[Overview]
Diagram:
1 \ 3 - 4 / 2
Dimension | Highest weight | Characteristic |
---|---|---|
1 | [ 0, 0, 0, 0 ] | 3 |
8 | [ 0, 0, 0, 1 ] | 3 |
28 | [ 0, 0, 1, 0 ] | 3 |
35 | [ 0, 0, 0, 2 ] | 3 |
56 | [ 0, 1, 0, 1 ] | 3 |
104 | [ 0, 0, 1, 1 ] | 3 |
224 | [ 0, 1, 0, 2 ] | 3 |
195 | [ 0, 0, 2, 0 ] | 3 |
322 | [ 1, 1, 0, 1 ] | 3 |
567 | [ 0, 0, 1, 2 ] | 3 |
384 | [ 0, 1, 1, 1 ] | 3 |
518 | [ 0, 2, 0, 2 ] | 3 |
1296 | [ 1, 1, 0, 2 ] | 3 |
1176 | [ 0, 0, 2, 1 ] | 3 |
1896 | [ 0, 1, 1, 2 ] | 3 |
1841 | [ 1, 1, 1, 1 ] | 3 |
3948 | [ 0, 0, 2, 2 ] | 3 |
3240 | [ 1, 2, 0, 2 ] | 3 |
4768 | [ 0, 1, 2, 1 ] | 3 |
8343 | [ 0, 2, 1, 2 ] | 3 |
7600 | [ 1, 1, 1, 2 ] | 3 |
8132 | [ 2, 2, 0, 2 ] | 3 |
18144 | [ 0, 1, 2, 2 ] | 3 |
13776 | [ 1, 1, 2, 1 ] | 3 |
24240 | [ 1, 2, 1, 2 ] | 3 |
43254 | [ 0, 2, 2, 2 ] | 3 |
58920 | [ 1, 1, 2, 2 ] | 3 |
96753 | [ 2, 2, 1, 2 ] | 3 |
196344 | [ 1, 2, 2, 2 ] | 3 |
531441 | [ 2, 2, 2, 2 ] | 3 |
Highest weight: [ 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 1
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
1 | [ 0, 0, 0, 0 ] | 1 | 1 |
Highest weight: [ 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 8
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
7 | [ 0, 0, 0, 1 ] | 1 | 8 |
Highest weight: [ 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 28
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
11 | [ 0, 0, 1, 0 ] | 1 | 24 |
1 | [ 0, 0, 0, 0 ] | 4 | 1 |
Highest weight: [ 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 35
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
13 | [ 0, 0, 0, 2 ] | 1 | 8 |
11 | [ 0, 0, 1, 0 ] | 1 | 24 |
1 | [ 0, 0, 0, 0 ] | 3 | 1 |
Highest weight: [ 0, 1, 0, 1 ]
Characteristic: 3
Dimension: 56
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
13 | [ 0, 1, 0, 1 ] | 1 | 32 |
7 | [ 1, 0, 0, 0 ] | 3 | 8 |
Highest weight: [ 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 104
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
17 | [ 0, 0, 1, 1 ] | 1 | 48 |
13 | [ 1, 1, 0, 0 ] | 1 | 32 |
7 | [ 0, 0, 0, 1 ] | 3 | 8 |
Highest weight: [ 0, 1, 0, 2 ]
Characteristic: 3
Dimension: 224
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
19 | [ 0, 1, 0, 2 ] | 1 | 32 |
17 | [ 0, 1, 1, 0 ] | 1 | 48 |
13 | [ 1, 0, 0, 1 ] | 3 | 32 |
7 | [ 0, 1, 0, 0 ] | 6 | 8 |
Highest weight: [ 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 195
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
21 | [ 0, 0, 2, 0 ] | 1 | 24 |
19 | [ 1, 1, 0, 1 ] | 1 | 96 |
13 | [ 2, 0, 0, 0 ] | 1 | 8 |
13 | [ 0, 2, 0, 0 ] | 1 | 8 |
13 | [ 0, 0, 0, 2 ] | 1 | 8 |
11 | [ 0, 0, 1, 0 ] | 2 | 24 |
1 | [ 0, 0, 0, 0 ] | 3 | 1 |
Highest weight: [ 1, 1, 0, 1 ]
Characteristic: 3
Dimension: 322
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
19 | [ 1, 1, 0, 1 ] | 1 | 96 |
13 | [ 2, 0, 0, 0 ] | 3 | 8 |
