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mf_newforms • Show schema
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{'Nk2': 2520, 'analytic_conductor': 1.2576438318351661, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 840, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 121, 'char_orbit_label': 'eq', 'char_order': 6, 'char_parity': -1, 'char_values': [2520, 6, [631, 1261, 281, 2017, 1081], [3, 3, 3, 3, 1]], 'cm_discs': [-40], 'conrey_index': 899, 'conrey_indexes': [899, 1979], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[23, [3, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 8246353988056, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 40, 5, -1, 2, -40], [1, 1, 15, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
Hide schema
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id: 33725629
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 1979, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 8246353988056, 'target_is_minimal': True, 'target_label': '2520.1.eq.a.1979.2', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 33725630
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 1979, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4511845981358552, 'target_is_minimal': True, 'target_label': '2520.1.eq.b.1979.4', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 33725631
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 1979, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4511845981358552, 'target_is_minimal': True, 'target_label': '2520.1.eq.b.1979.3', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 33725632
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4511845981358552, 'target_is_minimal': True, 'target_label': '2520.1.eq.b.899.4', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 33725633
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 1979, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4511845981358552, 'target_is_minimal': True, 'target_label': '2520.1.eq.b.1979.3', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 33725634
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 1979, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 8246353988056, 'target_is_minimal': True, 'target_label': '2520.1.eq.a.1979.1', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 1}
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id: 33725635
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 8246353988056, 'target_is_minimal': True, 'target_label': '2520.1.eq.a.899.2', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 1}
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id: 33725636
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 1979, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 8246353988056, 'target_is_minimal': True, 'target_label': '2520.1.eq.a.1979.1', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 1}
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id: 33725637
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 8246353988056, 'target_is_minimal': True, 'target_label': '2520.1.eq.a.899.1', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 1}
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id: 33725638
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 1979, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 8246353988056, 'target_is_minimal': True, 'target_label': '2520.1.eq.a.1979.2', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 1}
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id: 33725639
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 8246353988056, 'target_is_minimal': True, 'target_label': '2520.1.eq.a.899.1', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '56.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 33725640
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4511845981358552, 'target_is_minimal': True, 'target_label': '2520.1.eq.b.899.3', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '105.59', 'twisting_conrey_index': 59, 'weight': 1}
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id: 33725641
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 1979, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4511845981358552, 'target_is_minimal': True, 'target_label': '2520.1.eq.b.1979.4', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 1}
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id: 33725642
{'conductor': 168, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4511845981358552, 'target_is_minimal': True, 'target_label': '2520.1.eq.b.899.3', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '168.59', 'twisting_conrey_index': 59, 'weight': 1}
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id: 33725643
{'conductor': 280, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4511845981358552, 'target_is_minimal': True, 'target_label': '2520.1.eq.b.899.4', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '280.59', 'twisting_conrey_index': 59, 'weight': 1}
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id: 33725644
{'conductor': 840, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1979, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 8246353988056, 'source_is_minimal': True, 'source_label': '2520.1.eq.a.1979.2', 'source_level': 2520, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 8246353988056, 'target_is_minimal': True, 'target_label': '2520.1.eq.a.899.2', 'target_level': 2520, 'twist_class_label': '2520.1.eq.a.899.1', 'twist_class_level': 2520, 'twisting_char_label': '840.59', 'twisting_conrey_index': 59, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2705500
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 8246353988056, 'p': 2}
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id: 2705501
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 3}
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id: 2705502
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 8246353988056, 'p': 5}
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id: 2705503
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 8246353988056, 'p': 7}
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id: 2705504
{'charpoly_factorization': [[[1, 0, -4, 0, 15, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 8246353988056, 'p': 11}
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id: 2705505
