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{'Nk2': 34048, 'analytic_conductor': 67.96866220051386, 'analytic_rank': 1, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8512, 1, [5055, 6917, 7297, 3137], [1, 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]], [5, [-14, -9, 2, 1]], [11, [-20, -7, 3, 1]], [23, [-4, -5, 4, 1]]], 'hecke_orbit': 38, 'hecke_orbit_code': 166633186246271296, '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': '8512.2.a.bl', 'level': 8512, '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}+q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8512.2.a', 'trace_display': [0, -1, -2, 3], 'trace_hash': 2011109107358598777, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_newspaces • Show schema
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{'ALdims': [26, 28, 27, 25, 28, 26, 27, 29], 'Nk2': 34048, 'analytic_conductor': 67.96866220051386, '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': [8512, 1, [5055, 6917, 7297, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1257, 'dim': 216, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11, 23], 'hecke_orbit_code': 33562944, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10], 'label': '8512.2.a', 'level': 8512, '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': 1304, 'mf_new_dim': 216, 'num_forms': 64, 'plus_dim': 104, 'prim_orbit_index': 1, 'relative_dim': 216, 'sturm_bound': 2560, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [216, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 216, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, 184, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -80, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 48, 0, 0, 0, -80, 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, 296, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -112, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -96, 0, 0, 0, -112, 0, 0, 0, 80, 0, 0, 0, -256, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -192, 0, 0, 0, -384, 0, 0, 0, 48, 0, 0, 0, -256, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -208, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -160, 0, 0, 0, -176, 0, 0, 0, 96, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 80, 0, 0, 0, 160, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -112, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 176, 0, 0, 0, 128, 0, 0, 0, -288, 0, 0, 0, 16, 0, 0, 0, -288, 0, 0, 0, -80, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 288, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, -144, 0, 0, 0, -192, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 160, 0, 0, 0, -128, 0, 0, 0, -80, 0, 0, 0, -272, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -176, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, -320, 0, 0, 0, 112, 0, 0, 0, -192, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 112, 0, 0, 0, -168, 0, 0, 0, -96, 0, 0, 0, -96, 0, 0, 0, 128, 0, 0, 0, -320, 0, 0, 0, 112, 0, 0, 0, -128, 0, 0, 0, -272, 0, 0, 0, 80, 0, 0, 0, 480, 0, 0, 0, 208, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -256, 0, 0, 0, 416, 0, 0, 0, -192, 0, 0, 0, -96, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -192, 0, 0, 0, 288, 0, 0, 0, 16, 0, 0, 0, 160, 0, 0, 0, 456, 0, 0, 0, 416, 0, 0, 0, -256, 0, 0, 0, 96, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, -112, 0, 0, 0, 272, 0, 0, 0, -80, 0, 0, 0, 448, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, -192, 0, 0, 0, 160, 0, 0, 0, 192, 0, 0, 0, -176, 0, 0, 0, -48, 0, 0, 0, 320, 0, 0, 0, 48, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 48, 0, 0, 0, 480, 0, 0, 0, 344, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 464, 0, 0, 0, -256, 0, 0, 0, 448, 0, 0, 0, -320, 0, 0, 0, 512, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48895896
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 166633186246271296, 'source_is_minimal': False, 'source_label': '8512.2.a.bl.1.3', 'source_level': 8512, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 166633186246271296, 'target_is_minimal': False, 'target_label': '8512.2.a.bl.1.3', 'target_level': 8512, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48895897
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 166633186246271296, 'source_is_minimal': False, 'source_label': '8512.2.a.bl.1.3', 'source_level': 8512, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501012288, 'target_is_minimal': False, 'target_label': '8512.2.a.bn.1.1', 'target_level': 8512, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48895898
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 166633186246271296, 'source_is_minimal': False, 'source_label': '8512.2.a.bl.1.3', 'source_level': 8512, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398543036948, 'target_is_minimal': True, 'target_label': '532.2.a.e.1.3', 'target_level': 532, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48895899
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 166633186246271296, 'source_is_minimal': False, 'source_label': '8512.2.a.bl.1.3', 'source_level': 8512, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854992, 'target_is_minimal': False, 'target_label': '2128.2.a.r.1.1', 'target_level': 2128, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48895900
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 166633186246271296, 'source_is_minimal': False, 'source_label': '8512.2.a.bl.1.3', 'source_level': 8512, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816746164, 'target_is_minimal': False, 'target_label': '4788.2.a.o.1.2', 'target_level': 4788, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48895901
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 166633186246271296, 'source_is_minimal': False, 'source_label': '8512.2.a.bl.1.3', 'source_level': 8512, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052522124, 'target_is_minimal': False, 'target_label': '3724.2.a.i.1.1', 'target_level': 3724, 'twist_class_label': '532.2.a.e.1.3', '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: 4772875
