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mf_newforms • Show schema
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{'Nk2': 693, 'analytic_conductor': 0.34585205375467065, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 77, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 44, 'char_orbit_label': 'br', 'char_order': 10, 'char_parity': -1, 'char_values': [693, 10, [155, 199, 442], [10, 5, 4]], 'cm_discs': [-7], 'conrey_index': 181, 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [25, 0, 25, 0, 10, 0, 0, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4506554581648053, 'hecke_ring_generator_nbound': 11, '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], [1, 1, 7, 2, -1, 2, -7], [1, 1, 3, 2, -1, 2, 0], [1, 1, 11, 3, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
Hide schema
{'Nk2': 693, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.34585205375467065, 'char_conductor': 77, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 44, 'char_orbit_label': 'br', 'char_order': 10, 'char_parity': -1, 'char_values': [693, 10, [155, 199, 442], [10, 5, 4]], 'conrey_index': 181, 'cusp_dim': 24, 'dihedral_dim': 12, 'dim': 12, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_orbit_code': 2954954277557, 'hecke_orbit_dims': [4, 8], 'label': '693.1.br', 'level': 693, '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': [3, 7, 11], 'level_radical': 231, 'mf_dim': 56, 'mf_new_dim': 20, 'num_forms': 2, 'prim_orbit_index': 10, 'relative_dim': 3, 's4_dim': 0, 'sturm_bound': 96, 'trace_bound': 1, 'trace_display': [2, 0, 0, 1], 'traces': [12, 2, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, -3, 0, -12, 0, 0, 0, 0, 0, -2, 2, 0, -3, 0, 0, 10, 2, 0, 0, -4, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 2, -2, 0, -9, 0, 0, -3, 2, 0, 0, -3, 0, 0, 4, 0, -9, 0, 0, 0, 0, 0, -10, 0, 0, -6, 0, 0, 0, -3, 0, 0, 4, 0, 0, 1, 0, 9, 0, 0, 0, 0, 0, 0, -1, 0, 11, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 14, 0, 0, 0, 0, 0, 11, -3, 0, 2, 0, 0, 12, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -6, 3, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 5, 2, 0, -3, 0, 0, -7, 0, 0, 0, -1, 0, 0, -3, 0, -6, 0, 0, 0, 0, 0, -3, 0, 0, 5, 0, 0, -4, 0, 0, 0, -3, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, -6, 2, 0, 0, -1, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 11, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 11, 0, 0, 0, 0, 0, -18, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -6, 0, -1, 0, 0, -6, 0, 0, 0, 2, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, -14, 1, 0, -6, 0, 0, 0, -3, 0, 0, 1, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, -6, -1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, -7, -3, 0, 13, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 1, -2, 0, 0, -3, 0, 0, 2, 0, 9, 0, 0, 0, 0, 0, 11, -3, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 24, 0, 0, 0, 0, 0, 2, 0, 0, 11, 0, 0, 0, 4, 0, 0, -3, 0, 0, -1, 0, 11, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 4, 0, -13, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, -4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -6, 0, 0, 6, 0, 0, 2, 0, 0, 0, -3, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, -10, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -3, 0, 2, 0, 0, 0, 0, 0, 0, -6, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 14, 0, 0, 0, 0, 0, 0, -2, 0, 0, 1, 0, -6, 0, 0, 0, 0, 0, -6, 1, 0, -7, 0, 0, 2, 4, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 2, 0, -6, 0, 0, 0, -3, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 2, 0, 0, -1, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -9, 2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 9, 3, 0, -9, 0, 0, 0, -1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 8, -3, 0, 0, 0, 0, 0, -8, 0, 0, -1, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, -3, 4, 0, -6, 0, 0, 0, 0, 0, 0, 2, 0, 0, -3, 0, -16, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -5, -3, 0, 0, 2, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 6, 0, -4, 0, 0, 0, -3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, -3, 0, 9, 0, 0, 11, -3, 0, 0, 4, 0, 0, 2, 0, -3, 0, 0, 0, 0, 0, -3, -6, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, 8, 0, 0, 0, -4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 26, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 0, 2, 0, 9, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 12, 0, 0, 0, 4, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 2, 0, 0, 11, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 7, 0, 0, -3, 0, 0, 0, 2, 0, 0, -6, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 2, -1, 0, -2, 0, 0, 0, 6, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -4, -8, 0, 0, 0, 0, 0, -3, 0, 0, -4, 0, 0, 2, 0, -3, 0, 0, 0, 0, 0, -6, -1, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 11, 0, 0, 0, -1, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 39437462
