[Overview]

Weight Multiplicities

Groups of type B3, degree bound 700

Diagram:

1 < 2 - 3

Overview

DimensionHighest weightCharacteristic
1[ 0, 0, 0 ]all
6[ 0, 0, 1 ]2
7[ 0, 0, 1 ]not 2
8[ 1, 0, 0 ]all
14[ 0, 1, 0 ]2
21[ 0, 1, 0 ]not 2
26[ 0, 0, 2 ]7
27[ 0, 0, 2 ]not 2, 7
35[ 2, 0, 0 ]not 2
40[ 1, 0, 1 ]7
48[ 1, 0, 1 ]not 7
63[ 0, 1, 1 ]3
64[ 0, 1, 1 ]2
64[ 1, 1, 0 ]5
77[ 0, 0, 3 ]not 2, 3
104[ 1, 1, 0 ]3
104[ 3, 0, 0 ]5
105[ 0, 1, 1 ]not 2, 3
112[ 1, 1, 0 ]not 3, 5
112[ 3, 0, 0 ]not 2, 3, 5
120[ 1, 0, 2 ]3
132[ 0, 2, 0 ]3
141[ 0, 2, 0 ]5
155[ 0, 0, 4 ]11
168[ 0, 2, 0 ]not 2, 3, 5
168[ 1, 0, 2 ]not 2, 3
168[ 2, 0, 1 ]5
182[ 0, 0, 4 ]not 2, 3, 11
189[ 2, 0, 1 ]not 2, 5
189[ 2, 1, 0 ]3
248[ 1, 2, 0 ]7
280[ 1, 0, 3 ]11
293[ 4, 0, 0 ]5
294[ 4, 0, 0 ]not 2, 3, 5
301[ 0, 0, 5 ]13
304[ 0, 1, 2 ]7
309[ 0, 1, 2 ]3
330[ 0, 1, 2 ]not 2, 3, 7
344[ 1, 1, 1 ]5
371[ 0, 0, 5 ]11
371[ 0, 1, 3 ]5
371[ 2, 1, 0 ]5
378[ 0, 0, 5 ]not 2, 3, 5, 11, 13
378[ 2, 1, 0 ]not 2, 3, 5
384[ 1, 1, 1 ]3
448[ 1, 0, 3 ]not 2, 3, 11
448[ 2, 0, 2 ]5
448[ 3, 1, 0 ]7
472[ 1, 1, 1 ]7
483[ 0, 2, 2 ]5
512[ 1, 1, 1 ]not 3, 5, 7
518[ 2, 0, 2 ]3
521[ 0, 3, 0 ]7
560[ 1, 0, 4 ]13
560[ 3, 0, 1 ]not 2, 3
560[ 5, 0, 0 ]7
616[ 0, 2, 1 ]5
616[ 2, 0, 2 ]not 2, 3, 5
664[ 3, 1, 0 ]5
672[ 0, 2, 1 ]3
672[ 1, 2, 0 ]3
672[ 5, 0, 0 ]not 2, 3, 5, 7
687[ 0, 0, 6 ]13
693[ 0, 2, 1 ]not 2, 3, 5

The characters


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

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

Highest weight: [ 0, 0, 1 ]
Characteristic: 2
Dimension: 6

Level   dominant weight   weight multiplicity   length of W-orbit 
7[ 0, 0, 1 ]16

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

Level   dominant weight   weight multiplicity   length of W-orbit 
7[ 0, 0, 1 ]16
1[ 0, 0, 0 ]11

Highest weight: [ 1, 0, 0 ]
Characteristic: all
Dimension: 8

Level   dominant weight   weight multiplicity   length of W-orbit 
7[ 1, 0, 0 ]18

Highest weight: [ 0, 1, 0 ]
Characteristic: 2
Dimension: 14

Level   dominant weight   weight multiplicity   length of W-orbit 
11[ 0, 1, 0 ]112
1[ 0, 0, 0 ]21

