[Overview]

Weight Multiplicities

Groups of type C5, degree bound 7000

Diagram:

1 > 2 - .. - 5

Overview

DimensionHighest weightCharacteristic
1[ 0, 0, 0, 0, 0 ]all
10[ 0, 0, 0, 0, 1 ]all
32[ 1, 0, 0, 0, 0 ]2
43[ 0, 0, 0, 1, 0 ]5
44[ 0, 0, 0, 1, 0 ]not 5
55[ 0, 0, 0, 0, 2 ]not 2
100[ 0, 0, 1, 0, 0 ]2
110[ 0, 0, 1, 0, 0 ]not 2
121[ 0, 1, 0, 0, 0 ]3
122[ 1, 0, 0, 0, 0 ]3
132[ 1, 0, 0, 0, 0 ]not 2, 3
164[ 0, 1, 0, 0, 0 ]2
165[ 0, 1, 0, 0, 0 ]not 2, 3
210[ 0, 0, 0, 1, 1 ]3
220[ 0, 0, 0, 0, 3 ]not 2, 3
310[ 0, 0, 0, 1, 1 ]11
320[ 0, 0, 0, 1, 1 ]not 3, 11
320[ 1, 0, 0, 0, 1 ]2
615[ 0, 0, 0, 2, 0 ]3
670[ 0, 0, 1, 0, 1 ]2
715[ 0, 0, 0, 0, 4 ]not 2, 3
779[ 0, 0, 0, 2, 0 ]11
780[ 0, 0, 0, 2, 0 ]not 2, 3, 11
848[ 0, 0, 1, 0, 1 ]5
891[ 0, 0, 1, 0, 1 ]not 2, 5
1088[ 0, 1, 0, 0, 1 ]3
1099[ 1, 0, 0, 0, 1 ]3
1155[ 1, 0, 0, 0, 1 ]not 2, 3
1276[ 0, 1, 0, 0, 1 ]5
1375[ 0, 0, 0, 1, 2 ]3
1408[ 0, 1, 0, 0, 1 ]not 3, 5
1408[ 1, 0, 0, 1, 0 ]2
1430[ 0, 0, 0, 1, 2 ]not 2, 3
1452[ 0, 0, 1, 1, 0 ]3
1562[ 1, 1, 0, 0, 0 ]5
1563[ 2, 0, 0, 0, 0 ]5
1992[ 0, 0, 0, 1, 3 ]5
2002[ 0, 0, 0, 0, 5 ]not 2, 3, 5
2708[ 0, 0, 1, 1, 0 ]2
2850[ 0, 0, 2, 0, 0 ]3
2860[ 0, 0, 1, 1, 0 ]not 2, 3
2882[ 1, 0, 0, 1, 0 ]7
2936[ 0, 0, 1, 0, 2 ]5
3124[ 0, 1, 0, 1, 0 ]2
3156[ 0, 0, 2, 0, 0 ]5
3200[ 1, 0, 1, 0, 0 ]2
3902[ 0, 0, 1, 0, 2 ]11
4004[ 0, 0, 2, 0, 0 ]not 2, 3, 5
4212[ 0, 0, 1, 0, 2 ]not 2, 5, 11
4225[ 0, 1, 0, 1, 0 ]3
4280[ 1, 0, 0, 1, 0 ]3
4290[ 1, 0, 0, 1, 0 ]not 2, 3, 7
4300[ 0, 0, 0, 2, 1 ]13
4335[ 0, 1, 0, 0, 2 ]3
4355[ 1, 0, 1, 0, 0 ]3
4412[ 1, 0, 0, 0, 2 ]3
4488[ 0, 0, 0, 2, 1 ]3
4598[ 2, 0, 0, 0, 0 ]3
4620[ 0, 0, 0, 2, 1 ]not 2, 3, 13
4664[ 2, 0, 0, 0, 0 ]7
4708[ 0, 0, 0, 1, 3 ]13
4719[ 2, 0, 0, 0, 0 ]not 2, 3, 5, 7
4740[ 0, 1, 1, 0, 0 ]3
4905[ 0, 0, 0, 2, 2 ]5
4928[ 0, 0, 0, 1, 3 ]not 2, 3, 5, 13
5005[ 0, 0, 0, 0, 6 ]not 2, 3, 5
5005[ 0, 1, 0, 1, 0 ]not 2, 3
5248[ 1, 1, 0, 0, 0 ]2
5588[ 1, 0, 0, 0, 2 ]7
5720[ 1, 0, 0, 0, 2 ]not 2, 3, 7
6016[ 0, 1, 0, 0, 2 ]5
6292[ 0, 1, 1, 0, 0 ]7
6765[ 0, 2, 0, 0, 0 ]3
6864[ 0, 1, 0, 0, 2 ]not 2, 3, 5

