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mf_newforms • Show schema
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{'Nk2': 6656, 'analytic_conductor': 13.287106896341056, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1664, 2, [1535, 261, 769], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 833, 'dim': 12, 'field_disc': 426337261060096, 'field_disc_factorization': [[2, 24], [71, 4]], 'field_poly': [64, 0, 0, -32, -12, 8, 8, 4, -3, -4, 0, 0, 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, [8, 0, 25, 0, 10, 0, 1]], [5, [100, 0, 89, 0, 22, 0, 1]], [7, [-242, 0, 125, 0, -20, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036065026737792, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2048, 'hecke_ring_index_factorization': [[2, 11]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 6656, 'analytic_conductor': 13.287106896341056, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1664, 2, [1535, 261, 769], [2, 1, 2]], 'conrey_index': 833, 'cusp_dim': 208, 'dim': 48, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 68753032832, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 4, 8, 12], 'label': '1664.2.b', 'level': 1664, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'mf_dim': 240, 'mf_new_dim': 48, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 448, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 48, 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, 16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 160, 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, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 32, 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, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 544, 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, 128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 128, 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, 0, 0, 0, 0, 0, 0, 0, 0, -448, 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, 32, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 288, 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: 47154688
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 833, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45036065026737792, 'source_is_minimal': True, 'source_label': '1664.2.b.k.833.3', 'source_level': 1664, 'target_conrey_index': 833, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036065026737792, 'target_is_minimal': True, 'target_label': '1664.2.b.k.833.3', 'target_level': 1664, 'twist_class_label': '1664.2.b.k.833.3', 'twist_class_level': 1664, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47154689
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 833, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45036065026737792, 'source_is_minimal': True, 'source_label': '1664.2.b.k.833.3', 'source_level': 1664, 'target_conrey_index': 833, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 45036065026737792, 'target_is_minimal': True, 'target_label': '1664.2.b.k.833.9', 'target_level': 1664, 'twist_class_label': '1664.2.b.k.833.3', 'twist_class_level': 1664, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47154690
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 833, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45036065026737792, 'source_is_minimal': True, 'source_label': '1664.2.b.k.833.3', 'source_level': 1664, 'target_conrey_index': 833, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036065026737792, 'target_is_minimal': True, 'target_label': '1664.2.b.k.833.4', 'target_level': 1664, 'twist_class_label': '1664.2.b.k.833.3', 'twist_class_level': 1664, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47154691
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 833, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45036065026737792, 'source_is_minimal': True, 'source_label': '1664.2.b.k.833.3', 'source_level': 1664, 'target_conrey_index': 833, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 45036065026737792, 'target_is_minimal': True, 'target_label': '1664.2.b.k.833.10', 'target_level': 1664, 'twist_class_label': '1664.2.b.k.833.3', 'twist_class_level': 1664, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47154692
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 833, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45036065026737792, 'source_is_minimal': True, 'source_label': '1664.2.b.k.833.3', 'source_level': 1664, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985128377600, 'target_is_minimal': False, 'target_label': '3328.2.a.bo.1.2', 'target_level': 3328, 'twist_class_label': '1664.2.b.k.833.3', 'twist_class_level': 1664, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47154693
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 833, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45036065026737792, 'source_is_minimal': True, 'source_label': '1664.2.b.k.833.3', 'source_level': 1664, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584755748096, 'target_is_minimal': False, 'target_label': '3328.2.a.bp.1.2', 'target_level': 3328, 'twist_class_label': '1664.2.b.k.833.3', 'twist_class_level': 1664, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47154694
