"Source: Text/LieTheory/GrpLie.text";
"Line: 1565";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/LieTheory/GrpLie.text, line: 1565
// Example: H113E13 ()
print "Example: H113E13";
ei := GetEchoInput();
SetEchoInput(true);
G := GroupOfLieType("A3", 25 : Isogeny := 2);
Roots(G);
PositiveCoroots(G);
#Roots(G) eq 2*NumPosRoots(G);
assert $1;
Coroot(G, 4);
Coroot(G, 4 : Basis := "Root");
CorootPosition(G, [1,1,-1]);
assert $1 eq 4;
CorootPosition(G, [1,1,0] : Basis := "Root");
assert $1 eq 4;
SetEchoInput(ei);