Highest weight: [ 0, 1, 0 ]
Characteristic: not 2
Dimension: 21

Level   dominant weight   weight multiplicity   length of W-orbit 
11[ 0, 1, 0 ]112
7[ 0, 0, 1 ]16
1[ 0, 0, 0 ]31

Highest weight: [ 0, 0, 2 ]
Characteristic: 7
Dimension: 26

Level   dominant weight   weight multiplicity   length of W-orbit 
13[ 0, 0, 2 ]16
11[ 0, 1, 0 ]112
7[ 0, 0, 1 ]16
1[ 0, 0, 0 ]21

Highest weight: [ 0, 0, 2 ]
Characteristic: not 2,7
Dimension: 27

Level   dominant weight   weight multiplicity   length of W-orbit 
13[ 0, 0, 2 ]16
11[ 0, 1, 0 ]112
7[ 0, 0, 1 ]16
1[ 0, 0, 0 ]31

Highest weight: [ 2, 0, 0 ]
Characteristic: not 2
Dimension: 35

Level   dominant weight   weight multiplicity   length of W-orbit 
13[ 2, 0, 0 ]18
11[ 0, 1, 0 ]112
7[ 0, 0, 1 ]26
1[ 0, 0, 0 ]31

Highest weight: [ 1, 0, 1 ]
Characteristic: 7
Dimension: 40

Level   dominant weight   weight multiplicity   length of W-orbit 
13[ 1, 0, 1 ]124
7[ 1, 0, 0 ]28

Highest weight: [ 1, 0, 1 ]
Characteristic: not 7
Dimension: 48

Level   dominant weight   weight multiplicity   length of W-orbit 
13[ 1, 0, 1 ]124
7[ 1, 0, 0 ]38

Highest weight: [ 0, 1, 1 ]
Characteristic: 3
Dimension: 63

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]18
13[ 0, 0, 2 ]16
11[ 0, 1, 0 ]112
7[ 0, 0, 1 ]26
1[ 0, 0, 0 ]11

Highest weight: [ 0, 1, 1 ]
Characteristic: 2
Dimension: 64

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]28
7[ 0, 0, 1 ]46

Highest weight: [ 1, 1, 0 ]
Characteristic: 5
Dimension: 64

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 1, 1, 0 ]124
13[ 1, 0, 1 ]124
7[ 1, 0, 0 ]28

Highest weight: [ 0, 0, 3 ]
Characteristic: not 2,3
Dimension: 77

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 0, 0, 3 ]16
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]18
13[ 0, 0, 2 ]16
11[ 0, 1, 0 ]112
7[ 0, 0, 1 ]36
1[ 0, 0, 0 ]31

Highest weight: [ 1, 1, 0 ]
Characteristic: 3
Dimension: 104

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 1, 1, 0 ]124
13[ 1, 0, 1 ]224
7[ 1, 0, 0 ]48

Highest weight: [ 3, 0, 0 ]
Characteristic: 5
Dimension: 104

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 3, 0, 0 ]18
17[ 1, 1, 0 ]124
13[ 1, 0, 1 ]224
7[ 1, 0, 0 ]38

Highest weight: [ 0, 1, 1 ]
Characteristic: not 2,3
Dimension: 105

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]28
13[ 0, 0, 2 ]16
11[ 0, 1, 0 ]212
7[ 0, 0, 1 ]56
1[ 0, 0, 0 ]51

Highest weight: [ 1, 1, 0 ]
Characteristic: not 3,5
Dimension: 112

Level   dominant weight   weight multiplicity   length of W-orbit 
17[ 1, 1, 0 ]124
13[ 1, 0, 1 ]224
7[ 1, 0, 0 ]58

Highest weight: [ 3, 0, 0 ]
Characteristic: not 2,3,5
Dimension: 112

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 3, 0, 0 ]18
17[ 1, 1, 0 ]124
13[ 1, 0, 1 ]224
7[ 1, 0, 0 ]48

