[Overview]
Diagram:
1 < 2 - .. - 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: 2
Dimension: 16
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 16 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 2
Dimension: 17
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 1 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 118
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 112 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 6 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 136
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 17
Dimension: 151
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 7 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,17
Dimension: 152
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: all
Dimension: 256
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
37 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 1 | 256 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 544
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 6 | 16 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 680
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 7 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: 19
Dimension: 935
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
49 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 7 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 7 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 935
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 7 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,19
Dimension: 952
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
49 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 1 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 1344
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 2 | 448 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 14 | 16 |
Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 1582
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 1120 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 4 | 112 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 14 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 2,3
Dimension: 1615
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 2 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 1 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 2 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 15 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 15 | 1 |
Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 2380
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 1120 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 6 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 7 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 28 | 1 |
Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 3808
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
61 | [ 0, 0, 0, 1, 0, 0, 0, 0 ] | 1 | 1792 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 4 | 448 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 14 | 16 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 17
Dimension: 3840
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 1, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 2048 |
37 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 7 | 256 |
Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 17
Dimension: 4096
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
53 | [ 1, 0, 0, 0, 0, 0, 0, 1 ] | 1 | 2048 |
37 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 256 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 4251
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
61 | [ 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 112 |
59 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 1120 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 6 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 7 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 6 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 27 | 1 |
Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 4488
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
67 | [ 0, 0, 1, 0, 0, 0, 0, 0 ] | 1 | 1792 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 2 | 1120 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 4 | 112 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 8 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 7
Dimension: 4540
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
65 | [ 0, 0, 0, 0, 0, 0, 0, 4 ] | 1 | 16 |
63 | [ 0, 0, 0, 0, 0, 0, 1, 2 ] | 1 | 224 |
61 | [ 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 112 |
59 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 1120 |
49 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 7 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 7 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 7 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 28 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 19
Dimension: 4691
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
65 | [ 0, 0, 0, 0, 0, 0, 0, 4 ] | 1 | 16 |
63 | [ 0, 0, 0, 0, 0, 0, 1, 2 ] | 1 | 224 |
61 | [ 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 112 |
59 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 1120 |
49 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 8 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 8 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 35 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,7,19
Dimension: 4692
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
65 | [ 0, 0, 0, 0, 0, 0, 0, 4 ] | 1 | 16 |
63 | [ 0, 0, 0, 0, 0, 0, 1, 2 ] | 1 | 224 |
61 | [ 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 112 |
59 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 1120 |
49 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 1 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 8 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 8 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 36 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 5066
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
59 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 2 | 1120 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 6 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 12 | 112 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 42 | 1 |
Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 6188
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
61 | [ 0, 0, 0, 1, 0, 0, 0, 0 ] | 1 | 1792 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 1 | 1120 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 5 | 448 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 6 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 21 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 28 | 1 |
Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 6528
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
71 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 1 | 1024 |
61 | [ 0, 0, 0, 1, 0, 0, 0, 0 ] | 2 | 1792 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 4 | 448 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 8 | 16 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 5
Dimension: 6631
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
61 | [ 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 112 |
59 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 2 | 1120 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 2 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 6 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 13 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 13 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 55 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,5
Dimension: 6783
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
61 | [ 0, 0, 0, 0, 0, 0, 2, 0 ] | 1 | 112 |
59 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 1 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 2 | 1120 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 2 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 7 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 14 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 14 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 63 | 1 |