{'charpoly_factorization': [[[1, 0, 4, 0, 1], 2]], 'hecke_orbit_code': 8246353988056, 'p': 13}
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id: 2705506
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 17}
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id: 2705507
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 8246353988056, 'p': 19}
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id: 2705508
{'charpoly_factorization': [[[3, 3, 1], 4]], 'hecke_orbit_code': 8246353988056, 'p': 23}
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id: 2705509
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 29}
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id: 2705510
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 31}
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id: 2705511
{'charpoly_factorization': [[[1, 0, 4, 0, 15, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 8246353988056, 'p': 37}
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id: 2705512
{'charpoly_factorization': [[[1, 0, -4, 0, 1], 2]], 'hecke_orbit_code': 8246353988056, 'p': 41}
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id: 2705513
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 43}
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id: 2705514
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 2]], 'hecke_orbit_code': 8246353988056, 'p': 47}
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id: 2705515
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 8246353988056, 'p': 53}
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id: 2705516
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 8246353988056, 'p': 59}
-
id: 2705517
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 61}
-
id: 2705518
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 67}
-
id: 2705519
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 71}
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id: 2705520
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 73}
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id: 2705521
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 79}
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id: 2705522
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 83}
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id: 2705523
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 8246353988056, 'p': 89}
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id: 2705524
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 8246353988056, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 121, 'hecke_orbit': 1, 'label': '2520.1.eq.a', 'level': 2520, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 61631000
{'hecke_orbit_code': 8246353988056, 'n': 1, 'trace_an': 8}
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id: 61631001
{'hecke_orbit_code': 8246353988056, 'n': 2, 'trace_an': 0}
-
id: 61631002
{'hecke_orbit_code': 8246353988056, 'n': 3, 'trace_an': 0}
-
id: 61631003
{'hecke_orbit_code': 8246353988056, 'n': 4, 'trace_an': 4}
-
id: 61631004
{'hecke_orbit_code': 8246353988056, 'n': 5, 'trace_an': -4}
-
id: 61631005
{'hecke_orbit_code': 8246353988056, 'n': 6, 'trace_an': 0}
-
id: 61631006
{'hecke_orbit_code': 8246353988056, 'n': 7, 'trace_an': 0}
-
id: 61631007
{'hecke_orbit_code': 8246353988056, 'n': 8, 'trace_an': 0}
-
id: 61631008
{'hecke_orbit_code': 8246353988056, 'n': 9, 'trace_an': 0}
-
id: 61631009
{'hecke_orbit_code': 8246353988056, 'n': 10, 'trace_an': 0}
-
id: 61631010
{'hecke_orbit_code': 8246353988056, 'n': 11, 'trace_an': 0}
-
id: 61631011
{'hecke_orbit_code': 8246353988056, 'n': 12, 'trace_an': 0}
-
id: 61631012
{'hecke_orbit_code': 8246353988056, 'n': 13, 'trace_an': 0}
-
id: 61631013
{'hecke_orbit_code': 8246353988056, 'n': 14, 'trace_an': 0}
-
id: 61631014
{'hecke_orbit_code': 8246353988056, 'n': 15, 'trace_an': 0}
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id: 61631015
{'hecke_orbit_code': 8246353988056, 'n': 16, 'trace_an': -4}
-
id: 61631016
{'hecke_orbit_code': 8246353988056, 'n': 17, 'trace_an': 0}
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id: 61631017
{'hecke_orbit_code': 8246353988056, 'n': 18, 'trace_an': 0}
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id: 61631018
{'hecke_orbit_code': 8246353988056, 'n': 19, 'trace_an': 0}
-
id: 61631019
{'hecke_orbit_code': 8246353988056, 'n': 20, 'trace_an': -8}
-
id: 61631020
{'hecke_orbit_code': 8246353988056, 'n': 21, 'trace_an': 0}
-
id: 61631021
{'hecke_orbit_code': 8246353988056, 'n': 22, 'trace_an': 0}
-
id: 61631022
{'hecke_orbit_code': 8246353988056, 'n': 23, 'trace_an': -12}
-
id: 61631023
{'hecke_orbit_code': 8246353988056, 'n': 24, 'trace_an': 0}
-
id: 61631024
{'hecke_orbit_code': 8246353988056, 'n': 25, 'trace_an': -4}
-
id: 61631025
{'hecke_orbit_code': 8246353988056, 'n': 26, 'trace_an': 0}
-
id: 61631026
{'hecke_orbit_code': 8246353988056, 'n': 27, 'trace_an': 0}
-
id: 61631027
{'hecke_orbit_code': 8246353988056, 'n': 28, 'trace_an': 0}
-
id: 61631028
{'hecke_orbit_code': 8246353988056, 'n': 29, 'trace_an': 0}
-
id: 61631029
{'hecke_orbit_code': 8246353988056, 'n': 30, 'trace_an': 0}
-
id: 61631030
{'hecke_orbit_code': 8246353988056, 'n': 31, 'trace_an': 0}
-
id: 61631031
{'hecke_orbit_code': 8246353988056, 'n': 32, 'trace_an': 0}
-
id: 61631032
{'hecke_orbit_code': 8246353988056, 'n': 33, 'trace_an': 0}
-
id: 61631033
{'hecke_orbit_code': 8246353988056, 'n': 34, 'trace_an': 0}
-
id: 61631034
{'hecke_orbit_code': 8246353988056, 'n': 35, 'trace_an': 0}
-
id: 61631035
{'hecke_orbit_code': 8246353988056, 'n': 36, 'trace_an': 0}
-
id: 61631036
{'hecke_orbit_code': 8246353988056, 'n': 37, 'trace_an': 0}
-
id: 61631037
{'hecke_orbit_code': 8246353988056, 'n': 38, 'trace_an': 4}
-
id: 61631038
{'hecke_orbit_code': 8246353988056, 'n': 39, 'trace_an': 0}
-
id: 61631039
{'hecke_orbit_code': 8246353988056, 'n': 40, 'trace_an': 0}
-
id: 61631040
{'hecke_orbit_code': 8246353988056, 'n': 41, 'trace_an': 0}
-
id: 61631041
{'hecke_orbit_code': 8246353988056, 'n': 42, 'trace_an': 0}
-
id: 61631042
{'hecke_orbit_code': 8246353988056, 'n': 43, 'trace_an': 0}
-
id: 61631043
{'hecke_orbit_code': 8246353988056, 'n': 44, 'trace_an': 0}
-
id: 61631044
{'hecke_orbit_code': 8246353988056, 'n': 45, 'trace_an': 0}
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id: 61631045
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