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{'Nk2': 32448, 'analytic_conductor': 64.77464611966265, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [13, 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': [8112, 1, [5071, 6085, 2705, 3889], [1, 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': [[5, [4, 1]], [7, [0, 1]], [11, [2, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071490480, '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': '8112.2.a.q', 'level': 8112, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '312.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-4q^{5}+q^{9}-2q^{11}-4q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/8112/q'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8112.2.a', 'trace_display': [0, 1, -4, 0], 'trace_hash': 641212787197785596, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.114', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.906', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1]], 21, 9], [[[2, 1], [3, -1], [13, 1]], 23, 12], [[[2, 1], [3, -1], [13, -1]], 15, 6], [[[2, -1], [3, -1], [13, 1]], 18, 12], [[[2, -1], [3, 1], [13, -1]], 21, 10], [[[2, 1], [3, 1], [13, -1]], 21, 8], [[[2, -1], [3, 1], [13, 1]], 18, 9], [[[2, 1], [3, 1], [13, 1]], 18, 9]], 'ALdims': [18, 21, 23, 15, 18, 21, 18, 21], 'Nk2': 32448, 'analytic_conductor': 64.77464611966265, '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': [8112, 1, [5071, 6085, 2705, 3889], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1373, 'dim': 155, 'eis_dim': 167, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33562544, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6], 'label': '8112.2.a', 'level': 8112, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 1540, 'mf_new_dim': 155, 'num_forms': 75, 'plus_dim': 72, 'prim_orbit_index': 1, 'relative_dim': 155, 'sturm_bound': 2912, 'trace_bound': 17, 'trace_display': [0, -1, 2, -4], 'traces': [155, 0, -1, 0, 2, 0, -4, 0, 155, 0, -4, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 8, 0, 149, 0, -1, 0, 10, 0, -12, 0, -4, 0, 0, 0, 10, 0, 0, 0, 6, 0, -4, 0, 2, 0, -24, 0, 155, 0, -10, 0, 18, 0, 16, 0, -4, 0, 4, 0, 18, 0, -4, 0, 0, 0, -24, 0, 8, 0, 24, 0, -18, 0, 1, 0, 16, 0, -24, 0, 155, 0, 44, 0, 4, 0, -6, 0, 6, 0, 0, 0, -8, 0, -16, 0, 6, 0, -4, 0, 18, 0, 40, 0, 0, 0, -20, 0, 18, 0, -22, 0, 14, 0, 0, 0, 0, 0, 72, 0, 191, 0, 18, 0, 36, 0, -24, 0, 4, 0, 44, 0, 16, 0, -2, 0, 6, 0, 4, 0, 0, 0, 0, 0, -20, 0, -25, 0, 34, 0, -12, 0, -2, 0, -72, 0, -30, 0, 18, 0, 0, 0, 40, 0, -24, 0, 16, 0, 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mf_twists_cc • Show schema
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id: 48028961
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071490480, 'target_is_minimal': False, 'target_label': '8112.2.a.q.1.1', 'target_level': 8112, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48028962
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33558488, 'target_is_minimal': False, 'target_label': '4056.2.a.a.1.1', 'target_level': 4056, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48028963
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889520, 'target_is_minimal': False, 'target_label': '624.2.a.j.1.1', 'target_level': 624, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48028964
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660926800, 'target_is_minimal': False, 'target_label': '1872.2.a.b.1.1', 'target_level': 1872, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48028965
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936354623448, 'target_is_minimal': False, 'target_label': '4056.2.c.d.337.2', 'target_level': 4056, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '52.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 48028966
{'conductor': 52, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354623448, 'target_is_minimal': False, 'target_label': '4056.2.c.d.337.1', 'target_level': 4056, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '52.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48028967
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295736, 'target_is_minimal': True, 'target_label': '312.2.a.c.1.1', 'target_level': 312, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 48028968
{'conductor': 104, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444114368, 'target_is_minimal': False, 'target_label': '2496.2.a.p.1.1', 'target_level': 2496, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '104.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 48028969
{'conductor': 104, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33556928, 'target_is_minimal': False, 'target_label': '2496.2.a.a.1.1', 'target_level': 2496, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '104.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 48028970
{'conductor': 156, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555368, 'target_is_minimal': False, 'target_label': '936.2.a.a.1.1', 'target_level': 936, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '156.155', 'twisting_conrey_index': 155, 'weight': 2}
