cartan matrix : 2 0 -1 0 0 0 0 0 2 0 -1 0 0 0 -1 0 2 -1 0 0 0 0 -1 -1 2 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 -1 2 root basis : 2 0 -1 0 0 0 0 0 2 0 -1 0 0 0 -2 3 0 0 -1 0 0 -4 4 0 0 0 -1 0 -6 5 0 0 0 0 -1 3 -2 0 0 0 0 0 -2 2 0 0 0 0 0 coroot basis : 1 0 -2 1 0 0 0 0 1 1 -2 1 0 0 0 0 0 1 -2 1 0 0 0 0 0 1 -2 1 0 0 0 0 0 1 -2 0 0 1 0 0 0 -2 0 0 0 0 0 0 1 positive roots : [-1,-1,-1,-1,-1,0,0] [-1,-1,-1,-1,0,0,0] [-1,-1,-1,0,0,0,0] [-1,-1,0,0,0,0,0] [-1,0,0,0,0,0,0] [-1,0,1,2,3,-1,2] [-1,0,1,2,4,-2,2] [-1,0,1,3,4,-2,2] [-1,0,1,3,5,-2,2] [-1,0,2,3,4,-2,2] [-1,0,2,3,5,-2,2] [-1,0,2,4,5,-2,2] [-1,1,2,3,4,-2,2] [-1,1,2,3,5,-2,2] [-1,1,2,4,5,-2,2] [-1,1,3,4,5,-2,2] [0,-1,-2,-2,-2,1,0] [0,-1,-1,-2,-2,1,0] [0,-1,-1,-1,-2,1,0] [0,-1,-1,-1,-1,0,0] [0,-1,-1,-1,-1,1,0] [0,-1,-1,-1,0,0,0] [0,-1,-1,0,0,0,0] [0,-1,0,0,0,0,0] [0,0,-1,-2,-2,1,0] [0,0,-1,-1,-2,1,0] [0,0,-1,-1,-1,0,0] [0,0,-1,-1,-1,1,0] [0,0,-1,-1,0,0,0] [0,0,-1,0,0,0,0] [0,0,0,-1,-2,1,0] [0,0,0,-1,-1,0,0] [0,0,0,-1,-1,1,0] [0,0,0,-1,0,0,0] [0,0,0,0,-1,0,0] [0,0,0,0,-1,1,0] [0,0,1,2,3,-1,2] [0,1,1,2,3,-1,2] [0,1,2,2,3,-1,2] [0,1,2,3,3,-1,2] [0,1,2,3,4,-2,2] [0,1,2,3,4,-1,2] [0,1,2,3,5,-2,2] [0,1,2,4,5,-2,2] [0,1,3,4,5,-2,2] [0,2,3,4,5,-2,2] [1,-1,-3,-5,-7,3,-2] [1,-1,-3,-5,-6,3,-2] [1,-1,-3,-4,-6,3,-2] [1,-1,-2,-4,-6,3,-2] [1,0,-2,-4,-6,3,-2] [1,0,-1,-2,-3,2,0] [1,0,-1,-2,-2,1,0] [1,0,-1,-1,-2,1,0] [1,0,-1,-1,-1,1,0] [1,0,0,-1,-2,1,0] [1,0,0,-1,-1,1,0] [1,0,0,0,-1,1,0] [1,1,0,-1,-2,1,0] [1,1,0,-1,-1,1,0] [1,1,0,0,-1,1,0] [1,1,1,0,-1,1,0] [2,0,-2,-4,-6,3,-2] positive coroots : [-1,0,0,0,-1,-1,1] [-1,0,0,-1,1,1,0] [-1,0,-1,1,0,1,0] [-1,-1,1,0,0,1,0] [-2,1,0,0,0,1,0] [-1,0,0,0,0,1,1] [0,0,0,-1,0,-1,1] [0,0,-1,1,-1,-1,1] [0,0,-1,0,1,1,0] [0,-1,1,0,-1,-1,1] [0,-1,1,-1,1,1,0] [0,-1,0,1,0,1,0] [-1,1,0,0,-1,-1,1] [-1,1,0,-1,1,1,0] [-1,1,-1,1,0,1,0] [-1,0,1,0,0,1,0] [0,0,-1,0,0,0,1] [0,-1,1,-1,0,0,1] [0,-1,0,1,-1,0,1] [1,-1,0,0,-1,-2,1] [0,-1,0,0,1,2,0] [1,-1,0,-1,1,0,0] [1,-1,-1,1,0,0,0] [1,-2,1,0,0,0,0] [-1,1,0,-1,0,0,1] [-1,1,-1,1,-1,0,1] [0,1,-1,0,-1,-2,1] [-1,1,-1,0,1,2,0] [0,1,-1,-1,1,0,0] [0,1,-2,1,0,0,0] [-1,0,1,0,-1,0,1] [0,0,1,-1,-1,-2,1] [-1,0,1,-1,1,2,0] [0,0,1,-2,1,0,0] [0,0,0,1,-2,-2,1] [-1,0,0,1,0,2,0] [1,-1,0,0,0,0,1] [0,1,-1,0,0,0,1] [0,0,1,-1,0,0,1] [0,0,0,1,-1,0,1] [1,0,0,0,-1,-2,1] [0,0,0,0,1,2,0] [1,0,0,-1,1,0,0] [1,0,-1,1,0,0,0] [1,-1,1,0,0,0,0] [0,1,0,0,0,0,0] [0,0,0,0,-1,-1,1] [0,0,0,-1,1,1,0] [0,0,-1,1,0,1,0] [0,-1,1,0,0,1,0] [-1,1,0,0,0,1,0] [0,0,0,0,0,1,1] [1,0,0,-1,0,-1,1] [1,0,-1,1,-1,-1,1] [1,0,-1,0,1,1,0] [1,-1,1,0,-1,-1,1] [1,-1,1,-1,1,1,0] [1,-1,0,1,0,1,0] [0,1,0,0,-1,-1,1] [0,1,0,-1,1,1,0] [0,1,-1,1,0,1,0] [0,0,1,0,0,1,0] [1,0,0,0,0,0,0]