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mf_newforms • Show schema
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{'Nk2': 16800, 'analytic_conductor': 33.53716884893776, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 2, 'char_parity': 1, 'char_values': [4200, 2, [3151, 2101, 2801, 1177, 3601], [2, 2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 1849, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [1, 1]], [13, [16, 0, 1]], [17, [4, 0, 1]], [19, [-4, 1]], [29, [-1, 1]], [31, [6, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526503095210088, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 16800, 'analytic_conductor': 33.53716884893776, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 2, 'char_parity': 1, 'char_values': [4200, 2, [3151, 2101, 2801, 1177, 3601], [2, 2, 2, 1, 2]], 'conrey_index': 1849, 'cusp_dim': 912, 'dim': 52, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 29, 31], 'hecke_orbit_code': 1305703616616, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], 'label': '4200.2.t', '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': 52, 'num_forms': 23, 'prim_orbit_index': 2, 'relative_dim': 52, 'sturm_bound': 1920, 'trace_bound': 31, 'trace_display': [0, 0, 0, 0], 'traces': [52, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 0, 0, -52, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 52, 0, 0, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -72, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 20, 0, 0, 0, 0, 0, 0, 0, 48, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 4, 0, 96, 0, 0, 0, 0, 0, 0, 0, -48, 0, -16, 0, 0, 0, 0, 0, 0, 0, -112, 0, 72, 0, 0, 0, 0, 0, 0, 0, -64, 0, 64, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, -24, 0, 0, 0, 0, 0, 0, 0, 8, 0, -128, 0, 0, 0, 0, 0, 0, 0, -64, 0, -8, 0, 0, 0, 0, 0, 0, 0, -72, 0, -128, 0, 0, 0, 0, 0, 0, 0, -16, 0, -24, 0, 0, 0, 0, 0, 0, 0, 92, 0, 64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 240, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 56, 0, 16, 0, 0, 0, 0, 0, 0, 0, -208, 0, 68, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 32, 0, 0, 0, 0, 0, 0, 0, 24, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -120, 0, -16, 0, 0, 0, 0, 0, 0, 0, 48, 0, -136, 0, 0, 0, 0, 0, 0, 0, 16, 0, 64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 52, 0, 0, 0, 0, 0, 0, 0, -248, 0, -80, 0, 0, 0, 0, 0, 0, 0, -24, 0, 152, 0, 0, 0, 0, 0, 0, 0, 80, 0, -128, 0, 0, 0, 0, 0, 0, 0, -240, 0, 112, 0, 0, 0, 0, 0, 0, 0, -16, 0, -80, 0, 0, 0, 0, 0, 0, 0, 72, 0, -80, 0, 0, 0, 0, 0, 0, 0, -120, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, -112, 0, 0, 0, 0, 0, 0, 0, 240, 0, -144, 0, 0, 0, 0, 0, 0, 0, 104, 0, 24, 0, 0, 0, 0, 0, 0, 0, 160, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, -144, 0, 0, 0, 0, 0, 0, 0, -16, 0, -184, 0, 0, 0, 0, 0, 0, 0, 16, 0, 144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, -288, 0, 0, 0, 0, 0, 0, 0, 16, 0, -120, 0, 0, 0, 0, 0, 0, 0, -160, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 128, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 136, 0, 0, 0, 0, 0, 0, 0, 256, 0, 128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 136, 0, 0, 0, 0, 0, 0, 0, 8, 0, 32, 0, 0, 0, 0, 0, 0, 0, 384, 0, -120, 0, 0, 0, 0, 0, 0, 0, -52, 0, 96, 0, 0, 0, 0, 0, 0, 0, -120, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 224, 0, 72, 0, 0, 0, 0, 0, 0, 0, 40, 0, 120, 0, 0, 0, 0, 0, 0, 0, -112, 0, -304, 0, 0, 0, 0, 0, 0, 0, -160, 0, -96, 0, 0, 0, 0, 0, 0, 0, 176, 0, 24, 0, 0, 0, 0, 0, 0, 0, 168, 0, -240, 0, 0, 0, 0, 0, 0, 0, -24, 0, -360, 0, 0, 0, 0, 0, 0, 0, 120, 0, -208, 0, 0, 0, 0, 0, 0, 0, 176, 0, 164, 0, 0, 0, 0, 0, 0, 0, 192, 0, -400, 0, 0, 0, 0, 0, 0, 0, 288, 0, -72, 0, 0, 0, 0, 0, 0, 0, -48, 0, -304, 0, 0, 0, 0, 0, 0, 0, 32, 0, -104, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 224, 0, 0, 0, 0, 0, 0, 0, -88, 0, -400, 0, 0, 0, 0, 0, 0, 0, 112, 0, -112, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, -472, 0, 0, 0, 0, 0, 0, 0, 320, 0, 112, 0, 0, 0, 0, 0, 0, 0, -64, 0, -164, 0, 0, 0, 0, 0, 0, 0, -208, 0, 144, 0, 0, 0, 0, 0, 0, 0, 240, 0, 72, 0, 0, 0, 0, 0, 0, 0, 352, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46405807
