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{'Nk2': 34048, 'analytic_conductor': 67.96866220051386, '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': 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': 40, 'hecke_orbit_code': 175640385501012288, '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.bn', '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': 1852430793617530582, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.065', '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: 48927795
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 175640385501012288, 'source_is_minimal': False, 'source_label': '8512.2.a.bn.1.1', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48927796
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 175640385501012288, 'source_is_minimal': False, 'source_label': '8512.2.a.bn.1.1', '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': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48927797
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 175640385501012288, 'source_is_minimal': False, 'source_label': '8512.2.a.bn.1.1', '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': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48927798
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 175640385501012288, 'source_is_minimal': False, 'source_label': '8512.2.a.bn.1.1', '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': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48927799
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 175640385501012288, 'source_is_minimal': False, 'source_label': '8512.2.a.bn.1.1', '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': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48927800
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 175640385501012288, 'source_is_minimal': False, 'source_label': '8512.2.a.bn.1.1', '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': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4775725
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 175640385501012288, 'p': 2}
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id: 4775726
{'charpoly_factorization': [[[8, -7, -1, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 3}
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id: 4775727
{'charpoly_factorization': [[[-14, -9, 2, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 5}
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id: 4775728
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 175640385501012288, 'p': 7}
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id: 4775729
{'charpoly_factorization': [[[20, -7, -3, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 11}
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id: 4775730
{'charpoly_factorization': [[[-16, 11, 8, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 13}
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id: 4775731
{'charpoly_factorization': [[[14, 17, -9, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 17}
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id: 4775732
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 175640385501012288, 'p': 19}
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id: 4775733
{'charpoly_factorization': [[[4, -5, -4, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 23}
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id: 4775734
{'charpoly_factorization': [[[-2, 15, 11, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 29}
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id: 4775735
{'charpoly_factorization': [[[4, -17, 5, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 31}
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id: 4775736
{'charpoly_factorization': [[[-50, -19, 4, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 37}
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id: 4775737
{'charpoly_factorization': [[[280, -13, -11, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 41}
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id: 4775738
{'charpoly_factorization': [[[-32, -92, -4, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 43}
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id: 4775739
{'charpoly_factorization': [[[184, -75, 2, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 47}
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id: 4775740
{'charpoly_factorization': [[[-322, -39, 9, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 53}
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id: 4775741
{'charpoly_factorization': [[[108, -45, -12, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 59}
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id: 4775742
{'charpoly_factorization': [[[202, -157, -2, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 61}
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id: 4775743
{'charpoly_factorization': [[[14, 17, -9, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 67}
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id: 4775744
{'charpoly_factorization': [[[-58, -55, 0, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 71}
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id: 4775745
{'charpoly_factorization': [[[-302, 83, 21, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 73}
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id: 4775746
{'charpoly_factorization': [[[1016, -148, -6, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 79}
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id: 4775747
{'charpoly_factorization': [[[100, -45, -7, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 83}
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id: 4775748
{'charpoly_factorization': [[[64, 68, 18, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 89}
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id: 4775749
{'charpoly_factorization': [[[2536, 39, -28, 1], 1]], 'hecke_orbit_code': 175640385501012288, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 40, 'label': '8512.2.a.bn', 'level': 8512, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70489963
{'hecke_orbit_code': 175640385501012288, 'n': 1, 'trace_an': 3}
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id: 70489964
{'hecke_orbit_code': 175640385501012288, 'n': 2, 'trace_an': 0}
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id: 70489965
{'hecke_orbit_code': 175640385501012288, 'n': 3, 'trace_an': 1}
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id: 70489966
{'hecke_orbit_code': 175640385501012288, 'n': 4, 'trace_an': 0}
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id: 70489967
{'hecke_orbit_code': 175640385501012288, 'n': 5, 'trace_an': -2}
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id: 70489968
{'hecke_orbit_code': 175640385501012288, 'n': 6, 'trace_an': 0}
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id: 70489969
{'hecke_orbit_code': 175640385501012288, 'n': 7, 'trace_an': -3}
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id: 70489970
{'hecke_orbit_code': 175640385501012288, 'n': 8, 'trace_an': 0}
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id: 70489971
{'hecke_orbit_code': 175640385501012288, 'n': 9, 'trace_an': 6}
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id: 70489972
{'hecke_orbit_code': 175640385501012288, 'n': 10, 'trace_an': 0}
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id: 70489973
{'hecke_orbit_code': 175640385501012288, 'n': 11, 'trace_an': 3}
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id: 70489974
{'hecke_orbit_code': 175640385501012288, 'n': 12, 'trace_an': 0}
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id: 70489975
{'hecke_orbit_code': 175640385501012288, 'n': 13, 'trace_an': -8}
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id: 70489976
{'hecke_orbit_code': 175640385501012288, 'n': 14, 'trace_an': 0}
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id: 70489977
{'hecke_orbit_code': 175640385501012288, 'n': 15, 'trace_an': 7}
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id: 70489978
{'hecke_orbit_code': 175640385501012288, 'n': 16, 'trace_an': 0}
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id: 70489979
{'hecke_orbit_code': 175640385501012288, 'n': 17, 'trace_an': 9}
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id: 70489980
{'hecke_orbit_code': 175640385501012288, 'n': 18, 'trace_an': 0}
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id: 70489981
{'hecke_orbit_code': 175640385501012288, 'n': 19, 'trace_an': 3}
-
id: 70489982
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id: 70490200
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id: 70490201
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id: 70490202
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id: 70490203
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id: 70490204
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id: 70490205
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id: 70490207
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id: 70490208
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id: 70490209
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id: 70490210
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id: 70490211
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id: 70490212
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id: 70490213
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id: 70490214
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id: 70490215
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id: 70490216
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id: 70490217
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id: 70490218
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id: 70490219
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id: 70490220
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