[Overview]
Diagram:
2 | 1 - 3 - 4 - 5 - 6 - 7 - 8
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: all
Dimension: 1
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 1 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: all
Dimension: 248
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 3626
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 1 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 6 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 26 | 1 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 3875
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 1 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 7 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 35 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 7
Dimension: 23125
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
117 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 240 |
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 5 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 22 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 85 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 26504
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 6 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 28 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 104 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 31
Dimension: 26999
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
117 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 240 |
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 6 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 29 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 119 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,7,31
Dimension: 27000
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
117 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 240 |
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 6 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 29 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 120 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 30132
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 7 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 34 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 132 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 5
Dimension: 30132
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 7 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 34 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 132 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2,3,5
Dimension: 30380
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 7 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 35 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 140 | 1 |