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526503095210088, 'source_is_minimal': False, 'source_label': '4200.2.t.h.1849.1', 'source_level': 4200, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526503095210088, 'target_is_minimal': False, 'target_label': '4200.2.t.h.1849.1', 'target_level': 4200, 'twist_class_label': '4200.2.a.b.1.1', 'twist_class_level': 4200, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46405808
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526503095210088, 'source_is_minimal': False, 'source_label': '4200.2.t.h.1849.1', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660929128, 'target_is_minimal': True, 'target_label': '4200.2.a.b.1.1', 'target_level': 4200, 'twist_class_label': '4200.2.a.b.1.1', 'twist_class_level': 4200, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46405809
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1849, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526503095210088, 'source_is_minimal': False, 'source_label': '4200.2.t.h.1849.1', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227303016, 'target_is_minimal': True, 'target_label': '4200.2.a.bd.1.1', 'target_level': 4200, 'twist_class_label': '4200.2.a.b.1.1', 'twist_class_level': 4200, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46405810
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526503095210088, 'source_is_minimal': False, 'source_label': '4200.2.t.h.1849.1', 'source_level': 4200, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526503095210088, 'target_is_minimal': False, 'target_label': '4200.2.t.h.1849.2', 'target_level': 4200, 'twist_class_label': '4200.2.a.b.1.1', 'twist_class_level': 4200, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46405811
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526503095210088, 'source_is_minimal': False, 'source_label': '4200.2.t.h.1849.1', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797785808, 'target_is_minimal': False, 'target_label': '8400.2.a.g.1.1', 'target_level': 8400, 'twist_class_label': '4200.2.a.b.1.1', 'twist_class_level': 4200, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46405812
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1849, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526503095210088, 'source_is_minimal': False, 'source_label': '4200.2.t.h.1849.1', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 306244774694756560, 'target_is_minimal': False, 'target_label': '8400.2.a.cq.1.1', 'target_level': 8400, 'twist_class_label': '4200.2.a.b.1.1', 'twist_class_level': 4200, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3487450
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 2}
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id: 3487451
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 3}
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id: 3487452
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 5}
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id: 3487453
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 7}
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id: 3487454
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 11}
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id: 3487455
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 13}
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id: 3487456
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 17}
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id: 3487457
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 19}
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id: 3487458
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 23}
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id: 3487459
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 29}
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id: 3487460
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 31}
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id: 3487461
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 37}
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id: 3487462
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 41}
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id: 3487463
