eigenvectors {{2,2,0,0,0,0,0,0},{1,0,2,0,0,0,0,0},{0,1,0,2,0,0,0,0},{0,0,1,0,2,0,0,0},{0,0,0,1,0,2,0,0},{0,0,0,0,1,0,2,0},{0,0,0,0,0,1,0,0},{0,0,0,0,0,0,1,3}}/3