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mf_newforms • Show schema
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{'Nk2': 2048, 'analytic_conductor': 4.088340583489556, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1]], 'atkin_lehner_string': '+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [512, 1, [511, 5], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-2, 0, 1]], [5, [2, 1]], [7, [-8, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925440, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], 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mf_hecke_cc • Show schema
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'embedding_root_imag': 0.0, 'embedding_root_real': 1.4142135623730951, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925440, 'label': '512.2.a.b.1.2', 'level': 512, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 10], 'Nk2': 2048, 'analytic_conductor': 4.088340583489556, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [512, 1, [511, 5], [1, 1]], 'conrey_index': 1, 'cusp_dim': 49, 'dim': 16, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33554944, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4], 'label': '512.2.a', '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': 80, 'mf_new_dim': 16, 'num_forms': 7, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 16, 'sturm_bound': 128, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [16, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 512, 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: 33847217
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660925440, 'target_is_minimal': True, 'target_label': '512.2.a.b.1.2', 'target_level': 512, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33847218
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444116480, 'target_is_minimal': False, 'target_label': '4608.2.a.p.1.1', 'target_level': 4608, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33847219
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925440, 'target_is_minimal': True, 'target_label': '512.2.a.b.1.1', 'target_level': 512, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33847220
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036928, 'target_is_minimal': True, 'target_label': '512.2.a.e.1.2', 'target_level': 512, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33847221
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036928, 'target_is_minimal': True, 'target_label': '512.2.a.e.1.1', 'target_level': 512, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 33847222
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444116480, 'target_is_minimal': False, 'target_label': '4608.2.a.p.1.2', 'target_level': 4608, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33847223
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467262513664, 'target_is_minimal': False, 'target_label': '512.2.b.e.257.2', 'target_level': 512, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33847224
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467262513664, 'target_is_minimal': False, 'target_label': '512.2.b.e.257.1', 'target_level': 512, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 33847225
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014467262513664, 'target_is_minimal': False, 'target_label': '512.2.b.e.257.3', 'target_level': 512, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33847226
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014467262513664, 'target_is_minimal': False, 'target_label': '512.2.b.e.257.4', 'target_level': 512, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 33847227
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288300032, 'target_is_minimal': False, 'target_label': '4608.2.a.c.1.1', 'target_level': 4608, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 33847228
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199288300032, 'target_is_minimal': False, 'target_label': '4608.2.a.c.1.2', 'target_level': 4608, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33847229
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472303055872, 'target_is_minimal': False, 'target_label': '1024.2.e.h.257.2', 'target_level': 1024, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '32.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33847230
