table(MGS=table(6=[[1, 1, 0, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 0], [2, 0, 1, 0, 1, 1, 1, 0, 0], [2, 0, 1, 1, 0, 0, 2, 0, 0], [2, 0, 1, 1, 1, 0, 0, 1, 0], [2, 0, 1, 1, 1, 0, 1, 0, 0], [2, 1, 0, 0, 0, 1, 1, 1, 0], [2, 1, 0, 0, 1, 0, 0, 2, 0], [2, 1, 0, 0, 1, 0, 1, 1, 0]],5=[[1, 1, 0, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 0, 0], [2, 0, 1, 0, 0, 0, 2, 0, 0], [2, 0, 1, 0, 0, 1, 1, 0, 0], [2, 1, 0, 0, 0, 0, 0, 2, 0]],4=[[1, 1, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 1, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 1], [1, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 1, 0, 0, 0, 1, 0, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0], [2, 0, 0, 1, 0, 1, 0, 0, 0], [2, 0, 1, 0, 0, 0, 1, 0, 0], [2, 1, 0, 0, 0, 0, 0, 1, 0]],3=[[1, 0, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 1], [1, 1, 0, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 0]],2=[[1, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0]],1=[[1, 0, 0, 0, 0, 0, 0, 0, 0]]),MGS_size=[1, 4, 8, 12, 12, 10],degreeBound_APriori=13,degreeBound=6,isModular=FALSE,isGorenstein=TRUE,size=18,generators=[[2, 9, 4, 5, 3, 7, 8, 6, 1], [4, 5, 6, 7, 8, 9, 1, 2, 3], [2, 1, 6, 8, 7, 3, 5, 4, 9]]):