The characters


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

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

Highest weight: [ 0, 0, 0, 0, 1 ]
Characteristic: all
Dimension: 10

Level   dominant weight   weight multiplicity   length of W-orbit 
10[ 0, 0, 0, 0, 1 ]110

Highest weight: [ 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 32

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 1, 0, 0, 0, 0 ]132

Highest weight: [ 0, 0, 0, 1, 0 ]
Characteristic: 5
Dimension: 43

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 0, 0, 0, 1, 0 ]140
1[ 0, 0, 0, 0, 0 ]31

Highest weight: [ 0, 0, 0, 1, 0 ]
Characteristic: not 5
Dimension: 44

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 0, 0, 0, 1, 0 ]140
1[ 0, 0, 0, 0, 0 ]41

Highest weight: [ 0, 0, 0, 0, 2 ]
Characteristic: not 2
Dimension: 55

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 0, 0, 0, 0, 2 ]110
17[ 0, 0, 0, 1, 0 ]140
1[ 0, 0, 0, 0, 0 ]51

Highest weight: [ 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 100

Level   dominant weight   weight multiplicity   length of W-orbit 
22[ 0, 0, 1, 0, 0 ]180
10[ 0, 0, 0, 0, 1 ]210

Highest weight: [ 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 110

Level   dominant weight   weight multiplicity   length of W-orbit 
22[ 0, 0, 1, 0, 0 ]180
10[ 0, 0, 0, 0, 1 ]310

Highest weight: [ 0, 1, 0, 0, 0 ]
Characteristic: 3
Dimension: 121

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 1, 0, 0, 0 ]180
17[ 0, 0, 0, 1, 0 ]140
1[ 0, 0, 0, 0, 0 ]11

Highest weight: [ 1, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 122

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 1, 0, 0, 0, 0 ]132
22[ 0, 0, 1, 0, 0 ]180
10[ 0, 0, 0, 0, 1 ]110

Highest weight: [ 1, 0, 0, 0, 0 ]
Characteristic: not 2,3
Dimension: 132

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 1, 0, 0, 0, 0 ]132
22[ 0, 0, 1, 0, 0 ]180
10[ 0, 0, 0, 0, 1 ]210

Highest weight: [ 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 164

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 1, 0, 0, 0 ]180
17[ 0, 0, 0, 1, 0 ]240
1[ 0, 0, 0, 0, 0 ]41

Highest weight: [ 0, 1, 0, 0, 0 ]
Characteristic: not 2,3
Dimension: 165

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 1, 0, 0, 0 ]180
17[ 0, 0, 0, 1, 0 ]240
1[ 0, 0, 0, 0, 0 ]51

Highest weight: [ 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 210

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 0, 0, 0, 1, 1 ]180
22[ 0, 0, 1, 0, 0 ]180
10[ 0, 0, 0, 0, 1 ]510

Highest weight: [ 0, 0, 0, 0, 3 ]
Characteristic: not 2,3
Dimension: 220

Level   dominant weight   weight multiplicity   length of W-orbit 
28[ 0, 0, 0, 0, 3 ]110
26[ 0, 0, 0, 1, 1 ]180
22[ 0, 0, 1, 0, 0 ]180
10[ 0, 0, 0, 0, 1 ]510

Highest weight: [ 0, 0, 0, 1, 1 ]
Characteristic: 11
Dimension: 310

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 0, 0, 0, 1, 1 ]180
22[ 0, 0, 1, 0, 0 ]280
10[ 0, 0, 0, 0, 1 ]710

Highest weight: [ 0, 0, 0, 1, 1 ]
Characteristic: not 3,11
Dimension: 320

Level   dominant weight   weight multiplicity   length of W-orbit 
26[ 0, 0, 0, 1, 1 ]180
22[ 0, 0, 1, 0, 0 ]280
10[ 0, 0, 0, 0, 1 ]810

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

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 1, 0, 0, 0, 1 ]1160
25[ 0, 1, 0, 0, 0 ]280

Highest weight: [ 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 615

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 0, 0, 2, 0 ]140
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]180
19[ 0, 0, 0, 0, 2 ]410
17[ 0, 0, 0, 1, 0 ]540
1[ 0, 0, 0, 0, 0 ]151

Highest weight: [ 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 670

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]280
19[ 0, 0, 0, 0, 2 ]210
17[ 0, 0, 0, 1, 0 ]640
1[ 0, 0, 0, 0, 0 ]101

