[Overview]

Weight Multiplicities

Groups of type C9, degree bound 40000

Diagram:

1 > 2 - .. - 9

Overview

DimensionHighest weightCharacteristic
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]all
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]all
151[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]3
152[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]not 3
171[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]not 2
512[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]2
780[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2
798[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]not 2
1122[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]3
1140[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]not 2, 3
1902[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]19
1920[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]not 3, 19
2755[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]7
2906[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]2
2907[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]not 2, 7
5661[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]3
5985[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]not 2, 3
6954[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]3
6972[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]2
7734[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]7
7752[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]not 2, 3, 7
8226[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]2
8416[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]5
8567[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]19
8568[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]not 2, 3, 5, 19
9216[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]2
9841[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]3
9842[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]3
11154[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]3
11305[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]not 2, 3
12597[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]5
14193[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]5
14364[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]not 2, 5
15353[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]3
15503[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]7
15504[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]not 3, 5, 7
15504[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]2
16778[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]5
16796[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]not 2, 3, 5
22288[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]2
22458[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]5
23256[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]3
23256[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]not 2, 5
25042[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]5
25194[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]not 2, 3, 5
26316[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]5
26334[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]not 2, 3, 5
36024[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]5

The characters

Highest weight: [ 0, 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, 0 ]11

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: all
Dimension: 18

Level   dominant weight   weight multiplicity   length of W-orbit 
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]118

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 151

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]71

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 3
Dimension: 152

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2
Dimension: 171

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]118
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]91

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 512

Level   dominant weight   weight multiplicity   length of W-orbit 
82[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]1512

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 780

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]618

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 798

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]718

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 1122

Level   dominant weight   weight multiplicity   length of W-orbit 
50[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]918

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3
Dimension: 1140

Level   dominant weight   weight multiplicity   length of W-orbit 
52[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
50[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]918

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 19
Dimension: 1902

Level   dominant weight   weight multiplicity   length of W-orbit 
50[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1518

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 3,19
Dimension: 1920

Level   dominant weight   weight multiplicity   length of W-orbit 
50[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1618

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 7
Dimension: 2755

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]5144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]191

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 2906

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]6144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]261

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2,7
Dimension: 2907

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]6144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]271

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 5661

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]9144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]451

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3
Dimension: 5985

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]118
67[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
65[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]918
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]9144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]451

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 6954

Level   dominant weight   weight multiplicity   length of W-orbit 
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]4672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1318

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 6972

Level   dominant weight   weight multiplicity   length of W-orbit 
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]4672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1418

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 7
Dimension: 7734

Level   dominant weight   weight multiplicity   length of W-orbit 
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]5672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1918

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2,3,7
Dimension: 7752

Level   dominant weight   weight multiplicity   length of W-orbit 
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]5672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2018

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 8226

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]618
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]14144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]541

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 5
Dimension: 8416

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]14144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]641

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 19
Dimension: 8567

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]15144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]711

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,5,19
Dimension: 8568

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]15144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]721

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 9216

Level   dominant weight   weight multiplicity   length of W-orbit 
99[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]14608
81[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]22304

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 9841

Level   dominant weight   weight multiplicity   length of W-orbit 
81[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]12304
73[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]15376
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]11

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 9842

Level   dominant weight   weight multiplicity   length of W-orbit 
82[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]1512
78[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]118

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 3
Dimension: 11154

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]718
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]20144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]841

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,3
Dimension: 11305

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]718
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]21144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]911

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 12597

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]15376
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]211

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 5
Dimension: 14193

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
65[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]22016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]1518
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]23144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]991

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,5
Dimension: 14364

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
65[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
63[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]22016
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
35[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]1618
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]24144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]1081

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 15353

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]15376
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]42016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]13144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]411

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 7
Dimension: 15503

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]15376
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]42016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]14144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]471

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 3,5,7
Dimension: 15504

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]15376
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]42016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]14144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]481

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 15504

Level   dominant weight   weight multiplicity   length of W-orbit 
78[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]24032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]4672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 16778

Level   dominant weight   weight multiplicity   length of W-orbit 
82[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]1512
78[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]24032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]5672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1318

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2,3,5
Dimension: 16796

Level   dominant weight   weight multiplicity   length of W-orbit 
82[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]1512
78[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]24032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]5672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1418

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 22288

Level   dominant weight   weight multiplicity   length of W-orbit 
81[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]12304
73[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]25376
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]42016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]161

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 22458

Level   dominant weight   weight multiplicity   length of W-orbit 
78[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]34032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]8672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2118

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 23256

Level   dominant weight   weight multiplicity   length of W-orbit 
78[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
74[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
50[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]8288
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]9672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]4418

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2,5
Dimension: 23256

Level   dominant weight   weight multiplicity   length of W-orbit 
78[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]34032
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]9672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2818

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 25042

Level   dominant weight   weight multiplicity   length of W-orbit 
81[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]12304
73[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]25376
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]52016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]13144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]341

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2,3,5
Dimension: 25194

Level   dominant weight   weight multiplicity   length of W-orbit 
81[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]12304
73[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]25376
57[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]52016
33[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]14144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]421

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 26316

Level   dominant weight   weight multiplicity   length of W-orbit 
84[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]1288
82[ 0, 0, 0, 0, 0, 0, 0, 2, 1 ]1288
80[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]12016
78[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
74[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
52[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]918
50[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]9288
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]9672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]4518

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5
Dimension: 26334

Level   dominant weight   weight multiplicity   length of W-orbit 
86[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]118
84[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]1288
82[ 0, 0, 0, 0, 0, 0, 0, 2, 1 ]1288
80[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]12016
78[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
74[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
52[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]918
50[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]9288
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]9672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]4518

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 36024

Level   dominant weight   weight multiplicity   length of W-orbit 
74[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
66[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]34032
50[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]6288
46[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]19672
18[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]7618