Arthur parameters listed by orbit: #parameters by orbit: [3,4,5,6,5,5,6,5,4,4,4,4,6,5,3,3,6,6,6,4,4,4,3,4,3,5,4,3,4,4,2,4,3,3,2,4,2,4,4,4,4,3,3,4,4,2,3,3,2,3,2,2,2,4,2,2,3,2,2,2,2,2,2,2,2,2,2,1,1,1] Total: 235 orbit #0 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 0, 0, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 0, 0, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 0, 0, 0, 0 ] 1 orbit #1 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 0, 0, 0, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 1, -1, 1, -1, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 0, 0, 0, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 0, 0, 0, 1 ] 1 orbit #2 for G #orbits for (disconnected) Cent(O): 5 K_0 H mult root datum of Lie type 'D8' [ -1, 1, 1, -1, 1, -1, 1, -1 ] 1 root datum of Lie type 'D8' [ 1, 0, 0, 0, 0, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 1, -1, 1, -1, 1, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, 0, 0, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 0, 0, 0, 0 ] 1 orbit #3 for G #orbits for (disconnected) Cent(O): 6 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 0, 1, -1, 1, -1 ] 1 root datum of Lie type 'D8' [ 0, 0, 0, 0, 0, 1, -1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, -1, 1, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 1, -1, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 0, 1, -1, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 0, 0, 1, 0 ] 1 orbit #4 for G #orbits for (disconnected) Cent(O): 5 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 0, 0, 0, 2, -2 ] 1 root datum of Lie type 'D8' [ 0, 0, 0, 0, 0, 0, 0, 2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 0, 0, 2, -2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 0, 0, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 0, 0, 0, 2 ] 1 orbit #5 for G #orbits for (disconnected) Cent(O): 5 K_0 H mult root datum of Lie type 'D8' [ -1, -1, 1, 1, -1, 1, -1, 1 ] 1 root datum of Lie type 'D8' [ 0, 1, 0, 0, 0, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 1, -1, 1, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 1, 0, -1, 1, -1, 1, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 1, 0, 0, 0, 0, 0, 0 ] 1 orbit #6 for G #orbits for (disconnected) Cent(O): 6 K_0 H mult root datum of Lie type 'D8' [ 1, 0, 0, 0, 0, 0, 1, -1 ] 1 root datum of Lie type 'D8' [ -1, 0, 1, 0, 0, 0, 0, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 1, -1, 1, -1, 1, 1 ] 1 root datum of Lie type 'E7.A1' [ 1, 0, 0, 0, 0, 0, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, 0, 0, 0, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 0, 0, 0, 1 ] 1 orbit #7 for G #orbits for (disconnected) Cent(O): 5 K_0 H mult root datum of Lie type 'D8' [ 1, -1, -1, 1, 1, -1, 1, -1 ] 1 root datum of Lie type 'D8' [ 0, 0, 0, 0, 0, 1, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 1, -1, 1, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 1, -1, 1, -1, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 0, 1, 0, 0 ] 1 orbit #8 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ -1, 1, 1, -1, 1, -1, 3, -3 ] 1 root datum of Lie type 'D8' [ 1, 0, 0, 0, 0, 0, 2, -2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, 0, 0, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 0, 0, 0, 2 ] 1 orbit #9 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 1, 0, -1, 1, 0, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 2, 0, -1, 1, -1, 1, -1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 1, 0, 0, 0, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 1, 0, 0, 0, 0, 0 ] 1 orbit #10 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 0, 0, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 2, 0, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 2, 0, 0, 0, 0, 0, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 0, 0, 0, 0, 0 ] 1 orbit #11 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 1, 0, 0, 0, 0, 1, -1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, 1, -1, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, 0, 1, -1, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 0, 0, 1, 0 ] 1 orbit #12 for G #orbits for (disconnected) Cent(O): 6 K_0 H mult root datum of Lie type 'D8' [ 0, 1, 1, -1, 1, -1, 2, -2 ] 1 root datum of Lie type 'D8' [ 0, 0, 0, 0, 0, 1, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, -1, 1, 1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 1, -1, 