"Source: Text/Algebra/AlgClff.text";
"Line: 601";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Algebra/AlgClff.text, line: 601
// Example: H97E12 ()
print "Example: H97E12";
ei := GetEchoInput();
SetEchoInput(true);
q := 3;
r := 4;
K := GF(3);
Q := StandardQuadraticForm(2*r,K);
C,V,f := CliffordAlgebra(Q);
x := func< k,t |
  k eq 1 select VectorAction(f(t*V.(r+2))*f(V.(r+1))-One(C))
  else VectorAction(f(t*V.(r-k+2))*f(V.(r+k))-One(C)) >;
n := func< k, t | x(k,t)*Transpose(x(k,-t^-1))*x(k,t) >;
h := func< k, t | n(k,t)*n(k,-1) >;
w := n(1,1)*n(2,1)*n(3,1)*n(4,1);
xi := PrimitiveElement(K);
G := OmegaPlus(2*r,q);
G.1 eq h(2,xi);
assert $1;
G.2 eq Transpose(x(1,1))*x(3,1)*w;
assert $1;
VectorAction(-One(C)) eq IdentityMatrix(K,2*r);
assert $1;
SetEchoInput(ei);
