[Overview]

Weight Multiplicities

Groups of type B8, degree bound 40000

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 ]2
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]not 2
118[ 0, 0, 0, 0, 0, 0, 1, 0 ]2
136[ 0, 0, 0, 0, 0, 0, 1, 0 ]not 2
151[ 0, 0, 0, 0, 0, 0, 0, 2 ]17
152[ 0, 0, 0, 0, 0, 0, 0, 2 ]not 2, 17
256[ 1, 0, 0, 0, 0, 0, 0, 0 ]all
544[ 0, 0, 0, 0, 0, 1, 0, 0 ]2
680[ 0, 0, 0, 0, 0, 1, 0, 0 ]not 2
935[ 0, 0, 0, 0, 0, 0, 0, 3 ]19
935[ 0, 0, 0, 0, 0, 0, 1, 1 ]3
952[ 0, 0, 0, 0, 0, 0, 0, 3 ]not 2, 3, 19
1344[ 0, 0, 0, 0, 0, 0, 1, 1 ]2
1582[ 0, 0, 0, 0, 1, 0, 0, 0 ]2
1615[ 0, 0, 0, 0, 0, 0, 1, 1 ]not 2, 3
2380[ 0, 0, 0, 0, 1, 0, 0, 0 ]not 2
3808[ 0, 0, 0, 1, 0, 0, 0, 0 ]2
3840[ 1, 0, 0, 0, 0, 0, 0, 1 ]17
4096[ 1, 0, 0, 0, 0, 0, 0, 1 ]not 17
4251[ 0, 0, 0, 0, 0, 0, 2, 0 ]3
4488[ 0, 0, 1, 0, 0, 0, 0, 0 ]2
4540[ 0, 0, 0, 0, 0, 0, 0, 4 ]7
4691[ 0, 0, 0, 0, 0, 0, 0, 4 ]19
4692[ 0, 0, 0, 0, 0, 0, 0, 4 ]not 2, 3, 7, 19
5066[ 0, 0, 0, 0, 0, 1, 0, 1 ]2
6188[ 0, 0, 0, 1, 0, 0, 0, 0 ]not 2
6528[ 0, 1, 0, 0, 0, 0, 0, 0 ]2
6631[ 0, 0, 0, 0, 0, 0, 2, 0 ]5
6783[ 0, 0, 0, 0, 0, 0, 2, 0 ]not 2, 3, 5
8908[ 0, 0, 0, 0, 0, 1, 0, 1 ]3
8908[ 0, 0, 0, 0, 0, 1, 0, 1 ]5
9044[ 0, 0, 0, 0, 0, 1, 0, 1 ]not 2, 3, 5
11189[ 0, 0, 0, 0, 0, 0, 1, 2 ]17
11204[ 0, 0, 0, 0, 0, 0, 1, 2 ]19
11340[ 0, 0, 0, 0, 0, 0, 1, 2 ]not 2, 17, 19
12376[ 0, 0, 1, 0, 0, 0, 0, 0 ]not 2
16779[ 0, 0, 0, 0, 0, 1, 1, 0 ]3
18428[ 0, 0, 0, 0, 0, 0, 0, 5 ]23
19363[ 0, 0, 0, 0, 0, 0, 0, 5 ]7
19363[ 0, 0, 0, 0, 0, 0, 1, 3 ]5
19380[ 0, 0, 0, 0, 0, 0, 0, 5 ]not 2, 3, 5, 7, 23
19448[ 0, 1, 0, 0, 0, 0, 0, 0 ]not 2
21504[ 0, 0, 0, 0, 1, 0, 0, 1 ]2
24310[ 2, 0, 0, 0, 0, 0, 0, 0 ]not 2
26368[ 1, 0, 0, 0, 0, 0, 1, 0 ]3
26368[ 1, 0, 0, 0, 0, 0, 1, 0 ]5
27404[ 0, 0, 0, 0, 1, 0, 0, 1 ]5
30208[ 1, 0, 0, 0, 0, 0, 1, 0 ]2
30464[ 1, 0, 0, 0, 0, 0, 1, 0 ]not 2, 3, 5
30720[ 1, 0, 0, 0, 0, 0, 0, 2 ]19
32352[ 0, 0, 0, 0, 0, 1, 1, 0 ]2
32912[ 0, 0, 0, 0, 1, 0, 0, 1 ]7
33592[ 0, 0, 0, 0, 1, 0, 0, 1 ]not 2, 5, 7
34816[ 1, 0, 0, 0, 0, 0, 0, 2 ]not 2, 19

