"Source: Text/RepThy/LieReps.text";
"Line: 2344";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/LieReps.text, line: 2344
// Example: H114E19 ()
print "Example: H114E19";
ei := GetEchoInput();
SetEchoInput(true);
W := CoxeterGroup("A3"); #W;
P<X> := PolynomialRing(Integers());
f := &+[ X^(CoxeterLength(W, w)) : w in W ]; f;
R := RootDatum("A3" : Isogeny := "SC");
exp := Exponents(R); exp;
g := [ &+[ X^j : j in [0..e] ] : e in exp ]; g;
f eq &*g;
assert $1;
SetEchoInput(ei);
