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mf_newforms • Show schema
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{'Nk2': 2048, 'analytic_conductor': 4.088340583489556, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 32, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 8, 'char_parity': 1, 'char_values': [512, 8, [511, 5], [8, 7]], 'cm_discs': [], 'conrey_index': 65, 'dim': 8, 'field_disc': 18939904, 'field_disc_factorization': [[2, 16], [17, 2]], 'field_poly': [2, -12, 30, -44, 43, -28, 14, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 32, 64, -56, 64, -24, 8, -4, 1]], [5, [2, 4, 6, 4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022010114638336, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 32, 7, 1, 8, 0]], 'is_cm': False, 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mf_hecke_cc • Show schema
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-
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{'Nk2': 2048, 'analytic_conductor': 4.088340583489556, 'char_conductor': 32, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 8, 'char_parity': 1, 'char_values': [512, 8, [511, 5], [8, 7]], 'conrey_index': 65, 'cusp_dim': 192, 'dim': 48, 'eis_dim': 128, 'eis_new_dim': 32, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 412350415360, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 8, 8], 'label': '512.2.g', 'level': 512, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 320, 'mf_new_dim': 80, 'num_forms': 8, 'prim_orbit_index': 7, 'relative_dim': 12, 'sturm_bound': 128, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -496, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 656, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, 0, 0, -544, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45817667
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638336, 'target_is_minimal': False, 'target_label': '512.2.g.g.449.1', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45817668
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014810859897344, 'target_is_minimal': False, 'target_label': '512.2.g.e.449.2', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45817669
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525609742008832, 'target_is_minimal': False, 'target_label': '512.2.g.h.449.1', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45817670
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410487267840, 'target_is_minimal': False, 'target_label': '512.2.g.f.449.2', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45817671
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 21, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977785376, 'target_is_minimal': True, 'target_label': '32.2.g.b.21.2', 'target_level': 32, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45817672
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 97, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156096, 'target_is_minimal': False, 'target_label': '256.2.g.c.97.1', 'target_level': 256, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45817673
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 97, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211232526592, 'target_is_minimal': False, 'target_label': '256.2.g.d.97.2', 'target_level': 256, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45817674
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977785472, 'target_is_minimal': False, 'target_label': '128.2.g.b.49.2', 'target_level': 128, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45817675
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525609742008832, 'target_is_minimal': False, 'target_label': '512.2.g.h.65.1', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45817676
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977785472, 'target_is_minimal': False, 'target_label': '128.2.g.b.81.2', 'target_level': 128, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45817677
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211232526592, 'target_is_minimal': False, 'target_label': '256.2.g.d.161.2', 'target_level': 256, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45817678
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022010114638336, 'target_is_minimal': False, 'target_label': '512.2.g.g.65.1', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45817679
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014810859897344, 'target_is_minimal': False, 'target_label': '512.2.g.e.65.2', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45817680
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007611605156096, 'target_is_minimal': False, 'target_label': '256.2.g.c.161.1', 'target_level': 256, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 45817681
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 29, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977785376, 'target_is_minimal': True, 'target_label': '32.2.g.b.29.2', 'target_level': 32, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45817682
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410487267840, 'target_is_minimal': False, 'target_label': '512.2.g.f.65.2', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45817683
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 433, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505042769937536, 'target_is_minimal': False, 'target_label': '1152.2.v.b.433.1', 'target_level': 1152, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 45817684
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 181, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505042769936672, 'target_is_minimal': False, 'target_label': '288.2.v.b.181.1', 'target_level': 288, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 45817685
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071486464, 'target_is_minimal': False, 'target_label': '4096.2.a.q.1.2', 'target_level': 4096, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '64.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45817686
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307263488, 'target_is_minimal': False, 'target_label': '4096.2.a.k.1.2', 'target_level': 4096, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '64.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45817687
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 72057594071486464, 'target_is_minimal': False, 'target_label': '4096.2.a.q.1.7', 'target_level': 4096, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '64.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 45817688
