"Source: Text/LieTheory/RootDtm.text";
"Line: 1417";
"Date: Thu Jun 16 15:04:46 2022";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/LieTheory/RootDtm.text, line: 1417
// Example: H104E13 ()
print "Example: H104E13";
ei := GetEchoInput();
SetEchoInput(true);
R := RootDatum("A5 B2" : Isogeny := "SC");
IsIrreducible(R);
assert not $1;
IsSimplyLaced(R);
assert not $1;
IsSemisimple(R);
assert $1;
IsAdjoint(R);
assert not $1;
R := RootDatum("G2");
IsAdjoint(R);
assert $1;
IsSimplyConnected(R);
assert $1;
R := RootDatum("A3" : Isogeny := 2); 
IsAdjoint(R), IsSimplyConnected(R);
R := RootDatum("A2T1");
IsAdjoint(R), IsWeaklyAdjoint(R);
Dimension(R), Rank(R);
G := IsogenyGroup(R); G; 
SetEchoInput(ei);
