//SINGULAR ExampleA.9.8


ring r = 0,(x,y),ds;
poly f = x3+xy3;
ideal j = jacob(f);
ideal j1 = maxideal(1)*j;
ideal j2 = maxideal(2)*j;

j  = std(j);
deg(highcorner(j));

j1 = std(j1);
deg(highcorner(j1));

j2 = std(j2);
deg(highcorner(j2));