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{'Nk2': 14896, 'analytic_conductor': 29.736289712724815, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [19, -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': [3724, 1, [1863, 3041, 3137], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 733, 'field_disc_factorization': [[733, 1]], 'field_poly': [8, -7, -1, 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, -7, -1, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052522124, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3724.2.a.i', 'level': 3724, '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, 19], 'level_radical': 266, 'minimal_twist': '532.2.a.e', 'nf_label': '3.3.733.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+(-1+\\beta _{1}+\\beta _{2})q^{5}+(2+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3724.2.a', 'trace_display': [0, 1, -2, 0], 'trace_hash': 111966557196601904, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.067', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.872', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.221', 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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 15, 13, 15, 18], 'Nk2': 14896, 'analytic_conductor': 29.736289712724815, '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': [3724, 1, [1863, 3041, 3137], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 537, 'dim': 61, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33558156, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 5, 5, 7, 7, 8, 8], 'label': '3724.2.a', 'level': 3724, '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, 19], 'level_radical': 266, 'mf_dim': 584, 'mf_new_dim': 61, 'num_forms': 16, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 61, 'sturm_bound': 1120, 'trace_bound': 5, 'trace_display': [0, 2, 1, 0], 'traces': [61, 0, 2, 0, 1, 0, 0, 0, 61, 0, -5, 0, -4, 0, -2, 0, 3, 0, 1, 0, 0, 0, 0, 0, 62, 0, 8, 0, -10, 0, 4, 0, 2, 0, 0, 0, -2, 0, -8, 0, -14, 0, 7, 0, -11, 0, -11, 0, 0, 0, 14, 0, -40, 0, 1, 0, -2, 0, -10, 0, 5, 0, 0, 0, -44, 0, 28, 0, 4, 0, 30, 0, 3, 0, 0, 0, 0, 0, 0, 0, 97, 0, -20, 0, -83, 0, 48, 0, 8, 0, 0, 0, 16, 0, -1, 0, 0, 0, 3, 0, 10, 0, 18, 0, 0, 0, -14, 0, 8, 0, 4, 0, 2, 0, -4, 0, 20, 0, 0, 0, 32, 0, -12, 0, 3, 0, -6, 0, 54, 0, 21, 0, 0, 0, 52, 0, 71, 0, 7, 0, 118, 0, 28, 0, -2, 0, 0, 0, -53, 0, -14, 0, -21, 0, 32, 0, -22, 0, -28, 0, 0, 0, 12, 0, 82, 0, -14, 0, 63, 0, 9, 0, -42, 0, 0, 0, 92, 0, 6, 0, -6, 0, -26, 0, -82, 0, 39, 0, 0, 0, 79, 0, -52, 0, 32, 0, 2, 0, 43, 0, 12, 0, 0, 0, -2, 0, 88, 0, 5, 0, 22, 0, -36, 0, -7, 0, 0, 0, -6, 0, -72, 0, 26, 0, 150, 0, -84, 0, 19, 0, 0, 0, 15, 0, 69, 0, -56, 0, -47, 0, 14, 0, 6, 0, 0, 0, 4, 0, -148, 0, 17, 0, 62, 0, -42, 0, -8, 0, 0, 0, -234, 0, -9, 0, 56, 0, 56, 0, 24, 0, -28, 0, 0, 0, 78, 0, -61, 0, -8, 0, -238, 0, 35, 0, 18, 0, 0, 0, 80, 0, 112, 0, -12, 0, -234, 0, 12, 0, 4, 0, 0, 0, -236, 0, -15, 0, -28, 0, -140, 0, -75, 0, -18, 0, 0, 0, 30, 0, -202, 0, -20, 0, 31, 0, -100, 0, 0, 0, 0, 0, -20, 0, 38, 0, -44, 0, 120, 0, 56, 0, -32, 0, 0, 0, -88, 0, 13, 0, 39, 0, -80, 0, 118, 0, 30, 0, 0, 0, -13, 0, 61, 0, 56, 0, 43, 0, 4, 0, -18, 0, 0, 0, -72, 0, -58, 0, -12, 0, 114, 0, 108, 0, -40, 0, 0, 0, -9, 0, -121, 0, -132, 0, -26, 0, 80, 0, 39, 0, 0, 0, -56, 0, 8, 0, -7, 0, 146, 0, 44, 0, -10, 0, 0, 0, -78, 0, 82, 0, 16, 0, -56, 0, -143, 0, 16, 0, 0, 0, 264, 0, 168, 0, -34, 0, 132, 0, 16, 0, -82, 0, 0, 0, 55, 0, -252, 0, 2, 0, 128, 0, -134, 0, 32, 0, 0, 0, -151, 0, 184, 0, 71, 0, -107, 0, 132, 0, 37, 0, 0, 0, 192, 0, -7, 0, -20, 0, 4, 0, 0, 0, 52, 0, 0, 0, 180, 0, -18, 0, 72, 0, -44, 