Highest weight: [ 1, 0, 2 ]
Characteristic: 3
Dimension: 120

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 1, 0, 2 ]124
17[ 1, 1, 0 ]124
13[ 1, 0, 1 ]224
7[ 1, 0, 0 ]38

Highest weight: [ 0, 2, 0 ]
Characteristic: 3
Dimension: 132

Level   dominant weight   weight multiplicity   length of W-orbit 
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]18
13[ 0, 0, 2 ]26
11[ 0, 1, 0 ]312
7[ 0, 0, 1 ]26
1[ 0, 0, 0 ]41

Highest weight: [ 0, 2, 0 ]
Characteristic: 5
Dimension: 141

Level   dominant weight   weight multiplicity   length of W-orbit 
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]28
13[ 0, 0, 2 ]16
11[ 0, 1, 0 ]312
7[ 0, 0, 1 ]36
1[ 0, 0, 0 ]51

Highest weight: [ 0, 0, 4 ]
Characteristic: 11
Dimension: 155

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 0, 4 ]16
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
19[ 0, 0, 3 ]16
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]18
13[ 0, 0, 2 ]26
11[ 0, 1, 0 ]212
7[ 0, 0, 1 ]26
1[ 0, 0, 0 ]31

Highest weight: [ 0, 2, 0 ]
Characteristic: not 2,3,5
Dimension: 168

Level   dominant weight   weight multiplicity   length of W-orbit 
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]28
13[ 0, 0, 2 ]26
11[ 0, 1, 0 ]412
7[ 0, 0, 1 ]46
1[ 0, 0, 0 ]81

Highest weight: [ 1, 0, 2 ]
Characteristic: not 2,3
Dimension: 168

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 1, 0, 2 ]124
17[ 1, 1, 0 ]124
13[ 1, 0, 1 ]324
7[ 1, 0, 0 ]68

Highest weight: [ 2, 0, 1 ]
Characteristic: 5
Dimension: 168

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 2, 0, 1 ]124
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]26
11[ 0, 1, 0 ]412
7[ 0, 0, 1 ]56
1[ 0, 0, 0 ]61

Highest weight: [ 0, 0, 4 ]
Characteristic: not 2,3,11
Dimension: 182

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 0, 0, 4 ]16
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
19[ 0, 0, 3 ]16
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]18
13[ 0, 0, 2 ]36
11[ 0, 1, 0 ]312
7[ 0, 0, 1 ]36
1[ 0, 0, 0 ]61

Highest weight: [ 2, 0, 1 ]
Characteristic: not 2,5
Dimension: 189

Level   dominant weight   weight multiplicity   length of W-orbit 
19[ 2, 0, 1 ]124
17[ 0, 1, 1 ]124
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]26
11[ 0, 1, 0 ]512
7[ 0, 0, 1 ]66
1[ 0, 0, 0 ]91

Highest weight: [ 2, 1, 0 ]
Characteristic: 3
Dimension: 189

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 2, 1, 0 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
17[ 0, 1, 1 ]224
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]16
11[ 0, 1, 0 ]212
7[ 0, 0, 1 ]46
1[ 0, 0, 0 ]31

Highest weight: [ 1, 2, 0 ]
Characteristic: 7
Dimension: 248

Level   dominant weight   weight multiplicity   length of W-orbit 
27[ 1, 2, 0 ]124
25[ 3, 0, 1 ]124
23[ 1, 1, 1 ]148
19[ 3, 0, 0 ]18
19[ 1, 0, 2 ]124
17[ 1, 1, 0 ]224
13[ 1, 0, 1 ]224
7[ 1, 0, 0 ]38

Highest weight: [ 1, 0, 3 ]
Characteristic: 11
Dimension: 280

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 1, 0, 3 ]124
23[ 1, 1, 1 ]148
19[ 3, 0, 0 ]18
19[ 1, 0, 2 ]224
17[ 1, 1, 0 ]224
13[ 1, 0, 1 ]324
7[ 1, 0, 0 ]48

