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mf_newforms • Show schema
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{'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 76, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 61, 'char_orbit_label': 'ci', 'char_order': 18, 'char_parity': 1, 'char_values': [912, 18, [799, 229, 305, 97], [9, 18, 18, 13]], 'cm_discs': [], 'conrey_index': 79, 'conrey_indexes': [79, 127, 223, 319, 751, 895], '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': [[5, [9, 27, 36, 30, 18, 6, 1]], [7, [3, -18, 45, -54, 33, -9, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4507722829530000, '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'char_conductor': 76, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 61, 'char_orbit_label': 'ci', 'char_order': 18, 'char_parity': 1, 'char_values': [912, 18, [799, 229, 305, 97], [9, 18, 18, 13]], 'conrey_index': 79, 'cusp_dim': 888, 'dim': 120, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 4123202159504, 'hecke_orbit_dims': [6, 6, 12, 12, 18, 18, 24, 24], 'label': '912.2.ci', 'level': 912, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 1032, 'mf_new_dim': 120, 'num_forms': 8, 'prim_orbit_index': 11, 'relative_dim': 20, 'sturm_bound': 320, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 72, 0, 0, 0, 24, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 60, 0, 0, 0, 72, 0, 0, 0, -12, 0, 0, 0, -144, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 12, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -12, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 72, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -144, 0, 0, 0, -240, 0, 0, 0, -144, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 72, 0, 0, 0, 72, 0, 0, 0, 144, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 432, 0, 0, 0, -168, 0, 0, 0, 720, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, -72, 0, 0, 0, -60, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -300, 0, 0, 0, -72, 0, 0, 0, 72, 0, 0, 0, -132, 0, 0, 0, -72, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 144, 0, 0, 0, -72, 0, 0, 0, 288, 0, 0, 0, 24, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 72, 0, 0, 0, 288, 0, 0, 0, 216, 0, 0, 0, 420, 0, 0, 0, 144, 0, 0, 0, 132, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 504, 0, 0, 0, 144, 0, 0, 0, -216, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 156, 0, 0, 0, -504, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 72, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -144, 0, 0, 0, -288, 0, 0, 0, -216, 0, 0, 0, -300, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -792, 0, 0, 0, -60, 0, 0, 0, -60, 0, 0, 0, -432, 0, 0, 0, -72, 0, 0, 0, -648, 0, 0, 0, -1080, 0, 0, 0, -648, 0, 0, 0, -132, 0, 0, 0, -288, 0, 0, 0, -144, 0, 0, 0, -588, 0, 0, 0, -504, 0, 0, 0, -372, 0, 0, 0, -72, 0, 0, 0, -72, 0, 0, 0, -288, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 144, 0, 0, 0, -216, 0, 0, 0, -144, 0, 0, 0, 204, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, -360, 0, 0, 0, -144, 0, 0, 0, 432, 0, 0, 0, 792, 0, 0, 0, 0, 0, 0, 0, 408, 0, 0, 0, 360, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 1080, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, -288, 0, 0, 0, 144, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -216, 0, 0, 0, -276, 0, 0, 0, 288, 0, 0, 0, 144, 0, 0, 0, 120, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1008, 0, 0, 0, -72, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -528, 0, 0, 0, 864, 0, 0, 0, 36, 0, 0, 0, 432, 0, 0, 0, 144, 0, 0, 0, 444, 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: 39743398
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 223, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4507722829530000, 'source_is_minimal': True, 'source_label': '912.2.ci.b.223.1', 'source_level': 912, 'target_conrey_index': 223, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4507722829530000, 'target_is_minimal': True, 'target_label': '912.2.ci.b.223.1', 'target_level': 912, 'twist_class_label': '912.2.ci.a.223.1', 'twist_class_level': 912, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 39743399
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 223, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4507722829530000, 'source_is_minimal': True, 'source_label': '912.2.ci.b.223.1', 'source_level': 912, 'target_conrey_index': 223, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4123202159504, 'target_is_minimal': True, 'target_label': '912.2.ci.a.223.1', 'target_level': 912, 'twist_class_label': '912.2.ci.a.223.1', 'twist_class_level': 912, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 39743400
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 223, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4507722829530000, 'source_is_minimal': True, 'source_label': '912.2.ci.b.223.1', 'source_level': 912, 'target_conrey_index': 319, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4123202159504, 'target_is_minimal': True, 'target_label': '912.2.ci.a.319.1', 'target_level': 912, 'twist_class_label': '912.2.ci.a.223.1', 'twist_class_level': 912, 'twisting_char_label': '19.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 39743401
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 223, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4507722829530000, 'source_is_minimal': True, 'source_label': '912.2.ci.b.223.1', 'source_level': 912, 'target_conrey_index': 319, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4507722829530000, 'target_is_minimal': True, 'target_label': '912.2.ci.b.319.1', 'target_level': 912, 'twist_class_label': '912.2.ci.a.223.1', 'twist_class_level': 912, 'twisting_char_label': '76.15', 'twisting_conrey_index': 15, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1485625
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4507722829530000, 'p': 2}
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id: 1485626
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 3}
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id: 1485627
{'charpoly_factorization': [[[9, 27, 36, 30, 18, 6, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 5}
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id: 1485628
{'charpoly_factorization': [[[3, -18, 45, -54, 33, -9, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 7}
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id: 1485629
{'charpoly_factorization': [[[243, 0, -81, 0, 27, -9, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 11}
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id: 1485630
{'charpoly_factorization': [[[3, -18, 36, -33, 24, 6, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 13}
