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{'Nk2': 16128, 'analytic_conductor': 71.85195127621532, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -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': [448, 1, [127, 197, 129], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [14, 1]], [5, [-56, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199355404736, 'hecke_ring_generator_nbound': 1, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '448.6.a.c', 'level': 448, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '7.6.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-14q^{3}+56q^{5}+7^{2}q^{7}-47q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '448.6.a', 'trace_display': [0, -14, 56, 49], 'trace_hash': 306217744281463870, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.979', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.938', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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-
mf_newspaces • Show schema
Hide schema
{'AL_dims': [[[[2, -1], [7, -1]], 14, 8], [[[2, 1], [7, -1]], 16, 8], [[[2, 1], [7, 1]], 15, 7], [[[2, -1], [7, 1]], 15, 9]], 'ALdims': [15, 16, 15, 14], 'Nk2': 16128, 'analytic_conductor': 71.85195127621532, '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': [448, 1, [127, 197, 129], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 308, 'dim': 60, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 100663744, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5], 'label': '448.6.a', 'level': 448, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 332, 'mf_new_dim': 60, 'num_forms': 32, 'plus_dim': 29, 'prim_orbit_index': 1, 'relative_dim': 60, 'sturm_bound': 384, 'trace_bound': 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-5710093328, 0, 0, 0, 2427263320, 0, 0, 0], 'weight': 6, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 40496596
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199355404736, 'target_is_minimal': False, 'target_label': '448.6.a.c.1.1', 'target_level': 448, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
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id: 40496597
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195629109696, 'target_is_minimal': False, 'target_label': '448.6.a.m.1.1', 'target_level': 448, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 6}
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id: 40496598
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 100663303, 'target_is_minimal': True, 'target_label': '7.6.a.a.1.1', 'target_level': 7, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 6}
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id: 40496599
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597864886384, 'target_is_minimal': False, 'target_label': '112.6.a.g.1.1', 'target_level': 112, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 6}
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id: 40496600
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391157556208, 'target_is_minimal': False, 'target_label': '1008.6.a.y.1.1', 'target_level': 1008, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 6}
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id: 40496601
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398610145343, 'target_is_minimal': False, 'target_label': '63.6.a.e.1.1', 'target_level': 63, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 6}
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id: 40496602
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 99, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68820140207, 'target_is_minimal': False, 'target_label': '175.6.b.a.99.2', 'target_level': 175, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 6}
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id: 40496603
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599728033967, 'target_is_minimal': False, 'target_label': '175.6.a.b.1.1', 'target_level': 175, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 6}
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id: 40496604
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 99, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68820140207, 'target_is_minimal': False, 'target_label': '175.6.b.a.99.1', 'target_level': 175, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 6}
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id: 40496605
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 30, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737166987313, 'target_is_minimal': False, 'target_label': '49.6.c.b.30.1', 'target_level': 49, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '56.3', 'twisting_conrey_index': 3, 'weight': 6}
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id: 40496606
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 30, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336794357809, 'target_is_minimal': False, 'target_label': '49.6.c.c.30.1', 'target_level': 49, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '56.11', 'twisting_conrey_index': 11, 'weight': 6}
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id: 40496607
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199355405072, 'target_is_minimal': False, 'target_label': '784.6.a.c.1.1', 'target_level': 784, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 6}
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id: 40496608
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 18, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737166987313, 'target_is_minimal': False, 'target_label': '49.6.c.b.18.1', 'target_level': 49, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '56.19', 'twisting_conrey_index': 19, 'weight': 6}
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id: 40496609
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 100663345, 'target_is_minimal': False, 'target_label': '49.6.a.a.1.1', 'target_level': 49, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 6}
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id: 40496610
