke_orbit_code': 1443142567568, 'n': 32, 'trace_an': 0}
-
id: 13084310
{'hecke_orbit_code': 1443142567568, 'n': 33, 'trace_an': 0}
-
id: 13084311
{'hecke_orbit_code': 1443142567568, 'n': 34, 'trace_an': 0}
-
id: 13084312
{'hecke_orbit_code': 1443142567568, 'n': 35, 'trace_an': 0}
-
id: 13084313
{'hecke_orbit_code': 1443142567568, 'n': 36, 'trace_an': 0}
-
id: 13084314
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