[Overview]

Weight Multiplicities

Groups of type D6, degree bound 4000

Diagram:

 1
  \
   3 - 4 - .. - 6
  /
 2

Overview

DimensionHighest weightCharacteristic
1[ 0, 0, 0, 0, 0, 0 ]all
12[ 0, 0, 0, 0, 0, 1 ]all
32[ 0, 1, 0, 0, 0, 0 ]all
32[ 1, 0, 0, 0, 0, 0 ]all
64[ 0, 0, 0, 0, 1, 0 ]2
66[ 0, 0, 0, 0, 1, 0 ]not 2
76[ 0, 0, 0, 0, 0, 2 ]3
77[ 0, 0, 0, 0, 0, 2 ]not 2, 3
208[ 0, 0, 0, 1, 0, 0 ]2
220[ 0, 0, 0, 1, 0, 0 ]not 2
320[ 0, 1, 0, 0, 0, 1 ]2
320[ 0, 1, 0, 0, 0, 1 ]3
320[ 1, 0, 0, 0, 0, 1 ]2
320[ 1, 0, 0, 0, 0, 1 ]3
340[ 0, 0, 0, 0, 0, 3 ]7
340[ 0, 0, 0, 0, 1, 1 ]3
352[ 0, 0, 0, 0, 0, 3 ]not 2, 3, 7
352[ 0, 1, 0, 0, 0, 1 ]not 2, 3
352[ 1, 0, 0, 0, 0, 1 ]not 2, 3
364[ 0, 0, 1, 0, 0, 0 ]2
462[ 0, 2, 0, 0, 0, 0 ]not 2
462[ 2, 0, 0, 0, 0, 0 ]not 2
495[ 0, 0, 1, 0, 0, 0 ]not 2
548[ 0, 0, 0, 0, 1, 1 ]11
560[ 0, 0, 0, 0, 1, 1 ]not 3, 11
560[ 1, 1, 0, 0, 0, 0 ]2
792[ 1, 1, 0, 0, 0, 0 ]not 2
1143[ 0, 0, 0, 0, 2, 0 ]3
1286[ 0, 0, 0, 0, 0, 4 ]7
1287[ 0, 0, 0, 0, 0, 4 ]not 2, 3, 7
1376[ 0, 1, 0, 0, 1, 0 ]5
1376[ 1, 0, 0, 0, 1, 0 ]5
1508[ 0, 0, 0, 1, 0, 1 ]2
1561[ 0, 0, 0, 0, 2, 0 ]5
1637[ 0, 0, 0, 0, 2, 0 ]11
1638[ 0, 0, 0, 0, 2, 0 ]not 2, 3, 5, 11
1696[ 0, 1, 0, 0, 1, 0 ]11
1696[ 1, 0, 0, 0, 1, 0 ]11
1728[ 0, 1, 0, 0, 1, 0 ]not 5, 11
1728[ 1, 0, 0, 0, 1, 0 ]not 5, 11
1760[ 0, 1, 0, 0, 0, 2 ]7
1760[ 1, 0, 0, 0, 0, 2 ]7
2013[ 0, 0, 0, 1, 0, 1 ]5
2079[ 0, 0, 0, 1, 0, 1 ]not 2, 5
2112[ 0, 1, 0, 0, 0, 2 ]not 2, 7
2112[ 1, 0, 0, 0, 0, 2 ]not 2, 7
2740[ 0, 0, 0, 1, 1, 0 ]3
2784[ 0, 0, 0, 0, 1, 2 ]3
2794[ 0, 0, 0, 0, 1, 2 ]7
2848[ 0, 3, 0, 0, 0, 0 ]5
2848[ 3, 0, 0, 0, 0, 0 ]5
2860[ 0, 0, 0, 0, 1, 2 ]not 2, 3, 7
3200[ 0, 1, 0, 1, 0, 0 ]2
3200[ 1, 0, 0, 1, 0, 0 ]2
3808[ 0, 0, 1, 0, 0, 1 ]2
3960[ 0, 2, 0, 0, 0, 1 ]7
3960[ 2, 0, 0, 0, 0, 1 ]7
3992[ 0, 0, 0, 0, 1, 3 ]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: all
Dimension: 12

