[Overview]

Weight Multiplicities

Groups of type B6, degree bound 15000

Diagram:

1 < 2 - .. - 6

Overview

DimensionHighest weightCharacteristic
1[ 0, 0, 0, 0, 0, 0 ]all
12[ 0, 0, 0, 0, 0, 1 ]2
13[ 0, 0, 0, 0, 0, 1 ]not 2
64[ 0, 0, 0, 0, 1, 0 ]2
64[ 1, 0, 0, 0, 0, 0 ]all
78[ 0, 0, 0, 0, 1, 0 ]not 2
89[ 0, 0, 0, 0, 0, 2 ]13
90[ 0, 0, 0, 0, 0, 2 ]not 2, 13
208[ 0, 0, 0, 1, 0, 0 ]2
286[ 0, 0, 0, 1, 0, 0 ]not 2
364[ 0, 0, 1, 0, 0, 0 ]2
416[ 0, 0, 0, 0, 1, 1 ]3
429[ 0, 0, 0, 0, 0, 3 ]5
442[ 0, 0, 0, 0, 0, 3 ]not 2, 3, 5
560[ 0, 0, 0, 0, 1, 1 ]2
560[ 0, 1, 0, 0, 0, 0 ]2
704[ 1, 0, 0, 0, 0, 1 ]13
715[ 0, 0, 0, 0, 1, 1 ]not 2, 3
715[ 0, 0, 1, 0, 0, 0 ]not 2
768[ 1, 0, 0, 0, 0, 1 ]not 13
1287[ 0, 1, 0, 0, 0, 0 ]not 2
1508[ 0, 0, 0, 1, 0, 1 ]2
1559[ 0, 0, 0, 0, 2, 0 ]3
1639[ 0, 0, 0, 0, 0, 4 ]17
1716[ 2, 0, 0, 0, 0, 0 ]not 2
1728[ 0, 0, 0, 0, 0, 4 ]5
1729[ 0, 0, 0, 0, 0, 4 ]not 2, 3, 5, 17
2185[ 0, 0, 0, 0, 2, 0 ]11
2275[ 0, 0, 0, 0, 2, 0 ]not 2, 3, 11
2847[ 0, 0, 0, 1, 0, 1 ]11
2925[ 0, 0, 0, 1, 0, 1 ]not 2, 11
3392[ 1, 0, 0, 0, 1, 0 ]11
3808[ 0, 0, 1, 0, 0, 1 ]2
3838[ 0, 0, 0, 0, 1, 2 ]13
3849[ 0, 0, 0, 0, 1, 2 ]3
3849[ 0, 0, 0, 0, 1, 2 ]5
3927[ 0, 0, 0, 0, 1, 2 ]not 2, 3, 5, 13
4096[ 1, 0, 0, 0, 1, 0 ]2
4096[ 1, 0, 0, 0, 1, 0 ]3
4160[ 1, 0, 0, 0, 1, 0 ]not 2, 3, 11
4224[ 1, 0, 0, 0, 0, 2 ]3
4224[ 1, 0, 0, 0, 0, 2 ]5
4563[ 0, 0, 0, 1, 1, 0 ]3
4992[ 1, 0, 0, 0, 0, 2 ]not 2, 3, 5
5136[ 0, 1, 0, 0, 0, 1 ]2
5291[ 0, 0, 0, 0, 0, 5 ]19
5720[ 0, 0, 0, 0, 0, 5 ]17
5720[ 0, 0, 0, 0, 1, 3 ]5
5733[ 0, 0, 0, 0, 0, 5 ]not 2, 3, 5, 17, 19
6149[ 0, 0, 1, 0, 0, 1 ]5
7216[ 0, 0, 0, 1, 1, 0 ]2
7722[ 0, 0, 1, 0, 0, 1 ]not 2, 5
9152[ 1, 0, 0, 1, 0, 0 ]3
9216[ 1, 1, 0, 0, 0, 0 ]5
9516[ 0, 0, 0, 2, 0, 0 ]3
10582[ 0, 0, 0, 1, 0, 2 ]5
11220[ 0, 0, 1, 0, 1, 0 ]2
11570[ 0, 0, 0, 1, 1, 0 ]5
11869[ 0, 1, 0, 0, 0, 1 ]3
12272[ 0, 0, 0, 1, 1, 0 ]11
12285[ 0, 0, 0, 1, 1, 0 ]not 2, 3, 5, 11
12544[ 1, 0, 0, 1, 0, 0 ]5
13248[ 1, 0, 0, 1, 0, 0 ]11
13312[ 1, 0, 0, 1, 0, 0 ]not 3, 5, 11
14144[ 1, 0, 1, 0, 0, 0 ]7
14300[ 0, 1, 0, 0, 0, 1 ]not 2, 3
14912[ 3, 0, 0, 0, 0, 0 ]5

