"Source: Text/LieTheory/GrpCox.text";
"Line: 1005";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/LieTheory/GrpCox.text, line: 1005
// Example: H108E12 ()
print "Example: H108E12";
ei := GetEchoInput();
SetEchoInput(true);
W := CoxeterGroup(GrpFPCox, HyperbolicCoxeterMatrix(22));
IsFinite(W);
assert not $1;
IsAffine(W);
assert not $1;
IsHyperbolic(W);
assert $1;
IsCompactHyperbolic(W);
assert not $1;
IsIrreducible(W);
assert $1;
IsSimplyLaced(W);
assert $1;
W := CoxeterGroup("A2 D4");
IsIrreducible(W);
assert not $1;
IsSemisimple(W);
assert $1;
IsCrystallographic(W);
assert $1;
IsSimplyLaced(W);
assert $1;
SetEchoInput(ei);