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id: 48028971
{'conductor': 260, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326231160, 'target_is_minimal': False, 'target_label': '7800.2.a.s.1.1', 'target_level': 7800, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '260.259', 'twisting_conrey_index': 259, 'weight': 2}
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id: 48028972
{'conductor': 312, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 243194379911568704, 'target_is_minimal': False, 'target_label': '7488.2.a.cc.1.1', 'target_level': 7488, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '312.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 48028973
{'conductor': 312, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071490480, 'source_is_minimal': False, 'source_label': '8112.2.a.q.1.1', 'source_level': 8112, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780284198208, 'target_is_minimal': False, 'target_label': '7488.2.a.cb.1.1', 'target_level': 7488, 'twist_class_label': '312.2.a.c.1.1', 'twist_class_level': 312, 'twisting_char_label': '312.155', 'twisting_conrey_index': 155, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4663000
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 2}
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id: 4663001
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 3}
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id: 4663002
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 5}
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id: 4663003
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 7}
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id: 4663004
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 11}
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id: 4663005
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 13}
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id: 4663006
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 17}
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id: 4663007
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 19}
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id: 4663008
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 23}
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id: 4663009
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 29}
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id: 4663010
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 31}
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id: 4663011
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 37}
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id: 4663012
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 41}
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id: 4663013
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 43}
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id: 4663014
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 47}
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id: 4663015
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 53}
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id: 4663016
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 59}
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id: 4663017
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 61}
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id: 4663018
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 67}
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id: 4663019
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 71}
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id: 4663020
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 73}
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id: 4663021
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 79}
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id: 4663022
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 83}
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id: 4663023
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 89}
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id: 4663024
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 72057594071490480, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '8112.2.a.q', 'level': 8112, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 239343000
{'hecke_orbit_code': 72057594071490480, 'n': 1, 'trace_an': 1}
-
id: 239343001
{'hecke_orbit_code': 72057594071490480, 'n': 2, 'trace_an': 0}
-
id: 239343002
{'hecke_orbit_code': 72057594071490480, 'n': 3, 'trace_an': 1}
-
id: 239343003
{'hecke_orbit_code': 72057594071490480, 'n': 4, 'trace_an': 0}
-
id: 239343004
{'hecke_orbit_code': 72057594071490480, 'n': 5, 'trace_an': -4}
-
id: 239343005
{'hecke_orbit_code': 72057594071490480, 'n': 6, 'trace_an': 0}
-
id: 239343006
{'hecke_orbit_code': 72057594071490480, 'n': 7, 'trace_an': 0}
-
id: 239343007