The characters


Highest weight: [ 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 ]11

Highest weight: [ 0, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 12

Level   dominant weight   weight multiplicity   length of W-orbit 
13[ 0, 0, 0, 0, 0, 1 ]112

Highest weight: [ 0, 0, 0, 0, 0, 1 ]
Characteristic: not 2
Dimension: 13

Level   dominant weight   weight multiplicity   length of W-orbit 
13[ 0, 0, 0, 0, 0, 1 ]112
1[ 0, 0, 0, 0, 0, 0 ]11

Highest weight: [ 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 64

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 0, 0, 0, 0, 1, 0 ]160
1[ 0, 0, 0, 0, 0, 0 ]41

Highest weight: [ 1, 0, 0, 0, 0, 0 ]
Characteristic: all
Dimension: 64

Level   dominant weight   weight multiplicity   length of W-orbit 
22[ 1, 0, 0, 0, 0, 0 ]164

Highest weight: [ 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 78

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 0, 0, 0, 0, 1, 0 ]160
13[ 0, 0, 0, 0, 0, 1 ]112
1[ 0, 0, 0, 0, 0, 0 ]61

Highest weight: [ 0, 0, 0, 0, 0, 2 ]
Characteristic: 13
Dimension: 89

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 0, 0, 0, 0, 2 ]112
23[ 0, 0, 0, 0, 1, 0 ]160
13[ 0, 0, 0, 0, 0, 1 ]112
1[ 0, 0, 0, 0, 0, 0 ]51

Highest weight: [ 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,13
Dimension: 90

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 0, 0, 0, 0, 2 ]112
23[ 0, 0, 0, 0, 1, 0 ]160
13[ 0, 0, 0, 0, 0, 1 ]112
1[ 0, 0, 0, 0, 0, 0 ]61

Highest weight: [ 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 208

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 0, 1, 0, 0 ]1160
13[ 0, 0, 0, 0, 0, 1 ]412

Highest weight: [ 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 286

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 0, 1, 0, 0 ]1160
23[ 0, 0, 0, 0, 1, 0 ]160
13[ 0, 0, 0, 0, 0, 1 ]512
1[ 0, 0, 0, 0, 0, 0 ]61

Highest weight: [ 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 364

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 1, 0, 0, 0 ]1240
23[ 0, 0, 0, 0, 1, 0 ]260
1[ 0, 0, 0, 0, 0, 0 ]41

Highest weight: [ 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 416

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]1160
25[ 0, 0, 0, 0, 0, 2 ]112
23[ 0, 0, 0, 0, 1, 0 ]160
13[ 0, 0, 0, 0, 0, 1 ]512
1[ 0, 0, 0, 0, 0, 0 ]41

Highest weight: [ 0, 0, 0, 0, 0, 3 ]
Characteristic: 5
Dimension: 429

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 0, 3 ]112
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]1160
25[ 0, 0, 0, 0, 0, 2 ]112
23[ 0, 0, 0, 0, 1, 0 ]160
13[ 0, 0, 0, 0, 0, 1 ]512
1[ 0, 0, 0, 0, 0, 0 ]51

Highest weight: [ 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,5
Dimension: 442

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 0, 3 ]112
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]1160
25[ 0, 0, 0, 0, 0, 2 ]112
23[ 0, 0, 0, 0, 1, 0 ]160
13[ 0, 0, 0, 0, 0, 1 ]612
1[ 0, 0, 0, 0, 0, 0 ]61

Highest weight: [ 0, 0, 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 560

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]2160
13[ 0, 0, 0, 0, 0, 1 ]1012

Highest weight: [ 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 560

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 1, 0, 0, 0, 0 ]1192
31[ 0, 0, 0, 1, 0, 0 ]2160
13[ 0, 0, 0, 0, 0, 1 ]412

Highest weight: [ 1, 0, 0, 0, 0, 1 ]
Characteristic: 13
Dimension: 704

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 1, 0, 0, 0, 0, 1 ]1384
22[ 1, 0, 0, 0, 0, 0 ]564

Highest weight: [ 0, 0, 0, 0, 1, 1 ]
Characteristic: not 2,3
Dimension: 715

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]2160
25[ 0, 0, 0, 0, 0, 2 ]112
23[ 0, 0, 0, 0, 1, 0 ]260
13[ 0, 0, 0, 0, 0, 1 ]1112
1[ 0, 0, 0, 0, 0, 0 ]111

