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mf_newforms • Show schema
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{'Nk2': 1700, 'analytic_conductor': 0.8484105214761041, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 1700, 'char_degree': 8, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 49, 'char_orbit_label': 'bw', 'char_order': 20, 'char_parity': -1, 'char_values': [1700, 20, [851, 477, 1601], [10, 4, 15]], 'cm_discs': [-4], 'conrey_index': 191, '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': [[29, [1, 6, 13, 10, 16, 10, 2, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4506898179032740, '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, 425, 28, 1, 20, 0], [1, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1700, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.8484105214761041, 'char_conductor': 1700, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 49, 'char_orbit_label': 'bw', 'char_order': 20, 'char_parity': -1, 'char_values': [1700, 20, [851, 477, 1601], [10, 4, 15]], 'conrey_index': 191, 'cusp_dim': 16, 'dihedral_dim': 16, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 32, 'hecke_orbit_code': 3298551662244, 'hecke_orbit_dims': [8, 8], 'label': '1700.1.bw', 'level': 1700, '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, 17], 'level_radical': 170, 'mf_dim': 48, 'mf_new_dim': 48, 'num_forms': 2, 'prim_orbit_index': 49, 'relative_dim': 2, 's4_dim': 0, 'sturm_bound': 270, 'trace_bound': 5, 'trace_display': [0, 0, 2, 0], 'traces': [16, 0, 0, 4, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4, 4, -16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 2, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 10, 0, 0, -4, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 2, 4, -4, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -6, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 2, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 6, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 4, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, -6, 0, 0, 0, 0, 0, 0, 0, 6, -4, 0, 6, 2, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 16, 0, -6, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 16, 0, 0, 0, -6, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 4, -6, 0, 0, 0, 0, 0, 0, 6, 4, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 6, 0, 0, 0, 4, 0, 6, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 10, 0, 0, 10, 0, 0, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 6, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 4, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -6, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 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, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -12, 0, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -4, 16, 0, 8, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 6, 4, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, -6, -16, 0, -24, -4, 0, 0, -2, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 4, 0, 12, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 20, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, 16, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -6, -16, 0, 0, -16, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, -6, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -2], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 39552302
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 531, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506898179032740, 'source_is_minimal': True, 'source_label': '1700.1.bw.b.531.1', 'source_level': 1700, 'target_conrey_index': 531, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506898179032740, 'target_is_minimal': True, 'target_label': '1700.1.bw.b.531.1', 'target_level': 1700, 'twist_class_label': '1700.1.bw.a.871.1', 'twist_class_level': 1700, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 39552303
