Group-Theory-Collection / data /c13 /metadata.json
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Release v2: regenerate all 94 groups with per-item deterministic sampling
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{"group_type":"cyclic","group_name":"c13","group_parameters":{"n":13},"group_order":13,"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]}}