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mf_newforms • Show schema
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{'Nk2': 30780, 'analytic_conductor': 93.18825041122155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 95, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [3420, 2, [1711, 1901, 2737, 3061], [2, 2, 1, 1]], 'cm_discs': [], 'conrey_index': 2089, 'conrey_indexes': [2089], 'dim': 12, 'field_disc': 516575518548253227417600, 'field_disc_factorization': [[2, 16], [3, 2], [5, 2], [13681, 4]], 'field_poly': [687241, 0, -71664, 0, 36676, 0, -270, 0, 44, 0, 20, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [9408, 0, 2393, 0, 94, 0, 1]], [11, [44, -38, -6, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014879596154204, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 1572864, 'hecke_ring_index_factorization': [[2, 19], [3, 1]], 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 30780, 'analytic_conductor': 93.18825041122155, 'char_conductor': 95, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [3420, 2, [1711, 1901, 2737, 3061], [2, 2, 1, 1]], 'conrey_index': 2089, 'cusp_dim': 1416, 'dim': 100, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 481086672220, 'hecke_orbit_dims': [4, 4, 4, 8, 12, 32, 36], 'label': '3420.3.h', 'level': 3420, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 1464, 'mf_new_dim': 100, 'num_forms': 7, 'prim_orbit_index': 4, 'relative_dim': 100, 'sturm_bound': 2160, 'trace_bound': 5, 'trace_display': [0, 0, 1, 0], 'traces': [100, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -802, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
Hide schema
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id: 44396829
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 2089, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 18014879596154204, 'target_is_minimal': False, 'target_label': '3420.3.h.e.2089.10', 'target_level': 3420, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 44396830
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 189, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007611621933436, 'target_is_minimal': True, 'target_label': '380.3.g.c.189.6', 'target_level': 380, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 44396831
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 2089, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 18014879596154204, 'target_is_minimal': False, 'target_label': '3420.3.h.e.2089.11', 'target_level': 3420, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 44396832
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 1101, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18014673437722476, 'target_is_minimal': False, 'target_label': '1900.3.e.e.1101.8', 'target_level': 1900, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 44396833
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 1101, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014673437722476, 'target_is_minimal': False, 'target_label': '1900.3.e.e.1101.5', 'target_level': 1900, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 3}
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id: 44396834
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 189, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007611621933436, 'target_is_minimal': True, 'target_label': '380.3.g.c.189.7', 'target_level': 380, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 44396835
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 2089, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 18014879596154204, 'target_is_minimal': False, 'target_label': '3420.3.h.e.2089.9', 'target_level': 3420, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 3}
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id: 44396836
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 189, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007611621933436, 'target_is_minimal': True, 'target_label': '380.3.g.c.189.8', 'target_level': 380, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 3}
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id: 44396837
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 2089, 'target_dim': 12, 'target_embedding_index': 12, 'target_hecke_orbit_code': 18014879596154204, 'target_is_minimal': False, 'target_label': '3420.3.h.e.2089.12', 'target_level': 3420, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 3}
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id: 44396838
{'conductor': 285, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 1101, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18014673437722476, 'target_is_minimal': False, 'target_label': '1900.3.e.e.1101.7', 'target_level': 1900, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '285.113', 'twisting_conrey_index': 113, 'weight': 3}
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id: 44396839
{'conductor': 285, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 1101, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014673437722476, 'target_is_minimal': False, 'target_label': '1900.3.e.e.1101.6', 'target_level': 1900, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '285.227', 'twisting_conrey_index': 227, 'weight': 3}
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id: 44396840
{'conductor': 285, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2089, 'source_dim': 12, 'source_embedding_index': 10, 'source_hecke_orbit_code': 18014879596154204, 'source_is_minimal': False, 'source_label': '3420.3.h.e.2089.10', 'source_level': 3420, 'target_conrey_index': 189, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007611621933436, 'target_is_minimal': True, 'target_label': '380.3.g.c.189.5', 'target_level': 380, 'twist_class_label': '380.3.g.c.189.5', 'twist_class_level': 380, 'twisting_char_label': '285.284', 'twisting_conrey_index': 284, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3171025
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 18014879596154204, 'p': 2}
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id: 3171026
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 18014879596154204, 'p': 3}
