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mf_newforms • Show schema
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{'Nk2': 975, 'analytic_conductor': 0.48658838731717735, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 975, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 10, 'char_parity': -1, 'char_values': [975, 10, [326, 352, 301], [5, 2, 5]], 'cm_discs': [-39], 'conrey_index': 116, '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, 0, 0, 10, 0, 5, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9009192136344527, 'hecke_ring_generator_nbound': 5, '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, 39, 4, -1, 2, -39], [1, 1, 3, 2, -1, 2, 0], [1, 1, 13, 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 975, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.48658838731717735, 'char_conductor': 975, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 10, 'char_parity': -1, 'char_values': [975, 10, [326, 352, 301], [5, 2, 5]], 'conrey_index': 116, 'cusp_dim': 16, 'dihedral_dim': 16, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_orbit_code': 1992881603535, 'hecke_orbit_dims': [4, 4, 8], 'label': '975.1.bd', 'level': 975, '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, 5, 13], 'level_radical': 195, 'mf_dim': 32, 'mf_new_dim': 32, 'num_forms': 3, 'prim_orbit_index': 30, 'relative_dim': 4, 's4_dim': 0, 'sturm_bound': 140, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, -4, 0, 0, 0, 0, -4, -4, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 12, 0, 0, -8, 0, 0, 0, 0, -8, 16, 0, 0, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 32, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 12, 0, 0, 0, 0, 0, 12, 0, 0, -8, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 12, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -8, 0, 0, -12, 0, 0, 0, 0, -4, -8, 0, 0, -4, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 12, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 12, 0, 0, 0, 0, 0, 0, -4, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -8, 0, 0, 0, 0, 0, 0, -16, 0, 12, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 12, 0, 0, 0, 0, 32, 0, 0, 0, -8, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 12, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, -16, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -4, 0, -8, -4, 0, 0, 0, 0, -8, -4, 0, 12, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 12, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 12, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 12, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, 0, 0, 12, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 8, -4, 0, 0, 12, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -4, 16, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 12, 0, 0, 0, 0, 0, 4, 0, 0, 16, 0, 0, 32, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -4, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, -16, -8, 0, 0, 4, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 12, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 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, 0, -8, 0, 0, 0, -8, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 24, 0, 0, 12, 0, 0, 0, 0, -16, 16, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -8, 0, 0, -8], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 41827361
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 116, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009192136344527, 'source_is_minimal': True, 'source_label': '975.1.bd.c.116.1', 'source_level': 975, 'target_conrey_index': 116, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009192136344527, 'target_is_minimal': True, 'target_label': '975.1.bd.c.116.1', 'target_level': 975, 'twist_class_label': '975.1.bd.c.116.1', 'twist_class_level': 975, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 41827362
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 116, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009192136344527, 'source_is_minimal': True, 'source_label': '975.1.bd.c.116.1', 'source_level': 975, 'target_conrey_index': 116, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009192136344527, 'target_is_minimal': True, 'target_label': '975.1.bd.c.116.2', 'target_level': 975, 'twist_class_label': '975.1.bd.c.116.1', 'twist_class_level': 975, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 41827363
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 116, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009192136344527, 'source_is_minimal': True, 'source_label': '975.1.bd.c.116.1', 'source_level': 975, 'target_conrey_index': 116, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009192136344527, 'target_is_minimal': True, 'target_label': '975.1.bd.c.116.2', 'target_level': 975, 'twist_class_label': '975.1.bd.c.116.1', 'twist_class_level': 975, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 1}
