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{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [11, -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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [13, [-18, 0, 1]], [17, [-8, 0, 1]], [19, [-18, 0, 1]], [23, [6, 1]], [29, [-4, 1]]], 'hecke_orbit': 67, 'hecke_orbit_code': 297237575440016870, 'hecke_ring_generator_nbound': 17, '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, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9702.2.a.co', 'level': 9702, '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, 7, 11], 'level_radical': 462, 'minimal_twist': '1078.2.a.v', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-q^{8}+q^{11}+3\\beta q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9702.2.a', 'trace_display': [-2, 0, 0, 0], 'trace_hash': 363988881328827639, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [5, 9, 11, 8, 13, 13, 13, 13, 9, 5, 8, 11, 11, 15, 14, 11], 'Nk2': 38808, 'analytic_conductor': 77.47086004104622, '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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1953, 'dim': 169, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33564134, '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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '9702.2.a', 'level': 9702, '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, 7, 11], 'level_radical': 462, 'mf_dim': 2080, 'mf_new_dim': 169, 'num_forms': 107, 'plus_dim': 74, 'prim_orbit_index': 1, 'relative_dim': 169, 'sturm_bound': 4032, 'trace_bound': 31, 'trace_display': [-1, 0, -2, 0], 'traces': [169, -1, 0, 169, -2, 0, 0, -1, 0, -2, 1, 0, -2, 0, 0, 169, -18, 0, -12, -2, 0, -1, -4, 0, 159, -14, 0, 0, 2, 0, -8, -1, 0, -6, 0, 0, 30, -4, 0, -2, 6, 0, 52, 1, 0, 0, 4, 0, 0, -39, 0, -2, -38, 0, -6, 0, 0, -50, 16, 0, -2, -8, 0, 169, -52, 0, 44, -18, 0, 0, -20, 0, 10, -46, 0, -12, 0, 0, 80, -2, 0, -14, -20, 0, -76, 8, 0, -1, -6, 0, 0, -4, 0, 8, 32, 0, -46, 0, 0, 159, 34, 0, 0, -14, 0, -2, -60, 0, 62, -6, 0, 0, -6, 0, -32, 2, 0, 20, 0, 0, 169, 26, 0, -8, -108, 0, 48, -1, 0, -20, 20, 0, 0, 4, 0, -6, 50, 0, 36, 0, 0, 56, 10, 0, 68, -10, 0, 30, 2, 0, 112, -4, 0, 0, 112, 0, 10, -8, 0, -2, 0, 0, 140, 6, 0, 48, 48, 0, 239, -36, 0, 52, -14, 0, 0, 1, 0, 10, 84, 0, 26, 0, 0, 0, 4, 0, 2, 4, 0, 32, 164, 0, 66, -34, 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-8, 0, -40, 0, 0, 233, -212, 0, 66, 36, 0, 304, -1, 0, -204, 32, 0, 0, 64, 0, -2, -86, 0, 54, 0, 0, 12, 12, 0, 20, 20, 0, 224, -8, 0, 408, -8, 0, 0, 360, 0, 54, -44, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49122778
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 297237575440016870, 'target_is_minimal': False, 'target_label': '9702.2.a.co.1.1', 'target_level': 9702, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49122779
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208335926, 'target_is_minimal': True, 'target_label': '1078.2.a.v.1.1', 'target_level': 1078, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49122780
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 297237575440016870, 'target_is_minimal': False, 'target_label': '9702.2.a.co.1.2', 'target_level': 9702, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49122781
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 229683581029458352, 'target_is_minimal': False, 'target_label': '8624.2.a.bz.1.2', 'target_level': 8624, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49122782
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649398, 'target_is_minimal': False, 'target_label': '1078.2.e.o.67.2', 'target_level': 1078, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49122783
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649398, 'target_is_minimal': False, 'target_label': '1078.2.e.o.67.1', 'target_level': 1078, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49122784
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050669694649398, 'target_is_minimal': False, 'target_label': '1078.2.e.o.177.2', 'target_level': 1078, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49122785
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050669694649398, 'target_is_minimal': False, 'target_label': '1078.2.e.o.177.1', 'target_level': 1078, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 49122786
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208335926, 'target_is_minimal': True, 'target_label': '1078.2.a.v.1.2', 'target_level': 1078, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 49122787
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 297237575440016870, 'source_is_minimal': False, 'source_label': '9702.2.a.co.1.1', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 229683581029458352, 'target_is_minimal': False, 'target_label': '8624.2.a.bz.1.1', 'target_level': 8624, 'twist_class_label': '1078.2.a.v.1.1', 'twist_class_level': 1078, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5099775
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 2}
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id: 5099776
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 3}
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id: 5099777
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 5}
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id: 5099778
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 7}
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id: 5099779
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 11}
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id: 5099780
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 13}
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id: 5099781
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 17}
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id: 5099782
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 19}
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id: 5099783
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 23}
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id: 5099784
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 29}
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id: 5099785
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 31}
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id: 5099786
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 37}
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id: 5099787
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 41}
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id: 5099788
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 43}
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id: 5099789
{'charpoly_factorization': [[[-162, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 47}
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id: 5099790
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 53}
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id: 5099791
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 59}
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id: 5099792
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 61}
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id: 5099793
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 67}
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id: 5099794
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 71}
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id: 5099795
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 73}
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id: 5099796
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 297237575440016870, 'p': 79}
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id: 5099797
{'charpoly_factorization': [[[-162, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 83}
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id: 5099798
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 89}
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id: 5099799
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 297237575440016870, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 67, 'label': '9702.2.a.co', 'level': 9702, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72284869
{'hecke_orbit_code': 297237575440016870, 'n': 1, 'trace_an': 2}
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id: 72284870
{'hecke_orbit_code': 297237575440016870, 'n': 2, 'trace_an': -2}
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id: 72284871
{'hecke_orbit_code': 297237575440016870, 'n': 3, 'trace_an': 0}
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id: 72284872
{'hecke_orbit_code': 297237575440016870, 'n': 4, 'trace_an': 2}
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id: 72284873
{'hecke_orbit_code': 297237575440016870, 'n': 5, 'trace_an': 0}
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id: 72284874
{'hecke_orbit_code': 297237575440016870, 'n': 6, 'trace_an': 0}
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id: 72284875
{'hecke_orbit_code': 297237575440016870, 'n': 7, 'trace_an': 0}
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id: 72284876
{'hecke_orbit_code': 297237575440016870, 'n': 8, 'trace_an': -2}
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id: 72284877
{'hecke_orbit_code': 297237575440016870, 'n': 9, 'trace_an': 0}
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id: 72284878
{'hecke_orbit_code': 297237575440016870, 'n': 10, 'trace_an': 0}
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id: 72284879
{'hecke_orbit_code': 297237575440016870, 'n': 11, 'trace_an': 2}
-
id: 72284880
{'hecke_orbit_code': 297237575440016870, 'n': 12, 'trace_an': 0}
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id: 72284881
{'hecke_orbit_code': 297237575440016870, 'n': 13, 'trace_an': 0}
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id: 72284882
{'hecke_orbit_code': 297237575440016870, 'n': 14, 'trace_an': 0}
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id: 72284883
{'hecke_orbit_code': 297237575440016870, 'n': 15, 'trace_an': 0}
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id: 72284884
{'hecke_orbit_code': 297237575440016870, 'n': 16, 'trace_an': 2}
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