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mf_newforms • Show schema
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{'Nk2': 1175, 'analytic_conductor': 0.5864013898437778, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 47, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [1175, 2, [377, 851], [2, 1]], 'cm_discs': [-47], 'conrey_index': 751, 'dim': 4, 'field_disc': 1125, 'field_disc_factorization': [[3, 2], [5, 3]], 'field_poly': [1, 4, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, -4, -4, 1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511005057320087, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 47, 2, -1, 2, -47]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1175, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.5864013898437778, 'char_conductor': 47, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [1175, 2, [377, 851], [2, 1]], 'conrey_index': 751, 'cusp_dim': 18, 'dihedral_dim': 12, 'dim': 12, 'eis_dim': 6, 'eis_new_dim': 3, 'hecke_orbit_code': 206175208599, 'hecke_orbit_dims': [1, 1, 2, 4, 4], 'label': '1175.1.d', 'level': 1175, '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': [5, 47], 'level_radical': 235, 'mf_dim': 24, 'mf_new_dim': 15, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 12, 's4_dim': 0, 'sturm_bound': 120, 'trace_bound': 2, 'trace_display': [1, 1, 0, 1], 'traces': [12, 1, 1, 11, 0, -2, 1, 2, 11, 0, 0, -2, 0, -7, 0, 10, 1, -2, 0, 0, -2, 0, 0, -9, 0, 0, 2, 3, 0, 0, 0, -2, 0, -2, 0, 8, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -2, 0, 11, 0, -7, 0, 1, -9, 0, -9, 0, 0, -1, 0, -1, 0, -2, 9, 0, 0, 0, -2, 0, 0, -1, 1, 0, -2, 0, 0, 0, 0, -1, 0, 10, 0, -4, -11, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -11, 1, 3, 0, 0, -1, -1, 1, 0, 0, -7, 0, 1, 0, 0, -7, 0, 0, 0, 0, 0, 0, -3, -2, 0, 12, -3, 0, 0, 0, -11, 0, -1, 0, 0, -1, 0, 0, 0, 0, -9, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, -2, -2, -1, 0, 0, 0, 3, 0, 0, 0, 1, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 12, 0, 0, 0, 1, 0, 0, 0, 2, -3, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, -9, 0, -6, 2, 0, -7, 0, 3, -4, 0, 0, 0, 0, 2, 0, -11, 0, -2, 0, 0, 0, 0, 0, 3, -3, 0, 0, -18, 0, 0, 0, 0, 0, -1, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -1, -1, 0, -1, 1, -2, -3, 0, 0, 0, 0, -2, 0, -1, -1, 0, 0, 0, 8, 0, 0, -2, 0, 0, -3, 1, 0, 0, 0, 2, 0, -6, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, -8, 0, 0, 0, -1, 11, 0, -2, 0, 0, 19, 0, 21, 0, 2, 0, 0, 0, 0, -3, 0, 0, 19, 1, 0, -7, 0, 0, 0, 0, 23, 0, -8, 0, -1, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, -1, 0, -1, -2, 3, 0, 0, 10, 1, 1, 0, 0, 0, 0, 2, 0, 0, -7, 1, 0, 0, 0, 0, 0, 1, -9, 0, -3, -1, 0, 0, 0, 12, 0, 1, 0, 0, 21, 0, 0, 0, 0, -7, 0, 0, 0, 0, -2, 0, 3, -1, 0, 0, 2, 1, 12, 0, 0, 0, 3, 0, 0, 0, 1, 2, -2, 0, 0, 1, 0, 0, 0, -1, 0, 0, 22, 0, 0, 0, 3, 0, 0, 0, -2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -9, 0, 21, -3, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -6, 0, 8, 0, 0, -11, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, -9, 0, 19, -2, 2, -1, 0, 0, 2, 0, 11, 0, -11, -4, -1, 0, 0, -1, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 2, 0, 8, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, -1, 0, -4, -3, 0, -7, 0, 0, 12, 0, -8, 0, 0, 21, 0, 0, 0, 2, 0, 0, -1, 2, 0, -11, 0, 0, 0, 0, -8, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 23, 0, -1, 0, 0, -1, 0, 2, 0, 0, -8, 0, -2, 0, 0, -2, -1, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, -8, 0, 0, 0, 0, -1, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, -1, 1, -2, 0, 0, 1, -1, -6, 0, 0, 0, -3, 0, 0, 0, 0, 3, -7, 0, 0, -1, 0, 0, 0, 19, 0, 0, -3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -3, -1, 0, -1, -3, 0, -4, 0, -11, 0, 0, 0, 0, 0, 2, 0, 23, 0, 11, 0, 0, -7, 0, 0, 0, 1, 0, 0, -9, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 2, 1, -1, 0, -3, -1, 0, 12, 0, 0, -3, 0, -1, 0, -2, 1, -3, 0, 0, -2, 0, 0, 9, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -3, 0, 0, 3, 0, -3, 0, 0, -6, 0, 0, -8, 0, -2, 0, -1, -1, 0, 0, 0, 1, 0, 0, -9, -1, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 0, -8, 2, 0, 0, 0, 0, 2, -1, 0, 0, -1, 0, -3, 0, 0, -20, 0, 0, 0, 0, 0, 0, -4, -9, 0, -4, 1, 0, 0, 0, -7, 0, -2, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 22, 1, 0, -2, 0, 0, 1, 1, -4, 0, 0, 0, 0, 0, 0, 0, -3, 1, -22, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, -1, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 21, 0, -13, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4, 0, -3, 0, -1, 0, 0, -2, 0, 0, -3, -2, 0, 0, -7, 0, 0, 0, 0, 0, 3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 20, 0, 0, -4, 1, 0, 0, 0, -2, 0, -11, 0, -8, 0, -3, 0, 0, 12, 0, 0, -8, 0, 0, 1, 2, 0, 0, 0, -1, 0, -2, 0, -10, -4, 0, 0, 0, 0, -3, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 2, -9, 0, 14, 0, 0, -9, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 43110130