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 43}
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id: 3487464
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 47}
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id: 3487465
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 53}
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id: 3487466
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 59}
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id: 3487467
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 61}
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id: 3487468
{'charpoly_factorization': [[[25, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 67}
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id: 3487469
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 71}
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id: 3487470
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 73}
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id: 3487471
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 79}
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id: 3487472
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 83}
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id: 3487473
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 31526503095210088, 'p': 89}
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id: 3487474
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 31526503095210088, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 8, 'label': '4200.2.t.h', 'level': 4200, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50226643
{'hecke_orbit_code': 31526503095210088, 'n': 1, 'trace_an': 2}
-
id: 50226644
{'hecke_orbit_code': 31526503095210088, 'n': 2, 'trace_an': 0}
-
id: 50226645
{'hecke_orbit_code': 31526503095210088, 'n': 3, 'trace_an': 0}
-
id: 50226646
{'hecke_orbit_code': 31526503095210088, 'n': 4, 'trace_an': 0}
-
id: 50226647
{'hecke_orbit_code': 31526503095210088, 'n': 5, 'trace_an': 0}
-
id: 50226648
{'hecke_orbit_code': 31526503095210088, 'n': 6, 'trace_an': 0}
-
id: 50226649
{'hecke_orbit_code': 31526503095210088, 'n': 7, 'trace_an': 0}
-
id: 50226650
{'hecke_orbit_code': 31526503095210088, 'n': 8, 'trace_an': 0}
-
id: 50226651
{'hecke_orbit_code': 31526503095210088, 'n': 9, 'trace_an': -2}
-
id: 50226652
{'hecke_orbit_code': 31526503095210088, 'n': 10, 'trace_an': 0}
-
id: 50226653
{'hecke_orbit_code': 31526503095210088, 'n': 11, 'trace_an': -2}
-
id: 50226654
{'hecke_orbit_code': 31526503095210088, 'n': 12, 'trace_an': 0}
-
id: 50226655
{'hecke_orbit_code': 31526503095210088, 'n': 13, 'trace_an': 0}
-
id: 50226656
{'hecke_orbit_code': 31526503095210088, 'n': 14, 'trace_an': 0}
-
id: 50226657
{'hecke_orbit_code': 31526503095210088, 'n': 15, 'trace_an': 0}
-
id: 50226658
{'hecke_orbit_code': 31526503095210088, 'n': 16, 'trace_an': 0}
-
id: 50226659
{'hecke_orbit_code': 31526503095210088, 'n': 17, 'trace_an': 0}
-
id: 50226660
{'hecke_orbit_code': 31526503095210088, 'n': 18, 'trace_an': 0}
-
id: 50226661
{'hecke_orbit_code': 31526503095210088, 'n': 19, 'trace_an': 8}
-
id: 50226662
{'hecke_orbit_code': 31526503095210088, 'n': 20, 'trace_an': 0}
-
id: 50226663
{'hecke_orbit_code': 31526503095210088, 'n': 21, 'trace_an': 2}
-
id: 50226664
{'hecke_orbit_code': 31526503095210088, 'n': 22, 'trace_an': 0}
-
id: 50226665
{'hecke_orbit_code': 31526503095210088, 'n': 23, 'trace_an': 0}
-
id: 50226666
{'hecke_orbit_code': 31526503095210088, 'n': 24, 'trace_an': 0}
-
id: 50226667
{'hecke_orbit_code': 31526503095210088, 'n': 25, 'trace_an': 0}
-
id: 50226668
{'hecke_orbit_code': 31526503095210088, 'n': 26, 'trace_an': 0}
-
id: 50226669
{'hecke_orbit_code': 31526503095210088, 'n': 27, 'trace_an': 0}
-
id: 50226670
{'hecke_orbit_code': 31526503095210088, 'n': 28, 'trace_an': 0}
-
id: 50226671
{'hecke_orbit_code': 31526503095210088, 'n': 29, 'trace_an': 2}
-
id: 50226672
{'hecke_orbit_code': 31526503095210088, 'n': 30, 'trace_an': 0}
-
id: 50226673
{'hecke_orbit_code': 31526503095210088, 'n': 31, 'trace_an': -12}
-
id: 50226674
{'hecke_orbit_code': 31526503095210088, 'n': 32, 'trace_an': 0}
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