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mf_newforms • Show schema
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{'Nk2': 9072, 'analytic_conductor': 18.11007117842639, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [2268, 3, [1135, 1541, 325], [3, 1, 3]], 'cm_discs': [], 'conrey_index': 757, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [144, 0, 12, 0, 1]], [11, [9, 0, 3, 0, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554612919404764, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 9, 4, -1, 6, 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mf_hecke_cc • Show schema
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'hecke_orbit_code': 67554612919404764, 'label': '2268.2.j.p.757.1', 'level': 2268, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 9072, 'analytic_conductor': 18.11007117842639, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [2268, 3, [1135, 1541, 325], [3, 1, 3]], 'conrey_index': 757, 'cusp_dim': 792, 'dim': 48, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 618508847324, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 8], 'label': '2268.2.j', 'level': 2268, '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, 7], 'level_radical': 42, 'mf_dim': 936, 'mf_new_dim': 48, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 864, 'trace_bound': 13, '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, -24, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 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, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -240, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -96, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47979918
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554612919404764, 'source_is_minimal': False, 'source_label': '2268.2.j.p.757.1', 'source_level': 2268, 'target_conrey_index': 757, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554612919404764, 'target_is_minimal': False, 'target_label': '2268.2.j.p.757.1', 'target_level': 2268, 'twist_class_label': '2268.2.a.e.1.1', 'twist_class_level': 2268, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47979919
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554612919404764, 'source_is_minimal': False, 'source_label': '2268.2.j.p.757.1', 'source_level': 2268, 'target_conrey_index': 757, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554612919404764, 'target_is_minimal': False, 'target_label': '2268.2.j.p.757.2', 'target_level': 2268, 'twist_class_label': '2268.2.a.e.1.1', 'twist_class_level': 2268, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47979920
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554612919404764, 'source_is_minimal': False, 'source_label': '2268.2.j.p.757.1', 'source_level': 2268, 'target_conrey_index': 1513, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554612919404764, 'target_is_minimal': False, 'target_label': '2268.2.j.p.1513.2', 'target_level': 2268, 'twist_class_label': '2268.2.a.e.1.1', 'twist_class_level': 2268, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47979921
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554612919404764, 'source_is_minimal': False, 'source_label': '2268.2.j.p.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543038684, 'target_is_minimal': True, 'target_label': '2268.2.a.e.1.2', 'target_level': 2268, 'twist_class_label': '2268.2.a.e.1.1', 'twist_class_level': 2268, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47979922
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554612919404764, 'source_is_minimal': False, 'source_label': '2268.2.j.p.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038684, 'target_is_minimal': True, 'target_label': '2268.2.a.e.1.1', 'target_level': 2268, 'twist_class_label': '2268.2.a.e.1.1', 'twist_class_level': 2268, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47979923
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554612919404764, 'source_is_minimal': False, 'source_label': '2268.2.j.p.757.1', 'source_level': 2268, 'target_conrey_index': 1513, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554612919404764, 'target_is_minimal': False, 'target_label': '2268.2.j.p.1513.1', 'target_level': 2268, 'twist_class_label': '2268.2.a.e.1.1', 'twist_class_level': 2268, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47979924
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 757, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554612919404764, 'source_is_minimal': False, 'source_label': '2268.2.j.p.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109419376, 'target_is_minimal': False, 'target_label': '9072.2.a.bg.1.1', 'target_level': 9072, 'twist_class_label': '2268.2.a.e.1.1', 'twist_class_level': 2268, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47979925
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 757, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554612919404764, 'source_is_minimal': False, 'source_label': '2268.2.j.p.757.1', 'source_level': 2268, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188109419376, 'target_is_minimal': False, 'target_label': '9072.2.a.bg.1.2', 'target_level': 9072, 'twist_class_label': '2268.2.a.e.1.1', 'twist_class_level': 2268, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2535900
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67554612919404764, 'p': 2}
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id: 2535901
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67554612919404764, 'p': 3}
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id: 2535902
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 67554612919404764, 'p': 5}
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id: 2535903
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 7}
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id: 2535904
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 67554612919404764, 'p': 11}
