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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-2, 2, 1]], [7, [2, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934631408, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1520.2.a.l', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '380.2.a.d', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{3}+q^{5}-2q^{7}+(1-2\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1520.2.a', 'trace_display': [0, -2, 2, -4], 'trace_hash': 772154973346287430, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.899', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.318', 'prec': 17}, 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 5, 2], [[[2, -1], [5, -1], [19, -1]], 7, 3], [[[2, 1], [5, -1], [19, -1]], 4, 4], [[[2, 1], [5, -1], [19, 1]], 4, 2], [[[2, 1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [5, -1], [19, 1]], 3, 2], [[[2, -1], [5, 1], [19, 1]], 6, 3], [[[2, -1], [5, 1], [19, -1]], 2, 2]], 'ALdims': [5, 5, 4, 4, 6, 2, 3, 7], 'Nk2': 6080, 'analytic_conductor': 12.137261107234618, '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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 229, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33555952, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4], 'label': '1520.2.a', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 252, 'mf_new_dim': 36, 'num_forms': 20, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [36, 0, 0, 0, 0, 0, 4, 0, 36, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 20, 0, 36, 0, 24, 0, -8, 0, 0, 0, 0, 0, -12, 0, -16, 0, 0, 0, 0, 0, -4, 0, 8, 0, -4, 0, 36, 0, 16, 0, -16, 0, 8, 0, 0, 0, 16, 0, 0, 0, 60, 0, 0, 0, 40, 0, 40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, 28, 0, 4, 0, 0, 0, -24, 0, -8, 0, 64, 0, -16, 0, 8, 0, 0, 0, -40, 0, -40, 0, 48, 0, -8, 0, -16, 0, -16, 0, 56, 0, -32, 0, -12, 0, -16, 0, -80, 0, 20, 0, 48, 0, 0, 0, -8, 0, 8, 0, -8, 0, 0, 0, -24, 0, -32, 0, -48, 0, -40, 0, -24, 0, 16, 0, -32, 0, 16, 0, 32, 0, 24, 0, 16, 0, 0, 0, -32, 0, -16, 0, 28, 0, 0, 0, 0, 0, 84, 0, 0, 0, -48, 0, 4, 0, 56, 0, -64, 0, 24, 0, -72, 0, 0, 0, -48, 0, -16, 0, 0, 0, 0, 0, -8, 0, -96, 0, -56, 0, 32, 0, -40, 0, 24, 0, 76, 0, 0, 0, 32, 0, -128, 0, 4, 0, 32, 0, 80, 0, -32, 0, -24, 0, 36, 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mf_twists_cc • Show schema
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id: 47271554
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934631408, 'target_is_minimal': False, 'target_label': '1520.2.a.l.1.2', 'target_level': 1520, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47271555
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666300, 'target_is_minimal': True, 'target_label': '380.2.a.d.1.1', 'target_level': 380, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47271556
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482047408, 'target_is_minimal': False, 'target_label': '7600.2.a.bf.1.1', 'target_level': 7600, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47271557
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717822912, 'target_is_minimal': False, 'target_label': '6080.2.a.z.1.2', 'target_level': 6080, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47271558
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991527872, 'target_is_minimal': False, 'target_label': '6080.2.a.bj.1.1', 'target_level': 6080, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47271559
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425151324, 'target_is_minimal': False, 'target_label': '3420.2.a.h.1.1', 'target_level': 3420, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47271560
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1749, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014535981991788, 'target_is_minimal': False, 'target_label': '1900.2.c.e.1749.2', 'target_level': 1900, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47271561
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1749, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014535981991788, 'target_is_minimal': False, 'target_label': '1900.2.c.e.1749.3', 'target_level': 1900, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47271562
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915667820, 'target_is_minimal': False, 'target_label': '1900.2.a.d.1.2', 'target_level': 1900, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47271563
{'conductor': 76, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539595934631408, 'source_is_minimal': False, 'source_label': '1520.2.a.l.1.2', 'source_level': 1520, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425155124, 'target_is_minimal': False, 'target_label': '7220.2.a.h.1.2', 'target_level': 7220, 'twist_class_label': '380.2.a.d.1.1', 'twist_class_level': 380, 'twisting_char_label': '76.75', 'twisting_conrey_index': 75, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2007100
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539595934631408, 'p': 2}
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id: 2007101
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 3}
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id: 2007102
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 49539595934631408, 'p': 5}
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id: 2007103
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 49539595934631408, 'p': 7}
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id: 2007104
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 11}
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id: 2007105
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 13}
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id: 2007106
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 17}
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id: 2007107
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 49539595934631408, 'p': 19}
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id: 2007108
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 23}
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id: 2007109
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 29}
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id: 2007110
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 31}
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id: 2007111
{'charpoly_factorization': [[[22, -10, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 37}
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id: 2007112
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 49539595934631408, 'p': 41}
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id: 2007113
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 43}
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id: 2007114
{'charpoly_factorization': [[[-12, 12, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 47}
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id: 2007115
{'charpoly_factorization': [[[78, 18, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 53}
-
id: 2007116
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 59}
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id: 2007117
{'charpoly_factorization': [[[-104, -4, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 61}
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id: 2007118
{'charpoly_factorization': [[[22, 10, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 67}
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id: 2007119
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 71}
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id: 2007120
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 73}
-
id: 2007121
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 79}
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id: 2007122
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 83}
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id: 2007123
{'charpoly_factorization': [[[132, 24, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 89}
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id: 2007124
{'charpoly_factorization': [[[-242, 2, 1], 1]], 'hecke_orbit_code': 49539595934631408, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '1520.2.a.l', 'level': 1520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 215883000
{'hecke_orbit_code': 49539595934631408, 'n': 1, 'trace_an': 2}
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id: 215883001
{'hecke_orbit_code': 49539595934631408, 'n': 2, 'trace_an': 0}
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id: 215883002
{'hecke_orbit_code': 49539595934631408, 'n': 3, 'trace_an': -2}
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id: 215883003
{'hecke_orbit_code': 49539595934631408, 'n': 4, 'trace_an': 0}
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id: 215883004
{'hecke_orbit_code': 49539595934631408, 'n': 5, 'trace_an': 2}
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id: 215883005
{'hecke_orbit_code': 49539595934631408, 'n': 6, 'trace_an': 0}
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id: 215883006
{'hecke_orbit_code': 49539595934631408, 'n': 7, 'trace_an': -4}
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id: 215883007
{'hecke_orbit_code': 49539595934631408, 'n': 8, 'trace_an': 0}
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id: 215883008
{'hecke_orbit_code': 49539595934631408, 'n': 9, 'trace_an': 2}
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id: 215883009
{'hecke_orbit_code': 49539595934631408, 'n': 10, 'trace_an': 0}
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id: 215883010
{'hecke_orbit_code': 49539595934631408, 'n': 11, 'trace_an': 0}
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id: 215883011
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id: 215883997
{'hecke_orbit_code': 49539595934631408, 'n': 998, 'trace_an': 0}
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id: 215883998
{'hecke_orbit_code': 49539595934631408, 'n': 999, 'trace_an': -40}
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id: 215883999
{'hecke_orbit_code': 49539595934631408, 'n': 1000, 'trace_an': 0}