Component groups of nilpotent orbits
G=adjoint root datum of Lie type 'E6'

Component info for orbit:
H=[ 0, 0, 0, 0, 0, 0 ] diagram:[0,0,0,0,0,0] dim:0
orders:[1]
pseudo_Levi  Generators
e            [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 0, 1, 0, 0, 0, 0 ] diagram:[0,1,0,0,0,0] dim:22
orders:[1]
pseudo_Levi  Generators
A1           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 1, 0, 0, 0, 0, 1 ] diagram:[1,0,0,0,0,1] dim:32
orders:[1]
pseudo_Levi  Generators
2A1          [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 0, 0, 0, 1, 0, 0 ] diagram:[0,0,0,1,0,0] dim:40
orders:[1]
pseudo_Levi  Generators
3A1          [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 0, 2, 0, 0, 0, 0 ] diagram:[0,2,0,0,0,0] dim:42
orders:[1,2]
pseudo_Levi  Generators
A2           [[ 0, 0, 0, 0, 0, 0 ]/1]
4A1          [[  0, -1,  0,  0,  0,  0 ]/2]

Component info for orbit:
H=[ 1, 1, 0, 0, 0, 1 ] diagram:[1,1,0,0,0,1] dim:46
orders:[1]
pseudo_Levi  Generators
A1+A2        [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 0, 0, 0, 0, 2 ] diagram:[2,0,0,0,0,2] dim:48
orders:[1]
pseudo_Levi  Generators
2A2          [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 0, 0, 1, 0, 1, 0 ] diagram:[0,0,1,0,1,0] dim:50
orders:[1]
pseudo_Levi  Generators
2A1+A2       [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 1, 2, 0, 0, 0, 1 ] diagram:[1,2,0,0,0,1] dim:52
orders:[1]
pseudo_Levi  Generators
A3           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 1, 0, 0, 1, 0, 1 ] diagram:[1,0,0,1,0,1] dim:54
orders:[1]
pseudo_Levi  Generators
A1+2A2       [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 0, 1, 1, 0, 1, 0 ] diagram:[0,1,1,0,1,0] dim:56
orders:[1]
pseudo_Levi  Generators
A1+A3        [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 0, 0, 0, 2, 0, 0 ] diagram:[0,0,0,2,0,0] dim:58
orders:[1,2,3]
pseudo_Levi  Generators
2A1+A3       [[  0,  0, -1,  0, -1,  0 ]/4]
3A2          [[  0,  0,  0, -1,  0,  0 ]/3]
D4           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 2, 0, 0, 0, 2 ] diagram:[2,2,0,0,0,2] dim:60
orders:[1]
pseudo_Levi  Generators
A4           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 0, 2, 0, 2, 0, 0 ] diagram:[0,2,0,2,0,0] dim:60
orders:[1]
pseudo_Levi  Generators
D4           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 1, 1, 1, 0, 1, 1 ] diagram:[1,1,1,0,1,1] dim:62
orders:[1]
pseudo_Levi  Generators
A1+A4        [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 1, 2, 1, 0, 1, 1 ] diagram:[1,2,1,0,1,1] dim:64
orders:[1]
pseudo_Levi  Generators
D5           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 1, 1, 0, 1, 2 ] diagram:[2,1,1,0,1,2] dim:64
orders:[1]
pseudo_Levi  Generators
A5           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 0, 0, 2, 0, 2 ] diagram:[2,0,0,2,0,2] dim:66
orders:[1,2]
pseudo_Levi  Generators
A1+A5        [[  0,  0, -1,  0,  0,  0 ]/2]
E6           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 2, 0, 2, 0, 2 ] diagram:[2,2,0,2,0,2] dim:68
orders:[1]
pseudo_Levi  Generators
D5           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 2, 2, 0, 2, 2 ] diagram:[2,2,2,0,2,2] dim:70
orders:[1]
pseudo_Levi  Generators
E6           [[ 0, 0, 0, 0, 0, 0 ]/1]

Component info for orbit:
H=[ 2, 2, 2, 2, 2, 2 ] diagram:[2,2,2,2,2,2] dim:72
orders:[1]
pseudo_Levi  Generators
E6           [[ 0, 0, 0, 0, 0, 0 ]/1]