Highest weight: [ 0, 0, 0, 0, 4 ]
Characteristic: not 2,3
Dimension: 715

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 4 ]110
35[ 0, 0, 0, 1, 2 ]180
33[ 0, 0, 0, 2, 0 ]140
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]180
19[ 0, 0, 0, 0, 2 ]510
17[ 0, 0, 0, 1, 0 ]540
1[ 0, 0, 0, 0, 0 ]151

Highest weight: [ 0, 0, 0, 2, 0 ]
Characteristic: 11
Dimension: 779

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 0, 0, 2, 0 ]140
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]280
19[ 0, 0, 0, 0, 2 ]410
17[ 0, 0, 0, 1, 0 ]740
1[ 0, 0, 0, 0, 0 ]191

Highest weight: [ 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,11
Dimension: 780

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 0, 0, 2, 0 ]140
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]280
19[ 0, 0, 0, 0, 2 ]410
17[ 0, 0, 0, 1, 0 ]740
1[ 0, 0, 0, 0, 0 ]201

Highest weight: [ 0, 0, 1, 0, 1 ]
Characteristic: 5
Dimension: 848

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]380
19[ 0, 0, 0, 0, 2 ]310
17[ 0, 0, 0, 1, 0 ]840
1[ 0, 0, 0, 0, 0 ]181

Highest weight: [ 0, 0, 1, 0, 1 ]
Characteristic: not 2,5
Dimension: 891

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]380
19[ 0, 0, 0, 0, 2 ]310
17[ 0, 0, 0, 1, 0 ]940
1[ 0, 0, 0, 0, 0 ]211

Highest weight: [ 0, 1, 0, 0, 1 ]
Characteristic: 3
Dimension: 1088

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 0, 1, 0, 0, 1 ]1320
26[ 1, 0, 0, 0, 0 ]432
26[ 0, 0, 0, 1, 1 ]180
22[ 0, 0, 1, 0, 0 ]680
10[ 0, 0, 0, 0, 1 ]810

Highest weight: [ 1, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 1099

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 1, 0, 0, 0, 1 ]1160
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]580
19[ 0, 0, 0, 0, 2 ]110
17[ 0, 0, 0, 1, 0 ]740
1[ 0, 0, 0, 0, 0 ]91

Highest weight: [ 1, 0, 0, 0, 1 ]
Characteristic: not 2,3
Dimension: 1155

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 1, 0, 0, 0, 1 ]1160
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]580
19[ 0, 0, 0, 0, 2 ]210
17[ 0, 0, 0, 1, 0 ]840
1[ 0, 0, 0, 0, 0 ]151

Highest weight: [ 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 1276

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 0, 1, 0, 0, 1 ]1320
26[ 1, 0, 0, 0, 0 ]332
26[ 0, 0, 0, 1, 1 ]280
22[ 0, 0, 1, 0, 0 ]780
10[ 0, 0, 0, 0, 1 ]1410

Highest weight: [ 0, 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 1375

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 1, 2 ]180
33[ 0, 0, 0, 2, 0 ]140
31[ 0, 0, 1, 0, 1 ]2240
25[ 0, 1, 0, 0, 0 ]380
19[ 0, 0, 0, 0, 2 ]710
17[ 0, 0, 0, 1, 0 ]1140
1[ 0, 0, 0, 0, 0 ]251

Highest weight: [ 0, 1, 0, 0, 1 ]
Characteristic: not 3,5
Dimension: 1408

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 0, 1, 0, 0, 1 ]1320
26[ 1, 0, 0, 0, 0 ]432
26[ 0, 0, 0, 1, 1 ]280
22[ 0, 0, 1, 0, 0 ]880
10[ 0, 0, 0, 0, 1 ]1610

Highest weight: [ 1, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 1408

Level   dominant weight   weight multiplicity   length of W-orbit 
42[ 1, 0, 0, 1, 0 ]1320
34[ 0, 1, 0, 0, 1 ]2320
26[ 1, 0, 0, 0, 0 ]432
22[ 0, 0, 1, 0, 0 ]480

Highest weight: [ 0, 0, 0, 1, 2 ]
Characteristic: not 2,3
Dimension: 1430

Level   dominant weight   weight multiplicity   length of W-orbit 
35[ 0, 0, 0, 1, 2 ]180
33[ 0, 0, 0, 2, 0 ]140
31[ 0, 0, 1, 0, 1 ]2240
25[ 0, 1, 0, 0, 0 ]380
19[ 0, 0, 0, 0, 2 ]810
17[ 0, 0, 0, 1, 0 ]1240
1[ 0, 0, 0, 0, 0 ]301