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055872, 'target_is_minimal': False, 'target_label': '1024.2.e.h.769.1', 'target_level': 1024, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '32.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 33847231
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472303055872, 'target_is_minimal': False, 'target_label': '1024.2.e.h.769.2', 'target_level': 1024, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '32.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33847232
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055872, 'target_is_minimal': False, 'target_label': '1024.2.e.h.257.1', 'target_level': 1024, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '32.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 33847233
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547070067278848, 'target_is_minimal': False, 'target_label': '1024.2.e.n.257.1', 'target_level': 1024, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '32.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 33847234
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067278848, 'target_is_minimal': False, 'target_label': '1024.2.e.n.769.2', 'target_level': 1024, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '32.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 33847235
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547070067278848, 'target_is_minimal': False, 'target_label': '1024.2.e.n.769.1', 'target_level': 1024, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '32.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 33847236
{'conductor': 32, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067278848, 'target_is_minimal': False, 'target_label': '1024.2.e.n.257.2', 'target_level': 1024, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '32.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 33847237
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532602838323712, 'target_is_minimal': False, 'target_label': '4608.2.d.j.2305.4', 'target_level': 4608, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 33847238
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532602838323712, 'target_is_minimal': False, 'target_label': '4608.2.d.j.2305.3', 'target_level': 4608, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33847239
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532602838323712, 'target_is_minimal': False, 'target_label': '4608.2.d.j.2305.2', 'target_level': 4608, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 33847240
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599660925440, 'source_is_minimal': True, 'source_label': '512.2.a.b.1.2', 'source_level': 512, 'target_conrey_index': 2305, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532602838323712, 'target_is_minimal': False, 'target_label': '4608.2.d.j.2305.1', 'target_level': 4608, 'twist_class_label': '512.2.a.b.1.1', 'twist_class_level': 512, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 986700
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 2}
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id: 986701
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 3}
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id: 986702
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 5}
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id: 986703
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 7}
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id: 986704
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 11}
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id: 986705
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 13}
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id: 986706
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 17}
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id: 986707
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 19}
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id: 986708
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 23}
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id: 986709
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 29}
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id: 986710
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 31}
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id: 986711