13 | [ 0, 2, 0, 0 ] | 3 | 8 |
13 | [ 0, 0, 0, 2 ] | 3 | 8 |
11 | [ 0, 0, 1, 0 ] | 6 | 24 |
1 | [ 0, 0, 0, 0 ] | 10 | 1 |
Highest weight: [ 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 567
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
23 | [ 0, 0, 1, 2 ] | 1 | 48 |
21 | [ 0, 0, 2, 0 ] | 1 | 24 |
19 | [ 1, 1, 0, 1 ] | 2 | 96 |
13 | [ 2, 0, 0, 0 ] | 3 | 8 |
13 | [ 0, 2, 0, 0 ] | 3 | 8 |
13 | [ 0, 0, 0, 2 ] | 6 | 8 |
11 | [ 0, 0, 1, 0 ] | 8 | 24 |
1 | [ 0, 0, 0, 0 ] | 15 | 1 |
Highest weight: [ 0, 1, 1, 1 ]
Characteristic: 3
Dimension: 384
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
23 | [ 0, 1, 1, 1 ] | 1 | 96 |
19 | [ 1, 2, 0, 0 ] | 1 | 32 |
19 | [ 1, 0, 0, 2 ] | 1 | 32 |
17 | [ 1, 0, 1, 0 ] | 2 | 48 |
13 | [ 0, 1, 0, 1 ] | 3 | 32 |
7 | [ 1, 0, 0, 0 ] | 4 | 8 |
Highest weight: [ 0, 2, 0, 2 ]
Characteristic: 3
Dimension: 518
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
25 | [ 0, 2, 0, 2 ] | 1 | 32 |
23 | [ 0, 2, 1, 0 ] | 1 | 48 |
23 | [ 0, 0, 1, 2 ] | 1 | 48 |
21 | [ 0, 0, 2, 0 ] | 1 | 24 |
19 | [ 1, 1, 0, 1 ] | 2 | 96 |
13 | [ 2, 0, 0, 0 ] | 3 | 8 |
13 | [ 0, 2, 0, 0 ] | 3 | 8 |
13 | [ 0, 0, 0, 2 ] | 3 | 8 |
11 | [ 0, 0, 1, 0 ] | 4 | 24 |
1 | [ 0, 0, 0, 0 ] | 6 | 1 |
Highest weight: [ 1, 1, 0, 2 ]
Characteristic: 3
Dimension: 1296
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
25 | [ 1, 1, 0, 2 ] | 1 | 96 |
23 | [ 1, 1, 1, 0 ] | 1 | 96 |
19 | [ 2, 0, 0, 1 ] | 3 | 32 |
19 | [ 0, 2, 0, 1 ] | 3 | 32 |
19 | [ 0, 0, 0, 3 ] | 3 | 8 |
17 | [ 0, 0, 1, 1 ] | 7 | 48 |
13 | [ 1, 1, 0, 0 ] | 12 | 32 |
7 | [ 0, 0, 0, 1 ] | 21 | 8 |
Highest weight: [ 0, 0, 2, 1 ]
Characteristic: 3
Dimension: 1176
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
27 | [ 0, 0, 2, 1 ] | 1 | 48 |
25 | [ 1, 1, 0, 2 ] | 1 | 96 |
23 | [ 1, 1, 1, 0 ] | 2 | 96 |
19 | [ 2, 0, 0, 1 ] | 3 | 32 |
19 | [ 0, 2, 0, 1 ] | 3 | 32 |
19 | [ 0, 0, 0, 3 ] | 1 | 8 |
17 | [ 0, 0, 1, 1 ] | 6 | 48 |
13 | [ 1, 1, 0, 0 ] | 8 | 32 |
7 | [ 0, 0, 0, 1 ] | 12 | 8 |
Highest weight: [ 0, 1, 1, 2 ]
Characteristic: 3
Dimension: 1896
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
29 | [ 0, 1, 1, 2 ] | 1 | 96 |
27 | [ 0, 1, 2, 0 ] | 1 | 48 |
25 | [ 1, 2, 0, 1 ] | 2 | 96 |
25 | [ 1, 0, 0, 3 ] | 1 | 32 |
23 | [ 1, 0, 1, 1 ] | 3 | 96 |
19 | [ 2, 1, 0, 0 ] | 4 | 32 |
19 | [ 0, 3, 0, 0 ] | 3 | 8 |
19 | [ 0, 1, 0, 2 ] | 6 | 32 |
17 | [ 0, 1, 1, 0 ] | 8 | 48 |
13 | [ 1, 0, 0, 1 ] | 12 | 32 |
7 | [ 0, 1, 0, 0 ] | 16 | 8 |
Highest weight: [ 1, 1, 1, 1 ]
Characteristic: 3
Dimension: 1841
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
29 | [ 1, 1, 1, 1 ] | 1 | 192 |
25 | [ 2, 2, 0, 0 ] | 1 | 32 |
25 | [ 2, 0, 0, 2 ] | 1 | 32 |
25 | [ 0, 2, 0, 2 ] | 1 | 32 |
23 | [ 2, 0, 1, 0 ] | 2 | 48 |
23 | [ 0, 2, 1, 0 ] | 2 | 48 |
23 | [ 0, 0, 1, 2 ] | 2 | 48 |
21 | [ 0, 0, 2, 0 ] | 5 | 24 |
19 | [ 1, 1, 0, 1 ] | 6 | 96 |