Highest weight: [ 4, 0, 0 ]
Characteristic: 5
Dimension: 293

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 4, 0, 0 ]18
23[ 2, 1, 0 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]224
17[ 0, 1, 1 ]224
13[ 2, 0, 0 ]48
13[ 0, 0, 2 ]36
11[ 0, 1, 0 ]512
7[ 0, 0, 1 ]66
1[ 0, 0, 0 ]71

Highest weight: [ 4, 0, 0 ]
Characteristic: not 2,3,5
Dimension: 294

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 4, 0, 0 ]18
23[ 2, 1, 0 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]224
17[ 0, 1, 1 ]224
13[ 2, 0, 0 ]48
13[ 0, 0, 2 ]36
11[ 0, 1, 0 ]512
7[ 0, 0, 1 ]66
1[ 0, 0, 0 ]81

Highest weight: [ 0, 0, 5 ]
Characteristic: 13
Dimension: 301

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 5 ]16
29[ 0, 1, 3 ]124
27[ 0, 2, 1 ]124
25[ 2, 0, 2 ]124
25[ 0, 0, 4 ]16
23[ 2, 1, 0 ]124
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
19[ 0, 0, 3 ]26
17[ 0, 1, 1 ]224
13[ 2, 0, 0 ]28
13[ 0, 0, 2 ]26
11[ 0, 1, 0 ]212
7[ 0, 0, 1 ]36
1[ 0, 0, 0 ]31

Highest weight: [ 0, 1, 2 ]
Characteristic: 7
Dimension: 304

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]224
19[ 0, 0, 3 ]16
17[ 0, 1, 1 ]224
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]46
11[ 0, 1, 0 ]612
7[ 0, 0, 1 ]66
1[ 0, 0, 0 ]101

Highest weight: [ 0, 1, 2 ]
Characteristic: 3
Dimension: 309

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]224
19[ 0, 0, 3 ]16
17[ 0, 1, 1 ]224
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]56
11[ 0, 1, 0 ]612
7[ 0, 0, 1 ]66
1[ 0, 0, 0 ]91

Highest weight: [ 0, 1, 2 ]
Characteristic: not 2,3,7
Dimension: 330

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]224
19[ 0, 0, 3 ]16
17[ 0, 1, 1 ]224
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]56
11[ 0, 1, 0 ]712
7[ 0, 0, 1 ]76
1[ 0, 0, 0 ]121

Highest weight: [ 1, 1, 1 ]
Characteristic: 5
Dimension: 344

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 1, 1, 1 ]148
19[ 3, 0, 0 ]28
19[ 1, 0, 2 ]124
17[ 1, 1, 0 ]324
13[ 1, 0, 1 ]524
7[ 1, 0, 0 ]88

Highest weight: [ 0, 0, 5 ]
Characteristic: 11
Dimension: 371

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 5 ]16
29[ 0, 1, 3 ]124
27[ 0, 2, 1 ]124
25[ 2, 0, 2 ]124
25[ 0, 0, 4 ]16
23[ 2, 1, 0 ]124
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
19[ 0, 0, 3 ]36
17[ 0, 1, 1 ]324
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]36
11[ 0, 1, 0 ]312
7[ 0, 0, 1 ]56
1[ 0, 0, 0 ]51

Highest weight: [ 0, 1, 3 ]
Characteristic: 5
Dimension: 371

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 0, 1, 3 ]124
27[ 0, 2, 1 ]124
25[ 2, 0, 2 ]124
25[ 0, 0, 4 ]16
23[ 2, 1, 0 ]124
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
19[ 0, 0, 3 ]36
17[ 0, 1, 1 ]324
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]36
11[ 0, 1, 0 ]312
7[ 0, 0, 1 ]66
1[ 0, 0, 0 ]51

Highest weight: [ 2, 1, 0 ]
Characteristic: 5
Dimension: 371

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 2, 1, 0 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]224
17[ 0, 1, 1 ]324
13[ 2, 0, 0 ]68
13[ 0, 0, 2 ]36
11[ 0, 1, 0 ]712
7[ 0, 0, 1 ]96
1[ 0, 0, 0 ]111