Highest weight: [ 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 715

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 1, 0, 0, 0 ]1240
31[ 0, 0, 0, 1, 0, 0 ]1160
23[ 0, 0, 0, 0, 1, 0 ]460
13[ 0, 0, 0, 0, 0, 1 ]512
1[ 0, 0, 0, 0, 0, 0 ]151

Highest weight: [ 1, 0, 0, 0, 0, 1 ]
Characteristic: not 13
Dimension: 768

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 1, 0, 0, 0, 0, 1 ]1384
22[ 1, 0, 0, 0, 0, 0 ]664

Highest weight: [ 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 1287

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 1, 0, 0, 0, 0 ]1192
37[ 0, 0, 1, 0, 0, 0 ]1240
31[ 0, 0, 0, 1, 0, 0 ]3160
23[ 0, 0, 0, 0, 1, 0 ]460
13[ 0, 0, 0, 0, 0, 1 ]1012
1[ 0, 0, 0, 0, 0, 0 ]151

Highest weight: [ 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 1508

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 1, 0, 1 ]1480
37[ 0, 0, 1, 0, 0, 0 ]2240
25[ 0, 0, 0, 0, 0, 2 ]412
23[ 0, 0, 0, 0, 1, 0 ]860
1[ 0, 0, 0, 0, 0, 0 ]201

Highest weight: [ 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 1559

Level   dominant weight   weight multiplicity   length of W-orbit 
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
37[ 0, 0, 1, 0, 0, 0 ]1240
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]1160
25[ 0, 0, 0, 0, 0, 2 ]512
23[ 0, 0, 0, 0, 1, 0 ]660
13[ 0, 0, 0, 0, 0, 1 ]512
1[ 0, 0, 0, 0, 0, 0 ]191

Highest weight: [ 0, 0, 0, 0, 0, 4 ]
Characteristic: 17
Dimension: 1639

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 4 ]112
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
37[ 0, 0, 1, 0, 0, 0 ]1240
37[ 0, 0, 0, 0, 0, 3 ]112
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]1160
25[ 0, 0, 0, 0, 0, 2 ]512
23[ 0, 0, 0, 0, 1, 0 ]560
13[ 0, 0, 0, 0, 0, 1 ]512
1[ 0, 0, 0, 0, 0, 0 ]151

Highest weight: [ 2, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 1716

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 2, 0, 0, 0, 0, 0 ]164
41[ 0, 1, 0, 0, 0, 0 ]1192
37[ 0, 0, 1, 0, 0, 0 ]2240
31[ 0, 0, 0, 1, 0, 0 ]3160
23[ 0, 0, 0, 0, 1, 0 ]660
13[ 0, 0, 0, 0, 0, 1 ]1012
1[ 0, 0, 0, 0, 0, 0 ]201

Highest weight: [ 0, 0, 0, 0, 0, 4 ]
Characteristic: 5
Dimension: 1728

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 4 ]112
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
37[ 0, 0, 1, 0, 0, 0 ]1240
37[ 0, 0, 0, 0, 0, 3 ]112
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]1160
25[ 0, 0, 0, 0, 0, 2 ]612
23[ 0, 0, 0, 0, 1, 0 ]660
13[ 0, 0, 0, 0, 0, 1 ]612
1[ 0, 0, 0, 0, 0, 0 ]201

Highest weight: [ 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,5,17
Dimension: 1729

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 4 ]112
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
37[ 0, 0, 1, 0, 0, 0 ]1240
37[ 0, 0, 0, 0, 0, 3 ]112
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]1160
25[ 0, 0, 0, 0, 0, 2 ]612
23[ 0, 0, 0, 0, 1, 0 ]660
13[ 0, 0, 0, 0, 0, 1 ]612
1[ 0, 0, 0, 0, 0, 0 ]211

Highest weight: [ 0, 0, 0, 0, 2, 0 ]
Characteristic: 11
Dimension: 2185

Level   dominant weight   weight multiplicity   length of W-orbit 
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
37[ 0, 0, 1, 0, 0, 0 ]2240
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]2160
25[ 0, 0, 0, 0, 0, 2 ]412
23[ 0, 0, 0, 0, 1, 0 ]960
13[ 0, 0, 0, 0, 0, 1 ]912
1[ 0, 0, 0, 0, 0, 0 ]291

Highest weight: [ 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,11
Dimension: 2275