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 531, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506898179032740, 'source_is_minimal': True, 'source_label': '1700.1.bw.b.531.1', 'source_level': 1700, 'target_conrey_index': 531, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506898179032740, 'target_is_minimal': True, 'target_label': '1700.1.bw.b.531.1', 'target_level': 1700, 'twist_class_label': '1700.1.bw.a.871.1', 'twist_class_level': 1700, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 39552304
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 531, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506898179032740, 'source_is_minimal': True, 'source_label': '1700.1.bw.b.531.1', 'source_level': 1700, 'target_conrey_index': 931, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3298551662244, 'target_is_minimal': True, 'target_label': '1700.1.bw.a.931.1', 'target_level': 1700, 'twist_class_label': '1700.1.bw.a.871.1', 'twist_class_level': 1700, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 1}
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id: 39552305
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 531, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506898179032740, 'source_is_minimal': True, 'source_label': '1700.1.bw.b.531.1', 'source_level': 1700, 'target_conrey_index': 871, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3298551662244, 'target_is_minimal': True, 'target_label': '1700.1.bw.a.871.1', 'target_level': 1700, 'twist_class_label': '1700.1.bw.a.871.1', 'twist_class_level': 1700, 'twisting_char_label': '25.21', 'twisting_conrey_index': 21, 'weight': 1}
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id: 39552306
{'conductor': 68, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 531, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506898179032740, 'source_is_minimal': True, 'source_label': '1700.1.bw.b.531.1', 'source_level': 1700, 'target_conrey_index': 931, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3298551662244, 'target_is_minimal': True, 'target_label': '1700.1.bw.a.931.1', 'target_level': 1700, 'twist_class_label': '1700.1.bw.a.871.1', 'twist_class_level': 1700, 'twisting_char_label': '68.47', 'twisting_conrey_index': 47, 'weight': 1}
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id: 39552307
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 531, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506898179032740, 'source_is_minimal': True, 'source_label': '1700.1.bw.b.531.1', 'source_level': 1700, 'target_conrey_index': 871, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3298551662244, 'target_is_minimal': True, 'target_label': '1700.1.bw.a.871.1', 'target_level': 1700, 'twist_class_label': '1700.1.bw.a.871.1', 'twist_class_level': 1700, 'twisting_char_label': '100.71', 'twisting_conrey_index': 71, 'weight': 1}
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id: 39552308
{'conductor': 425, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 531, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506898179032740, 'source_is_minimal': True, 'source_label': '1700.1.bw.b.531.1', 'source_level': 1700, 'target_conrey_index': 1271, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506898179032740, 'target_is_minimal': True, 'target_label': '1700.1.bw.b.1271.1', 'target_level': 1700, 'twist_class_label': '1700.1.bw.a.871.1', 'twist_class_level': 1700, 'twisting_char_label': '425.421', 'twisting_conrey_index': 421, 'weight': 1}
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id: 39552309
{'conductor': 1700, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 531, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506898179032740, 'source_is_minimal': True, 'source_label': '1700.1.bw.b.531.1', 'source_level': 1700, 'target_conrey_index': 1271, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506898179032740, 'target_is_minimal': True, 'target_label': '1700.1.bw.b.1271.1', 'target_level': 1700, 'twist_class_label': '1700.1.bw.a.871.1', 'twist_class_level': 1700, 'twisting_char_label': '1700.1271', 'twisting_conrey_index': 1271, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2140725
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4506898179032740, 'p': 2}
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id: 2140726
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 3}
