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mf_newforms • Show schema
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{'Nk2': 12960, 'analytic_conductor': 25.871530254894843, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [3240, 3, [2431, 1621, 3161, 1297], [3, 3, 1, 3]], 'cm_discs': [], 'conrey_index': 1081, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [0, 1]], [11, [1, -1, 1]], [17, [0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22519097682037928, 'hecke_ring_generator_nbound': 5, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 12960, 'analytic_conductor': 25.871530254894843, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [3240, 3, [2431, 1621, 3161, 1297], [3, 3, 1, 3]], 'conrey_index': 1081, 'cusp_dim': 1200, 'dim': 96, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 1099545185448, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '3240.2.q', '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': 1392, 'mf_new_dim': 96, 'num_forms': 34, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 1296, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -60, 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, -12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 132, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45391469
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682037928, 'source_is_minimal': False, 'source_label': '3240.2.q.f.1081.1', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45391470
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682037928, 'source_is_minimal': False, 'source_label': '3240.2.q.f.1081.1', '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45391471
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682037928, 'source_is_minimal': False, 'source_label': '3240.2.q.f.1081.1', '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': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45391472
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682037928, 'source_is_minimal': False, 'source_label': '3240.2.q.f.1081.1', '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': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45391473
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682037928, 'source_is_minimal': False, 'source_label': '3240.2.q.f.1081.1', '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': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45391474
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682037928, 'source_is_minimal': False, 'source_label': '3240.2.q.f.1081.1', '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': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45391475
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682037928, 'source_is_minimal': False, 'source_label': '3240.2.q.f.1081.1', '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': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45391476
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1081, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22519097682037928, 'source_is_minimal': False, 'source_label': '3240.2.q.f.1081.1', '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': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3047200
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 2}
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id: 3047201
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 3}
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id: 3047202
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 5}
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id: 3047203
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 7}
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id: 3047204
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 11}
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id: 3047205
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 13}
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id: 3047206
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 17}
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id: 3047207
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 19}
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id: 3047208
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 23}
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id: 3047209
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 29}
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id: 3047210
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 31}
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id: 3047211
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 37}
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id: 3047212
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 41}
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id: 3047213
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 43}
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id: 3047214
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 47}
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id: 3047215
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 53}
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id: 3047216
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 59}
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id: 3047217
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 61}
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id: 3047218
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 67}
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id: 3047219
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 71}
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id: 3047220
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 73}
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id: 3047221
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 79}
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id: 3047222
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 83}
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id: 3047223
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 22519097682037928, 'p': 89}
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id: 3047224
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 22519097682037928, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 6, 'label': '3240.2.q.f', 'level': 3240, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44843473
{'hecke_orbit_code': 22519097682037928, 'n': 1, 'trace_an': 2}
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id: 44843474
{'hecke_orbit_code': 22519097682037928, 'n': 2, 'trace_an': 0}
-
id: 44843475
{'hecke_orbit_code': 22519097682037928, 'n': 3, 'trace_an': 0}
-
id: 44843476
{'hecke_orbit_code': 22519097682037928, 'n': 4, 'trace_an': 0}
-
id: 44843477
{'hecke_orbit_code': 22519097682037928, 'n': 5, 'trace_an': -1}
-
id: 44843478
{'hecke_orbit_code': 22519097682037928, 'n': 6, 'trace_an': 0}
-
id: 44843479
{'hecke_orbit_code': 22519097682037928, 'n': 7, 'trace_an': 0}
-
id: 44843480
{'hecke_orbit_code': 22519097682037928, 'n': 8, 'trace_an': 0}
-
id: 44843481
{'hecke_orbit_code': 22519097682037928, 'n': 9, 'trace_an': 0}
-
id: 44843482
{'hecke_orbit_code': 22519097682037928, 'n': 10, 'trace_an': 0}
-
id: 44843483
{'hecke_orbit_code': 22519097682037928, 'n': 11, 'trace_an': 1}
-
id: 44843484
{'hecke_orbit_code': 22519097682037928, 'n': 12, 'trace_an': 0}
-
id: 44843485
{'hecke_orbit_code': 22519097682037928, 'n': 13, 'trace_an': 0}
-
id: 44843486
{'hecke_orbit_code': 22519097682037928, 'n': 14, 'trace_an': 0}
-
id: 44843487
{'hecke_orbit_code': 22519097682037928, 'n': 15, 'trace_an': 0}
-
id: 44843488
{'hecke_orbit_code': 22519097682037928, 'n': 16, 'trace_an': 0}
-
id: 44843489
{'hecke_orbit_code': 22519097682037928, 'n': 17, 'trace_an': 0}
-
id: 44843490
{'hecke_orbit_code': 22519097682037928, 'n': 18, 'trace_an': 0}
-
id: 44843491
{'hecke_orbit_code': 22519097682037928, 'n': 19, 'trace_an': -14}
-
id: 44843492
{'hecke_orbit_code': 22519097682037928, 'n': 20, 'trace_an': 0}
-
id: 44843493
{'hecke_orbit_code': 22519097682037928, 'n': 21, 'trace_an': 0}
-
id: 44843494
{'hecke_orbit_code': 22519097682037928, 'n': 22, 'trace_an': 0}
-
id: 44843495
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