Weight Multiplicities

Groups of type D8, degree bound 35000

Diagram:

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

Overview

Dimension	Highest weight	Characteristic
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 ]	1	1

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 ]	1	16

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 ]	1	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	6	1

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 ]	1	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

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 ]	1	128

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 ]	1	128

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 ]	1	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	1	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	7	1

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 ]	1	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	6	16

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 ]	1	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	7	16

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 ]	1	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	6	16

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 ]	1	16
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	7	16

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 ]	1	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	2	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	13	16

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 ]	1	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	2	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	14	16

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 ]	1	1120
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	4	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	14	1

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 ]	1	1024
29	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	6	128

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 ]	1	1024
29	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	6	128

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 ]	1	1120
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	6	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	28	1

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 ]	1	1024
29	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	7	128

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 ]	1	1024
29	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	7	128

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 ]	1	112
51	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	6	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	7	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	27	1

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 ]	1	16
55	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
53	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
51	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	6	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	6	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	21	1

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 ]	1	16
55	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
53	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
51	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	7	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	28	1

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 ]	1	1792
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	4	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	14	16

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 ]	1	1792
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	5	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	21	16

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 ]	1	1792
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2	1120
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	4	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

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 ]	1	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	6	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	12	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	42	1

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 ]	1	112
51	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	5	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	12	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	49	1

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 ]	1	112
51	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	6	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	13	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	55	1

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 ]	1	112
51	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	6	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	13	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	56	1

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 ]	1	128
55	[ 0, 0, 1, 0, 0, 0, 0, 0 ]	1	1792
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	10	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	35	1

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 ]	1	128
55	[ 0, 0, 1, 0, 0, 0, 0, 0 ]	1	1792
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	10	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	35	1

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 ]	1	1024
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	2	1792
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	4	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	8	16

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 ]	1	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	18	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	68	1

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 ]	1	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	19	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	76	1

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 ]	1	1792
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	4	1120
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	15	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	56	1

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 ]	1	224
53	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
51	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	2	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	14	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	19	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	69	1

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 ]	1	224
53	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
51	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	2	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	14	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	20	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	77	1

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 ]	1	3584
43	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	5	1024
29	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	21	128

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 ]	1	3584
43	[ 0, 1, 0, 0, 0, 0, 0, 1 ]	5	1024
29	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	21	128

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 ]	1	1024
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	3	1792
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	10	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	35	16

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 ]	1	1344
59	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	6	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	7	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	27	16

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 ]	1	3584
43	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	6	1024
29	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	27	128

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 ]	1	3584
43	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	6	1024
29	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	27	128

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 ]	1	3584
43	[ 0, 1, 0, 0, 0, 0, 0, 1 ]	6	1024
29	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	27	128

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 ]	1	3584
43	[ 0, 1, 0, 0, 0, 0, 0, 1 ]	6	1024
29	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	27	128

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 ]	1	3584
43	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	6	1024
29	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	28	128

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 ]	1	3584
43	[ 0, 1, 0, 0, 0, 0, 0, 1 ]	6	1024
29	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	28	128

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 ]	1	1024
55	[ 0, 1, 0, 0, 0, 0, 1, 0 ]	1	3584
43	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	6	1024
29	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	21	128

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 ]	1	1024
55	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	1	3584
43	[ 0, 1, 0, 0, 0, 0, 0, 1 ]	6	1024
29	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	21	128

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 ]	1	16
69	[ 0, 0, 0, 0, 0, 0, 1, 3 ]	1	224
67	[ 0, 0, 0, 0, 0, 0, 2, 1 ]	1	224
65	[ 0, 0, 0, 0, 0, 1, 0, 2 ]	1	1344
63	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
59	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
43	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	6	16
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	6	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	6	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	21	16

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 ]	1	224
67	[ 0, 0, 0, 0, 0, 0, 2, 1 ]	1	224
65	[ 0, 0, 0, 0, 0, 1, 0, 2 ]	1	1344
63	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
59	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
43	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	7	16
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	7	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	7	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	27	16

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 ]	1	16
69	[ 0, 0, 0, 0, 0, 0, 1, 3 ]	1	224
67	[ 0, 0, 0, 0, 0, 0, 2, 1 ]	1	224
65	[ 0, 0, 0, 0, 0, 1, 0, 2 ]	1	1344
63	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
59	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
43	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	7	16
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	7	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	7	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	28	16

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 ]	1	1024
55	[ 0, 1, 0, 0, 0, 0, 1, 0 ]	1	3584
43	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	7	1024
29	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	28	128

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 ]	1	1024
55	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	1	3584
43	[ 0, 1, 0, 0, 0, 0, 0, 1 ]	7	1024
29	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	28	128

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 ]	1	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	3	1792
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	6	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	17	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	63	16

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 ]	1	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	4	1792
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	4	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	18	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	56	16

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 ]	1	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	4	1792
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	6	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	21	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	77	16

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 ]	1	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	4	1792
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	6	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	22	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	84	16

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 ]	1	1344
63	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
59	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	2	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	3	1792
43	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	7	16
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	12	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	17	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	57	16

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 ]	1	1344
59	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	2	4480
51	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	4	1792
41	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	12	224
37	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	24	448
15	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	90	16

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 ]	1	448
71	[ 0, 0, 0, 0, 1, 0, 1, 0 ]	1	6720
65	[ 0, 0, 0, 1, 0, 0, 0, 1 ]	1	8960
55	[ 0, 0, 1, 0, 0, 0, 0, 0 ]	1	1792
53	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	4	112
51	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	5	1344
45	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	6	1120
29	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	15	16
27	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	19	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	49	1