Highest weight: [ 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 1452

Level   dominant weight   weight multiplicity   length of W-orbit 
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]1320
26[ 1, 0, 0, 0, 0 ]132
26[ 0, 0, 0, 1, 1 ]480
22[ 0, 0, 1, 0, 0 ]580
10[ 0, 0, 0, 0, 1 ]1410

Highest weight: [ 1, 1, 0, 0, 0 ]
Characteristic: 5
Dimension: 1562

Level   dominant weight   weight multiplicity   length of W-orbit 
50[ 1, 1, 0, 0, 0 ]1160
46[ 0, 1, 1, 0, 0 ]1320
42[ 1, 0, 0, 1, 0 ]1320
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]1320
26[ 1, 0, 0, 0, 0 ]132
26[ 0, 0, 0, 1, 1 ]180
22[ 0, 0, 1, 0, 0 ]180
10[ 0, 0, 0, 0, 1 ]110

Highest weight: [ 2, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 1563

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 2, 0, 0, 0, 0 ]132
49[ 0, 2, 0, 0, 0 ]180
47[ 1, 0, 1, 0, 0 ]1320
43[ 0, 0, 2, 0, 0 ]180
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]1160
33[ 0, 0, 0, 2, 0 ]140
31[ 0, 0, 1, 0, 1 ]1240
25[ 0, 1, 0, 0, 0 ]180
19[ 0, 0, 0, 0, 2 ]110
17[ 0, 0, 0, 1, 0 ]140
1[ 0, 0, 0, 0, 0 ]11

Highest weight: [ 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 1992

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 0, 0, 0, 1, 3 ]180
42[ 0, 0, 0, 2, 1 ]180
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]1320
28[ 0, 0, 0, 0, 3 ]510
26[ 1, 0, 0, 0, 0 ]132
26[ 0, 0, 0, 1, 1 ]580
22[ 0, 0, 1, 0, 0 ]580
10[ 0, 0, 0, 0, 1 ]1510

Highest weight: [ 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5
Dimension: 2002

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 0, 0, 0, 5 ]110
44[ 0, 0, 0, 1, 3 ]180
42[ 0, 0, 0, 2, 1 ]180
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]1320
28[ 0, 0, 0, 0, 3 ]510
26[ 1, 0, 0, 0, 0 ]132
26[ 0, 0, 0, 1, 1 ]580
22[ 0, 0, 1, 0, 0 ]580
10[ 0, 0, 0, 0, 1 ]1510

Highest weight: [ 0, 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 2708

Level   dominant weight   weight multiplicity   length of W-orbit 
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]2320
26[ 1, 0, 0, 0, 0 ]432
26[ 0, 0, 0, 1, 1 ]680
22[ 0, 0, 1, 0, 0 ]1280
10[ 0, 0, 0, 0, 1 ]2610

Highest weight: [ 0, 0, 2, 0, 0 ]
Characteristic: 3
Dimension: 2850

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 2, 0, 0 ]180
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]1160
33[ 0, 0, 0, 2, 0 ]340
31[ 0, 0, 1, 0, 1 ]4240
25[ 0, 1, 0, 0, 0 ]580
19[ 0, 0, 0, 0, 2 ]1010
17[ 0, 0, 0, 1, 0 ]1340
1[ 0, 0, 0, 0, 0 ]301

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

Level   dominant weight   weight multiplicity   length of W-orbit 
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]2320
26[ 1, 0, 0, 0, 0 ]532
26[ 0, 0, 0, 1, 1 ]680
22[ 0, 0, 1, 0, 0 ]1380
10[ 0, 0, 0, 0, 1 ]3010

Highest weight: [ 1, 0, 0, 1, 0 ]
Characteristic: 7
Dimension: 2882

Level   dominant weight   weight multiplicity   length of W-orbit 
42[ 1, 0, 0, 1, 0 ]1320
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]3320
26[ 1, 0, 0, 0, 0 ]632
26[ 0, 0, 0, 1, 1 ]480
22[ 0, 0, 1, 0, 0 ]980
10[ 0, 0, 0, 0, 1 ]1310

Highest weight: [ 0, 0, 1, 0, 2 ]
Characteristic: 5
Dimension: 2936

Level   dominant weight   weight multiplicity   length of W-orbit 
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]2320
28[ 0, 0, 0, 0, 3 ]310
26[ 1, 0, 0, 0, 0 ]332
26[ 0, 0, 0, 1, 1 ]780
22[ 0, 0, 1, 0, 0 ]1180
10[ 0, 0, 0, 0, 1 ]2510

