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mf_newforms • Show schema
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{'Nk2': 5200, 'analytic_conductor': 10.38055226276645, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 28, 'char_orbit_label': 'bb', 'char_order': 6, 'char_parity': 1, 'char_values': [1300, 6, [651, 677, 301], [6, 3, 2]], 'cm_discs': [], 'conrey_index': 549, 'conrey_indexes': [549, 1049], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, -1, 0, 1]], [7, [1, 0, -1, 0, 1]], [19, [49, 7, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1855459427604, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 14, 1, 6, 0], [1, 1, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 5200, 'analytic_conductor': 10.38055226276645, 'char_conductor': 65, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 28, 'char_orbit_label': 'bb', 'char_order': 6, 'char_parity': 1, 'char_values': [1300, 6, [651, 677, 301], [6, 3, 2]], 'conrey_index': 549, 'cusp_dim': 384, 'dim': 44, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 19], 'hecke_orbit_code': 1855459427604, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 20], 'label': '1300.2.bb', 'level': 1300, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 456, 'mf_new_dim': 44, 'num_forms': 7, 'prim_orbit_index': 14, 'relative_dim': 22, 'sturm_bound': 420, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [44, 0, 0, 0, 0, 0, 0, 0, 22, 0, -12, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 8, 0, 0, 0, 0, 0, 0, 0, -2, 0, 16, 0, 0, 0, 0, 0, 0, 0, 44, 0, 92, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 20882105
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 549, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1855459427604, 'target_is_minimal': False, 'target_label': '1300.2.bb.a.549.1', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 20882106
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 601, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298851604, 'target_is_minimal': False, 'target_label': '1300.2.i.e.601.1', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 20882107
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 81, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739076, 'target_is_minimal': True, 'target_label': '260.2.i.b.81.1', 'target_level': 260, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 20882108
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 549, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1855459427604, 'target_is_minimal': False, 'target_label': '1300.2.bb.a.549.2', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 20882109
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1855459427604, 'target_is_minimal': False, 'target_label': '1300.2.bb.a.1049.2', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 20882110
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 2161, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172555044, 'target_is_minimal': False, 'target_label': '2340.2.q.b.2161.1', 'target_level': 2340, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 20882111
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 81, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533496191517712, 'target_is_minimal': False, 'target_label': '1040.2.q.j.81.1', 'target_level': 1040, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 20882112
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425151284, 'target_is_minimal': False, 'target_label': '3380.2.a.h.1.1', 'target_level': 3380, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 20882113
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1855459427604, 'target_is_minimal': False, 'target_label': '1300.2.bb.a.1049.1', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 20882114
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 1101, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298851604, 'target_is_minimal': False, 'target_label': '1300.2.i.e.1101.1', 'target_level': 1300, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 20882115
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797780788, 'target_is_minimal': False, 'target_label': '3380.2.a.g.1.1', 'target_level': 3380, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 20882116
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 3041, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140423476, 'target_is_minimal': False, 'target_label': '3380.2.f.e.3041.1', 'target_level': 3380, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 20882117
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 61, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739076, 'target_is_minimal': True, 'target_label': '260.2.i.b.61.1', 'target_level': 260, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 20882118
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 3041, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742140423476, 'target_is_minimal': False, 'target_label': '3380.2.f.e.3041.2', 'target_level': 3380, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '65.63', 'twisting_conrey_index': 63, 'weight': 2}
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id: 20882119
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 1621, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172555044, 'target_is_minimal': False, 'target_label': '2340.2.q.b.1621.1', 'target_level': 2340, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '195.113', 'twisting_conrey_index': 113, 'weight': 2}
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id: 20882120
{'conductor': 260, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 549, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1855459427604, 'source_is_minimal': False, 'source_label': '1300.2.bb.a.549.1', 'source_level': 1300, 'target_conrey_index': 321, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40533496191517712, 'target_is_minimal': False, 'target_label': '1040.2.q.j.321.1', 'target_level': 1040, 'twist_class_label': '260.2.i.b.61.1', 'twist_class_level': 260, 'twisting_char_label': '260.243', 'twisting_conrey_index': 243, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1844225
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1855459427604, 'p': 2}
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id: 1844226
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 1855459427604, 'p': 3}
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id: 1844227
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1855459427604, 'p': 5}
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id: 1844228
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 1855459427604, 'p': 7}
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id: 1844229
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 11}
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id: 1844230
