Weight Multiplicities

Groups of type D4, all 3-restricted weight in characteristic 3

Diagram:

Overview

Dimension	Highest weight	Characteristic
1	[ 0, 0, 0, 0 ]	3
8	[ 0, 0, 0, 1 ]	3
28	[ 0, 0, 1, 0 ]	3
35	[ 0, 0, 0, 2 ]	3
56	[ 0, 1, 0, 1 ]	3
104	[ 0, 0, 1, 1 ]	3
224	[ 0, 1, 0, 2 ]	3
195	[ 0, 0, 2, 0 ]	3
322	[ 1, 1, 0, 1 ]	3
567	[ 0, 0, 1, 2 ]	3
384	[ 0, 1, 1, 1 ]	3
518	[ 0, 2, 0, 2 ]	3
1296	[ 1, 1, 0, 2 ]	3
1176	[ 0, 0, 2, 1 ]	3
1896	[ 0, 1, 1, 2 ]	3
1841	[ 1, 1, 1, 1 ]	3
3948	[ 0, 0, 2, 2 ]	3
3240	[ 1, 2, 0, 2 ]	3
4768	[ 0, 1, 2, 1 ]	3
8343	[ 0, 2, 1, 2 ]	3
7600	[ 1, 1, 1, 2 ]	3
8132	[ 2, 2, 0, 2 ]	3
18144	[ 0, 1, 2, 2 ]	3
13776	[ 1, 1, 2, 1 ]	3
24240	[ 1, 2, 1, 2 ]	3
43254	[ 0, 2, 2, 2 ]	3
58920	[ 1, 1, 2, 2 ]	3
96753	[ 2, 2, 1, 2 ]	3
196344	[ 1, 2, 2, 2 ]	3
531441	[ 2, 2, 2, 2 ]	3

The characters

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

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

Highest weight: [ 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 8

Level	dominant weight	weight multiplicity	length of W-orbit
7	[ 0, 0, 0, 1 ]	1	8

Highest weight: [ 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 28

Level	dominant weight	weight multiplicity	length of W-orbit
11	[ 0, 0, 1, 0 ]	1	24
1	[ 0, 0, 0, 0 ]	4	1

Highest weight: [ 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 35

Level	dominant weight	weight multiplicity	length of W-orbit
13	[ 0, 0, 0, 2 ]	1	8
11	[ 0, 0, 1, 0 ]	1	24
1	[ 0, 0, 0, 0 ]	3	1

Highest weight: [ 0, 1, 0, 1 ]
Characteristic: 3
Dimension: 56

Level	dominant weight	weight multiplicity	length of W-orbit
13	[ 0, 1, 0, 1 ]	1	32
7	[ 1, 0, 0, 0 ]	3	8

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

Level	dominant weight	weight multiplicity	length of W-orbit
17	[ 0, 0, 1, 1 ]	1	48
13	[ 1, 1, 0, 0 ]	1	32
7	[ 0, 0, 0, 1 ]	3	8

Highest weight: [ 0, 1, 0, 2 ]
Characteristic: 3
Dimension: 224

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 0, 1, 0, 2 ]	1	32
17	[ 0, 1, 1, 0 ]	1	48
13	[ 1, 0, 0, 1 ]	3	32
7	[ 0, 1, 0, 0 ]	6	8

Highest weight: [ 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 195

Level	dominant weight	weight multiplicity	length of W-orbit
21	[ 0, 0, 2, 0 ]	1	24
19	[ 1, 1, 0, 1 ]	1	96
13	[ 2, 0, 0, 0 ]	1	8
13	[ 0, 2, 0, 0 ]	1	8
13	[ 0, 0, 0, 2 ]	1	8
11	[ 0, 0, 1, 0 ]	2	24
1	[ 0, 0, 0, 0 ]	3	1