Highest weight: [ 0, 1, 0, 1, 0 ]
Characteristic: 2
Dimension: 3124

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]2160
33[ 0, 0, 0, 2, 0 ]240
31[ 0, 0, 1, 0, 1 ]4240
25[ 0, 1, 0, 0, 0 ]880
19[ 0, 0, 0, 0, 2 ]610
17[ 0, 0, 0, 1, 0 ]1440
1[ 0, 0, 0, 0, 0 ]241

Highest weight: [ 0, 0, 2, 0, 0 ]
Characteristic: 5
Dimension: 3156

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 2, 0, 0 ]180
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]2160
33[ 0, 0, 0, 2, 0 ]340
31[ 0, 0, 1, 0, 1 ]4240
25[ 0, 1, 0, 0, 0 ]780
19[ 0, 0, 0, 0, 2 ]910
17[ 0, 0, 0, 1, 0 ]1340
1[ 0, 0, 0, 0, 0 ]261

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

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 1, 0, 1, 0, 0 ]1320
41[ 0, 1, 0, 1, 0 ]2480
35[ 1, 0, 0, 0, 1 ]2160
31[ 0, 0, 1, 0, 1 ]4240
25[ 0, 1, 0, 0, 0 ]480
17[ 0, 0, 0, 1, 0 ]840

Highest weight: [ 0, 0, 1, 0, 2 ]
Characteristic: 11
Dimension: 3902

Level   dominant weight   weight multiplicity   length of W-orbit 
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]3320
28[ 0, 0, 0, 0, 3 ]310
26[ 1, 0, 0, 0, 0 ]632
26[ 0, 0, 0, 1, 1 ]880
22[ 0, 0, 1, 0, 0 ]1680
10[ 0, 0, 0, 0, 1 ]3210

Highest weight: [ 0, 0, 2, 0, 0 ]
Characteristic: not 2,3,5
Dimension: 4004

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 2, 0, 0 ]180
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]2160
33[ 0, 0, 0, 2, 0 ]340
31[ 0, 0, 1, 0, 1 ]5240
25[ 0, 1, 0, 0, 0 ]1080
19[ 0, 0, 0, 0, 2 ]1210
17[ 0, 0, 0, 1, 0 ]2140
1[ 0, 0, 0, 0, 0 ]441

Highest weight: [ 0, 0, 1, 0, 2 ]
Characteristic: not 2,5,11
Dimension: 4212

Level   dominant weight   weight multiplicity   length of W-orbit 
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]3320
28[ 0, 0, 0, 0, 3 ]310
26[ 1, 0, 0, 0, 0 ]632
26[ 0, 0, 0, 1, 1 ]980
22[ 0, 0, 1, 0, 0 ]1880
10[ 0, 0, 0, 0, 1 ]3910

Highest weight: [ 0, 1, 0, 1, 0 ]
Characteristic: 3
Dimension: 4225

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]3160
33[ 0, 0, 0, 2, 0 ]140
31[ 0, 0, 1, 0, 1 ]5240
25[ 0, 1, 0, 0, 0 ]1380
19[ 0, 0, 0, 0, 2 ]710
17[ 0, 0, 0, 1, 0 ]2240
1[ 0, 0, 0, 0, 0 ]351

Highest weight: [ 1, 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 4280

Level   dominant weight   weight multiplicity   length of W-orbit 
42[ 1, 0, 0, 1, 0 ]1320
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]4320
26[ 1, 0, 0, 0, 0 ]1032
26[ 0, 0, 0, 1, 1 ]680
22[ 0, 0, 1, 0, 0 ]1780
10[ 0, 0, 0, 0, 1 ]2810

Highest weight: [ 1, 0, 0, 1, 0 ]
Characteristic: not 2,3,7
Dimension: 4290

Level   dominant weight   weight multiplicity   length of W-orbit 
42[ 1, 0, 0, 1, 0 ]1320
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]4320
26[ 0, 0, 0, 1, 1 ]680
26[ 1, 0, 0, 0, 0 ]1032
22[ 0, 0, 1, 0, 0 ]1780
10[ 0, 0, 0, 0, 1 ]2910

Highest weight: [ 0, 0, 0, 2, 1 ]
Characteristic: 13
Dimension: 4300

Level   dominant weight   weight multiplicity   length of W-orbit 
42[ 0, 0, 0, 2, 1 ]180
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]2240
34[ 0, 1, 0, 0, 1 ]3320
28[ 0, 0, 0, 0, 3 ]410
26[ 1, 0, 0, 0, 0 ]532
26[ 0, 0, 0, 1, 1 ]1080
22[ 0, 0, 1, 0, 0 ]1580
10[ 0, 0, 0, 0, 1 ]3410