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 166633186246271296, 'p': 2}
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id: 4772876
{'charpoly_factorization': [[[-8, -7, 1, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 3}
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id: 4772877
{'charpoly_factorization': [[[-14, -9, 2, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 5}
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id: 4772878
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 166633186246271296, 'p': 7}
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id: 4772879
{'charpoly_factorization': [[[-20, -7, 3, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 11}
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id: 4772880
{'charpoly_factorization': [[[-16, 11, 8, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 13}
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id: 4772881
{'charpoly_factorization': [[[14, 17, -9, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 17}
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id: 4772882
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 166633186246271296, 'p': 19}
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id: 4772883
{'charpoly_factorization': [[[-4, -5, 4, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 23}
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id: 4772884
{'charpoly_factorization': [[[-2, 15, 11, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 29}
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id: 4772885
{'charpoly_factorization': [[[-4, -17, -5, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 31}
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id: 4772886
{'charpoly_factorization': [[[-50, -19, 4, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 37}
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id: 4772887
{'charpoly_factorization': [[[280, -13, -11, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 41}
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id: 4772888
{'charpoly_factorization': [[[32, -92, 4, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 43}
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id: 4772889
{'charpoly_factorization': [[[-184, -75, -2, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 47}
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id: 4772890
{'charpoly_factorization': [[[-322, -39, 9, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 53}
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id: 4772891
{'charpoly_factorization': [[[-108, -45, 12, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 59}
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id: 4772892
{'charpoly_factorization': [[[202, -157, -2, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 61}
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id: 4772893
{'charpoly_factorization': [[[-14, 17, 9, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 67}
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id: 4772894
{'charpoly_factorization': [[[58, -55, 0, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 71}
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id: 4772895
{'charpoly_factorization': [[[-302, 83, 21, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 73}
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id: 4772896
{'charpoly_factorization': [[[-1016, -148, 6, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 79}
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id: 4772897
{'charpoly_factorization': [[[-100, -45, 7, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 83}
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id: 4772898
{'charpoly_factorization': [[[64, 68, 18, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 89}
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id: 4772899
{'charpoly_factorization': [[[2536, 39, -28, 1], 1]], 'hecke_orbit_code': 166633186246271296, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 38, 'label': '8512.2.a.bl', 'level': 8512, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 70182169
{'hecke_orbit_code': 166633186246271296, 'n': 1, 'trace_an': 3}
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id: 70182170
{'hecke_orbit_code': 166633186246271296, 'n': 2, 'trace_an': 0}
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id: 70182171
{'hecke_orbit_code': 166633186246271296, 'n': 3, 'trace_an': -1}
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id: 70182172
{'hecke_orbit_code': 166633186246271296, 'n': 4, 'trace_an': 0}
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id: 70182173
{'hecke_orbit_code': 166633186246271296, 'n': 5, 'trace_an': -2}
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id: 70182174
{'hecke_orbit_code': 166633186246271296, 'n': 6, 'trace_an': 0}
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id: 70182175
{'hecke_orbit_code': 166633186246271296, 'n': 7, 'trace_an': 3}
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id: 70182176
{'hecke_orbit_code': 166633186246271296, 'n': 8, 'trace_an': 0}
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id: 70182177
{'hecke_orbit_code': 166633186246271296, 'n': 9, 'trace_an': 6}
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id: 70182178
{'hecke_orbit_code': 166633186246271296, 'n': 10, 'trace_an': 0}
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id: 70182179
{'hecke_orbit_code': 166633186246271296, 'n': 11, 'trace_an': -3}
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id: 70182180
{'hecke_orbit_code': 166633186246271296, 'n': 12, 'trace_an': 0}
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id: 70182181
{'hecke_orbit_code': 166633186246271296, 'n': 13, 'trace_an': -8}
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id: 70182182
{'hecke_orbit_code': 166633186246271296, 'n': 14, 'trace_an': 0}
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id: 70182183
{'hecke_orbit_code': 166633186246271296, 'n': 15, 'trace_an': -7}
-
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