0, -146, 0, 89, 0, 0, 0, -27, 0, 52, 0, -4, 0, -320, 0, -38, 0, -68, 0, 0, 0, 16, 0, 190, 0, 41, 0, 28, 0, -32, 0, -22, 0, 0, 0, 8, 0, 77, 0, 70, 0, -48, 0, 78, 0, -56, 0, 0, 0, -143, 0, -244, 0, 52, 0, -12, 0, 17, 0, 2, 0, 0, 0, -60, 0, -5, 0, 20, 0, 50, 0, 58, 0, -94, 0, 0, 0, -92, 0, -76, 0, 14, 0, 18, 0, -39, 0, 92, 0, 0, 0, -68, 0, -4, 0, -3, 0, -20, 0, -164, 0, -6, 0, 0, 0, 98, 0, 48, 0, -10, 0, 44, 0, 70, 0, 20, 0, 0, 0, 212, 0, 85, 0, 72, 0, -21, 0, 204, 0, -20, 0, 0, 0, 19, 0, 2, 0, 30, 0, 15, 0, -56, 0, -34, 0, 0, 0, 90, 0, 112, 0, -1, 0, 26, 0, 91, 0, 98, 0, 0, 0, 49, 0, -185, 0, -97, 0, 114, 0, 156, 0, -28, 0, 0, 0, -56, 0, 212, 0, -43, 0, 66, 0, 88, 0, 98, 0, 0, 0, 64, 0, -92, 0, -75, 0, -90, 0, -144, 0, -71, 0, 0, 0, 143, 0, -158, 0, -66, 0, 78, 0, 26, 0, 26, 0, 0, 0, 58, 0, -44, 0, -96, 0, -104, 0, -294, 0, 67, 0, 0, 0, 116, 0, -120, 0, -19, 0, 97, 0, 203, 0, 26, 0, 0, 0, 132, 0, 105, 0, -8, 0, 120, 0, -75, 0, -144, 0, 0, 0, 4, 0, 30, 0, 82, 0, -87, 0, -332, 0, -33, 0, 0, 0, -323, 0, 56, 0, -75, 0, -40, 0, 66, 0, 80, 0, 0, 0, 6, 0, 2, 0, 4, 0, 160, 0, -108, 0, 58, 0, 0, 0, -148, 0, -160, 0, 40, 0, 5, 0, 48, 0, -25, 0, 0, 0, 96, 0, 45, 0, 0, 0, -168, 0, 60, 0, 9, 0, 0, 0, -353, 0, -109, 0, -32, 0, -116, 0, 36, 0, -66, 0, 0, 0, -158, 0, -200, 0, 34, 0, 11, 0, -108, 0, -33, 0, 0, 0, -174, 0, -228, 0, -46, 0, -57, 0, -198, 0, -29, 0, 0, 0, -214, 0, -110, 0, 68, 0, -48, 0, 52, 0, -176, 0, 0, 0, 46, 0, 56, 0, 55, 0, -27, 0, 380, 0, 78, 0, 0, 0, 319, 0, -21, 0, 50, 0, -216, 0, -16, 0, -104, 0, 0, 0, 90, 0, 156, 0, -50, 0, 254, 0, 168, 0, -30, 0, 0, 0, -204, 0, -296, 0, -20, 0, -264, 0, 186, 0, 22, 0, 0, 0, -382, 0, 243, 0, 63, 0, -20, 0, 22, 0, 24, 0, 0, 0, 140, 0, 116, 0, 20, 0, -112, 0, -279, 0, -64, 0, 0, 0, 173, 0, -62, 0, -124, 0, -168, 0, 42, 0, -128, 0, 0, 0, -80, 0, -316, 0, 28, 0, -80, 0, -280, 0, -46, 0, 0, 0, 26, 0, 66, 0, 84, 0, 65, 0, 167, 0, 12, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46475509
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052522124, 'source_is_minimal': False, 'source_label': '3724.2.a.i.1.3', 'source_level': 3724, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052522124, 'target_is_minimal': False, 'target_label': '3724.2.a.i.1.3', 'target_level': 3724, 'twist_class_label': '532.2.a.e.1.1', 'twist_class_level': 532, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46475510
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052522124, 'source_is_minimal': False, 'source_label': '3724.2.a.i.1.3', 'source_level': 3724, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036948, 'target_is_minimal': True, 'target_label': '532.2.a.e.1.1', 'target_level': 532, 'twist_class_label': '532.2.a.e.1.1', 'twist_class_level': 532, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46475511
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052522124, 'source_is_minimal': False, 'source_label': '3724.2.a.i.1.3', 'source_level': 3724, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816746164, 'target_is_minimal': False, 'target_label': '4788.2.a.o.1.3', 'target_level': 4788, 'twist_class_label': '532.2.a.e.1.1', 'twist_class_level': 532, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46475512
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052522124, 'source_is_minimal': False, 'source_label': '3724.2.a.i.1.3', 'source_level': 3724, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 76561193698854992, 'target_is_minimal': False, 'target_label': '2128.2.a.r.1.3', 'target_level': 2128, 'twist_class_label': '532.2.a.e.1.1', 'twist_class_level': 532, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46475513
