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mf_newforms • Show schema
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{'Nk2': 405, 'analytic_conductor': 1.226161189621336, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': -1, 'char_values': [45, 4, [11, 37], [4, 3]], 'cm_discs': [], 'conrey_index': 28, 'dim': 4, 'field_disc': 6400, 'field_disc_factorization': [[2, 8], [5, 2]], 'field_poly': [25, 0, 0, 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': [[2, [25, 0, 0, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 412367192109, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 15, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
Hide schema
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id: 4952543
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 412367192109, 'target_is_minimal': True, 'target_label': '45.3.g.a.28.2', 'target_level': 45, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 4952544
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412367192109, 'target_is_minimal': True, 'target_label': '45.3.g.a.28.1', 'target_level': 45, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 4952545
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40534664439399120, 'target_is_minimal': False, 'target_label': '720.3.bh.j.433.2', 'target_level': 720, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 4952546
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 37, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 412367192109, 'target_is_minimal': True, 'target_label': '45.3.g.a.37.2', 'target_level': 45, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 4952547
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 82, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010131415265, 'target_is_minimal': False, 'target_label': '225.3.g.g.82.1', 'target_level': 225, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 4952548
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 118, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010131415265, 'target_is_minimal': False, 'target_label': '225.3.g.g.118.1', 'target_level': 225, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 4952549
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 28, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022353728799125, 'target_is_minimal': False, 'target_label': '405.3.l.g.28.2', 'target_level': 405, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 4952550
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 298, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022353728799125, 'target_is_minimal': False, 'target_label': '405.3.l.g.298.2', 'target_level': 405, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 4952551
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 298, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022353728799125, 'target_is_minimal': False, 'target_label': '405.3.l.g.298.1', 'target_level': 405, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 4952552
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 28, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022353728799125, 'target_is_minimal': False, 'target_label': '405.3.l.g.28.1', 'target_level': 405, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 4952553
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40534664439399120, 'target_is_minimal': False, 'target_label': '720.3.bh.j.433.1', 'target_level': 720, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 4952554
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 37, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412367192109, 'target_is_minimal': True, 'target_label': '45.3.g.a.37.1', 'target_level': 45, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 4952555
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 82, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022010131415265, 'target_is_minimal': False, 'target_label': '225.3.g.g.82.2', 'target_level': 225, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 4952556
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 118, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022010131415265, 'target_is_minimal': False, 'target_label': '225.3.g.g.118.2', 'target_level': 225, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 4952557
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 577, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40534664439399120, 'target_is_minimal': False, 'target_label': '720.3.bh.j.577.2', 'target_level': 720, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 4952558
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 352, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022353728799125, 'target_is_minimal': False, 'target_label': '405.3.l.g.352.1', 'target_level': 405, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 4952559
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 352, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022353728799125, 'target_is_minimal': False, 'target_label': '405.3.l.g.352.2', 'target_level': 405, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 4952560
