"Source: Text/Group/GrpAtc.text";
"Line: 1578";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpAtc.text, line: 1578
// Example: H84E18 ()
print "Example: H84E18";
ei := GetEchoInput();
SetEchoInput(true);
//no-test
F<x,y> := FreeGroup(2); 
red := [y^3]; green := [x^4, (x*y)^4 ];
ish := IsHyperbolic(F, red, green);
ish;
F<x,y,t> :=FreeGroup(3);
red := [y^3, x^2*t]; green := [t^2, (x*y)^4];
ish, dehn := IsHyperbolic(F, red, green);
ish, dehn;
F<a,b,c,d,e> := FreeGroup(5);
red := [a*b*c^-1, b*c*d^-1, c*d*e^-1, d*e*a^-1, e*a*b^-1 ];
IsHyperbolic(F,red,[]);    
SetEchoInput(ei);
