"Source: Text/LieTheory/Cartan.text";
"Line: 243";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/LieTheory/Cartan.text, line: 243
// Example: H105E4 ()
print "Example: H105E4";
ei := GetEchoInput();
SetEchoInput(true);
G := PathGraph(4);
AssignLabel(G, 1,2, 4);
AssignLabel(G, 3,4, 4);
IsCoxeterGraph(G);
assert $1;
CoxeterGroupOrder(G);

M := SymmetricMatrix([1, 3,1, 2,5,1]);
G := CoxeterGraph(M);
Labels(EdgeSet(G));
SetEchoInput(ei);