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 37}
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id: 986712
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 41}
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id: 986713
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 43}
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id: 986714
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 47}
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id: 986715
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 53}
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id: 986716
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 59}
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id: 986717
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 61}
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id: 986718
{'charpoly_factorization': [[[-162, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 67}
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id: 986719
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 71}
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id: 986720
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 73}
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id: 986721
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 79}
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id: 986722
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 4503599660925440, 'p': 83}
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id: 986723
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 89}
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id: 986724
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 4503599660925440, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '512.2.a.b', 'level': 512, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 16150350
{'hecke_orbit_code': 4503599660925440, 'n': 1, 'trace_an': 2}
-
id: 16150351
{'hecke_orbit_code': 4503599660925440, 'n': 2, 'trace_an': 0}
-
id: 16150352
{'hecke_orbit_code': 4503599660925440, 'n': 3, 'trace_an': 0}
-
id: 16150353
{'hecke_orbit_code': 4503599660925440, 'n': 4, 'trace_an': 0}
-
id: 16150354
{'hecke_orbit_code': 4503599660925440, 'n': 5, 'trace_an': -4}
-
id: 16150355
{'hecke_orbit_code': 4503599660925440, 'n': 6, 'trace_an': 0}
-
id: 16150356
{'hecke_orbit_code': 4503599660925440, 'n': 7, 'trace_an': 0}
-
id: 16150357
{'hecke_orbit_code': 4503599660925440, 'n': 8, 'trace_an': 0}
-
id: 16150358
{'hecke_orbit_code': 4503599660925440, 'n': 9, 'trace_an': -2}
-
id: 16150359
{'hecke_orbit_code': 4503599660925440, 'n': 10, 'trace_an': 0}
-
id: 16150360
{'hecke_orbit_code': 4503599660925440, 'n': 11, 'trace_an': 0}
-
id: 16150361
{'hecke_orbit_code': 4503599660925440, 'n': 12, 'trace_an': 0}
-
id: 16150362
{'hecke_orbit_code': 4503599660925440, 'n': 13, 'trace_an': -12}
-
id: 16150363
{'hecke_orbit_code': 4503599660925440, 'n': 14, 'trace_an': 0}
-
id: 16150364
{'hecke_orbit_code': 4503599660925440, 'n': 15, 'trace_an': 0}
-
id: 16150365
{'hecke_orbit_code': 4503599660925440, 'n': 16, 'trace_an': 0}
-
id: 16150366
{'hecke_orbit_code': 4503599660925440, 'n': 17, 'trace_an': 0}
-
id: 16150367
{'hecke_orbit_code': 4503599660925440, 'n': 18, 'trace_an': 0}
-
id: 16150368
{'hecke_orbit_code': 4503599660925440, 'n': 19, 'trace_an': 0}
-
id: 16150369
{'hecke_orbit_code': 4503599660925440, 'n': 20, 'trace_an': 0}
-
id: 16150370
{'hecke_orbit_code': 4503599660925440, 'n': 21, 'trace_an': -8}
-
id: 16150371
{'hecke_orbit_code': 4503599660925440, 'n': 22, 'trace_an': 0}
-
id: 16150372
{'hecke_orbit_code': 4503599660925440, 'n': 23, 'trace_an': 0}
-
id: 16150373
{'hecke_orbit_code': 4503599660925440, 'n': 24, 'trace_an': 0}
-
id: 16150374
{'hecke_orbit_code': 4503599660925440, 'n': 25, 'trace_an': -2}
-
id: 16150375
{'hecke_orbit_code': 4503599660925440, 'n': 26, 'trace_an': 0}
-
id: 16150376
{'hecke_orbit_code': 4503599660925440, 'n': 27, 'trace_an': 0}
-
id: 16150377
{'hecke_orbit_code': 4503599660925440, 'n': 28, 'trace_an': 0}
-
id: 16150378
{'hecke_orbit_code': 4503599660925440, 'n': 29, 'trace_an': -4}
-
id: 16150379
{'hecke_orbit_code': 4503599660925440, 'n': 30, 'trace_an': 0}
-
id: 16150380
{'hecke_orbit_code': 4503599660925440, 'n': 31, 'trace_an': 0}
-
id: 16150381
{'hecke_orbit_code': 4503599660925440, 'n': 32, 'trace_an': 0}
-
id: 16150382
