Singular

LIB "multigrading.lib";
ring R = 0, (x,y), dp;
intmat M[2][2]=
1, 1,
0, 2;
intmat T[2][5]=
1,  2,  3,  4, 0,
0, 10, 20, 30, 1;
setBaseMultigrading(M, T);
ideal I = x, y, xy^5;
isHomogeneous(I);
==> 1
intmat V = multiDeg(I); print(V);
==>      1     1    10
==>      0     2    10
module S = syz(I); print(S);
==> -y,x4y5,
==> x, 0,   
==> 0, -1   
S = setModuleGrading(S, V);
getModuleGrading(S) == V;
==> 1
vector v = getGradedGenerator(S, 1);
getModuleGrading(v) == V;
==> 1
isHomogeneous(v);
==> 1
print( multiDeg(v) );
==> 2,
==> 2 
isHomogeneous(S);
==> 1
print( multiDeg(S) );
==>      2    10
==>      2    10