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 45035996307263488, 'target_is_minimal': False, 'target_label': '4096.2.a.k.1.7', 'target_level': 4096, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '64.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 45817689
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512585622061856, 'target_is_minimal': False, 'target_label': '800.2.ba.d.149.1', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '80.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45817690
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 501, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505248928367392, 'target_is_minimal': False, 'target_label': '800.2.y.b.501.1', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '80.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45817691
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008985994691360, 'target_is_minimal': False, 'target_label': '800.2.ba.c.149.2', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '80.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 45817692
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 721, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505042769937536, 'target_is_minimal': False, 'target_label': '1152.2.v.b.721.1', 'target_level': 1152, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '96.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45817693
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 253, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505042769936672, 'target_is_minimal': False, 'target_label': '288.2.v.b.253.1', 'target_level': 288, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '96.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45817694
{'conductor': 160, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512585622061856, 'target_is_minimal': False, 'target_label': '800.2.ba.d.349.1', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '160.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45817695
{'conductor': 160, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505248928367392, 'target_is_minimal': False, 'target_label': '800.2.y.b.701.1', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '160.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 45817696
{'conductor': 160, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27022010114638336, 'source_is_minimal': False, 'source_label': '512.2.g.g.449.1', 'source_level': 512, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008985994691360, 'target_is_minimal': False, 'target_label': '800.2.ba.c.349.2', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.2', 'twist_class_level': 32, 'twisting_char_label': '160.123', 'twisting_conrey_index': 123, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 987325
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 27022010114638336, 'p': 2}
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id: 987326
{'charpoly_factorization': [[[4, 32, 64, -56, 64, -24, 8, -4, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 3}
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id: 987327
{'charpoly_factorization': [[[2, 4, 6, 4, 1], 2]], 'hecke_orbit_code': 27022010114638336, 'p': 5}
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id: 987328
{'charpoly_factorization': [[[784, 1344, 1152, 224, 56, 48, 32, 8, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 7}
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id: 987329
{'charpoly_factorization': [[[4, -32, 256, -584, 576, -264, 72, -12, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 11}
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id: 987330
{'charpoly_factorization': [[[6724, 1968, 3176, -1648, 8, 88, -4, 0, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 13}
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id: 987331
{'charpoly_factorization': [[[256, 0, 5120, 0, 1056, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 17}
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id: 987332
{'charpoly_factorization': [[[196, 896, 1504, 1016, 384, 104, 24, 4, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 19}
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id: 987333
{'charpoly_factorization': [[[16, -64, 128, -32, -8, 16, 32, 8, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 23}
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id: 987334
{'charpoly_factorization': [[[188356, 93744, 6856, -1856, 392, -152, 44, -8, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 29}
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id: 987335
{'charpoly_factorization': [[[8, 8, 1], 4]], 'hecke_orbit_code': 27022010114638336, 'p': 31}
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id: 987336
{'charpoly_factorization': [[[64516, -107696, 65416, -16880, 4296, -1208, 204, -16, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 37}
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id: 987337
{'charpoly_factorization': [[[26896, -7872, 1152, 416, 968, -240, 32, 8, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 41}
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id: 987338
{'charpoly_factorization': [[[31684, 54112, 42912, 20824, 6848, 1496, 216, 20, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 43}
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id: 987339
{'charpoly_factorization': [[[256, 0, 1024, 0, 544, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 47}
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id: 987340
{'charpoly_factorization': [[[158404, 54128, 42088, -6160, -888, -232, 60, 16, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 53}
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id: 987341
{'charpoly_factorization': [[[643204, 718592, 391360, 133928, 30720, 4664, 456, 28, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 59}
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id: 987342
{'charpoly_factorization': [[[42436, -103824, 99240, -44976, 12168, -1992, 156, 0, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 61}
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id: 987343
{'charpoly_factorization': [[[1285956, 489888, 69984, -9720, -5184, -216, 216, 12, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 67}
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id: 987344
