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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': 8, 'hecke_orbit_code': 31525609742008832, '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], 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mf_hecke_cc • Show schema
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mf_newspaces • 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: 46298055
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525609742008832, 'target_is_minimal': False, 'target_label': '512.2.g.h.65.2', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46298056
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487267840, 'target_is_minimal': False, 'target_label': '512.2.g.f.65.1', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46298057
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022010114638336, 'target_is_minimal': False, 'target_label': '512.2.g.g.65.2', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46298058
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897344, 'target_is_minimal': False, 'target_label': '512.2.g.e.65.1', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46298059
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785472, 'target_is_minimal': False, 'target_label': '128.2.g.b.81.1', 'target_level': 128, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46298060
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232526592, 'target_is_minimal': False, 'target_label': '256.2.g.d.161.1', 'target_level': 256, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46298061
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 161, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605156096, 'target_is_minimal': False, 'target_label': '256.2.g.c.161.2', 'target_level': 256, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46298062
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 29, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785376, 'target_is_minimal': True, 'target_label': '32.2.g.b.29.1', 'target_level': 32, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46298063
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785472, 'target_is_minimal': False, 'target_label': '128.2.g.b.49.1', 'target_level': 128, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46298064
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525609742008832, 'target_is_minimal': False, 'target_label': '512.2.g.h.449.2', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46298065
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022010114638336, 'target_is_minimal': False, 'target_label': '512.2.g.g.449.2', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46298066
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 97, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511211232526592, 'target_is_minimal': False, 'target_label': '256.2.g.d.97.1', 'target_level': 256, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46298067
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 97, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007611605156096, 'target_is_minimal': False, 'target_label': '256.2.g.c.97.2', 'target_level': 256, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46298068
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897344, 'target_is_minimal': False, 'target_label': '512.2.g.e.449.1', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 46298069
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518410487267840, 'target_is_minimal': False, 'target_label': '512.2.g.f.449.1', 'target_level': 512, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46298070
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 21, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785376, 'target_is_minimal': True, 'target_label': '32.2.g.b.21.1', 'target_level': 32, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46298071
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 253, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505042769936672, 'target_is_minimal': False, 'target_label': '288.2.v.b.253.2', 'target_level': 288, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46298072
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 721, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505042769937536, 'target_is_minimal': False, 'target_label': '1152.2.v.b.721.2', 'target_level': 1152, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46298073
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 45035996307263488, 'target_is_minimal': False, 'target_label': '4096.2.a.k.1.6', 'target_level': 4096, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '64.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46298074
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 72057594071486464, 'target_is_minimal': False, 'target_label': '4096.2.a.q.1.6', 'target_level': 4096, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '64.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46298075
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45035996307263488, 'target_is_minimal': False, 'target_label': '4096.2.a.k.1.3', 'target_level': 4096, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '64.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 46298076
{'conductor': 64, 'degree': 8, 'order': 16, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071486464, 'target_is_minimal': False, 'target_label': '4096.2.a.q.1.3', 'target_level': 4096, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '64.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 46298077