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

Highest weight: [ 0, 1, 0, 0, 0, 0 ]
Characteristic: all
Dimension: 32

Level   dominant weight   weight multiplicity   length of W-orbit 
16[ 0, 1, 0, 0, 0, 0 ]132

Highest weight: [ 1, 0, 0, 0, 0, 0 ]
Characteristic: all
Dimension: 32

Level   dominant weight   weight multiplicity   length of W-orbit 
16[ 1, 0, 0, 0, 0, 0 ]132

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

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 0, 0, 0, 0, 1, 0 ]160
1[ 0, 0, 0, 0, 0, 0 ]41

Highest weight: [ 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 66

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 0, 0, 0, 0, 1, 0 ]160
1[ 0, 0, 0, 0, 0, 0 ]61

Highest weight: [ 0, 0, 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 76

Level   dominant weight   weight multiplicity   length of W-orbit 
21[ 0, 0, 0, 0, 0, 2 ]112
19[ 0, 0, 0, 0, 1, 0 ]160
1[ 0, 0, 0, 0, 0, 0 ]41

Highest weight: [ 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,3
Dimension: 77

Level   dominant weight   weight multiplicity   length of W-orbit 
21[ 0, 0, 0, 0, 0, 2 ]112
19[ 0, 0, 0, 0, 1, 0 ]160
1[ 0, 0, 0, 0, 0, 0 ]51

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

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 0, 0, 1, 0, 0 ]1160
11[ 0, 0, 0, 0, 0, 1 ]412

Highest weight: [ 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 220

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 0, 0, 1, 0, 0 ]1160
11[ 0, 0, 0, 0, 0, 1 ]512

Highest weight: [ 0, 1, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 320

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 0, 1, 0, 0, 0, 1 ]1192
16[ 1, 0, 0, 0, 0, 0 ]432

Highest weight: [ 0, 1, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 320

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 0, 1, 0, 0, 0, 1 ]1192
16[ 1, 0, 0, 0, 0, 0 ]432

Highest weight: [ 1, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 320

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 1, 0, 0, 0, 0, 1 ]1192
16[ 0, 1, 0, 0, 0, 0 ]432

Highest weight: [ 1, 0, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 320

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 1, 0, 0, 0, 0, 1 ]1192
16[ 0, 1, 0, 0, 0, 0 ]432

Highest weight: [ 0, 0, 0, 0, 0, 3 ]
Characteristic: 7
Dimension: 340

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 0, 0, 0, 3 ]112
29[ 0, 0, 0, 0, 1, 1 ]1120
25[ 0, 0, 0, 1, 0, 0 ]1160
11[ 0, 0, 0, 0, 0, 1 ]412

Highest weight: [ 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 340

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 0, 0, 0, 1, 1 ]1120
25[ 0, 0, 0, 1, 0, 0 ]1160
11[ 0, 0, 0, 0, 0, 1 ]512

Highest weight: [ 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,7
Dimension: 352

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 0, 0, 0, 3 ]112
29[ 0, 0, 0, 0, 1, 1 ]1120
25[ 0, 0, 0, 1, 0, 0 ]1160
11[ 0, 0, 0, 0, 0, 1 ]512

Highest weight: [ 0, 1, 0, 0, 0, 1 ]
Characteristic: not 2,3
Dimension: 352

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 0, 1, 0, 0, 0, 1 ]1192
16[ 1, 0, 0, 0, 0, 0 ]532

Highest weight: [ 1, 0, 0, 0, 0, 1 ]
Characteristic: not 2,3
Dimension: 352

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 1, 0, 0, 0, 0, 1 ]1192
16[ 0, 1, 0, 0, 0, 0 ]532

