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{'Nk2': 11648, 'analytic_conductor': 23.252437068596848, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [13, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2912, 1, [2367, 1093, 1249, 2017], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 153499364, 'field_disc_factorization': [[2, 2], [1171, 1], [32771, 1]], 'field_poly': [-19, -25, 19, 18, -7, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [8, 22, 0, -26, -5, 4, 1]], [5, [-32, -56, 82, 51, -21, -3, 1]], [11, [536, 366, -370, -224, -13, 8, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580967264, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2912.2.a.u', 'level': 2912, '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, 7, 13], 'level_radical': 182, 'minimal_twist': '2912.2.a.u', 'nf_label': '6.6.153499364.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}-\\beta _{5}q^{5}-q^{7}+(1-\\beta _{1}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2912.2.a', 'trace_display': [0, -4, 3, -6], 'trace_hash': 400142706887913099, 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mf_newspaces • Show schema
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{'ALdims': [7, 10, 10, 7, 11, 8, 8, 11], 'Nk2': 11648, 'analytic_conductor': 23.252437068596848, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2912, 1, [2367, 1093, 1249, 2017], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 433, 'dim': 72, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33557344, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6], 'label': '2912.2.a', 'level': 2912, '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, 7, 13], 'level_radical': 182, 'mf_dim': 464, 'mf_new_dim': 72, 'num_forms': 22, 'plus_dim': 30, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 896, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 96, 0, 0, 0, 72, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 72, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -96, 0, 0, 0, -112, 0, 0, 0, -64, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, 112, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -176, 0, 0, 0, -64, 0, 0, 0, 184, 0, 0, 0, 96, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, 80, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 96, 0, 0, 0, 208, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -16, 0, 0, 0, -144, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 96, 0, 0, 0, 80, 0, 0, 0, -160, 0, 0, 0, 160, 0, 0, 0, 16, 0, 0, 0, 384, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 64, 0, 0, 0, 160, 0, 0, 0, -368, 0, 0, 0, -64, 0, 0, 0, -240, 0, 0, 0, -32, 0, 0, 0, 56, 0, 0, 0, 208, 0, 0, 0, -144, 0, 0, 0, -128, 0, 0, 0, 144, 0, 0, 0, -160, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 288, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, -128, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, 320, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, -24, 0, 0, 0, 48, 0, 0, 0, 96, 0, 0, 0, 128, 0, 0, 0, -192, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, -176, 0, 0, 0, 32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 16, 0, 0, 0, -416, 0, 0, 0, -16, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -96, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, -480, 0, 0, 0, -96, 0, 0, 0, 16, 0, 0, 0, -176, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, -112, 0, 0, 0, -160, 0, 0, 0, -96, 0, 0, 0, 160, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, -224, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -224, 0, 0, 0, -32, 0, 0, 0, -176, 0, 0, 0, 8, 0, 0, 0, -160, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 32, 0, 0, 0, 240, 0, 0, 0, -480, 0, 0, 0, -272, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 304, 0, 0, 0, -80, 0, 0, 0, 96, 0, 0, 0, -192, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, 192, 0, 0, 0, -160, 0, 0, 0, -352, 0, 0, 0, -112, 0, 0, 0, 160, 0, 0, 0, 240, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 144, 0, 0, 0, -48, 0, 0, 0, 320, 0, 0, 0, -32, 0, 0, 0, -416, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 384, 0, 0, 0, -112, 0, 0, 0, 64, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 424, 0, 0, 0, -288, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, -176, 0, 0, 0, 32, 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: 48315345
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 90071992580967264, 'source_is_minimal': True, 'source_label': '2912.2.a.u.1.3', 'source_level': 2912, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 90071992580967264, 'target_is_minimal': True, 'target_label': '2912.2.a.u.1.3', 'target_level': 2912, 'twist_class_label': '2912.2.a.u.1.3', 'twist_class_level': 2912, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48315346
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 90071992580967264, 'source_is_minimal': True, 'source_label': '2912.2.a.u.1.3', 'source_level': 2912, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575592208337760, 'target_is_minimal': True, 'target_label': '2912.2.a.v.1.4', 'target_level': 2912, 'twist_class_label': '2912.2.a.u.1.3', 'twist_class_level': 2912, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48315347
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 90071992580967264, 'source_is_minimal': True, 'source_label': '2912.2.a.u.1.3', 'source_level': 2912, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 288230376185272000, 'target_is_minimal': False, 'target_label': '5824.2.a.cm.1.3', 'target_level': 5824, 'twist_class_label': '2912.2.a.u.1.3', 'twist_class_level': 2912, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48315348
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 90071992580967264, 'source_is_minimal': True, 'source_label': '2912.2.a.u.1.3', 'source_level': 2912, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 292733975812642496, 'target_is_minimal': False, 'target_label': '5824.2.a.cn.1.4', 'target_level': 5824, 'twist_class_label': '2912.2.a.u.1.3', 'twist_class_level': 2912, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2913750
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 90071992580967264, 'p': 2}
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id: 2913751
{'charpoly_factorization': [[[8, 22, 0, -26, -5, 4, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 3}
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id: 2913752
