"Source: Text/Group/GrpFP.text";
"Line: 5331";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpFP.text, line: 5331
// Example: H80E41 ()
print "Example: H80E41";
ei := GetEchoInput();
SetEchoInput(true);
G<x, y> := FPGroup< x, y | x^2, y^3, (x*y)^12, (x*y)^6*(x*y^-1)^6 >;
G;
K := sub< G | x, y*x*y^-1, y*x*y^-1*x*y^-1*x*y >;
K;
Index(G, K);
assert $1 eq 3;
T := Rewrite(G, K);
T;
AbelianQuotientInvariants(T);
Q2 := pQuotient(T, 2, 30);
FactoredOrder(Q2);
SetEchoInput(ei);