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id: 2140727
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 4506898179032740, 'p': 5}
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id: 2140728
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 7}
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id: 2140729
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 11}
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id: 2140730
{'charpoly_factorization': [[[25, 0, 25, 0, 10, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4506898179032740, 'p': 13}
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id: 2140731
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 4506898179032740, 'p': 17}
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id: 2140732
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 19}
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id: 2140733
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 23}
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id: 2140734
{'charpoly_factorization': [[[1, 6, 13, 10, 16, 10, 2, 2, 1], 1]], 'hecke_orbit_code': 4506898179032740, 'p': 29}
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id: 2140735
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 31}
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id: 2140736
{'charpoly_factorization': [[[1, 4, -2, -10, 16, -10, 7, -2, 1], 1]], 'hecke_orbit_code': 4506898179032740, 'p': 37}
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id: 2140737
{'charpoly_factorization': [[[1, -4, 13, -10, -4, 0, 2, 2, 1], 1]], 'hecke_orbit_code': 4506898179032740, 'p': 41}
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id: 2140738
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 43}
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id: 2140739
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 47}
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id: 2140740
{'charpoly_factorization': [[[5, 10, 10, 5, 1], 2]], 'hecke_orbit_code': 4506898179032740, 'p': 53}
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id: 2140741
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 59}
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id: 2140742
{'charpoly_factorization': [[[1, -6, 13, -10, 16, -10, 2, -2, 1], 1]], 'hecke_orbit_code': 4506898179032740, 'p': 61}
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id: 2140743
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 67}
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id: 2140744
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 71}
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id: 2140745
{'charpoly_factorization': [[[1, 6, 13, 10, 16, 10, 2, 2, 1], 1]], 'hecke_orbit_code': 4506898179032740, 'p': 73}
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id: 2140746
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 79}
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id: 2140747
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506898179032740, 'p': 83}
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id: 2140748
{'charpoly_factorization': [[[25, 0, 0, 0, 10, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 4506898179032740, 'p': 89}
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id: 2140749
{'charpoly_factorization': [[[1, 4, 13, 10, -4, 0, 2, -2, 1], 1]], 'hecke_orbit_code': 4506898179032740, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 49, 'hecke_orbit': 2, 'label': '1700.1.bw.b', 'level': 1700, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 25596157
{'hecke_orbit_code': 4506898179032740, 'n': 1, 'trace_an': 8}
-
id: 25596158
{'hecke_orbit_code': 4506898179032740, 'n': 2, 'trace_an': 0}
-
id: 25596159
{'hecke_orbit_code': 4506898179032740, 'n': 3, 'trace_an': 0}
-
id: 25596160
{'hecke_orbit_code': 4506898179032740, 'n': 4, 'trace_an': 2}
-
id: 25596161
{'hecke_orbit_code': 4506898179032740, 'n': 5, 'trace_an': 2}
-
id: 25596162
{'hecke_orbit_code': 4506898179032740, 'n': 6, 'trace_an': 0}
-
id: 25596163
{'hecke_orbit_code': 4506898179032740, 'n': 7, 'trace_an': 0}
-
id: 25596164
{'hecke_orbit_code': 4506898179032740, 'n': 8, 'trace_an': 0}
-