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id: 2535905
{'charpoly_factorization': [[[16, -4, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 13}
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id: 2535906
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 17}
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id: 2535907
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 67554612919404764, 'p': 19}
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id: 2535908
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 67554612919404764, 'p': 23}
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id: 2535909
{'charpoly_factorization': [[[2304, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 67554612919404764, 'p': 29}
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id: 2535910
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 31}
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id: 2535911
{'charpoly_factorization': [[[-11, 1], 4]], 'hecke_orbit_code': 67554612919404764, 'p': 37}
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id: 2535912
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 67554612919404764, 'p': 41}
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id: 2535913
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 43}
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id: 2535914
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 67554612919404764, 'p': 47}
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id: 2535915
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 53}
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id: 2535916
{'charpoly_factorization': [[[11664, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 67554612919404764, 'p': 59}
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id: 2535917
{'charpoly_factorization': [[[64, 8, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 61}
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id: 2535918
{'charpoly_factorization': [[[121, 11, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 67}
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id: 2535919
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 71}
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id: 2535920
{'charpoly_factorization': [[[16, 1], 4]], 'hecke_orbit_code': 67554612919404764, 'p': 73}
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id: 2535921
{'charpoly_factorization': [[[169, -13, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 79}
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id: 2535922
{'charpoly_factorization': [[[90000, 0, 300, 0, 1], 1]], 'hecke_orbit_code': 67554612919404764, 'p': 83}
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id: 2535923
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 89}
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id: 2535924
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 67554612919404764, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 16, 'label': '2268.2.j.p', 'level': 2268, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61246081
{'hecke_orbit_code': 67554612919404764, 'n': 1, 'trace_an': 4}
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id: 61246082
{'hecke_orbit_code': 67554612919404764, 'n': 2, 'trace_an': 0}
-
id: 61246083
{'hecke_orbit_code': 67554612919404764, 'n': 3, 'trace_an': 0}
-
id: 61246084
{'hecke_orbit_code': 67554612919404764, 'n': 4, 'trace_an': 0}
-
id: 61246085
{'hecke_orbit_code': 67554612919404764, 'n': 5, 'trace_an': 0}
-
id: 61246086
{'hecke_orbit_code': 67554612919404764, 'n': 6, 'trace_an': 0}
-
id: 61246087
{'hecke_orbit_code': 67554612919404764, 'n': 7, 'trace_an': -2}
-
id: 61246088
{'hecke_orbit_code': 67554612919404764, 'n': 8, 'trace_an': 0}
-
id: 61246089
{'hecke_orbit_code': 67554612919404764, 'n': 9, 'trace_an': 0}
-
id: 61246090
{'hecke_orbit_code': 67554612919404764, 'n': 10, 'trace_an': 0}
-
id: 61246091
{'hecke_orbit_code': 67554612919404764, 'n': 11, 'trace_an': 0}
-
id: 61246092
{'hecke_orbit_code': 67554612919404764, 'n': 12, 'trace_an': 0}
-
id: 61246093
{'hecke_orbit_code': 67554612919404764, 'n': 13, 'trace_an': 8}
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id: 61246094
{'hecke_orbit_code': 67554612919404764, 'n': 14, 'trace_an': 0}
-
id: 61246095
{'hecke_orbit_code': 67554612919404764, 'n': 15, 'trace_an': 0}
-
id: 61246096
{'hecke_orbit_code': 67554612919404764, 'n': 16, 'trace_an': 0}
-
id: 61246097
{'hecke_orbit_code': 67554612919404764, 'n': 17, 'trace_an': 0}
-
id: 61246098
{'hecke_orbit_code': 67554612919404764, 'n': 18, 'trace_an': 0}
-
id: 61246099
{'hecke_orbit_code': 67554612919404764, 'n': 19, 'trace_an': 8}
-
id: 61246100
{'hecke_orbit_code': 67554612919404764, 'n': 20, 'trace_an': 0}
-
id: 61246101
{'hecke_orbit_code': 67554612919404764, 'n': 21, 'trace_an': 0}
-
id: 61246102
{'hecke_orbit_code': 67554612919404764, 'n': 22, 'trace_an': 0}
-
id: 61246103
{'hecke_orbit_code': 67554612919404764, 'n': 23, 'trace_an': 0}
-
id: 61246104
{'hecke_orbit_code': 67554612919404764, 'n': 24, 'trace_an': 0}
-
id: 61246105
{'hecke_orbit_code': 67554612919404764, 'n': 25, 'trace_an': -14}
-
id: 61246106
{'hecke_orbit_code': 67554612919404764, 'n': 26, 'trace_an': 0}
-
id: 61246107
{'hecke_orbit_code': 67554612919404764, 'n': 27, 'trace_an': 0}
-
id: 61246108
{'hecke_orbit_code': 67554612919404764, 'n': 28, 'trace_an': 0}
-
id: 61246109
{'hecke_orbit_code': 67554612919404764, 'n': 29, 'trace_an': 0}
-
id: 61246110
{'hecke_orbit_code': 67554612919404764, 'n': 30, 'trace_an': 0}
-
id: 61246111
{'hecke_orbit_code': 67554612919404764, 'n': 31, 'trace_an': -4}
-
id: 61246112
{'hecke_orbit_code': 67554612919404764, 'n': 32, 'trace_an': 0}
-
id: 61246113
{'hecke_orbit_code': 67554612919404764, 'n': 33, 'trace_an': 0}
-
id: 61246114
{'hecke_orbit_code': 67554612919404764, 'n': 34, 'trace_an': 0}
-
id: 61246115
{'hecke_orbit_code': 67554612919404764, 'n': 35, 'trace_an': 0}
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