"Source: Text/RepThy/RepSym.text";
"Line: 124";
"Date: Fri Sep 26 12:10:12 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/RepThy/RepSym.text, line: 124
// Example: H101E2 ()
print "Example: H101E2";
ei := GetEchoInput();
SetEchoInput(true);
//no-test
g:=Sym(5)!(3,4,5);
a:=SymmetricRepresentationSeminormal([3,2],g);a;
b:=SymmetricRepresentationOrthogonal([3,2],g);b;
IsSimilar(a,b);
assert $1;
IsOne(a^Order(g));
assert $1;
IsOne(b^Order(g));                              
assert $1;
SetEchoInput(ei);
