[Overview]
Diagram:
1 < 2 - .. - 7
Highest weight: [ 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 ] | 1 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 14
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 1 | 14 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 2
Dimension: 15
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 1 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 1 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 90
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 1 | 84 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 6 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 105
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 1 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 1 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 7 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 118
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 1 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 1 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 1 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 6 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 5
Dimension: 118
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 1 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 1 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 1 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 6 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,3,5
Dimension: 119
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 1 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 1 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 1 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 7 | 1 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: all
Dimension: 128
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
29 | [ 1, 0, 0, 0, 0, 0, 0 ] | 1 | 128 |
Highest weight: [ 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 336
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 4 | 14 |
Highest weight: [ 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 455
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 1 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 6 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 7 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: 17
Dimension: 650
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
43 | [ 0, 0, 0, 0, 0, 0, 3 ] | 1 | 14 |
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 1 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 1 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 6 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 6 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 650
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 1 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 1 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 7 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 6 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,17
Dimension: 665
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
43 | [ 0, 0, 0, 0, 0, 0, 3 ] | 1 | 14 |
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 1 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 1 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 7 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 7 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 896
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 2 | 280 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 12 | 14 |
Highest weight: [ 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 910
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 1 | 560 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 4 | 84 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 14 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 7
Dimension: 1090
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 2 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 1 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 2 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 12 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 12 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 2,3,7
Dimension: 1105
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 2 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 1 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 2 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 13 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 13 | 1 |
Highest weight: [ 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 1288
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
51 | [ 0, 0, 1, 0, 0, 0, 0 ] | 1 | 672 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 2 | 280 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 4 | 14 |
Highest weight: [ 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 1365
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 1 | 560 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 5 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 6 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 21 | 1 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 1664
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
43 | [ 1, 0, 0, 0, 0, 0, 1 ] | 1 | 896 |
29 | [ 1, 0, 0, 0, 0, 0, 0 ] | 6 | 128 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: 5
Dimension: 1664
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
43 | [ 1, 0, 0, 0, 0, 0, 1 ] | 1 | 896 |
29 | [ 1, 0, 0, 0, 0, 0, 0 ] | 6 | 128 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 3,5
Dimension: 1792
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
43 | [ 1, 0, 0, 0, 0, 0, 1 ] | 1 | 896 |
29 | [ 1, 0, 0, 0, 0, 0, 0 ] | 7 | 128 |
Highest weight: [ 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 1912
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
55 | [ 0, 1, 0, 0, 0, 0, 0 ] | 1 | 448 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 2 | 560 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 4 | 84 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 2715
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 0, 0, 0, 0, 0, 2, 0 ] | 1 | 84 |
51 | [ 0, 0, 0, 0, 1, 0, 1 ] | 1 | 840 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 1 | 560 |
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 6 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 7 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 6 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 27 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 19
Dimension: 2821
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
57 | [ 0, 0, 0, 0, 0, 0, 4 ] | 1 | 14 |
55 | [ 0, 0, 0, 0, 0, 1, 2 ] | 1 | 168 |
53 | [ 0, 0, 0, 0, 0, 2, 0 ] | 1 | 84 |
51 | [ 0, 0, 0, 0, 1, 0, 1 ] | 1 | 840 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 1 | 560 |
43 | [ 0, 0, 0, 0, 0, 0, 3 ] | 1 | 14 |
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 6 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 6 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 6 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 21 | 1 |
Highest weight: [ 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 2884
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
51 | [ 0, 0, 0, 0, 1, 0, 1 ] | 1 | 840 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 2 | 560 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 4 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 10 | 84 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 28 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 17
Dimension: 2939
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
57 | [ 0, 0, 0, 0, 0, 0, 4 ] | 1 | 14 |
55 | [ 0, 0, 0, 0, 0, 1, 2 ] | 1 | 168 |
53 | [ 0, 0, 0, 0, 0, 2, 0 ] | 1 | 84 |
51 | [ 0, 0, 0, 0, 1, 0, 1 ] | 1 | 840 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 1 | 560 |
43 | [ 0, 0, 0, 0, 0, 0, 3 ] | 1 | 14 |
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 7 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 7 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 7 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 27 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,17,19
Dimension: 2940
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
57 | [ 0, 0, 0, 0, 0, 0, 4 ] | 1 | 14 |
55 | [ 0, 0, 0, 0, 0, 1, 2 ] | 1 | 168 |
53 | [ 0, 0, 0, 0, 0, 2, 0 ] | 1 | 84 |
51 | [ 0, 0, 0, 0, 1, 0, 1 ] | 1 | 840 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 1 | 560 |
43 | [ 0, 0, 0, 0, 0, 0, 3 ] | 1 | 14 |
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 1 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 7 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 7 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 7 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 28 | 1 |
Highest weight: [ 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 3003
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
51 | [ 0, 0, 1, 0, 0, 0, 0 ] | 1 | 672 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 1 | 560 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 4 | 280 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 5 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 15 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 21 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 13
Dimension: 3961
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 0, 0, 0, 0, 0, 2, 0 ] | 1 | 84 |
51 | [ 0, 0, 0, 0, 1, 0, 1 ] | 1 | 840 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 2 | 560 |
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 2 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 5 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 11 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 11 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 41 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 7
Dimension: 4079
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 0, 0, 0, 0, 0, 2, 0 ] | 1 | 84 |
51 | [ 0, 0, 0, 0, 1, 0, 1 ] | 1 | 840 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 2 | 560 |
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 2 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 6 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 12 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 12 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 47 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,7,13
Dimension: 4080
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 0, 0, 0, 0, 0, 2, 0 ] | 1 | 84 |
51 | [ 0, 0, 0, 0, 1, 0, 1 ] | 1 | 840 |
45 | [ 0, 0, 0, 1, 0, 0, 0 ] | 2 | 560 |
41 | [ 0, 0, 0, 0, 0, 1, 1 ] | 1 | 168 |
37 | [ 0, 0, 0, 0, 1, 0, 0 ] | 2 | 280 |
29 | [ 0, 0, 0, 0, 0, 0, 2 ] | 6 | 14 |
27 | [ 0, 0, 0, 0, 0, 1, 0 ] | 12 | 84 |
15 | [ 0, 0, 0, 0, 0, 0, 1 ] | 12 | 14 |
1 | [ 0, 0, 0, 0, 0, 0, 0 ] | 48 | 1 |