Level   dominant weight   weight multiplicity   length of W-orbit 
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
37[ 0, 0, 1, 0, 0, 0 ]2240
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]2160
25[ 0, 0, 0, 0, 0, 2 ]512
23[ 0, 0, 0, 0, 1, 0 ]1060
13[ 0, 0, 0, 0, 0, 1 ]1012
1[ 0, 0, 0, 0, 0, 0 ]351

Highest weight: [ 0, 0, 0, 1, 0, 1 ]
Characteristic: 11
Dimension: 2847

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 1, 0, 1 ]1480
37[ 0, 0, 1, 0, 0, 0 ]3240
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]3160
25[ 0, 0, 0, 0, 0, 2 ]512
23[ 0, 0, 0, 0, 1, 0 ]1360
13[ 0, 0, 0, 0, 0, 1 ]1412
1[ 0, 0, 0, 0, 0, 0 ]391

Highest weight: [ 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,11
Dimension: 2925

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 1, 0, 1 ]1480
37[ 0, 0, 1, 0, 0, 0 ]3240
35[ 0, 0, 0, 0, 1, 1 ]1120
31[ 0, 0, 0, 1, 0, 0 ]3160
25[ 0, 0, 0, 0, 0, 2 ]512
23[ 0, 0, 0, 0, 1, 0 ]1460
13[ 0, 0, 0, 0, 0, 1 ]1512
1[ 0, 0, 0, 0, 0, 0 ]451

Highest weight: [ 1, 0, 0, 0, 1, 0 ]
Characteristic: 11
Dimension: 3392

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 1, 0, 0, 0, 1, 0 ]1960
34[ 1, 0, 0, 0, 0, 1 ]4384
22[ 1, 0, 0, 0, 0, 0 ]1464

Highest weight: [ 0, 0, 1, 0, 0, 1 ]
Characteristic: 2
Dimension: 3808

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 1, 0, 0, 1 ]1960
41[ 0, 1, 0, 0, 0, 0 ]4192
35[ 0, 0, 0, 0, 1, 1 ]2120
31[ 0, 0, 0, 1, 0, 0 ]10160
13[ 0, 0, 0, 0, 0, 1 ]2012

Highest weight: [ 0, 0, 0, 0, 1, 2 ]
Characteristic: 13
Dimension: 3838

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]2480
37[ 0, 0, 1, 0, 0, 0 ]3240
37[ 0, 0, 0, 0, 0, 3 ]112
35[ 0, 0, 0, 0, 1, 1 ]2120
31[ 0, 0, 0, 1, 0, 0 ]3160
25[ 0, 0, 0, 0, 0, 2 ]1012
23[ 0, 0, 0, 0, 1, 0 ]1560
13[ 0, 0, 0, 0, 0, 1 ]1512
1[ 0, 0, 0, 0, 0, 0 ]461

Highest weight: [ 0, 0, 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 3849

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]2480
37[ 0, 0, 1, 0, 0, 0 ]3240
37[ 0, 0, 0, 0, 0, 3 ]112
35[ 0, 0, 0, 0, 1, 1 ]2120
31[ 0, 0, 0, 1, 0, 0 ]3160
25[ 0, 0, 0, 0, 0, 2 ]1112
23[ 0, 0, 0, 0, 1, 0 ]1560
13[ 0, 0, 0, 0, 0, 1 ]1512
1[ 0, 0, 0, 0, 0, 0 ]451

Highest weight: [ 0, 0, 0, 0, 1, 2 ]
Characteristic: 5
Dimension: 3849

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]2480
37[ 0, 0, 1, 0, 0, 0 ]3240
37[ 0, 0, 0, 0, 0, 3 ]112
35[ 0, 0, 0, 0, 1, 1 ]2120
31[ 0, 0, 0, 1, 0, 0 ]3160
25[ 0, 0, 0, 0, 0, 2 ]1112
23[ 0, 0, 0, 0, 1, 0 ]1560
13[ 0, 0, 0, 0, 0, 1 ]1512
1[ 0, 0, 0, 0, 0, 0 ]451

Highest weight: [ 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,3,5,13
Dimension: 3927

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]2480
37[ 0, 0, 1, 0, 0, 0 ]3240
37[ 0, 0, 0, 0, 0, 3 ]112
35[ 0, 0, 0, 0, 1, 1 ]2120
31[ 0, 0, 0, 1, 0, 0 ]3160
25[ 0, 0, 0, 0, 0, 2 ]1112
23[ 0, 0, 0, 0, 1, 0 ]1660
13[ 0, 0, 0, 0, 0, 1 ]1612
1[ 0, 0, 0, 0, 0, 0 ]511

