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mf_newforms • Show schema
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{'Nk2': 616, 'analytic_conductor': 1.229696191127718, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [154, 3, [45, 57], [1, 3]], 'cm_discs': [], 'conrey_index': 23, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 1, 1]], [13, [1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202522, 'hecke_ring_generator_nbound': 2, '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, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '154.2.e.c', 'level': 154, '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': True, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '154.2.e.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '154.2.e', 'trace_display': [1, -1, 0, -1], 'trace_hash': 1268366103939188837, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.820', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.093', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.712', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.097', 'prec': 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mf_hecke_cc • Show schema
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2}
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mf_newspaces • Show schema
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{'Nk2': 616, 'analytic_conductor': 1.229696191127718, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [154, 3, [45, 57], [1, 3]], 'conrey_index': 23, 'cusp_dim': 40, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13], 'hecke_orbit_code': 274911461530, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4], 'label': '154.2.e', 'level': 154, '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': True, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 56, 'mf_new_dim': 16, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 48, 'trace_bound': 3, 'trace_display': [0, 0, 4, -8], 'traces': [16, 0, 0, -8, 4, 8, -8, 0, -16, 0, 0, 0, 8, -8, 8, -8, -12, 8, 0, -8, 16, 0, 16, -4, -8, 12, -24, 4, 8, -8, 4, 0, 4, -8, 4, 32, 8, 4, 4, 0, -24, 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mf_twists_cc • Show schema
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id: 40807523
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 23, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202522, 'target_is_minimal': True, 'target_label': '154.2.e.c.23.1', 'target_level': 154, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40807524
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 793, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737805162, 'target_is_minimal': False, 'target_label': '1386.2.k.e.793.1', 'target_level': 1386, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40807525
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 177, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294928, 'target_is_minimal': False, 'target_label': '1232.2.q.d.177.1', 'target_level': 1232, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40807526
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037494, 'target_is_minimal': False, 'target_label': '1078.2.a.e.1.1', 'target_level': 1078, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40807527
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185167414, 'target_is_minimal': False, 'target_label': '1078.2.e.k.67.1', 'target_level': 1078, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40807528
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202522, 'target_is_minimal': True, 'target_label': '154.2.e.c.67.1', 'target_level': 154, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40807529
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296502, 'target_is_minimal': False, 'target_label': '1078.2.a.c.1.1', 'target_level': 1078, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40807530
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 177, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185167414, 'target_is_minimal': False, 'target_label': '1078.2.e.k.177.1', 'target_level': 1078, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 40807531
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010495462, 'target_is_minimal': False, 'target_label': '9702.2.a.br.1.1', 'target_level': 9702, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40807532
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 198158383637865958, 'target_is_minimal': False, 'target_label': '9702.2.a.bs.1.1', 'target_level': 9702, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40807533
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 991, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015085737805162, 'target_is_minimal': False, 'target_label': '1386.2.k.e.991.1', 'target_level': 1386, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40807534
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898427294928, 'target_is_minimal': False, 'target_label': '1232.2.q.d.529.1', 'target_level': 1232, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40807535
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580972976, 'target_is_minimal': False, 'target_label': '8624.2.a.u.1.1', 'target_level': 8624, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 40807536
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202522, 'source_is_minimal': True, 'source_label': '154.2.e.c.23.1', 'source_level': 154, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307268016, 'target_is_minimal': False, 'target_label': '8624.2.a.k.1.1', 'target_level': 8624, 'twist_class_label': '154.2.e.c.23.1', 'twist_class_level': 154, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 410375
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 2}
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id: 410376
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 3}
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id: 410377
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007474166202522, 'p': 5}
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id: 410378
{'charpoly_factorization': [[[7, 1, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 7}
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id: 410379
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 11}
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id: 410380
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 9007474166202522, 'p': 13}
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id: 410381
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 17}
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id: 410382
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 19}
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id: 410383
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 23}
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id: 410384
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 9007474166202522, 'p': 29}
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id: 410385
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 31}
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id: 410386
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 37}
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id: 410387
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007474166202522, 'p': 41}
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id: 410388
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007474166202522, 'p': 43}
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id: 410389
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 47}
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id: 410390
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007474166202522, 'p': 53}
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id: 410391
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 59}
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id: 410392
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 61}
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id: 410393
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 67}
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id: 410394
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007474166202522, 'p': 71}
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id: 410395
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 73}
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id: 410396
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 79}
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id: 410397
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007474166202522, 'p': 83}
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id: 410398
{'charpoly_factorization': [[[324, -18, 1], 1]], 'hecke_orbit_code': 9007474166202522, 'p': 89}
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id: 410399
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 9007474166202522, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '154.2.e.c', 'level': 154, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 30428755
{'hecke_orbit_code': 9007474166202522, 'n': 1, 'trace_an': 2}
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id: 30428756
{'hecke_orbit_code': 9007474166202522, 'n': 2, 'trace_an': 1}
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id: 30428757
{'hecke_orbit_code': 9007474166202522, 'n': 3, 'trace_an': -1}
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id: 30428758
{'hecke_orbit_code': 9007474166202522, 'n': 4, 'trace_an': -1}
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id: 30428759
{'hecke_orbit_code': 9007474166202522, 'n': 5, 'trace_an': 0}
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id: 30428760
{'hecke_orbit_code': 9007474166202522, 'n': 6, 'trace_an': -2}
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id: 30428761
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