{'hecke_orbit_code': 4503599660925440, 'n': 33, 'trace_an': -12}
-
id: 16150383
{'hecke_orbit_code': 4503599660925440, 'n': 34, 'trace_an': 0}
-
id: 16150384
{'hecke_orbit_code': 4503599660925440, 'n': 35, 'trace_an': 0}
-
id: 16150385
{'hecke_orbit_code': 4503599660925440, 'n': 36, 'trace_an': 0}
-
id: 16150386
{'hecke_orbit_code': 4503599660925440, 'n': 37, 'trace_an': -12}
-
id: 16150387
{'hecke_orbit_code': 4503599660925440, 'n': 38, 'trace_an': 0}
-
id: 16150388
{'hecke_orbit_code': 4503599660925440, 'n': 39, 'trace_an': 0}
-
id: 16150389
{'hecke_orbit_code': 4503599660925440, 'n': 40, 'trace_an': 0}
-
id: 16150390
{'hecke_orbit_code': 4503599660925440, 'n': 41, 'trace_an': 12}
-
id: 16150391
{'hecke_orbit_code': 4503599660925440, 'n': 42, 'trace_an': 0}
-
id: 16150392
{'hecke_orbit_code': 4503599660925440, 'n': 43, 'trace_an': 0}
-
id: 16150393
{'hecke_orbit_code': 4503599660925440, 'n': 44, 'trace_an': 0}
-
id: 16150394
{'hecke_orbit_code': 4503599660925440, 'n': 45, 'trace_an': 4}
-
id: 16150395
{'hecke_orbit_code': 4503599660925440, 'n': 46, 'trace_an': 0}
-
id: 16150396
{'hecke_orbit_code': 4503599660925440, 'n': 47, 'trace_an': 0}
-
id: 16150397
{'hecke_orbit_code': 4503599660925440, 'n': 48, 'trace_an': 0}
-
id: 16150398
{'hecke_orbit_code': 4503599660925440, 'n': 49, 'trace_an': 2}
-
id: 16150399
{'hecke_orbit_code': 4503599660925440, 'n': 50, 'trace_an': 0}
-
id: 16150400
{'hecke_orbit_code': 4503599660925440, 'n': 51, 'trace_an': 0}
-
id: 16150401
{'hecke_orbit_code': 4503599660925440, 'n': 52, 'trace_an': 0}
-
id: 16150402
{'hecke_orbit_code': 4503599660925440, 'n': 53, 'trace_an': 4}
-
id: 16150403
{'hecke_orbit_code': 4503599660925440, 'n': 54, 'trace_an': 0}
-
id: 16150404
{'hecke_orbit_code': 4503599660925440, 'n': 55, 'trace_an': 0}
-
id: 16150405
{'hecke_orbit_code': 4503599660925440, 'n': 56, 'trace_an': 0}
-
id: 16150406
{'hecke_orbit_code': 4503599660925440, 'n': 57, 'trace_an': 12}
-
id: 16150407
{'hecke_orbit_code': 4503599660925440, 'n': 58, 'trace_an': 0}
-
id: 16150408
{'hecke_orbit_code': 4503599660925440, 'n': 59, 'trace_an': 0}
-
id: 16150409
{'hecke_orbit_code': 4503599660925440, 'n': 60, 'trace_an': 0}
-
id: 16150410
{'hecke_orbit_code': 4503599660925440, 'n': 61, 'trace_an': -12}
-
id: 16150411
{'hecke_orbit_code': 4503599660925440, 'n': 62, 'trace_an': 0}
-
id: 16150412
{'hecke_orbit_code': 4503599660925440, 'n': 63, 'trace_an': 0}
-
id: 16150413
{'hecke_orbit_code': 4503599660925440, 'n': 64, 'trace_an': 0}
-
id: 16150414
{'hecke_orbit_code': 4503599660925440, 'n': 65, 'trace_an': 24}
-
id: 16150415
{'hecke_orbit_code': 4503599660925440, 'n': 66, 'trace_an': 0}
-
id: 16150416
{'hecke_orbit_code': 4503599660925440, 'n': 67, 'trace_an': 0}
-
id: 16150417
{'hecke_orbit_code': 4503599660925440, 'n': 68, 'trace_an': 0}
-
id: 16150418
{'hecke_orbit_code': 4503599660925440, 'n': 69, 'trace_an': 24}
-
id: 16150419
{'hecke_orbit_code': 4503599660925440, 'n': 70, 'trace_an': 0}
-
id: 16150420
{'hecke_orbit_code': 4503599660925440, 'n': 71, 'trace_an': 0}
-
id: 16150421
{'hecke_orbit_code': 4503599660925440, 'n': 72, 'trace_an': 0}
-
id: 16150422
{'hecke_orbit_code': 4503599660925440, 'n': 73, 'trace_an': -24}
-
id: 16150423
{'hecke_orbit_code': 4503599660925440, 'n': 74, 'trace_an': 0}
-
id: 16150424
{'hecke_orbit_code': 4503599660925440, 'n': 75, 'trace_an': 0}
-
id: 16150425
{'hecke_orbit_code': 4503599660925440, 'n': 76, 'trace_an': 0}
-
id: 16150426
{'hecke_orbit_code': 4503599660925440, 'n': 77, 'trace_an': 24}
-
id: 16150427
{'hecke_orbit_code': 4503599660925440, 'n': 78, 'trace_an': 0}
-
id: 16150428
{'hecke_orbit_code': 4503599660925440, 'n': 79, 'trace_an': 0}
-
id: 16150429
{'hecke_orbit_code': 4503599660925440, 'n': 80, 'trace_an': 0}
-
id: 16150430
{'hecke_orbit_code': 4503599660925440, 'n': 81, 'trace_an': -10}
-
id: 16150431
{'hecke_orbit_code': 4503599660925440, 'n': 82, 'trace_an': 0}
-
id: 16150432
{'hecke_orbit_code': 4503599660925440, 'n': 83, 'trace_an': 0}
-
id: 16150433
{'hecke_orbit_code': 4503599660925440, 'n': 84, 'trace_an': 0}
-
id: 16150434
{'hecke_orbit_code': 4503599660925440, 'n': 85, 'trace_an': 0}
-
id: 16150435
{'hecke_orbit_code': 4503599660925440, 'n': 86, 'trace_an': 0}
-
id: 16150436
{'hecke_orbit_code': 4503599660925440, 'n': 87, 'trace_an': 0}
-
id: 16150437
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