| {"group_type":"dihedral","group_name":"d13","group_parameters":{"n":13},"group_order":26,"group_degree":13,"solvable":true,"complexity_class":"tc0","num_train_samples":100000,"num_test_samples":20000,"min_seq_length":3,"max_seq_length":1024,"seed":0,"composition":"For input [p_1, ..., p_n] the target is p_1 . p_2 . ... . p_n, so result(x) = p_1(p_2(...p_n(x)...)). The LAST element listed acts on the point first.","gdg_version":"0.2.0","permutation_map":{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12],"1":[1,2,3,4,5,6,7,8,9,10,11,12,0],"2":[2,3,4,5,6,7,8,9,10,11,12,0,1],"3":[3,4,5,6,7,8,9,10,11,12,0,1,2],"4":[4,5,6,7,8,9,10,11,12,0,1,2,3],"5":[5,6,7,8,9,10,11,12,0,1,2,3,4],"6":[6,7,8,9,10,11,12,0,1,2,3,4,5],"7":[7,8,9,10,11,12,0,1,2,3,4,5,6],"8":[8,9,10,11,12,0,1,2,3,4,5,6,7],"9":[9,10,11,12,0,1,2,3,4,5,6,7,8],"10":[10,11,12,0,1,2,3,4,5,6,7,8,9],"11":[11,12,0,1,2,3,4,5,6,7,8,9,10],"12":[12,0,1,2,3,4,5,6,7,8,9,10,11],"13":[0,12,11,10,9,8,7,6,5,4,3,2,1],"14":[1,0,12,11,10,9,8,7,6,5,4,3,2],"15":[2,1,0,12,11,10,9,8,7,6,5,4,3],"16":[3,2,1,0,12,11,10,9,8,7,6,5,4],"17":[4,3,2,1,0,12,11,10,9,8,7,6,5],"18":[5,4,3,2,1,0,12,11,10,9,8,7,6],"19":[6,5,4,3,2,1,0,12,11,10,9,8,7],"20":[7,6,5,4,3,2,1,0,12,11,10,9,8],"21":[8,7,6,5,4,3,2,1,0,12,11,10,9],"22":[9,8,7,6,5,4,3,2,1,0,12,11,10],"23":[10,9,8,7,6,5,4,3,2,1,0,12,11],"24":[11,10,9,8,7,6,5,4,3,2,1,0,12],"25":[12,11,10,9,8,7,6,5,4,3,2,1,0]}} |
