Component groups of nilpotent orbits G=adjoint 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=[ 1, 0, 0, 0, 0, 0, 0 ] 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=[ 0, 0, 0, 0, 0, 1, 0 ] 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=[ 0, 0, 0, 0, 0, 0, 2 ] diagram:[0,0,0,0,0,0,2] dim:54 orders:[1] pseudo_Levi Generators 3A1 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 0, 0, 1, 0, 0, 0, 0 ] 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=[ 2, 0, 0, 0, 0, 0, 0 ] 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 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] Component info for orbit: H=[ 0, 1, 0, 0, 0, 0, 1 ] diagram:[0,1,0,0,0,0,1] dim:70 orders:[1] pseudo_Levi Generators 4A1 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 1, 0, 0, 0, 0, 1, 0 ] 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 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] Component info for orbit: H=[ 0, 0, 0, 1, 0, 0, 0 ] 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=[ 2, 0, 0, 0, 0, 1, 0 ] 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=[ 0, 0, 0, 0, 0, 2, 0 ] 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=[ 0, 2, 0, 0, 0, 0, 0 ] diagram:[0,2,0,0,0,0,0] dim:84 orders:[1] pseudo_Levi Generators 3A1+A2 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 0, 0, 0, 0, 0, 2 ] diagram:[2,0,0,0,0,0,2] dim:86 orders:[1] pseudo_Levi Generators A1+A3 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 0, 0, 1, 0, 0, 1, 0 ] 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=[ 1, 0, 0, 1, 0, 0, 0 ] 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=[ 0, 0, 2, 0, 0, 0, 0 ] diagram:[0,0,2,0,0,0,0] dim:94 orders:[1,2,3] pseudo_Levi Generators 2A1+A3 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] 3A2 [[ 0, 0, -1, 0, 0, 0, 0 ]/3] D4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 1, 0, 0, 0, 1, 0, 1 ] diagram:[1,0,0,0,1,0,1] dim:94 orders:[1] pseudo_Levi Generators 2A1+A3 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 0, 2, 0, 0, 0, 0 ] 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=[ 0, 1, 1, 0, 0, 0, 1 ] diagram:[0,1,1,0,0,0,1] dim:96 orders:[1,2] pseudo_Levi Generators 3A1+A3 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] A1+D4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 0, 0, 0, 1, 0, 1, 0 ] 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 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] Component info for orbit: H=[ 2, 0, 0, 0, 0, 2, 0 ] 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 [[ 0, 0, 0, -1, 0, 0, 0 ]/4] Component info for orbit: H=[ 0, 0, 0, 0, 2, 0, 0 ] diagram:[0,0,0,0,2,0,0] dim:100 orders:[1] pseudo_Levi Generators A1+A2+A3 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 1, 1, 0, 0, 0, 1 ] diagram:[2,1,1,0,0,0,1] dim:102 orders:[1] pseudo_Levi Generators A1+D4 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 0, 0, 0, 0, 2, 2 ] diagram:[2,0,0,0,0,2,2] dim:102 orders:[1] pseudo_Levi Generators A5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 1, 0, 0, 1, 0, 1, 0 ] 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 [[ 3, 0, 0, 0, -2, 0, 0 ]/4] Component info for orbit: H=[ 2, 0, 0, 1, 0, 1, 0 ] diagram:[2,0,0,1,0,1,0] dim:106 orders:[1,2] pseudo_Levi Generators 2A1+D4 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] D5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 0, 0, 0, 2, 0, 0, 0 ] 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=[ 1, 0, 0, 1, 0, 2, 0 ] 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=[ 2, 0, 0, 0, 2, 0, 0 ] diagram:[2,0,0,0,2,0,0] dim:108 orders:[1] pseudo_Levi Generators A1+D5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 1, 0, 0, 1, 0, 1, 2 ] diagram:[1,0,0,1,0,1,2] dim:108 orders:[1] pseudo_Levi Generators A1+A5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 0, 0, 2, 0, 0, 2, 0 ] diagram:[0,0,2,0,0,2,0] dim:110 orders:[1,2] pseudo_Levi Generators A1+A5 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] E6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 0, 1, 1, 0, 1, 0, 2 ] diagram:[0,1,1,0,1,0,2] dim:110 orders:[1] pseudo_Levi Generators D6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 0, 2, 0, 0, 2, 0 ] 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=[ 0, 0, 0, 2, 0, 0, 2 ] diagram:[0,0,0,2,0,0,2] dim:112 orders:[1,2,3] pseudo_Levi Generators A2+A5 [[ 0, 0, -1, 0, 0, 0, 0 ]/3] A1+D6 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 1, 1, 0, 1, 1, 0 ] diagram:[2,1,1,0,1,1,0] dim:114 orders:[1] pseudo_Levi Generators A1+D5 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 0, 0, 0, 2, 0, 2, 0 ] 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=[ 2, 1, 1, 0, 1, 0, 2 ] diagram:[2,1,1,0,1,0,2] dim:114 orders:[1] pseudo_Levi Generators D6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 0, 0, 2, 0, 0, 2 ] diagram:[2,0,0,2,0,0,2] dim:116 orders:[1,2] pseudo_Levi Generators A1+D6 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 0, 0, 2, 0, 2, 0 ] diagram:[2,0,0,2,0,2,0] dim:118 orders:[1,2] pseudo_Levi Generators A7 [[ 0, -1, 0, 0, 0, 0, 0 ]/2] E6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 1, 1, 0, 1, 2, 2 ] diagram:[2,1,1,0,1,2,2] dim:118 orders:[1] pseudo_Levi Generators D6 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 0, 2, 2, 0, 2, 0 ] 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=[ 2, 0, 0, 2, 0, 2, 2 ] diagram:[2,0,0,2,0,2,2] dim:120 orders:[1,2] pseudo_Levi Generators A1+D6 [[ -1, 0, 0, 0, 0, 0, 0 ]/2] E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 2, 2, 0, 2, 0, 2 ] diagram:[2,2,2,0,2,0,2] dim:122 orders:[1] pseudo_Levi Generators E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 2, 2, 0, 2, 2, 2 ] diagram:[2,2,2,0,2,2,2] dim:124 orders:[1] pseudo_Levi Generators E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1] Component info for orbit: H=[ 2, 2, 2, 2, 2, 2, 2 ] diagram:[2,2,2,2,2,2,2] dim:126 orders:[1] pseudo_Levi Generators E7 [[ 0, 0, 0, 0, 0, 0, 0 ]/1]