Highest weight: [ 0, 1, 0, 0, 2 ]
Characteristic: 3
Dimension: 4335

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 1, 0, 0, 2 ]1320
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]3160
35[ 0, 0, 0, 1, 2 ]180
33[ 0, 0, 0, 2, 0 ]140
31[ 0, 0, 1, 0, 1 ]5240
25[ 0, 1, 0, 0, 0 ]1280
19[ 0, 0, 0, 0, 2 ]710
17[ 0, 0, 0, 1, 0 ]1740
1[ 0, 0, 0, 0, 0 ]251

Highest weight: [ 1, 0, 1, 0, 0 ]
Characteristic: 3
Dimension: 4355

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 1, 0, 1, 0, 0 ]1320
43[ 0, 0, 2, 0, 0 ]180
41[ 0, 1, 0, 1, 0 ]2480
35[ 1, 0, 0, 0, 1 ]3160
33[ 0, 0, 0, 2, 0 ]340
31[ 0, 0, 1, 0, 1 ]5240
25[ 0, 1, 0, 0, 0 ]780
19[ 0, 0, 0, 0, 2 ]910
17[ 0, 0, 0, 1, 0 ]1340
1[ 0, 0, 0, 0, 0 ]251

Highest weight: [ 1, 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 4412

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 1, 0, 0, 0, 2 ]1160
42[ 1, 0, 0, 1, 0 ]1320
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]4320
28[ 0, 0, 0, 0, 3 ]110
26[ 1, 0, 0, 0, 0 ]1132
26[ 0, 0, 0, 1, 1 ]680
22[ 0, 0, 1, 0, 0 ]1480
10[ 0, 0, 0, 0, 1 ]2110

Highest weight: [ 0, 0, 0, 2, 1 ]
Characteristic: 3
Dimension: 4488

Level   dominant weight   weight multiplicity   length of W-orbit 
42[ 0, 0, 0, 2, 1 ]180
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]2240
34[ 0, 1, 0, 0, 1 ]3320
28[ 0, 0, 0, 0, 3 ]410
26[ 1, 0, 0, 0, 0 ]432
26[ 0, 0, 0, 1, 1 ]1180
22[ 0, 0, 1, 0, 0 ]1680
10[ 0, 0, 0, 0, 1 ]4010

Highest weight: [ 2, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 4598

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 2, 0, 0, 0, 0 ]132
49[ 0, 2, 0, 0, 0 ]180
47[ 1, 0, 1, 0, 0 ]1320
43[ 0, 0, 2, 0, 0 ]280
41[ 0, 1, 0, 1, 0 ]2480
35[ 1, 0, 0, 0, 1 ]3160
33[ 0, 0, 0, 2, 0 ]440
31[ 0, 0, 1, 0, 1 ]5240
25[ 0, 1, 0, 0, 0 ]780
19[ 0, 0, 0, 0, 2 ]1010
17[ 0, 0, 0, 1, 0 ]1340
1[ 0, 0, 0, 0, 0 ]261

Highest weight: [ 0, 0, 0, 2, 1 ]
Characteristic: not 2,3,13
Dimension: 4620

Level   dominant weight   weight multiplicity   length of W-orbit 
42[ 0, 0, 0, 2, 1 ]180
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]2240
34[ 0, 1, 0, 0, 1 ]3320
28[ 0, 0, 0, 0, 3 ]410
26[ 1, 0, 0, 0, 0 ]532
26[ 0, 0, 0, 1, 1 ]1180
22[ 0, 0, 1, 0, 0 ]1780
10[ 0, 0, 0, 0, 1 ]4210

Highest weight: [ 2, 0, 0, 0, 0 ]
Characteristic: 7
Dimension: 4664

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 2, 0, 0, 0, 0 ]132
49[ 0, 2, 0, 0, 0 ]180
47[ 1, 0, 1, 0, 0 ]1320
43[ 0, 0, 2, 0, 0 ]280
41[ 0, 1, 0, 1, 0 ]2480
35[ 1, 0, 0, 0, 1 ]3160
33[ 0, 0, 0, 2, 0 ]440
31[ 0, 0, 1, 0, 1 ]5240
25[ 0, 1, 0, 0, 0 ]880
19[ 0, 0, 0, 0, 2 ]910
17[ 0, 0, 0, 1, 0 ]1340
1[ 0, 0, 0, 0, 0 ]221

Highest weight: [ 0, 0, 0, 1, 3 ]
Characteristic: 13
Dimension: 4708

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 0, 0, 0, 1, 3 ]180
42[ 0, 0, 0, 2, 1 ]180
40[ 0, 0, 1, 0, 2 ]2240
38[ 0, 0, 1, 1, 0 ]2240
34[ 0, 1, 0, 0, 1 ]3320
28[ 0, 0, 0, 0, 3 ]710
26[ 1, 0, 0, 0, 0 ]432
26[ 0, 0, 0, 1, 1 ]1180
22[ 0, 0, 1, 0, 0 ]1580
10[ 0, 0, 0, 0, 1 ]3510

