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mf_newforms • Show schema
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{'Nk2': 6656, 'analytic_conductor': 13.287106896341056, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1664, 2, [1535, 261, 769], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 833, 'dim': 8, 'field_disc': 11574317056, 'field_disc_factorization': [[2, 12], [41, 4]], 'field_poly': [4, 0, 0, 0, 45, 0, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [32, 0, 13, 0, 1]], [5, [100, 0, 21, 0, 1]], [7, [2, 0, -7, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532465399367296, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6656, 'analytic_conductor': 13.287106896341056, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1664, 2, [1535, 261, 769], [2, 1, 2]], 'conrey_index': 833, 'cusp_dim': 208, 'dim': 48, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 68753032832, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 4, 8, 12], 'label': '1664.2.b', 'level': 1664, '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, 13], 'level_radical': 26, 'mf_dim': 240, 'mf_new_dim': 48, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 448, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46905472
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 833, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532465399367296, 'source_is_minimal': True, 'source_label': '1664.2.b.j.833.4', 'source_level': 1664, 'target_conrey_index': 833, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532465399367296, 'target_is_minimal': True, 'target_label': '1664.2.b.j.833.4', 'target_level': 1664, 'twist_class_label': '1664.2.b.j.833.3', 'twist_class_level': 1664, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46905473
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 833, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532465399367296, 'source_is_minimal': True, 'source_label': '1664.2.b.j.833.4', 'source_level': 1664, 'target_conrey_index': 833, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40532465399367296, 'target_is_minimal': True, 'target_label': '1664.2.b.j.833.6', 'target_level': 1664, 'twist_class_label': '1664.2.b.j.833.3', 'twist_class_level': 1664, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46905474
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 833, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532465399367296, 'source_is_minimal': True, 'source_label': '1664.2.b.j.833.4', 'source_level': 1664, 'target_conrey_index': 833, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532465399367296, 'target_is_minimal': True, 'target_label': '1664.2.b.j.833.3', 'target_level': 1664, 'twist_class_label': '1664.2.b.j.833.3', 'twist_class_level': 1664, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46905475
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 833, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532465399367296, 'source_is_minimal': True, 'source_label': '1664.2.b.j.833.4', 'source_level': 1664, 'target_conrey_index': 833, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 40532465399367296, 'target_is_minimal': True, 'target_label': '1664.2.b.j.833.5', 'target_level': 1664, 'twist_class_label': '1664.2.b.j.833.3', 'twist_class_level': 1664, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46905476
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 833, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532465399367296, 'source_is_minimal': True, 'source_label': '1664.2.b.j.833.4', 'source_level': 1664, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618895616, 'target_is_minimal': False, 'target_label': '3328.2.a.bk.1.2', 'target_level': 3328, 'twist_class_label': '1664.2.b.j.833.3', 'twist_class_level': 1664, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46905477
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 833, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532465399367296, 'source_is_minimal': True, 'source_label': '1664.2.b.j.833.4', 'source_level': 1664, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 166633186246266112, 'target_is_minimal': False, 'target_label': '3328.2.a.bl.1.2', 'target_level': 3328, 'twist_class_label': '1664.2.b.j.833.3', 'twist_class_level': 1664, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46905478
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 833, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532465399367296, 'source_is_minimal': True, 'source_label': '1664.2.b.j.833.4', 'source_level': 1664, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 166633186246266112, 'target_is_minimal': False, 'target_label': '3328.2.a.bl.1.3', 'target_level': 3328, 'twist_class_label': '1664.2.b.j.833.3', 'twist_class_level': 1664, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46905479
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 833, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532465399367296, 'source_is_minimal': True, 'source_label': '1664.2.b.j.833.4', 'source_level': 1664, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 162129586618895616, 'target_is_minimal': False, 'target_label': '3328.2.a.bk.1.3', 'target_level': 3328, 'twist_class_label': '1664.2.b.j.833.3', 'twist_class_level': 1664, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2112675
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 40532465399367296, 'p': 2}
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id: 2112676
{'charpoly_factorization': [[[32, 0, 13, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 3}