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008985994691360, 'target_is_minimal': False, 'target_label': '800.2.ba.c.349.1', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '80.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46298078
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 701, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505248928367392, 'target_is_minimal': False, 'target_label': '800.2.y.b.701.2', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '80.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46298079
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512585622061856, 'target_is_minimal': False, 'target_label': '800.2.ba.d.349.2', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '80.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 46298080
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 181, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505042769936672, 'target_is_minimal': False, 'target_label': '288.2.v.b.181.2', 'target_level': 288, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '96.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46298081
{'conductor': 96, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 433, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505042769937536, 'target_is_minimal': False, 'target_label': '1152.2.v.b.433.2', 'target_level': 1152, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '96.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46298082
{'conductor': 160, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 501, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505248928367392, 'target_is_minimal': False, 'target_label': '800.2.y.b.501.2', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '160.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46298083
{'conductor': 160, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512585622061856, 'target_is_minimal': False, 'target_label': '800.2.ba.d.149.2', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '160.93', 'twisting_conrey_index': 93, 'weight': 2}
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id: 46298084
{'conductor': 160, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 65, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525609742008832, 'source_is_minimal': False, 'source_label': '512.2.g.h.65.2', 'source_level': 512, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008985994691360, 'target_is_minimal': False, 'target_label': '800.2.ba.c.149.1', 'target_level': 800, 'twist_class_label': '32.2.g.b.21.1', 'twist_class_level': 32, 'twisting_char_label': '160.157', 'twisting_conrey_index': 157, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 987350
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31525609742008832, 'p': 2}
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id: 987351
{'charpoly_factorization': [[[4, 32, 64, -56, 64, -24, 8, -4, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 3}
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id: 987352
{'charpoly_factorization': [[[2, -4, 6, -4, 1], 2]], 'hecke_orbit_code': 31525609742008832, 'p': 5}
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id: 987353
{'charpoly_factorization': [[[784, -1344, 1152, -224, 56, -48, 32, -8, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 7}
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id: 987354
{'charpoly_factorization': [[[4, -32, 256, -584, 576, -264, 72, -12, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 11}
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id: 987355
{'charpoly_factorization': [[[6724, -1968, 3176, 1648, 8, -88, -4, 0, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 13}
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id: 987356
{'charpoly_factorization': [[[256, 0, 5120, 0, 1056, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 17}
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id: 987357
{'charpoly_factorization': [[[196, 896, 1504, 1016, 384, 104, 24, 4, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 19}
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id: 987358
{'charpoly_factorization': [[[16, 64, 128, 32, -8, -16, 32, -8, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 23}
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id: 987359
{'charpoly_factorization': [[[188356, -93744, 6856, 1856, 392, 152, 44, 8, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 29}
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id: 987360
{'charpoly_factorization': [[[8, -8, 1], 4]], 'hecke_orbit_code': 31525609742008832, 'p': 31}
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id: 987361
{'charpoly_factorization': [[[64516, 107696, 65416, 16880, 4296, 1208, 204, 16, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 37}
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id: 987362
{'charpoly_factorization': [[[26896, -7872, 1152, 416, 968, -240, 32, 8, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 41}
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id: 987363
{'charpoly_factorization': [[[31684, 54112, 42912, 20824, 6848, 1496, 216, 20, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 43}
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id: 987364
{'charpoly_factorization': [[[256, 0, 1024, 0, 544, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 47}
