Suppose A and B are 8 x 8 matrices such that (A^2)B = [{1,4,3,3,4,1,4,3},{0,4,2,3,1,2,2,4},{0,0,2,2,4,1,1,3},{0,0,0,4,4,3,1,2},{0,0,0,0,1,2,3,2},{0,0,0,0,0,2,1,4},{0,0,0,0,0,0,2,2},{0,0,0,0,0,0,0,2}] and det(B) = 4. What is |det(A/2)|?