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 433, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506554581648053, 'source_is_minimal': True, 'source_label': '693.1.br.b.433.2', 'source_level': 693, 'target_conrey_index': 433, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506554581648053, 'target_is_minimal': True, 'target_label': '693.1.br.b.433.2', 'target_level': 693, 'twist_class_label': '693.1.br.b.433.1', 'twist_class_level': 693, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 39437463
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 433, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506554581648053, 'source_is_minimal': True, 'source_label': '693.1.br.b.433.2', 'source_level': 693, 'target_conrey_index': 433, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506554581648053, 'target_is_minimal': True, 'target_label': '693.1.br.b.433.1', 'target_level': 693, 'twist_class_label': '693.1.br.b.433.1', 'twist_class_level': 693, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 39437464
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 433, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506554581648053, 'source_is_minimal': True, 'source_label': '693.1.br.b.433.2', 'source_level': 693, 'target_conrey_index': 433, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506554581648053, 'target_is_minimal': True, 'target_label': '693.1.br.b.433.2', 'target_level': 693, 'twist_class_label': '693.1.br.b.433.1', 'twist_class_level': 693, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 1}
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id: 39437465
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 433, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506554581648053, 'source_is_minimal': True, 'source_label': '693.1.br.b.433.2', 'source_level': 693, 'target_conrey_index': 685, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506554581648053, 'target_is_minimal': True, 'target_label': '693.1.br.b.685.2', 'target_level': 693, 'twist_class_label': '693.1.br.b.433.1', 'twist_class_level': 693, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 39437466
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 433, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506554581648053, 'source_is_minimal': True, 'source_label': '693.1.br.b.433.2', 'source_level': 693, 'target_conrey_index': 433, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506554581648053, 'target_is_minimal': True, 'target_label': '693.1.br.b.433.1', 'target_level': 693, 'twist_class_label': '693.1.br.b.433.1', 'twist_class_level': 693, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 1}
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id: 39437467
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 433, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506554581648053, 'source_is_minimal': True, 'source_label': '693.1.br.b.433.2', 'source_level': 693, 'target_conrey_index': 685, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506554581648053, 'target_is_minimal': True, 'target_label': '693.1.br.b.685.1', 'target_level': 693, 'twist_class_label': '693.1.br.b.433.1', 'twist_class_level': 693, 'twisting_char_label': '33.14', 'twisting_conrey_index': 14, 'weight': 1}
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id: 39437468
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 433, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506554581648053, 'source_is_minimal': True, 'source_label': '693.1.br.b.433.2', 'source_level': 693, 'target_conrey_index': 685, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506554581648053, 'target_is_minimal': True, 'target_label': '693.1.br.b.685.2', 'target_level': 693, 'twist_class_label': '693.1.br.b.433.1', 'twist_class_level': 693, 'twisting_char_label': '77.69', 'twisting_conrey_index': 69, 'weight': 1}
