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{'Nk2': 16800, 'analytic_conductor': 33.53716884893776, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1], [7, -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': [4200, 1, [3151, 2101, 2801, 1177, 3601], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[11, [3, 1]], [13, [2, 1]], [17, [0, 1]], [19, [-2, 1]], [23, [-7, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170411112, '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': True, 'label': '4200.2.a.f', 'level': 4200, '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, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '4200.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{7}+q^{9}-3q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4200/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4200.2.a', 'trace_display': [0, -1, 0, 1], 'trace_hash': 184317608794654792, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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'hecke_orbit': 6, 'hecke_orbit_code': 22517998170411112, 'label': '4200.2.a.f.1.1', 'level': 4200, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 4, 5, 3, 4, 2, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4], 'Nk2': 16800, 'analytic_conductor': 33.53716884893776, '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': [4200, 1, [3151, 2101, 2801, 1177, 3601], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 913, 'dim': 58, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 23], 'hecke_orbit_code': 33558632, '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, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '4200.2.a', 'level': 4200, '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, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1008, 'mf_new_dim': 58, 'num_forms': 43, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 58, 'sturm_bound': 1920, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [58, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -4, 0, 8, 0, -44, 0, 8, 0, 0, 0, 32, 0, 58, 0, -16, 0, -12, 0, 0, 0, 0, 0, 16, 0, -44, 0, 0, 0, 0, 0, -24, 0, 0, 0, 40, 0, -20, 0, 0, 0, 0, 0, 32, 0, 58, 0, 16, 0, 0, 0, -32, 0, 4, 0, -16, 0, -24, 0, 0, 0, 12, 0, 0, 0, 100, 0, 0, 0, 0, 0, 16, 0, 92, 0, 0, 0, 44, 0, 0, 0, -4, 0, 8, 0, 66, 0, 24, 0, 0, 0, 0, 0, -32, 0, 64, 0, -16, 0, 0, 0, 28, 0, 48, 0, 16, 0, 0, 0, 0, 0, 0, 0, 124, 0, -32, 0, -4, 0, 0, 0, 44, 0, 16, 0, 0, 0, 40, 0, 0, 0, 48, 0, 62, 0, 0, 0, 92, 0, 0, 0, 24, 0, 48, 0, 116, 0, -8, 0, 0, 0, 96, 0, 2, 0, -24, 0, -60, 0, 0, 0, 20, 0, 32, 0, -16, 0, 16, 0, 0, 0, -8, 0, 16, 0, 32, 0, -32, 0, 0, 0, 8, 0, -16, 0, 120, 0, -32, 0, 0, 0, 0, 0, 4, 0, 0, 0, -36, 0, 0, 0, 16, 0, 8, 0, 4, 0, 0, 0, 0, 0, -112, 0, 32, 0, 0, 0, 32, 0, 0, 0, 12, 0, -16, 0, -36, 0, -8, 0, 0, 0, 56, 0, 180, 0, 32, 0, -4, 0, 0, 0, 12, 0, 0, 0, -60, 0, 16, 0, 0, 0, -40, 0, -26, 0, -32, 0, 28, 0, 0, 0, 0, 0, 16, 0, 16, 0, 16, 0, 0, 0, -32, 0, 32, 0, -48, 0, 108, 0, 0, 0, 52, 0, 0, 0, 16, 0, 0, 0, 0, 0, -32, 0, -32, 0, 0, 0, -4, 0, 0, 0, 4, 0, 32, 0, -64, 0, 0, 0, 0, 0, -112, 0, 20, 0, 8, 0, -20, 0, 0, 0, -4, 0, -8, 0, 98, 0, -32, 0, 0, 0, -32, 0, -44, 0, -16, 0, -68, 0, 0, 0, 40, 0, -16, 0, 32, 0, -112, 0, 0, 0, 8, 0, 28, 0, 32, 0, 40, 0, 0, 0, 76, 0, 0, 0, 148, 0, 48, 0, 0, 0, -48, 0, 36, 0, 64, 0, -40, 0, 0, 0, -16, 0, 96, 0, -84, 0, 32, 0, 0, 0, 8, 0, -48, 0, -72, 0, 44, 0, 0, 0, -64, 0, 0, 0, 58, 0, 32, 0, 0, 0, 32, 0, 36, 0, -48, 0, 48, 0, 0, 0, -28, 0, -16, 0, 68, 0, -48, 0, 0, 0, 0, 0, -16, 0, -24, 0, -176, 0, 0, 0, -12, 0, -80, 0, -40, 0, 8, 0, 0, 0, 32, 0, 32, 0, -48, 0, -40, 0, 0, 0, 16, 0, -16, 0, 0, 0, -80, 0, 0, 0, -32, 0, -60, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 148, 0, -96, 0, 0, 0, -16, 0, 66, 0, 16, 0, -40, 0, 0, 0, -16, 0, 0, 0, 140, 0, -24, 0, 0, 0, 120, 0, -44, 0, 16, 0, -16, 0, 0, 0, 20, 0, -224, 0, -128, 0, 48, 0, 0, 0, 0, 0, 116, 0, -96, 0, 32, 0, 0, 0, 76, 0, -32, 0, 40, 0, 80, 0, 0, 0, -192, 0, -80, 0, -32, 0, 108, 0, 0, 