{'charpoly_factorization': [[[-32, -56, 82, 51, -21, -3, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 5}
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id: 2913753
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 90071992580967264, 'p': 7}
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id: 2913754
{'charpoly_factorization': [[[536, 366, -370, -224, -13, 8, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 11}
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id: 2913755
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 90071992580967264, 'p': 13}
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id: 2913756
{'charpoly_factorization': [[[-21952, 1040, 2900, -118, -100, 2, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 17}
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id: 2913757
{'charpoly_factorization': [[[224, 164, -116, -77, 9, 9, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 19}
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id: 2913758
{'charpoly_factorization': [[[-1204, 2293, -1503, 358, 2, -11, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 23}
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id: 2913759
{'charpoly_factorization': [[[8800, -10160, 1874, 555, -95, -7, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 29}
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id: 2913760
{'charpoly_factorization': [[[-72104, 203, 6217, -64, -150, 1, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 31}
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id: 2913761
{'charpoly_factorization': [[[-6404, -9706, 238, 810, -15, -16, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 37}
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id: 2913762
{'charpoly_factorization': [[[3344, -13168, 4256, 228, -137, 0, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 41}
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id: 2913763
{'charpoly_factorization': [[[-54592, -3568, 5396, 147, -157, 1, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 43}
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id: 2913764
{'charpoly_factorization': [[[-304, 921, -877, 254, 8, -11, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 47}
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id: 2913765
{'charpoly_factorization': [[[-103712, 88920, -25458, 2571, 49, -23, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 53}
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id: 2913766
{'charpoly_factorization': [[[110848, 51216, 528, -1828, -148, 10, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 59}
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id: 2913767
{'charpoly_factorization': [[[112, 464, 528, 92, -51, -10, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 61}
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id: 2913768
{'charpoly_factorization': [[[-148832, -27672, 8284, 1054, -171, -8, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 67}
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id: 2913769
{'charpoly_factorization': [[[4096, -12544, 1904, 1014, -66, -14, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 71}
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id: 2913770
{'charpoly_factorization': [[[-27542, -13033, 1657, 852, -76, -11, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 73}
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id: 2913771
{'charpoly_factorization': [[[20108, -52247, 9369, 874, -198, -3, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 79}
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id: 2913772
{'charpoly_factorization': [[[1408, -144, -13140, -3311, -133, 17, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 83}
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id: 2913773
{'charpoly_factorization': [[[-30968, -20068, 13314, -391, -219, 5, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 89}
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id: 2913774
{'charpoly_factorization': [[[-662438, -337749, -9847, 7152, -140, -27, 1], 1]], 'hecke_orbit_code': 90071992580967264, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '2912.2.a.u', 'level': 2912, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64256941
{'hecke_orbit_code': 90071992580967264, 'n': 1, 'trace_an': 6}
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id: 64256942
{'hecke_orbit_code': 90071992580967264, 'n': 2, 'trace_an': 0}
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id: 64256943
{'hecke_orbit_code': 90071992580967264, 'n': 3, 'trace_an': -4}
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id: 64256944
{'hecke_orbit_code': 90071992580967264, 'n': 4, 'trace_an': 0}
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id: 64256945
{'hecke_orbit_code': 90071992580967264, 'n': 5, 'trace_an': 3}
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id: 64256946
{'hecke_orbit_code': 90071992580967264, 'n': 6, 'trace_an': 0}
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id: 64256947
{'hecke_orbit_code': 90071992580967264, 'n': 7, 'trace_an': -6}
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id: 64256948
{'hecke_orbit_code': 90071992580967264, 'n': 8, 'trace_an': 0}
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id: 64256949
{'hecke_orbit_code': 90071992580967264, 'n': 9, 'trace_an': 8}
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id: 64256950
{'hecke_orbit_code': 90071992580967264, 'n': 10, 'trace_an': 0}
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id: 64256951
{'hecke_orbit_code': 90071992580967264, 'n': 11, 'trace_an': -8}
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id: 64256952
{'hecke_orbit_code': 90071992580967264, 'n': 12, 'trace_an': 0}
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id: 64256953
{'hecke_orbit_code': 90071992580967264, 'n': 13, 'trace_an': -6}
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id: 64256954
{'hecke_orbit_code': 90071992580967264, 'n': 14, 'trace_an': 0}
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id: 64256955
{'hecke_orbit_code': 90071992580967264, 'n': 15, 'trace_an': 2}
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id: 64256956
{'hecke_orbit_code': 90071992580967264, 'n': 16, 'trace_an': 0}
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id: 64256957
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