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id: 2112677
{'charpoly_factorization': [[[100, 0, 21, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 5}
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id: 2112678
{'charpoly_factorization': [[[2, 0, -7, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 7}
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id: 2112679
{'charpoly_factorization': [[[8, 0, 14, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 11}
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id: 2112680
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 40532465399367296, 'p': 13}
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id: 2112681
{'charpoly_factorization': [[[-4, -5, 1], 4]], 'hecke_orbit_code': 40532465399367296, 'p': 17}
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id: 2112682
{'charpoly_factorization': [[[128, 0, 26, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 19}
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id: 2112683
{'charpoly_factorization': [[[512, 0, -52, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 23}
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id: 2112684
{'charpoly_factorization': [[[4, 0, 1], 4]], 'hecke_orbit_code': 40532465399367296, 'p': 29}
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id: 2112685
{'charpoly_factorization': [[[800, 0, -58, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 31}
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id: 2112686
{'charpoly_factorization': [[[4, 0, 45, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 37}
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id: 2112687
{'charpoly_factorization': [[[-16, 10, 1], 4]], 'hecke_orbit_code': 40532465399367296, 'p': 41}
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id: 2112688
{'charpoly_factorization': [[[16200, 0, 261, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 43}
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id: 2112689
{'charpoly_factorization': [[[6962, 0, -167, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 47}
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id: 2112690
{'charpoly_factorization': [[[256, 0, 132, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 53}
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id: 2112691
{'charpoly_factorization': [[[800, 0, 106, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 59}
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id: 2112692
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 40532465399367296, 'p': 61}
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id: 2112693
{'charpoly_factorization': [[[27848, 0, 334, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 67}
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id: 2112694
{'charpoly_factorization': [[[50, 0, -47, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 71}
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id: 2112695
{'charpoly_factorization': [[[-40, 2, 1], 4]], 'hecke_orbit_code': 40532465399367296, 'p': 73}
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id: 2112696
{'charpoly_factorization': [[[800, 0, -188, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 79}
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id: 2112697
{'charpoly_factorization': [[[200, 0, 94, 0, 1], 2]], 'hecke_orbit_code': 40532465399367296, 'p': 83}
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id: 2112698
{'charpoly_factorization': [[[-16, 10, 1], 4]], 'hecke_orbit_code': 40532465399367296, 'p': 89}
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id: 2112699
{'charpoly_factorization': [[[-10, 1], 8]], 'hecke_orbit_code': 40532465399367296, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 10, 'label': '1664.2.b.j', 'level': 1664, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 53761243
{'hecke_orbit_code': 40532465399367296, 'n': 1, 'trace_an': 8}
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id: 53761244
{'hecke_orbit_code': 40532465399367296, 'n': 2, 'trace_an': 0}
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id: 53761245
{'hecke_orbit_code': 40532465399367296, 'n': 3, 'trace_an': 0}
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id: 53761246
{'hecke_orbit_code': 40532465399367296, 'n': 4, 'trace_an': 0}
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id: 53761247
{'hecke_orbit_code': 40532465399367296, 'n': 5, 'trace_an': 0}
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id: 53761248
{'hecke_orbit_code': 40532465399367296, 'n': 6, 'trace_an': 0}
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id: 53761249
{'hecke_orbit_code': 40532465399367296, 'n': 7, 'trace_an': 0}
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id: 53761250
{'hecke_orbit_code': 40532465399367296, 'n': 8, 'trace_an': 0}
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id: 53761251
{'hecke_orbit_code': 40532465399367296, 'n': 9, 'trace_an': -28}
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id: 53761252
{'hecke_orbit_code': 40532465399367296, 'n': 10, 'trace_an': 0}
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id: 53761253
{'hecke_orbit_code': 40532465399367296, 'n': 11, 'trace_an': 0}
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id: 53761254
{'hecke_orbit_code': 40532465399367296, 'n': 12, 'trace_an': 0}
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id: 53761255
{'hecke_orbit_code': 40532465399367296, 'n': 13, 'trace_an': 0}
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id: 53761256
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