[Overview]

Weight Multiplicities

Groups of type C8, degree bound 30000

Diagram:

1 > 2 - .. - 8

Overview

DimensionHighest weightCharacteristic
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]all
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]all
118[ 0, 0, 0, 0, 0, 0, 1, 0 ]2
119[ 0, 0, 0, 0, 0, 0, 1, 0 ]not 2
136[ 0, 0, 0, 0, 0, 0, 0, 2 ]not 2
256[ 1, 0, 0, 0, 0, 0, 0, 0 ]2
528[ 0, 0, 0, 0, 0, 1, 0, 0 ]7
544[ 0, 0, 0, 0, 0, 1, 0, 0 ]not 7
800[ 0, 0, 0, 0, 0, 0, 1, 1 ]3
816[ 0, 0, 0, 0, 0, 0, 0, 3 ]not 2, 3
1328[ 0, 0, 0, 0, 0, 0, 1, 1 ]17
1344[ 0, 0, 0, 0, 0, 0, 1, 1 ]not 3, 17
1581[ 0, 0, 0, 0, 1, 0, 0, 0 ]3
1582[ 0, 0, 0, 0, 1, 0, 0, 0 ]2
1699[ 0, 0, 0, 0, 1, 0, 0, 0 ]7
1700[ 0, 0, 0, 0, 1, 0, 0, 0 ]not 2, 3, 7
3264[ 0, 0, 0, 1, 0, 0, 0, 0 ]5
3280[ 0, 1, 0, 0, 0, 0, 0, 0 ]3
3281[ 1, 0, 0, 0, 0, 0, 0, 0 ]3
3620[ 0, 0, 0, 0, 0, 0, 2, 0 ]3
3792[ 0, 0, 0, 1, 0, 0, 0, 0 ]3
3808[ 0, 0, 0, 1, 0, 0, 0, 0 ]not 3, 5
3876[ 0, 0, 0, 0, 0, 0, 0, 4 ]not 2, 3
4096[ 1, 0, 0, 0, 0, 0, 0, 1 ]2
4488[ 0, 0, 1, 0, 0, 0, 0, 0 ]2
4861[ 1, 0, 0, 0, 0, 0, 0, 0 ]5
4862[ 1, 0, 0, 0, 0, 0, 0, 0 ]not 2, 3, 5
5066[ 0, 0, 0, 0, 0, 1, 0, 1 ]2
5319[ 0, 0, 0, 0, 0, 0, 2, 0 ]17
5320[ 0, 0, 0, 0, 0, 0, 2, 0 ]not 2, 3, 17
6069[ 0, 0, 1, 0, 0, 0, 0, 0 ]5
6188[ 0, 0, 1, 0, 0, 0, 0, 0 ]not 2, 5
6528[ 0, 1, 0, 0, 0, 0, 0, 0 ]2
6749[ 0, 0, 0, 0, 0, 1, 0, 1 ]7
6885[ 0, 0, 0, 0, 0, 1, 0, 1 ]not 2, 7
7056[ 0, 1, 0, 0, 0, 0, 0, 0 ]5
7072[ 0, 1, 0, 0, 0, 0, 0, 0 ]not 2, 3, 5
8908[ 0, 0, 0, 0, 0, 0, 1, 2 ]3
9044[ 0, 0, 0, 0, 0, 0, 1, 2 ]not 2, 3
13328[ 0, 0, 0, 0, 0, 1, 1, 0 ]3
15488[ 0, 0, 0, 0, 0, 0, 1, 3 ]5
15504[ 0, 0, 0, 0, 0, 0, 0, 5 ]not 2, 3, 5
19040[ 0, 0, 0, 0, 1, 0, 0, 1 ]5
21504[ 0, 0, 0, 0, 1, 0, 0, 1 ]2
21504[ 0, 0, 0, 0, 1, 0, 0, 1 ]3
22848[ 0, 0, 0, 0, 1, 0, 0, 1 ]not 2, 3, 5

The characters


Highest weight: [ 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 ]11

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: all
Dimension: 16

Level   dominant weight   weight multiplicity   length of W-orbit 
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]116

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 118

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]61

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 119

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]71

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2
Dimension: 136

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]116
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 256

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 1, 0, 0, 0, 0, 0, 0, 0 ]1256

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 7
Dimension: 528

Level   dominant weight   weight multiplicity   length of W-orbit 
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]516

