"Source: Text/Group/GrpAtc.text";
"Line: 611";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpAtc.text, line: 611
// Example: H84E6 ()
print "Example: H84E6";
ei := GetEchoInput();
SetEchoInput(true);
FG<a,b> := FreeGroup(2);
F := quo< FG | a^3 = 1, b^3 = 1, (a*b)^4 = 1, (a*b^-1)^5 = 1>;
SetVerbose("KBMAG", 1);
f, G := IsAutomaticGroup(F : GeneratorOrder := [a, b, a^-1, b^-1]);
IsFinite(G);
isf, ord := IsFinite(G);
isf, ord;
SetEchoInput(ei);
