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mf_newforms • Show schema
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{'Nk2': 452, 'analytic_conductor': 0.2255773857101171, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 452, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 14, 'char_parity': -1, 'char_values': [452, 14, [227, 229], [7, 12]], 'cm_discs': [-4], 'conrey_index': 143, 'dim': 6, 'field_disc': -16807, 'field_disc_factorization': [[-1, 1], [7, 5]], 'field_poly': [1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 14, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 687211545028, 'hecke_ring_generator_nbound': 2, '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, 4, 2, -1, 2, -4], [1, 1, 113, 4, 1, 7, 0], [1, 1, 452, 11, -1, 14, 0]], 'is_cm': True, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '452.1.k.a', 'level': 452, '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, 113], 'level_radical': 226, 'minimal_twist': '452.1.k.a', 'nf_label': '6.0.16807.1', 'prim_orbit_index': 11, 'projective_field': [36288, -8560, -68, -319, -70, 34, -2, 1], 'projective_field_label': '7.1.133244912166976.1', 'projective_image': 'D7', 'projective_image_type': 'Dn', 'qexp_display': 'q-\\zeta_{14}q^{2}+\\zeta_{14}^{2}q^{4}+(\\zeta_{14}^{2}+\\zeta_{14}^{6}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '452.1.k', 'trace_display': [-1, 0, -2, 0], 'trace_hash': 1787645355050729098, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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452, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 452, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.2255773857101171, 'char_conductor': 452, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 14, 'char_parity': -1, 'char_values': [452, 14, [227, 229], [7, 12]], 'conrey_index': 143, 'cusp_dim': 6, 'dihedral_dim': 6, 'dim': 6, 'eis_dim': 12, 'eis_new_dim': 12, 'hecke_orbit_code': 687211545028, 'hecke_orbit_dims': [6], 'label': '452.1.k', 'level': 452, '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, 113], 'level_radical': 226, 'mf_dim': 18, 'mf_new_dim': 18, 'num_forms': 1, 'prim_orbit_index': 11, 'relative_dim': 1, 's4_dim': 0, 'sturm_bound': 57, 'trace_bound': 0, 'trace_display': [-1, 0, -2, 0], 'traces': [6, -1, 0, -1, -2, 0, 0, -1, -1, 5, 0, 0, -2, 0, 0, -1, -2, 6, 0, -2, 0, 0, 0, 0, -3, -2, 0, 0, 5, 0, 0, -1, 0, 5, 0, -1, -2, 0, 0, -2, 5, 0, 0, 0, -2, 0, 0, 0, -1, -3, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, 5, 0, 0, -1, -4, 0, 0, -2, 0, 0, 0, -1, -2, -2, 0, 0, 0, 0, 0, -2, -1, -2, 0, 0, -4, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 5, 6, 0, 4, -2, 0, 0, 5, 0, -2, 0, 0, 5, 0, 0, 0, -1, 0, 0, -2, -2, 0, 0, 0, -1, -2, 0, 0, 3, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 0, -1, -4, -2, 0, 12, 5, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 5, 0, -1, 0, -2, 0, 0, 0, 0, -3, -4, 0, 0, -2, 0, 0, 0, 0, -2, 0, 5, -2, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -1, 5, 0, 0, 4, 0, -2, 0, 0, -4, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 3, 0, 0, 0, 4, -1, 0, 0, 5, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, -1, 0, -2, -2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -1, 5, 0, 0, -4, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 5, 0, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, -3, 3, 0, -2, -2, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 6, 1, 0, 0, 5, 0, 0, 0, 0, -2, 0, 0, 0, -2, 4, 0, 10, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, -1, -2, 0, 0, -4, 0, 0, 0, -2, -4, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, -1, 0, -2, 0, 0, 5, 0, 0, -3, 5, 0, 0, -2, 5, 0, 0, 0, 5, 10, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, -2, 8, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, -1, -4, 0, 0, -4, 0, 0, 0, -2, -3, 0, -1, 0, 0, 0, 0, -2, 5, 0, 0, 5, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 10, 5, 0, -1, 3, 0, 0, -2, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, -1, 0, 5, 0, 0, 0, 0, 0, 3, -2, 5, 0, 0, 0, 0, 0, 0, -1, -4, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, -4, 0, 0, 5, -2, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, -2, 4, 0, -4, 0, 0, 0, 5, 3, 5, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 3, 0, 5, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -5, 5, 0, -2, -4, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 5, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 5, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 5, -2, 0, -3, -2, 0, 0, -4, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, -2, 0, 0, 0, 0, 3, -2, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 6, 0, -2, 1, 0, 0, 0, -1, 3, 0, 0, -2, 0, 0, 0, 0, 5, 0, -4, 0, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 5, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 5, -2, 0, 0, -2, 0, 5, 0, 0, 0, 0, 0, -1, -4, 0, 0, -2, 0, 0, 0, 0, 3, -2, 0, 0, 5, 0, 0, -3, -2, -2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 4, 5, 0, 0, 1, 0, 0, 5, 0, -6, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, -2, 0, 0, 0, -2, -1, 0, 3, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, -3, 3, 0, 0, -1, -4, 0, 0, 0, 5, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, -6, 0, 0, 5, -2, 0, 0, 5, 0, 0, 0, -2, 5, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -1, -4, 0, -2, 3, 0, 0, -1, 0, 3, 0, 0, 0, 0, 0, 5, -2, 0, 0, 5, -2, 0, 0, 0, -4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 3], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 7756525
