"Source: Text/Group/GrpAtc.text";
"Line: 1533";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpAtc.text, line: 1533
// Example: H84E17 ()
print "Example: H84E17";
ei := GetEchoInput();
SetEchoInput(true);
groupList:= [*Sym(3), CyclicGroup(3)*];
F, red, green, GreenRelator, gens:=
    RedRelatorsForFreeProduct(groupList, 1);
F;
ish, dehn := IsHyperbolic(F, red, green);
ish, dehn;
extra_rel:= GreenRelator([* < 1, Sym(3)!(1, 3, 2)>, 
  <3, 1>, <2, CyclicGroup(3)!(1, 2, 3)>, <3, -1>, 
  <2, CyclicGroup(3)!(1, 3, 2)>, <1, Sym(3)!(1, 2)>, <3, 1>*]);
extra_rel;
Append(~green, extra_rel);
ish, dehn, D1, D2 := IsHyperbolic(F, red, green);
ish, dehn;
SetEchoInput(ei);
