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mf_newforms • Show schema
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{'Nk2': 4800, 'analytic_conductor': 9.582048242553647, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [1, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 1151, 'conrey_indexes': [1151], '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, [3, 1]], [13, [2, 1]], [23, [-6, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525678461486256, 'hecke_ring_generator_nbound': 3, '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, 12, 2, 1, 2, 0]], 'is_cm': False, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 4800, 'analytic_conductor': 9.582048242553647, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [1, 2, 1, 2]], 'conrey_index': 1151, 'cusp_dim': 204, 'dim': 38, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 23], 'hecke_orbit_code': 481069892784, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '1200.2.h', 'level': 1200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 276, 'mf_new_dim': 38, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 38, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [38, 0, 0, 0, 0, 0, 0, 0, -6, 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, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 46315959
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525678461486256, 'target_is_minimal': True, 'target_label': '1200.2.h.h.1151.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46315960
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697263280, 'target_is_minimal': True, 'target_label': '1200.2.h.b.1151.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46315961
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697263280, 'target_is_minimal': True, 'target_label': '1200.2.h.b.1151.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46315962
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008161360970928, 'target_is_minimal': False, 'target_label': '1200.2.o.c.1199.3', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46315963
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008161360970928, 'target_is_minimal': False, 'target_label': '1200.2.o.c.1199.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46315964
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069892784, 'target_is_minimal': True, 'target_label': '1200.2.h.a.1151.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46315965
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525678461486256, 'target_is_minimal': True, 'target_label': '1200.2.h.h.1151.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46315966
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511760988341424, 'target_is_minimal': False, 'target_label': '1200.2.o.d.1199.4', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46315967
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988341424, 'target_is_minimal': False, 'target_label': '1200.2.o.d.1199.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46315968
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029278088856752, 'target_is_minimal': True, 'target_label': '1200.2.h.i.1151.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46315969
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511760988341424, 'target_is_minimal': False, 'target_label': '1200.2.o.d.1199.3', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46315970
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511760988341424, 'target_is_minimal': False, 'target_label': '1200.2.o.d.1199.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46315971
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029278088856752, 'target_is_minimal': True, 'target_label': '1200.2.h.i.1151.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46315972
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008161360970928, 'target_is_minimal': False, 'target_label': '1200.2.o.c.1199.4', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46315973
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008161360970928, 'target_is_minimal': False, 'target_label': '1200.2.o.c.1199.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46315974
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525678461486256, 'source_is_minimal': True, 'source_label': '1200.2.h.h.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069892784, 'target_is_minimal': True, 'target_label': '1200.2.h.a.1151.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1761575
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 2}
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id: 1761576
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 3}
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id: 1761577
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 5}
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id: 1761578
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 7}
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id: 1761579
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 11}
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id: 1761580
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 13}
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id: 1761581
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 17}
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id: 1761582
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 19}
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id: 1761583
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 23}
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id: 1761584
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 29}
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id: 1761585
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 31}
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id: 1761586
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 37}
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id: 1761587
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 41}
-
id: 1761588
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 43}
-
id: 1761589
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 47}
-
id: 1761590
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 53}
-
id: 1761591
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 59}
-
id: 1761592
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 61}
-
id: 1761593
{'charpoly_factorization': [[[147, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 67}
-
id: 1761594
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 71}
-
id: 1761595
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 73}
-
id: 1761596
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 79}
-
id: 1761597
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 83}
-
id: 1761598
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 31525678461486256, 'p': 89}
-
id: 1761599
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 31525678461486256, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 8, 'label': '1200.2.h.h', 'level': 1200, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 193945000
{'hecke_orbit_code': 31525678461486256, 'n': 1, 'trace_an': 2}
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id: 193945001
{'hecke_orbit_code': 31525678461486256, 'n': 2, 'trace_an': 0}
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id: 193945002
{'hecke_orbit_code': 31525678461486256, 'n': 3, 'trace_an': 3}
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id: 193945003
{'hecke_orbit_code': 31525678461486256, 'n': 4, 'trace_an': 0}
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id: 193945004
{'hecke_orbit_code': 31525678461486256, 'n': 5, 'trace_an': 0}
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id: 193945005
{'hecke_orbit_code': 31525678461486256, 'n': 6, 'trace_an': 0}
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id: 193945006
{'hecke_orbit_code': 31525678461486256, 'n': 7, 'trace_an': 0}
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id: 193945007
{'hecke_orbit_code': 31525678461486256, 'n': 8, 'trace_an': 0}
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id: 193945008
{'hecke_orbit_code': 31525678461486256, 'n': 9, 'trace_an': 3}
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id: 193945009
{'hecke_orbit_code': 31525678461486256, 'n': 10, 'trace_an': 0}
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id: 193945010
{'hecke_orbit_code': 31525678461486256, 'n': 11, 'trace_an': -6}
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id: 193945011
{'hecke_orbit_code': 31525678461486256, 'n': 12, 'trace_an': 0}
-
id: 193945012
{'hecke_orbit_code': 31525678461486256, 'n': 13, 'trace_an': -4}
-
id: 193945013
{'hecke_orbit_code': 31525678461486256, 'n': 14, 'trace_an': 0}
-
id: 193945014
{'hecke_orbit_code': 31525678461486256, 'n': 15, 'trace_an': 0}
-
id: 193945015
{'hecke_orbit_code': 31525678461486256, 'n': 16, 'trace_an': 0}
-
id: 193945016
{'hecke_orbit_code': 31525678461486256, 'n': 17, 'trace_an': 0}
-
id: 193945017
{'hecke_orbit_code': 31525678461486256, 'n': 18, 'trace_an': 0}
-
id: 193945018
{'hecke_orbit_code': 31525678461486256, 'n': 19, 'trace_an': 0}
-
id: 193945019
{'hecke_orbit_code': 31525678461486256, 'n': 20, 'trace_an': 0}
-
id: 193945020
{'hecke_orbit_code': 31525678461486256, 'n': 21, 'trace_an': 0}
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id: 193945021
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