Highest weight: [ 0, 0, 5 ]
Characteristic: not 2,3,5,11,13
Dimension: 378

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 0, 5 ]16
29[ 0, 1, 3 ]124
27[ 0, 2, 1 ]124
25[ 2, 0, 2 ]124
25[ 0, 0, 4 ]16
23[ 2, 1, 0 ]124
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]124
19[ 0, 0, 3 ]36
17[ 0, 1, 1 ]324
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]36
11[ 0, 1, 0 ]312
7[ 0, 0, 1 ]66
1[ 0, 0, 0 ]61

Highest weight: [ 2, 1, 0 ]
Characteristic: not 2,3,5
Dimension: 378

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 2, 1, 0 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]224
17[ 0, 1, 1 ]324
13[ 0, 0, 2 ]36
13[ 2, 0, 0 ]68
11[ 0, 1, 0 ]712
7[ 0, 0, 1 ]106
1[ 0, 0, 0 ]121

Highest weight: [ 1, 1, 1 ]
Characteristic: 3
Dimension: 384

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 1, 1, 1 ]148
19[ 3, 0, 0 ]18
19[ 1, 0, 2 ]224
17[ 1, 1, 0 ]324
13[ 1, 0, 1 ]624
7[ 1, 0, 0 ]88

Highest weight: [ 1, 0, 3 ]
Characteristic: not 2,3,11
Dimension: 448

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 1, 0, 3 ]124
23[ 1, 1, 1 ]148
19[ 3, 0, 0 ]18
19[ 1, 0, 2 ]324
17[ 1, 1, 0 ]324
13[ 1, 0, 1 ]624
7[ 1, 0, 0 ]108

Highest weight: [ 2, 0, 2 ]
Characteristic: 5
Dimension: 448

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 2, 0, 2 ]124
23[ 2, 1, 0 ]124
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]224
19[ 0, 0, 3 ]26
17[ 0, 1, 1 ]424
13[ 2, 0, 0 ]68
13[ 0, 0, 2 ]46
11[ 0, 1, 0 ]612
7[ 0, 0, 1 ]96
1[ 0, 0, 0 ]101

Highest weight: [ 3, 1, 0 ]
Characteristic: 7
Dimension: 448

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 3, 1, 0 ]124
27[ 1, 2, 0 ]124
25[ 3, 0, 1 ]124
23[ 1, 1, 1 ]248
19[ 3, 0, 0 ]38
19[ 1, 0, 2 ]224
17[ 1, 1, 0 ]324
13[ 1, 0, 1 ]424
7[ 1, 0, 0 ]58

Highest weight: [ 1, 1, 1 ]
Characteristic: 7
Dimension: 472

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 1, 1, 1 ]148
19[ 3, 0, 0 ]28
19[ 1, 0, 2 ]224
17[ 1, 1, 0 ]424
13[ 1, 0, 1 ]724
7[ 1, 0, 0 ]128

Highest weight: [ 0, 2, 2 ]
Characteristic: 5
Dimension: 483

Level   dominant weight   weight multiplicity   length of W-orbit 
33[ 0, 2, 2 ]124
31[ 2, 0, 3 ]124
31[ 0, 3, 0 ]112
29[ 2, 1, 1 ]148
29[ 0, 1, 3 ]124
27[ 0, 2, 1 ]124
25[ 4, 0, 0 ]18
25[ 2, 0, 2 ]124
25[ 0, 0, 4 ]16
23[ 2, 1, 0 ]124
23[ 0, 1, 2 ]224
21[ 0, 2, 0 ]212
19[ 2, 0, 1 ]224
19[ 0, 0, 3 ]26
17[ 0, 1, 1 ]224
13[ 2, 0, 0 ]28
13[ 0, 0, 2 ]36
11[ 0, 1, 0 ]312
7[ 0, 0, 1 ]26
1[ 0, 0, 0 ]31