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052522124, 'source_is_minimal': False, 'source_label': '3724.2.a.i.1.3', 'source_level': 3724, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 175640385501012288, 'target_is_minimal': False, 'target_label': '8512.2.a.bn.1.3', 'target_level': 8512, 'twist_class_label': '532.2.a.e.1.1', 'twist_class_level': 532, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46475514
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797052522124, 'source_is_minimal': False, 'source_label': '3724.2.a.i.1.3', 'source_level': 3724, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246271296, 'target_is_minimal': False, 'target_label': '8512.2.a.bl.1.1', 'target_level': 8512, 'twist_class_label': '532.2.a.e.1.1', 'twist_class_level': 532, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3329475
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 36028797052522124, 'p': 2}
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id: 3329476
{'charpoly_factorization': [[[8, -7, -1, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 3}
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id: 3329477
{'charpoly_factorization': [[[-14, -9, 2, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 5}
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id: 3329478
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 36028797052522124, 'p': 7}
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id: 3329479
{'charpoly_factorization': [[[-20, -7, 3, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 11}
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id: 3329480
{'charpoly_factorization': [[[-16, 11, 8, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 13}
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id: 3329481
{'charpoly_factorization': [[[-14, 17, 9, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 17}
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id: 3329482
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 36028797052522124, 'p': 19}
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id: 3329483
{'charpoly_factorization': [[[4, -5, -4, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 23}
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id: 3329484
{'charpoly_factorization': [[[2, 15, -11, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 29}
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id: 3329485
{'charpoly_factorization': [[[-4, -17, -5, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 31}
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id: 3329486
{'charpoly_factorization': [[[50, -19, -4, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 37}
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id: 3329487
{'charpoly_factorization': [[[-280, -13, 11, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 41}
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id: 3329488
{'charpoly_factorization': [[[32, -92, 4, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 43}
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id: 3329489
{'charpoly_factorization': [[[-184, -75, -2, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 47}
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id: 3329490
{'charpoly_factorization': [[[322, -39, -9, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 53}
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id: 3329491
{'charpoly_factorization': [[[108, -45, -12, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 59}
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id: 3329492