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id: 1485631
{'charpoly_factorization': [[[9, -81, 306, 132, 54, 12, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 17}
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id: 1485632
{'charpoly_factorization': [[[6859, -6498, 2736, -737, 144, -18, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 19}
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id: 1485633
{'charpoly_factorization': [[[1083, -855, 99, -6, 24, -3, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 23}
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id: 1485634
{'charpoly_factorization': [[[7803, -5508, 5238, -819, -18, 0, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 29}
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id: 1485635
{'charpoly_factorization': [[[72361, -12105, 3639, -268, 81, -6, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 31}
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id: 1485636
{'charpoly_factorization': [[[70227, 0, 7209, 0, 162, 0, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 37}
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id: 1485637
{'charpoly_factorization': [[[34347, -10593, 6462, 33, -39, 12, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 41}
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id: 1485638
{'charpoly_factorization': [[[9747, 6156, 1242, 153, 18, 0, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 43}
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id: 1485639
{'charpoly_factorization': [[[604803, -246501, 54810, -7674, 699, -39, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 47}
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id: 1485640
{'charpoly_factorization': [[[4107, 3663, 1890, 303, 51, 12, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 53}
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id: 1485641
{'charpoly_factorization': [[[1172889, 185193, -6498, -456, 234, -12, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 59}
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id: 1485642
{'charpoly_factorization': [[[54289, -29358, 9891, -2231, 324, -27, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 61}
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id: 1485643
{'charpoly_factorization': [[[179776, -76320, 24480, -4960, 576, -36, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 67}
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id: 1485644
{'charpoly_factorization': [[[23409, -19278, 6966, -1449, 198, -18, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 71}
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id: 1485645
{'charpoly_factorization': [[[104329, -5814, 6876, -1376, -18, 9, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 73}
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id: 1485646
{'charpoly_factorization': [[[26569, -8802, 4986, -701, 18, 18, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 79}
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id: 1485647
{'charpoly_factorization': [[[3, -36, 153, -108, 15, 9, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 83}
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id: 1485648
{'charpoly_factorization': [[[98283, 4887, 333, 642, 6, -3, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 89}
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id: 1485649
{'charpoly_factorization': [[[867, -918, 990, -318, 6, 3, 1], 1]], 'hecke_orbit_code': 4507722829530000, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 61, 'hecke_orbit': 2, 'label': '912.2.ci.b', 'level': 912, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 99721000
{'hecke_orbit_code': 4507722829530000, 'n': 1, 'trace_an': 6}
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id: 99721001
{'hecke_orbit_code': 4507722829530000, 'n': 2, 'trace_an': 0}
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id: 99721002
{'hecke_orbit_code': 4507722829530000, 'n': 3, 'trace_an': 0}
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id: 99721003
{'hecke_orbit_code': 4507722829530000, 'n': 4, 'trace_an': 0}
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id: 99721004
{'hecke_orbit_code': 4507722829530000, 'n': 5, 'trace_an': -6}
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id: 99721005
{'hecke_orbit_code': 4507722829530000, 'n': 6, 'trace_an': 0}
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id: 99721006
{'hecke_orbit_code': 4507722829530000, 'n': 7, 'trace_an': 9}
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id: 99721007
{'hecke_orbit_code': 4507722829530000, 'n': 8, 'trace_an': 0}
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id: 99721008
{'hecke_orbit_code': 4507722829530000, 'n': 9, 'trace_an': 0}
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id: 99721009
{'hecke_orbit_code': 4507722829530000, 'n': 10, 'trace_an': 0}
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id: 99721010
{'hecke_orbit_code': 4507722829530000, 'n': 11, 'trace_an': 9}
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id: 99721011
{'hecke_orbit_code': 4507722829530000, 'n': 12, 'trace_an': 0}
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id: 99721012
{'hecke_orbit_code': 4507722829530000, 'n': 13, 'trace_an': -6}
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id: 99721013
{'hecke_orbit_code': 4507722829530000, 'n': 14, 'trace_an': 0}
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id: 99721014
{'hecke_orbit_code': 4507722829530000, 'n': 15, 'trace_an': 6}
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id: 99721015
{'hecke_orbit_code': 4507722829530000, 'n': 16, 'trace_an': 0}
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id: 99721016
{'hecke_orbit_code': 4507722829530000, 'n': 17, 'trace_an': -12}
-
id: 99721017
{'hecke_orbit_code': 4507722829530000, 'n': 18, 'trace_an': 0}
-
id: 99721018
{'hecke_orbit_code': 4507722829530000, 'n': 19, 'trace_an': 18}
-
id: 99721019
{'hecke_orbit_code': 4507722829530000, 'n': 20, 'trace_an': 0}
-
id: 99721020
{'hecke_orbit_code': 4507722829530000, 'n': 21, 'trace_an': 3}
-
id: 99721021
{'hecke_orbit_code': 4507722829530000, 'n': 22, 'trace_an': 0}
-
id: 99721022
{'hecke_orbit_code': 4507722829530000, 'n': 23, 'trace_an': 3}
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id: 99721023
{'hecke_orbit_code': 4507722829530000, 'n': 24, 'trace_an': 0}
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id: 99721024
{'hecke_orbit_code': 4507722829530000, 'n': 25, 'trace_an': 0}
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id: 99721025
{'hecke_orbit_code': 4507722829530000, 'n': 26, 'trace_an': 0}
-
id: 99721026
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