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 833, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45036065026737792, 'source_is_minimal': True, 'source_label': '1664.2.b.k.833.3', 'source_level': 1664, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 184647584755748096, 'target_is_minimal': False, 'target_label': '3328.2.a.bp.1.5', 'target_level': 3328, 'twist_class_label': '1664.2.b.k.833.3', 'twist_class_level': 1664, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47154695
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 833, 'source_dim': 12, 'source_embedding_index': 3, 'source_hecke_orbit_code': 45036065026737792, 'source_is_minimal': True, 'source_label': '1664.2.b.k.833.3', 'source_level': 1664, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 180143985128377600, 'target_is_minimal': False, 'target_label': '3328.2.a.bo.1.5', 'target_level': 3328, 'twist_class_label': '1664.2.b.k.833.3', 'twist_class_level': 1664, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2112700
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 45036065026737792, 'p': 2}
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id: 2112701
{'charpoly_factorization': [[[8, 0, 25, 0, 10, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 3}
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id: 2112702
{'charpoly_factorization': [[[100, 0, 89, 0, 22, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 5}
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id: 2112703
{'charpoly_factorization': [[[-242, 0, 125, 0, -20, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 7}
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id: 2112704
{'charpoly_factorization': [[[800, 0, 416, 0, 42, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 11}
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id: 2112705
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 45036065026737792, 'p': 13}
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id: 2112706
{'charpoly_factorization': [[[-44, -23, 2, 1], 4]], 'hecke_orbit_code': 45036065026737792, 'p': 17}
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id: 2112707
{'charpoly_factorization': [[[512, 0, 704, 0, 66, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 19}
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id: 2112708
{'charpoly_factorization': [[[-512, 0, 400, 0, -40, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 23}
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id: 2112709
{'charpoly_factorization': [[[4, 0, 1], 6]], 'hecke_orbit_code': 45036065026737792, 'p': 29}
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id: 2112710
{'charpoly_factorization': [[[-128, 0, 288, 0, -34, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 31}
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id: 2112711
{'charpoly_factorization': [[[2500, 0, 1225, 0, 134, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 37}
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id: 2112712
{'charpoly_factorization': [[[-512, -64, 10, 1], 4]], 'hecke_orbit_code': 45036065026737792, 'p': 41}
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id: 2112713
{'charpoly_factorization': [[[32, 0, 265, 0, 34, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 43}
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id: 2112714
{'charpoly_factorization': [[[-50, 0, 669, 0, -52, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 47}
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id: 2112715
{'charpoly_factorization': [[[350464, 0, 19088, 0, 280, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 53}
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id: 2112716
{'charpoly_factorization': [[[2048, 0, 1152, 0, 130, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 59}
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id: 2112717
{'charpoly_factorization': [[[16384, 0, 8192, 0, 208, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 61}
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id: 2112718
{'charpoly_factorization': [[[43808, 0, 6688, 0, 202, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 67}
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id: 2112719
{'charpoly_factorization': [[[-7442, 0, 8653, 0, -196, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 71}
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id: 2112720
{'charpoly_factorization': [[[-128, -160, -6, 1], 4]], 'hecke_orbit_code': 45036065026737792, 'p': 73}
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id: 2112721
{'charpoly_factorization': [[[-574592, 0, 22736, 0, -272, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 79}
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id: 2112722
