[Overview]
Diagram:
1 < 2 - .. - 8
Dimension | Highest weight | Characteristic |
---|---|---|
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | all |
16 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 2 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | not 2 |
118 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 2 |
136 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | not 2 |
151 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 17 |
152 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | not 2, 17 |
256 | [ 1, 0, 0, 0, 0, 0, 0, 0 ] | all |
544 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 2 |
680 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | not 2 |
935 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | 19 |
935 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 3 |
952 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | not 2, 3, 19 |
1344 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 2 |
1582 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 2 |
1615 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | not 2, 3 |
2380 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | not 2 |
3808 | [ 0, 0, 0, 1, 0, 0, 0, 0 ] | 2 |
3840 | [ 1, 0, 0, 0, 0, 0, 0, 1 ] | 17 |
4096 | [ 1, 0, 0, 0, 0, 0, 0, 1 ] | not 17 |
4251 | [ 0, 0, 0, 0, 0, 0, 2, 0 ] | 3 |
4488 | [ 0, 0, 1, 0, 0, 0, 0, 0 ] | 2 |
4540 | [ 0, 0, 0, 0, 0, 0, 0, 4 ] | 7 |
4691 | [ 0, 0, 0, 0, 0, 0, 0, 4 ] | 19 |
4692 | [ 0, 0, 0, 0, 0, 0, 0, 4 ] | not 2, 3, 7, 19 |
5066 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 2 |
6188 | [ 0, 0, 0, 1, 0, 0, 0, 0 ] | not 2 |
6528 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 2 |
6631 | [ 0, 0, 0, 0, 0, 0, 2, 0 ] | 5 |
6783 | [ 0, 0, 0, 0, 0, 0, 2, 0 ] | not 2, 3, 5 |
8908 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 3 |
8908 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | 5 |
9044 | [ 0, 0, 0, 0, 0, 1, 0, 1 ] | not 2, 3, 5 |
11189 | [ 0, 0, 0, 0, 0, 0, 1, 2 ] | 17 |
11204 | [ 0, 0, 0, 0, 0, 0, 1, 2 ] | 19 |
11340 | [ 0, 0, 0, 0, 0, 0, 1, 2 ] | not 2, 17, 19 |
12376 | [ 0, 0, 1, 0, 0, 0, 0, 0 ] | not 2 |
16779 | [ 0, 0, 0, 0, 0, 1, 1, 0 ] | 3 |
18428 | [ 0, 0, 0, 0, 0, 0, 0, 5 ] | 23 |
19363 | [ 0, 0, 0, 0, 0, 0, 0, 5 ] | 7 |
19363 | [ 0, 0, 0, 0, 0, 0, 1, 3 ] | 5 |
19380 | [ 0, 0, 0, 0, 0, 0, 0, 5 ] | not 2, 3, 5, 7, 23 |
19448 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | not 2 |
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 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 3
Dimension: 8908
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 ] | 3 | 1120 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 3 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 7 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 19 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 20 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 76 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 5
Dimension: 8908
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 ] | 3 | 1120 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 3 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 7 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 19 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 20 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 76 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 9044
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 ] | 3 | 1120 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 1 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 3 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 7 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 20 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 21 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 84 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 17
Dimension: 11189
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
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 ] | 2 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 3 | 1120 |
49 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 2 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 3 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 14 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 21 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 21 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 85 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 19
Dimension: 11204
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
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 ] | 2 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 3 | 1120 |
49 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 2 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 3 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 15 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 21 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 21 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 84 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,17,19
Dimension: 11340
