"Source: Text/LieTheory/RootSys.text";
"Line: 1290";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/LieTheory/RootSys.text, line: 1290
// Example: H106E14 ()
print "Example: H106E14";
ei := GetEchoInput();
SetEchoInput(true);
R := RootSystem("G2");
RootHeight(R, 5);
assert $1 eq 4;
F := CoxeterForm(R);
v := Root(R, 5);
(v*F, v) eq RootNorm(R, 5);
assert $1;
IsLongRoot(R, 5);
assert $1;
LeftString(R, 1, 5);
roots := Roots(R);
for i in [1..3] do
  RootPosition(R, roots[5]-i*roots[1]);
end for;
R := RootSystem("BC2");
Root(R,2), IsIndivisibleRoot(R,2);
Root(R,4), IsIndivisibleRoot(R,4);
SetEchoInput(ei);
