Component groups of nilpotent orbits G=simply connected root datum of Lie type 'E7' Component info for orbit: H=[ 0, 0, 0, 0, 0, 0, 0 ] diagram:[0,0,0,0,0,0,0] dim:0 orders:[1] pseudo_Levi Generators e [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 2, 3, 4, 3, 2, 1 ] diagram:[1,0,0,0,0,0,0] dim:34 orders:[1] pseudo_Levi Generators A1 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 3, 4, 6, 5, 4, 2 ] diagram:[0,0,0,0,0,1,0] dim:52 orders:[1] pseudo_Levi Generators 2A1 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 3, 4, 6, 5, 4, 3 ] diagram:[0,0,0,0,0,0,2] dim:54 orders:[1,2] pseudo_Levi Generators 3A1 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 3, 4, 6, 8, 6, 4, 2 ] diagram:[0,0,1,0,0,0,0] dim:64 orders:[1] pseudo_Levi Generators 3A1 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 4, 4, 6, 8, 6, 4, 2 ] diagram:[2,0,0,0,0,0,0] dim:66 orders:[1,2] pseudo_Levi Generators A2 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] 4A1 [[ -2, -2, -3, -4, -3, -2, -1 ]/2] Component info for orbit: H=[ 3, 5, 6, 9, 7, 5, 3 ] diagram:[0,1,0,0,0,0,1] dim:70 orders:[1,2] pseudo_Levi Generators 4A1 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 4, 5, 7, 10, 8, 6, 3 ] diagram:[1,0,0,0,0,1,0] dim:76 orders:[1,2] pseudo_Levi Generators A1+A2 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] 5A1 [[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 4, 6, 8, 12, 9, 6, 3 ] diagram:[0,0,0,1,0,0,0] dim:82 orders:[1] pseudo_Levi Generators 2A1+A2 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 6, 7, 10, 14, 11, 8, 4 ] diagram:[2,0,0,0,0,1,0] dim:84 orders:[1] pseudo_Levi Generators A3 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 4, 6, 8, 12, 10, 8, 4 ] diagram:[0,0,0,0,0,2,0] dim:84 orders:[1] pseudo_Levi Generators 2A2 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 4, 7, 8, 12, 9, 6, 3 ] diagram:[0,2,0,0,0,0,0] dim:84 orders:[1,2] pseudo_Levi Generators 3A1+A2 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 6, 7, 10, 14, 11, 8, 5 ] diagram:[2,0,0,0,0,0,2] dim:86 orders:[1,2] pseudo_Levi Generators A1+A3 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 5, 7, 10, 14, 11, 8, 4 ] diagram:[0,0,1,0,0,1,0] dim:90 orders:[1] pseudo_Levi Generators A1+2A2 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 6, 8, 11, 16, 12, 8, 4 ] diagram:[1,0,0,1,0,0,0] dim:92 orders:[1] pseudo_Levi Generators A1+A3 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 6, 8, 12, 16, 12, 8, 4 ] diagram:[0,0,2,0,0,0,0] dim:94 orders:[1,2,3] pseudo_Levi Generators 2A1+A3 [[ -2, -2, -3, -4, -3, -2, -1 ]/2] 3A2 [[ -3, -4, -6, -8, -6, -4, -2 ]/3] D4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 6, 8, 11, 16, 13, 9, 5 ] diagram:[1,0,0,0,1,0,1] dim:94 orders:[1,2] pseudo_Levi Generators 2A1+A3 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 10, 12, 18, 24, 18, 12, 6 ] diagram:[2,0,2,0,0,0,0] dim:96 orders:[1] pseudo_Levi Generators D4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 6, 9, 12, 17, 13, 9, 5 ] diagram:[0,1,1,0,0,0,1] dim:96 orders:[1,2,2,2] pseudo_Levi Generators 3A1+A3 [[ 0, 0, 0, 0, 1, 2, 3 ]/4,[ -2, -2, -3, -4, -3, -2, -1 ]/2] A1+D4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 6, 9, 12, 18, 14, 10, 5 ] diagram:[0,0,0,1,0,1,0] dim:98 orders:[1,2] pseudo_Levi Generators A2+A3 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] 2A1+D4 [[ -2, -2, -3, -4, -3, -2, -1 ]/2] Component info for orbit: H=[ 8, 10, 14, 20, 16, 12, 6 ] diagram:[2,0,0,0,0,2,0] dim:100 orders:[1,2] pseudo_Levi Generators A4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] 2A3 [[ -4, -6, -8, -12, -9, -6, -3 ]/4] Component info for orbit: H=[ 6, 9, 12, 18, 15, 10, 5 ] diagram:[0,0,0,0,2,0,0] dim:100 orders:[1,2] pseudo_Levi Generators A1+A2+A3 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 1, 2, 3 ]/4] Component info for orbit: H=[ 10, 13, 18, 25, 19, 13, 7 ] diagram:[2,1,1,0,0,0,1] dim:102 orders:[1,2] pseudo_Levi Generators A1+D4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 10, 13, 18, 26, 21, 16, 9 ] diagram:[2,0,0,0,0,2,2] dim:102 orders:[1,2] pseudo_Levi Generators A5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 1, 0, 2, 3, 4, 5 ]/6] Component info for orbit: H=[ 8, 11, 15, 22, 