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 18, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336794357809, 'target_is_minimal': False, 'target_label': '49.6.c.c.18.1', 'target_level': 49, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '56.51', 'twisting_conrey_index': 51, 'weight': 6}
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id: 40496611
{'conductor': 88, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599728034639, 'target_is_minimal': False, 'target_label': '847.6.a.b.1.1', 'target_level': 847, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '88.43', 'twisting_conrey_index': 43, 'weight': 6}
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id: 40496612
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199355404736, 'source_is_minimal': False, 'source_label': '448.6.a.c.1.1', 'source_level': 448, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996374368697, 'target_is_minimal': False, 'target_label': '441.6.a.k.1.1', 'target_level': 441, 'twist_class_label': '7.6.a.a.1.1', 'twist_class_level': 7, 'twisting_char_label': '168.83', 'twisting_conrey_index': 83, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 906125
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 2}
-
id: 906126
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 3}
-
id: 906127
{'charpoly_factorization': [[[-56, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 5}
-
id: 906128
{'charpoly_factorization': [[[-49, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 7}
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id: 906129
{'charpoly_factorization': [[[-232, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 11}
-
id: 906130
{'charpoly_factorization': [[[-140, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 13}
-
id: 906131
{'charpoly_factorization': [[[1722, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 17}
-
id: 906132
{'charpoly_factorization': [[[98, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 19}
-
id: 906133
{'charpoly_factorization': [[[1824, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 23}
-
id: 906134
{'charpoly_factorization': [[[3418, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 29}
-
id: 906135
{'charpoly_factorization': [[[-7644, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 31}
-
id: 906136
{'charpoly_factorization': [[[-10398, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 37}
-
id: 906137
{'charpoly_factorization': [[[17962, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 41}
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id: 906138
{'charpoly_factorization': [[[-10880, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 43}
-
id: 906139
{'charpoly_factorization': [[[9324, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 47}
-
id: 906140
{'charpoly_factorization': [[[2262, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 53}
-
id: 906141
{'charpoly_factorization': [[[2730, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 59}
-
id: 906142
{'charpoly_factorization': [[[25648, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 61}
-
id: 906143
{'charpoly_factorization': [[[48404, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 67}
-
id: 906144
{'charpoly_factorization': [[[-58560, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 71}
-
id: 906145
{'charpoly_factorization': [[[-68082, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 73}
-
id: 906146
{'charpoly_factorization': [[[31784, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 79}
-
id: 906147
{'charpoly_factorization': [[[20538, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 83}
-
id: 906148
{'charpoly_factorization': [[[50582, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 89}
-
id: 906149
{'charpoly_factorization': [[[58506, 1], 1]], 'hecke_orbit_code': 9007199355404736, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '448.6.a.c', 'level': 448, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
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id: 112092000
{'hecke_orbit_code': 9007199355404736, 'n': 1, 'trace_an': 1}
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id: 112092001
{'hecke_orbit_code': 9007199355404736, 'n': 2, 'trace_an': 0}
-
id: 112092002
{'hecke_orbit_code': 9007199355404736, 'n': 3, 'trace_an': -14}
-
id: 112092003
{'hecke_orbit_code': 9007199355404736, 'n': 4, 'trace_an': 0}
-
id: 112092004
{'hecke_orbit_code': 9007199355404736, 'n': 5, 'trace_an': 56}
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id: 112092005
{'hecke_orbit_code': 9007199355404736, 'n': 6, 'trace_an': 0}
-
id: 112092006
{'hecke_orbit_code': 9007199355404736, 'n': 7, 'trace_an': 49}
-
id: 112092007
{'hecke_orbit_code': 9007199355404736, 'n': 8, 'trace_an': 0}
-
id: 112092008
{'hecke_orbit_code': 9007199355404736, 'n': 9, 'trace_an': -47}
-
id: 112092009
{'hecke_orbit_code': 9007199355404736, 'n': 10, 'trace_an': 0}
-
id: 112092010
{'hecke_orbit_code': 9007199355404736, 'n': 11, 'trace_an': 232}
-
id: 112092011
{'hecke_orbit_code': 9007199355404736, 'n': 12, 'trace_an': 0}
-
id: 112092012
{'hecke_orbit_code': 9007199355404736, 'n': 13, 'trace_an': 140}
-
id: 112092013
{'hecke_orbit_code': 9007199355404736, 'n': 14, 'trace_an': 0}
-
id: 112092014
{'hecke_orbit_code': 9007199355404736, 'n': 15, 'trace_an': -784}
-
id: 112092015
{'hecke_orbit_code': 9007199355404736, 'n': 16, 'trace_an': 0}
-
id: 112092016
{'hecke_orbit_code': 9007199355404736, 'n': 17, 'trace_an': -1722}
-
id: 112092017
{'hecke_orbit_code': 9007199355404736, 'n': 18, 'trace_an': 0}
-
id: 112092018
{'hecke_orbit_code': 9007199355404736, 'n': 19, 'trace_an': -98}
-
id: 112092019
{'hecke_orbit_code': 9007199355404736, 'n': 20, 'trace_an': 0}
-
id: 112092020
{'hecke_orbit_code': 9007199355404736, 'n': 21, 'trace_an': -686}
-
id: 112092021
{'hecke_orbit_code': 9007199355404736, 'n': 22, 'trace_an': 0}
-
id: 112092022
{'hecke_orbit_code': 9007199355404736, 'n': 23, 'trace_an': -1824}
-
id: 112092023
{'hecke_orbit_code': 9007199355404736, 'n': 24, 'trace_an': 0}
-
id: 112092024
{'hecke_orbit_code': 9007199355404736, 'n': 25, 'trace_an': 11}
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