Highest weight: [ 1, 1, 1 ]
Characteristic: not 3,5,7
Dimension: 512

Level   dominant weight   weight multiplicity   length of W-orbit 
23[ 1, 1, 1 ]148
19[ 3, 0, 0 ]28
19[ 1, 0, 2 ]224
17[ 1, 1, 0 ]424
13[ 1, 0, 1 ]824
7[ 1, 0, 0 ]148

Highest weight: [ 2, 0, 2 ]
Characteristic: 3
Dimension: 518

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 2, 0, 2 ]124
23[ 2, 1, 0 ]124
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]324
19[ 0, 0, 3 ]26
17[ 0, 1, 1 ]424
13[ 2, 0, 0 ]78
13[ 0, 0, 2 ]56
11[ 0, 1, 0 ]812
7[ 0, 0, 1 ]106
1[ 0, 0, 0 ]121

Highest weight: [ 0, 3, 0 ]
Characteristic: 7
Dimension: 521

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 0, 3, 0 ]112
29[ 2, 1, 1 ]148
27[ 0, 2, 1 ]124
25[ 4, 0, 0 ]18
25[ 2, 0, 2 ]124
23[ 2, 1, 0 ]224
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]312
19[ 2, 0, 1 ]324
19[ 0, 0, 3 ]16
17[ 0, 1, 1 ]324
13[ 2, 0, 0 ]48
13[ 0, 0, 2 ]36
11[ 0, 1, 0 ]512
7[ 0, 0, 1 ]56
1[ 0, 0, 0 ]71

Highest weight: [ 1, 0, 4 ]
Characteristic: 13
Dimension: 560

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 1, 0, 4 ]124
29[ 1, 1, 2 ]148
27[ 1, 2, 0 ]124
25[ 3, 0, 1 ]124
25[ 1, 0, 3 ]224
23[ 1, 1, 1 ]248
19[ 3, 0, 0 ]28
19[ 1, 0, 2 ]324
17[ 1, 1, 0 ]324
13[ 1, 0, 1 ]424
7[ 1, 0, 0 ]58

Highest weight: [ 3, 0, 1 ]
Characteristic: not 2,3
Dimension: 560

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 3, 0, 1 ]124
23[ 1, 1, 1 ]148
19[ 3, 0, 0 ]38
19[ 1, 0, 2 ]224
17[ 1, 1, 0 ]524
13[ 1, 0, 1 ]824
7[ 1, 0, 0 ]138

Highest weight: [ 5, 0, 0 ]
Characteristic: 7
Dimension: 560

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 5, 0, 0 ]18
29[ 3, 1, 0 ]124
27[ 1, 2, 0 ]124
25[ 3, 0, 1 ]224
23[ 1, 1, 1 ]248
19[ 3, 0, 0 ]38
19[ 1, 0, 2 ]324
17[ 1, 1, 0 ]424
13[ 1, 0, 1 ]524
7[ 1, 0, 0 ]68

Highest weight: [ 0, 2, 1 ]
Characteristic: 5
Dimension: 616

Level   dominant weight   weight multiplicity   length of W-orbit 
27[ 0, 2, 1 ]124
25[ 2, 0, 2 ]124
23[ 2, 1, 0 ]224
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]212
19[ 2, 0, 1 ]324
19[ 0, 0, 3 ]16
17[ 0, 1, 1 ]524
13[ 2, 0, 0 ]88
13[ 0, 0, 2 ]56
11[ 0, 1, 0 ]812
7[ 0, 0, 1 ]126
1[ 0, 0, 0 ]121

Highest weight: [ 2, 0, 2 ]
Characteristic: not 2,3,5
Dimension: 616

Level   dominant weight   weight multiplicity   length of W-orbit 
25[ 2, 0, 2 ]124
23[ 2, 1, 0 ]124
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]112
19[ 2, 0, 1 ]324
19[ 0, 0, 3 ]26
17[ 0, 1, 1 ]524
13[ 2, 0, 0 ]98
13[ 0, 0, 2 ]66
11[ 0, 1, 0 ]1012
7[ 0, 0, 1 ]146
1[ 0, 0, 0 ]161