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: 2
Dimension: 16

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]116

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

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]116
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]11

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

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 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: 136

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]116
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 17
Dimension: 151

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]116
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]116
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]71

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,17
Dimension: 152

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]116
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]116
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 1, 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 ]1256

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 544

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]616

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 680

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]716
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: 19
Dimension: 935

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]116
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]716
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]71

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 935

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]116
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]816
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]71

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,19
Dimension: 952

Level   dominant weight   weight multiplicity   length of W-orbit 
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]116
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]816
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 1344

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]2448
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]1416

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

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
31[ 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, 0, 0, 1, 1 ]
Characteristic: not 2,3
Dimension: 1615

Level   dominant weight   weight multiplicity   length of W-orbit 
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]2448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]116
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]2112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]1516
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]151

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 2380

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]6112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]716
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]281

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

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]4448
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]1416

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 17
Dimension: 3840

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 1, 0, 0, 0, 0, 0, 0, 1 ]12048
37[ 1, 0, 0, 0, 0, 0, 0, 0 ]7256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 17
Dimension: 4096

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 1, 0, 0, 0, 0, 0, 0, 1 ]12048
37[ 1, 0, 0, 0, 0, 0, 0, 0 ]8256

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 4251

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]7112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]616
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]271

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

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]4112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]81

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 7
Dimension: 4540

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]7112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]716
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]281

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 19
Dimension: 4691

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]816
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]8112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]816
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]351

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,7,19
Dimension: 4692

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]816
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]8112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]816
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]361

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

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]12112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]421

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

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]5448
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]6112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]2116
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 
71[ 0, 1, 0, 0, 0, 0, 0, 0 ]11024
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]21792
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]4448
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]816

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 5
Dimension: 6631

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]2448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]13112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]1316
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]551

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,5
Dimension: 6783

Level   dominant weight   weight multiplicity   length of W-orbit 
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]2448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]14112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]1416
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]631

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

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]3448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]19112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]2016
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]761

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 5
Dimension: 8908

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]3448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]19112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]2016
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]761

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 9044

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]3448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]20112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]2116
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]841

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 17
Dimension: 11189

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]21344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]2224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]3448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]1416
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]21112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]2116
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]851

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 19
Dimension: 11204

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]21344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]2224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]3448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]1516
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]21112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]2116
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]841

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,17,19
Dimension: 11340

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]21344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]2224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]3448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]1516
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]22112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]2216
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]921

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 12376

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]41120
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]5448
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]15112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]2116
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]561

Highest weight: [ 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 16779

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]7224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]8448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]7112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]3316
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]271

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 23
Dimension: 18428

Level   dominant weight   weight multiplicity   length of W-orbit 
81[ 0, 0, 0, 0, 0, 0, 0, 5 ]116
79[ 0, 0, 0, 0, 0, 0, 1, 3 ]1224
77[ 0, 0, 0, 0, 0, 0, 2, 1 ]1224
75[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
73[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
65[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]716
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]7224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]7448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]7112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]2816
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]281

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 7
Dimension: 19363

Level   dominant weight   weight multiplicity   length of W-orbit 
81[ 0, 0, 0, 0, 0, 0, 0, 5 ]116
79[ 0, 0, 0, 0, 0, 0, 1, 3 ]1224
77[ 0, 0, 0, 0, 0, 0, 2, 1 ]1224
75[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
73[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
65[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]816
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]8224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]8448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]816
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]8112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]3516
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]351

