[Overview]

Weight Multiplicities

Groups of type C7, degree bound 25000

Diagram:

1 > 2 - .. - 7

Overview

DimensionHighest weightCharacteristic
1[ 0, 0, 0, 0, 0, 0, 0 ]all
14[ 0, 0, 0, 0, 0, 0, 1 ]all
89[ 0, 0, 0, 0, 0, 1, 0 ]7
90[ 0, 0, 0, 0, 0, 1, 0 ]not 7
105[ 0, 0, 0, 0, 0, 0, 2 ]not 2
128[ 1, 0, 0, 0, 0, 0, 0 ]2
336[ 0, 0, 0, 0, 1, 0, 0 ]2
336[ 0, 0, 0, 0, 1, 0, 0 ]3
350[ 0, 0, 0, 0, 1, 0, 0 ]not 2, 3
546[ 0, 0, 0, 0, 0, 1, 1 ]3
560[ 0, 0, 0, 0, 0, 0, 3 ]not 2, 3
820[ 0, 0, 0, 1, 0, 0, 0 ]5
882[ 0, 0, 0, 0, 0, 1, 1 ]5
896[ 0, 0, 0, 0, 0, 1, 1 ]not 3, 5
909[ 0, 0, 0, 1, 0, 0, 0 ]3
910[ 0, 0, 0, 1, 0, 0, 0 ]not 3, 5
1093[ 0, 1, 0, 0, 0, 0, 0 ]3
1094[ 1, 0, 0, 0, 0, 0, 0 ]3
1288[ 0, 0, 1, 0, 0, 0, 0 ]2
1430[ 1, 0, 0, 0, 0, 0, 0 ]not 2, 3
1624[ 0, 0, 1, 0, 0, 0, 0 ]5
1638[ 0, 0, 1, 0, 0, 0, 0 ]not 2, 5
1792[ 1, 0, 0, 0, 0, 0, 1 ]2
1912[ 0, 1, 0, 0, 0, 0, 0 ]2
2001[ 0, 1, 0, 0, 0, 0, 0 ]5
2002[ 0, 1, 0, 0, 0, 0, 0 ]not 2, 3, 5
2184[ 0, 0, 0, 0, 0, 2, 0 ]3
2380[ 0, 0, 0, 0, 0, 0, 4 ]not 2, 3
2884[ 0, 0, 0, 0, 1, 0, 1 ]2
3093[ 0, 0, 0, 0, 0, 2, 0 ]5
3094[ 0, 0, 0, 0, 0, 2, 0 ]not 2, 3, 5
3795[ 0, 0, 0, 0, 1, 0, 1 ]3
3811[ 0, 0, 0, 0, 1, 0, 1 ]7
3900[ 0, 0, 0, 0, 1, 0, 1 ]not 2, 3, 7
5355[ 0, 0, 0, 0, 0, 1, 2 ]not 2
7098[ 0, 0, 0, 0, 1, 1, 0 ]3
8232[ 0, 0, 0, 1, 0, 0, 1 ]5
8554[ 0, 0, 0, 0, 0, 1, 3 ]5
8568[ 0, 0, 0, 0, 0, 0, 5 ]not 2, 3, 5
10402[ 0, 0, 0, 1, 0, 0, 1 ]13
10752[ 0, 0, 0, 1, 0, 0, 1 ]not 5, 13
11520[ 1, 0, 0, 0, 0, 1, 0 ]2
14208[ 0, 0, 1, 0, 0, 0, 1 ]2
14208[ 0, 1, 0, 0, 0, 0, 1 ]3
14223[ 1, 0, 0, 0, 0, 0, 1 ]3
15638[ 0, 0, 0, 0, 1, 0, 2 ]5
16017[ 1, 0, 0, 0, 0, 0, 1 ]5
16184[ 0, 0, 0, 0, 1, 1, 0 ]2
16954[ 0, 0, 0, 0, 1, 1, 0 ]13
17850[ 0, 0, 0, 0, 1, 1, 0 ]not 2, 3, 13
18017[ 0, 0, 1, 0, 0, 0, 1 ]3
18018[ 1, 0, 0, 0, 0, 0, 1 ]not 2, 3, 5
19383[ 0, 0, 0, 0, 2, 0, 0 ]3
19915[ 0, 0, 1, 0, 0, 0, 1 ]5
20020[ 0, 0, 1, 0, 0, 0, 1 ]not 2, 3, 5
22932[ 0, 0, 0, 0, 0, 2, 1 ]3
23322[ 0, 1, 0, 0, 0, 0, 1 ]11
23530[ 0, 1, 0, 0, 0, 0, 1 ]7
23632[ 0, 0, 0, 0, 0, 1, 3 ]17
23674[ 0, 0, 0, 0, 0, 2, 1 ]17
23856[ 0, 0, 0, 0, 1, 0, 2 ]3
24064[ 0, 1, 0, 0, 0, 0, 1 ]2
24192[ 0, 0, 0, 0, 0, 1, 3 ]not 2, 3, 5, 17
24570[ 0, 0, 0, 0, 0, 2, 1 ]not 2, 3, 17
24752[ 0, 0, 0, 0, 1, 0, 2 ]not 2, 3, 5
24960[ 0, 1, 0, 0, 0, 0, 1 ]not 2, 3, 7, 11