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id: 39437469
{'conductor': 231, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 433, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506554581648053, 'source_is_minimal': True, 'source_label': '693.1.br.b.433.2', 'source_level': 693, 'target_conrey_index': 685, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506554581648053, 'target_is_minimal': True, 'target_label': '693.1.br.b.685.1', 'target_level': 693, 'twist_class_label': '693.1.br.b.433.1', 'twist_class_level': 693, 'twisting_char_label': '231.146', 'twisting_conrey_index': 146, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1213750
{'charpoly_factorization': [[[25, 0, 25, 0, 10, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4506554581648053, 'p': 2}
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id: 1213751
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 3}
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id: 1213752
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 5}
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id: 1213753
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 4506554581648053, 'p': 7}
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id: 1213754
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4506554581648053, 'p': 11}
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id: 1213755
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 13}
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id: 1213756
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 17}
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id: 1213757
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 19}
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id: 1213758
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 2]], 'hecke_orbit_code': 4506554581648053, 'p': 23}
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id: 1213759
{'charpoly_factorization': [[[25, 0, 25, 0, 10, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4506554581648053, 'p': 29}
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id: 1213760
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 31}
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id: 1213761
{'charpoly_factorization': [[[1, 2, 4, 3, 1], 2]], 'hecke_orbit_code': 4506554581648053, 'p': 37}
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id: 1213762
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 41}
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id: 1213763
{'charpoly_factorization': [[[-1, -1, 1], 4]], 'hecke_orbit_code': 4506554581648053, 'p': 43}
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id: 1213764
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 47}
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id: 1213765
{'charpoly_factorization': [[[25, 0, 0, 0, 10, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 4506554581648053, 'p': 53}
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id: 1213766
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 59}
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id: 1213767
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 61}
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id: 1213768
{'charpoly_factorization': [[[-1, 1, 1], 4]], 'hecke_orbit_code': 4506554581648053, 'p': 67}
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id: 1213769
{'charpoly_factorization': [[[25, 0, 0, 0, 10, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 4506554581648053, 'p': 71}
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id: 1213770
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 73}
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id: 1213771
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 2]], 'hecke_orbit_code': 4506554581648053, 'p': 79}
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id: 1213772
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 83}
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id: 1213773
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 89}
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id: 1213774
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506554581648053, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 44, 'hecke_orbit': 2, 'label': '693.1.br.b', 'level': 693, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 25517467