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id: 3171027
{'charpoly_factorization': [[[15625, 3750, 925, 160, 37, 6, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 5}
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id: 3171028
{'charpoly_factorization': [[[9408, 0, 2393, 0, 94, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 7}
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id: 3171029
{'charpoly_factorization': [[[44, -38, -6, 1], 4]], 'hecke_orbit_code': 18014879596154204, 'p': 11}
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id: 3171030
{'charpoly_factorization': [[[-7200000, 0, 127153, 0, -682, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 13}
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id: 3171031
{'charpoly_factorization': [[[12288, 0, 10793, 0, 314, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 17}
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id: 3171032
{'charpoly_factorization': [[[47045881, -4430914, 261003, -12084, 723, -34, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 19}
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id: 3171033
{'charpoly_factorization': [[[147000000, 0, 1495625, 0, 2350, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 23}
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id: 3171034
{'charpoly_factorization': [[[51671040, 0, 1274297, 0, 2306, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 29}
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id: 3171035
{'charpoly_factorization': [[[1345781760, 0, 4670948, 0, 4652, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 31}
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id: 3171036
{'charpoly_factorization': [[[-5202247680, 0, 9192448, 0, -5312, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 37}
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id: 3171037
{'charpoly_factorization': [[[318504960, 0, 3194532, 0, 7140, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 41}
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id: 3171038
{'charpoly_factorization': [[[95158272, 0, 12661412, 0, 7540, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 43}
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id: 3171039
{'charpoly_factorization': [[[75606592512, 0, 60919184, 0, 14056, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 47}
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id: 3171040
{'charpoly_factorization': [[[-136869120, 0, 2302273, 0, -3130, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 53}
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id: 3171041
{'charpoly_factorization': [[[7228354560, 0, 82566857, 0, 18086, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 59}
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id: 3171042
{'charpoly_factorization': [[[18964, 5050, 150, 1], 4]], 'hecke_orbit_code': 18014879596154204, 'p': 61}
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id: 3171043
{'charpoly_factorization': [[[-301871934720, 0, 147525697, 0, -22430, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 67}
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id: 3171044
{'charpoly_factorization': [[[23313776640, 0, 31173668, 0, 11980, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 71}
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id: 3171045
{'charpoly_factorization': [[[4401589248, 0, 24107193, 0, 12714, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 73}
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id: 3171046
{'charpoly_factorization': [[[4282122240, 0, 115386512, 0, 26440, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 79}
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id: 3171047
{'charpoly_factorization': [[[216760320000, 0, 120002816, 0, 19616, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 83}
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id: 3171048
{'charpoly_factorization': [[[187730165760, 0, 107125028, 0, 18508, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 89}
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id: 3171049
{'charpoly_factorization': [[[-318730752000, 0, 150753808, 0, -22008, 0, 1], 2]], 'hecke_orbit_code': 18014879596154204, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 5, 'label': '3420.3.h.e', 'level': 3420, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 159588000
{'hecke_orbit_code': 18014879596154204, 'n': 1, 'trace_an': 12}
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id: 159588001
{'hecke_orbit_code': 18014879596154204, 'n': 2, 'trace_an': 0}
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id: 159588002
{'hecke_orbit_code': 18014879596154204, 'n': 3, 'trace_an': 0}
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id: 159588003
{'hecke_orbit_code': 18014879596154204, 'n': 4, 'trace_an': 0}
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id: 159588004
{'hecke_orbit_code': 18014879596154204, 'n': 5, 'trace_an': -12}
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id: 159588005
{'hecke_orbit_code': 18014879596154204, 'n': 6, 'trace_an': 0}
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id: 159588006
{'hecke_orbit_code': 18014879596154204, 'n': 7, 'trace_an': 0}
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id: 159588007
{'hecke_orbit_code': 18014879596154204, 'n': 8, 'trace_an': 0}
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id: 159588008
{'hecke_orbit_code': 18014879596154204, 'n': 9, 'trace_an': 0}
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id: 159588009
{'hecke_orbit_code': 18014879596154204, 'n': 10, 'trace_an': 0}
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id: 159588010
{'hecke_orbit_code': 18014879596154204, 'n': 11, 'trace_an': 24}
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id: 159588011
{'hecke_orbit_code': 18014879596154204, 'n': 12, 'trace_an': 0}
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id: 159588012
{'hecke_orbit_code': 18014879596154204, 'n': 13, 'trace_an': 0}
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{'hecke_orbit_code': 18014879596154204, 'n': 999, 'trace_an': 0}
-
id: 159588999
{'hecke_orbit_code': 18014879596154204, 'n': 1000, 'trace_an': 0}