"Source: Text/Group/GrpASim.text";
"Line: 1969";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpASim.text, line: 1969
// Example: H72E8 ()
print "Example: H72E8";
ei := GetEchoInput();
SetEchoInput(true);
isInOmega := func< g,form | 
   Determinant(g) eq 1 and SpinorNorm(g,form) eq 0 >;
G := GOPlus(6,3);
g := G![
  [ 1, 0, 0, 0, 0, 0],
  [ 0, 0, 0, 0, 2, 0],
  [ 0, 0, 1, 0, 0, 0],
  [ 0, 0, 0, 1, 0, 0],
  [ 0, 2, 0, 0, 0, 0],
  [ 0, 0, 0, 0, 0, 1] ];
_, form := SymmetricBilinearForm(G); 
SpinorNorm(g,form);
assert $1 eq 0;
isInOmega(g,form);
assert not $1;
SetEchoInput(ei);
