"Source: Text/Group/GrpAtc.text";
"Line: 865";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpAtc.text, line: 865
// Example: H84E8 ()
print "Example: H84E8";
ei := GetEchoInput();
SetEchoInput(true);
FG<a,b,c,d,e> := FreeGroup(5);
F := quo< FG | a*d*d = 1, b*d*d*d = 1, c*d*d*d*d*d*e*e*e = 1>;
f, G<a,b,c,d,e> := IsAutomaticGroup(F);
G;
print a*d;
print a/(d^-1);
print c*d^5*e^2;
print a^b, b^-1*a*b;
print (a*d)^-2, Inverse(a*d)^2;
print c^-1*d^-1*c*d eq (c,d);
assert $1;
print IsIdentity(b*d^3);
assert $1;
print #(c*d*d*d*d*d*e*e);
assert $1 eq 1;
SetEchoInput(ei);