{'charpoly_factorization': [[[161312, 0, 13088, 0, 218, 0, 1], 2]], 'hecke_orbit_code': 45036065026737792, 'p': 83}
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id: 2112723
{'charpoly_factorization': [[[32, -32, -2, 1], 4]], 'hecke_orbit_code': 45036065026737792, 'p': 89}
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id: 2112724
{'charpoly_factorization': [[[488, -100, -10, 1], 4]], 'hecke_orbit_code': 45036065026737792, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 11, 'label': '1664.2.b.k', 'level': 1664, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 55381225
{'hecke_orbit_code': 45036065026737792, 'n': 1, 'trace_an': 12}
-
id: 55381226
{'hecke_orbit_code': 45036065026737792, 'n': 2, 'trace_an': 0}
-
id: 55381227
{'hecke_orbit_code': 45036065026737792, 'n': 3, 'trace_an': 0}
-
id: 55381228
{'hecke_orbit_code': 45036065026737792, 'n': 4, 'trace_an': 0}
-
id: 55381229
{'hecke_orbit_code': 45036065026737792, 'n': 5, 'trace_an': 0}
-
id: 55381230
{'hecke_orbit_code': 45036065026737792, 'n': 6, 'trace_an': 0}
-
id: 55381231
{'hecke_orbit_code': 45036065026737792, 'n': 7, 'trace_an': 0}
-
id: 55381232
{'hecke_orbit_code': 45036065026737792, 'n': 8, 'trace_an': 0}
-
id: 55381233
{'hecke_orbit_code': 45036065026737792, 'n': 9, 'trace_an': -4}
-
id: 55381234
{'hecke_orbit_code': 45036065026737792, 'n': 10, 'trace_an': 0}
-
id: 55381235
{'hecke_orbit_code': 45036065026737792, 'n': 11, 'trace_an': 0}
-
id: 55381236
{'hecke_orbit_code': 45036065026737792, 'n': 12, 'trace_an': 0}
-
id: 55381237
{'hecke_orbit_code': 45036065026737792, 'n': 13, 'trace_an': 0}
-
id: 55381238
{'hecke_orbit_code': 45036065026737792, 'n': 14, 'trace_an': 0}
-
id: 55381239
{'hecke_orbit_code': 45036065026737792, 'n': 15, 'trace_an': 0}
-
id: 55381240
{'hecke_orbit_code': 45036065026737792, 'n': 16, 'trace_an': 0}
-
id: 55381241
{'hecke_orbit_code': 45036065026737792, 'n': 17, 'trace_an': -8}
-
id: 55381242
{'hecke_orbit_code': 45036065026737792, 'n': 18, 'trace_an': 0}
-
id: 55381243
{'hecke_orbit_code': 45036065026737792, 'n': 19, 'trace_an': 0}
-
id: 55381244
{'hecke_orbit_code': 45036065026737792, 'n': 20, 'trace_an': 0}
-
id: 55381245
{'hecke_orbit_code': 45036065026737792, 'n': 21, 'trace_an': 0}
-
id: 55381246
{'hecke_orbit_code': 45036065026737792, 'n': 22, 'trace_an': 0}
-
id: 55381247
{'hecke_orbit_code': 45036065026737792, 'n': 23, 'trace_an': 0}
-
id: 55381248
{'hecke_orbit_code': 45036065026737792, 'n': 24, 'trace_an': 0}
-
id: 55381249
{'hecke_orbit_code': 45036065026737792, 'n': 25, 'trace_an': -28}
-
id: 55381250
{'hecke_orbit_code': 45036065026737792, 'n': 26, 'trace_an': 0}
-
id: 55381251
{'hecke_orbit_code': 45036065026737792, 'n': 27, 'trace_an': 0}
-
id: 55381252
{'hecke_orbit_code': 45036065026737792, 'n': 28, 'trace_an': 0}
-
id: 55381253
{'hecke_orbit_code': 45036065026737792, 'n': 29, 'trace_an': 0}
-
id: 55381254
{'hecke_orbit_code': 45036065026737792, 'n': 30, 'trace_an': 0}
-
id: 55381255
{'hecke_orbit_code': 45036065026737792, 'n': 31, 'trace_an': 0}
-
id: 55381256
{'hecke_orbit_code': 45036065026737792, 'n': 32, 'trace_an': 0}
-
id: 55381257
{'hecke_orbit_code': 45036065026737792, 'n': 33, 'trace_an': 32}
-
id: 55381258
{'hecke_orbit_code': 45036065026737792, 'n': 34, 'trace_an': 0}
-
id: 55381259
{'hecke_orbit_code': 45036065026737792, 'n': 35, 'trace_an': 0}
-
id: 55381260
{'hecke_orbit_code': 45036065026737792, 'n': 36, 'trace_an': 0}
-
id: 55381261
{'hecke_orbit_code': 45036065026737792, 'n': 37, 'trace_an': 0}
-
id: 55381262
{'hecke_orbit_code': 45036065026737792, 'n': 38, 'trace_an': 0}
-
id: 55381263
{'hecke_orbit_code': 45036065026737792, 'n': 39, 'trace_an': 0}
-
id: 55381264
{'hecke_orbit_code': 45036065026737792, 'n': 40, 'trace_an': 0}
-
id: 55381265
{'hecke_orbit_code': 45036065026737792, 'n': 41, 'trace_an': -40}
-
id: 55381266
{'hecke_orbit_code': 45036065026737792, 'n': 42, 'trace_an': 0}
-
id: 55381267
{'hecke_orbit_code': 45036065026737792, 'n': 43, 'trace_an': 0}
-
id: 55381268
{'hecke_orbit_code': 45036065026737792, 'n': 44, 'trace_an': 0}
-
id: 55381269
{'hecke_orbit_code': 45036065026737792, 'n': 45, 'trace_an': 0}
-
id: 55381270
{'hecke_orbit_code': 45036065026737792, 'n': 46, 'trace_an': 0}
-
id: 55381271
{'hecke_orbit_code': 45036065026737792, 'n': 47, 'trace_an': 0}
-
id: 55381272
{'hecke_orbit_code': 45036065026737792, 'n': 48, 'trace_an': 0}
-
id: 55381273
{'hecke_orbit_code': 45036065026737792, 'n': 49, 'trace_an': -4}
-
id: 55381274
{'hecke_orbit_code': 45036065026737792, 'n': 50, 'trace_an': 0}
-
id: 55381275
{'hecke_orbit_code': 45036065026737792, 'n': 51, 'trace_an': 0}
-
id: 55381276
{'hecke_orbit_code': 45036065026737792, 'n': 52, 'trace_an': 0}
-
id: 55381277
{'hecke_orbit_code': 45036065026737792, 'n': 53, 'trace_an': 0}
-
id: 55381278
{'hecke_orbit_code': 45036065026737792, 'n': 54, 'trace_an': 0}
-
id: 55381279
{'hecke_orbit_code': 45036065026737792, 'n': 55, 'trace_an': 0}
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