Highest weight: [ 1, 1, 0, 1 ]
Characteristic: 3
Dimension: 322

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 1, 1, 0, 1 ]	1	96
13	[ 2, 0, 0, 0 ]	3	8
13	[ 0, 2, 0, 0 ]	3	8
13	[ 0, 0, 0, 2 ]	3	8
11	[ 0, 0, 1, 0 ]	6	24
1	[ 0, 0, 0, 0 ]	10	1

Highest weight: [ 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 567

Level	dominant weight	weight multiplicity	length of W-orbit
23	[ 0, 0, 1, 2 ]	1	48
21	[ 0, 0, 2, 0 ]	1	24
19	[ 1, 1, 0, 1 ]	2	96
13	[ 2, 0, 0, 0 ]	3	8
13	[ 0, 2, 0, 0 ]	3	8
13	[ 0, 0, 0, 2 ]	6	8
11	[ 0, 0, 1, 0 ]	8	24
1	[ 0, 0, 0, 0 ]	15	1

Highest weight: [ 0, 1, 1, 1 ]
Characteristic: 3
Dimension: 384

Level	dominant weight	weight multiplicity	length of W-orbit
23	[ 0, 1, 1, 1 ]	1	96
19	[ 1, 2, 0, 0 ]	1	32
19	[ 1, 0, 0, 2 ]	1	32
17	[ 1, 0, 1, 0 ]	2	48
13	[ 0, 1, 0, 1 ]	3	32
7	[ 1, 0, 0, 0 ]	4	8

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

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 0, 2, 0, 2 ]	1	32
23	[ 0, 2, 1, 0 ]	1	48
23	[ 0, 0, 1, 2 ]	1	48
21	[ 0, 0, 2, 0 ]	1	24
19	[ 1, 1, 0, 1 ]	2	96
13	[ 2, 0, 0, 0 ]	3	8
13	[ 0, 2, 0, 0 ]	3	8
13	[ 0, 0, 0, 2 ]	3	8
11	[ 0, 0, 1, 0 ]	4	24
1	[ 0, 0, 0, 0 ]	6	1

Highest weight: [ 1, 1, 0, 2 ]
Characteristic: 3
Dimension: 1296

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 1, 1, 0, 2 ]	1	96
23	[ 1, 1, 1, 0 ]	1	96
19	[ 2, 0, 0, 1 ]	3	32
19	[ 0, 2, 0, 1 ]	3	32
19	[ 0, 0, 0, 3 ]	3	8
17	[ 0, 0, 1, 1 ]	7	48
13	[ 1, 1, 0, 0 ]	12	32
7	[ 0, 0, 0, 1 ]	21	8

Highest weight: [ 0, 0, 2, 1 ]
Characteristic: 3
Dimension: 1176

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 0, 0, 2, 1 ]	1	48
25	[ 1, 1, 0, 2 ]	1	96
23	[ 1, 1, 1, 0 ]	2	96
19	[ 2, 0, 0, 1 ]	3	32
19	[ 0, 2, 0, 1 ]	3	32
19	[ 0, 0, 0, 3 ]	1	8
17	[ 0, 0, 1, 1 ]	6	48
13	[ 1, 1, 0, 0 ]	8	32
7	[ 0, 0, 0, 1 ]	12	8

Highest weight: [ 0, 1, 1, 2 ]
Characteristic: 3
Dimension: 1896

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 0, 1, 1, 2 ]	1	96
27	[ 0, 1, 2, 0 ]	1	48
25	[ 1, 2, 0, 1 ]	2	96
25	[ 1, 0, 0, 3 ]	1	32
23	[ 1, 0, 1, 1 ]	3	96
19	[ 2, 1, 0, 0 ]	4	32
19	[ 0, 3, 0, 0 ]	3	8
19	[ 0, 1, 0, 2 ]	6	32
17	[ 0, 1, 1, 0 ]	8	48
13	[ 1, 0, 0, 1 ]	12	32
7	[ 0, 1, 0, 0 ]	16	8