Highest weight: [ 3, 1, 0 ]
Characteristic: 5
Dimension: 664

Level   dominant weight   weight multiplicity   length of W-orbit 
29[ 3, 1, 0 ]124
27[ 1, 2, 0 ]124
25[ 3, 0, 1 ]224
23[ 1, 1, 1 ]248
19[ 3, 0, 0 ]48
19[ 1, 0, 2 ]324
17[ 1, 1, 0 ]524
13[ 1, 0, 1 ]724
7[ 1, 0, 0 ]108

Highest weight: [ 0, 2, 1 ]
Characteristic: 3
Dimension: 672

Level   dominant weight   weight multiplicity   length of W-orbit 
27[ 0, 2, 1 ]124
25[ 2, 0, 2 ]124
23[ 2, 1, 0 ]224
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]212
19[ 2, 0, 1 ]324
19[ 0, 0, 3 ]26
17[ 0, 1, 1 ]624
13[ 2, 0, 0 ]98
13[ 0, 0, 2 ]66
11[ 0, 1, 0 ]812
7[ 0, 0, 1 ]146
1[ 0, 0, 0 ]121

Highest weight: [ 1, 2, 0 ]
Characteristic: 3
Dimension: 672

Level   dominant weight   weight multiplicity   length of W-orbit 
27[ 1, 2, 0 ]124
25[ 3, 0, 1 ]124
23[ 1, 1, 1 ]248
19[ 3, 0, 0 ]38
19[ 1, 0, 2 ]324
17[ 1, 1, 0 ]624
13[ 1, 0, 1 ]824
7[ 1, 0, 0 ]128

Highest weight: [ 5, 0, 0 ]
Characteristic: not 2,3,5,7
Dimension: 672

Level   dominant weight   weight multiplicity   length of W-orbit 
31[ 5, 0, 0 ]18
29[ 3, 1, 0 ]124
27[ 1, 2, 0 ]124
25[ 3, 0, 1 ]224
23[ 1, 1, 1 ]248
19[ 3, 0, 0 ]48
19[ 1, 0, 2 ]324
17[ 1, 1, 0 ]524
13[ 1, 0, 1 ]724
7[ 1, 0, 0 ]108

Highest weight: [ 0, 0, 6 ]
Characteristic: 13
Dimension: 687

Level   dominant weight   weight multiplicity   length of W-orbit 
37[ 0, 0, 6 ]16
35[ 0, 1, 4 ]124
33[ 0, 2, 2 ]124
31[ 2, 0, 3 ]124
31[ 0, 3, 0 ]112
31[ 0, 0, 5 ]16
29[ 2, 1, 1 ]148
29[ 0, 1, 3 ]124
27[ 0, 2, 1 ]124
25[ 4, 0, 0 ]18
25[ 2, 0, 2 ]124
25[ 0, 0, 4 ]36
23[ 2, 1, 0 ]124
23[ 0, 1, 2 ]324
21[ 0, 2, 0 ]312
19[ 2, 0, 1 ]324
19[ 0, 0, 3 ]36
17[ 0, 1, 1 ]324
13[ 2, 0, 0 ]38
13[ 0, 0, 2 ]56
11[ 0, 1, 0 ]512
7[ 0, 0, 1 ]56
1[ 0, 0, 0 ]71

Highest weight: [ 0, 2, 1 ]
Characteristic: not 2,3,5
Dimension: 693

Level   dominant weight   weight multiplicity   length of W-orbit 
27[ 0, 2, 1 ]124
25[ 2, 0, 2 ]124
23[ 2, 1, 0 ]224
23[ 0, 1, 2 ]124
21[ 0, 2, 0 ]212
19[ 2, 0, 1 ]324
19[ 0, 0, 3 ]26
17[ 0, 1, 1 ]624
13[ 2, 0, 0 ]98
13[ 0, 0, 2 ]66
11[ 0, 1, 0 ]912
7[ 0, 0, 1 ]156
1[ 0, 0, 0 ]151