The characters


Highest weight: [ 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 ]11

Highest weight: [ 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: all
Dimension: 14

Level   dominant weight   weight multiplicity   length of W-orbit 
14[ 0, 0, 0, 0, 0, 0, 1 ]114

Highest weight: [ 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 7
Dimension: 89

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 0, 0, 0, 0, 1, 0 ]184
1[ 0, 0, 0, 0, 0, 0, 0 ]51

Highest weight: [ 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 7
Dimension: 90

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 0, 0, 0, 0, 1, 0 ]184
1[ 0, 0, 0, 0, 0, 0, 0 ]61

Highest weight: [ 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2
Dimension: 105

Level   dominant weight   weight multiplicity   length of W-orbit 
27[ 0, 0, 0, 0, 0, 0, 2 ]114
25[ 0, 0, 0, 0, 0, 1, 0 ]184
1[ 0, 0, 0, 0, 0, 0, 0 ]71

Highest weight: [ 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 128

Level   dominant weight   weight multiplicity   length of W-orbit 
50[ 1, 0, 0, 0, 0, 0, 0 ]1128

Highest weight: [ 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 336

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 0, 0, 0, 0, 1, 0, 0 ]1280
14[ 0, 0, 0, 0, 0, 0, 1 ]414

Highest weight: [ 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 3
Dimension: 336

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 0, 0, 0, 0, 1, 0, 0 ]1280
14[ 0, 0, 0, 0, 0, 0, 1 ]414

Highest weight: [ 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2,3
Dimension: 350

Level   dominant weight   weight multiplicity   length of W-orbit 
34[ 0, 0, 0, 0, 1, 0, 0 ]1280
14[ 0, 0, 0, 0, 0, 0, 1 ]514

Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 546

Level   dominant weight   weight multiplicity   length of W-orbit 
38[ 0, 0, 0, 0, 0, 1, 1 ]1168
34[ 0, 0, 0, 0, 1, 0, 0 ]1280
14[ 0, 0, 0, 0, 0, 0, 1 ]714

Highest weight: [ 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3
Dimension: 560

Level   dominant weight   weight multiplicity   length of W-orbit 
40[ 0, 0, 0, 0, 0, 0, 3 ]114
38[ 0, 0, 0, 0, 0, 1, 1 ]1168
34[ 0, 0, 0, 0, 1, 0, 0 ]1280
14[ 0, 0, 0, 0, 0, 0, 1 ]714

Highest weight: [ 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 5
Dimension: 820

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 1, 0, 0, 0 ]1560
25[ 0, 0, 0, 0, 0, 1, 0 ]384
1[ 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 5
Dimension: 882

Level   dominant weight   weight multiplicity   length of W-orbit 
38[ 0, 0, 0, 0, 0, 1, 1 ]1168
34[ 0, 0, 0, 0, 1, 0, 0 ]2280
14[ 0, 0, 0, 0, 0, 0, 1 ]1114

Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 3,5
Dimension: 896

Level   dominant weight   weight multiplicity   length of W-orbit 
38[ 0, 0, 0, 0, 0, 1, 1 ]1168
34[ 0, 0, 0, 0, 1, 0, 0 ]2280
14[ 0, 0, 0, 0, 0, 0, 1 ]1214

Highest weight: [ 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 3
Dimension: 909

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 1, 0, 0, 0 ]1560
25[ 0, 0, 0, 0, 0, 1, 0 ]484
1[ 0, 0, 0, 0, 0, 0, 0 ]131

Highest weight: [ 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 3,5
Dimension: 910

