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mf_newforms • Show schema
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{'Nk2': 1440, 'analytic_conductor': 0.7186536181915234, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 56, 'char_orbit_label': 'cd', 'char_order': 6, 'char_parity': -1, 'char_values': [1440, 6, [991, 901, 641, 577], [6, 6, 1, 3]], 'cm_discs': [-20], 'conrey_index': 929, 'conrey_indexes': [929, 1409], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 3779587999136, 'hecke_ring_generator_nbound': 3, '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, 20, 4, -1, 2, -20], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 2, 1, 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mf_hecke_cc • Show schema
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'hecke_orbit': 1, 'hecke_orbit_code': 3779587999136, 'label': '1440.1.cd.a.1409.2', 'level': 1440, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 1440, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.7186536181915234, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 56, 'char_orbit_label': 'cd', 'char_order': 6, 'char_parity': -1, 'char_values': [1440, 6, [991, 901, 641, 577], [6, 6, 1, 3]], 'conrey_index': 929, 'cusp_dim': 8, 'dihedral_dim': 8, 'dim': 8, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_orbit_code': 3779587999136, 'hecke_orbit_dims': [8], 'label': '1440.1.cd', 'level': 1440, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 40, 'mf_new_dim': 8, 'num_forms': 1, 'prim_orbit_index': 8, 'relative_dim': 4, 's4_dim': 0, 'sturm_bound': 288, 'trace_bound': 0, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 30466533
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 1409, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3779587999136, 'target_is_minimal': True, 'target_label': '1440.1.cd.a.1409.2', 'target_level': 1440, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 30466534
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 1409, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 3779587999136, 'target_is_minimal': True, 'target_label': '1440.1.cd.a.1409.3', 'target_level': 1440, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 30466535
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 1409, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 3779587999136, 'target_is_minimal': True, 'target_label': '1440.1.cd.a.1409.3', 'target_level': 1440, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 30466536
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 1409, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3779588000576, 'target_is_minimal': False, 'target_label': '2880.1.cd.a.1409.2', 'target_level': 2880, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 30466537
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 1409, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 3779588000576, 'target_is_minimal': False, 'target_label': '2880.1.cd.a.1409.3', 'target_level': 2880, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 30466538
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 929, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 3779587999136, 'target_is_minimal': True, 'target_label': '1440.1.cd.a.929.3', 'target_level': 1440, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 30466539
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 1409, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3779587999136, 'target_is_minimal': True, 'target_label': '1440.1.cd.a.1409.2', 'target_level': 1440, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 1}
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id: 30466540
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 929, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3779587999136, 'target_is_minimal': True, 'target_label': '1440.1.cd.a.929.2', 'target_level': 1440, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 30466541
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 1409, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 3779588000576, 'target_is_minimal': False, 'target_label': '2880.1.cd.a.1409.3', 'target_level': 2880, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 1}
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id: 30466542
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 1409, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3779588000576, 'target_is_minimal': False, 'target_label': '2880.1.cd.a.1409.2', 'target_level': 2880, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 1}
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id: 30466543
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 929, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3779587999136, 'target_is_minimal': True, 'target_label': '1440.1.cd.a.929.2', 'target_level': 1440, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 1}
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id: 30466544
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 2369, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 3779588000576, 'target_is_minimal': False, 'target_label': '2880.1.cd.a.2369.3', 'target_level': 2880, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '72.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 30466545