13 | [ 2, 0, 0, 0 ] | 9 | 8 |
13 | [ 0, 2, 0, 0 ] | 9 | 8 |
13 | [ 0, 0, 0, 2 ] | 9 | 8 |
11 | [ 0, 0, 1, 0 ] | 14 | 24 |
1 | [ 0, 0, 0, 0 ] | 17 | 1 |
Highest weight: [ 0, 0, 2, 2 ]
Characteristic: 3
Dimension: 3948
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
33 | [ 0, 0, 2, 2 ] | 1 | 48 |
31 | [ 1, 1, 0, 3 ] | 1 | 96 |
31 | [ 0, 0, 3, 0 ] | 1 | 24 |
29 | [ 1, 1, 1, 1 ] | 2 | 192 |
25 | [ 2, 2, 0, 0 ] | 3 | 32 |
25 | [ 2, 0, 0, 2 ] | 3 | 32 |
25 | [ 0, 2, 0, 2 ] | 3 | 32 |
25 | [ 0, 0, 0, 4 ] | 1 | 8 |
23 | [ 2, 0, 1, 0 ] | 4 | 48 |
23 | [ 0, 2, 1, 0 ] | 4 | 48 |
23 | [ 0, 0, 1, 2 ] | 6 | 48 |
21 | [ 0, 0, 2, 0 ] | 8 | 24 |
19 | [ 1, 1, 0, 1 ] | 12 | 96 |
13 | [ 2, 0, 0, 0 ] | 16 | 8 |
13 | [ 0, 2, 0, 0 ] | 16 | 8 |
13 | [ 0, 0, 0, 2 ] | 21 | 8 |
11 | [ 0, 0, 1, 0 ] | 26 | 24 |
1 | [ 0, 0, 0, 0 ] | 36 | 1 |
Highest weight: [ 1, 2, 0, 2 ]
Characteristic: 3
Dimension: 3240
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
31 | [ 1, 2, 0, 2 ] | 1 | 96 |
29 | [ 1, 2, 1, 0 ] | 1 | 96 |
29 | [ 1, 0, 1, 2 ] | 1 | 96 |
27 | [ 1, 0, 2, 0 ] | 1 | 48 |
25 | [ 2, 1, 0, 1 ] | 2 | 96 |
25 | [ 0, 3, 0, 1 ] | 3 | 32 |
25 | [ 0, 1, 0, 3 ] | 3 | 32 |
23 | [ 0, 1, 1, 1 ] | 6 | 96 |
19 | [ 3, 0, 0, 0 ] | 3 | 8 |
19 | [ 1, 2, 0, 0 ] | 9 | 32 |
19 | [ 1, 0, 0, 2 ] | 9 | 32 |
17 | [ 1, 0, 1, 0 ] | 12 | 48 |
13 | [ 0, 1, 0, 1 ] | 18 | 32 |
7 | [ 1, 0, 0, 0 ] | 24 | 8 |
Highest weight: [ 0, 1, 2, 1 ]
Characteristic: 3
Dimension: 4768
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
33 | [ 0, 1, 2, 1 ] | 1 | 96 |
31 | [ 1, 2, 0, 2 ] | 1 | 96 |
29 | [ 1, 2, 1, 0 ] | 2 | 96 |
29 | [ 1, 0, 1, 2 ] | 2 | 96 |
27 | [ 1, 0, 2, 0 ] | 3 | 48 |
25 | [ 2, 1, 0, 1 ] | 4 | 96 |
25 | [ 0, 3, 0, 1 ] | 3 | 32 |
25 | [ 0, 1, 0, 3 ] | 3 | 32 |
23 | [ 0, 1, 1, 1 ] | 8 | 96 |
19 | [ 3, 0, 0, 0 ] | 6 | 8 |
19 | [ 1, 2, 0, 0 ] | 12 | 32 |
19 | [ 1, 0, 0, 2 ] | 12 | 32 |
17 | [ 1, 0, 1, 0 ] | 16 | 48 |
13 | [ 0, 1, 0, 1 ] | 26 | 32 |
7 | [ 1, 0, 0, 0 ] | 36 | 8 |
Highest weight: [ 0, 2, 1, 2 ]
Characteristic: 3
Dimension: 8343
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
35 | [ 0, 2, 1, 2 ] | 1 | 96 |
33 | [ 0, 2, 2, 0 ] | 1 | 48 |
33 | [ 0, 0, 2, 2 ] | 1 | 48 |
31 | [ 1, 3, 0, 1 ] | 2 | 96 |
31 | [ 1, 1, 0, 3 ] | 2 | 96 |
31 | [ 0, 0, 3, 0 ] | 1 | 24 |
29 | [ 1, 1, 1, 1 ] | 4 | 192 |
25 | [ 2, 2, 0, 0 ] | 6 | 32 |
25 | [ 2, 0, 0, 2 ] | 6 | 32 |
25 | [ 0, 4, 0, 0 ] | 3 | 8 |
25 | [ 0, 2, 0, 2 ] | 9 | 32 |
25 | [ 0, 0, 0, 4 ] | 3 | 8 |
23 | [ 2, 0, 1, 0 ] | 8 | 48 |
23 | [ 0, 2, 1, 0 ] | 12 | 48 |
23 | [ 0, 0, 1, 2 ] | 12 | 48 |
21 | [ 0, 0, 2, 0 ] | 15 | 24 |
19 | [ 1, 1, 0, 1 ] | 24 | 96 |
13 | [ 2, 0, 0, 0 ] | 33 | 8 |
13 | [ 0, 2, 0, 0 ] | 36 | 8 |
13 | [ 0, 0, 0, 2 ] | 36 | 8 |
11 | [ 0, 0, 1, 0 ] | 48 | 24 |
1 | [ 0, 0, 0, 0 ] | 63 | 1 |
Highest weight: [ 1, 1, 1, 2 ]
