det {{1,1,1,0,0,0,0,0,0},{0,0,0,1,1,1,0,0,0},{0,0,0,0,0,0,1,1,1},{1,0,0,1,0,0,1,0,0},{0,1,0,0,1,0,0,1,0},{1,-1,0,-1,1,0,0,0,0},{1,0,-1,0,0,0,-1,0,1},{0,0,0,0,1,-1,0,-1,1},{a,b,c,d,e,f,g,h,i}}