{'charpoly_factorization': [[[169, 0, -22, 0, 1], 1]], 'hecke_orbit_code': 1855459427604, 'p': 13}
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id: 1844231
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 1855459427604, 'p': 17}
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id: 1844232
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 19}
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id: 1844233
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 1855459427604, 'p': 23}
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id: 1844234
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 29}
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id: 1844235
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 1855459427604, 'p': 31}
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id: 1844236
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 1855459427604, 'p': 37}
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id: 1844237
{'charpoly_factorization': [[[81, -9, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 41}
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id: 1844238
{'charpoly_factorization': [[[14641, 0, -121, 0, 1], 1]], 'hecke_orbit_code': 1855459427604, 'p': 43}
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id: 1844239
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1855459427604, 'p': 47}
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id: 1844240
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 53}
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id: 1844241
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 59}
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id: 1844242
{'charpoly_factorization': [[[121, 11, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 61}
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id: 1844243
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 1855459427604, 'p': 67}
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id: 1844244
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 71}
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id: 1844245
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 73}
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id: 1844246
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 1855459427604, 'p': 79}
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id: 1844247
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 83}
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id: 1844248
{'charpoly_factorization': [[[225, -15, 1], 2]], 'hecke_orbit_code': 1855459427604, 'p': 89}
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id: 1844249
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 1]], 'hecke_orbit_code': 1855459427604, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 28, 'hecke_orbit': 1, 'label': '1300.2.bb.a', 'level': 1300, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 53427000
{'hecke_orbit_code': 1855459427604, 'n': 1, 'trace_an': 4}
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id: 53427001
{'hecke_orbit_code': 1855459427604, 'n': 2, 'trace_an': 0}
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id: 53427002
{'hecke_orbit_code': 1855459427604, 'n': 3, 'trace_an': 0}
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id: 53427003
{'hecke_orbit_code': 1855459427604, 'n': 4, 'trace_an': 0}
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id: 53427004
{'hecke_orbit_code': 1855459427604, 'n': 5, 'trace_an': 0}
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id: 53427005
{'hecke_orbit_code': 1855459427604, 'n': 6, 'trace_an': 0}
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id: 53427006
{'hecke_orbit_code': 1855459427604, 'n': 7, 'trace_an': 0}
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id: 53427007
{'hecke_orbit_code': 1855459427604, 'n': 8, 'trace_an': 0}
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id: 53427008
{'hecke_orbit_code': 1855459427604, 'n': 9, 'trace_an': -4}
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id: 53427009
{'hecke_orbit_code': 1855459427604, 'n': 10, 'trace_an': 0}
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id: 53427010
{'hecke_orbit_code': 1855459427604, 'n': 11, 'trace_an': -6}
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id: 53427011
{'hecke_orbit_code': 1855459427604, 'n': 12, 'trace_an': 0}
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id: 53427012
{'hecke_orbit_code': 1855459427604, 'n': 13, 'trace_an': 0}
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id: 53427013
{'hecke_orbit_code': 1855459427604, 'n': 14, 'trace_an': 0}
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id: 53427014
{'hecke_orbit_code': 1855459427604, 'n': 15, 'trace_an': 0}
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id: 53427015
{'hecke_orbit_code': 1855459427604, 'n': 16, 'trace_an': 0}
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id: 53427016
{'hecke_orbit_code': 1855459427604, 'n': 17, 'trace_an': 0}
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id: 53427017
{'hecke_orbit_code': 1855459427604, 'n': 18, 'trace_an': 0}
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id: 53427018
{'hecke_orbit_code': 1855459427604, 'n': 19, 'trace_an': -14}
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id: 53427019
{'hecke_orbit_code': 1855459427604, 'n': 20, 'trace_an': 0}
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id: 53427020
{'hecke_orbit_code': 1855459427604, 'n': 21, 'trace_an': -4}
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id: 53427021
{'hecke_orbit_code': 1855459427604, 'n': 22, 'trace_an': 0}
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id: 53427022
{'hecke_orbit_code': 1855459427604, 'n': 23, 'trace_an': 0}
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id: 53427023
{'hecke_orbit_code': 1855459427604, 'n': 24, 'trace_an': 0}
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id: 53427024
{'hecke_orbit_code': 1855459427604, 'n': 25, 'trace_an': 0}
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id: 53427025
{'hecke_orbit_code': 1855459427604, 'n': 26, 'trace_an': 0}
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id: 53427026
{'hecke_orbit_code': 1855459427604, 'n': 27, 'trace_an': 0}
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id: 53427027
{'hecke_orbit_code': 1855459427604, 'n': 28, 'trace_an': 0}
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id: 53427028
{'hecke_orbit_code': 1855459427604, 'n': 29, 'trace_an': 6}
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id: 53427029
{'hecke_orbit_code': 1855459427604, 'n': 30, 'trace_an': 0}
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id: 53427030
{'hecke_orbit_code': 1855459427604, 'n': 31, 'trace_an': -16}
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id: 53427031
{'hecke_orbit_code': 1855459427604, 'n': 32, 'trace_an': 0}
-
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