Weight Multiplicities

Groups of type D9, degree bound 70000

Diagram:

 1
  \
   3 - 4 - .. - 9
  /
 2

Overview

Dimension	Highest weight	Characteristic
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	all
18	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	all
152	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	2
153	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	not 2
169	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	3
170	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	not 2, 3
256	[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	all
256	[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	all
780	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	2
816	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	not 2
1104	[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	5
1104	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	3
1122	[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	not 2, 3, 5
1902	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	17
1920	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	not 3, 17
2906	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	2
3060	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	not 2
4096	[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]	3
4096	[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]	3
4352	[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]	not 3
4352	[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]	not 3
5490	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	3
5644	[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]	11
5813	[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]	5
5814	[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]	not 2, 3, 5, 11
6972	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	2
8226	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	2
8549	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	17
8550	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	not 2, 3, 17
8568	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	not 2
11475	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	not 2
14043	[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	3
14059	[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	5
14212	[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	not 2, 3, 5
15504	[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	2
15504	[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]	2
18564	[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	not 2
21030	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	3
22288	[ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]	2
24310	[ 0, 2, 0, 0, 0, 0, 0, 0, 0 ]	not 2
24310	[ 2, 0, 0, 0, 0, 0, 0, 0, 0 ]	not 2
25176	[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]	11
25176	[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]	5
25194	[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]	not 2, 3, 5, 11
30208	[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]	2
30208	[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]	2
31824	[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]	not 2
34304	[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]	17
34304	[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]	17
34560	[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]	not 2, 17
34560	[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]	not 2, 17
34816	[ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]	5
34816	[ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]	5
36312	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	5
39168	[ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]	not 2, 5
39168	[ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]	not 2, 5
43758	[ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]	not 2
43776	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	2
44880	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	3
45696	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	not 2, 3, 5
53160	[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]	5
59244	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	2
65910	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	5
67830	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	not 2, 3, 5

The characters

Highest weight: [ 0, 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, 0 ]	1	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: all
Dimension: 18

Level	dominant weight	weight multiplicity	length of W-orbit
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	1	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 152

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 153

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	9	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 169

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	1	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	7	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,3
Dimension: 170

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	1	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	1	256

Highest weight: [ 1, 0, 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, 0 ]	1	256

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 780

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	6	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 816

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	8	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: 5
Dimension: 1104

Level	dominant weight	weight multiplicity	length of W-orbit
49	[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	1	18
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	1	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	7	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 1104

Level	dominant weight	weight multiplicity	length of W-orbit
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	1	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	8	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,5
Dimension: 1122

Level	dominant weight	weight multiplicity	length of W-orbit
49	[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	1	18
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	1	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	8	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 17
Dimension: 1902

Level	dominant weight	weight multiplicity	length of W-orbit
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	1	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	2	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	15	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 3,17
Dimension: 1920

Level	dominant weight	weight multiplicity	length of W-orbit
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	1	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	2	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	16	18

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 2906

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	2016
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	6	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	26	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 3060

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	2016
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	7	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	36	1

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 4096

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]	1	2304
37	[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	7	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 4096

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]	1	2304
37	[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	7	256

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 3
Dimension: 4352

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]	1	2304
37	[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	8	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 3
Dimension: 4352

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]	1	2304
37	[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	8	256

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 5490

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	144
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	7	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	8	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	36	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 11
Dimension: 5644

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]	1	18
63	[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	1	288
61	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	144
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	7	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	7	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	28	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 5
Dimension: 5813

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]	1	18
63	[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	1	288
61	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	144
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	8	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	8	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	35	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,5,11
Dimension: 5814

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 0, 0, 0, 0, 0, 0, 4 ]	1	18
63	[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	1	288
61	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	144
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	8	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	8	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	36	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 6972

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	4032
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	4	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	14	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 8226

Level	dominant weight	weight multiplicity	length of W-orbit
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	2	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	6	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	14	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	54	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 17
Dimension: 8549

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	144
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	2	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	7	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	15	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	71	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,17
Dimension: 8550

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	144
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	2	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	7	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	15	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	72	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 8568

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	4032
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	6	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	28	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2
Dimension: 11475

Level	dominant weight	weight multiplicity	length of W-orbit
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	8	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	22	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	99	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 14043

Level	dominant weight	weight multiplicity	length of W-orbit
63	[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	1	288
61	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	144
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	2	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	15	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	22	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	93	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 5
Dimension: 14059

Level	dominant weight	weight multiplicity	length of W-orbit
63	[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	1	288
61	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	144
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	2	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	16	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	22	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	91	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,3,5
Dimension: 14212

Level	dominant weight	weight multiplicity	length of W-orbit
63	[ 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	1	288
61	[ 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	144
59	[ 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	2	2016
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3	2016
33	[ 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	16	18
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	23	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	100	1