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511005057320087, 'source_is_minimal': True, 'source_label': '1175.1.d.d.751.1', 'source_level': 1175, 'target_conrey_index': 751, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005057320087, 'target_is_minimal': True, 'target_label': '1175.1.d.d.751.1', 'target_level': 1175, 'twist_class_label': '1175.1.d.d.751.1', 'twist_class_level': 1175, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 43110131
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511005057320087, 'source_is_minimal': True, 'source_label': '1175.1.d.d.751.1', 'source_level': 1175, 'target_conrey_index': 1174, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007267990996119, 'target_is_minimal': False, 'target_label': '1175.1.b.c.1174.2', 'target_level': 1175, 'twist_class_label': '1175.1.d.d.751.1', 'twist_class_level': 1175, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 43110132
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511005057320087, 'source_is_minimal': True, 'source_label': '1175.1.d.d.751.1', 'source_level': 1175, 'target_conrey_index': 1174, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007267990996119, 'target_is_minimal': False, 'target_label': '1175.1.b.c.1174.7', 'target_level': 1175, 'twist_class_label': '1175.1.d.d.751.1', 'twist_class_level': 1175, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 43110133
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511005057320087, 'source_is_minimal': True, 'source_label': '1175.1.d.d.751.1', 'source_level': 1175, 'target_conrey_index': 751, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014604684690583, 'target_is_minimal': True, 'target_label': '1175.1.d.e.751.4', 'target_level': 1175, 'twist_class_label': '1175.1.d.d.751.1', 'twist_class_level': 1175, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 43110134
{'conductor': 47, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511005057320087, 'source_is_minimal': True, 'source_label': '1175.1.d.d.751.1', 'source_level': 1175, 'target_conrey_index': 751, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005057320087, 'target_is_minimal': True, 'target_label': '1175.1.d.d.751.1', 'target_level': 1175, 'twist_class_label': '1175.1.d.d.751.1', 'twist_class_level': 1175, 'twisting_char_label': '47.46', 'twisting_conrey_index': 46, 'weight': 1}
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id: 43110135
{'conductor': 235, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511005057320087, 'source_is_minimal': True, 'source_label': '1175.1.d.d.751.1', 'source_level': 1175, 'target_conrey_index': 1174, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007267990996119, 'target_is_minimal': False, 'target_label': '1175.1.b.c.1174.7', 'target_level': 1175, 'twist_class_label': '1175.1.d.d.751.1', 'twist_class_level': 1175, 'twisting_char_label': '235.93', 'twisting_conrey_index': 93, 'weight': 1}
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id: 43110136
{'conductor': 235, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 751, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511005057320087, 'source_is_minimal': True, 'source_label': '1175.1.d.d.751.1', 'source_level': 1175, 'target_conrey_index': 1174, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007267990996119, 'target_is_minimal': False, 'target_label': '1175.1.b.c.1174.2', 'target_level': 1175, 'twist_class_label': '1175.1.d.d.751.1', 'twist_class_level': 1175, 'twisting_char_label': '235.187', 'twisting_conrey_index': 187, 'weight': 1}
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id: 43110137
{'conductor': 235, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 751, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511005057320087, 'source_is_minimal': True, 'source_label': '1175.1.d.d.751.1', 'source_level': 1175, 'target_conrey_index': 751, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014604684690583, 'target_is_minimal': True, 'target_label': '1175.1.d.e.751.4', 'target_level': 1175, 'twist_class_label': '1175.1.d.d.751.1', 'twist_class_level': 1175, 'twisting_char_label': '235.234', 'twisting_conrey_index': 234, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 1743675