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id: 987365
{'charpoly_factorization': [[[158404, -54128, 42088, 6160, -888, 232, 60, -16, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 53}
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id: 987366
{'charpoly_factorization': [[[643204, 718592, 391360, 133928, 30720, 4664, 456, 28, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 59}
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id: 987367
{'charpoly_factorization': [[[42436, 103824, 99240, 44976, 12168, 1992, 156, 0, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 61}
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id: 987368
{'charpoly_factorization': [[[1285956, 489888, 69984, -9720, -5184, -216, 216, 12, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 67}
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id: 987369
{'charpoly_factorization': [[[21196816, -9060672, 1936512, -173472, 10232, -1200, 288, -24, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 71}
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id: 987370
{'charpoly_factorization': [[[38416, -112896, 165888, -88192, 26504, -4672, 512, -32, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 73}
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id: 987371
{'charpoly_factorization': [[[99361024, 0, 4775936, 0, 78880, 0, 512, 0, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 79}
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id: 987372
{'charpoly_factorization': [[[138250564, 54933376, 10390560, 1285336, 122240, 9512, 664, 36, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 83}
-
id: 987373
{'charpoly_factorization': [[[17007376, -7786112, 1782272, -209472, 14024, -672, 128, -16, 1], 1]], 'hecke_orbit_code': 31525609742008832, 'p': 89}
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id: 987374
{'charpoly_factorization': [[[-992, 288, 40, -16, 1], 2]], 'hecke_orbit_code': 31525609742008832, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 8, 'label': '512.2.g.h', 'level': 512, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 193753000
{'hecke_orbit_code': 31525609742008832, 'n': 1, 'trace_an': 8}
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id: 193753001
{'hecke_orbit_code': 31525609742008832, 'n': 2, 'trace_an': 0}
-
id: 193753002
{'hecke_orbit_code': 31525609742008832, 'n': 3, 'trace_an': 4}
-
id: 193753003
{'hecke_orbit_code': 31525609742008832, 'n': 4, 'trace_an': 0}
-
id: 193753004
{'hecke_orbit_code': 31525609742008832, 'n': 5, 'trace_an': 8}
-
id: 193753005
{'hecke_orbit_code': 31525609742008832, 'n': 6, 'trace_an': 0}
-
id: 193753006
{'hecke_orbit_code': 31525609742008832, 'n': 7, 'trace_an': 8}
-
id: 193753007
{'hecke_orbit_code': 31525609742008832, 'n': 8, 'trace_an': 0}
-
id: 193753008
{'hecke_orbit_code': 31525609742008832, 'n': 9, 'trace_an': 0}
-
id: 193753009
{'hecke_orbit_code': 31525609742008832, 'n': 10, 'trace_an': 0}
-
id: 193753010
{'hecke_orbit_code': 31525609742008832, 'n': 11, 'trace_an': 12}
-
id: 193753011
{'hecke_orbit_code': 31525609742008832, 'n': 12, 'trace_an': 0}
-
id: 193753012
{'hecke_orbit_code': 31525609742008832, 'n': 13, 'trace_an': 0}
-
id: 193753013
{'hecke_orbit_code': 31525609742008832, 'n': 14, 'trace_an': 0}
-
id: 193753014
{'hecke_orbit_code': 31525609742008832, 'n': 15, 'trace_an': 0}
-
id: 193753015
{'hecke_orbit_code': 31525609742008832, 'n': 16, 'trace_an': 0}
-
id: 193753016
{'hecke_orbit_code': 31525609742008832, 'n': 17, 'trace_an': 0}
-
id: 193753017
{'hecke_orbit_code': 31525609742008832, 'n': 18, 'trace_an': 0}
-
id: 193753018
{'hecke_orbit_code': 31525609742008832, 'n': 19, 'trace_an': -4}
-
id: 193753019
{'hecke_orbit_code': 31525609742008832, 'n': 20, 'trace_an': 0}
-
id: 193753020
{'hecke_orbit_code': 31525609742008832, 'n': 21, 'trace_an': -16}
-
id: 193753021
{'hecke_orbit_code': 31525609742008832, 'n': 22, 'trace_an': 0}
-
id: 193753022
{'hecke_orbit_code': 31525609742008832, 'n': 23, 'trace_an': 8}
-
id: 193753023
{'hecke_orbit_code': 31525609742008832, 'n': 24, 'trace_an': 0}
-
id: 193753024
{'hecke_orbit_code': 31525609742008832, 'n': 25, 'trace_an': 8}
-
id: 193753025
{'hecke_orbit_code': 31525609742008832, 'n': 26, 'trace_an': 0}
-
id: 193753026
{'hecke_orbit_code': 31525609742008832, 'n': 27, 'trace_an': 16}
-
id: 193753027
{'hecke_orbit_code': 31525609742008832, 'n': 28, 'trace_an': 0}
-
id: 193753028
{'hecke_orbit_code': 31525609742008832, 'n': 29, 'trace_an': -8}
-
id: 193753029
{'hecke_orbit_code': 31525609742008832, 'n': 30, 'trace_an': 0}
-
id: 193753030
{'hecke_orbit_code': 31525609742008832, 'n': 31, 'trace_an': 32}
-
id: 193753031
{'hecke_orbit_code': 31525609742008832, 'n': 32, 'trace_an': 0}
-
id: 193753032
{'hecke_orbit_code': 31525609742008832, 'n': 33, 'trace_an': -16}
-
id: 193753033
{'hecke_orbit_code': 31525609742008832, 'n': 34, 'trace_an': 0}
-
id: 193753034
{'hecke_orbit_code': 31525609742008832, 'n': 35, 'trace_an': 8}
-
id: 193753035
{'hecke_orbit_code': 31525609742008832, 'n': 36, 'trace_an': 0}
-
id: 193753036
{'hecke_orbit_code': 31525609742008832, 'n': 37, 'trace_an': -16}
-
id: 193753037
{'hecke_orbit_code': 31525609742008832, 'n': 38, 'trace_an': 0}
-
id: 193753038
{'hecke_orbit_code': 31525609742008832, 'n': 39, 'trace_an': -16}
-
id: 193753039
{'hecke_orbit_code': 31525609742008832, 'n': 40, 'trace_an': 0}
-
id: 193753040
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