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 2369, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3779588000576, 'target_is_minimal': False, 'target_label': '2880.1.cd.a.2369.2', 'target_level': 2880, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '72.29', 'twisting_conrey_index': 29, 'weight': 1}
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id: 30466546
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 929, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 3779587999136, 'target_is_minimal': True, 'target_label': '1440.1.cd.a.929.3', 'target_level': 1440, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '180.119', 'twisting_conrey_index': 119, 'weight': 1}
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id: 30466547
{'conductor': 360, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 2369, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 3779588000576, 'target_is_minimal': False, 'target_label': '2880.1.cd.a.2369.3', 'target_level': 2880, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '360.29', 'twisting_conrey_index': 29, 'weight': 1}
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id: 30466548
{'conductor': 360, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1409, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3779587999136, 'source_is_minimal': True, 'source_label': '1440.1.cd.a.1409.2', 'source_level': 1440, 'target_conrey_index': 2369, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3779588000576, 'target_is_minimal': False, 'target_label': '2880.1.cd.a.2369.2', 'target_level': 2880, 'twist_class_label': '1440.1.cd.a.929.2', 'twist_class_level': 1440, 'twisting_char_label': '360.299', 'twisting_conrey_index': 299, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1946050
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 2}
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id: 1946051
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 3779587999136, 'p': 3}
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id: 1946052
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 3779587999136, 'p': 5}
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id: 1946053
{'charpoly_factorization': [[[1, 0, -4, 0, 15, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 3779587999136, 'p': 7}
-
id: 1946054
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 11}
-
id: 1946055
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 13}
-
id: 1946056
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 17}
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id: 1946057
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 19}
-
id: 1946058
{'charpoly_factorization': [[[1, 0, 4, 0, 15, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 3779587999136, 'p': 23}
-
id: 1946059
{'charpoly_factorization': [[[3, 3, 1], 4]], 'hecke_orbit_code': 3779587999136, 'p': 29}
-
id: 1946060
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 31}
-
id: 1946061
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 37}
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id: 1946062
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 3779587999136, 'p': 41}
-
id: 1946063
{'charpoly_factorization': [[[4, 0, -2, 0, 1], 2]], 'hecke_orbit_code': 3779587999136, 'p': 43}
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id: 1946064
{'charpoly_factorization': [[[1, 0, 4, 0, 15, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 3779587999136, 'p': 47}
-
id: 1946065
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 53}
-
id: 1946066
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 59}
-
id: 1946067
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 2]], 'hecke_orbit_code': 3779587999136, 'p': 61}
-
id: 1946068
{'charpoly_factorization': [[[1, 0, -4, 0, 15, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 3779587999136, 'p': 67}
-
id: 1946069
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 71}
-
id: 1946070
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 73}
-
id: 1946071
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 79}
-
id: 1946072
{'charpoly_factorization': [[[1, 0, 4, 0, 15, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 3779587999136, 'p': 83}
-
id: 1946073
{'charpoly_factorization': [[[3, 0, 1], 4]], 'hecke_orbit_code': 3779587999136, 'p': 89}
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id: 1946074
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779587999136, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 56, 'hecke_orbit': 1, 'label': '1440.1.cd.a', 'level': 1440, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 59079000
{'hecke_orbit_code': 3779587999136, 'n': 1, 'trace_an': 8}
-
id: 59079001
{'hecke_orbit_code': 3779587999136, 'n': 2, 'trace_an': 0}
-
id: 59079002
{'hecke_orbit_code': 3779587999136, 'n': 3, 'trace_an': 0}
-
id: 59079003
{'hecke_orbit_code': 3779587999136, 'n': 4, 'trace_an': 0}
-
id: 59079004
{'hecke_orbit_code': 3779587999136, 'n': 5, 'trace_an': 0}
-
id: 59079005
{'hecke_orbit_code': 3779587999136, 'n': 6, 'trace_an': 0}
-
id: 59079006
{'hecke_orbit_code': 3779587999136, 'n': 7, 'trace_an': 0}
-
