[Overview]

Weight Multiplicities

Groups of type D8, degree bound 35000

Diagram:

 1
  \
   3 - 4 - .. - 8
  /
 2

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
120[ 0, 0, 0, 0, 0, 0, 1, 0 ]not 2
128[ 0, 1, 0, 0, 0, 0, 0, 0 ]all
128[ 1, 0, 0, 0, 0, 0, 0, 0 ]all
135[ 0, 0, 0, 0, 0, 0, 0, 2 ]not 2
544[ 0, 0, 0, 0, 0, 1, 0, 0 ]2
560[ 0, 0, 0, 0, 0, 1, 0, 0 ]not 2
768[ 0, 0, 0, 0, 0, 0, 1, 1 ]3
800[ 0, 0, 0, 0, 0, 0, 0, 3 ]not 2, 3
1328[ 0, 0, 0, 0, 0, 0, 1, 1 ]5
1344[ 0, 0, 0, 0, 0, 0, 1, 1 ]not 3, 5
1582[ 0, 0, 0, 0, 1, 0, 0, 0 ]2
1792[ 0, 1, 0, 0, 0, 0, 0, 1 ]2
1792[ 1, 0, 0, 0, 0, 0, 0, 1 ]2
1820[ 0, 0, 0, 0, 1, 0, 0, 0 ]not 2
1920[ 0, 1, 0, 0, 0, 0, 0, 1 ]not 2
1920[ 1, 0, 0, 0, 0, 0, 0, 1 ]not 2
3483[ 0, 0, 0, 0, 0, 0, 2, 0 ]3
3605[ 0, 0, 0, 0, 0, 0, 0, 4 ]5
3740[ 0, 0, 0, 0, 0, 0, 0, 4 ]not 2, 3, 5
3808[ 0, 0, 0, 1, 0, 0, 0, 0 ]2
4368[ 0, 0, 0, 1, 0, 0, 0, 0 ]not 2
4488[ 0, 0, 1, 0, 0, 0, 0, 0 ]2
5066[ 0, 0, 0, 0, 0, 1, 0, 1 ]2
5169[ 0, 0, 0, 0, 0, 0, 2, 0 ]7
5303[ 0, 0, 0, 0, 0, 0, 2, 0 ]5
5304[ 0, 0, 0, 0, 0, 0, 2, 0 ]not 2, 3, 5, 7
6435[ 0, 2, 0, 0, 0, 0, 0, 0 ]not 2
6435[ 2, 0, 0, 0, 0, 0, 0, 0 ]not 2
6528[ 1, 1, 0, 0, 0, 0, 0, 0 ]2
6900[ 0, 0, 0, 0, 0, 1, 0, 1 ]7
7020[ 0, 0, 0, 0, 0, 1, 0, 1 ]not 2, 7
8008[ 0, 0, 1, 0, 0, 0, 0, 0 ]not 2
8805[ 0, 0, 0, 0, 0, 0, 1, 2 ]3
8925[ 0, 0, 0, 0, 0, 0, 1, 2 ]not 2, 3
11392[ 0, 1, 0, 0, 0, 0, 1, 0 ]7
11392[ 1, 0, 0, 0, 0, 0, 1, 0 ]7
11440[ 1, 1, 0, 0, 0, 0, 0, 0 ]not 2
12528[ 0, 0, 0, 0, 0, 1, 1, 0 ]3
13184[ 0, 1, 0, 0, 0, 0, 1, 0 ]3
13184[ 0, 1, 0, 0, 0, 0, 1, 0 ]5
13184[ 1, 0, 0, 0, 0, 0, 1, 0 ]3
13184[ 1, 0, 0, 0, 0, 0, 1, 0 ]5
13312[ 0, 1, 0, 0, 0, 0, 1, 0 ]not 3, 5, 7
13312[ 1, 0, 0, 0, 0, 0, 1, 0 ]not 3, 5, 7
13440[ 0, 1, 0, 0, 0, 0, 0, 2 ]3
13440[ 1, 0, 0, 0, 0, 0, 0, 2 ]3
13888[ 0, 0, 0, 0, 0, 0, 0, 5 ]11
14656[ 0, 0, 0, 0, 0, 0, 1, 3 ]5
14688[ 0, 0, 0, 0, 0, 0, 0, 5 ]not 2, 3, 5, 11
15360[ 0, 1, 0, 0, 0, 0, 0, 2 ]not 2, 3
15360[ 1, 0, 0, 0, 0, 0, 0, 2 ]not 2, 3
19824[ 0, 0, 0, 0, 1, 0, 0, 1 ]5
21504[ 0, 0, 0, 0, 1, 0, 0, 1 ]2
23632[ 0, 0, 0, 0, 1, 0, 0, 1 ]13
24192[ 0, 0, 0, 0, 1, 0, 0, 1 ]not 2, 5, 13
28352[ 0, 0, 0, 0, 0, 1, 0, 2 ]5
32352[ 0, 0, 0, 0, 0, 1, 1, 0 ]2
34225[ 0, 0, 0, 0, 0, 2, 0, 0 ]3