Highest weight: [ 1, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 4096

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 1, 0, 0, 0, 1, 0 ]1960
34[ 1, 0, 0, 0, 0, 1 ]5384
22[ 1, 0, 0, 0, 0, 0 ]1964

Highest weight: [ 1, 0, 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 4096

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 1, 0, 0, 0, 1, 0 ]1960
34[ 1, 0, 0, 0, 0, 1 ]5384
22[ 1, 0, 0, 0, 0, 0 ]1964

Highest weight: [ 1, 0, 0, 0, 1, 0 ]
Characteristic: not 2,3,11
Dimension: 4160

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 1, 0, 0, 0, 1, 0 ]1960
34[ 1, 0, 0, 0, 0, 1 ]5384
22[ 1, 0, 0, 0, 0, 0 ]2064

Highest weight: [ 1, 0, 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 4224

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 1, 0, 0, 0, 0, 2 ]1384
44[ 1, 0, 0, 0, 1, 0 ]1960
34[ 1, 0, 0, 0, 0, 1 ]5384
22[ 1, 0, 0, 0, 0, 0 ]1564

Highest weight: [ 1, 0, 0, 0, 0, 2 ]
Characteristic: 5
Dimension: 4224

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 1, 0, 0, 0, 0, 2 ]1384
44[ 1, 0, 0, 0, 1, 0 ]1960
34[ 1, 0, 0, 0, 0, 1 ]5384
22[ 1, 0, 0, 0, 0, 0 ]1564

Highest weight: [ 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 4563

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]1960
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
41[ 0, 1, 0, 0, 0, 0 ]1192
37[ 0, 0, 1, 0, 0, 0 ]1240
35[ 0, 0, 0, 0, 1, 1 ]5120
31[ 0, 0, 0, 1, 0, 0 ]6160
25[ 0, 0, 0, 0, 0, 2 ]412
23[ 0, 0, 0, 0, 1, 0 ]560
13[ 0, 0, 0, 0, 0, 1 ]1912
1[ 0, 0, 0, 0, 0, 0 ]151

Highest weight: [ 1, 0, 0, 0, 0, 2 ]
Characteristic: not 2,3,5
Dimension: 4992

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 1, 0, 0, 0, 0, 2 ]1384
44[ 1, 0, 0, 0, 1, 0 ]1960
34[ 1, 0, 0, 0, 0, 1 ]6384
22[ 1, 0, 0, 0, 0, 0 ]2164

Highest weight: [ 0, 1, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 5136

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 1, 0, 0, 0, 1 ]1960
43[ 2, 0, 0, 0, 0, 0 ]464
43[ 0, 0, 0, 1, 0, 1 ]2480
37[ 0, 0, 1, 0, 0, 0 ]8240
25[ 0, 0, 0, 0, 0, 2 ]412
23[ 0, 0, 0, 0, 1, 0 ]1660
1[ 0, 0, 0, 0, 0, 0 ]321

Highest weight: [ 0, 0, 0, 0, 0, 5 ]
Characteristic: 19
Dimension: 5291

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 5 ]112
59[ 0, 0, 0, 0, 1, 3 ]1120
57[ 0, 0, 0, 0, 2, 1 ]1120
55[ 0, 0, 0, 1, 0, 2 ]1480
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]1960
49[ 0, 0, 0, 0, 0, 4 ]112
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
41[ 0, 1, 0, 0, 0, 0 ]1192
37[ 0, 0, 1, 0, 0, 0 ]1240
37[ 0, 0, 0, 0, 0, 3 ]512
35[ 0, 0, 0, 0, 1, 1 ]5120
31[ 0, 0, 0, 1, 0, 0 ]5160
25[ 0, 0, 0, 0, 0, 2 ]512
23[ 0, 0, 0, 0, 1, 0 ]560
13[ 0, 0, 0, 0, 0, 1 ]1512
1[ 0, 0, 0, 0, 0, 0 ]151

Highest weight: [ 0, 0, 0, 0, 0, 5 ]
Characteristic: 17
Dimension: 5720

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 5 ]112
59[ 0, 0, 0, 0, 1, 3 ]1120
57[ 0, 0, 0, 0, 2, 1 ]1120
55[ 0, 0, 0, 1, 0, 2 ]1480
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]1960
49[ 0, 0, 0, 0, 0, 4 ]112
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
41[ 0, 1, 0, 0, 0, 0 ]1192
37[ 0, 0, 1, 0, 0, 0 ]1240
37[ 0, 0, 0, 0, 0, 3 ]612
35[ 0, 0, 0, 0, 1, 1 ]6120
31[ 0, 0, 0, 1, 0, 0 ]6160
25[ 0, 0, 0, 0, 0, 2 ]612
23[ 0, 0, 0, 0, 1, 0 ]660
13[ 0, 0, 0, 0, 0, 1 ]2012
1[ 0, 0, 0, 0, 0, 0 ]201