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 1, 0, 0, 0 ]1560
25[ 0, 0, 0, 0, 0, 1, 0 ]484
1[ 0, 0, 0, 0, 0, 0, 0 ]141

Highest weight: [ 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 1093

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 1, 0, 0, 0, 0, 0 ]1448
41[ 0, 0, 0, 1, 0, 0, 0 ]1560
25[ 0, 0, 0, 0, 0, 1, 0 ]184
1[ 0, 0, 0, 0, 0, 0, 0 ]11

Highest weight: [ 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 1094

Level   dominant weight   weight multiplicity   length of W-orbit 
50[ 1, 0, 0, 0, 0, 0, 0 ]1128
46[ 0, 0, 1, 0, 0, 0, 0 ]1672
34[ 0, 0, 0, 0, 1, 0, 0 ]1280
14[ 0, 0, 0, 0, 0, 0, 1 ]114

Highest weight: [ 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 1288

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 0, 1, 0, 0, 0, 0 ]1672
34[ 0, 0, 0, 0, 1, 0, 0 ]2280
14[ 0, 0, 0, 0, 0, 0, 1 ]414

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

Level   dominant weight   weight multiplicity   length of W-orbit 
50[ 1, 0, 0, 0, 0, 0, 0 ]1128
46[ 0, 0, 1, 0, 0, 0, 0 ]1672
34[ 0, 0, 0, 0, 1, 0, 0 ]2280
14[ 0, 0, 0, 0, 0, 0, 1 ]514

Highest weight: [ 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 1624

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 0, 1, 0, 0, 0, 0 ]1672
34[ 0, 0, 0, 0, 1, 0, 0 ]3280
14[ 0, 0, 0, 0, 0, 0, 1 ]814

Highest weight: [ 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2,5
Dimension: 1638

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 0, 1, 0, 0, 0, 0 ]1672
34[ 0, 0, 0, 0, 1, 0, 0 ]3280
14[ 0, 0, 0, 0, 0, 0, 1 ]914

Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 1792

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 1, 0, 0, 0, 0, 0, 1 ]1896
49[ 0, 1, 0, 0, 0, 0, 0 ]2448

Highest weight: [ 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 1912

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 1, 0, 0, 0, 0, 0 ]1448
41[ 0, 0, 0, 1, 0, 0, 0 ]2560
25[ 0, 0, 0, 0, 0, 1, 0 ]484
1[ 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 2001

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 1, 0, 0, 0, 0, 0 ]1448
41[ 0, 0, 0, 1, 0, 0, 0 ]2560
25[ 0, 0, 0, 0, 0, 1, 0 ]584
1[ 0, 0, 0, 0, 0, 0, 0 ]131

Highest weight: [ 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2,3,5
Dimension: 2002

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 1, 0, 0, 0, 0, 0 ]1448
41[ 0, 0, 0, 1, 0, 0, 0 ]2560
25[ 0, 0, 0, 0, 0, 1, 0 ]584
1[ 0, 0, 0, 0, 0, 0, 0 ]141

Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 2184

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 2, 0 ]184
47[ 0, 0, 0, 0, 1, 0, 1 ]1840
41[ 0, 0, 0, 1, 0, 0, 0 ]1560
27[ 0, 0, 0, 0, 0, 0, 2 ]614
25[ 0, 0, 0, 0, 0, 1, 0 ]784
1[ 0, 0, 0, 0, 0, 0, 0 ]281

Highest weight: [ 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3
Dimension: 2380

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 0, 4 ]114
51[ 0, 0, 0, 0, 0, 1, 2 ]1168
49[ 0, 0, 0, 0, 0, 2, 0 ]184
47[ 0, 0, 0, 0, 1, 0, 1 ]1840
41[ 0, 0, 0, 1, 0, 0, 0 ]1560
27[ 0, 0, 0, 0, 0, 0, 2 ]714
25[ 0, 0, 0, 0, 0, 1, 0 ]784
1[ 0, 0, 0, 0, 0, 0, 0 ]281

Highest weight: [ 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 2884

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 1, 0, 1 ]1840
41[ 0, 0, 0, 1, 0, 0, 0 ]2560
27[ 0, 0, 0, 0, 0, 0, 2 ]414
25[ 0, 0, 0, 0, 0, 1, 0 ]1084
1[ 0, 0, 0, 0, 0, 0, 0 ]281

Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 5
Dimension: 3093

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 2, 0 ]184
47[ 0, 0, 0, 0, 1, 0, 1 ]1840
41[ 0, 0, 0, 1, 0, 0, 0 ]2560
27[ 0, 0, 0, 0, 0, 0, 2 ]614
25[ 0, 0, 0, 0, 0, 1, 0 ]1184
1[ 0, 0, 0, 0, 0, 0, 0 ]411

Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,5
Dimension: 3094

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 2, 0 ]184
47[ 0, 0, 0, 0, 1, 0, 1 ]1840
41[ 0, 0, 0, 1, 0, 0, 0 ]2560
27[ 0, 0, 0, 0, 0, 0, 2 ]614
25[ 0, 0, 0, 0, 0, 1, 0 ]1184
1[ 0, 0, 0, 0, 0, 0, 0 ]421

Highest weight: [ 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 3
Dimension: 3795

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 1, 0, 1 ]1840
41[ 0, 0, 0, 1, 0, 0, 0 ]3560
27[ 0, 0, 0, 0, 0, 0, 2 ]414
25[ 0, 0, 0, 0, 0, 1, 0 ]1484
1[ 0, 0, 0, 0, 0, 0, 0 ]431

Highest weight: [ 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 7
Dimension: 3811

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 1, 0, 1 ]1840
41[ 0, 0, 0, 1, 0, 0, 0 ]3560
27[ 0, 0, 0, 0, 0, 0, 2 ]514
25[ 0, 0, 0, 0, 0, 1, 0 ]1484
1[ 0, 0, 0, 0, 0, 0, 0 ]451

Highest weight: [ 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,3,7
Dimension: 3900

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 1, 0, 1 ]1840
41[ 0, 0, 0, 1, 0, 0, 0 ]3560
27[ 0, 0, 0, 0, 0, 0, 2 ]514
25[ 0, 0, 0, 0, 0, 1, 0 ]1584
1[ 0, 0, 0, 0, 0, 0, 0 ]501

Highest weight: [ 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2
Dimension: 5355

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 0, 0, 0, 0, 0, 1, 2 ]1168
49[ 0, 0, 0, 0, 0, 2, 0 ]184
47[ 0, 0, 0, 0, 1, 0, 1 ]2840
41[ 0, 0, 0, 1, 0, 0, 0 ]3560
27[ 0, 0, 0, 0, 0, 0, 2 ]1214
25[ 0, 0, 0, 0, 0, 1, 0 ]1884
1[ 0, 0, 0, 0, 0, 0, 0 ]631

Highest weight: [ 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 7098

Level   dominant weight   weight multiplicity   length of W-orbit 
58[ 0, 0, 0, 0, 1, 1, 0 ]1840
54[ 0, 0, 0, 1, 0, 0, 1 ]12240
46[ 0, 0, 1, 0, 0, 0, 0 ]1672
38[ 0, 0, 0, 0, 0, 1, 1 ]6168
34[ 0, 0, 0, 0, 1, 0, 0 ]7280
14[ 0, 0, 0, 0, 0, 0, 1 ]2714

Highest weight: [ 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 8232

Level   dominant weight   weight multiplicity   length of W-orbit 
54[ 0, 0, 0, 1, 0, 0, 1 ]12240
46[ 0, 0, 1, 0, 0, 0, 0 ]3672
38[ 0, 0, 0, 0, 0, 1, 1 ]3168
34[ 0, 0, 0, 0, 1, 0, 0 ]11280
14[ 0, 0, 0, 0, 0, 0, 1 ]2814

Highest weight: [ 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 8554

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 0, 0, 0, 0, 1, 3 ]1168
62[ 0, 0, 0, 0, 0, 2, 1 ]1168
60[ 0, 0, 0, 0, 1, 0, 2 ]1840
58[ 0, 0, 0, 0, 1, 1, 0 ]1840
54[ 0, 0, 0, 1, 0, 0, 1 ]12240
46[ 0, 0, 1, 0, 0, 0, 0 ]1672
40[ 0, 0, 0, 0, 0, 0, 3 ]714
38[ 0, 0, 0, 0, 0, 1, 1 ]7168
34[ 0, 0, 0, 0, 1, 0, 0 ]7280
14[ 0, 0, 0, 0, 0, 0, 1 ]2814

