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{'Nk2': 12960, 'analytic_conductor': 25.871530254894843, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3240, 1, [2431, 1621, 3161, 1297], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [0, 1]], [11, [-1, 1]], [17, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288298664, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 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mf_hecke_cc • Show schema
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'embedding_root_real': 0.0, 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288298664, 'label': '3240.2.a.c.1.1', 'level': 3240, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 8, 7, 4, 6, 5, 6, 7], 'Nk2': 12960, 'analytic_conductor': 25.871530254894843, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3240, 1, [2431, 1621, 3161, 1297], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 601, 'dim': 48, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 33557672, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4], 'label': '3240.2.a', 'level': 3240, '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, 5], 'level_radical': 30, 'mf_dim': 696, 'mf_new_dim': 48, 'num_forms': 22, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 1296, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, -300, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -324, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40153820
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288298664, 'source_is_minimal': True, 'source_label': '3240.2.a.c.1.1', 'source_level': 3240, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288298664, 'target_is_minimal': True, 'target_label': '3240.2.a.c.1.1', 'target_level': 3240, 'twist_class_label': '3240.2.a.c.1.1', 'twist_class_level': 3240, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40153821
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288298664, 'source_is_minimal': True, 'source_label': '3240.2.a.c.1.1', 'source_level': 3240, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543039656, 'target_is_minimal': True, 'target_label': '3240.2.a.e.1.1', 'target_level': 3240, 'twist_class_label': '3240.2.a.c.1.1', 'twist_class_level': 3240, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40153822
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288298664, 'source_is_minimal': True, 'source_label': '3240.2.a.c.1.1', 'source_level': 3240, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915672400, 'target_is_minimal': False, 'target_label': '6480.2.a.d.1.1', 'target_level': 6480, 'twist_class_label': '3240.2.a.c.1.1', 'twist_class_level': 3240, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40153823
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288298664, 'source_is_minimal': True, 'source_label': '3240.2.a.c.1.1', 'source_level': 3240, 'target_conrey_index': 1081, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682037928, 'target_is_minimal': False, 'target_label': '3240.2.q.f.1081.1', 'target_level': 3240, 'twist_class_label': '3240.2.a.c.1.1', 'twist_class_level': 3240, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40153824
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288298664, 'source_is_minimal': True, 'source_label': '3240.2.a.c.1.1', 'source_level': 3240, 'target_conrey_index': 2161, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76562293210483880, 'target_is_minimal': False, 'target_label': '3240.2.q.r.2161.1', 'target_level': 3240, 'twist_class_label': '3240.2.a.c.1.1', 'twist_class_level': 3240, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40153825
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288298664, 'source_is_minimal': True, 'source_label': '3240.2.a.c.1.1', 'source_level': 3240, 'target_conrey_index': 2161, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519097682037928, 'target_is_minimal': False, 'target_label': '3240.2.q.f.2161.1', 'target_level': 3240, 'twist_class_label': '3240.2.a.c.1.1', 'twist_class_level': 3240, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40153826
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288298664, 'source_is_minimal': True, 'source_label': '3240.2.a.c.1.1', 'source_level': 3240, 'target_conrey_index': 1081, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76562293210483880, 'target_is_minimal': False, 'target_label': '3240.2.q.r.1081.1', 'target_level': 3240, 'twist_class_label': '3240.2.a.c.1.1', 'twist_class_level': 3240, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40153827
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288298664, 'source_is_minimal': True, 'source_label': '3240.2.a.c.1.1', 'source_level': 3240, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326229840, 'target_is_minimal': False, 'target_label': '6480.2.a.s.1.1', 'target_level': 6480, 'twist_class_label': '3240.2.a.c.1.1', 'twist_class_level': 3240, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3076950
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 2}
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id: 3076951
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 3}
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id: 3076952
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 5}
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id: 3076953
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 7}
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id: 3076954
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 11}
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id: 3076955
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 13}
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id: 3076956
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 17}
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id: 3076957
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 19}
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id: 3076958
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 23}
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id: 3076959
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 29}
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id: 3076960
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 31}
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id: 3076961
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 37}
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id: 3076962
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 41}
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id: 3076963
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 43}
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id: 3076964
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 47}
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id: 3076965
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 53}
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id: 3076966
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 59}
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id: 3076967
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 61}
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id: 3076968
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 67}
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id: 3076969
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 71}
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id: 3076970
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 73}
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id: 3076971
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 79}
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id: 3076972
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 83}
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id: 3076973
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 89}
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id: 3076974
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288298664, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '3240.2.a.c', 'level': 3240, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 26740903
{'hecke_orbit_code': 9007199288298664, 'n': 1, 'trace_an': 1}
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id: 26740904
{'hecke_orbit_code': 9007199288298664, 'n': 2, 'trace_an': 0}
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id: 26740905
{'hecke_orbit_code': 9007199288298664, 'n': 3, 'trace_an': 0}
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id: 26740906
{'hecke_orbit_code': 9007199288298664, 'n': 4, 'trace_an': 0}
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id: 26740907
{'hecke_orbit_code': 9007199288298664, 'n': 5, 'trace_an': -1}
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id: 26740908
{'hecke_orbit_code': 9007199288298664, 'n': 6, 'trace_an': 0}
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id: 26740909
{'hecke_orbit_code': 9007199288298664, 'n': 7, 'trace_an': 0}
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id: 26740910
{'hecke_orbit_code': 9007199288298664, 'n': 8, 'trace_an': 0}
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id: 26740911
{'hecke_orbit_code': 9007199288298664, 'n': 9, 'trace_an': 0}
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id: 26740912
{'hecke_orbit_code': 9007199288298664, 'n': 10, 'trace_an': 0}
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id: 26740913
{'hecke_orbit_code': 9007199288298664, 'n': 11, 'trace_an': 1}
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id: 26740914
{'hecke_orbit_code': 9007199288298664, 'n': 12, 'trace_an': 0}
-
id: 26740915
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