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

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 0, 1, 0, 0, 0 ]1240
19[ 0, 0, 0, 0, 1, 0 ]260
1[ 0, 0, 0, 0, 0, 0 ]41

Highest weight: [ 0, 2, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 462

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 2, 0, 0, 0, 0 ]132
29[ 0, 0, 1, 0, 0, 0 ]1240
19[ 0, 0, 0, 0, 1, 0 ]360
1[ 0, 0, 0, 0, 0, 0 ]101

Highest weight: [ 2, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 462

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 2, 0, 0, 0, 0, 0 ]132
29[ 0, 0, 1, 0, 0, 0 ]1240
19[ 0, 0, 0, 0, 1, 0 ]360
1[ 0, 0, 0, 0, 0, 0 ]101

Highest weight: [ 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 495

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 0, 1, 0, 0, 0 ]1240
19[ 0, 0, 0, 0, 1, 0 ]460
1[ 0, 0, 0, 0, 0, 0 ]151

Highest weight: [ 0, 0, 0, 0, 1, 1 ]
Characteristic: 11
Dimension: 548

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 0, 0, 0, 1, 1 ]1120
25[ 0, 0, 0, 1, 0, 0 ]2160
11[ 0, 0, 0, 0, 0, 1 ]912

Highest weight: [ 0, 0, 0, 0, 1, 1 ]
Characteristic: not 3,11
Dimension: 560

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 0, 0, 0, 1, 1 ]1120
25[ 0, 0, 0, 1, 0, 0 ]2160
11[ 0, 0, 0, 0, 0, 1 ]1012

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

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 1, 1, 0, 0, 0, 0 ]1192
25[ 0, 0, 0, 1, 0, 0 ]2160
11[ 0, 0, 0, 0, 0, 1 ]412

Highest weight: [ 1, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 792

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 1, 1, 0, 0, 0, 0 ]1192
25[ 0, 0, 0, 1, 0, 0 ]3160
11[ 0, 0, 0, 0, 0, 1 ]1012

Highest weight: [ 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 1143

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 2, 0 ]160
35[ 0, 0, 0, 1, 0, 1 ]1480
29[ 0, 0, 1, 0, 0, 0 ]1240
21[ 0, 0, 0, 0, 0, 2 ]412
19[ 0, 0, 0, 0, 1, 0 ]560
1[ 0, 0, 0, 0, 0, 0 ]151

Highest weight: [ 0, 0, 0, 0, 0, 4 ]
Characteristic: 7
Dimension: 1286

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 0, 0, 4 ]112
39[ 0, 0, 0, 0, 1, 2 ]1120
37[ 0, 0, 0, 0, 2, 0 ]160
35[ 0, 0, 0, 1, 0, 1 ]1480
29[ 0, 0, 1, 0, 0, 0 ]1240
21[ 0, 0, 0, 0, 0, 2 ]512
19[ 0, 0, 0, 0, 1, 0 ]560
1[ 0, 0, 0, 0, 0, 0 ]141

Highest weight: [ 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,7
Dimension: 1287

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 0, 0, 4 ]112
39[ 0, 0, 0, 0, 1, 2 ]1120
37[ 0, 0, 0, 0, 2, 0 ]160
35[ 0, 0, 0, 1, 0, 1 ]1480
29[ 0, 0, 1, 0, 0, 0 ]1240
21[ 0, 0, 0, 0, 0, 2 ]512
19[ 0, 0, 0, 0, 1, 0 ]560
1[ 0, 0, 0, 0, 0, 0 ]151

Highest weight: [ 0, 1, 0, 0, 1, 0 ]
Characteristic: 5
Dimension: 1376

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 0, 1, 0, 0, 1, 0 ]1480
26[ 1, 0, 0, 0, 0, 1 ]3192
16[ 0, 1, 0, 0, 0, 0 ]1032