Highest weight: [ 2, 0, 0, 0, 0 ]
Characteristic: not 2,3,5,7
Dimension: 4719

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 2, 0, 0, 0, 0 ]132
49[ 0, 2, 0, 0, 0 ]180
47[ 1, 0, 1, 0, 0 ]1320
43[ 0, 0, 2, 0, 0 ]280
41[ 0, 1, 0, 1, 0 ]2480
35[ 1, 0, 0, 0, 1 ]3160
33[ 0, 0, 0, 2, 0 ]440
31[ 0, 0, 1, 0, 1 ]5240
25[ 0, 1, 0, 0, 0 ]880
19[ 0, 0, 0, 0, 2 ]1010
17[ 0, 0, 0, 1, 0 ]1440
1[ 0, 0, 0, 0, 0 ]271

Highest weight: [ 0, 1, 1, 0, 0 ]
Characteristic: 3
Dimension: 4740

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 1, 1, 0, 0 ]1320
42[ 1, 0, 0, 1, 0 ]1320
38[ 0, 0, 1, 1, 0 ]3240
34[ 0, 1, 0, 0, 1 ]4320
26[ 1, 0, 0, 0, 0 ]532
26[ 0, 0, 0, 1, 1 ]980
22[ 0, 0, 1, 0, 0 ]1280
10[ 0, 0, 0, 0, 1 ]2610

Highest weight: [ 0, 0, 0, 2, 2 ]
Characteristic: 5
Dimension: 4905

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 0, 0, 0, 2, 2 ]180
49[ 0, 0, 1, 0, 3 ]1240
49[ 0, 0, 0, 3, 0 ]140
47[ 0, 0, 1, 1, 1 ]1480
43[ 0, 1, 0, 0, 2 ]1320
43[ 0, 0, 2, 0, 0 ]180
41[ 0, 1, 0, 1, 0 ]1480
37[ 0, 0, 0, 0, 4 ]410
35[ 1, 0, 0, 0, 1 ]1160
35[ 0, 0, 0, 1, 2 ]580
33[ 0, 0, 0, 2, 0 ]540
31[ 0, 0, 1, 0, 1 ]5240
25[ 0, 1, 0, 0, 0 ]580
19[ 0, 0, 0, 0, 2 ]1510
17[ 0, 0, 0, 1, 0 ]1540
1[ 0, 0, 0, 0, 0 ]351

Highest weight: [ 0, 0, 0, 1, 3 ]
Characteristic: not 2,3,5,13
Dimension: 4928

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 0, 0, 0, 1, 3 ]180
42[ 0, 0, 0, 2, 1 ]180
40[ 0, 0, 1, 0, 2 ]2240
38[ 0, 0, 1, 1, 0 ]2240
34[ 0, 1, 0, 0, 1 ]3320
28[ 0, 0, 0, 0, 3 ]810
26[ 1, 0, 0, 0, 0 ]432
26[ 0, 0, 0, 1, 1 ]1280
22[ 0, 0, 1, 0, 0 ]1680
10[ 0, 0, 0, 0, 1 ]4010

Highest weight: [ 0, 0, 0, 0, 6 ]
Characteristic: not 2,3,5
Dimension: 5005

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 0, 0, 6 ]110
53[ 0, 0, 0, 1, 4 ]180
51[ 0, 0, 0, 2, 2 ]180
49[ 0, 0, 0, 3, 0 ]140
49[ 0, 0, 1, 0, 3 ]1240
47[ 0, 0, 1, 1, 1 ]1480
43[ 0, 0, 2, 0, 0 ]180
43[ 0, 1, 0, 0, 2 ]1320
41[ 0, 1, 0, 1, 0 ]1480
37[ 0, 0, 0, 0, 4 ]510
35[ 1, 0, 0, 0, 1 ]1160
35[ 0, 0, 0, 1, 2 ]580
33[ 0, 0, 0, 2, 0 ]540
31[ 0, 0, 1, 0, 1 ]5240
25[ 0, 1, 0, 0, 0 ]580
19[ 0, 0, 0, 0, 2 ]1510
17[ 0, 0, 0, 1, 0 ]1540
1[ 0, 0, 0, 0, 0 ]351

