"Source: Text/LieTheory/GrpCox.text";
"Line: 1008";
"Date: Wed Nov  6 12:03:34 2019";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/LieTheory/GrpCox.text, line: 1008
// Example: H105E12 ()
print "Example: H105E12";
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);