0, 40, 0, -152, 0, -92, 0, -24, 0, 0, 0, -64, 0, 20, 0, -80, 0, -4, 0, 0, 0, 44, 0, 16, 0, 0, 0, 56, 0, 0, 0, 48, 0, -120, 0, -112, 0, 16, 0, 0, 0, -4, 0, 40, 0, -140, 0, 48, 0, 0, 0, 144, 0, -32, 0, -16, 0, -28, 0, 0, 0, -20, 0, 32, 0, -188, 0, 0, 0, 0, 0, -16, 0, -64, 0, -64, 0, 116, 0, 0, 0, -116, 0, 16, 0, 16, 0, 160, 0, 0, 0, -8, 0, 40, 0, 144, 0, 0, 0, 0, 0, 8, 0, -16, 0, -52, 0, 16, 0, 0, 0, -16, 0, -100, 0, 32, 0, -96, 0, 0, 0, 80, 0, -240, 0, -56, 0, 16, 0, 0, 0, 144, 0, 58, 0, -16, 0, 60, 0, 0, 0, -48, 0, 48, 0, -80, 0, -72, 0, 0, 0, 16, 0, -16, 0, -240, 0, -8, 0, 0, 0, -20, 0, -64, 0, 36, 0, 32, 0, 0, 0, -32, 0, -236, 0, 80, 0, -36, 0, 0, 0, -20, 0, -80, 0, -32, 0, -32, 0, 0, 0, -176, 0, -16, 0, -64, 0, -40, 0, 0, 0, 28, 0, -112, 0, 4, 0, -32, 0, 0, 0, -80, 0, -204, 0, 16, 0, 8, 0, 0, 0, -48, 0, -16, 0, -132, 0, 0, 0, 0, 0, -112, 0, -28, 0, -144, 0, -4, 0, 0, 0, -24, 0, -320, 0, 78, 0, 48, 0, 0, 0, -32, 0, -88, 0, -160, 0, 28, 0, 0, 0, -116, 0, -96, 0, -12, 0, 120, 0, 0, 0, 0, 0, -112, 0, -192, 0, 12, 0, 0, 0, 12, 0, -48, 0, -140, 0, -72, 0, 0, 0, 80, 0, 0, 0, 0, 0, -16, 0, 0, 0, -64, 0, -112, 0, -88, 0, -8, 0, 0, 0, -24, 0, 100, 0, -120, 0, -128, 0, 0, 0, 72, 0, -48, 0, -24, 0, 112, 0, 0, 0, 0, 0, 20, 0, 0, 0, -16, 0, 0, 0, -4, 0, -112, 0, -60, 0, -112, 0, 0, 0, 144, 0, -104, 0, 32, 0, -52, 0, 0, 0, -16, 0, 80, 0, 18, 0, 16, 0, 0, 0, 0, 0, -96, 0, -48, 0, 0, 0, 0, 0, 108, 0, -16, 0, 92, 0, -32, 0, 0, 0, 48, 0, -96, 0, 16, 0, 0, 0, 0, 0, -20, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44929771
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170411112, 'source_is_minimal': True, 'source_label': '4200.2.a.f.1.1', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170411112, 'target_is_minimal': True, 'target_label': '4200.2.a.f.1.1', 'target_level': 4200, 'twist_class_label': '4200.2.a.f.1.1', 'twist_class_level': 4200, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44929772
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170411112, 'source_is_minimal': True, 'source_label': '4200.2.a.f.1.1', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 243194379911569616, 'target_is_minimal': False, 'target_label': '8400.2.a.cc.1.1', 'target_level': 8400, 'twist_class_label': '4200.2.a.f.1.1', 'twist_class_level': 4200, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44929773
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170411112, 'source_is_minimal': True, 'source_label': '4200.2.a.f.1.1', 'source_level': 4200, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015704213098600, 'target_is_minimal': False, 'target_label': '4200.2.t.e.1849.2', 'target_level': 4200, 'twist_class_label': '4200.2.a.f.1.1', 'twist_class_level': 4200, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44929774
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170411112, 'source_is_minimal': True, 'source_label': '4200.2.a.f.1.1', 'source_level': 4200, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015704213098600, 'target_is_minimal': False, 'target_label': '4200.2.t.e.1849.1', 'target_level': 4200, 'twist_class_label': '4200.2.a.f.1.1', 'twist_class_level': 4200, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44929775
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170411112, 'source_is_minimal': True, 'source_label': '4200.2.a.f.1.1', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698857064, 'target_is_minimal': True, 'target_label': '4200.2.a.r.1.1', 'target_level': 4200, 'twist_class_label': '4200.2.a.f.1.1', 'twist_class_level': 4200, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44929776
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22517998170411112, 'source_is_minimal': True, 'source_label': '4200.2.a.f.1.1', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482048208, 'target_is_minimal': False, 'target_label': '8400.2.a.bf.1.1', 'target_level': 8400, 'twist_class_label': '4200.2.a.f.1.1', 'twist_class_level': 4200, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3526950