17, 12, 6 ] diagram:[1,0,0,1,0,1,0] dim:104 orders:[1,2] pseudo_Levi Generators A1+A4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] A1+2A3 [[ 0, -3, -3, -6, -6, -4, -2 ]/4] Component info for orbit: H=[ 10, 13, 18, 26, 20, 14, 7 ] diagram:[2,0,0,1,0,1,0] dim:106 orders:[1,2] pseudo_Levi Generators 2A1+D4 [[ -2, -2, -3, -4, -3, -2, -1 ]/2] D5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 8, 12, 16, 24, 18, 12, 6 ] diagram:[0,0,0,2,0,0,0] dim:106 orders:[1] pseudo_Levi Generators A2+A4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 10, 14, 19, 28, 22, 16, 8 ] diagram:[1,0,0,1,0,2,0] dim:108 orders:[1] pseudo_Levi Generators A5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 10, 13, 18, 26, 21, 14, 7 ] diagram:[2,0,0,0,2,0,0] dim:108 orders:[1,2] pseudo_Levi Generators A1+D5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 10, 14, 19, 28, 22, 16, 9 ] diagram:[1,0,0,1,0,1,2] dim:108 orders:[1,2] pseudo_Levi Generators A1+A5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 1, 0, 2, 3, 4, 5 ]/6] Component info for orbit: H=[ 10, 14, 20, 28, 22, 16, 8 ] diagram:[0,0,2,0,0,2,0] dim:110 orders:[1,2] pseudo_Levi Generators A1+A5 [[ -2, -2, -3, -4, -3, -2, -1 ]/2] E6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 10, 15, 20, 29, 23, 16, 9 ] diagram:[0,1,1,0,1,0,2] dim:110 orders:[1,2] pseudo_Levi Generators D6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 1, 1, 2, 2, 2, 2 ]/2] Component info for orbit: H=[ 14, 18, 26, 36, 28, 20, 10 ] diagram:[2,0,2,0,0,2,0] dim:112 orders:[1] pseudo_Levi Generators D5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 10, 15, 20, 30, 23, 16, 9 ] diagram:[0,0,0,2,0,0,2] dim:112 orders:[1,2,2,2,3,6] pseudo_Levi Generators A2+A5 [[ -3, -4, -6, -8, -6, -4, -2 ]/3,[ 0, 1, 0, 2, 3, 4, 5 ]/6] A1+D6 [[ 0, 1, 1, 2, 2, 2, 2 ]/2,[ -2, -2, -3, -4, -3, -2, -1 ]/2] E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 2, 3, 4, 6, 5, 4, 3 ]/2] Component info for orbit: H=[ 14, 19, 26, 37, 29, 20, 10 ] diagram:[2,1,1,0,1,1,0] dim:114 orders:[1,2] pseudo_Levi Generators A1+D5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 0, 0, 0, 0, 0, 1 ]/2] Component info for orbit: H=[ 12, 18, 24, 36, 28, 20, 10 ] diagram:[0,0,0,2,0,2,0] dim:114 orders:[1] pseudo_Levi Generators A6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 14, 19, 26, 37, 29, 20, 11 ] diagram:[2,1,1,0,1,0,2] dim:114 orders:[1,2] pseudo_Levi Generators D6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 1, 1, 2, 2, 2, 2 ]/2] Component info for orbit: H=[ 14, 19, 26, 38, 29, 20, 11 ] diagram:[2,0,0,2,0,0,2] dim:116 orders:[1,2,2,2] pseudo_Levi Generators A1+D6 [[ 0, 1, 1, 2, 2, 2, 2 ]/2,[ -2, -2, -3, -4, -3, -2, -1 ]/2] E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 2, 3, 4, 6, 5, 4, 3 ]/2] Component info for orbit: H=[ 16, 22, 30, 44, 34, 24, 12 ] diagram:[2,0,0,2,0,2,0] dim:118 orders:[1,2] pseudo_Levi Generators A7 [[ -4, -7, -8, -12, -9, -6, -3 ]/4] E6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 18, 25, 34, 49, 39, 28, 15 ] diagram:[2,1,1,0,1,2,2] dim:118 orders:[1,2] pseudo_Levi Generators D6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 0, 1, 1, 2, 2, 2, 2 ]/2] Component info for orbit: H=[ 22, 30, 42, 60, 46, 32, 16 ] diagram:[2,0,2,2,0,2,0] dim:120 orders:[1] pseudo_Levi Generators E6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 18, 25, 34, 50, 39, 28, 15 ] diagram:[2,0,0,2,0,2,2] dim:120 orders:[1,2,2,2] pseudo_Levi Generators A1+D6 [[ 0, 1, 1, 2, 2, 2, 2 ]/2,[ -2, -2, -3, -4, -3, -2, -1 ]/2] E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 2, 3, 4, 6, 5, 4, 3 ]/2] Component info for orbit: H=[ 22, 31, 42, 60, 47, 32, 17 ] diagram:[2,2,2,0,2,0,2] dim:122 orders:[1,2] pseudo_Levi Generators E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 2, 3, 4, 6, 5, 4, 3 ]/2] Component info for orbit: H=[ 26, 37, 50, 72, 57, 40, 21 ] diagram:[2,2,2,0,2,2,2] dim:124 orders:[1,2] pseudo_Levi Generators E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 2, 3, 4, 6, 5, 4, 3 ]/2] Component info for orbit: H=[ 34, 49, 66, 96, 75, 52, 27 ] diagram:[2,2,2,2,2,2,2] dim:126 orders:[1,2] pseudo_Levi Generators E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1,[ 2, 3, 4, 6, 5, 4, 3 ]/2]