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 15504

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	1	5376
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	4	2016
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	14	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	48	1

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 15504

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]	1	4608
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	2	4032
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	4	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	8	18

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 18564

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	1	5376
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	5	2016
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	21	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	84	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 21030

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	1	2016
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	1	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	4032
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	6	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	7	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	27	18

Highest weight: [ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 22288

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]	1	2304
67	[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	2	5376
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	4	2016
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	8	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	16	1

Highest weight: [ 0, 2, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 24310

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 2, 0, 0, 0, 0, 0, 0, 0 ]	1	256
71	[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]	1	4608
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	3	4032
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	10	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	35	18

Highest weight: [ 2, 0, 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, 0 ]	1	256
71	[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]	1	4608
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	3	4032
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	10	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	35	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 11
Dimension: 25176

Level	dominant weight	weight multiplicity	length of W-orbit
81	[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]	1	18
79	[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]	1	288
77	[ 0, 0, 0, 0, 0, 0, 0, 2, 1 ]	1	288
75	[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]	1	2016
73	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	1	2016
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	1	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	4032
49	[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	8	18
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	8	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	8	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	35	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 25176

Level	dominant weight	weight multiplicity	length of W-orbit
79	[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]	1	288
77	[ 0, 0, 0, 0, 0, 0, 0, 2, 1 ]	1	288
75	[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]	1	2016
73	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	1	2016
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	1	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	4032
49	[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	8	18
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	8	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	8	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	36	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5,11
Dimension: 25194

Level	dominant weight	weight multiplicity	length of W-orbit
81	[ 0, 0, 0, 0, 0, 0, 0, 0, 5 ]	1	18
79	[ 0, 0, 0, 0, 0, 0, 0, 1, 3 ]	1	288
77	[ 0, 0, 0, 0, 0, 0, 0, 2, 1 ]	1	288
75	[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]	1	2016
73	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	1	2016
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	1	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	4032
49	[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	8	18
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	8	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	8	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	36	18

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 30208

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]	1	9216
53	[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]	6	2304
37	[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	28	256

Highest weight: [ 1, 0, 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, 0, 1, 0 ]	1	9216
53	[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]	6	2304
37	[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	28	256

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 31824

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ]	1	4608
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	4	4032
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	15	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	56	18

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 17
Dimension: 34304

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]	1	9216
53	[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]	7	2304
37	[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	35	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 17
Dimension: 34304

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	9216
53	[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]	7	2304
37	[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	35	256

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2,17
Dimension: 34560

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]	1	9216
53	[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]	7	2304
37	[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	36	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2,17
Dimension: 34560

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	9216
53	[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]	7	2304
37	[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	36	256

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 5
Dimension: 34816

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]	1	2304
67	[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]	1	9216
53	[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]	7	2304
37	[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	28	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 5
Dimension: 34816

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]	1	2304
67	[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	9216
53	[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]	7	2304
37	[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	28	256

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 36312

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	1	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	3	4032
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	7	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	19	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	76	18

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,5
Dimension: 39168

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 1, 0, 0, 0, 0, 0, 0, 2 ]	1	2304
67	[ 0, 1, 0, 0, 0, 0, 0, 1, 0 ]	1	9216
53	[ 1, 0, 0, 0, 0, 0, 0, 0, 1 ]	8	2304
37	[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	36	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,5
Dimension: 39168

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 1, 0, 0, 0, 0, 0, 0, 0, 2 ]	1	2304
67	[ 1, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	9216
53	[ 0, 1, 0, 0, 0, 0, 0, 0, 1 ]	8	2304
37	[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	36	256

Highest weight: [ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 43758

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 1, 1, 0, 0, 0, 0, 0, 0, 0 ]	1	2304
67	[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	3	5376
53	[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	10	2016
31	[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	35	144
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	126	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 2
Dimension: 43776

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	1	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	4	4032
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	6	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	24	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	96	18

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 3
Dimension: 44880

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	1	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	4	4032
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	7	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	25	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	104	18

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 45696

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	1	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	4	4032
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	7	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	26	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	112	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]
Characteristic: 5
Dimension: 53160

Level	dominant weight	weight multiplicity	length of W-orbit
75	[ 0, 0, 0, 0, 0, 0, 1, 0, 2 ]	1	2016
73	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	1	2016
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	2	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	3	4032
49	[ 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	8	18
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	15	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	22	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	92	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 59244

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	1	2016
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	2	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	4	4032
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	14	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	28	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	118	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 5
Dimension: 65910

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	1	2016
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	2	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	5	4032
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	13	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	32	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	131	18

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: not 2,3,5
Dimension: 67830

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	1	2016
69	[ 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	2	8064
61	[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	5	4032
47	[ 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	14	288
43	[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	34	672
17	[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	147	18