1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 1, -1, 1, -1, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 0, 1, 0, 1 ] 1 orbit #13 for G #orbits for (disconnected) Cent(O): 5 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 0, 2, -2, 2, -2 ] 1 root datum of Lie type 'D8' [ 0, 0, 0, 0, 0, 0, 2, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 0, 0, 2, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 0, 2, -2, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 0, 0, 2, 0 ] 1 orbit #14 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 0, 2, -2, 4, -4 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 0, 2, -2, 4 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 0, 0, 2, 2 ] 1 orbit #15 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 1, 1, -1, 1, -1, 1, -1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 0, 1, 0, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 1, 0, 0, 0 ] 1 orbit #16 for G #orbits for (disconnected) Cent(O): 6 K_0 H mult root datum of Lie type 'D8' [ -1, 1, 1, -1, 1, 0, 1, -1 ] 1 root datum of Lie type 'D8' [ 1, 0, -1, 1, 0, 0, 1, -1 ] 1 root datum of Lie type 'D8' [ -1, -1, 1, 1, -1, 1, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 1, -1, 1, -1, 1, 0, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 1, 0, 0, 0, 0, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 1, 0, 0, 0, 0, 1 ] 1 orbit #17 for G #orbits for (disconnected) Cent(O): 6 K_0 H mult root datum of Lie type 'D8' [ 0, 1, 0, 0, 1, -1, 1, -1 ] 1 root datum of Lie type 'D8' [ 0, -1, 0, 1, 0, 0, 1, 0 ] 1 root datum of Lie type 'E7.A1' [ 1, 0, -1, 1, -1, 2, -1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 1, -1, 1, 1, -1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 1, 0, 0, 0, 0, 1, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 1, 0, 0, 0, 0, 1, 0 ] 1 orbit #18 for G #orbits for (disconnected) Cent(O): 6 K_0 H mult root datum of Lie type 'D8' [ 1, 1, 1, -1, 1, -1, 1, -1 ] 1 root datum of Lie type 'D8' [ -1, 0, 1, 0, 1, -1, 1, 0 ] 1 root datum of Lie type 'D8' [ 1, 0, 0, 0, 0, 1, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 2, -1, 1, -1, 1 ] 1 root datum of Lie type 'E7.A1' [ 1, 0, 0, 0, 0, 1, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 0, 1, 0, 0 ] 1 orbit #19 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 0, 0, 0, 2, -2 ] 1 root datum of Lie type 'D8' [ 2, 0, 0, 0, 0, 0, 0, 2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 2, 0, 0, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 0, 0, 0, 0, 2 ] 1 orbit #20 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 0, 1, 1, -1, 1, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 2, -1, 1, -1, 1, -1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 1, 0, 0, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 1, 0, 0, 0, 0 ] 1 orbit #21 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 0, 1, 0, 0, 1, -1, 3, -3 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 1, -1, 1, 1, -1, 3 ] 1 root datum of Lie type 'E7.A1' [ 1, 0, -1, 1, -1, 2, -1, 3 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 1, 0, 0, 0, 0, 1, 2 ] 1 orbit #22 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 0, 2, 0, 0, 0, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 2, 0, 0, 0, 0, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 2, 0, 0, 0, 0, 0, 0 ] 1 orbit #23 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 1, 0, 0, 0, 0, 1, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, 1, -1, 1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 2, -1, 1, -1, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 0, 1, 0, 1 ] 1 orbit #24 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 1, -1, 1, 1, -1, 1, -1, 1 ] 1 root datum of Lie type 'D8' [ 1, 0, 0, 0, 1, 0, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 1, 0, 0, 0 ] 1 orbit #25 for G #orbits for (disconnected) Cent(O): 5 K_0 H mult root datum of Lie type 'D8' [ 1, 1, 1, -1, 1, -1, 3, -3 ] 1 root datum of Lie type 'D8' [ -1, 0, 1, 0, 1, -1, 3, -2 ] 1 root datum of Lie type 'E7.A1' [ 1, 0, 0, 0, 0, 1, 0, 2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 2, -1, 1, -1, 3 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 0, 1, 0, 2 ] 1 orbit #26 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 1, 1, -1, 1, -1, 1, 1, -1 ] 1 root datum of Lie type 'D8' [ 0, 0, 0, 1, 0, 0, 0, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 1, 0, 0, 0, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 1, 0, 0, 