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{"group_type":"cyclic","group_name":"c21","group_parameters":{"n":21},"group_order":21,"group_degree":21,"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":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,0],"2":[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,0,1],"3":[3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,0,1,2],"4":[4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,0,1,2,3],"5":[5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,0,1,2,3,4],"6":[6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,0,1,2,3,4,5],"7":[7,8,9,10,11,12,13,14,15,16,17,18,19,20,0,1,2,3,4,5,6],"8":[8,9,10,11,12,13,14,15,16,17,18,19,20,0,1,2,3,4,5,6,7],"9":[9,10,11,12,13,14,15,16,17,18,19,20,0,1,2,3,4,5,6,7,8],"10":[10,11,12,13,14,15,16,17,18,19,20,0,1,2,3,4,5,6,7,8,9],"11":[11,12,13,14,15,16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10],"12":[12,13,14,15,16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11],"13":[13,14,15,16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12],"14":[14,15,16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13],"15":[15,16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],"16":[16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15],"17":[17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],"18":[18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],"19":[19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18],"20":[20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]}}