Highest weight: [ 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 5720

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 1, 3 ]1120
57[ 0, 0, 0, 0, 2, 1 ]1120
55[ 0, 0, 0, 1, 0, 2 ]1480
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]1960
49[ 0, 0, 0, 0, 0, 4 ]112
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
41[ 0, 1, 0, 0, 0, 0 ]1192
37[ 0, 0, 1, 0, 0, 0 ]1240
37[ 0, 0, 0, 0, 0, 3 ]612
35[ 0, 0, 0, 0, 1, 1 ]6120
31[ 0, 0, 0, 1, 0, 0 ]6160
25[ 0, 0, 0, 0, 0, 2 ]612
23[ 0, 0, 0, 0, 1, 0 ]660
13[ 0, 0, 0, 0, 0, 1 ]2112
1[ 0, 0, 0, 0, 0, 0 ]201

Highest weight: [ 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5,17,19
Dimension: 5733

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 5 ]112
59[ 0, 0, 0, 0, 1, 3 ]1120
57[ 0, 0, 0, 0, 2, 1 ]1120
55[ 0, 0, 0, 1, 0, 2 ]1480
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]1960
49[ 0, 0, 0, 0, 0, 4 ]112
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]1480
41[ 0, 1, 0, 0, 0, 0 ]1192
37[ 0, 0, 1, 0, 0, 0 ]1240
37[ 0, 0, 0, 0, 0, 3 ]612
35[ 0, 0, 0, 0, 1, 1 ]6120
31[ 0, 0, 0, 1, 0, 0 ]6160
25[ 0, 0, 0, 0, 0, 2 ]612
23[ 0, 0, 0, 0, 1, 0 ]660
13[ 0, 0, 0, 0, 0, 1 ]2112
1[ 0, 0, 0, 0, 0, 0 ]211

Highest weight: [ 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 6149

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 1, 0, 0, 1 ]1960
43[ 0, 0, 0, 1, 0, 1 ]1480
41[ 0, 1, 0, 0, 0, 0 ]3192
37[ 0, 0, 1, 0, 0, 0 ]3240
35[ 0, 0, 0, 0, 1, 1 ]4120
31[ 0, 0, 0, 1, 0, 0 ]11160
25[ 0, 0, 0, 0, 0, 2 ]512
23[ 0, 0, 0, 0, 1, 0 ]1260
13[ 0, 0, 0, 0, 0, 1 ]3012
1[ 0, 0, 0, 0, 0, 0 ]331

Highest weight: [ 0, 0, 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 7216

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]2960
41[ 0, 1, 0, 0, 0, 0 ]4192
35[ 0, 0, 0, 0, 1, 1 ]8120
31[ 0, 0, 0, 1, 0, 0 ]16160
13[ 0, 0, 0, 0, 0, 1 ]4412

Highest weight: [ 0, 0, 1, 0, 0, 1 ]
Characteristic: not 2,5
Dimension: 7722

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 1, 0, 0, 1 ]1960
43[ 0, 0, 0, 1, 0, 1 ]1480
41[ 0, 1, 0, 0, 0, 0 ]4192
37[ 0, 0, 1, 0, 0, 0 ]4240
35[ 0, 0, 0, 0, 1, 1 ]4120
31[ 0, 0, 0, 1, 0, 0 ]15160
25[ 0, 0, 0, 0, 0, 2 ]512
23[ 0, 0, 0, 0, 1, 0 ]1760
13[ 0, 0, 0, 0, 0, 1 ]4512
1[ 0, 0, 0, 0, 0, 0 ]541

Highest weight: [ 1, 0, 0, 1, 0, 0 ]
Characteristic: 3
Dimension: 9152

Level   dominant weight   weight multiplicity   length of W-orbit 
52[ 1, 0, 0, 1, 0, 0 ]11280
44[ 1, 0, 0, 0, 1, 0 ]3960
34[ 1, 0, 0, 0, 0, 1 ]9384
22[ 1, 0, 0, 0, 0, 0 ]2464

Highest weight: [ 1, 1, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 9216