Characteristic: 3
Dimension: 7600
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
35 | [ 1, 1, 1, 2 ] | 1 | 192 |
33 | [ 1, 1, 2, 0 ] | 1 | 96 |
31 | [ 2, 2, 0, 1 ] | 2 | 96 |
31 | [ 2, 0, 0, 3 ] | 1 | 32 |
31 | [ 0, 2, 0, 3 ] | 1 | 32 |
29 | [ 2, 0, 1, 1 ] | 3 | 96 |
29 | [ 0, 2, 1, 1 ] | 3 | 96 |
29 | [ 0, 0, 1, 3 ] | 2 | 48 |
27 | [ 0, 0, 2, 1 ] | 6 | 48 |
25 | [ 3, 1, 0, 0 ] | 4 | 32 |
25 | [ 1, 3, 0, 0 ] | 4 | 32 |
25 | [ 1, 1, 0, 2 ] | 8 | 96 |
23 | [ 1, 1, 1, 0 ] | 12 | 96 |
19 | [ 2, 0, 0, 1 ] | 16 | 32 |
19 | [ 0, 2, 0, 1 ] | 16 | 32 |
19 | [ 0, 0, 0, 3 ] | 12 | 8 |
17 | [ 0, 0, 1, 1 ] | 26 | 48 |
13 | [ 1, 1, 0, 0 ] | 36 | 32 |
7 | [ 0, 0, 0, 1 ] | 50 | 8 |
Highest weight: [ 2, 2, 0, 2 ]
Characteristic: 3
Dimension: 8132
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
37 | [ 2, 2, 0, 2 ] | 1 | 96 |
35 | [ 2, 2, 1, 0 ] | 1 | 96 |
35 | [ 2, 0, 1, 2 ] | 1 | 96 |
35 | [ 0, 2, 1, 2 ] | 1 | 96 |
33 | [ 2, 0, 2, 0 ] | 1 | 48 |
33 | [ 0, 2, 2, 0 ] | 1 | 48 |
33 | [ 0, 0, 2, 2 ] | 1 | 48 |
31 | [ 3, 1, 0, 1 ] | 2 | 96 |
31 | [ 1, 3, 0, 1 ] | 2 | 96 |
31 | [ 1, 1, 0, 3 ] | 2 | 96 |
31 | [ 0, 0, 3, 0 ] | 1 | 24 |
29 | [ 1, 1, 1, 1 ] | 5 | 192 |
25 | [ 4, 0, 0, 0 ] | 3 | 8 |
25 | [ 2, 2, 0, 0 ] | 7 | 32 |
25 | [ 2, 0, 0, 2 ] | 7 | 32 |
25 | [ 0, 4, 0, 0 ] | 3 | 8 |
25 | [ 0, 2, 0, 2 ] | 7 | 32 |
25 | [ 0, 0, 0, 4 ] | 3 | 8 |
23 | [ 2, 0, 1, 0 ] | 10 | 48 |
23 | [ 0, 2, 1, 0 ] | 10 | 48 |
23 | [ 0, 0, 1, 2 ] | 10 | 48 |
21 | [ 0, 0, 2, 0 ] | 16 | 24 |
19 | [ 1, 1, 0, 1 ] | 20 | 96 |
13 | [ 2, 0, 0, 0 ] | 27 | 8 |
13 | [ 0, 2, 0, 0 ] | 27 | 8 |
13 | [ 0, 0, 0, 2 ] | 27 | 8 |
11 | [ 0, 0, 1, 0 ] | 36 | 24 |
1 | [ 0, 0, 0, 0 ] | 44 | 1 |
Highest weight: [ 0, 1, 2, 2 ]
Characteristic: 3
Dimension: 18144
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
39 | [ 0, 1, 2, 2 ] | 1 | 96 |
37 | [ 1, 2, 0, 3 ] | 1 | 96 |
37 | [ 0, 1, 3, 0 ] | 1 | 48 |
35 | [ 1, 2, 1, 1 ] | 2 | 192 |
35 | [ 1, 0, 1, 3 ] | 2 | 96 |
33 | [ 1, 0, 2, 1 ] | 4 | 96 |
31 | [ 2, 3, 0, 0 ] | 3 | 32 |
31 | [ 2, 1, 0, 2 ] | 5 | 96 |
31 | [ 0, 3, 0, 2 ] | 3 | 32 |
31 | [ 0, 1, 0, 4 ] | 3 | 32 |
29 | [ 2, 1, 1, 0 ] | 7 | 96 |
29 | [ 0, 3, 1, 0 ] | 4 | 48 |
29 | [ 0, 1, 1, 2 ] | 10 | 96 |
27 | [ 0, 1, 2, 0 ] | 13 | 48 |
25 | [ 3, 0, 0, 1 ] | 9 | 32 |
25 | [ 1, 2, 0, 1 ] | 18 | 96 |
25 | [ 1, 0, 0, 3 ] | 15 | 32 |
23 | [ 1, 0, 1, 1 ] | 27 | 96 |
19 | [ 2, 1, 0, 0 ] | 36 | 32 |
19 | [ 0, 3, 0, 0 ] | 24 | 8 |
19 | [ 0, 1, 0, 2 ] | 42 | 32 |
17 | [ 0, 1, 1, 0 ] | 54 | 48 |
13 | [ 1, 0, 0, 1 ] | 78 | 32 |
7 | [ 0, 1, 0, 0 ] | 108 | 8 |
Highest weight: [ 1, 1, 2, 1 ]
Characteristic: 3
Dimension: 13776
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
39 | [ 1, 1, 2, 1 ] | 1 | 192 |
37 | [ 2, 2, 0, 2 ] | 1 | 96 |
35 | [ 2, 2, 1, 0 ] | 2 | 96 |
35 | [ 2, 0, 1, 2 ] | 2 | 96 |
35 | [ 0, 2, 1, 2 ] | 2 | 96 |