{'charpoly_factorization': [[[202, -157, -2, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 61}
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id: 3329493
{'charpoly_factorization': [[[-14, 17, 9, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 67}
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id: 3329494
{'charpoly_factorization': [[[-58, -55, 0, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 71}
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id: 3329495
{'charpoly_factorization': [[[302, 83, -21, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 73}
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id: 3329496
{'charpoly_factorization': [[[1016, -148, -6, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 79}
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id: 3329497
{'charpoly_factorization': [[[100, -45, -7, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 83}
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id: 3329498
{'charpoly_factorization': [[[-64, 68, -18, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 89}
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id: 3329499
{'charpoly_factorization': [[[-2536, 39, 28, 1], 1]], 'hecke_orbit_code': 36028797052522124, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '3724.2.a.i', 'level': 3724, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 50700073
{'hecke_orbit_code': 36028797052522124, 'n': 1, 'trace_an': 3}
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id: 50700074
{'hecke_orbit_code': 36028797052522124, 'n': 2, 'trace_an': 0}
-
id: 50700075
{'hecke_orbit_code': 36028797052522124, 'n': 3, 'trace_an': 1}
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id: 50700076
{'hecke_orbit_code': 36028797052522124, 'n': 4, 'trace_an': 0}
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id: 50700077
{'hecke_orbit_code': 36028797052522124, 'n': 5, 'trace_an': -2}
-
id: 50700078
{'hecke_orbit_code': 36028797052522124, 'n': 6, 'trace_an': 0}
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id: 50700079
{'hecke_orbit_code': 36028797052522124, 'n': 7, 'trace_an': 0}
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id: 50700080
{'hecke_orbit_code': 36028797052522124, 'n': 8, 'trace_an': 0}
-
id: 50700081
{'hecke_orbit_code': 36028797052522124, 'n': 9, 'trace_an': 6}
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id: 50700082
{'hecke_orbit_code': 36028797052522124, 'n': 10, 'trace_an': 0}
-
id: 50700083
{'hecke_orbit_code': 36028797052522124, 'n': 11, 'trace_an': -3}
-
id: 50700084
{'hecke_orbit_code': 36028797052522124, 'n': 12, 'trace_an': 0}
-
id: 50700085
{'hecke_orbit_code': 36028797052522124, 'n': 13, 'trace_an': -8}
-
id: 50700086
{'hecke_orbit_code': 36028797052522124, 'n': 14, 'trace_an': 0}
-
id: 50700087
{'hecke_orbit_code': 36028797052522124, 'n': 15, 'trace_an': 7}
-
id: 50700088
{'hecke_orbit_code': 36028797052522124, 'n': 16, 'trace_an': 0}
-
id: 50700089
{'hecke_orbit_code': 36028797052522124, 'n': 17, 'trace_an': -9}
-
id: 50700090
{'hecke_orbit_code': 36028797052522124, 'n': 18, 'trace_an': 0}
-
id: 50700091
{'hecke_orbit_code': 36028797052522124, 'n': 19, 'trace_an': 3}
-
id: 50700092
{'hecke_orbit_code': 36028797052522124, 'n': 20, 'trace_an': 0}
-
id: 50700093
{'hecke_orbit_code': 36028797052522124, 'n': 21, 'trace_an': 0}
-
id: 50700094
{'hecke_orbit_code': 36028797052522124, 'n': 22, 'trace_an': 0}
-
id: 50700095
{'hecke_orbit_code': 36028797052522124, 'n': 23, 'trace_an': 4}
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id: 50700096
{'hecke_orbit_code': 36028797052522124, 'n': 24, 'trace_an': 0}
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