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mf_newforms • Show schema
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{'Nk2': 1368, 'analytic_conductor': 0.6827209372819473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 1368, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 109, 'char_orbit_label': 'ee', 'char_order': 18, 'char_parity': -1, 'char_values': [1368, 18, [343, 685, 1217, 1009], [9, 9, 15, 1]], 'cm_discs': [-8], 'conrey_index': 59, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[17, [27, 0, 0, 9, 0, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 7421720266072, '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, 8, 4, -1, 2, -8], [1, 1, 171, 24, 1, 18, 0], [1, 1, 1368, 109, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1368, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.6827209372819473, 'char_conductor': 1368, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 109, 'char_orbit_label': 'ee', 'char_order': 18, 'char_parity': -1, 'char_values': [1368, 18, [343, 685, 1217, 1009], [9, 9, 15, 1]], 'conrey_index': 59, 'cusp_dim': 12, 'dihedral_dim': 12, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 24, 'hecke_orbit_code': 7421720266072, 'hecke_orbit_dims': [6, 6], 'label': '1368.1.ee', 'level': 1368, '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, 19], 'level_radical': 114, 'mf_dim': 36, 'mf_new_dim': 36, 'num_forms': 2, 'prim_orbit_index': 109, 'relative_dim': 2, 's4_dim': 0, 'sturm_bound': 240, 'trace_bound': 3, 'trace_display': [0, -6, 0, 0], 'traces': [12, 0, -6, 0, 0, -6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 3, 0, 0, -9, 0, 0, 0, 0, 0, -6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -3, 6, -9, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -3, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 3, 0, 0, -12, 0, -3, 0, 0, 0, 0, 0, -3, 0, 0, 9, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 9, 3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, -6, 0, 0, 0, 0, 3, -6, 0, 0, 0, -9, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 9, 0, 0, 3, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -3, 0, 0, 0, 0, 0, 3, 6, 0, 3, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 3, 9, -6, 0, 0, 0, 0, 0, -3, 0, -9, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, -6, 0, -3, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, 0, 0, 0, 0, -6, 0, 0, 0, -3, 0, 0, -6, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 9, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 6, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 3, 0, -9, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -3, 0, 0, 0, 6, 0, -3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -3, 0, -9, 0, 0, 0, 0, 0, 0, -6, -12, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 3, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, -9, 0, 0, -3, 0, 9, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, -3, 0, -18, 0, 0, 0, -9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -9, 0, -9, 0, 0, 9, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, -6, 3, 0, 0, 0, 0, -3, -6, 0, 0, 12, 0, 0, 0, -9, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -3, 0, 0, 6, 0, -18, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, -6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 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, 6, -9, 0, 3, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 9, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, -3, -3, 9, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 3, -3, 0, 0, 0, 0, -9, 0, 0, -3, 0, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 33658925
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1307, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7421720266072, 'source_is_minimal': True, 'source_label': '1368.1.ee.a.1307.1', 'source_level': 1368, 'target_conrey_index': 1307, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7421720266072, 'target_is_minimal': True, 'target_label': '1368.1.ee.a.1307.1', 'target_level': 1368, 'twist_class_label': '1368.1.dk.a.299.1', 'twist_class_level': 1368, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 33658926
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1307, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7421720266072, 'source_is_minimal': True, 'source_label': '1368.1.ee.a.1307.1', 'source_level': 1368, 'target_conrey_index': 1307, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7421720266072, 'target_is_minimal': True, 'target_label': '1368.1.ee.a.1307.1', 'target_level': 1368, 'twist_class_label': '1368.1.dk.a.299.1', 'twist_class_level': 1368, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 33658927
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1307, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7421720266072, 'source_is_minimal': True, 'source_label': '1368.1.ee.a.1307.1', 'source_level': 1368, 'target_conrey_index': 851, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 6047330731352, 'target_is_minimal': True, 'target_label': '1368.1.dk.a.851.1', 'target_level': 1368, 'twist_class_label': '1368.1.dk.a.299.1', 'twist_class_level': 1368, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 33658928
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1307, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7421720266072, 'source_is_minimal': True, 'source_label': '1368.1.ee.a.1307.1', 'source_level': 1368, 'target_conrey_index': 299, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 6047330731352, 'target_is_minimal': True, 'target_label': '1368.1.dk.a.299.1', 'target_level': 1368, 'twist_class_label': '1368.1.dk.a.299.1', 'twist_class_level': 1368, 'twisting_char_label': '19.14', 'twisting_conrey_index': 14, 'weight': 1}
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id: 33658929
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1307, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7421720266072, 'source_is_minimal': True, 'source_label': '1368.1.ee.a.1307.1', 'source_level': 1368, 'target_conrey_index': 851, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 6047330731352, 'target_is_minimal': True, 'target_label': '1368.1.dk.a.851.1', 'target_level': 1368, 'twist_class_label': '1368.1.dk.a.299.1', 'twist_class_level': 1368, 'twisting_char_label': '72.59', 'twisting_conrey_index': 59, 'weight': 1}
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id: 33658930
{'conductor': 152, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1307, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7421720266072, 'source_is_minimal': True, 'source_label': '1368.1.ee.a.1307.1', 'source_level': 1368, 'target_conrey_index': 299, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 6047330731352, 'target_is_minimal': True, 'target_label': '1368.1.dk.a.299.1', 'target_level': 1368, 'twist_class_label': '1368.1.dk.a.299.1', 'twist_class_level': 1368, 'twisting_char_label': '152.147', 'twisting_conrey_index': 147, 'weight': 1}
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id: 33658931