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

Level   dominant weight   weight multiplicity   length of W-orbit 
66[ 0, 0, 0, 0, 0, 0, 5 ]114
64[ 0, 0, 0, 0, 0, 1, 3 ]1168
62[ 0, 0, 0, 0, 0, 2, 1 ]1168
60[ 0, 0, 0, 0, 1, 0, 2 ]1840
58[ 0, 0, 0, 0, 1, 1, 0 ]1840
54[ 0, 0, 0, 1, 0, 0, 1 ]12240
46[ 0, 0, 1, 0, 0, 0, 0 ]1672
40[ 0, 0, 0, 0, 0, 0, 3 ]714
38[ 0, 0, 0, 0, 0, 1, 1 ]7168
34[ 0, 0, 0, 0, 1, 0, 0 ]7280
14[ 0, 0, 0, 0, 0, 0, 1 ]2814

Highest weight: [ 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 13
Dimension: 10402

Level   dominant weight   weight multiplicity   length of W-orbit 
54[ 0, 0, 0, 1, 0, 0, 1 ]12240
46[ 0, 0, 1, 0, 0, 0, 0 ]4672
38[ 0, 0, 0, 0, 0, 1, 1 ]4168
34[ 0, 0, 0, 0, 1, 0, 0 ]15280
14[ 0, 0, 0, 0, 0, 0, 1 ]4314

Highest weight: [ 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: not 5,13
Dimension: 10752

Level   dominant weight   weight multiplicity   length of W-orbit 
54[ 0, 0, 0, 1, 0, 0, 1 ]12240
46[ 0, 0, 1, 0, 0, 0, 0 ]4672
38[ 0, 0, 0, 0, 0, 1, 1 ]4168
34[ 0, 0, 0, 0, 1, 0, 0 ]16280
14[ 0, 0, 0, 0, 0, 0, 1 ]4814

Highest weight: [ 1, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 11520

Level   dominant weight   weight multiplicity   length of W-orbit 
74[ 1, 0, 0, 0, 0, 1, 0 ]12688
62[ 0, 1, 0, 0, 0, 0, 1 ]22688
50[ 1, 0, 0, 0, 0, 0, 0 ]6128
46[ 0, 0, 1, 0, 0, 0, 0 ]4672

Highest weight: [ 0, 0, 1, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 14208

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 1, 0, 0, 0, 1 ]13360
49[ 0, 1, 0, 0, 0, 0, 0 ]4448
47[ 0, 0, 0, 0, 1, 0, 1 ]2840
41[ 0, 0, 0, 1, 0, 0, 0 ]10560
27[ 0, 0, 0, 0, 0, 0, 2 ]414
25[ 0, 0, 0, 0, 0, 1, 0 ]2084
1[ 0, 0, 0, 0, 0, 0, 0 ]401

Highest weight: [ 0, 1, 0, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 14208

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 1, 0, 0, 0, 0, 1 ]12688
54[ 0, 0, 0, 1, 0, 0, 1 ]12240
50[ 1, 0, 0, 0, 0, 0, 0 ]6128
46[ 0, 0, 1, 0, 0, 0, 0 ]8672
38[ 0, 0, 0, 0, 0, 1, 1 ]1168
34[ 0, 0, 0, 0, 1, 0, 0 ]10280
14[ 0, 0, 0, 0, 0, 0, 1 ]1214

Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 14223

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 1, 0, 0, 0, 0, 0, 1 ]1896
59[ 0, 0, 1, 0, 0, 0, 1 ]13360
49[ 0, 1, 0, 0, 0, 0, 0 ]7448
47[ 0, 0, 0, 0, 1, 0, 1 ]1840
41[ 0, 0, 0, 1, 0, 0, 0 ]9560
27[ 0, 0, 0, 0, 0, 0, 2 ]114
25[ 0, 0, 0, 0, 0, 1, 0 ]1184
1[ 0, 0, 0, 0, 0, 0, 0 ]131

Highest weight: [ 0, 0, 0, 0, 1, 0, 2 ]
Characteristic: 5
Dimension: 15638

Level   dominant weight   weight multiplicity   length of W-orbit 
60[ 0, 0, 0, 0, 1, 0, 2 ]1840
58[ 0, 0, 0, 0, 1, 1, 0 ]1840
54[ 0, 0, 0, 1, 0, 0, 1 ]22240
46[ 0, 0, 1, 0, 0, 0, 0 ]3672
40[ 0, 0, 0, 0, 0, 0, 3 ]514
38[ 0, 0, 0, 0, 0, 1, 1 ]11168
34[ 0, 0, 0, 0, 1, 0, 0 ]17280
14[ 0, 0, 0, 0, 0, 0, 1 ]5614

Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: 5
Dimension: 16017

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 1, 0, 0, 0, 0, 0, 1 ]1896
59[ 0, 0, 1, 0, 0, 0, 1 ]13360
49[ 0, 1, 0, 0, 0, 0, 0 ]6448
47[ 0, 0, 0, 0, 1, 0, 1 ]2840
41[ 0, 0, 0, 1, 0, 0, 0 ]10560
27[ 0, 0, 0, 0, 0, 0, 2 ]514
25[ 0, 0, 0, 0, 0, 1, 0 ]2084
1[ 0, 0, 0, 0, 0, 0, 0 ]431

Highest weight: [ 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 16184

Level   dominant weight   weight multiplicity   length of W-orbit 
58[ 0, 0, 0, 0, 1, 1, 0 ]1840
54[ 0, 0, 0, 1, 0, 0, 1 ]22240
46[ 0, 0, 1, 0, 0, 0, 0 ]4672
38[ 0, 0, 0, 0, 0, 1, 1 ]10168
34[ 0, 0, 0, 0, 1, 0, 0 ]20280
14[ 0, 0, 0, 0, 0, 0, 1 ]6414

Highest weight: [ 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 13
Dimension: 16954

Level   dominant weight   weight multiplicity   length of W-orbit 
58[ 0, 0, 0, 0, 1, 1, 0 ]1840
54[ 0, 0, 0, 1, 0, 0, 1 ]22240
46[ 0, 0, 1, 0, 0, 0, 0 ]5672
38[ 0, 0, 0, 0, 0, 1, 1 ]9168
34[ 0, 0, 0, 0, 1, 0, 0 ]21280
14[ 0, 0, 0, 0, 0, 0, 1 ]6314

Highest weight: [ 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: not 2,3,13
Dimension: 17850

Level   dominant weight   weight multiplicity   length of W-orbit 
58[ 0, 0, 0, 0, 1, 1, 0 ]1840
54[ 0, 0, 0, 1, 0, 0, 1 ]22240
46[ 0, 0, 1, 0, 0, 0, 0 ]5672
38[ 0, 0, 0, 0, 0, 1, 1 ]10168
34[ 0, 0, 0, 0, 1, 0, 0 ]23280
14[ 0, 0, 0, 0, 0, 0, 1 ]7514

Highest weight: [ 0, 0, 1, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 18017

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 1, 0, 0, 0, 1 ]13360
49[ 0, 1, 0, 0, 0, 0, 0 ]4448
47[ 0, 0, 0, 0, 1, 0, 1 ]3840
41[ 0, 0, 0, 1, 0, 0, 0 ]13560
27[ 0, 0, 0, 0, 0, 0, 2 ]914
25[ 0, 0, 0, 0, 0, 1, 0 ]3484
1[ 0, 0, 0, 0, 0, 0, 0 ]831

Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 18018

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 1, 0, 0, 0, 0, 0, 1 ]1896
59[ 0, 0, 1, 0, 0, 0, 1 ]13360
49[ 0, 1, 0, 0, 0, 0, 0 ]7448
47[ 0, 0, 0, 0, 1, 0, 1 ]2840
41[ 0, 0, 0, 1, 0, 0, 0 ]12560
27[ 0, 0, 0, 0, 0, 0, 2 ]514
25[ 0, 0, 0, 0, 0, 1, 0 ]2584
1[ 0, 0, 0, 0, 0, 0, 0 ]561

Highest weight: [ 0, 0, 0, 0, 2, 0, 0 ]
Characteristic: 3
Dimension: 19383

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 0, 0, 2, 0, 0 ]1280
65[ 0, 0, 0, 1, 0, 1, 0 ]13360
59[ 0, 0, 1, 0, 0, 0, 1 ]13360
49[ 0, 1, 0, 0, 0, 0, 0 ]1448
49[ 0, 0, 0, 0, 0, 2, 0 ]584
47[ 0, 0, 0, 0, 1, 0, 1 ]6840
41[ 0, 0, 0, 1, 0, 0, 0 ]7560
27[ 0, 0, 0, 0, 0, 0, 2 ]2114
25[ 0, 0, 0, 0, 0, 1, 0 ]2684
1[ 0, 0, 0, 0, 0, 0, 0 ]771