Highest weight: [ 0, 1, 0, 1, 0 ]
Characteristic: not 2,3
Dimension: 5005

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]3160
33[ 0, 0, 0, 2, 0 ]240
31[ 0, 0, 1, 0, 1 ]6240
25[ 0, 1, 0, 0, 0 ]1580
19[ 0, 0, 0, 0, 2 ]1110
17[ 0, 0, 0, 1, 0 ]2940
1[ 0, 0, 0, 0, 0 ]551

Highest weight: [ 1, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 5248

Level   dominant weight   weight multiplicity   length of W-orbit 
50[ 1, 1, 0, 0, 0 ]1160
46[ 0, 1, 1, 0, 0 ]2320
42[ 1, 0, 0, 1, 0 ]2320
38[ 0, 0, 1, 1, 0 ]4240
34[ 0, 1, 0, 0, 1 ]4320
26[ 1, 0, 0, 0, 0 ]432
26[ 0, 0, 0, 1, 1 ]880
22[ 0, 0, 1, 0, 0 ]880
10[ 0, 0, 0, 0, 1 ]1610

Highest weight: [ 1, 0, 0, 0, 2 ]
Characteristic: 7
Dimension: 5588

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 1, 0, 0, 0, 2 ]1160
42[ 1, 0, 0, 1, 0 ]1320
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]5320
28[ 0, 0, 0, 0, 3 ]210
26[ 1, 0, 0, 0, 0 ]1432
26[ 0, 0, 0, 1, 1 ]880
22[ 0, 0, 1, 0, 0 ]2080
10[ 0, 0, 0, 0, 1 ]3210

Highest weight: [ 1, 0, 0, 0, 2 ]
Characteristic: not 2,3,7
Dimension: 5720

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 1, 0, 0, 0, 2 ]1160
42[ 1, 0, 0, 1, 0 ]1320
40[ 0, 0, 1, 0, 2 ]1240
38[ 0, 0, 1, 1, 0 ]1240
34[ 0, 1, 0, 0, 1 ]5320
28[ 0, 0, 0, 0, 3 ]210
26[ 0, 0, 0, 1, 1 ]880
26[ 1, 0, 0, 0, 0 ]1532
22[ 0, 0, 1, 0, 0 ]2180
10[ 0, 0, 0, 0, 1 ]3410

Highest weight: [ 0, 1, 0, 0, 2 ]
Characteristic: 5
Dimension: 6016

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 1, 0, 0, 2 ]1320
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]4160
35[ 0, 0, 0, 1, 2 ]280
33[ 0, 0, 0, 2, 0 ]240
31[ 0, 0, 1, 0, 1 ]7240
25[ 0, 1, 0, 0, 0 ]1780
19[ 0, 0, 0, 0, 2 ]1310
17[ 0, 0, 0, 1, 0 ]2840
1[ 0, 0, 0, 0, 0 ]461

Highest weight: [ 0, 1, 1, 0, 0 ]
Characteristic: 7
Dimension: 6292

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 1, 1, 0, 0 ]1320
42[ 1, 0, 0, 1, 0 ]2320
38[ 0, 0, 1, 1, 0 ]3240
34[ 0, 1, 0, 0, 1 ]6320
26[ 1, 0, 0, 0, 0 ]1132
26[ 0, 0, 0, 1, 1 ]980
22[ 0, 0, 1, 0, 0 ]1780
10[ 0, 0, 0, 0, 1 ]2610

Highest weight: [ 0, 2, 0, 0, 0 ]
Characteristic: 3
Dimension: 6765

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 2, 0, 0, 0 ]180
47[ 1, 0, 1, 0, 0 ]1320
43[ 0, 0, 2, 0, 0 ]280
41[ 0, 1, 0, 1, 0 ]3480
35[ 1, 0, 0, 0, 1 ]4160
33[ 0, 0, 0, 2, 0 ]640
31[ 0, 0, 1, 0, 1 ]8240
25[ 0, 1, 0, 0, 0 ]1180
19[ 0, 0, 0, 0, 2 ]1610
17[ 0, 0, 0, 1, 0 ]2240
1[ 0, 0, 0, 0, 0 ]451

Highest weight: [ 0, 1, 0, 0, 2 ]
Characteristic: not 2,3,5
Dimension: 6864

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 1, 0, 0, 2 ]1320
41[ 0, 1, 0, 1, 0 ]1480
35[ 1, 0, 0, 0, 1 ]4160
35[ 0, 0, 0, 1, 2 ]280
33[ 0, 0, 0, 2, 0 ]240
31[ 0, 0, 1, 0, 1 ]8240
25[ 0, 1, 0, 0, 0 ]2080
19[ 0, 0, 0, 0, 2 ]1610
17[ 0, 0, 0, 1, 0 ]3640
1[ 0, 0, 0, 0, 0 ]641