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 
15[ 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 
27[ 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: 120

Level   dominant weight   weight multiplicity   length of W-orbit 
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]1112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]81

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

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 1, 0, 0, 0, 0, 0, 0 ]1128

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

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 1, 0, 0, 0, 0, 0, 0, 0 ]1128

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2
Dimension: 135

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]116
27[ 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, 1, 0, 0 ]
Characteristic: 2
Dimension: 544

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]616

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 560

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]716

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 768

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]616

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3
Dimension: 800

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 0, 0, 0, 0, 3 ]116
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]1448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]716

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 5
Dimension: 1328

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]2448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]1316

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 3,5
Dimension: 1344

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]1224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]2448
15[ 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 
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]4112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]141

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

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 1, 0, 0, 0, 0, 0, 1 ]11024
29[ 1, 0, 0, 0, 0, 0, 0, 0 ]6128

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

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 1, 0, 0, 0, 0, 0, 0, 1 ]11024
29[ 0, 1, 0, 0, 0, 0, 0, 0 ]6128

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 1820

Level   dominant weight   weight multiplicity   length of W-orbit 
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]6112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]281

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 2
Dimension: 1920

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 1, 0, 0, 0, 0, 0, 1 ]11024
29[ 1, 0, 0, 0, 0, 0, 0, 0 ]7128

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 2
Dimension: 1920

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 1, 0, 0, 0, 0, 0, 0, 1 ]11024
29[ 0, 1, 0, 0, 0, 0, 0, 0 ]7128

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 3483

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]7112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]271

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 5
Dimension: 3605

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
55[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
53[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]6112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]211

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,5
Dimension: 3740

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 0, 0, 0, 0, 0, 0, 4 ]116
55[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
53[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]11120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]7112
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 
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]4448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]1416

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 4368

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]5448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]2116

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

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
27[ 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, 1, 0, 1 ]
Characteristic: 2
Dimension: 5066

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
27[ 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: 7
Dimension: 5169

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]516
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]12112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]491

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 5
Dimension: 5303

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
27[ 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 2,3,5,7
Dimension: 5304

Level   dominant weight   weight multiplicity   length of W-orbit 
53[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]21120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]616
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]13112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]561

Highest weight: [ 0, 2, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 6435

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 2, 0, 0, 0, 0, 0, 0 ]1128
55[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]10112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]351

Highest weight: [ 2, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 6435

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 2, 0, 0, 0, 0, 0, 0, 0 ]1128
55[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]10112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]351

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

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 1, 1, 0, 0, 0, 0, 0, 0 ]11024
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]21792
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]4448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]816

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 7
Dimension: 6900

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]18112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]681

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,7
Dimension: 7020

Level   dominant weight   weight multiplicity   length of W-orbit 
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]11344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]716
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]19112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]761

