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mf_newforms • Show schema
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{'Nk2': 3744, 'analytic_conductor': 1.868499407297961, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 175, 'char_orbit_label': 'gs', 'char_order': 12, 'char_parity': -1, 'char_values': [3744, 12, [703, 2341, 2081, 2017], [12, 12, 12, 11]], 'cm_discs': [-4], 'conrey_index': 865, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 2, 2, -2, 1]], [17, [3, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4515556833103520, 'hecke_ring_generator_nbound': 13, '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, 13, 6, -1, 12, 0], [1, 1, 52, 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mf_hecke_cc • Show schema
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'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': 0.5, 'embedding_root_real': -0.8660254037844386, 'hecke_orbit': 2, 'hecke_orbit_code': 4515556833103520, 'label': '3744.1.gs.b.2017.1', 'level': 3744, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 3744, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.868499407297961, 'char_conductor': 13, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 175, 'char_orbit_label': 'gs', 'char_order': 12, 'char_parity': -1, 'char_values': [3744, 12, [703, 2341, 2081, 2017], [12, 12, 12, 11]], 'conrey_index': 865, 'cusp_dim': 48, 'dihedral_dim': 12, 'dim': 12, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_orbit_code': 11957205733024, 'hecke_orbit_dims': [4, 4, 4], 'label': '3744.1.gs', 'level': 3744, '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, 3, 13], 'level_radical': 78, 'mf_dim': 176, 'mf_new_dim': 12, 'num_forms': 3, 'prim_orbit_index': 6, 'relative_dim': 3, 's4_dim': 0, 'sturm_bound': 672, 'trace_bound': 17, 'trace_display': [0, 0, 2, 0], 'traces': [12, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -2, 0, 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, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 8, 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, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -2, 0, 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, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 40089226
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2017, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4515556833103520, 'source_is_minimal': True, 'source_label': '3744.1.gs.b.2017.1', 'source_level': 3744, 'target_conrey_index': 2017, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4515556833103520, 'target_is_minimal': True, 'target_label': '3744.1.gs.b.2017.1', 'target_level': 3744, 'twist_class_label': '3744.1.gs.a.865.1', 'twist_class_level': 3744, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 40089227
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2017, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4515556833103520, 'source_is_minimal': True, 'source_label': '3744.1.gs.b.2017.1', 'source_level': 3744, 'target_conrey_index': 2017, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 11957205733024, 'target_is_minimal': True, 'target_label': '3744.1.gs.a.2017.1', 'target_level': 3744, 'twist_class_label': '3744.1.gs.a.865.1', 'twist_class_level': 3744, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 40089228
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2017, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4515556833103520, 'source_is_minimal': True, 'source_label': '3744.1.gs.b.2017.1', 'source_level': 3744, 'target_conrey_index': 2017, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4515556833103520, 'target_is_minimal': True, 'target_label': '3744.1.gs.b.2017.1', 'target_level': 3744, 'twist_class_label': '3744.1.gs.a.865.1', 'twist_class_level': 3744, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 40089229
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2017, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4515556833103520, 'source_is_minimal': True, 'source_label': '3744.1.gs.b.2017.1', 'source_level': 3744, 'target_conrey_index': 2017, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 11957205733024, 'target_is_minimal': True, 'target_label': '3744.1.gs.a.2017.1', 'target_level': 3744, 'twist_class_label': '3744.1.gs.a.865.1', 'twist_class_level': 3744, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 40089230
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2017, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4515556833103520, 'source_is_minimal': True, 'source_label': '3744.1.gs.b.2017.1', 'source_level': 3744, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4515556833103520, 'target_is_minimal': True, 'target_label': '3744.1.gs.b.865.1', 'target_level': 3744, 'twist_class_label': '3744.1.gs.a.865.1', 'twist_class_level': 3744, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 1}