Highest weight: [ 0, 0, 1, 0, 0, 0, 1 ]
Characteristic: 5
Dimension: 19915

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 1, 0, 0, 0, 1 ]13360
49[ 0, 1, 0, 0, 0, 0, 0 ]5448
47[ 0, 0, 0, 0, 1, 0, 1 ]3840
41[ 0, 0, 0, 1, 0, 0, 0 ]15560
27[ 0, 0, 0, 0, 0, 0, 2 ]814
25[ 0, 0, 0, 0, 0, 1, 0 ]3884
1[ 0, 0, 0, 0, 0, 0, 0 ]911

Highest weight: [ 0, 0, 1, 0, 0, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 20020

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 1, 0, 0, 0, 1 ]13360
49[ 0, 1, 0, 0, 0, 0, 0 ]5448
47[ 0, 0, 0, 0, 1, 0, 1 ]3840
41[ 0, 0, 0, 1, 0, 0, 0 ]15560
27[ 0, 0, 0, 0, 0, 0, 2 ]914
25[ 0, 0, 0, 0, 0, 1, 0 ]3984
1[ 0, 0, 0, 0, 0, 0, 0 ]981

Highest weight: [ 0, 0, 0, 0, 0, 2, 1 ]
Characteristic: 3
Dimension: 22932

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 0, 0, 0, 0, 2, 1 ]1168
60[ 0, 0, 0, 0, 1, 0, 2 ]1840
58[ 0, 0, 0, 0, 1, 1, 0 ]2840
54[ 0, 0, 0, 1, 0, 0, 1 ]32240
46[ 0, 0, 1, 0, 0, 0, 0 ]4672
40[ 0, 0, 0, 0, 0, 0, 3 ]614
38[ 0, 0, 0, 0, 0, 1, 1 ]17168
34[ 0, 0, 0, 0, 1, 0, 0 ]24280
14[ 0, 0, 0, 0, 0, 0, 1 ]8414

Highest weight: [ 0, 1, 0, 0, 0, 0, 1 ]
Characteristic: 11
Dimension: 23322

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 1, 0, 0, 0, 0, 1 ]12688
54[ 0, 0, 0, 1, 0, 0, 1 ]22240
50[ 1, 0, 0, 0, 0, 0, 0 ]6128
46[ 0, 0, 1, 0, 0, 0, 0 ]11672
38[ 0, 0, 0, 0, 0, 1, 1 ]5168
34[ 0, 0, 0, 0, 1, 0, 0 ]23280
14[ 0, 0, 0, 0, 0, 0, 1 ]5114

Highest weight: [ 0, 1, 0, 0, 0, 0, 1 ]
Characteristic: 7
Dimension: 23530

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 1, 0, 0, 0, 0, 1 ]12688
54[ 0, 0, 0, 1, 0, 0, 1 ]22240
50[ 1, 0, 0, 0, 0, 0, 0 ]5128
46[ 0, 0, 1, 0, 0, 0, 0 ]11672
38[ 0, 0, 0, 0, 0, 1, 1 ]5168
34[ 0, 0, 0, 0, 1, 0, 0 ]24280
14[ 0, 0, 0, 0, 0, 0, 1 ]5514

Highest weight: [ 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 17
Dimension: 23632

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 0, 0, 0, 0, 1, 3 ]1168
62[ 0, 0, 0, 0, 0, 2, 1 ]1168
60[ 0, 0, 0, 0, 1, 0, 2 ]2840
58[ 0, 0, 0, 0, 1, 1, 0 ]2840
54[ 0, 0, 0, 1, 0, 0, 1 ]32240
46[ 0, 0, 1, 0, 0, 0, 0 ]4672
40[ 0, 0, 0, 0, 0, 0, 3 ]1114
38[ 0, 0, 0, 0, 0, 1, 1 ]17168
34[ 0, 0, 0, 0, 1, 0, 0 ]23280
14[ 0, 0, 0, 0, 0, 0, 1 ]7714

Highest weight: [ 0, 0, 0, 0, 0, 2, 1 ]
Characteristic: 17
Dimension: 23674

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 0, 0, 0, 0, 2, 1 ]1168
60[ 0, 0, 0, 0, 1, 0, 2 ]1840
58[ 0, 0, 0, 0, 1, 1, 0 ]2840
54[ 0, 0, 0, 1, 0, 0, 1 ]32240
46[ 0, 0, 1, 0, 0, 0, 0 ]5672
40[ 0, 0, 0, 0, 0, 0, 3 ]614
38[ 0, 0, 0, 0, 0, 1, 1 ]16168
34[ 0, 0, 0, 0, 1, 0, 0 ]25280
14[ 0, 0, 0, 0, 0, 0, 1 ]8114