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 217, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022353728799125, 'target_is_minimal': False, 'target_label': '405.3.l.g.217.1', 'target_level': 405, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 3}
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id: 4952561
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 217, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022353728799125, 'target_is_minimal': False, 'target_label': '405.3.l.g.217.2', 'target_level': 405, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 3}
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id: 4952562
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 412367192109, 'source_is_minimal': True, 'source_label': '45.3.g.a.28.2', 'source_level': 45, 'target_conrey_index': 577, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40534664439399120, 'target_is_minimal': False, 'target_label': '720.3.bh.j.577.1', 'target_level': 720, 'twist_class_label': '45.3.g.a.28.1', 'twist_class_level': 45, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 150100
{'charpoly_factorization': [[[25, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 412367192109, 'p': 2}
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id: 150101
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412367192109, 'p': 3}
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id: 150102
{'charpoly_factorization': [[[625, 0, 40, 0, 1], 1]], 'hecke_orbit_code': 412367192109, 'p': 5}
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id: 150103
{'charpoly_factorization': [[[50, 10, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 7}
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id: 150104
{'charpoly_factorization': [[[-250, 0, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 11}
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id: 150105
{'charpoly_factorization': [[[200, -20, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 13}
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id: 150106
{'charpoly_factorization': [[[400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 412367192109, 'p': 17}
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id: 150107
{'charpoly_factorization': [[[324, 0, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 19}
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id: 150108
{'charpoly_factorization': [[[400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 412367192109, 'p': 23}
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id: 150109
{'charpoly_factorization': [[[2250, 0, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 29}
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id: 150110
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 412367192109, 'p': 31}
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id: 150111
{'charpoly_factorization': [[[200, -20, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 37}
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id: 150112
{'charpoly_factorization': [[[-1000, 0, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 41}
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id: 150113
{'charpoly_factorization': [[[200, -20, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 43}
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id: 150114
{'charpoly_factorization': [[[11424400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 412367192109, 'p': 47}
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id: 150115
{'charpoly_factorization': [[[1638400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 412367192109, 'p': 53}
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id: 150116
{'charpoly_factorization': [[[2250, 0, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 59}
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id: 150117
{'charpoly_factorization': [[[58, 1], 4]], 'hecke_orbit_code': 412367192109, 'p': 61}
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id: 150118
{'charpoly_factorization': [[[9800, -140, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 67}
-
id: 150119
{'charpoly_factorization': [[[-4000, 0, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 71}
-
id: 150120
{'charpoly_factorization': [[[6050, -110, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 73}
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id: 150121
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 79}
-
id: 150122
{'charpoly_factorization': [[[33408400, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 412367192109, 'p': 83}
-
id: 150123
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412367192109, 'p': 89}
-
id: 150124
{'charpoly_factorization': [[[50, 10, 1], 2]], 'hecke_orbit_code': 412367192109, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '45.3.g.a', 'level': 45, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 8920416
{'hecke_orbit_code': 412367192109, 'n': 1, 'trace_an': 4}
-
id: 8920417
{'hecke_orbit_code': 412367192109, 'n': 2, 'trace_an': 0}
-
id: 8920418
{'hecke_orbit_code': 412367192109, 'n': 3, 'trace_an': 0}
-
id: 8920419
{'hecke_orbit_code': 412367192109, 'n': 4, 'trace_an': 0}