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id: 41827364
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 116, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009192136344527, 'source_is_minimal': True, 'source_label': '975.1.bd.c.116.1', 'source_level': 975, 'target_conrey_index': 311, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009192136344527, 'target_is_minimal': True, 'target_label': '975.1.bd.c.311.1', 'target_level': 975, 'twist_class_label': '975.1.bd.c.116.1', 'twist_class_level': 975, 'twisting_char_label': '25.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 41827365
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 116, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009192136344527, 'source_is_minimal': True, 'source_label': '975.1.bd.c.116.1', 'source_level': 975, 'target_conrey_index': 116, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009192136344527, 'target_is_minimal': True, 'target_label': '975.1.bd.c.116.1', 'target_level': 975, 'twist_class_label': '975.1.bd.c.116.1', 'twist_class_level': 975, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 1}
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id: 41827366
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 116, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009192136344527, 'source_is_minimal': True, 'source_label': '975.1.bd.c.116.1', 'source_level': 975, 'target_conrey_index': 311, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009192136344527, 'target_is_minimal': True, 'target_label': '975.1.bd.c.311.2', 'target_level': 975, 'twist_class_label': '975.1.bd.c.116.1', 'twist_class_level': 975, 'twisting_char_label': '75.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 41827367
{'conductor': 325, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 116, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009192136344527, 'source_is_minimal': True, 'source_label': '975.1.bd.c.116.1', 'source_level': 975, 'target_conrey_index': 311, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9009192136344527, 'target_is_minimal': True, 'target_label': '975.1.bd.c.311.2', 'target_level': 975, 'twist_class_label': '975.1.bd.c.116.1', 'twist_class_level': 975, 'twisting_char_label': '325.311', 'twisting_conrey_index': 311, 'weight': 1}
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id: 41827368
{'conductor': 975, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 116, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9009192136344527, 'source_is_minimal': True, 'source_label': '975.1.bd.c.116.1', 'source_level': 975, 'target_conrey_index': 311, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009192136344527, 'target_is_minimal': True, 'target_label': '975.1.bd.c.311.1', 'target_level': 975, 'twist_class_label': '975.1.bd.c.116.1', 'twist_class_level': 975, 'twisting_char_label': '975.311', 'twisting_conrey_index': 311, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 1555550
{'charpoly_factorization': [[[25, 0, 0, 0, 10, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 9009192136344527, 'p': 2}
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id: 1555551
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 9009192136344527, 'p': 3}
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id: 1555552
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 9009192136344527, 'p': 5}
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id: 1555553
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 7}
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id: 1555554
{'charpoly_factorization': [[[25, 0, 25, 0, 10, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009192136344527, 'p': 11}
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id: 1555555
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 9009192136344527, 'p': 13}
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id: 1555556
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 17}
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id: 1555557
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 19}
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id: 1555558
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 23}
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id: 1555559
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 29}
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id: 1555560
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 31}
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id: 1555561
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 37}
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id: 1555562
{'charpoly_factorization': [[[25, 0, 0, 0, 10, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 9009192136344527, 'p': 41}
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id: 1555563
{'charpoly_factorization': [[[-1, 1, 1], 4]], 'hecke_orbit_code': 9009192136344527, 'p': 43}
