"Source: Text/Group/GrpFP.text";
"Line: 7794";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpFP.text, line: 7794
// Example: H80E59 ()
print "Example: H80E59";
ei := GetEchoInput();
SetEchoInput(true);
F<a, b> := FreeGroup(2);
F7<a, b> := quo< F |  a^2*b^-2*a^-1*b^-2*(a^-1*b^-1)^2,
       a*b*a*b^2*a*b*a*b^-1*(a*b^2)^2 >;
F7;
AbelianQuotientInvariants(F7);
Index( F7, sub< F7 | a > );
assert $1 eq 1;
SetEchoInput(ei);