33 | [ 2, 0, 2, 0 ] | 3 | 48 |
33 | [ 0, 2, 2, 0 ] | 3 | 48 |
33 | [ 0, 0, 2, 2 ] | 3 | 48 |
31 | [ 3, 1, 0, 1 ] | 4 | 96 |
31 | [ 1, 3, 0, 1 ] | 4 | 96 |
31 | [ 1, 1, 0, 3 ] | 4 | 96 |
31 | [ 0, 0, 3, 0 ] | 5 | 24 |
29 | [ 1, 1, 1, 1 ] | 9 | 192 |
25 | [ 4, 0, 0, 0 ] | 6 | 8 |
25 | [ 2, 2, 0, 0 ] | 12 | 32 |
25 | [ 2, 0, 0, 2 ] | 12 | 32 |
25 | [ 0, 4, 0, 0 ] | 6 | 8 |
25 | [ 0, 2, 0, 2 ] | 12 | 32 |
25 | [ 0, 0, 0, 4 ] | 6 | 8 |
23 | [ 2, 0, 1, 0 ] | 17 | 48 |
23 | [ 0, 2, 1, 0 ] | 17 | 48 |
23 | [ 0, 0, 1, 2 ] | 17 | 48 |
21 | [ 0, 0, 2, 0 ] | 23 | 24 |
19 | [ 1, 1, 0, 1 ] | 30 | 96 |
13 | [ 2, 0, 0, 0 ] | 40 | 8 |
13 | [ 0, 2, 0, 0 ] | 40 | 8 |
13 | [ 0, 0, 0, 2 ] | 40 | 8 |
11 | [ 0, 0, 1, 0 ] | 53 | 24 |
1 | [ 0, 0, 0, 0 ] | 72 | 1 |
Highest weight: [ 1, 2, 1, 2 ]
Characteristic: 3
Dimension: 24240
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
41 | [ 1, 2, 1, 2 ] | 1 | 192 |
39 | [ 1, 2, 2, 0 ] | 1 | 96 |
39 | [ 1, 0, 2, 2 ] | 1 | 96 |
37 | [ 2, 3, 0, 1 ] | 2 | 96 |
37 | [ 2, 1, 0, 3 ] | 2 | 96 |
37 | [ 1, 0, 3, 0 ] | 1 | 48 |
37 | [ 0, 3, 0, 3 ] | 1 | 32 |
35 | [ 2, 1, 1, 1 ] | 4 | 192 |
35 | [ 0, 3, 1, 1 ] | 3 | 96 |
35 | [ 0, 1, 1, 3 ] | 3 | 96 |
33 | [ 0, 1, 2, 1 ] | 6 | 96 |
31 | [ 3, 2, 0, 0 ] | 6 | 32 |
31 | [ 3, 0, 0, 2 ] | 6 | 32 |
31 | [ 1, 4, 0, 0 ] | 4 | 32 |
31 | [ 1, 2, 0, 2 ] | 10 | 96 |
31 | [ 1, 0, 0, 4 ] | 4 | 32 |
29 | [ 3, 0, 1, 0 ] | 8 | 48 |
29 | [ 1, 2, 1, 0 ] | 13 | 96 |
29 | [ 1, 0, 1, 2 ] | 13 | 96 |
27 | [ 1, 0, 2, 0 ] | 18 | 48 |
25 | [ 2, 1, 0, 1 ] | 25 | 96 |
25 | [ 0, 3, 0, 1 ] | 18 | 32 |
25 | [ 0, 1, 0, 3 ] | 18 | 32 |
23 | [ 0, 1, 1, 1 ] | 34 | 96 |
19 | [ 3, 0, 0, 0 ] | 31 | 8 |
19 | [ 1, 2, 0, 0 ] | 45 | 32 |
19 | [ 1, 0, 0, 2 ] | 45 | 32 |
17 | [ 1, 0, 1, 0 ] | 61 | 48 |
13 | [ 0, 1, 0, 1 ] | 77 | 32 |
7 | [ 1, 0, 0, 0 ] | 99 | 8 |
Highest weight: [ 0, 2, 2, 2 ]
Characteristic: 3
Dimension: 43254
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
45 | [ 0, 2, 2, 2 ] | 1 | 96 |
43 | [ 1, 3, 0, 3 ] | 1 | 96 |
43 | [ 0, 2, 3, 0 ] | 1 | 48 |
43 | [ 0, 0, 3, 2 ] | 1 | 48 |
41 | [ 1, 3, 1, 1 ] | 2 | 192 |
41 | [ 1, 1, 1, 3 ] | 2 | 192 |
41 | [ 0, 0, 4, 0 ] | 1 | 24 |
39 | [ 1, 1, 2, 1 ] | 4 | 192 |
37 | [ 2, 4, 0, 0 ] | 3 | 32 |
37 | [ 2, 2, 0, 2 ] | 5 | 96 |
37 | [ 2, 0, 0, 4 ] | 3 | 32 |
37 | [ 0, 4, 0, 2 ] | 3 | 32 |
37 | [ 0, 2, 0, 4 ] | 3 | 32 |
35 | [ 2, 2, 1, 0 ] | 7 | 96 |
35 | [ 2, 0, 1, 2 ] | 7 | 96 |
35 | [ 0, 4, 1, 0 ] | 4 | 48 |
35 | [ 0, 2, 1, 2 ] | 9 | 96 |
35 | [ 0, 0, 1, 4 ] | 4 | 48 |
33 | [ 2, 0, 2, 0 ] | 10 | 48 |
33 | [ 0, 2, 2, 0 ] | 12 | 48 |
33 | [ 0, 0, 2, 2 ] | 12 | 48 |
31 | [ 3, 1, 0, 1 ] | 12 | 96 |
31 | [ 1, 3, 0, 1 ] | 16 | 96 |
31 | [ 1, 1, 0, 3 ] | 16 | 96 |
31 | [ 0, 0, 3, 0 ] | 16 | 24 |
29 | [ 1, 1, 1, 1 ] | 28 | 192 |
25 | [ 4, 0, 0, 0 ] | 15 | 8 |
25 | [ 2, 2, 0, 0 ] | 36 | 32 |
