"Source: Text/Group/GrpFP.text";
"Line: 3883";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpFP.text, line: 3883
// Example: H80E29 ()
print "Example: H80E29";
ei := GetEchoInput();
SetEchoInput(true);
F<x, y> := FreeGroup(2);
G<a, b> := quo<F | y^7, (x*y)^2, (x^-1*y)^3>;
H := sub<G | a>;
P := CosetEnumerationProcess(G, H);
StartEnumeration(~P : Print := true);
HasValidCosetTable(P);
assert $1;
HasCompleteCosetTable(P);
assert not $1;
found, elt := ExistsNormalisingCoset(P);
found;
assert $1;
elt;
SetEchoInput(ei);