{'hecke_orbit_code': 4506554581648053, 'n': 1, 'trace_an': 8}
-
id: 25517468
{'hecke_orbit_code': 4506554581648053, 'n': 2, 'trace_an': 0}
-
id: 25517469
{'hecke_orbit_code': 4506554581648053, 'n': 3, 'trace_an': 0}
-
id: 25517470
{'hecke_orbit_code': 4506554581648053, 'n': 4, 'trace_an': 2}
-
id: 25517471
{'hecke_orbit_code': 4506554581648053, 'n': 5, 'trace_an': 0}
-
id: 25517472
{'hecke_orbit_code': 4506554581648053, 'n': 6, 'trace_an': 0}
-
id: 25517473
{'hecke_orbit_code': 4506554581648053, 'n': 7, 'trace_an': 2}
-
id: 25517474
{'hecke_orbit_code': 4506554581648053, 'n': 8, 'trace_an': 0}
-
id: 25517475
{'hecke_orbit_code': 4506554581648053, 'n': 9, 'trace_an': 0}
-
id: 25517476
{'hecke_orbit_code': 4506554581648053, 'n': 10, 'trace_an': 0}
-
id: 25517477
{'hecke_orbit_code': 4506554581648053, 'n': 11, 'trace_an': 0}
-
id: 25517478
{'hecke_orbit_code': 4506554581648053, 'n': 12, 'trace_an': 0}
-
id: 25517479
{'hecke_orbit_code': 4506554581648053, 'n': 13, 'trace_an': 0}
-
id: 25517480
{'hecke_orbit_code': 4506554581648053, 'n': 14, 'trace_an': 0}
-
id: 25517481
{'hecke_orbit_code': 4506554581648053, 'n': 15, 'trace_an': 0}
-
id: 25517482
{'hecke_orbit_code': 4506554581648053, 'n': 16, 'trace_an': -12}
-
id: 25517483
{'hecke_orbit_code': 4506554581648053, 'n': 17, 'trace_an': 0}
-
id: 25517484
{'hecke_orbit_code': 4506554581648053, 'n': 18, 'trace_an': 0}
-
id: 25517485
{'hecke_orbit_code': 4506554581648053, 'n': 19, 'trace_an': 0}
-
id: 25517486
{'hecke_orbit_code': 4506554581648053, 'n': 20, 'trace_an': 0}
-
id: 25517487
{'hecke_orbit_code': 4506554581648053, 'n': 21, 'trace_an': 0}
-
id: 25517488
{'hecke_orbit_code': 4506554581648053, 'n': 22, 'trace_an': 0}
-
id: 25517489
{'hecke_orbit_code': 4506554581648053, 'n': 23, 'trace_an': 0}
-
id: 25517490
{'hecke_orbit_code': 4506554581648053, 'n': 24, 'trace_an': 0}
-
id: 25517491
{'hecke_orbit_code': 4506554581648053, 'n': 25, 'trace_an': -2}
-
id: 25517492
{'hecke_orbit_code': 4506554581648053, 'n': 26, 'trace_an': 0}
-
id: 25517493
{'hecke_orbit_code': 4506554581648053, 'n': 27, 'trace_an': 0}
-
id: 25517494
{'hecke_orbit_code': 4506554581648053, 'n': 28, 'trace_an': 8}
-
id: 25517495
{'hecke_orbit_code': 4506554581648053, 'n': 29, 'trace_an': 0}
-
id: 25517496
{'hecke_orbit_code': 4506554581648053, 'n': 30, 'trace_an': 0}
-
id: 25517497
{'hecke_orbit_code': 4506554581648053, 'n': 31, 'trace_an': 0}
-
id: 25517498
{'hecke_orbit_code': 4506554581648053, 'n': 32, 'trace_an': 0}
-
id: 25517499
{'hecke_orbit_code': 4506554581648053, 'n': 33, 'trace_an': 0}
-
id: 25517500
{'hecke_orbit_code': 4506554581648053, 'n': 34, 'trace_an': 0}
-
id: 25517501
{'hecke_orbit_code': 4506554581648053, 'n': 35, 'trace_an': 0}
-
id: 25517502
{'hecke_orbit_code': 4506554581648053, 'n': 36, 'trace_an': 0}
-
id: 25517503
{'hecke_orbit_code': 4506554581648053, 'n': 37, 'trace_an': -6}
-
id: 25517504
{'hecke_orbit_code': 4506554581648053, 'n': 38, 'trace_an': 0}
-
id: 25517505
{'hecke_orbit_code': 4506554581648053, 'n': 39, 'trace_an': 0}
-
id: 25517506
{'hecke_orbit_code': 4506554581648053, 'n': 40, 'trace_an': 0}
-
id: 25517507
{'hecke_orbit_code': 4506554581648053, 'n': 41, 'trace_an': 0}
-
id: 25517508
{'hecke_orbit_code': 4506554581648053, 'n': 42, 'trace_an': 0}
-
id: 25517509
{'hecke_orbit_code': 4506554581648053, 'n': 43, 'trace_an': 4}
-
id: 25517510
{'hecke_orbit_code': 4506554581648053, 'n': 44, 'trace_an': 0}
-
id: 25517511
{'hecke_orbit_code': 4506554581648053, 'n': 45, 'trace_an': 0}
-
id: 25517512
{'hecke_orbit_code': 4506554581648053, 'n': 46, 'trace_an': -10}
-
id: 25517513
{'hecke_orbit_code': 4506554581648053, 'n': 47, 'trace_an': 0}
-
id: 25517514
{'hecke_orbit_code': 4506554581648053, 'n': 48, 'trace_an': 0}
-
id: 25517515
{'hecke_orbit_code': 4506554581648053, 'n': 49, 'trace_an': -2}
-
id: 25517516
{'hecke_orbit_code': 4506554581648053, 'n': 50, 'trace_an': 0}
-
id: 25517517
{'hecke_orbit_code': 4506554581648053, 'n': 51, 'trace_an': 0}
-
id: 25517518
{'hecke_orbit_code': 4506554581648053, 'n': 52, 'trace_an': 0}
-
id: 25517519
{'hecke_orbit_code': 4506554581648053, 'n': 53, 'trace_an': 0}
-
id: 25517520
{'hecke_orbit_code': 4506554581648053, 'n': 54, 'trace_an': 0}
-
id: 25517521
{'hecke_orbit_code': 4506554581648053, 'n': 55, 'trace_an': 0}
-
id: 25517522
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