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 1, 1, 0, 0, 0, 0 ]1384
58[ 1, 0, 1, 0, 0, 0 ]1960
52[ 1, 0, 0, 1, 0, 0 ]21280
44[ 1, 0, 0, 0, 1, 0 ]3960
34[ 1, 0, 0, 0, 0, 1 ]5384
22[ 1, 0, 0, 0, 0, 0 ]864

Highest weight: [ 0, 0, 0, 2, 0, 0 ]
Characteristic: 3
Dimension: 9516

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 2, 0, 0 ]1160
59[ 0, 0, 1, 0, 1, 0 ]11440
53[ 0, 1, 0, 0, 0, 1 ]1960
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]1960
45[ 0, 0, 0, 0, 2, 0 ]360
43[ 2, 0, 0, 0, 0, 0 ]164
43[ 0, 0, 0, 1, 0, 1 ]4480
41[ 0, 1, 0, 0, 0, 0 ]1192
37[ 0, 0, 1, 0, 0, 0 ]5240
35[ 0, 0, 0, 0, 1, 1 ]3120
31[ 0, 0, 0, 1, 0, 0 ]4160
25[ 0, 0, 0, 0, 0, 2 ]912
23[ 0, 0, 0, 0, 1, 0 ]1260
13[ 0, 0, 0, 0, 0, 1 ]912
1[ 0, 0, 0, 0, 0, 0 ]241

Highest weight: [ 0, 0, 0, 1, 0, 2 ]
Characteristic: 5
Dimension: 10582

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 0, 1, 0, 2 ]1480
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]2960
47[ 0, 0, 0, 0, 1, 2 ]1120
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]2480
41[ 0, 1, 0, 0, 0, 0 ]3192
37[ 0, 0, 1, 0, 0, 0 ]3240
37[ 0, 0, 0, 0, 0, 3 ]512
35[ 0, 0, 0, 0, 1, 1 ]10120
31[ 0, 0, 0, 1, 0, 0 ]15160
25[ 0, 0, 0, 0, 0, 2 ]1012
23[ 0, 0, 0, 0, 1, 0 ]1560
13[ 0, 0, 0, 0, 0, 1 ]4512
1[ 0, 0, 0, 0, 0, 0 ]461

Highest weight: [ 0, 0, 1, 0, 1, 0 ]
Characteristic: 2
Dimension: 11220

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 1, 0, 1, 0 ]11440
53[ 0, 1, 0, 0, 0, 1 ]2960
45[ 0, 0, 0, 0, 2, 0 ]260
43[ 2, 0, 0, 0, 0, 0 ]464
43[ 0, 0, 0, 1, 0, 1 ]6480
37[ 0, 0, 1, 0, 0, 0 ]12240
25[ 0, 0, 0, 0, 0, 2 ]1012
23[ 0, 0, 0, 0, 1, 0 ]2660
1[ 0, 0, 0, 0, 0, 0 ]441

Highest weight: [ 0, 0, 0, 1, 1, 0 ]
Characteristic: 5
Dimension: 11570

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]2960
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]2480
41[ 0, 1, 0, 0, 0, 0 ]5192
37[ 0, 0, 1, 0, 0, 0 ]5240
35[ 0, 0, 0, 0, 1, 1 ]8120
31[ 0, 0, 0, 1, 0, 0 ]19160
25[ 0, 0, 0, 0, 0, 2 ]812
23[ 0, 0, 0, 0, 1, 0 ]2060
13[ 0, 0, 0, 0, 0, 1 ]5312
1[ 0, 0, 0, 0, 0, 0 ]581

Highest weight: [ 0, 1, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 11869

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 1, 0, 0, 0, 1 ]1960
49[ 0, 0, 1, 0, 0, 1 ]1960
43[ 2, 0, 0, 0, 0, 0 ]464
43[ 0, 0, 0, 1, 0, 1 ]3480
41[ 0, 1, 0, 0, 0, 0 ]4192
37[ 0, 0, 1, 0, 0, 0 ]11240
35[ 0, 0, 0, 0, 1, 1 ]4120
31[ 0, 0, 0, 1, 0, 0 ]13160
25[ 0, 0, 0, 0, 0, 2 ]1012
23[ 0, 0, 0, 0, 1, 0 ]2860
13[ 0, 0, 0, 0, 0, 1 ]3512
1[ 0, 0, 0, 0, 0, 0 ]651