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 367, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687211545028, 'source_is_minimal': True, 'source_label': '452.1.k.a.367.1', 'source_level': 452, 'target_conrey_index': 367, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687211545028, 'target_is_minimal': True, 'target_label': '452.1.k.a.367.1', 'target_level': 452, 'twist_class_label': '452.1.k.a.335.1', 'twist_class_level': 452, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 7756526
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 367, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687211545028, 'source_is_minimal': True, 'source_label': '452.1.k.a.367.1', 'source_level': 452, 'target_conrey_index': 367, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687211545028, 'target_is_minimal': True, 'target_label': '452.1.k.a.367.1', 'target_level': 452, 'twist_class_label': '452.1.k.a.335.1', 'twist_class_level': 452, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 7756527
{'conductor': 113, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 367, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687211545028, 'source_is_minimal': True, 'source_label': '452.1.k.a.367.1', 'source_level': 452, 'target_conrey_index': 335, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687211545028, 'target_is_minimal': True, 'target_label': '452.1.k.a.335.1', 'target_level': 452, 'twist_class_label': '452.1.k.a.335.1', 'twist_class_level': 452, 'twisting_char_label': '113.109', 'twisting_conrey_index': 109, 'weight': 1}
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id: 7756528
{'conductor': 452, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 367, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687211545028, 'source_is_minimal': True, 'source_label': '452.1.k.a.367.1', 'source_level': 452, 'target_conrey_index': 335, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687211545028, 'target_is_minimal': True, 'target_label': '452.1.k.a.335.1', 'target_level': 452, 'twist_class_label': '452.1.k.a.335.1', 'twist_class_level': 452, 'twisting_char_label': '452.335', 'twisting_conrey_index': 335, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 915750
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 2}
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id: 915751
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 3}
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id: 915752
{'charpoly_factorization': [[[1, -3, 2, 1, 4, 2, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 5}
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id: 915753
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 7}
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id: 915754
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 11}
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id: 915755
{'charpoly_factorization': [[[1, 4, 9, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 13}
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id: 915756
{'charpoly_factorization': [[[1, 4, 9, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 17}
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id: 915757
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 19}
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id: 915758
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 23}
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id: 915759
{'charpoly_factorization': [[[1, -3, 9, -13, 11, -5, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 29}
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id: 915760
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 31}
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id: 915761
{'charpoly_factorization': [[[64, 32, 16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 37}
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id: 915762
{'charpoly_factorization': [[[1, -3, 9, -13, 11, -5, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 41}
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id: 915763
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 43}
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id: 915764
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 47}
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id: 915765
{'charpoly_factorization': [[[1, -3, 2, 1, 4, 2, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 53}
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id: 915766
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 59}
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id: 915767
{'charpoly_factorization': [[[1, -3, 9, -13, 11, -5, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 61}
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id: 915768
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 67}
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id: 915769
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 71}
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id: 915770
{'charpoly_factorization': [[[-1, -2, 1, 1], 2]], 'hecke_orbit_code': 687211545028, 'p': 73}