Highest weight: [ 1, 0, 0, 0, 1, 0 ]
Characteristic: 5
Dimension: 1376

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 1, 0, 0, 0, 1, 0 ]1480
26[ 0, 1, 0, 0, 0, 1 ]3192
16[ 1, 0, 0, 0, 0, 0 ]1032

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

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 1, 0, 1 ]1480
29[ 0, 0, 1, 0, 0, 0 ]2240
21[ 0, 0, 0, 0, 0, 2 ]412
19[ 0, 0, 0, 0, 1, 0 ]860
1[ 0, 0, 0, 0, 0, 0 ]201

Highest weight: [ 0, 0, 0, 0, 2, 0 ]
Characteristic: 5
Dimension: 1561

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 2, 0 ]160
35[ 0, 0, 0, 1, 0, 1 ]1480
29[ 0, 0, 1, 0, 0, 0 ]2240
21[ 0, 0, 0, 0, 0, 2 ]312
19[ 0, 0, 0, 0, 1, 0 ]860
1[ 0, 0, 0, 0, 0, 0 ]251

Highest weight: [ 0, 0, 0, 0, 2, 0 ]
Characteristic: 11
Dimension: 1637

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 2, 0 ]160
35[ 0, 0, 0, 1, 0, 1 ]1480
29[ 0, 0, 1, 0, 0, 0 ]2240
21[ 0, 0, 0, 0, 0, 2 ]412
19[ 0, 0, 0, 0, 1, 0 ]960
1[ 0, 0, 0, 0, 0, 0 ]291

Highest weight: [ 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,5,11
Dimension: 1638

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 2, 0 ]160
35[ 0, 0, 0, 1, 0, 1 ]1480
29[ 0, 0, 1, 0, 0, 0 ]2240
21[ 0, 0, 0, 0, 0, 2 ]412
19[ 0, 0, 0, 0, 1, 0 ]960
1[ 0, 0, 0, 0, 0, 0 ]301

Highest weight: [ 0, 1, 0, 0, 1, 0 ]
Characteristic: 11
Dimension: 1696

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 0, 1, 0, 0, 1, 0 ]1480
26[ 1, 0, 0, 0, 0, 1 ]4192
16[ 0, 1, 0, 0, 0, 0 ]1432

Highest weight: [ 1, 0, 0, 0, 1, 0 ]
Characteristic: 11
Dimension: 1696

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 1, 0, 0, 0, 1, 0 ]1480
26[ 0, 1, 0, 0, 0, 1 ]4192
16[ 1, 0, 0, 0, 0, 0 ]1432

Highest weight: [ 0, 1, 0, 0, 1, 0 ]
Characteristic: not 5,11
Dimension: 1728

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 0, 1, 0, 0, 1, 0 ]1480
26[ 1, 0, 0, 0, 0, 1 ]4192
16[ 0, 1, 0, 0, 0, 0 ]1532

Highest weight: [ 1, 0, 0, 0, 1, 0 ]
Characteristic: not 5,11
Dimension: 1728

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 1, 0, 0, 0, 1, 0 ]1480
26[ 0, 1, 0, 0, 0, 1 ]4192
16[ 1, 0, 0, 0, 0, 0 ]1532

Highest weight: [ 0, 1, 0, 0, 0, 2 ]
Characteristic: 7
Dimension: 1760

Level   dominant weight   weight multiplicity   length of W-orbit 
36[ 0, 1, 0, 0, 0, 2 ]1192
34[ 0, 1, 0, 0, 1, 0 ]1480
26[ 1, 0, 0, 0, 0, 1 ]4192
16[ 0, 1, 0, 0, 0, 0 ]1032