{'charpoly_factorization': [[[1, -4, -4, 1, 1], 1]], 'hecke_orbit_code': 13511005057320087, 'p': 2}
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id: 1743676
{'charpoly_factorization': [[[1, -4, -4, 1, 1], 1]], 'hecke_orbit_code': 13511005057320087, 'p': 3}
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id: 1743677
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 5}
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id: 1743678
{'charpoly_factorization': [[[1, -4, -4, 1, 1], 1]], 'hecke_orbit_code': 13511005057320087, 'p': 7}
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id: 1743679
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 11}
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id: 1743680
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 13}
-
id: 1743681
{'charpoly_factorization': [[[1, -4, -4, 1, 1], 1]], 'hecke_orbit_code': 13511005057320087, 'p': 17}
-
id: 1743682
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 19}
-
id: 1743683
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 23}
-
id: 1743684
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 29}
-
id: 1743685
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 31}
-
id: 1743686
{'charpoly_factorization': [[[-1, -1, 1], 2]], 'hecke_orbit_code': 13511005057320087, 'p': 37}
-
id: 1743687
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 41}
-
id: 1743688
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 43}
-
id: 1743689
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 47}
-
id: 1743690
{'charpoly_factorization': [[[-1, -1, 1], 2]], 'hecke_orbit_code': 13511005057320087, 'p': 53}
-
id: 1743691
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 1]], 'hecke_orbit_code': 13511005057320087, 'p': 59}
-
id: 1743692
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 13511005057320087, 'p': 61}
-
id: 1743693
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 67}
-
id: 1743694
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 1]], 'hecke_orbit_code': 13511005057320087, 'p': 71}
-
id: 1743695
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 73}
-
id: 1743696
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 13511005057320087, 'p': 79}
-
id: 1743697
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 13511005057320087, 'p': 83}
-
id: 1743698
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 13511005057320087, 'p': 89}
-
id: 1743699
{'charpoly_factorization': [[[-1, -1, 1], 2]], 'hecke_orbit_code': 13511005057320087, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 4, 'label': '1175.1.d.d', 'level': 1175, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 36187315
{'hecke_orbit_code': 13511005057320087, 'n': 1, 'trace_an': 4}
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id: 36187316
{'hecke_orbit_code': 13511005057320087, 'n': 2, 'trace_an': -1}
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id: 36187317
{'hecke_orbit_code': 13511005057320087, 'n': 3, 'trace_an': -1}
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id: 36187318
{'hecke_orbit_code': 13511005057320087, 'n': 4, 'trace_an': 5}
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id: 36187319
{'hecke_orbit_code': 13511005057320087, 'n': 5, 'trace_an': 0}
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id: 36187320
{'hecke_orbit_code': 13511005057320087, 'n': 6, 'trace_an': -1}
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id: 36187321
{'hecke_orbit_code': 13511005057320087, 'n': 7, 'trace_an': -1}
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id: 36187322
{'hecke_orbit_code': 13511005057320087, 'n': 8, 'trace_an': 1}
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id: 36187323
{'hecke_orbit_code': 13511005057320087, 'n': 9, 'trace_an': 5}
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id: 36187324
{'hecke_orbit_code': 13511005057320087, 'n': 10, 'trace_an': 0}
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id: 36187325
{'hecke_orbit_code': 13511005057320087, 'n': 11, 'trace_an': 0}
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id: 36187326
{'hecke_orbit_code': 13511005057320087, 'n': 12, 'trace_an': 5}
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id: 36187327
{'hecke_orbit_code': 13511005057320087, 'n': 13, 'trace_an': 0}
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id: 36187328
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