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mf_newforms • Show schema
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{'Nk2': 17600, 'analytic_conductor': 35.13417688936337, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [11, -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': [4400, 1, [2751, 3301, 177, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 21, 'field_disc_factorization': [[3, 1], [7, 1]], 'field_poly': [-5, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-5, -1, 1]], [7, [1, -5, 1]], [13, [1, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892601648, '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': '4400.2.a.bu', 'level': 4400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '1100.2.a.g', 'nf_label': '2.2.21.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}+(3-\\beta )q^{7}+(2+\\beta )q^{9}+q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4400.2.a', 'trace_display': [0, 1, 0, 5], 'trace_hash': 89722651167456658, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.149', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.423', 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, -1], [11, 1]], 15, 6], [[[2, 1], [5, 1], [11, -1]], 13, 8], [[[2, -1], [5, -1], [11, -1]], 13, 8], [[[2, 1], [5, -1], [11, -1]], 9, 6], [[[2, -1], [5, 1], [11, 1]], 11, 8], [[[2, -1], [5, -1], [11, 1]], 13, 8], [[[2, 1], [5, 1], [11, 1]], 10, 5], [[[2, -1], [5, 1], [11, -1]], 11, 8]], 'ALdims': [10, 13, 15, 9, 11, 11, 13, 13], 'Nk2': 17600, 'analytic_conductor': 35.13417688936337, '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': [4400, 1, [2751, 3301, 177, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 685, 'dim': 95, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33558832, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '4400.2.a', 'level': 4400, 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mf_twists_cc • Show schema
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id: 49007899
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 207165582892601648, 'target_is_minimal': False, 'target_label': '4400.2.a.bu.1.2', 'target_level': 4400, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49007900
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778508, 'target_is_minimal': True, 'target_label': '1100.2.a.g.1.1', 'target_level': 1100, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49007901
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064862045704496, 'target_is_minimal': False, 'target_label': '4400.2.b.s.4049.1', 'target_level': 4400, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49007902
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81064862045704496, 'target_is_minimal': False, 'target_label': '4400.2.b.s.4049.4', 'target_level': 4400, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49007903
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364155696, 'target_is_minimal': False, 'target_label': '4400.2.a.bi.1.1', 'target_level': 4400, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49007904
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736790700, 'target_is_minimal': False, 'target_label': '9900.2.a.bh.1.2', 'target_level': 9900, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49007905
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 749, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510867635143756, 'target_is_minimal': False, 'target_label': '1100.2.b.d.749.1', 'target_level': 1100, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49007906
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 749, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510867635143756, 'target_is_minimal': False, 'target_label': '1100.2.b.d.749.4', 'target_level': 1100, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 49007907
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425149004, 'target_is_minimal': True, 'target_label': '1100.2.a.h.1.2', 'target_level': 1100, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49007908
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 5149, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582928902039212, 'target_is_minimal': False, 'target_label': '9900.2.c.x.5149.3', 'target_level': 9900, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 49007909
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 5149, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582928902039212, 'target_is_minimal': False, 'target_label': '9900.2.c.x.5149.2', 'target_level': 9900, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 49007910
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892601648, 'source_is_minimal': False, 'source_label': '4400.2.a.bu.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 229683581029459628, 'target_is_minimal': False, 'target_label': '9900.2.a.bz.1.1', 'target_level': 9900, 'twist_class_label': '1100.2.a.g.1.1', 'twist_class_level': 1100, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3588725
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 207165582892601648, 'p': 2}
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id: 3588726
{'charpoly_factorization': [[[-5, -1, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 3}
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id: 3588727
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 207165582892601648, 'p': 5}
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id: 3588728
{'charpoly_factorization': [[[1, -5, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 7}
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id: 3588729
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 207165582892601648, 'p': 11}
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id: 3588730
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 207165582892601648, 'p': 13}
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id: 3588731
{'charpoly_factorization': [[[-3, 3, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 17}
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id: 3588732
{'charpoly_factorization': [[[-17, 4, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 19}
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id: 3588733
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 23}
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id: 3588734
{'charpoly_factorization': [[[15, -9, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 29}
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id: 3588735
{'charpoly_factorization': [[[-5, -8, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 31}
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id: 3588736
{'charpoly_factorization': [[[-17, -4, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 37}
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id: 3588737
{'charpoly_factorization': [[[15, 12, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 41}
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id: 3588738
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 207165582892601648, 'p': 43}
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id: 3588739
{'charpoly_factorization': [[[15, -12, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 47}
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id: 3588740
{'charpoly_factorization': [[[-27, -9, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 53}
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id: 3588741
{'charpoly_factorization': [[[15, -12, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 59}
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id: 3588742
{'charpoly_factorization': [[[37, -13, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 61}
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id: 3588743
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 207165582892601648, 'p': 67}
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id: 3588744
{'charpoly_factorization': [[[-180, 6, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 71}
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id: 3588745
{'charpoly_factorization': [[[25, 11, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 73}
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id: 3588746
{'charpoly_factorization': [[[-257, 1, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 79}
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id: 3588747
{'charpoly_factorization': [[[-129, 3, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 83}
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id: 3588748
{'charpoly_factorization': [[[-3, -3, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 89}
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id: 3588749
{'charpoly_factorization': [[[67, 17, 1], 1]], 'hecke_orbit_code': 207165582892601648, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '4400.2.a.bu', 'level': 4400, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276145000
{'hecke_orbit_code': 207165582892601648, 'n': 1, 'trace_an': 2}
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id: 276145001
{'hecke_orbit_code': 207165582892601648, 'n': 2, 'trace_an': 0}
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id: 276145002
{'hecke_orbit_code': 207165582892601648, 'n': 3, 'trace_an': 1}
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id: 276145003
{'hecke_orbit_code': 207165582892601648, 'n': 4, 'trace_an': 0}
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id: 276145004
{'hecke_orbit_code': 207165582892601648, 'n': 5, 'trace_an': 0}
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id: 276145005
{'hecke_orbit_code': 207165582892601648, 'n': 6, 'trace_an': 0}
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id: 276145006
{'hecke_orbit_code': 207165582892601648, 'n': 7, 'trace_an': 5}
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id: 276145007
{'hecke_orbit_code': 207165582892601648, 'n': 8, 'trace_an': 0}
-
id: 276145008
{'hecke_orbit_code': 207165582892601648, 'n': 9, 'trace_an': 5}
-
id: 276145009
{'hecke_orbit_code': 207165582892601648, 'n': 10, 'trace_an': 0}
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id: 276145010
{'hecke_orbit_code': 207165582892601648, 'n': 11, 'trace_an': 2}
-
id: 276145011
{'hecke_orbit_code': 207165582892601648, 'n': 12, 'trace_an': 0}
-
id: 276145012
{'hecke_orbit_code': 207165582892601648, 'n': 13, 'trace_an': -2}
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id: 276145013
{'hecke_orbit_code': 207165582892601648, 'n': 14, 'trace_an': 0}
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id: 276145014
{'hecke_orbit_code': 207165582892601648, 'n': 15, 'trace_an': 0}
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