-
id: 8920420
{'hecke_orbit_code': 412367192109, 'n': 5, 'trace_an': 0}
-
id: 8920421
{'hecke_orbit_code': 412367192109, 'n': 6, 'trace_an': 0}
-
id: 8920422
{'hecke_orbit_code': 412367192109, 'n': 7, 'trace_an': -20}
-
id: 8920423
{'hecke_orbit_code': 412367192109, 'n': 8, 'trace_an': 0}
-
id: 8920424
{'hecke_orbit_code': 412367192109, 'n': 9, 'trace_an': 0}
-
id: 8920425
{'hecke_orbit_code': 412367192109, 'n': 10, 'trace_an': -20}
-
id: 8920426
{'hecke_orbit_code': 412367192109, 'n': 11, 'trace_an': 0}
-
id: 8920427
{'hecke_orbit_code': 412367192109, 'n': 12, 'trace_an': 0}
-
id: 8920428
{'hecke_orbit_code': 412367192109, 'n': 13, 'trace_an': 40}
-
id: 8920429
{'hecke_orbit_code': 412367192109, 'n': 14, 'trace_an': 0}
-
id: 8920430
{'hecke_orbit_code': 412367192109, 'n': 15, 'trace_an': 0}
-
id: 8920431
{'hecke_orbit_code': 412367192109, 'n': 16, 'trace_an': 76}
-
id: 8920432
{'hecke_orbit_code': 412367192109, 'n': 17, 'trace_an': 0}
-
id: 8920433
{'hecke_orbit_code': 412367192109, 'n': 18, 'trace_an': 0}
-
id: 8920434
{'hecke_orbit_code': 412367192109, 'n': 19, 'trace_an': 0}
-
id: 8920435
{'hecke_orbit_code': 412367192109, 'n': 20, 'trace_an': 0}
-
id: 8920436
{'hecke_orbit_code': 412367192109, 'n': 21, 'trace_an': 0}
-
id: 8920437
{'hecke_orbit_code': 412367192109, 'n': 22, 'trace_an': -100}
-
id: 8920438
{'hecke_orbit_code': 412367192109, 'n': 23, 'trace_an': 0}
-
id: 8920439
{'hecke_orbit_code': 412367192109, 'n': 24, 'trace_an': 0}
-
id: 8920440
{'hecke_orbit_code': 412367192109, 'n': 25, 'trace_an': -80}
-
id: 8920441
{'hecke_orbit_code': 412367192109, 'n': 26, 'trace_an': 0}
-
id: 8920442
{'hecke_orbit_code': 412367192109, 'n': 27, 'trace_an': 0}
-
id: 8920443
{'hecke_orbit_code': 412367192109, 'n': 28, 'trace_an': 20}
-
id: 8920444
{'hecke_orbit_code': 412367192109, 'n': 29, 'trace_an': 0}
-
id: 8920445
{'hecke_orbit_code': 412367192109, 'n': 30, 'trace_an': 0}
-
id: 8920446
{'hecke_orbit_code': 412367192109, 'n': 31, 'trace_an': 32}
-
id: 8920447
{'hecke_orbit_code': 412367192109, 'n': 32, 'trace_an': 0}
-
id: 8920448
{'hecke_orbit_code': 412367192109, 'n': 33, 'trace_an': 0}
-
id: 8920449
{'hecke_orbit_code': 412367192109, 'n': 34, 'trace_an': 0}
-
id: 8920450
{'hecke_orbit_code': 412367192109, 'n': 35, 'trace_an': 0}
-
id: 8920451
{'hecke_orbit_code': 412367192109, 'n': 36, 'trace_an': 0}
-
id: 8920452
{'hecke_orbit_code': 412367192109, 'n': 37, 'trace_an': 40}
-
id: 8920453
{'hecke_orbit_code': 412367192109, 'n': 38, 'trace_an': 0}
-
id: 8920454
{'hecke_orbit_code': 412367192109, 'n': 39, 'trace_an': 0}
-
id: 8920455
{'hecke_orbit_code': 412367192109, 'n': 40, 'trace_an': 120}
-
id: 8920456
{'hecke_orbit_code': 412367192109, 'n': 41, 'trace_an': 0}
-
id: 8920457
{'hecke_orbit_code': 412367192109, 'n': 42, 'trace_an': 0}
-
id: 8920458
{'hecke_orbit_code': 412367192109, 'n': 43, 'trace_an': 40}
-
id: 8920459
{'hecke_orbit_code': 412367192109, 'n': 44, 'trace_an': 0}
-
id: 8920460
{'hecke_orbit_code': 412367192109, 'n': 45, 'trace_an': 0}
-
id: 8920461
{'hecke_orbit_code': 412367192109, 'n': 46, 'trace_an': -40}
-
id: 8920462
{'hecke_orbit_code': 412367192109, 'n': 47, 'trace_an': 0}
-
id: 8920463
{'hecke_orbit_code': 412367192109, 'n': 48, 'trace_an': 0}
-
id: 8920464
{'hecke_orbit_code': 412367192109, 'n': 49, 'trace_an': 0}
-
id: 8920465
{'hecke_orbit_code': 412367192109, 'n': 50, 'trace_an': 0}
-
id: 8920466
{'hecke_orbit_code': 412367192109, 'n': 51, 'trace_an': 0}
-
id: 8920467
{'hecke_orbit_code': 412367192109, 'n': 52, 'trace_an': 40}
-
id: 8920468
{'hecke_orbit_code': 412367192109, 'n': 53, 'trace_an': 0}
-
id: 8920469
{'hecke_orbit_code': 412367192109, 'n': 54, 'trace_an': 0}
-
id: 8920470
{'hecke_orbit_code': 412367192109, 'n': 55, 'trace_an': -100}
-
id: 8920471
{'hecke_orbit_code': 412367192109, 'n': 56, 'trace_an': 0}
-
id: 8920472
{'hecke_orbit_code': 412367192109, 'n': 57, 'trace_an': 0}
-
id: 8920473
{'hecke_orbit_code': 412367192109, 'n': 58, 'trace_an': -300}
-
id: 8920474
{'hecke_orbit_code': 412367192109, 'n': 59, 'trace_an': 0}
-
id: 8920475
{'hecke_orbit_code': 412367192109, 'n': 60, 'trace_an': 0}
-
id: 8920476
{'hecke_orbit_code': 412367192109, 'n': 61, 'trace_an': -232}
-
id: 8920477
{'hecke_orbit_code': 412367192109, 'n': 62, 'trace_an': 0}
-
id: 8920478
{'hecke_orbit_code': 412367192109, 'n': 63, 'trace_an': 0}
-
id: 8920479
{'hecke_orbit_code': 412367192109, 'n': 64, 'trace_an': 0}
-
id: 8920480
{'hecke_orbit_code': 412367192109, 'n': 65, 'trace_an': 0}
-
id: 8920481
{'hecke_orbit_code': 412367192109, 'n': 66, 'trace_an': 0}
-
id: 8920482
{'hecke_orbit_code': 412367192109, 'n': 67, 'trace_an': 280}
-
id: 8920483
{'hecke_orbit_code': 412367192109, 'n': 68, 'trace_an': 0}
-
id: 8920484
{'hecke_orbit_code': 412367192109, 'n': 69, 'trace_an': 0}
-
id: 8920485
{'hecke_orbit_code': 412367192109, 'n': 70, 'trace_an': 300}
-
id: 8920486
{'hecke_orbit_code': 412367192109, 'n': 71, 'trace_an': 0}
-
id: 8920487
{'hecke_orbit_code': 412367192109, 'n': 72, 'trace_an': 0}
-
id: 8920488
{'hecke_orbit_code': 412367192109, 'n': 73, 'trace_an': 220}
-
id: 8920489
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