25 | [ 2, 0, 0, 2 ] | 36 | 32 |
25 | [ 0, 4, 0, 0 ] | 21 | 8 |
25 | [ 0, 2, 0, 2 ] | 39 | 32 |
25 | [ 0, 0, 0, 4 ] | 21 | 8 |
23 | [ 2, 0, 1, 0 ] | 47 | 48 |
23 | [ 0, 2, 1, 0 ] | 49 | 48 |
23 | [ 0, 0, 1, 2 ] | 49 | 48 |
21 | [ 0, 0, 2, 0 ] | 63 | 24 |
19 | [ 1, 1, 0, 1 ] | 82 | 96 |
13 | [ 2, 0, 0, 0 ] | 108 | 8 |
13 | [ 0, 2, 0, 0 ] | 105 | 8 |
13 | [ 0, 0, 0, 2 ] | 105 | 8 |
11 | [ 0, 0, 1, 0 ] | 136 | 24 |
1 | [ 0, 0, 0, 0 ] | 174 | 1 |
Highest weight: [ 1, 1, 2, 2 ]
Characteristic: 3
Dimension: 58920
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
45 | [ 1, 1, 2, 2 ] | 1 | 192 |
43 | [ 2, 2, 0, 3 ] | 1 | 96 |
43 | [ 1, 1, 3, 0 ] | 1 | 96 |
41 | [ 2, 2, 1, 1 ] | 2 | 192 |
41 | [ 2, 0, 1, 3 ] | 2 | 96 |
41 | [ 0, 2, 1, 3 ] | 2 | 96 |
39 | [ 2, 0, 2, 1 ] | 4 | 96 |
39 | [ 0, 2, 2, 1 ] | 4 | 96 |
39 | [ 0, 0, 2, 3 ] | 3 | 48 |
37 | [ 3, 3, 0, 0 ] | 3 | 32 |
37 | [ 3, 1, 0, 2 ] | 5 | 96 |
37 | [ 1, 3, 0, 2 ] | 5 | 96 |
37 | [ 1, 1, 0, 4 ] | 4 | 96 |
37 | [ 0, 0, 3, 1 ] | 7 | 48 |
35 | [ 3, 1, 1, 0 ] | 7 | 96 |
35 | [ 1, 3, 1, 0 ] | 7 | 96 |
35 | [ 1, 1, 1, 2 ] | 13 | 192 |
33 | [ 1, 1, 2, 0 ] | 18 | 96 |
31 | [ 4, 0, 0, 1 ] | 9 | 32 |
31 | [ 2, 2, 0, 1 ] | 23 | 96 |
31 | [ 2, 0, 0, 3 ] | 18 | 32 |
31 | [ 0, 4, 0, 1 ] | 9 | 32 |
31 | [ 0, 2, 0, 3 ] | 18 | 32 |
31 | [ 0, 0, 0, 5 ] | 6 | 8 |
29 | [ 2, 0, 1, 1 ] | 32 | 96 |
29 | [ 0, 2, 1, 1 ] | 32 | 96 |
29 | [ 0, 0, 1, 3 ] | 25 | 48 |
27 | [ 0, 0, 2, 1 ] | 45 | 48 |
25 | [ 3, 1, 0, 0 ] | 42 | 32 |
25 | [ 1, 3, 0, 0 ] | 42 | 32 |
25 | [ 1, 1, 0, 2 ] | 59 | 96 |
23 | [ 1, 1, 1, 0 ] | 76 | 96 |
19 | [ 2, 0, 0, 1 ] | 100 | 32 |
19 | [ 0, 2, 0, 1 ] | 100 | 32 |
19 | [ 0, 0, 0, 3 ] | 78 | 8 |
17 | [ 0, 0, 1, 1 ] | 130 | 48 |
13 | [ 1, 1, 0, 0 ] | 168 | 32 |
7 | [ 0, 0, 0, 1 ] | 217 | 8 |
Highest weight: [ 2, 2, 1, 2 ]
Characteristic: 3
Dimension: 96753
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
47 | [ 2, 2, 1, 2 ] | 1 | 192 |
45 | [ 2, 2, 2, 0 ] | 1 | 96 |
45 | [ 2, 0, 2, 2 ] | 1 | 96 |
45 | [ 0, 2, 2, 2 ] | 1 | 96 |
43 | [ 3, 3, 0, 1 ] | 2 | 96 |
43 | [ 3, 1, 0, 3 ] | 2 | 96 |
43 | [ 2, 0, 3, 0 ] | 1 | 48 |
43 | [ 1, 3, 0, 3 ] | 2 | 96 |
43 | [ 0, 2, 3, 0 ] | 1 | 48 |
43 | [ 0, 0, 3, 2 ] | 1 | 48 |
41 | [ 3, 1, 1, 1 ] | 4 | 192 |
41 | [ 1, 3, 1, 1 ] | 4 | 192 |
41 | [ 1, 1, 1, 3 ] | 4 | 192 |
41 | [ 0, 0, 4, 0 ] | 1 | 24 |
39 | [ 1, 1, 2, 1 ] | 8 | 192 |
37 | [ 4, 2, 0, 0 ] | 6 | 32 |
37 | [ 4, 0, 0, 2 ] | 6 | 32 |
37 | [ 2, 4, 0, 0 ] | 6 | 32 |
37 | [ 2, 2, 0, 2 ] | 13 | 96 |
37 | [ 2, 0, 0, 4 ] | 6 | 32 |
37 | [ 0, 4, 0, 2 ] | 6 | 32 |
37 | [ 0, 2, 0, 4 ] | 6 | 32 |
35 | [ 4, 0, 1, 0 ] | 8 | 48 |
35 | [ 2, 2, 1, 0 ] | 18 | 96 |
35 | [ 2, 0, 1, 2 ] | 18 | 96 |
35 | [ 0, 4, 1, 0 ] | 8 | 48 |
35 | [ 0, 2, 1, 2 ] | 18 | 96 |
35 | [ 0, 0, 1, 4 ] | 8 | 48 |
33 | [ 2, 0, 2, 0 ] | 24 | 48 |