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
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 ] | 2 | 1344 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 3 | 1120 |
49 | [ 0, 0, 0, 0, 0, 0, 0, 3 ] | 1 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 2 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 3 | 448 |
33 | [ 0, 0, 0, 0, 0, 0, 0, 2 ] | 15 | 16 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 22 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 22 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 92 | 1 |
Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 12376
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
67 | [ 0, 0, 1, 0, 0, 0, 0, 0 ] | 1 | 1792 |
61 | [ 0, 0, 0, 1, 0, 0, 0, 0 ] | 1 | 1792 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 4 | 1120 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 5 | 448 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 15 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 21 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 56 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 16779
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
73 | [ 0, 0, 0, 0, 0, 1, 1, 0 ] | 1 | 1344 |
69 | [ 0, 0, 0, 0, 1, 0, 0, 1 ] | 1 | 4480 |
61 | [ 0, 0, 0, 1, 0, 0, 0, 0 ] | 1 | 1792 |
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 ] | 7 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 8 | 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 ] | 33 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 27 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 23
Dimension: 18428
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
81 | [ 0, 0, 0, 0, 0, 0, 0, 5 ] | 1 | 16 |
79 | [ 0, 0, 0, 0, 0, 0, 1, 3 ] | 1 | 224 |
77 | [ 0, 0, 0, 0, 0, 0, 2, 1 ] | 1 | 224 |
75 | [ 0, 0, 0, 0, 0, 1, 0, 2 ] | 1 | 1344 |
73 | [ 0, 0, 0, 0, 0, 1, 1, 0 ] | 1 | 1344 |
69 | [ 0, 0, 0, 0, 1, 0, 0, 1 ] | 1 | 4480 |
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, 1, 0, 0, 0, 0 ] | 1 | 1792 |
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 ] | 7 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 7 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 7 | 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 ] | 28 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 28 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 7
Dimension: 19363
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
81 | [ 0, 0, 0, 0, 0, 0, 0, 5 ] | 1 | 16 |
79 | [ 0, 0, 0, 0, 0, 0, 1, 3 ] | 1 | 224 |
77 | [ 0, 0, 0, 0, 0, 0, 2, 1 ] | 1 | 224 |
75 | [ 0, 0, 0, 0, 0, 1, 0, 2 ] | 1 | 1344 |
73 | [ 0, 0, 0, 0, 0, 1, 1, 0 ] | 1 | 1344 |
69 | [ 0, 0, 0, 0, 1, 0, 0, 1 ] | 1 | 4480 |
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, 1, 0, 0, 0, 0 ] | 1 | 1792 |
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 ] | 8 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 8 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 8 | 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 ] | 35 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 35 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 19363
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
79 | [ 0, 0, 0, 0, 0, 0, 1, 3 ] | 1 | 224 |
77 | [ 0, 0, 0, 0, 0, 0, 2, 1 ] | 1 | 224 |
75 | [ 0, 0, 0, 0, 0, 1, 0, 2 ] | 1 | 1344 |
73 | [ 0, 0, 0, 0, 0, 1, 1, 0 ] | 1 | 1344 |
69 | [ 0, 0, 0, 0, 1, 0, 0, 1 ] | 1 | 4480 |
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, 1, 0, 0, 0, 0 ] | 1 | 1792 |
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 ] | 8 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 8 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 8 | 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 ] | 36 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 35 | 1 |
Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5,7,23
Dimension: 19380
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
81 | [ 0, 0, 0, 0, 0, 0, 0, 5 ] | 1 | 16 |
79 | [ 0, 0, 0, 0, 0, 0, 1, 3 ] | 1 | 224 |
77 | [ 0, 0, 0, 0, 0, 0, 2, 1 ] | 1 | 224 |
75 | [ 0, 0, 0, 0, 0, 1, 0, 2 ] | 1 | 1344 |
73 | [ 0, 0, 0, 0, 0, 1, 1, 0 ] | 1 | 1344 |
69 | [ 0, 0, 0, 0, 1, 0, 0, 1 ] | 1 | 4480 |
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, 1, 0, 0, 0, 0 ] | 1 | 1792 |
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 ] | 8 | 16 |
47 | [ 0, 0, 0, 0, 0, 0, 1, 1 ] | 8 | 224 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 8 | 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 ] | 36 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 36 | 1 |
Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 19448
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
71 | [ 0, 1, 0, 0, 0, 0, 0, 0 ] | 1 | 1024 |
67 | [ 0, 0, 1, 0, 0, 0, 0, 0 ] | 1 | 1792 |
61 | [ 0, 0, 0, 1, 0, 0, 0, 0 ] | 3 | 1792 |
53 | [ 0, 0, 0, 0, 1, 0, 0, 0 ] | 4 | 1120 |
43 | [ 0, 0, 0, 0, 0, 1, 0, 0 ] | 10 | 448 |
31 | [ 0, 0, 0, 0, 0, 0, 1, 0 ] | 15 | 112 |
17 | [ 0, 0, 0, 0, 0, 0, 0, 1 ] | 35 | 16 |
1 | [ 0, 0, 0, 0, 0, 0, 0, 0 ] | 56 | 1 |