Highest weight: [ 1, 0, 0, 0, 0, 2 ]
Characteristic: 7
Dimension: 1760

Level   dominant weight   weight multiplicity   length of W-orbit 
36[ 1, 0, 0, 0, 0, 2 ]1192
34[ 1, 0, 0, 0, 1, 0 ]1480
26[ 0, 1, 0, 0, 0, 1 ]4192
16[ 1, 0, 0, 0, 0, 0 ]1032

Highest weight: [ 0, 0, 0, 1, 0, 1 ]
Characteristic: 5
Dimension: 2013

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 1, 0, 1 ]1480
29[ 0, 0, 1, 0, 0, 0 ]3240
21[ 0, 0, 0, 0, 0, 2 ]512
19[ 0, 0, 0, 0, 1, 0 ]1260
1[ 0, 0, 0, 0, 0, 0 ]331

Highest weight: [ 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,5
Dimension: 2079

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 1, 0, 1 ]1480
29[ 0, 0, 1, 0, 0, 0 ]3240
21[ 0, 0, 0, 0, 0, 2 ]512
19[ 0, 0, 0, 0, 1, 0 ]1360
1[ 0, 0, 0, 0, 0, 0 ]391

Highest weight: [ 0, 1, 0, 0, 0, 2 ]
Characteristic: not 2,7
Dimension: 2112

Level   dominant weight   weight multiplicity   length of W-orbit 
36[ 0, 1, 0, 0, 0, 2 ]1192
34[ 0, 1, 0, 0, 1, 0 ]1480
26[ 1, 0, 0, 0, 0, 1 ]5192
16[ 0, 1, 0, 0, 0, 0 ]1532

Highest weight: [ 1, 0, 0, 0, 0, 2 ]
Characteristic: not 2,7
Dimension: 2112

Level   dominant weight   weight multiplicity   length of W-orbit 
36[ 1, 0, 0, 0, 0, 2 ]1192
34[ 1, 0, 0, 0, 1, 0 ]1480
26[ 0, 1, 0, 0, 0, 1 ]5192
16[ 1, 0, 0, 0, 0, 0 ]1532

Highest weight: [ 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 2740

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 1, 1, 0 ]1480
39[ 0, 0, 1, 0, 0, 1 ]1960
31[ 1, 1, 0, 0, 0, 0 ]1192
29[ 0, 0, 0, 0, 1, 1 ]3120
25[ 0, 0, 0, 1, 0, 0 ]4160
11[ 0, 0, 0, 0, 0, 1 ]912

Highest weight: [ 0, 0, 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 2784

Level   dominant weight   weight multiplicity   length of W-orbit 
39[ 0, 0, 0, 0, 1, 2 ]1120
37[ 0, 0, 0, 0, 2, 0 ]160
35[ 0, 0, 0, 1, 0, 1 ]2480
29[ 0, 0, 1, 0, 0, 0 ]3240
21[ 0, 0, 0, 0, 0, 2 ]912
19[ 0, 0, 0, 0, 1, 0 ]1360
1[ 0, 0, 0, 0, 0, 0 ]361

Highest weight: [ 0, 0, 0, 0, 1, 2 ]
Characteristic: 7
Dimension: 2794

Level   dominant weight   weight multiplicity   length of W-orbit 
39[ 0, 0, 0, 0, 1, 2 ]1120
37[ 0, 0, 0, 0, 2, 0 ]160
35[ 0, 0, 0, 1, 0, 1 ]2480
29[ 0, 0, 1, 0, 0, 0 ]3240
21[ 0, 0, 0, 0, 0, 2 ]1012
19[ 0, 0, 0, 0, 1, 0 ]1360
1[ 0, 0, 0, 0, 0, 0 ]341

Highest weight: [ 0, 3, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 2848

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 3, 0, 0, 0, 0 ]132
44[ 0, 1, 1, 0, 0, 0 ]1480
40[ 1, 0, 0, 1, 0, 0 ]1640
34[ 0, 1, 0, 0, 1, 0 ]2480
26[ 1, 0, 0, 0, 0, 1 ]3192
16[ 0, 1, 0, 0, 0, 0 ]532