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 8008

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]41120
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]15112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]561

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 8805

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
53[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]21344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]1416
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]19112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]691

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,3
Dimension: 8925

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 0, 0, 0, 0, 0, 1, 2 ]1224
53[ 0, 0, 0, 0, 0, 0, 2, 0 ]1112
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]21344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]31120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]1416
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]20112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]771

Highest weight: [ 0, 1, 0, 0, 0, 0, 1, 0 ]
Characteristic: 7
Dimension: 11392

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 1, 0, 0, 0, 0, 1, 0 ]13584
43[ 1, 0, 0, 0, 0, 0, 0, 1 ]51024
29[ 0, 1, 0, 0, 0, 0, 0, 0 ]21128

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 7
Dimension: 11392

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 1, 0, 0, 0, 0, 0, 1, 0 ]13584
43[ 0, 1, 0, 0, 0, 0, 0, 1 ]51024
29[ 1, 0, 0, 0, 0, 0, 0, 0 ]21128

Highest weight: [ 1, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 11440

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 1, 1, 0, 0, 0, 0, 0, 0 ]11024
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]31792
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]10448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]3516

Highest weight: [ 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 12528

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]6224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]7448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]2716

Highest weight: [ 0, 1, 0, 0, 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 13184

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 1, 0, 0, 0, 0, 1, 0 ]13584
43[ 1, 0, 0, 0, 0, 0, 0, 1 ]61024
29[ 0, 1, 0, 0, 0, 0, 0, 0 ]27128

Highest weight: [ 0, 1, 0, 0, 0, 0, 1, 0 ]
Characteristic: 5
Dimension: 13184

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 1, 0, 0, 0, 0, 1, 0 ]13584
43[ 1, 0, 0, 0, 0, 0, 0, 1 ]61024
29[ 0, 1, 0, 0, 0, 0, 0, 0 ]27128

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 13184

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 1, 0, 0, 0, 0, 0, 1, 0 ]13584
43[ 0, 1, 0, 0, 0, 0, 0, 1 ]61024
29[ 1, 0, 0, 0, 0, 0, 0, 0 ]27128

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 5
Dimension: 13184

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 1, 0, 0, 0, 0, 0, 1, 0 ]13584
43[ 0, 1, 0, 0, 0, 0, 0, 1 ]61024
29[ 1, 0, 0, 0, 0, 0, 0, 0 ]27128

Highest weight: [ 0, 1, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 3,5,7
Dimension: 13312

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 0, 1, 0, 0, 0, 0, 1, 0 ]13584
43[ 1, 0, 0, 0, 0, 0, 0, 1 ]61024
29[ 0, 1, 0, 0, 0, 0, 0, 0 ]28128

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 3,5,7
Dimension: 13312

Level   dominant weight   weight multiplicity   length of W-orbit 
55[ 1, 0, 0, 0, 0, 0, 1, 0 ]13584
43[ 0, 1, 0, 0, 0, 0, 0, 1 ]61024
29[ 1, 0, 0, 0, 0, 0, 0, 0 ]28128

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 13440

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 1, 0, 0, 0, 0, 0, 2 ]11024
55[ 0, 1, 0, 0, 0, 0, 1, 0 ]13584
43[ 1, 0, 0, 0, 0, 0, 0, 1 ]61024
29[ 0, 1, 0, 0, 0, 0, 0, 0 ]21128

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 13440

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 1, 0, 0, 0, 0, 0, 0, 2 ]11024
55[ 1, 0, 0, 0, 0, 0, 1, 0 ]13584
43[ 0, 1, 0, 0, 0, 0, 0, 1 ]61024
29[ 1, 0, 0, 0, 0, 0, 0, 0 ]21128

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 11
Dimension: 13888

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 0, 0, 0, 0, 0, 0, 5 ]116
69[ 0, 0, 0, 0, 0, 0, 1, 3 ]1224
67[ 0, 0, 0, 0, 0, 0, 2, 1 ]1224
65[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
63[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
43[ 0, 0, 0, 0, 0, 0, 0, 3 ]616
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]6224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]6448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]2116

