Singular

LIB "modules.lib";
"example 1:";
==> example 1:
ring R = 0,(x,y),dp;
matrix a[1][2] = x,y;
Matrix A = a;
matrix b[1][2] = x2,y2;
Matrix B = b;
Module M = subquotient(A,B);
Module C = presentation(M);
Vector V = [x2,y4],C;
interpret(V);
==> | y5+x3 |
==> 
==> 
"example 2:";
==> example 2:
ring S;
matrix gens[2][3] = x2+y-3z4,y+xy,xyz+4,3+z2x,z3-3x+3,2+x+y+z7;
vector v = 2x*[gens[1..2,1]] + (y-z2)*[gens[1..2,2]] + 5*[gens[1..2,3]];
Matrix Gens = gens;
M = subquotient(Gens,zero(2,3));
M.interpretation = list(list(1,1,1),list());
V = v,M;
interpret(V);
==> -z2+2x+y+5