"Source: Text/LieTheory/GrpCox.text";
"Line: 2023";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/LieTheory/GrpCox.text, line: 2023
// Example: H108E25 ()
print "Example: H108E25";
ei := GetEchoInput();
SetEchoInput(true);
W := CoxeterGroup("A4");
P := StandardParabolicSubgroup(W, {1,2});
x := W.1 * W.2 * W.3;
x := TransversalElt(W, P, x);
x eq W.3;
assert $1;
x in Transversal(W, P);
assert $1;
SetEchoInput(ei);