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 2}
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id: 3526951
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 3}
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id: 3526952
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 5}
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id: 3526953
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 7}
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id: 3526954
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 11}
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id: 3526955
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 13}
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id: 3526956
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 17}
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id: 3526957
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 19}
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id: 3526958
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 23}
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id: 3526959
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 29}
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id: 3526960
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 31}
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id: 3526961
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 37}
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id: 3526962
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 41}
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id: 3526963
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 43}
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id: 3526964
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 47}
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id: 3526965
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 53}
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id: 3526966
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 59}
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id: 3526967
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 61}
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id: 3526968
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 67}
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id: 3526969
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 71}
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id: 3526970
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 73}
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id: 3526971
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 79}
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id: 3526972
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 83}
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id: 3526973
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 89}
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id: 3526974
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170411112, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '4200.2.a.f', 'level': 4200, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 164489000
{'hecke_orbit_code': 22517998170411112, 'n': 1, 'trace_an': 1}
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id: 164489001
{'hecke_orbit_code': 22517998170411112, 'n': 2, 'trace_an': 0}
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id: 164489002
{'hecke_orbit_code': 22517998170411112, 'n': 3, 'trace_an': -1}
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id: 164489003
{'hecke_orbit_code': 22517998170411112, 'n': 4, 'trace_an': 0}
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id: 164489004
{'hecke_orbit_code': 22517998170411112, 'n': 5, 'trace_an': 0}
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id: 164489005
{'hecke_orbit_code': 22517998170411112, 'n': 6, 'trace_an': 0}
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id: 164489006
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