[Overview]

Weight Multiplicities

Groups of type B9, degree bound 30000

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 ]2
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]not 2
152[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]2
171[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]not 2
188[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]19
189[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]not 2, 19
512[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]all
780[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2
969[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]not 2
1273[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]3
1292[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]7
1311[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]not 2, 3, 7
1920[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]2
2261[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]not 2, 3
2906[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]2
3876[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]not 2
6763[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]3
6936[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]23
6972[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]2
7124[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]7
7125[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]not 2, 3, 7, 23
8226[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]2
8704[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]19
9216[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]not 19
10451[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]17
10640[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]not 2, 3, 17
11628[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]not 2
14193[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]17
14364[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]not 2, 17
15504[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]2
15504[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]2
17407[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]19
17424[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]3
17424[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]7
17595[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]not 2, 3, 7, 19
22288[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]2
27132[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]not 2
28728[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]3

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: 2
Dimension: 18

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]118

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 2
Dimension: 19

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]118
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]11

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 152

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 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, 1, 0 ]
Characteristic: not 2
Dimension: 171

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]118
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]91

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 19
Dimension: 188

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]118
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]118
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,19
Dimension: 189

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]118
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]118
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]91

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

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 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 
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
19[ 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: 969

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]91

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 1273

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]118
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]71

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: 7
Dimension: 1292

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]118
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,7
Dimension: 1311

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]118
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]918
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]91

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 1920

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2672
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1618

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 2,3
Dimension: 2261

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]118
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]2144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1718
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]171

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

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
35[ 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
Dimension: 3876

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]7144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]361

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 6763

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]9144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]431

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 23
Dimension: 6936

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]118
71[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
55[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]361

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

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]4672
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1418

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 7
Dimension: 7124

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]118
71[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
55[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]918
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]9144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]918
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]441

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,7,23
Dimension: 7125

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]118
71[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
55[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]918
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]9144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]918
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]451

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

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]618
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]14144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]541

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 19
Dimension: 8704

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]14608
46[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]8512

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 19
Dimension: 9216

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]14608
46[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]9512

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 17
Dimension: 10451

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]718
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]15144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1518
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]711

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,17
Dimension: 10640

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]16144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1618
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]801

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 11628

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]6672
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]7144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2818
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]361

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 17
Dimension: 14193

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]3672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]22144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2318
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]991

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,17
Dimension: 14364

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]3672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]23144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2418
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]1081

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

Level   dominant weight   weight multiplicity   length of W-orbit 
79[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]15376
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]42016
35[ 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 
85[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
71[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]24032
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]4672
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 19
Dimension: 17407

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]22016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
55[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]2288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]3672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]1618
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]24144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2418
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]1091

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 17424

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]22016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
55[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]2288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]3672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]1718
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]24144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2418
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]1081

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 7
Dimension: 17424

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]22016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
55[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]2288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]3672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]1718
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]24144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2418
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]1081

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,3,7,19
Dimension: 17595

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]22016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
55[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]2288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]3672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]1718
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]25144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2518
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]1171

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

Level   dominant weight   weight multiplicity   length of W-orbit 
89[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]12304
79[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]25376
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]42016
35[ 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, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 27132

Level   dominant weight   weight multiplicity   length of W-orbit 
79[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]15376
71[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]52016
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]6672
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]21144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2818
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]841

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 28728

Level   dominant weight   weight multiplicity   length of W-orbit 
83[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
79[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
71[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
69[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
67[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
61[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
53[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]8288
49[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]9672
37[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]718
35[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8144
19[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]4318
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]361