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 7
Dimension: 544

Level   dominant weight   weight multiplicity   length of W-orbit 
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]616

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 800

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]816

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3
Dimension: 816

Level   dominant weight   weight multiplicity   length of W-orbit 
46[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]816

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 17
Dimension: 1328

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]2448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]1316

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 3,17
Dimension: 1344

Level   dominant weight   weight multiplicity   length of W-orbit 
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]2448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]1416

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 3
Dimension: 1581

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]4112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]131

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 1582

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]4112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]141

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 7
Dimension: 1699

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]5112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]191

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2,3,7
Dimension: 1700

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]5112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]201

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 3264

Level   dominant weight   weight multiplicity   length of W-orbit 
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]3448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]816

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 3280

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 1, 0, 0, 0, 0, 0, 0 ]11024
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]116

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 3281

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 1, 0, 0, 0, 0, 0, 0, 0 ]1256
61[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]11

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 3620

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
55[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]8112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]361

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 3792

Level   dominant weight   weight multiplicity   length of W-orbit 
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]4448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]1316

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 3,5
Dimension: 3808

Level   dominant weight   weight multiplicity   length of W-orbit 
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]4448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]1416

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3
Dimension: 3876

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
59[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
57[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
55[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]816
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]8112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]361

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 4096

Level   dominant weight   weight multiplicity   length of W-orbit 
80[ 1, 0, 0, 0, 0, 0, 0, 1 ]12048
64[ 0, 1, 0, 0, 0, 0, 0, 0 ]21024

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

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]4112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 4861

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 1, 0, 0, 0, 0, 0, 0, 0 ]1256
61[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]5112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]131

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2,3,5
Dimension: 4862

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 1, 0, 0, 0, 0, 0, 0, 0 ]1256
61[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]5112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]141

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 5066

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]12112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]421

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 17
Dimension: 5319

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
55[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]13112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]551

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,17
Dimension: 5320

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
55[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]13112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]561

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 6069

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]8112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]211

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2,5
Dimension: 6188

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]9112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]281

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 6528

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 1, 0, 0, 0, 0, 0, 0 ]11024
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]21792
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]4448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]816

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 7
Dimension: 6749

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]516
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]17112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]611

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,7
Dimension: 6885

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]18112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]691

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 5
Dimension: 7056

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 1, 0, 0, 0, 0, 0, 0 ]11024
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]21792
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]5448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]1316

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2,3,5
Dimension: 7072

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 1, 0, 0, 0, 0, 0, 0 ]11024
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]21792
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]5448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]1416

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 8908

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
57[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
55[ 0, 0, 0, 0, 0, 1, 0, 1 ]21344
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]1316
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]20112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]761

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,3
Dimension: 9044

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
57[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
55[ 0, 0, 0, 0, 0, 1, 0, 1 ]21344
49[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
31[ 0, 0, 0, 0, 0, 0, 0, 2 ]1416
29[ 0, 0, 0, 0, 0, 0, 1, 0 ]21112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]841

Highest weight: [ 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 13328

Level   dominant weight   weight multiplicity   length of W-orbit 
68[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
64[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]7224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]8448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]3516

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 15488

Level   dominant weight   weight multiplicity   length of W-orbit 
74[ 0, 0, 0, 0, 0, 0, 1, 3 ]1224
72[ 0, 0, 0, 0, 0, 0, 2, 1 ]1224
70[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
68[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
64[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
46[ 0, 0, 0, 0, 0, 0, 0, 3 ]816
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]8224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]8448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]3616

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5
Dimension: 15504

Level   dominant weight   weight multiplicity   length of W-orbit 
76[ 0, 0, 0, 0, 0, 0, 0, 5 ]116
74[ 0, 0, 0, 0, 0, 0, 1, 3 ]1224
72[ 0, 0, 0, 0, 0, 0, 2, 1 ]1224
70[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
68[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
64[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
46[ 0, 0, 0, 0, 0, 0, 0, 3 ]816
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]8224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]8448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]3616

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 19040

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]31792
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]5224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]16448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]5616

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 2
Dimension: 21504

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]4224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]18448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]5616

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 3
Dimension: 21504

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]4224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]18448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]5616

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 22848

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
56[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
44[ 0, 0, 0, 0, 0, 0, 1, 1 ]5224
40[ 0, 0, 0, 0, 0, 1, 0, 0 ]20448
16[ 0, 0, 0, 0, 0, 0, 0, 1 ]7016