Component groups of nilpotent orbits G=simply connected adjoint root datum of Lie type 'F4' Orbit #0 Component info for orbit: H=[ 0, 0, 0, 0 ] diagram:[0,0,0,0] dim:0 orders:[1] pseudo_Levi Generators e [[ 0, 0, 0, 0 ]/1] Orbit #1 Component info for orbit: H=[ 2, 3, 2, 1 ] diagram:[1,0,0,0] dim:16 orders:[1] pseudo_Levi Generators A1 [[ 0, 0, 0, 0 ]/1] Orbit #2 Component info for orbit: H=[ 2, 4, 3, 2 ] diagram:[0,0,0,1] dim:22 orders:[1,2] pseudo_Levi Generators A1 [[ 0, 0, 0, 0 ]/1] 2A1 [[ -2, -3, -2, -1 ]/2] Orbit #3 Component info for orbit: H=[ 3, 6, 4, 2 ] diagram:[0,1,0,0] dim:28 orders:[1] pseudo_Levi Generators 2A1 [[ 0, 0, 0, 0 ]/1] Orbit #4 Component info for orbit: H=[ 4, 6, 4, 2 ] diagram:[2,0,0,0] dim:30 orders:[1,2] pseudo_Levi Generators A2 [[ 0, 0, 0, 0 ]/1] 3A1 [[ -2, -3, -2, -1 ]/2] Orbit #5 Component info for orbit: H=[ 4, 8, 6, 4 ] diagram:[0,0,0,2] dim:30 orders:[1] pseudo_Levi Generators A2 [[ 0, 0, 0, 0 ]/1] Orbit #6 Component info for orbit: H=[ 4, 8, 6, 3 ] diagram:[0,0,1,0] dim:34 orders:[1] pseudo_Levi Generators A1+A2 [[ 0, 0, 0, 0 ]/1] Orbit #7 Component info for orbit: H=[ 6, 10, 7, 4 ] diagram:[2,0,0,1] dim:36 orders:[1,2] pseudo_Levi Generators B2 [[ 0, 0, 0, 0 ]/1] A3 [[ -4, -8, -6, -3 ]/4] Orbit #8 Component info for orbit: H=[ 5, 10, 7, 4 ] diagram:[0,1,0,1] dim:36 orders:[1] pseudo_Levi Generators A1+A2 [[ 0, 0, 0, 0 ]/1] Orbit #9 Component info for orbit: H=[ 6, 11, 8, 4 ] diagram:[1,0,1,0] dim:38 orders:[1,2] pseudo_Levi Generators A1+B2 [[ -2, -3, -2, -1 ]/2] C3 [[ 0, 0, 0, 0 ]/1] Orbit #10 Component info for orbit: H=[ 6, 12, 8, 4 ] diagram:[0,2,0,0] dim:40 orders:[1,2,2,3,4] pseudo_Levi Generators 2A2 [[ -3, -6, -4, -2 ]/3] A1+A3 [[ 0, 0, 1, 2 ]/4] A1+C3 [[ -2, -3, -2, -1 ]/2] B4 [[ -2, -4, -3, -2 ]/2] F4 [[ 0, 0, 0, 0 ]/1] Orbit #11 Component info for orbit: H=[ 10, 18, 12, 6 ] diagram:[2,2,0,0] dim:42 orders:[1] pseudo_Levi Generators B3 [[ 0, 0, 0, 0 ]/1] Orbit #12 Component info for orbit: H=[ 10, 19, 14, 8 ] diagram:[1,0,1,2] dim:42 orders:[1] pseudo_Levi Generators C3 [[ 0, 0, 0, 0 ]/1] Orbit #13 Component info for orbit: H=[ 10, 20, 14, 8 ] diagram:[0,2,0,2] dim:44 orders:[1,2] pseudo_Levi Generators A1+C3 [[ -2, -3, -2, -1 ]/2] F4 [[ 0, 0, 0, 0 ]/1] Orbit #14 Component info for orbit: H=[ 14, 26, 18, 10 ] diagram:[2,2,0,2] dim:46 orders:[1,2] pseudo_Levi Generators B4 [[ -2, -4, -3, -2 ]/2] F4 [[ 0, 0, 0, 0 ]/1] Orbit #15 Component info for orbit: H=[ 22, 42, 30, 16 ] diagram:[2,2,2,2] dim:48 orders:[1] pseudo_Levi Generators F4 [[ 0, 0, 0, 0 ]/1]