[Overview]
Diagram:
1 < 2 - .. - 9
Highest weight: [ 0, 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, 0 ] | 1 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 18
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 18 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 2
Dimension: 19
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 1 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 152
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 144 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 171
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 9 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 19
Dimension: 188
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,19
Dimension: 189
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 9 | 1 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: all
Dimension: 512
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
46 | [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] | 1 | 512 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 780
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 6 | 18 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 969
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 9 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 1273
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 288 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 7 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: 7
Dimension: 1292
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
55 | [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 18 |
53 | [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 288 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,7
Dimension: 1311
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
55 | [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 18 |
53 | [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 288 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 9 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 9 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 1920
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 288 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 2 | 672 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 16 | 18 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 2,3
Dimension: 2261
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 288 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 2 | 672 |
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 2 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 17 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 17 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 2906
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
61 | [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 2016 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 6 | 144 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 26 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 3876
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
61 | [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 2016 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 7 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 36 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 6763
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
69 | [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 144 |
67 | [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 2016 |
61 | [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 2016 |
53 | [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 288 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 8 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 9 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 43 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 23
Dimension: 6936
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
73 | [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ] | 1 | 18 |
71 | [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ] | 1 | 288 |
69 | [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 144 |
67 | [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 2016 |
61 | [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 2016 |
55 | [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 18 |
53 | [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 288 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 8 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 8 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 36 | 1 |
Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 6972
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
71 | [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ] | 1 | 4032 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 4 | 672 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 14 | 18 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 7
Dimension: 7124
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
73 | [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ] | 1 | 18 |
71 | [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ] | 1 | 288 |
69 | [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 144 |
67 | [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 2016 |
61 | [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 2016 |
55 | [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 18 |
53 | [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 288 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 9 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 9 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 9 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 44 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,7,23
Dimension: 7125
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
73 | [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ] | 1 | 18 |
71 | [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ] | 1 | 288 |
69 | [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 144 |
67 | [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 2016 |
61 | [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 2016 |
55 | [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 18 |
53 | [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 288 |
49 | [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 672 |
37 | [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ] | 9 | 18 |
35 | [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ] | 9 | 144 |
19 | [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] | 9 | 18 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0, 0 ] | 45 | 1 |