Highest weight: [ 0, 0, 0, 0, 1, 0, 2 ]
Characteristic: 3
Dimension: 23856

Level   dominant weight   weight multiplicity   length of W-orbit 
60[ 0, 0, 0, 0, 1, 0, 2 ]1840
58[ 0, 0, 0, 0, 1, 1, 0 ]1840
54[ 0, 0, 0, 1, 0, 0, 1 ]32240
46[ 0, 0, 1, 0, 0, 0, 0 ]6672
40[ 0, 0, 0, 0, 0, 0, 3 ]414
38[ 0, 0, 0, 0, 0, 1, 1 ]14168
34[ 0, 0, 0, 0, 1, 0, 0 ]28280
14[ 0, 0, 0, 0, 0, 0, 1 ]8414

Highest weight: [ 0, 1, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 24064

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 1, 0, 0, 0, 0, 1 ]12688
54[ 0, 0, 0, 1, 0, 0, 1 ]22240
50[ 1, 0, 0, 0, 0, 0, 0 ]6128
46[ 0, 0, 1, 0, 0, 0, 0 ]12672
38[ 0, 0, 0, 0, 0, 1, 1 ]4168
34[ 0, 0, 0, 0, 1, 0, 0 ]24280
14[ 0, 0, 0, 0, 0, 0, 1 ]4814

Highest weight: [ 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: not 2,3,5,17
Dimension: 24192

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 0, 0, 0, 0, 1, 3 ]1168
62[ 0, 0, 0, 0, 0, 2, 1 ]1168
60[ 0, 0, 0, 0, 1, 0, 2 ]2840
58[ 0, 0, 0, 0, 1, 1, 0 ]2840
54[ 0, 0, 0, 1, 0, 0, 1 ]32240
46[ 0, 0, 1, 0, 0, 0, 0 ]4672
40[ 0, 0, 0, 0, 0, 0, 3 ]1214
38[ 0, 0, 0, 0, 0, 1, 1 ]18168
34[ 0, 0, 0, 0, 1, 0, 0 ]24280
14[ 0, 0, 0, 0, 0, 0, 1 ]8414

Highest weight: [ 0, 0, 0, 0, 0, 2, 1 ]
Characteristic: not 2,3,17
Dimension: 24570

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 0, 0, 0, 0, 2, 1 ]1168
60[ 0, 0, 0, 0, 1, 0, 2 ]1840
58[ 0, 0, 0, 0, 1, 1, 0 ]2840
54[ 0, 0, 0, 1, 0, 0, 1 ]32240
46[ 0, 0, 1, 0, 0, 0, 0 ]5672
40[ 0, 0, 0, 0, 0, 0, 3 ]614
38[ 0, 0, 0, 0, 0, 1, 1 ]17168
34[ 0, 0, 0, 0, 1, 0, 0 ]27280
14[ 0, 0, 0, 0, 0, 0, 1 ]9314

Highest weight: [ 0, 0, 0, 0, 1, 0, 2 ]
Characteristic: not 2,3,5
Dimension: 24752

Level   dominant weight   weight multiplicity   length of W-orbit 
60[ 0, 0, 0, 0, 1, 0, 2 ]1840
58[ 0, 0, 0, 0, 1, 1, 0 ]1840
54[ 0, 0, 0, 1, 0, 0, 1 ]32240
46[ 0, 0, 1, 0, 0, 0, 0 ]6672
40[ 0, 0, 0, 0, 0, 0, 3 ]514
38[ 0, 0, 0, 0, 0, 1, 1 ]15168
34[ 0, 0, 0, 0, 1, 0, 0 ]30280
14[ 0, 0, 0, 0, 0, 0, 1 ]9514

Highest weight: [ 0, 1, 0, 0, 0, 0, 1 ]
Characteristic: not 2,3,7,11
Dimension: 24960

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 1, 0, 0, 0, 0, 1 ]12688
54[ 0, 0, 0, 1, 0, 0, 1 ]22240
50[ 1, 0, 0, 0, 0, 0, 0 ]6128
46[ 0, 0, 1, 0, 0, 0, 0 ]12672
38[ 0, 0, 0, 0, 0, 1, 1 ]5168
34[ 0, 0, 0, 0, 1, 0, 0 ]26280
14[ 0, 0, 0, 0, 0, 0, 1 ]6014