id: 25596165
{'hecke_orbit_code': 4506898179032740, 'n': 9, 'trace_an': 0}
-
id: 25596166
{'hecke_orbit_code': 4506898179032740, 'n': 10, 'trace_an': 0}
-
id: 25596167
{'hecke_orbit_code': 4506898179032740, 'n': 11, 'trace_an': 0}
-
id: 25596168
{'hecke_orbit_code': 4506898179032740, 'n': 12, 'trace_an': 0}
-
id: 25596169
{'hecke_orbit_code': 4506898179032740, 'n': 13, 'trace_an': 0}
-
id: 25596170
{'hecke_orbit_code': 4506898179032740, 'n': 14, 'trace_an': 0}
-
id: 25596171
{'hecke_orbit_code': 4506898179032740, 'n': 15, 'trace_an': 0}
-
id: 25596172
{'hecke_orbit_code': 4506898179032740, 'n': 16, 'trace_an': -2}
-
id: 25596173
{'hecke_orbit_code': 4506898179032740, 'n': 17, 'trace_an': 2}
-
id: 25596174
{'hecke_orbit_code': 4506898179032740, 'n': 18, 'trace_an': -8}
-
id: 25596175
{'hecke_orbit_code': 4506898179032740, 'n': 19, 'trace_an': 0}
-
id: 25596176
{'hecke_orbit_code': 4506898179032740, 'n': 20, 'trace_an': 8}
-
id: 25596177
{'hecke_orbit_code': 4506898179032740, 'n': 21, 'trace_an': 0}
-
id: 25596178
{'hecke_orbit_code': 4506898179032740, 'n': 22, 'trace_an': 0}
-
id: 25596179
{'hecke_orbit_code': 4506898179032740, 'n': 23, 'trace_an': 0}
-
id: 25596180
{'hecke_orbit_code': 4506898179032740, 'n': 24, 'trace_an': 0}
-
id: 25596181
{'hecke_orbit_code': 4506898179032740, 'n': 25, 'trace_an': -2}
-
id: 25596182
{'hecke_orbit_code': 4506898179032740, 'n': 26, 'trace_an': 0}
-
id: 25596183
{'hecke_orbit_code': 4506898179032740, 'n': 27, 'trace_an': 0}
-
id: 25596184
{'hecke_orbit_code': 4506898179032740, 'n': 28, 'trace_an': 0}
-
id: 25596185
{'hecke_orbit_code': 4506898179032740, 'n': 29, 'trace_an': -2}
-
id: 25596186
{'hecke_orbit_code': 4506898179032740, 'n': 30, 'trace_an': 0}
-
id: 25596187
{'hecke_orbit_code': 4506898179032740, 'n': 31, 'trace_an': 0}
-
id: 25596188
{'hecke_orbit_code': 4506898179032740, 'n': 32, 'trace_an': 0}
-
id: 25596189
{'hecke_orbit_code': 4506898179032740, 'n': 33, 'trace_an': 0}
-
id: 25596190
{'hecke_orbit_code': 4506898179032740, 'n': 34, 'trace_an': 0}
-
id: 25596191
{'hecke_orbit_code': 4506898179032740, 'n': 35, 'trace_an': 0}
-
id: 25596192
{'hecke_orbit_code': 4506898179032740, 'n': 36, 'trace_an': 0}
-
id: 25596193
{'hecke_orbit_code': 4506898179032740, 'n': 37, 'trace_an': 2}
-
id: 25596194
{'hecke_orbit_code': 4506898179032740, 'n': 38, 'trace_an': 0}
-
id: 25596195
{'hecke_orbit_code': 4506898179032740, 'n': 39, 'trace_an': 0}
-
id: 25596196
{'hecke_orbit_code': 4506898179032740, 'n': 40, 'trace_an': 0}
-
id: 25596197
{'hecke_orbit_code': 4506898179032740, 'n': 41, 'trace_an': -2}
-
id: 25596198
{'hecke_orbit_code': 4506898179032740, 'n': 42, 'trace_an': 0}
-
id: 25596199
{'hecke_orbit_code': 4506898179032740, 'n': 43, 'trace_an': 0}
-
id: 25596200
{'hecke_orbit_code': 4506898179032740, 'n': 44, 'trace_an': 0}
-
id: 25596201
{'hecke_orbit_code': 4506898179032740, 'n': 45, 'trace_an': 0}
-
id: 25596202
{'hecke_orbit_code': 4506898179032740, 'n': 46, 'trace_an': 0}
-
id: 25596203
{'hecke_orbit_code': 4506898179032740, 'n': 47, 'trace_an': 0}
-
id: 25596204
{'hecke_orbit_code': 4506898179032740, 'n': 48, 'trace_an': 0}
-
id: 25596205
{'hecke_orbit_code': 4506898179032740, 'n': 49, 'trace_an': 0}
-
id: 25596206
{'hecke_orbit_code': 4506898179032740, 'n': 50, 'trace_an': 0}
-
id: 25596207
{'hecke_orbit_code': 4506898179032740, 'n': 51, 'trace_an': 0}
-
id: 25596208
{'hecke_orbit_code': 4506898179032740, 'n': 52, 'trace_an': 0}
-
id: 25596209
{'hecke_orbit_code': 4506898179032740, 'n': 53, 'trace_an': -10}
-
id: 25596210
{'hecke_orbit_code': 4506898179032740, 'n': 54, 'trace_an': 0}
-
id: 25596211
{'hecke_orbit_code': 4506898179032740, 'n': 55, 'trace_an': 0}
-
id: 25596212
{'hecke_orbit_code': 4506898179032740, 'n': 56, 'trace_an': 0}
-
id: 25596213
{'hecke_orbit_code': 4506898179032740, 'n': 57, 'trace_an': 0}
-
id: 25596214
{'hecke_orbit_code': 4506898179032740, 'n': 58, 'trace_an': 2}
-
id: 25596215
{'hecke_orbit_code': 4506898179032740, 'n': 59, 'trace_an': 0}
-
id: 25596216
{'hecke_orbit_code': 4506898179032740, 'n': 60, 'trace_an': 0}
-
id: 25596217
{'hecke_orbit_code': 4506898179032740, 'n': 61, 'trace_an': 2}
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