[Overview]
Diagram:
2 | 1 - 3 - 4 - 5 - 6 - 7 - 8
Dimension | Highest weight | Characteristic |
---|---|---|
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | all |
248 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | all |
3626 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 2 |
3875 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | not 2 |
23125 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 7 |
26504 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 2 |
26999 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 31 |
27000 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | not 2, 7, 31 |
30132 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 3 |
30132 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 5 |
30380 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | not 2, 3, 5 |
113243 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 3 |
143376 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 2 |
147002 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 7 |
147250 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | not 2, 3, 7 |
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 |
Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 113243
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
137 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 1 | 17280 |
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 5 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 21 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 70 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 203 | 1 |
Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 143376
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
137 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 1 | 17280 |
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 6 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 28 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 104 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 336 | 1 |
Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 7
Dimension: 147002
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
137 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 1 | 17280 |
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 6 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 29 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 110 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 362 | 1 |
Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2,3,7
Dimension: 147250
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
137 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 1 | 17280 |
115 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 6 | 6720 |
93 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 29 | 2160 |
59 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 111 | 240 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 370 | 1 |