id: 59079007
{'hecke_orbit_code': 3779587999136, 'n': 8, 'trace_an': 0}
-
id: 59079008
{'hecke_orbit_code': 3779587999136, 'n': 9, 'trace_an': 0}
-
id: 59079009
{'hecke_orbit_code': 3779587999136, 'n': 10, 'trace_an': 0}
-
id: 59079010
{'hecke_orbit_code': 3779587999136, 'n': 11, 'trace_an': 0}
-
id: 59079011
{'hecke_orbit_code': 3779587999136, 'n': 12, 'trace_an': 0}
-
id: 59079012
{'hecke_orbit_code': 3779587999136, 'n': 13, 'trace_an': 0}
-
id: 59079013
{'hecke_orbit_code': 3779587999136, 'n': 14, 'trace_an': 0}
-
id: 59079014
{'hecke_orbit_code': 3779587999136, 'n': 15, 'trace_an': 0}
-
id: 59079015
{'hecke_orbit_code': 3779587999136, 'n': 16, 'trace_an': 0}
-
id: 59079016
{'hecke_orbit_code': 3779587999136, 'n': 17, 'trace_an': 0}
-
id: 59079017
{'hecke_orbit_code': 3779587999136, 'n': 18, 'trace_an': 0}
-
id: 59079018
{'hecke_orbit_code': 3779587999136, 'n': 19, 'trace_an': 0}
-
id: 59079019
{'hecke_orbit_code': 3779587999136, 'n': 20, 'trace_an': 0}
-
id: 59079020
{'hecke_orbit_code': 3779587999136, 'n': 21, 'trace_an': -4}
-
id: 59079021
{'hecke_orbit_code': 3779587999136, 'n': 22, 'trace_an': 0}
-
id: 59079022
{'hecke_orbit_code': 3779587999136, 'n': 23, 'trace_an': 0}
-
id: 59079023
{'hecke_orbit_code': 3779587999136, 'n': 24, 'trace_an': 0}
-
id: 59079024
{'hecke_orbit_code': 3779587999136, 'n': 25, 'trace_an': 4}
-
id: 59079025
{'hecke_orbit_code': 3779587999136, 'n': 26, 'trace_an': 0}
-
id: 59079026
{'hecke_orbit_code': 3779587999136, 'n': 27, 'trace_an': 0}
-
id: 59079027
{'hecke_orbit_code': 3779587999136, 'n': 28, 'trace_an': 0}
-
id: 59079028
{'hecke_orbit_code': 3779587999136, 'n': 29, 'trace_an': -12}
-
id: 59079029
{'hecke_orbit_code': 3779587999136, 'n': 30, 'trace_an': 0}
-
id: 59079030
{'hecke_orbit_code': 3779587999136, 'n': 31, 'trace_an': 0}
-
id: 59079031
{'hecke_orbit_code': 3779587999136, 'n': 32, 'trace_an': 0}
-
id: 59079032
{'hecke_orbit_code': 3779587999136, 'n': 33, 'trace_an': 0}
-
id: 59079033
{'hecke_orbit_code': 3779587999136, 'n': 34, 'trace_an': 0}
-
id: 59079034
{'hecke_orbit_code': 3779587999136, 'n': 35, 'trace_an': 0}
-
id: 59079035
{'hecke_orbit_code': 3779587999136, 'n': 36, 'trace_an': 0}
-
id: 59079036
{'hecke_orbit_code': 3779587999136, 'n': 37, 'trace_an': 0}
-
id: 59079037
{'hecke_orbit_code': 3779587999136, 'n': 38, 'trace_an': 0}
-
id: 59079038
{'hecke_orbit_code': 3779587999136, 'n': 39, 'trace_an': 0}
-
id: 59079039
{'hecke_orbit_code': 3779587999136, 'n': 40, 'trace_an': 0}
-
id: 59079040
{'hecke_orbit_code': 3779587999136, 'n': 41, 'trace_an': 0}
-
id: 59079041
{'hecke_orbit_code': 3779587999136, 'n': 42, 'trace_an': 0}
-
id: 59079042
{'hecke_orbit_code': 3779587999136, 'n': 43, 'trace_an': 0}
-
id: 59079043
{'hecke_orbit_code': 3779587999136, 'n': 44, 'trace_an': 0}
-
id: 59079044
{'hecke_orbit_code': 3779587999136, 'n': 45, 'trace_an': -8}
-
id: 59079045
{'hecke_orbit_code': 3779587999136, 'n': 46, 'trace_an': 0}
-
id: 59079046
{'hecke_orbit_code': 3779587999136, 'n': 47, 'trace_an': 0}
-
id: 59079047
{'hecke_orbit_code': 3779587999136, 'n': 48, 'trace_an': 0}
-
id: 59079048
{'hecke_orbit_code': 3779587999136, 'n': 49, 'trace_an': 4}
-
id: 59079049
{'hecke_orbit_code': 3779587999136, 'n': 50, 'trace_an': 0}
-
id: 59079050
{'hecke_orbit_code': 3779587999136, 'n': 51, 'trace_an': 0}
-
id: 59079051
{'hecke_orbit_code': 3779587999136, 'n': 52, 'trace_an': 0}
-
id: 59079052
{'hecke_orbit_code': 3779587999136, 'n': 53, 'trace_an': 0}
-
id: 59079053
{'hecke_orbit_code': 3779587999136, 'n': 54, 'trace_an': 0}
-
id: 59079054
{'hecke_orbit_code': 3779587999136, 'n': 55, 'trace_an': 0}
-
id: 59079055
{'hecke_orbit_code': 3779587999136, 'n': 56, 'trace_an': 0}
-
id: 59079056
{'hecke_orbit_code': 3779587999136, 'n': 57, 'trace_an': 0}
-
id: 59079057
{'hecke_orbit_code': 3779587999136, 'n': 58, 'trace_an': 0}
-
id: 59079058
{'hecke_orbit_code': 3779587999136, 'n': 59, 'trace_an': 0}
-
id: 59079059
{'hecke_orbit_code': 3779587999136, 'n': 60, 'trace_an': 0}
-
id: 59079060
{'hecke_orbit_code': 3779587999136, 'n': 61, 'trace_an': 0}
-
id: 59079061
{'hecke_orbit_code': 3779587999136, 'n': 62, 'trace_an': 0}
-
id: 59079062
{'hecke_orbit_code': 3779587999136, 'n': 63, 'trace_an': 0}
-
id: 59079063
{'hecke_orbit_code': 3779587999136, 'n': 64, 'trace_an': 0}
-
id: 59079064
{'hecke_orbit_code': 3779587999136, 'n': 65, 'trace_an': 0}
-
id: 59079065
{'hecke_orbit_code': 3779587999136, 'n': 66, 'trace_an': 0}
-
id: 59079066
{'hecke_orbit_code': 3779587999136, 'n': 67, 'trace_an': 0}
-
id: 59079067
{'hecke_orbit_code': 3779587999136, 'n': 68, 'trace_an': 0}
-
id: 59079068
{'hecke_orbit_code': 3779587999136, 'n': 69, 'trace_an': 4}
-
id: 59079069
{'hecke_orbit_code': 3779587999136, 'n': 70, 'trace_an': 0}
-
id: 59079070
{'hecke_orbit_code': 3779587999136, 'n': 71, 'trace_an': 0}
-
id: 59079071
{'hecke_orbit_code': 3779587999136, 'n': 72, 'trace_an': 0}
-
id: 59079072
{'hecke_orbit_code': 3779587999136, 'n': 73, 'trace_an': 0}
-
id: 59079073
{'hecke_orbit_code': 3779587999136, 'n': 74, 'trace_an': 0}
-
id: 59079074
{'hecke_orbit_code': 3779587999136, 'n': 75, 'trace_an': 0}
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id: 59079075
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