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 14656

Level   dominant weight   weight multiplicity   length of W-orbit 
69[ 0, 0, 0, 0, 0, 0, 1, 3 ]1224
67[ 0, 0, 0, 0, 0, 0, 2, 1 ]1224
65[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
63[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
43[ 0, 0, 0, 0, 0, 0, 0, 3 ]716
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]7224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]7448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]2716

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5,11
Dimension: 14688

Level   dominant weight   weight multiplicity   length of W-orbit 
71[ 0, 0, 0, 0, 0, 0, 0, 5 ]116
69[ 0, 0, 0, 0, 0, 0, 1, 3 ]1224
67[ 0, 0, 0, 0, 0, 0, 2, 1 ]1224
65[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
63[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]11792
43[ 0, 0, 0, 0, 0, 0, 0, 3 ]716
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]7224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]7448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]2816

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,3
Dimension: 15360

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 0, 1, 0, 0, 0, 0, 0, 2 ]11024
55[ 0, 1, 0, 0, 0, 0, 1, 0 ]13584
43[ 1, 0, 0, 0, 0, 0, 0, 1 ]71024
29[ 0, 1, 0, 0, 0, 0, 0, 0 ]28128

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,3
Dimension: 15360

Level   dominant weight   weight multiplicity   length of W-orbit 
57[ 1, 0, 0, 0, 0, 0, 0, 2 ]11024
55[ 1, 0, 0, 0, 0, 0, 1, 0 ]13584
43[ 0, 1, 0, 0, 0, 0, 0, 1 ]71024
29[ 1, 0, 0, 0, 0, 0, 0, 0 ]28128

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 19824

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]31792
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]6224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]17448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]6316

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

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]4224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]18448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]5616

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 13
Dimension: 23632

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]6224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]21448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]7716

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: not 2,5,13
Dimension: 24192

Level   dominant weight   weight multiplicity   length of W-orbit 
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]14480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]6224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]22448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]8416

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 2 ]
Characteristic: 5
Dimension: 28352

Level   dominant weight   weight multiplicity   length of W-orbit 
65[ 0, 0, 0, 0, 0, 1, 0, 2 ]11344
63[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]24480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]31792
43[ 0, 0, 0, 0, 0, 0, 0, 3 ]716
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]12224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]17448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]5716

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

Level   dominant weight   weight multiplicity   length of W-orbit 
63[ 0, 0, 0, 0, 0, 1, 1, 0 ]11344
59[ 0, 0, 0, 0, 1, 0, 0, 1 ]24480
51[ 0, 0, 0, 1, 0, 0, 0, 0 ]41792
41[ 0, 0, 0, 0, 0, 0, 1, 1 ]12224
37[ 0, 0, 0, 0, 0, 1, 0, 0 ]24448
15[ 0, 0, 0, 0, 0, 0, 0, 1 ]9016

Highest weight: [ 0, 0, 0, 0, 0, 2, 0, 0 ]
Characteristic: 3
Dimension: 34225

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 2, 0, 0 ]1448
71[ 0, 0, 0, 0, 1, 0, 1, 0 ]16720
65[ 0, 0, 0, 1, 0, 0, 0, 1 ]18960
55[ 0, 0, 1, 0, 0, 0, 0, 0 ]11792
53[ 0, 0, 0, 0, 0, 0, 2, 0 ]4112
51[ 0, 0, 0, 0, 0, 1, 0, 1 ]51344
45[ 0, 0, 0, 0, 1, 0, 0, 0 ]61120
29[ 0, 0, 0, 0, 0, 0, 0, 2 ]1516
27[ 0, 0, 0, 0, 0, 0, 1, 0 ]19112
1[ 0, 0, 0, 0, 0, 0, 0, 0 ]491