Highest weight: [ 3, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 2848

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 3, 0, 0, 0, 0, 0 ]132
44[ 1, 0, 1, 0, 0, 0 ]1480
40[ 0, 1, 0, 1, 0, 0 ]1640
34[ 1, 0, 0, 0, 1, 0 ]2480
26[ 0, 1, 0, 0, 0, 1 ]3192
16[ 1, 0, 0, 0, 0, 0 ]532

Highest weight: [ 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,3,7
Dimension: 2860

Level   dominant weight   weight multiplicity   length of W-orbit 
39[ 0, 0, 0, 0, 1, 2 ]1120
37[ 0, 0, 0, 0, 2, 0 ]160
35[ 0, 0, 0, 1, 0, 1 ]2480
29[ 0, 0, 1, 0, 0, 0 ]3240
21[ 0, 0, 0, 0, 0, 2 ]1012
19[ 0, 0, 0, 0, 1, 0 ]1460
1[ 0, 0, 0, 0, 0, 0 ]401

Highest weight: [ 0, 1, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 3200

Level   dominant weight   weight multiplicity   length of W-orbit 
40[ 0, 1, 0, 1, 0, 0 ]1640
34[ 1, 0, 0, 0, 1, 0 ]2480
26[ 0, 1, 0, 0, 0, 1 ]6192
16[ 1, 0, 0, 0, 0, 0 ]1432

Highest weight: [ 1, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 3200

Level   dominant weight   weight multiplicity   length of W-orbit 
40[ 1, 0, 0, 1, 0, 0 ]1640
34[ 0, 1, 0, 0, 1, 0 ]2480
26[ 1, 0, 0, 0, 0, 1 ]6192
16[ 0, 1, 0, 0, 0, 0 ]1432

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

Level   dominant weight   weight multiplicity   length of W-orbit 
39[ 0, 0, 1, 0, 0, 1 ]1960
31[ 1, 1, 0, 0, 0, 0 ]4192
29[ 0, 0, 0, 0, 1, 1 ]2120
25[ 0, 0, 0, 1, 0, 0 ]10160
11[ 0, 0, 0, 0, 0, 1 ]2012

Highest weight: [ 0, 2, 0, 0, 0, 1 ]
Characteristic: 7
Dimension: 3960

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 2, 0, 0, 0, 1 ]1192
39[ 0, 0, 1, 0, 0, 1 ]1960
31[ 1, 1, 0, 0, 0, 0 ]4192
29[ 0, 0, 0, 0, 1, 1 ]3120
25[ 0, 0, 0, 1, 0, 0 ]9160
11[ 0, 0, 0, 0, 0, 1 ]2012

Highest weight: [ 2, 0, 0, 0, 0, 1 ]
Characteristic: 7
Dimension: 3960

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 2, 0, 0, 0, 0, 1 ]1192
39[ 0, 0, 1, 0, 0, 1 ]1960
31[ 1, 1, 0, 0, 0, 0 ]4192
29[ 0, 0, 0, 0, 1, 1 ]3120
25[ 0, 0, 0, 1, 0, 0 ]9160
11[ 0, 0, 0, 0, 0, 1 ]2012

Highest weight: [ 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 3992

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 1, 3 ]1120
47[ 0, 0, 0, 0, 2, 1 ]1120
45[ 0, 0, 0, 1, 0, 2 ]1480
43[ 0, 0, 0, 1, 1, 0 ]1480
39[ 0, 0, 1, 0, 0, 1 ]1960
31[ 1, 1, 0, 0, 0, 0 ]1192
31[ 0, 0, 0, 0, 0, 3 ]512
29[ 0, 0, 0, 0, 1, 1 ]5120
25[ 0, 0, 0, 1, 0, 0 ]5160
11[ 0, 0, 0, 0, 0, 1 ]1512