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 19363

Level   dominant weight   weight multiplicity   length of W-orbit 
79[ 0, 0, 0, 0, 0, 0, 1, 3 ]1224
77[ 0, 0, 0, 0, 0, 0, 2, 1 ]1224
75[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
73[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
65[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]816
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]8224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]8448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]816
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]8112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]3616
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]351

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5,7,23
Dimension: 19380

Level   dominant weight   weight multiplicity   length of W-orbit 
81[ 0, 0, 0, 0, 0, 0, 0, 5 ]116
79[ 0, 0, 0, 0, 0, 0, 1, 3 ]1224
77[ 0, 0, 0, 0, 0, 0, 2, 1 ]1224
75[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
73[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
65[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
63[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
61[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
49[ 0, 0, 0, 0, 0, 0, 0, 3 ]816
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]8224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]8448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]816
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]8112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]3616
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]361

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 19448

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 1, 0, 0, 0, 0, 0, 0 ]11024
67[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]31792
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]41120
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]10448
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]15112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]3516
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]561

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

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]4224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]18448
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]5616

Highest weight: [ 2, 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 ]1256
71[ 0, 1, 0, 0, 0, 0, 0, 0 ]11024
67[ 0, 0, 1, 0, 0, 0, 0, 0 ]21792
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]31792
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]61120
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]10448
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]20112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]3516
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]701

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 26368

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 1, 0, 0, 0, 0, 0, 1, 0 ]17168
53[ 1, 0, 0, 0, 0, 0, 0, 1 ]62048
37[ 1, 0, 0, 0, 0, 0, 0, 0 ]27256

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 5
Dimension: 26368

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 1, 0, 0, 0, 0, 0, 1, 0 ]17168
53[ 1, 0, 0, 0, 0, 0, 0, 1 ]62048
37[ 1, 0, 0, 0, 0, 0, 0, 0 ]27256

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 27404

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]31792
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]6224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]18448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]19112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]7016
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]761

Highest weight: [ 1, 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, 1, 0 ]17168
53[ 1, 0, 0, 0, 0, 0, 0, 1 ]72048
37[ 1, 0, 0, 0, 0, 0, 0, 0 ]34256

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2,3,5
Dimension: 30464

Level   dominant weight   weight multiplicity   length of W-orbit 
67[ 1, 0, 0, 0, 0, 0, 1, 0 ]17168
53[ 1, 0, 0, 0, 0, 0, 0, 1 ]72048
37[ 1, 0, 0, 0, 0, 0, 0, 0 ]35256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 19
Dimension: 30720

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 1, 0, 0, 0, 0, 0, 0, 2 ]12048
67[ 1, 0, 0, 0, 0, 0, 1, 0 ]17168
53[ 1, 0, 0, 0, 0, 0, 0, 1 ]72048
37[ 1, 0, 0, 0, 0, 0, 0, 0 ]28256

Highest weight: [ 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 32352

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]24480
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]12224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]24448
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]9016

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 7
Dimension: 32912

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]41120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]6224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]22448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]24112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]8416
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]961

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: not 2,5,7
Dimension: 33592

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
61[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
59[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
53[ 0, 0, 0, 0, 1, 0, 0, 0 ]41120
47[ 0, 0, 0, 0, 0, 0, 1, 1 ]6224
43[ 0, 0, 0, 0, 0, 1, 0, 0 ]23448
33[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
31[ 0, 0, 0, 0, 0, 0, 1, 0 ]25112
17[ 0, 0, 0, 0, 0, 0, 0, 1 ]9116
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]1041

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,19
Dimension: 34816

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 1, 0, 0, 0, 0, 0, 0, 2 ]12048
67[ 1, 0, 0, 0, 0, 0, 1, 0 ]17168
53[ 1, 0, 0, 0, 0, 0, 0, 1 ]82048
37[ 1, 0, 0, 0, 0, 0, 0, 0 ]36256