{'hecke_orbit_code': 72057594071490480, 'n': 8, 'trace_an': 0}
-
id: 239343008
{'hecke_orbit_code': 72057594071490480, 'n': 9, 'trace_an': 1}
-
id: 239343009
{'hecke_orbit_code': 72057594071490480, 'n': 10, 'trace_an': 0}
-
id: 239343010
{'hecke_orbit_code': 72057594071490480, 'n': 11, 'trace_an': -2}
-
id: 239343011
{'hecke_orbit_code': 72057594071490480, 'n': 12, 'trace_an': 0}
-
id: 239343012
{'hecke_orbit_code': 72057594071490480, 'n': 13, 'trace_an': 0}
-
id: 239343013
{'hecke_orbit_code': 72057594071490480, 'n': 14, 'trace_an': 0}
-
id: 239343014
{'hecke_orbit_code': 72057594071490480, 'n': 15, 'trace_an': -4}
-
id: 239343015
{'hecke_orbit_code': 72057594071490480, 'n': 16, 'trace_an': 0}
-
id: 239343016
{'hecke_orbit_code': 72057594071490480, 'n': 17, 'trace_an': 2}
-
id: 239343017
{'hecke_orbit_code': 72057594071490480, 'n': 18, 'trace_an': 0}
-
id: 239343018
{'hecke_orbit_code': 72057594071490480, 'n': 19, 'trace_an': 8}
-
id: 239343019
{'hecke_orbit_code': 72057594071490480, 'n': 20, 'trace_an': 0}
-
id: 239343020
{'hecke_orbit_code': 72057594071490480, 'n': 21, 'trace_an': 0}
-
id: 239343021
{'hecke_orbit_code': 72057594071490480, 'n': 22, 'trace_an': 0}
-
id: 239343022
{'hecke_orbit_code': 72057594071490480, 'n': 23, 'trace_an': -4}
-
id: 239343023
{'hecke_orbit_code': 72057594071490480, 'n': 24, 'trace_an': 0}
-
id: 239343024
{'hecke_orbit_code': 72057594071490480, 'n': 25, 'trace_an': 11}
-
id: 239343025
{'hecke_orbit_code': 72057594071490480, 'n': 26, 'trace_an': 0}
-
id: 239343026
{'hecke_orbit_code': 72057594071490480, 'n': 27, 'trace_an': 1}
-
id: 239343027
{'hecke_orbit_code': 72057594071490480, 'n': 28, 'trace_an': 0}
-
id: 239343028
{'hecke_orbit_code': 72057594071490480, 'n': 29, 'trace_an': -6}
-
id: 239343029
{'hecke_orbit_code': 72057594071490480, 'n': 30, 'trace_an': 0}
-
id: 239343030
{'hecke_orbit_code': 72057594071490480, 'n': 31, 'trace_an': -4}
-
id: 239343031
{'hecke_orbit_code': 72057594071490480, 'n': 32, 'trace_an': 0}
-
id: 239343032
{'hecke_orbit_code': 72057594071490480, 'n': 33, 'trace_an': -2}
-
id: 239343033
{'hecke_orbit_code': 72057594071490480, 'n': 34, 'trace_an': 0}
-
id: 239343034
{'hecke_orbit_code': 72057594071490480, 'n': 35, 'trace_an': 0}
-
id: 239343035
{'hecke_orbit_code': 72057594071490480, 'n': 36, 'trace_an': 0}
-
id: 239343036
{'hecke_orbit_code': 72057594071490480, 'n': 37, 'trace_an': -6}
-
id: 239343037
{'hecke_orbit_code': 72057594071490480, 'n': 38, 'trace_an': 0}
-
id: 239343038
{'hecke_orbit_code': 72057594071490480, 'n': 39, 'trace_an': 0}
-
id: 239343039
{'hecke_orbit_code': 72057594071490480, 'n': 40, 'trace_an': 0}
-
id: 239343040
{'hecke_orbit_code': 72057594071490480, 'n': 41, 'trace_an': 12}
-
id: 239343041
{'hecke_orbit_code': 72057594071490480, 'n': 42, 'trace_an': 0}
-
id: 239343042
{'hecke_orbit_code': 72057594071490480, 'n': 43, 'trace_an': -4}
-
id: 239343043
{'hecke_orbit_code': 72057594071490480, 'n': 44, 'trace_an': 0}
-
id: 239343044
{'hecke_orbit_code': 72057594071490480, 'n': 45, 'trace_an': -4}
-
id: 239343045
{'hecke_orbit_code': 72057594071490480, 'n': 46, 'trace_an': 0}
-
id: 239343046
{'hecke_orbit_code': 72057594071490480, 'n': 47, 'trace_an': -6}
-
id: 239343047
{'hecke_orbit_code': 72057594071490480, 'n': 48, 'trace_an': 0}
-
id: 239343048
{'hecke_orbit_code': 72057594071490480, 'n': 49, 'trace_an': -7}
-
id: 239343049
{'hecke_orbit_code': 72057594071490480, 'n': 50, 'trace_an': 0}
-
id: 239343050
{'hecke_orbit_code': 72057594071490480, 'n': 51, 'trace_an': 2}
-
id: 239343051
{'hecke_orbit_code': 72057594071490480, 'n': 52, 'trace_an': 0}
-
id: 239343052
{'hecke_orbit_code': 72057594071490480, 'n': 53, 'trace_an': -2}
-
id: 239343053
{'hecke_orbit_code': 72057594071490480, 'n': 54, 'trace_an': 0}
-
id: 239343054
{'hecke_orbit_code': 72057594071490480, 'n': 55, 'trace_an': 8}
-
id: 239343055
{'hecke_orbit_code': 72057594071490480, 'n': 56, 'trace_an': 0}
-
id: 239343056
{'hecke_orbit_code': 72057594071490480, 'n': 57, 'trace_an': 8}
-
id: 239343057
{'hecke_orbit_code': 72057594071490480, 'n': 58, 'trace_an': 0}
-
id: 239343058
{'hecke_orbit_code': 72057594071490480, 'n': 59, 'trace_an': -14}
-
id: 239343059
{'hecke_orbit_code': 72057594071490480, 'n': 60, 'trace_an': 0}
-
id: 239343060
{'hecke_orbit_code': 72057594071490480, 'n': 61, 'trace_an': 10}
-
id: 239343061
{'hecke_orbit_code': 72057594071490480, 'n': 62, 'trace_an': 0}
-
id: 239343062
{'hecke_orbit_code': 72057594071490480, 'n': 63, 'trace_an': 0}
-
id: 239343063
{'hecke_orbit_code': 72057594071490480, 'n': 64, 'trace_an': 0}
-
id: 239343064
{'hecke_orbit_code': 72057594071490480, 'n': 65, 'trace_an': 0}
-
id: 239343065
{'hecke_orbit_code': 72057594071490480, 'n': 66, 'trace_an': 0}
-
id: 239343066
{'hecke_orbit_code': 72057594071490480, 'n': 67, 'trace_an': -4}
-
id: 239343067
{'hecke_orbit_code': 72057594071490480, 'n': 68, 'trace_an': 0}
-
id: 239343068
{'hecke_orbit_code': 72057594071490480, 'n': 69, 'trace_an': -4}
-
id: 239343069
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