Highest weight: [ 0, 0, 0, 1, 1, 0 ]
Characteristic: 11
Dimension: 12272

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]2960
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]2480
41[ 0, 1, 0, 0, 0, 0 ]5192
37[ 0, 0, 1, 0, 0, 0 ]5240
35[ 0, 0, 0, 0, 1, 1 ]9120
31[ 0, 0, 0, 1, 0, 0 ]21160
25[ 0, 0, 0, 0, 0, 2 ]912
23[ 0, 0, 0, 0, 1, 0 ]2260
13[ 0, 0, 0, 0, 0, 1 ]6312
1[ 0, 0, 0, 0, 0, 0 ]681

Highest weight: [ 0, 0, 0, 1, 1, 0 ]
Characteristic: not 2,3,5,11
Dimension: 12285

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 1, 1, 0 ]1480
49[ 0, 0, 1, 0, 0, 1 ]2960
45[ 0, 0, 0, 0, 2, 0 ]160
43[ 0, 0, 0, 1, 0, 1 ]2480
41[ 0, 1, 0, 0, 0, 0 ]5192
37[ 0, 0, 1, 0, 0, 0 ]5240
35[ 0, 0, 0, 0, 1, 1 ]9120
31[ 0, 0, 0, 1, 0, 0 ]21160
25[ 0, 0, 0, 0, 0, 2 ]912
23[ 0, 0, 0, 0, 1, 0 ]2260
13[ 0, 0, 0, 0, 0, 1 ]6412
1[ 0, 0, 0, 0, 0, 0 ]691

Highest weight: [ 1, 0, 0, 1, 0, 0 ]
Characteristic: 5
Dimension: 12544

Level   dominant weight   weight multiplicity   length of W-orbit 
52[ 1, 0, 0, 1, 0, 0 ]11280
44[ 1, 0, 0, 0, 1, 0 ]4960
34[ 1, 0, 0, 0, 0, 1 ]13384
22[ 1, 0, 0, 0, 0, 0 ]3864

Highest weight: [ 1, 0, 0, 1, 0, 0 ]
Characteristic: 11
Dimension: 13248

Level   dominant weight   weight multiplicity   length of W-orbit 
52[ 1, 0, 0, 1, 0, 0 ]11280
44[ 1, 0, 0, 0, 1, 0 ]4960
34[ 1, 0, 0, 0, 0, 1 ]14384
22[ 1, 0, 0, 0, 0, 0 ]4364

Highest weight: [ 1, 0, 0, 1, 0, 0 ]
Characteristic: not 3,5,11
Dimension: 13312

Level   dominant weight   weight multiplicity   length of W-orbit 
52[ 1, 0, 0, 1, 0, 0 ]11280
44[ 1, 0, 0, 0, 1, 0 ]4960
34[ 1, 0, 0, 0, 0, 1 ]14384
22[ 1, 0, 0, 0, 0, 0 ]4464

Highest weight: [ 1, 0, 1, 0, 0, 0 ]
Characteristic: 7
Dimension: 14144

Level   dominant weight   weight multiplicity   length of W-orbit 
58[ 1, 0, 1, 0, 0, 0 ]1960
52[ 1, 0, 0, 1, 0, 0 ]21280
44[ 1, 0, 0, 0, 1, 0 ]5960
34[ 1, 0, 0, 0, 0, 1 ]11384
22[ 1, 0, 0, 0, 0, 0 ]2564

Highest weight: [ 0, 1, 0, 0, 0, 1 ]
Characteristic: not 2,3
Dimension: 14300

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 1, 0, 0, 0, 1 ]1960
49[ 0, 0, 1, 0, 0, 1 ]1960
43[ 2, 0, 0, 0, 0, 0 ]564
43[ 0, 0, 0, 1, 0, 1 ]3480
41[ 0, 1, 0, 0, 0, 0 ]5192
37[ 0, 0, 1, 0, 0, 0 ]14240
35[ 0, 0, 0, 0, 1, 1 ]4120
31[ 0, 0, 0, 1, 0, 0 ]17160
25[ 0, 0, 0, 0, 0, 2 ]1012
23[ 0, 0, 0, 0, 1, 0 ]3860
13[ 0, 0, 0, 0, 0, 1 ]5012
1[ 0, 0, 0, 0, 0, 0 ]1001

Highest weight: [ 3, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 14912

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 3, 0, 0, 0, 0, 0 ]164
62[ 1, 1, 0, 0, 0, 0 ]1384
58[ 1, 0, 1, 0, 0, 0 ]2960
52[ 1, 0, 0, 1, 0, 0 ]31280
44[ 1, 0, 0, 0, 1, 0 ]5960
34[ 1, 0, 0, 0, 0, 1 ]8384
22[ 1, 0, 0, 0, 0, 0 ]1364