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id: 40089231
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2017, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4515556833103520, 'source_is_minimal': True, 'source_label': '3744.1.gs.b.2017.1', 'source_level': 3744, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 11957205733024, 'target_is_minimal': True, 'target_label': '3744.1.gs.a.865.1', 'target_level': 3744, 'twist_class_label': '3744.1.gs.a.865.1', 'twist_class_level': 3744, 'twisting_char_label': '39.20', 'twisting_conrey_index': 20, 'weight': 1}
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id: 40089232
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2017, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4515556833103520, 'source_is_minimal': True, 'source_label': '3744.1.gs.b.2017.1', 'source_level': 3744, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4515556833103520, 'target_is_minimal': True, 'target_label': '3744.1.gs.b.865.1', 'target_level': 3744, 'twist_class_label': '3744.1.gs.a.865.1', 'twist_class_level': 3744, 'twisting_char_label': '52.7', 'twisting_conrey_index': 7, 'weight': 1}
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id: 40089233
{'conductor': 156, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2017, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4515556833103520, 'source_is_minimal': True, 'source_label': '3744.1.gs.b.2017.1', 'source_level': 3744, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 11957205733024, 'target_is_minimal': True, 'target_label': '3744.1.gs.a.865.1', 'target_level': 3744, 'twist_class_label': '3744.1.gs.a.865.1', 'twist_class_level': 3744, 'twisting_char_label': '156.59', 'twisting_conrey_index': 59, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 3336475
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 2}
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id: 3336476
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 3}
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id: 3336477
{'charpoly_factorization': [[[1, 2, 2, -2, 1], 1]], 'hecke_orbit_code': 4515556833103520, 'p': 5}
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id: 3336478
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 7}
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id: 3336479
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 11}
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id: 3336480
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4515556833103520, 'p': 13}
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id: 3336481
{'charpoly_factorization': [[[3, 3, 1], 2]], 'hecke_orbit_code': 4515556833103520, 'p': 17}
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id: 3336482
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 19}
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id: 3336483
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 23}
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id: 3336484
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 4515556833103520, 'p': 29}
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id: 3336485
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 31}
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id: 3336486
{'charpoly_factorization': [[[1, 4, 5, 2, 1], 1]], 'hecke_orbit_code': 4515556833103520, 'p': 37}
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id: 3336487
{'charpoly_factorization': [[[1, -4, 5, -2, 1], 1]], 'hecke_orbit_code': 4515556833103520, 'p': 41}
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id: 3336488
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 43}
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id: 3336489
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 47}
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id: 3336490
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 4515556833103520, 'p': 53}
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id: 3336491
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 59}
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id: 3336492
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 4515556833103520, 'p': 61}
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id: 3336493
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 67}
-
id: 3336494
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 71}
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id: 3336495
{'charpoly_factorization': [[[1, 2, 2, -2, 1], 1]], 'hecke_orbit_code': 4515556833103520, 'p': 73}
-
id: 3336496
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 79}
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id: 3336497