33 | [ 0, 2, 2, 0 ] | 24 | 48 |
33 | [ 0, 0, 2, 2 ] | 24 | 48 |
31 | [ 3, 1, 0, 1 ] | 34 | 96 |
31 | [ 1, 3, 0, 1 ] | 34 | 96 |
31 | [ 1, 1, 0, 3 ] | 34 | 96 |
31 | [ 0, 0, 3, 0 ] | 33 | 24 |
29 | [ 1, 1, 1, 1 ] | 61 | 192 |
25 | [ 4, 0, 0, 0 ] | 45 | 8 |
25 | [ 2, 2, 0, 0 ] | 82 | 32 |
25 | [ 2, 0, 0, 2 ] | 82 | 32 |
25 | [ 0, 4, 0, 0 ] | 45 | 8 |
25 | [ 0, 2, 0, 2 ] | 82 | 32 |
25 | [ 0, 0, 0, 4 ] | 45 | 8 |
23 | [ 2, 0, 1, 0 ] | 107 | 48 |
23 | [ 0, 2, 1, 0 ] | 107 | 48 |
23 | [ 0, 0, 1, 2 ] | 107 | 48 |
21 | [ 0, 0, 2, 0 ] | 137 | 24 |
19 | [ 1, 1, 0, 1 ] | 178 | 96 |
13 | [ 2, 0, 0, 0 ] | 225 | 8 |
13 | [ 0, 2, 0, 0 ] | 225 | 8 |
13 | [ 0, 0, 0, 2 ] | 225 | 8 |
11 | [ 0, 0, 1, 0 ] | 280 | 24 |
1 | [ 0, 0, 0, 0 ] | 345 | 1 |
Highest weight: [ 1, 2, 2, 2 ]
Characteristic: 3
Dimension: 196344
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
51 | [ 1, 2, 2, 2 ] | 1 | 192 |
49 | [ 2, 3, 0, 3 ] | 1 | 96 |
49 | [ 1, 2, 3, 0 ] | 1 | 96 |
49 | [ 1, 0, 3, 2 ] | 1 | 96 |
47 | [ 2, 3, 1, 1 ] | 2 | 192 |
47 | [ 2, 1, 1, 3 ] | 2 | 192 |
47 | [ 1, 0, 4, 0 ] | 1 | 48 |
47 | [ 0, 3, 1, 3 ] | 2 | 96 |
45 | [ 2, 1, 2, 1 ] | 4 | 192 |
45 | [ 0, 3, 2, 1 ] | 4 | 96 |
45 | [ 0, 1, 2, 3 ] | 4 | 96 |
43 | [ 3, 4, 0, 0 ] | 3 | 32 |
43 | [ 3, 2, 0, 2 ] | 5 | 96 |
43 | [ 3, 0, 0, 4 ] | 3 | 32 |
43 | [ 1, 4, 0, 2 ] | 5 | 96 |
43 | [ 1, 2, 0, 4 ] | 5 | 96 |
43 | [ 0, 1, 3, 1 ] | 8 | 96 |
41 | [ 3, 2, 1, 0 ] | 7 | 96 |
41 | [ 3, 0, 1, 2 ] | 7 | 96 |
41 | [ 1, 4, 1, 0 ] | 7 | 96 |
41 | [ 1, 2, 1, 2 ] | 15 | 192 |
41 | [ 1, 0, 1, 4 ] | 7 | 96 |
39 | [ 3, 0, 2, 0 ] | 10 | 48 |
39 | [ 1, 2, 2, 0 ] | 20 | 96 |
39 | [ 1, 0, 2, 2 ] | 20 | 96 |
37 | [ 4, 1, 0, 1 ] | 12 | 96 |
37 | [ 2, 3, 0, 1 ] | 26 | 96 |
37 | [ 2, 1, 0, 3 ] | 26 | 96 |
37 | [ 1, 0, 3, 0 ] | 27 | 48 |
37 | [ 0, 5, 0, 1 ] | 9 | 32 |
37 | [ 0, 3, 0, 3 ] | 21 | 32 |
37 | [ 0, 1, 0, 5 ] | 9 | 32 |
35 | [ 2, 1, 1, 1 ] | 45 | 192 |
35 | [ 0, 3, 1, 1 ] | 37 | 96 |
35 | [ 0, 1, 1, 3 ] | 37 | 96 |
33 | [ 0, 1, 2, 1 ] | 65 | 96 |
31 | [ 5, 0, 0, 0 ] | 15 | 8 |
31 | [ 3, 2, 0, 0 ] | 57 | 32 |
31 | [ 3, 0, 0, 2 ] | 57 | 32 |
31 | [ 1, 4, 0, 0 ] | 48 | 32 |
31 | [ 1, 2, 0, 2 ] | 85 | 96 |
31 | [ 1, 0, 0, 4 ] | 48 | 32 |
29 | [ 3, 0, 1, 0 ] | 73 | 48 |
29 | [ 1, 2, 1, 0 ] | 108 | 96 |
29 | [ 1, 0, 1, 2 ] | 108 | 96 |
27 | [ 1, 0, 2, 0 ] | 138 | 48 |
25 | [ 2, 1, 0, 1 ] | 175 | 96 |
25 | [ 0, 3, 0, 1 ] | 141 | 32 |
25 | [ 0, 1, 0, 3 ] | 141 | 32 |
23 | [ 0, 1, 1, 1 ] | 228 | 96 |
19 | [ 3, 0, 0, 0 ] | 222 | 8 |
19 | [ 1, 2, 0, 0 ] | 288 | 32 |
19 | [ 1, 0, 0, 2 ] | 288 | 32 |
17 | [ 1, 0, 1, 0 ] | 363 | 48 |
13 | [ 0, 1, 0, 1 ] | 456 | 32 |
7 | [ 1, 0, 0, 0 ] | 570 | 8 |
Highest weight: [ 2, 2, 2, 2 ]
Characteristic: 3
Dimension: 531441
Level | dominant weight | weight multiplicity | length of W-orbit |
---|---|---|---|
57 | [ 2, 2, 2, 2 ] | 1 | 192 |