0, 1 ] 1 orbit #27 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 0, 0, 2, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 2, -2, 2, -2, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 0, 2, 0, 0 ] 1 orbit #28 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 0, 0, 1, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -3, 3, -1, 1, 1, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 3, -1, 1, -1, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 0, 0, 1, 0, 1 ] 1 orbit #29 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 0, 1, 1, -1, 1, 0, 2, -2 ] 1 root datum of Lie type 'E7.A1' [ 0, 2, -1, 1, -1, 1, -1, 3 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 1, 0, 0, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 1, 0, 0, 0, 2 ] 1 orbit #30 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 0, 0, 1, 1, -1, 1, -1, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 1, 0, 0, 1, 0, 0 ] 1 orbit #31 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 0, 0, 0, 2, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 2, 0, 0, 2, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 2, 0, 2, -2, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 0, 0, 0, 2, 0 ] 1 orbit #32 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 0, 2, 0, 0, 0, 0, 2, -2 ] 1 root datum of Lie type 'E7.A1' [ 0, 2, 0, 0, 0, 0, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 2, 0, 0, 0, 0, 0, 2 ] 1 orbit #33 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 0, 2, -2, 4, -4 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 2, 0, 2, -2, 4 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 0, 0, 0, 2, 2 ] 1 orbit #34 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'D8' [ 1, -1, -1, 1, 1, 1, -1, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 1, 0, 0, 1, 0 ] 1 orbit #35 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 1, -1, 1, 1, -1, 1, 1, -1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 3, -2, 2, 0, 1 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 2, 0, 0, 0, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 1, 0, 0, 0, 1 ] 1 orbit #36 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'D8' [ -1, 1, 1, -1, 1, 1, 1, -1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 1, 0, 0, 1, 0, 1 ] 1 orbit #37 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 1, 1, -1, 1, 1, -1, 1, -1 ] 1 root datum of Lie type 'D8' [ 0, 1, 1, 0, 0, 0, 1, 0 ] 1 root datum of Lie type 'E7.A1' [ 1, 1, -2, 2, -2, 3, -1, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 1, 1, 0, 0, 0, 1, 0 ] 1 orbit #38 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 1, 0, 0, 1, -1, 1, 1, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 2, -1, 1, 1, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, 1, 1, -1, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 1, 0, 1, 0 ] 1 orbit #39 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 1, 1, -1, 1, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 3, -3, 3, -1, 1 ] 1 root datum of Lie type 'E7.A1' [ 1, 1, -1, 1, -1, 2, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 1, 0, 1, 0, 0 ] 1 orbit #40 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 1, 0, 0, 0, 2, -1, 3, -3 ] 1 root datum of Lie type 'E7.A1' [ 1, 1, -2, 2, -1, 2, -2, 4 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 1, 1, 1, -1, 3 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 0, 1, 0, 1, 2 ] 1 orbit #41 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 0, 2, 0, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 2, -2, 2, 0, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 2, 0, 0, 0 ] 1 orbit #42 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 0, 0, 2, 0, 0 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 4, -2, 2, -2, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 0, 0, 2, 0, 0 ] 1 orbit #43 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 1, 1, -1, 1, 1, -1, 3, -3 ] 1 root datum of Lie type 'E7.A1' [ 1, 1, -2, 2, -2, 3, -1, 3 ] 1 root datum of Lie type 'E7.A1' [ 1, 1, -1, 1, 0, 1, -1, 3 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 1, 1, 0, 0, 0, 1, 2 ] 1 orbit #44 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 1, 1, -1, 3, -2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -1, 3, -3, 3, -1, 3 ] 1 root datum of Lie type 'E7.A1' [ 1, 1, -1, 1, -1, 2, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 1, 0, 1, 0, 2 ] 1 orbit #45 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 