{"group_type":"dihedral","group_name":"d12","group_parameters":{"n":12},"group_order":24,"group_degree":12,"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],"1":[1,2,3,4,5,6,7,8,9,10,11,0],"2":[2,3,4,5,6,7,8,9,10,11,0,1],"3":[3,4,5,6,7,8,9,10,11,0,1,2],"4":[4,5,6,7,8,9,10,11,0,1,2,3],"5":[5,6,7,8,9,10,11,0,1,2,3,4],"6":[6,7,8,9,10,11,0,1,2,3,4,5],"7":[7,8,9,10,11,0,1,2,3,4,5,6],"8":[8,9,10,11,0,1,2,3,4,5,6,7],"9":[9,10,11,0,1,2,3,4,5,6,7,8],"10":[10,11,0,1,2,3,4,5,6,7,8,9],"11":[11,0,1,2,3,4,5,6,7,8,9,10],"12":[0,11,10,9,8,7,6,5,4,3,2,1],"13":[1,0,11,10,9,8,7,6,5,4,3,2],"14":[2,1,0,11,10,9,8,7,6,5,4,3],"15":[3,2,1,0,11,10,9,8,7,6,5,4],"16":[4,3,2,1,0,11,10,9,8,7,6,5],"17":[5,4,3,2,1,0,11,10,9,8,7,6],"18":[6,5,4,3,2,1,0,11,10,9,8,7],"19":[7,6,5,4,3,2,1,0,11,10,9,8],"20":[8,7,6,5,4,3,2,1,0,11,10,9],"21":[9,8,7,6,5,4,3,2,1,0,11,10],"22":[10,9,8,7,6,5,4,3,2,1,0,11],"23":[11,10,9,8,7,6,5,4,3,2,1,0]}}