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id: 915771
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 79}
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id: 915772
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 687211545028, 'p': 83}
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id: 915773
{'charpoly_factorization': [[[1, -3, 2, 1, 4, 2, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 89}
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id: 915774
{'charpoly_factorization': [[[1, -3, 9, -13, 11, -5, 1], 1]], 'hecke_orbit_code': 687211545028, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '452.1.k.a', 'level': 452, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 10466094
{'hecke_orbit_code': 687211545028, 'n': 1, 'trace_an': 6}
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id: 10466095
{'hecke_orbit_code': 687211545028, 'n': 2, 'trace_an': -1}
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id: 10466096
{'hecke_orbit_code': 687211545028, 'n': 3, 'trace_an': 0}
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id: 10466097
{'hecke_orbit_code': 687211545028, 'n': 4, 'trace_an': -1}
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id: 10466098
{'hecke_orbit_code': 687211545028, 'n': 5, 'trace_an': -2}
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id: 10466099
{'hecke_orbit_code': 687211545028, 'n': 6, 'trace_an': 0}
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id: 10466100
{'hecke_orbit_code': 687211545028, 'n': 7, 'trace_an': 0}
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id: 10466101
{'hecke_orbit_code': 687211545028, 'n': 8, 'trace_an': -1}
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id: 10466102
{'hecke_orbit_code': 687211545028, 'n': 9, 'trace_an': -1}
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id: 10466103
{'hecke_orbit_code': 687211545028, 'n': 10, 'trace_an': 5}
-
id: 10466104
{'hecke_orbit_code': 687211545028, 'n': 11, 'trace_an': 0}
-
id: 10466105
{'hecke_orbit_code': 687211545028, 'n': 12, 'trace_an': 0}
-
id: 10466106
{'hecke_orbit_code': 687211545028, 'n': 13, 'trace_an': -2}
-
id: 10466107
{'hecke_orbit_code': 687211545028, 'n': 14, 'trace_an': 0}
-
id: 10466108
{'hecke_orbit_code': 687211545028, 'n': 15, 'trace_an': 0}
-
id: 10466109
{'hecke_orbit_code': 687211545028, 'n': 16, 'trace_an': -1}
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id: 10466110
{'hecke_orbit_code': 687211545028, 'n': 17, 'trace_an': -2}
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id: 10466111
{'hecke_orbit_code': 687211545028, 'n': 18, 'trace_an': 6}
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id: 10466112
{'hecke_orbit_code': 687211545028, 'n': 19, 'trace_an': 0}
-
id: 10466113
{'hecke_orbit_code': 687211545028, 'n': 20, 'trace_an': -2}
-
id: 10466114
{'hecke_orbit_code': 687211545028, 'n': 21, 'trace_an': 0}
-
id: 10466115
{'hecke_orbit_code': 687211545028, 'n': 22, 'trace_an': 0}
-
id: 10466116
{'hecke_orbit_code': 687211545028, 'n': 23, 'trace_an': 0}
-
id: 10466117
{'hecke_orbit_code': 687211545028, 'n': 24, 'trace_an': 0}
-
id: 10466118
{'hecke_orbit_code': 687211545028, 'n': 25, 'trace_an': -3}
-
id: 10466119
{'hecke_orbit_code': 687211545028, 'n': 26, 'trace_an': -2}
-
id: 10466120
{'hecke_orbit_code': 687211545028, 'n': 27, 'trace_an': 0}
-
id: 10466121
{'hecke_orbit_code': 687211545028, 'n': 28, 'trace_an': 0}
-
id: 10466122
{'hecke_orbit_code': 687211545028, 'n': 29, 'trace_an': 5}
-
id: 10466123
{'hecke_orbit_code': 687211545028, 'n': 30, 'trace_an': 0}
-
id: 10466124
{'hecke_orbit_code': 687211545028, 'n': 31, 'trace_an': 0}
-
id: 10466125
{'hecke_orbit_code': 687211545028, 'n': 32, 'trace_an': -1}
-
id: 10466126
{'hecke_orbit_code': 687211545028, 'n': 33, 'trace_an': 0}
-
id: 10466127
{'hecke_orbit_code': 687211545028, 'n': 34, 'trace_an': 5}
-
id: 10466128
{'hecke_orbit_code': 687211545028, 'n': 35, 'trace_an': 0}
-
id: 10466129
{'hecke_orbit_code': 687211545028, 'n': 36, 'trace_an': -1}
-
id: 10466130
{'hecke_orbit_code': 687211545028, 'n': 37, 'trace_an': -2}
-
id: 10466131
{'hecke_orbit_code': 687211545028, 'n': 38, 'trace_an': 0}
-
id: 10466132
{'hecke_orbit_code': 687211545028, 'n': 39, 'trace_an': 0}
-
id: 10466133
{'hecke_orbit_code': 687211545028, 'n': 40, 'trace_an': -2}
-
id: 10466134
{'hecke_orbit_code': 687211545028, 'n': 41, 'trace_an': 5}
-
id: 10466135
{'hecke_orbit_code': 687211545028, 'n': 42, 'trace_an': 0}
-
id: 10466136
{'hecke_orbit_code': 687211545028, 'n': 43, 'trace_an': 0}
-
id: 10466137
{'hecke_orbit_code': 687211545028, 'n': 44, 'trace_an': 0}
-
id: 10466138
{'hecke_orbit_code': 687211545028, 'n': 45, 'trace_an': -2}
-
id: 10466139
{'hecke_orbit_code': 687211545028, 'n': 46, 'trace_an': 0}
-
id: 10466140
{'hecke_orbit_code': 687211545028, 'n': 47, 'trace_an': 0}
-
id: 10466141
{'hecke_orbit_code': 687211545028, 'n': 48, 'trace_an': 0}
-
id: 10466142
{'hecke_orbit_code': 687211545028, 'n': 49, 'trace_an': -1}
-
id: 10466143
{'hecke_orbit_code': 687211545028, 'n': 50, 'trace_an': -3}
-
id: 10466144
{'hecke_orbit_code': 687211545028, 'n': 51, 'trace_an': 0}
-
id: 10466145
{'hecke_orbit_code': 687211545028, 'n': 52, 'trace_an': -2}
-
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{'hecke_orbit_code': 687211545028, 'n': 997, 'trace_an': -2}