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id: 1555564
{'charpoly_factorization': [[[25, 0, 25, 0, 10, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009192136344527, 'p': 47}
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id: 1555565
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 53}
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id: 1555566
{'charpoly_factorization': [[[25, 0, 25, 0, 10, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009192136344527, 'p': 59}
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id: 1555567
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 2]], 'hecke_orbit_code': 9009192136344527, 'p': 61}
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id: 1555568
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 67}
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id: 1555569
{'charpoly_factorization': [[[25, 0, 0, 0, 10, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 9009192136344527, 'p': 71}
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id: 1555570
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 73}
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id: 1555571
{'charpoly_factorization': [[[16, -8, 4, -2, 1], 2]], 'hecke_orbit_code': 9009192136344527, 'p': 79}
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id: 1555572
{'charpoly_factorization': [[[25, 0, 25, 0, 10, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9009192136344527, 'p': 83}
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id: 1555573
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 89}
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id: 1555574
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9009192136344527, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 30, 'hecke_orbit': 3, 'label': '975.1.bd.c', 'level': 975, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 32100079
{'hecke_orbit_code': 9009192136344527, 'n': 1, 'trace_an': 8}
-
id: 32100080
{'hecke_orbit_code': 9009192136344527, 'n': 2, 'trace_an': 0}
-
id: 32100081
{'hecke_orbit_code': 9009192136344527, 'n': 3, 'trace_an': 2}
-
id: 32100082
{'hecke_orbit_code': 9009192136344527, 'n': 4, 'trace_an': -8}
-
id: 32100083
{'hecke_orbit_code': 9009192136344527, 'n': 5, 'trace_an': 0}
-
id: 32100084
{'hecke_orbit_code': 9009192136344527, 'n': 6, 'trace_an': 0}
-
id: 32100085
{'hecke_orbit_code': 9009192136344527, 'n': 7, 'trace_an': 0}
-
id: 32100086
{'hecke_orbit_code': 9009192136344527, 'n': 8, 'trace_an': 0}
-
id: 32100087
{'hecke_orbit_code': 9009192136344527, 'n': 9, 'trace_an': -2}
-
id: 32100088
{'hecke_orbit_code': 9009192136344527, 'n': 10, 'trace_an': -10}
-
id: 32100089
{'hecke_orbit_code': 9009192136344527, 'n': 11, 'trace_an': 0}
-
id: 32100090
{'hecke_orbit_code': 9009192136344527, 'n': 12, 'trace_an': -2}
-
id: 32100091
{'hecke_orbit_code': 9009192136344527, 'n': 13, 'trace_an': 2}
-
id: 32100092
{'hecke_orbit_code': 9009192136344527, 'n': 14, 'trace_an': 0}
-
id: 32100093
{'hecke_orbit_code': 9009192136344527, 'n': 15, 'trace_an': 0}
-
id: 32100094
{'hecke_orbit_code': 9009192136344527, 'n': 16, 'trace_an': 8}
-
id: 32100095
{'hecke_orbit_code': 9009192136344527, 'n': 17, 'trace_an': 0}
-
id: 32100096
{'hecke_orbit_code': 9009192136344527, 'n': 18, 'trace_an': 0}
-
id: 32100097
{'hecke_orbit_code': 9009192136344527, 'n': 19, 'trace_an': 0}
-
id: 32100098
{'hecke_orbit_code': 9009192136344527, 'n': 20, 'trace_an': 0}
-
id: 32100099
{'hecke_orbit_code': 9009192136344527, 'n': 21, 'trace_an': 0}
-
id: 32100100
{'hecke_orbit_code': 9009192136344527, 'n': 22, 'trace_an': -10}
-
id: 32100101
{'hecke_orbit_code': 9009192136344527, 'n': 23, 'trace_an': 0}
-
id: 32100102
{'hecke_orbit_code': 9009192136344527, 'n': 24, 'trace_an': 0}
-
id: 32100103
{'hecke_orbit_code': 9009192136344527, 'n': 25, 'trace_an': 2}
-
id: 32100104
{'hecke_orbit_code': 9009192136344527, 'n': 26, 'trace_an': 0}
-
id: 32100105
{'hecke_orbit_code': 9009192136344527, 'n': 27, 'trace_an': 2}
-
id: 32100106
{'hecke_orbit_code': 9009192136344527, 'n': 28, 'trace_an': 0}
-
id: 32100107
{'hecke_orbit_code': 9009192136344527, 'n': 29, 'trace_an': 0}
-
id: 32100108
{'hecke_orbit_code': 9009192136344527, 'n': 30, 'trace_an': -10}
-
id: 32100109
{'hecke_orbit_code': 9009192136344527, 'n': 31, 'trace_an': 0}
-
id: 32100110
{'hecke_orbit_code': 9009192136344527, 'n': 32, 'trace_an': 0}
-
id: 32100111
{'hecke_orbit_code': 9009192136344527, 'n': 33, 'trace_an': 0}
-
id: 32100112
{'hecke_orbit_code': 9009192136344527, 'n': 34, 'trace_an': 0}
-
id: 32100113
{'hecke_orbit_code': 9009192136344527, 'n': 35, 'trace_an': 0}
-
id: 32100114
{'hecke_orbit_code': 9009192136344527, 'n': 36, 'trace_an': 2}
-
id: 32100115
{'hecke_orbit_code': 9009192136344527, 'n': 37, 'trace_an': 0}
-
id: 32100116
{'hecke_orbit_code': 9009192136344527, 'n': 38, 'trace_an': 0}
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