0, 0, -1, 3, -1, 1, -1, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 1, 0, 1, 0, 0 ] 1 orbit #46 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 0, 0, 2, 0, 2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 4, -2, 2, -2, 4 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 0, 0, 2, 0, 2 ] 1 orbit #47 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 0, 2, 0, 2, -2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, 0, 2, -2, 2, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 0, 2, 0, 0, 2 ] 1 orbit #48 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 0, 0, -2, 4, -2, 4, -4, 6 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 0, 0, 2, 2, 2 ] 1 orbit #49 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 3, 1, -1, 1, 1, -1, 3, -3 ] 1 root datum of Lie type 'E7.A1' [ 1, 1, -4, 4, -2, 3, -1, 3 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 1, 1, 0, 0, 0, 1, 2 ] 1 orbit #50 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'D8' [ 1, 1, 1, -1, 1, 1, 1, -1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 1, 0, 1, 0, 1 ] 1 orbit #51 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 0, 0, -1, 3, -1, 1, -1, 3 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 1, 0, 1, 0, 2 ] 1 orbit #52 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'D8' [ 1, -1, 1, 1, -1, 3, -1, 1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 1, 0, 1, 1, 0 ] 1 orbit #53 for G #orbits for (disconnected) Cent(O): 4 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 1, 1, -1, 3, -2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -3, 5, -3, 3, -1, 3 ] 1 root datum of Lie type 'E7.A1' [ 1, 1, -3, 3, -1, 2, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 1, 0, 1, 0, 2 ] 1 orbit #54 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 2, 0, 0, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 2, 0, 0, 0, 2 ] 1 orbit #55 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 0, 0, -1, 3, -1, 3, -3, 5 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 1, 0, 0, 1, 0, 1, 2, 2 ] 1 orbit #56 for G #orbits for (disconnected) Cent(O): 3 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 0, 2, 0, 2, -2 ] 1 root datum of Lie type 'E7.A1' [ 0, 0, -2, 4, -2, 2, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 0, 2, 0, 0, 2 ] 1 orbit #57 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 2, 2, -3, 3, -3, 5, -3, 5 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 1, 1, 0, 1, 0, 2, 2 ] 1 orbit #58 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'D8' [ 0, 0, 0, 2, 0, 0, 2, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 2, 0, 0, 2, 0 ] 1 orbit #59 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'D8' [ 3, 1, -1, 1, 1, 1, 1, -1 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 1, 1, 0, 1, 1, 0, 1 ] 1 orbit #60 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 2, 2, -2, 2, -2, 4, -2, 4 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 0, 0, 0, 2, 0, 0, 2, 2 ] 1 orbit #61 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 2, 2, -5, 5, -3, 5, -3, 5 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 1, 1, 0, 1, 0, 2, 2 ] 1 orbit #62 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 2, 0, 0, 2, 0 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 2, 0, 0, 2, 0 ] 1 orbit #63 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 2, 2, -4, 4, -2, 4, -2, 4 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 2, 0, 0, 2, 2 ] 1 orbit #64 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 2, 2, -5, 7, -5, 7, -5, 7 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 1, 1, 0, 1, 2, 2, 2 ] 1 orbit #65 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'D8' [ 2, 0, 0, 2, 0, 2, 0, 2 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 2, 0, 2, 0, 2 ] 1 orbit #66 for G #orbits for (disconnected) Cent(O): 2 K_0 H mult root datum of Lie type 'E7.A1' [ 2, 2, -4, 6, -4, 6, -4, 6 ] 1 simply connected adjoint root datum of Lie type 'E8' [ 2, 0, 0, 2, 0, 2, 2, 2 ] 1 orbit #67 for G #orbits for (disconnected) Cent(O): 1 K_0 H mult simply connected adjoint root datum of Lie type 'E8' [ 2, 2, 2, 0, 2, 0, 2, 2 ] 1 orbit #68 for G #orbits for (disconnected) Cent(O): 1 K_0 H mult simply connected adjoint root datum of Lie type 'E8' [ 2, 2, 2, 0, 2, 2, 2, 2 ] 1 orbit #69 for G #orbits for (disconnected) Cent(O): 1 K_0 H mult simply connected adjoint root datum of Lie type 'E8' [ 2, 2, 2, 2, 2, 2, 2, 2 ] 1