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4515556833103520, 'p': 83}
-
id: 3336498
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 4515556833103520, 'p': 89}
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id: 3336499
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 1]], 'hecke_orbit_code': 4515556833103520, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 175, 'hecke_orbit': 2, 'label': '3744.1.gs.b', 'level': 3744, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 25992961
{'hecke_orbit_code': 4515556833103520, 'n': 1, 'trace_an': 4}
-
id: 25992962
{'hecke_orbit_code': 4515556833103520, 'n': 2, 'trace_an': 0}
-
id: 25992963
{'hecke_orbit_code': 4515556833103520, 'n': 3, 'trace_an': 0}
-
id: 25992964
{'hecke_orbit_code': 4515556833103520, 'n': 4, 'trace_an': 0}
-
id: 25992965
{'hecke_orbit_code': 4515556833103520, 'n': 5, 'trace_an': 2}
-
id: 25992966
{'hecke_orbit_code': 4515556833103520, 'n': 6, 'trace_an': 0}
-
id: 25992967
{'hecke_orbit_code': 4515556833103520, 'n': 7, 'trace_an': 0}
-
id: 25992968
{'hecke_orbit_code': 4515556833103520, 'n': 8, 'trace_an': 0}
-
id: 25992969
{'hecke_orbit_code': 4515556833103520, 'n': 9, 'trace_an': 0}
-
id: 25992970
{'hecke_orbit_code': 4515556833103520, 'n': 10, 'trace_an': 0}
-
id: 25992971
{'hecke_orbit_code': 4515556833103520, 'n': 11, 'trace_an': 0}
-
id: 25992972
{'hecke_orbit_code': 4515556833103520, 'n': 12, 'trace_an': 0}
-
id: 25992973
{'hecke_orbit_code': 4515556833103520, 'n': 13, 'trace_an': 0}
-
id: 25992974
{'hecke_orbit_code': 4515556833103520, 'n': 14, 'trace_an': 0}
-
id: 25992975
{'hecke_orbit_code': 4515556833103520, 'n': 15, 'trace_an': 0}
-
id: 25992976
{'hecke_orbit_code': 4515556833103520, 'n': 16, 'trace_an': 0}
-
id: 25992977
{'hecke_orbit_code': 4515556833103520, 'n': 17, 'trace_an': -6}
-
id: 25992978
{'hecke_orbit_code': 4515556833103520, 'n': 18, 'trace_an': 0}
-
id: 25992979
{'hecke_orbit_code': 4515556833103520, 'n': 19, 'trace_an': 0}
-
id: 25992980
{'hecke_orbit_code': 4515556833103520, 'n': 20, 'trace_an': 0}
-
id: 25992981
{'hecke_orbit_code': 4515556833103520, 'n': 21, 'trace_an': 0}
-
id: 25992982
{'hecke_orbit_code': 4515556833103520, 'n': 22, 'trace_an': 0}
-
id: 25992983
{'hecke_orbit_code': 4515556833103520, 'n': 23, 'trace_an': 0}
-
id: 25992984
{'hecke_orbit_code': 4515556833103520, 'n': 24, 'trace_an': 0}
-
id: 25992985
{'hecke_orbit_code': 4515556833103520, 'n': 25, 'trace_an': 0}
-
id: 25992986
{'hecke_orbit_code': 4515556833103520, 'n': 26, 'trace_an': 0}
-
id: 25992987
{'hecke_orbit_code': 4515556833103520, 'n': 27, 'trace_an': 0}
-
id: 25992988
{'hecke_orbit_code': 4515556833103520, 'n': 28, 'trace_an': 0}
-
id: 25992989
{'hecke_orbit_code': 4515556833103520, 'n': 29, 'trace_an': -2}
-
id: 25992990
{'hecke_orbit_code': 4515556833103520, 'n': 30, 'trace_an': 0}
-
id: 25992991
{'hecke_orbit_code': 4515556833103520, 'n': 31, 'trace_an': 0}
-
id: 25992992
{'hecke_orbit_code': 4515556833103520, 'n': 32, 'trace_an': 0}
-
id: 25992993
{'hecke_orbit_code': 4515556833103520, 'n': 33, 'trace_an': 0}
-
id: 25992994
{'hecke_orbit_code': 4515556833103520, 'n': 34, 'trace_an': 0}
-
id: 25992995
{'hecke_orbit_code': 4515556833103520, 'n': 35, 'trace_an': 0}
-
id: 25992996
{'hecke_orbit_code': 4515556833103520, 'n': 36, 'trace_an': 0}
-
id: 25992997
{'hecke_orbit_code': 4515556833103520, 'n': 37, 'trace_an': -2}
-
id: 25992998
{'hecke_orbit_code': 4515556833103520, 'n': 38, 'trace_an': 0}
-
id: 25992999
{'hecke_orbit_code': 4515556833103520, 'n': 39, 'trace_an': 0}
-
id: 25993000
{'hecke_orbit_code': 4515556833103520, 'n': 40, 'trace_an': 0}
-
id: 25993001
{'hecke_orbit_code': 4515556833103520, 'n': 41, 'trace_an': 2}
-
id: 25993002
{'hecke_orbit_code': 4515556833103520, 'n': 42, 'trace_an': 0}
-
id: 25993003
{'hecke_orbit_code': 4515556833103520, 'n': 43, 'trace_an': 0}
-
id: 25993004
{'hecke_orbit_code': 4515556833103520, 'n': 44, 'trace_an': 0}
-
id: 25993005
{'hecke_orbit_code': 4515556833103520, 'n': 45, 'trace_an': 0}
-
id: 25993006
{'hecke_orbit_code': 4515556833103520, 'n': 46, 'trace_an': 0}
-
id: 25993007
{'hecke_orbit_code': 4515556833103520, 'n': 47, 'trace_an': 0}
-
id: 25993008
{'hecke_orbit_code': 4515556833103520, 'n': 48, 'trace_an': 0}
-
id: 25993009
{'hecke_orbit_code': 4515556833103520, 'n': 49, 'trace_an': 0}
-
id: 25993010
{'hecke_orbit_code': 4515556833103520, 'n': 50, 'trace_an': 0}
-
id: 25993011
{'hecke_orbit_code': 4515556833103520, 'n': 51, 'trace_an': 0}
-
id: 25993012
{'hecke_orbit_code': 4515556833103520, 'n': 52, 'trace_an': 0}
-
id: 25993013
{'hecke_orbit_code': 4515556833103520, 'n': 53, 'trace_an': 0}
-
id: 25993014
{'hecke_orbit_code': 4515556833103520, 'n': 54, 'trace_an': 0}
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