"Source: Text/Group/GrpFree.text";
"Line: 209";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpFree.text, line: 209
// Example: H78E2 ()
print "Example: H78E2";
ei := GetEchoInput();
SetEchoInput(true);
F<u,v,w,x,y,z> := FreeGroup(6);
rels := [ (u*v)^42, (v,x), (x*z^2)^4,
          v^2*y^3, (v*z)^3, y^4, (x*z)^3 ];
R := Matrix(Integers(), 
       [ [ Weight(r, F.j) : j in [1..6] ] : r in rels ]);
R;
SetEchoInput(ei);