{'charpoly_factorization': [[[21196816, 9060672, 1936512, 173472, 10232, 1200, 288, 24, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 71}
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id: 987345
{'charpoly_factorization': [[[38416, -112896, 165888, -88192, 26504, -4672, 512, -32, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 73}
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id: 987346
{'charpoly_factorization': [[[99361024, 0, 4775936, 0, 78880, 0, 512, 0, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 79}
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id: 987347
{'charpoly_factorization': [[[138250564, 54933376, 10390560, 1285336, 122240, 9512, 664, 36, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 83}
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id: 987348
{'charpoly_factorization': [[[17007376, -7786112, 1782272, -209472, 14024, -672, 128, -16, 1], 1]], 'hecke_orbit_code': 27022010114638336, 'p': 89}
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id: 987349
{'charpoly_factorization': [[[-992, 288, 40, -16, 1], 2]], 'hecke_orbit_code': 27022010114638336, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 7, 'label': '512.2.g.g', 'level': 512, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47408767
{'hecke_orbit_code': 27022010114638336, 'n': 1, 'trace_an': 8}
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id: 47408768
{'hecke_orbit_code': 27022010114638336, 'n': 2, 'trace_an': 0}
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id: 47408769
{'hecke_orbit_code': 27022010114638336, 'n': 3, 'trace_an': 4}
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id: 47408770
{'hecke_orbit_code': 27022010114638336, 'n': 4, 'trace_an': 0}
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id: 47408771
{'hecke_orbit_code': 27022010114638336, 'n': 5, 'trace_an': -8}
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id: 47408772
{'hecke_orbit_code': 27022010114638336, 'n': 6, 'trace_an': 0}
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id: 47408773
{'hecke_orbit_code': 27022010114638336, 'n': 7, 'trace_an': -8}
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id: 47408774
{'hecke_orbit_code': 27022010114638336, 'n': 8, 'trace_an': 0}
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id: 47408775
{'hecke_orbit_code': 27022010114638336, 'n': 9, 'trace_an': 0}
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id: 47408776
{'hecke_orbit_code': 27022010114638336, 'n': 10, 'trace_an': 0}
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id: 47408777
{'hecke_orbit_code': 27022010114638336, 'n': 11, 'trace_an': 12}
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id: 47408778
{'hecke_orbit_code': 27022010114638336, 'n': 12, 'trace_an': 0}
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id: 47408779
{'hecke_orbit_code': 27022010114638336, 'n': 13, 'trace_an': 0}
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id: 47408780
{'hecke_orbit_code': 27022010114638336, 'n': 14, 'trace_an': 0}
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id: 47408781
{'hecke_orbit_code': 27022010114638336, 'n': 15, 'trace_an': 0}
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id: 47408782
{'hecke_orbit_code': 27022010114638336, 'n': 16, 'trace_an': 0}
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id: 47408783
{'hecke_orbit_code': 27022010114638336, 'n': 17, 'trace_an': 0}
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id: 47408784
{'hecke_orbit_code': 27022010114638336, 'n': 18, 'trace_an': 0}
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id: 47408785
{'hecke_orbit_code': 27022010114638336, 'n': 19, 'trace_an': -4}
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id: 47408786
{'hecke_orbit_code': 27022010114638336, 'n': 20, 'trace_an': 0}
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id: 47408787
{'hecke_orbit_code': 27022010114638336, 'n': 21, 'trace_an': 16}
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id: 47408788
{'hecke_orbit_code': 27022010114638336, 'n': 22, 'trace_an': 0}
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id: 47408789
{'hecke_orbit_code': 27022010114638336, 'n': 23, 'trace_an': -8}
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id: 47408790
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id: 47408989
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id: 47408990
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id: 47408991
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id: 47408992
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id: 47408993
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id: 47408994
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id: 47408995
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id: 47408996
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id: 47408997
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id: 47409000
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id: 47409001
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id: 47409002
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id: 47409003
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id: 47409004
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id: 47409005
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id: 47409008
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id: 47409009
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id: 47409010
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id: 47409011
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id: 47409012
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id: 47409013
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id: 47409014
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id: 47409015
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id: 47409016
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id: 47409017
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id: 47409018
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id: 47409019
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id: 47409020
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id: 47409021
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id: 47409022
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id: 47409023
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id: 47409024
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