55 | [ 3, 3, 0, 3 ] | 1 | 96 |
55 | [ 2, 2, 3, 0 ] | 1 | 96 |
55 | [ 2, 0, 3, 2 ] | 1 | 96 |
55 | [ 0, 2, 3, 2 ] | 1 | 96 |
53 | [ 2, 0, 4, 0 ] | 1 | 48 |
53 | [ 0, 2, 4, 0 ] | 1 | 48 |
53 | [ 0, 0, 4, 2 ] | 1 | 48 |
53 | [ 3, 3, 1, 1 ] | 2 | 192 |
53 | [ 3, 1, 1, 3 ] | 2 | 192 |
53 | [ 1, 3, 1, 3 ] | 2 | 192 |
51 | [ 0, 0, 5, 0 ] | 1 | 24 |
51 | [ 3, 1, 2, 1 ] | 4 | 192 |
51 | [ 1, 3, 2, 1 ] | 4 | 192 |
51 | [ 1, 1, 2, 3 ] | 4 | 192 |
49 | [ 4, 4, 0, 0 ] | 3 | 32 |
49 | [ 4, 2, 0, 2 ] | 5 | 96 |
49 | [ 4, 0, 0, 4 ] | 3 | 32 |
49 | [ 2, 4, 0, 2 ] | 5 | 96 |
49 | [ 2, 2, 0, 4 ] | 5 | 96 |
49 | [ 0, 4, 0, 4 ] | 3 | 32 |
49 | [ 1, 1, 3, 1 ] | 8 | 192 |
47 | [ 4, 2, 1, 0 ] | 7 | 96 |
47 | [ 4, 0, 1, 2 ] | 7 | 96 |
47 | [ 2, 4, 1, 0 ] | 7 | 96 |
47 | [ 2, 0, 1, 4 ] | 7 | 96 |
47 | [ 0, 4, 1, 2 ] | 7 | 96 |
47 | [ 0, 2, 1, 4 ] | 7 | 96 |
47 | [ 2, 2, 1, 2 ] | 15 | 192 |
45 | [ 4, 0, 2, 0 ] | 10 | 48 |
45 | [ 2, 2, 2, 0 ] | 20 | 96 |
45 | [ 2, 0, 2, 2 ] | 20 | 96 |
45 | [ 0, 4, 2, 0 ] | 10 | 48 |
45 | [ 0, 2, 2, 2 ] | 20 | 96 |
45 | [ 0, 0, 2, 4 ] | 10 | 48 |
43 | [ 5, 1, 0, 1 ] | 12 | 96 |
43 | [ 1, 5, 0, 1 ] | 12 | 96 |
43 | [ 1, 1, 0, 5 ] | 12 | 96 |
43 | [ 3, 3, 0, 1 ] | 26 | 96 |
43 | [ 3, 1, 0, 3 ] | 26 | 96 |
43 | [ 2, 0, 3, 0 ] | 27 | 48 |
43 | [ 1, 3, 0, 3 ] | 26 | 96 |
43 | [ 0, 2, 3, 0 ] | 27 | 48 |
43 | [ 0, 0, 3, 2 ] | 27 | 48 |
41 | [ 3, 1, 1, 1 ] | 45 | 192 |
41 | [ 1, 3, 1, 1 ] | 45 | 192 |
41 | [ 1, 1, 1, 3 ] | 45 | 192 |
41 | [ 0, 0, 4, 0 ] | 37 | 24 |
39 | [ 1, 1, 2, 1 ] | 78 | 192 |
37 | [ 6, 0, 0, 0 ] | 15 | 8 |
37 | [ 0, 6, 0, 0 ] | 15 | 8 |
37 | [ 0, 0, 0, 6 ] | 15 | 8 |
37 | [ 4, 2, 0, 0 ] | 57 | 32 |
37 | [ 4, 0, 0, 2 ] | 57 | 32 |
37 | [ 2, 4, 0, 0 ] | 57 | 32 |
37 | [ 2, 0, 0, 4 ] | 57 | 32 |
37 | [ 0, 4, 0, 2 ] | 57 | 32 |
37 | [ 0, 2, 0, 4 ] | 57 | 32 |
37 | [ 2, 2, 0, 2 ] | 100 | 96 |
35 | [ 4, 0, 1, 0 ] | 73 | 48 |
35 | [ 2, 2, 1, 0 ] | 125 | 96 |
35 | [ 2, 0, 1, 2 ] | 125 | 96 |
35 | [ 0, 4, 1, 0 ] | 73 | 48 |
35 | [ 0, 2, 1, 2 ] | 125 | 96 |
35 | [ 0, 0, 1, 4 ] | 73 | 48 |
33 | [ 2, 0, 2, 0 ] | 158 | 48 |
33 | [ 0, 2, 2, 0 ] | 158 | 48 |
33 | [ 0, 0, 2, 2 ] | 158 | 48 |
31 | [ 3, 1, 0, 1 ] | 198 | 96 |
31 | [ 1, 3, 0, 1 ] | 198 | 96 |
31 | [ 1, 1, 0, 3 ] | 198 | 96 |
31 | [ 0, 0, 3, 0 ] | 201 | 24 |
29 | [ 1, 1, 1, 1 ] | 311 | 192 |
25 | [ 4, 0, 0, 0 ] | 249 | 8 |
25 | [ 2, 2, 0, 0 ] | 384 | 32 |
25 | [ 2, 0, 0, 2 ] | 384 | 32 |
25 | [ 0, 4, 0, 0 ] | 249 | 8 |
25 | [ 0, 2, 0, 2 ] | 384 | 32 |
25 | [ 0, 0, 0, 4 ] | 249 | 8 |
23 | [ 2, 0, 1, 0 ] | 475 | 48 |
23 | [ 0, 2, 1, 0 ] | 475 | 48 |
23 | [ 0, 0, 1, 2 ] | 475 | 48 |
21 | [ 0, 0, 2, 0 ] | 588 | 24 |
19 | [ 1, 1, 0, 1 ] | 715 | 96 |
13 | [ 2, 0, 0, 0 ] | 870 | 8 |
13 | [ 0, 2, 0, 0 ] | 870 | 8 |
13 | [ 0, 0, 0, 2 ] | 870 | 8 |
11 | [ 0, 0, 1, 0 ] | 1057 | 24 |
1 | [ 0, 0, 0, 0 ] | 1281 | 1 |