{'conductor': 171, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1307, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7421720266072, 'source_is_minimal': True, 'source_label': '1368.1.ee.a.1307.1', 'source_level': 1368, 'target_conrey_index': 1211, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7421720266072, 'target_is_minimal': True, 'target_label': '1368.1.ee.a.1211.1', 'target_level': 1368, 'twist_class_label': '1368.1.dk.a.299.1', 'twist_class_level': 1368, 'twisting_char_label': '171.14', 'twisting_conrey_index': 14, 'weight': 1}
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id: 33658932
{'conductor': 1368, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1307, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 7421720266072, 'source_is_minimal': True, 'source_label': '1368.1.ee.a.1307.1', 'source_level': 1368, 'target_conrey_index': 1211, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7421720266072, 'target_is_minimal': True, 'target_label': '1368.1.ee.a.1211.1', 'target_level': 1368, 'twist_class_label': '1368.1.dk.a.299.1', 'twist_class_level': 1368, 'twisting_char_label': '1368.1211', 'twisting_conrey_index': 1211, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 1900925
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 2}
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id: 1900926
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 3}
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id: 1900927
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 5}
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id: 1900928
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 7}
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id: 1900929
{'charpoly_factorization': [[[3, 0, 9, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 11}
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id: 1900930
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 13}
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id: 1900931
{'charpoly_factorization': [[[27, 0, 0, 9, 0, 0, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 17}
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id: 1900932
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 19}
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id: 1900933
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 23}
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id: 1900934
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 29}
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id: 1900935
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 31}
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id: 1900936
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 37}
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id: 1900937
{'charpoly_factorization': [[[1, -6, 12, -8, 6, -3, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 41}
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id: 1900938
{'charpoly_factorization': [[[64, 0, 0, -8, 0, 0, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 43}
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id: 1900939
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 47}
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id: 1900940
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 53}
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id: 1900941
{'charpoly_factorization': [[[1, 6, 12, 8, 6, 3, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 59}
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id: 1900942
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 61}
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id: 1900943
{'charpoly_factorization': [[[3, 0, 0, -6, 6, -3, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 67}
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id: 1900944
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 71}
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id: 1900945
{'charpoly_factorization': [[[1, 3, 3, -8, 6, -3, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 73}
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id: 1900946
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 7421720266072, 'p': 79}
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id: 1900947
{'charpoly_factorization': [[[3, -9, 9, 0, -3, 0, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 83}
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id: 1900948
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 89}
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id: 1900949
{'charpoly_factorization': [[[3, -9, 9, -6, 6, -3, 1], 1]], 'hecke_orbit_code': 7421720266072, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 109, 'hecke_orbit': 1, 'label': '1368.1.ee.a', 'level': 1368, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 15859068
{'hecke_orbit_code': 7421720266072, 'n': 1, 'trace_an': 6}
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id: 15859069
{'hecke_orbit_code': 7421720266072, 'n': 2, 'trace_an': 0}
-
id: 15859070
{'hecke_orbit_code': 7421720266072, 'n': 3, 'trace_an': -6}
-
id: 15859071
{'hecke_orbit_code': 7421720266072, 'n': 4, 'trace_an': 0}
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id: 15859072
{'hecke_orbit_code': 7421720266072, 'n': 5, 'trace_an': 0}
-
id: 15859073
{'hecke_orbit_code': 7421720266072, 'n': 6, 'trace_an': 0}
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id: 15859074
{'hecke_orbit_code': 7421720266072, 'n': 7, 'trace_an': 0}
-
id: 15859075
{'hecke_orbit_code': 7421720266072, 'n': 8, 'trace_an': -3}
-
id: 15859076
{'hecke_orbit_code': 7421720266072, 'n': 9, 'trace_an': 6}
-
id: 15859077
{'hecke_orbit_code': 7421720266072, 'n': 10, 'trace_an': 0}
-
id: 15859078
{'hecke_orbit_code': 7421720266072, 'n': 11, 'trace_an': 0}
-
id: 15859079
{'hecke_orbit_code': 7421720266072, 'n': 12, 'trace_an': 0}
-
id: 15859080
{'hecke_orbit_code': 7421720266072, 'n': 13, 'trace_an': 0}
-
id: 15859081
{'hecke_orbit_code': 7421720266072, 'n': 14, 'trace_an': 0}
-
id: 15859082
{'hecke_orbit_code': 7421720266072, 'n': 15, 'trace_an': 0}
-
id: 15859083
{'hecke_orbit_code': 7421720266072, 'n': 16, 'trace_an': 0}
-
id: 15859084
{'hecke_orbit_code': 7421720266072, 'n': 17, 'trace_an': 0}
-
id: 15859085
{'hecke_orbit_code': 7421720266072, 'n': 18, 'trace_an': 0}
-
id: 15859086
{'hecke_orbit_code': 7421720266072, 'n': 19, 'trace_an': 0}
-
id: 15859087
{'hecke_orbit_code': 7421720266072, 'n': 20, 'trace_an': 0}
-
id: 15859088
{'hecke_orbit_code': 7421720266072, 'n': 21, 'trace_an': 0}
-
id: 15859089
{'hecke_orbit_code': 7421720266072, 'n': 22, 'trace_an': 3}
-
id: 15859090
{'hecke_orbit_code': 7421720266072, 'n': 23, 'trace_an': 0}
-
id: 15859091
{'hecke_orbit_code': 7421720266072, 'n': 24, 'trace_an': 3}
-
id: 15859092
{'hecke_orbit_code': 7421720266072, 'n': 25, 'trace_an': 0}
-
id: 15859093
{'hecke_orbit_code': 7421720266072, 'n': 26, 'trace_an': 0}
-
id: 15859094
{'hecke_orbit_code': 7421720266072, 'n': 27, 'trace_an': -6}
-
id: 15859095
{'hecke_orbit_code': 7421720266072, 'n': 28, 'trace_an': 0}
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