[Overview]

Weight Multiplicities

Groups of type D9, degree bound 70000

Diagram:

 1
  \
   3 - 4 - .. - 9
  /
 2

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
152[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]2
153[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]not 2
169[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]3
170[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]not 2, 3
256[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]all
256[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]all
780[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2
816[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]not 2
1104[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]5
1104[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]3
1122[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]not 2, 3, 5
1902[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]17
1920[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]not 3, 17
2906[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]2
3060[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]not 2
4096[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]3
4096[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]3
4352[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]not 3
4352[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]not 3
5490[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]3
5644[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]11
5813[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]5
5814[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]not 2, 3, 5, 11
6972[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]2
8226[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]2
8549[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]17
8550[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]not 2, 3, 17
8568[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]not 2
11475[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]not 2
14043[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]3
14059[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]5
14212[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]not 2, 3, 5
15504[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]2
15504[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]2
18564[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]not 2
21030[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]3
22288[ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]2
24310[ 0, 2, 0, 0, 0, 0, 0, 0, 0 ]not 2
24310[ 2, 0, 0, 0, 0, 0, 0, 0, 0 ]not 2
25176[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]11
25176[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]5
25194[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]not 2, 3, 5, 11
30208[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]2
30208[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]2
31824[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]not 2
34304[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]17
34304[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]17
34560[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]not 2, 17
34560[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]not 2, 17
34816[ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]5
34816[ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]5
36312[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]5
39168[ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]not 2, 5
39168[ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]not 2, 5
43758[ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]not 2
43776[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]2
44880[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]3
45696[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]not 2, 3, 5
53160[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]5
59244[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]2
65910[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]5
67830[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]not 2, 3, 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 
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]118

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

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 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: 153

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]91

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 169

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]118
31[ 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, 0, 2 ]
Characteristic: not 2,3
Dimension: 170

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]118
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: all
Dimension: 256

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]1256

Highest weight: [ 1, 0, 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, 0 ]1256

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

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
17[ 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: 816

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: 5
Dimension: 1104

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]718

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 1104

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,5
Dimension: 1122

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]118
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]1672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 17
Dimension: 1902

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1518

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 3,17
Dimension: 1920

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1618

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

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
31[ 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: 3060

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]7144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]361

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

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]12304
37[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]7256

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

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]12304
37[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]7256

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 3
Dimension: 4352

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]12304
37[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]8256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 3
Dimension: 4352

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]12304
37[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]8256

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 5490

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]718
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]361

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 11
Dimension: 5644

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]118
63[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
61[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]718
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]7144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]281

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 5
Dimension: 5813

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]118
63[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
61[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]351

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,5,11
Dimension: 5814

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]118
63[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
61[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]12016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8144
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 
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]4672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1418

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

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]618
31[ 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: 17
Dimension: 8549

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]718
31[ 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 2,3,17
Dimension: 8550

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]22016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]718
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]15144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]721

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 8568

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]6672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2818

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2
Dimension: 11475

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]12016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]818
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]22144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]991

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 14043

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
61[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]22016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]1518
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]22144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]931

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 5
Dimension: 14059

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
61[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]22016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]1618
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]22144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]911

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,3,5
Dimension: 14212

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]1288
61[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]1144
59[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]22016
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]32016
33[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]1618
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]23144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]1001

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

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]15376
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]42016
31[ 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 
71[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]24032
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]4672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]818

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 18564

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]15376
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]52016
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]21144
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: 21030

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]6288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]7672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2718

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

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]12304
67[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]25376
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]42016
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]161

Highest weight: [ 0, 2, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 24310

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 2, 0, 0, 0, 0, 0, 0, 0 ]1256
71[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]34032
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]10672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]3518

Highest weight: [ 2, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 24310

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 2, 0, 0, 0, 0, 0, 0, 0, 0 ]1256
71[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]34032
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]10672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]3518

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 11
Dimension: 25176

Level   dominant weight   weight multiplicity   length of W-orbit 
81[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]118
79[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]1288
77[ 0, 0, 0, 0, 0, 0, 0, 2, 1 ]1288
75[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]12016
73[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
49[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]818
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]8288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]8672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]3518

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 25176

Level   dominant weight   weight multiplicity   length of W-orbit 
79[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]1288
77[ 0, 0, 0, 0, 0, 0, 0, 2, 1 ]1288
75[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]12016
73[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
49[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]818
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]8288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]8672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]3618

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5,11
Dimension: 25194

Level   dominant weight   weight multiplicity   length of W-orbit 
81[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]118
79[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]1288
77[ 0, 0, 0, 0, 0, 0, 0, 2, 1 ]1288
75[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]12016
73[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]14032
49[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]818
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]8288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]8672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]3618

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 30208

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]62304
37[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]28256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 30208

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]62304
37[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]28256

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 31824

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]14608
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]44032
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]15672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]5618

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 17
Dimension: 34304

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]72304
37[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]35256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 17
Dimension: 34304

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]72304
37[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]35256

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2,17
Dimension: 34560

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]72304
37[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]36256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2,17
Dimension: 34560

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]72304
37[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]36256

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 5
Dimension: 34816

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]12304
67[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]72304
37[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]28256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 5
Dimension: 34816

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]12304
67[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]72304
37[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]28256

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 36312

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]34032
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]7288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]19672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]7618

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,5
Dimension: 39168

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]12304
67[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]82304
37[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]36256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,5
Dimension: 39168

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]12304
67[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]19216
53[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]82304
37[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]36256

Highest weight: [ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 43758

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]12304
67[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]35376
53[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]102016
31[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]35144
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]1261

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 2
Dimension: 43776

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]44032
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]6288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]24672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]9618

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 3
Dimension: 44880

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]44032
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]7288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]25672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]10418

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 45696

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]18064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]44032
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]7288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]26672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]11218

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]
Characteristic: 5
Dimension: 53160

Level   dominant weight   weight multiplicity   length of W-orbit 
75[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]12016
73[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]28064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]34032
49[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]818
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]15288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]22672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]9218

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 59244

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]28064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]44032
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]14288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]28672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]11818

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 5
Dimension: 65910

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]28064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]54032
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]13288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]32672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]13118

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: not 2,3,5
Dimension: 67830

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]12016
69[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]28064
61[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]54032
47[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]14288
43[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]34672
17[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]14718