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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, 'conrey_indexes': [65, 193, 321, 449], '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': 5, 'hecke_orbit_code': 18014810859897344, '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, 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mf_hecke_cc • Show schema
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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_prime': False, 'level_is_prime_power': True, '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: 44351263
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44351264
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44351265
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44351266
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44351267
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44351268
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44351269
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44351270
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44351271
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44351272
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44351273
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44351274
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44351275
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 44351276
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 44351277
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 44351278
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 44351279
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 44351280
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 44351281
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '64.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44351282
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '64.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 44351283
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '64.45', 'twisting_conrey_index': 45, 'weight': 2}
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id: 44351284
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '64.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 44351285
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '80.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 44351286
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '80.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 44351287
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '80.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 44351288
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '96.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44351289
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '96.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 44351290
{'conductor': 160, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '160.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 44351291
{'conductor': 160, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '160.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 44351292
{'conductor': 160, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 449, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014810859897344, 'source_is_minimal': False, 'source_label': '512.2.g.e.449.2', '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': '160.133', 'twisting_conrey_index': 133, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 987275
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014810859897344, 'p': 2}
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id: 987276
{'charpoly_factorization': [[[4, -32, 64, 56, 64, 24, 8, 4, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 3}
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id: 987277
{'charpoly_factorization': [[[2, 4, 6, 4, 1], 2]], 'hecke_orbit_code': 18014810859897344, 'p': 5}
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id: 987278
{'charpoly_factorization': [[[784, -1344, 1152, -224, 56, -48, 32, -8, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 7}
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id: 987279
{'charpoly_factorization': [[[4, 32, 256, 584, 576, 264, 72, 12, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 11}
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id: 987280
{'charpoly_factorization': [[[6724, 1968, 3176, -1648, 8, 88, -4, 0, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 13}
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id: 987281
{'charpoly_factorization': [[[256, 0, 5120, 0, 1056, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 17}
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id: 987282
{'charpoly_factorization': [[[196, -896, 1504, -1016, 384, -104, 24, -4, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 19}
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id: 987283
{'charpoly_factorization': [[[16, 64, 128, 32, -8, -16, 32, -8, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 23}
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id: 987284
{'charpoly_factorization': [[[188356, 93744, 6856, -1856, 392, -152, 44, -8, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 29}
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id: 987285
{'charpoly_factorization': [[[8, -8, 1], 4]], 'hecke_orbit_code': 18014810859897344, 'p': 31}
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id: 987286
{'charpoly_factorization': [[[64516, -107696, 65416, -16880, 4296, -1208, 204, -16, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 37}
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id: 987287
{'charpoly_factorization': [[[26896, -7872, 1152, 416, 968, -240, 32, 8, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 41}
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id: 987288
{'charpoly_factorization': [[[31684, -54112, 42912, -20824, 6848, -1496, 216, -20, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 43}
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id: 987289
{'charpoly_factorization': [[[256, 0, 1024, 0, 544, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 47}
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id: 987290
{'charpoly_factorization': [[[158404, 54128, 42088, -6160, -888, -232, 60, 16, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 53}
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id: 987291
{'charpoly_factorization': [[[643204, -718592, 391360, -133928, 30720, -4664, 456, -28, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 59}
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id: 987292
{'charpoly_factorization': [[[42436, -103824, 99240, -44976, 12168, -1992, 156, 0, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 61}
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id: 987293
{'charpoly_factorization': [[[1285956, -489888, 69984, 9720, -5184, 216, 216, -12, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 67}
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id: 987294
{'charpoly_factorization': [[[21196816, -9060672, 1936512, -173472, 10232, -1200, 288, -24, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 71}
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id: 987295
{'charpoly_factorization': [[[38416, -112896, 165888, -88192, 26504, -4672, 512, -32, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 73}
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id: 987296
{'charpoly_factorization': [[[99361024, 0, 4775936, 0, 78880, 0, 512, 0, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 79}
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id: 987297
{'charpoly_factorization': [[[138250564, -54933376, 10390560, -1285336, 122240, -9512, 664, -36, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 83}
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id: 987298
{'charpoly_factorization': [[[17007376, -7786112, 1782272, -209472, 14024, -672, 128, -16, 1], 1]], 'hecke_orbit_code': 18014810859897344, 'p': 89}
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id: 987299
{'charpoly_factorization': [[[-992, 288, 40, -16, 1], 2]], 'hecke_orbit_code': 18014810859897344, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 5, 'label': '512.2.g.e', 'level': 512, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 159084000
{'hecke_orbit_code': 18014810859897344, 'n': 1, 'trace_an': 8}
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id: 159084001
{'hecke_orbit_code': 18014810859897344, 'n': 2, 'trace_an': 0}
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id: 159084002
{'hecke_orbit_code': 18014810859897344, 'n': 3, 'trace_an': -4}
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id: 159084003
{'hecke_orbit_code': 18014810859897344, 'n': 4, 'trace_an': 0}
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id: 159084004
{'hecke_orbit_code': 18014810859897344, 'n': 5, 'trace_an': -8}
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id: 159084005
{'hecke_orbit_code': 18014810859897344, 'n': 6, 'trace_an': 0}
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id: 159084006
{'hecke_orbit_code': 18014810859897344, 'n': 7, 'trace_an': 8}
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id: 159084007
{'hecke_orbit_code': 18014810859897344, 'n': 8, 'trace_an': 0}
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id: 159084008
{'hecke_orbit_code': 18014810859897344, 'n': 9, 'trace_an': 0}
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id: 159084009
{'hecke_orbit_code': 18014810859897344, 'n': 10, 'trace_an': 0}
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id: 159084010
{'hecke_orbit_code': 18014810859897344, 'n': 11, 'trace_an': -12}
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id: 159084011
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id: 159084998
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