"Source: Text/Group/GrpAtc.text";
"Line: 460";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpAtc.text, line: 460
// Example: H84E4 ()
print "Example: H84E4";
ei := GetEchoInput();
SetEchoInput(true);
F<a, b> := FreeGroup(2);
Q := quo< F | a*a = 1, b*b = b^-1, a*b^-1*a*b^-1*a = b*a*b*a*b>;
f, G<a, b> := IsAutomaticGroup(Q);
G;
print G.1*G.2;
print Generators(G);
print Ngens(G);
assert $1 eq 2;
rels := Relations(G);
print rels[1];
print rels[2];
print rels[3];
print rels[4];
print Nrels(G);
assert $1 eq 18;
print Ordering(G);
SetEchoInput(ei);