Highest weight: [ 1, 1, 1, 1 ]
Characteristic: 3
Dimension: 1841

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 1, 1, 1 ]	1	192
25	[ 2, 2, 0, 0 ]	1	32
25	[ 2, 0, 0, 2 ]	1	32
25	[ 0, 2, 0, 2 ]	1	32
23	[ 2, 0, 1, 0 ]	2	48
23	[ 0, 2, 1, 0 ]	2	48
23	[ 0, 0, 1, 2 ]	2	48
21	[ 0, 0, 2, 0 ]	5	24
19	[ 1, 1, 0, 1 ]	6	96
13	[ 2, 0, 0, 0 ]	9	8
13	[ 0, 2, 0, 0 ]	9	8
13	[ 0, 0, 0, 2 ]	9	8
11	[ 0, 0, 1, 0 ]	14	24
1	[ 0, 0, 0, 0 ]	17	1

Highest weight: [ 0, 0, 2, 2 ]
Characteristic: 3
Dimension: 3948

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 0, 2, 2 ]	1	48
31	[ 1, 1, 0, 3 ]	1	96
31	[ 0, 0, 3, 0 ]	1	24
29	[ 1, 1, 1, 1 ]	2	192
25	[ 2, 2, 0, 0 ]	3	32
25	[ 2, 0, 0, 2 ]	3	32
25	[ 0, 2, 0, 2 ]	3	32
25	[ 0, 0, 0, 4 ]	1	8
23	[ 2, 0, 1, 0 ]	4	48
23	[ 0, 2, 1, 0 ]	4	48
23	[ 0, 0, 1, 2 ]	6	48
21	[ 0, 0, 2, 0 ]	8	24
19	[ 1, 1, 0, 1 ]	12	96
13	[ 2, 0, 0, 0 ]	16	8
13	[ 0, 2, 0, 0 ]	16	8
13	[ 0, 0, 0, 2 ]	21	8
11	[ 0, 0, 1, 0 ]	26	24
1	[ 0, 0, 0, 0 ]	36	1

Highest weight: [ 1, 2, 0, 2 ]
Characteristic: 3
Dimension: 3240

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 1, 2, 0, 2 ]	1	96
29	[ 1, 2, 1, 0 ]	1	96
29	[ 1, 0, 1, 2 ]	1	96
27	[ 1, 0, 2, 0 ]	1	48
25	[ 2, 1, 0, 1 ]	2	96
25	[ 0, 3, 0, 1 ]	3	32
25	[ 0, 1, 0, 3 ]	3	32
23	[ 0, 1, 1, 1 ]	6	96
19	[ 3, 0, 0, 0 ]	3	8
19	[ 1, 2, 0, 0 ]	9	32
19	[ 1, 0, 0, 2 ]	9	32
17	[ 1, 0, 1, 0 ]	12	48
13	[ 0, 1, 0, 1 ]	18	32
7	[ 1, 0, 0, 0 ]	24	8

Highest weight: [ 0, 1, 2, 1 ]
Characteristic: 3
Dimension: 4768

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 1, 2, 1 ]	1	96
31	[ 1, 2, 0, 2 ]	1	96
29	[ 1, 2, 1, 0 ]	2	96
29	[ 1, 0, 1, 2 ]	2	96
27	[ 1, 0, 2, 0 ]	3	48
25	[ 2, 1, 0, 1 ]	4	96
25	[ 0, 3, 0, 1 ]	3	32
25	[ 0, 1, 0, 3 ]	3	32
23	[ 0, 1, 1, 1 ]	8	96
19	[ 3, 0, 0, 0 ]	6	8
19	[ 1, 2, 0, 0 ]	12	32
19	[ 1, 0, 0, 2 ]	12	32
17	[ 1, 0, 1, 0 ]	16	48
13	[ 0, 1, 0, 1 ]	26	32
7	[ 1, 0, 0, 0 ]	36	8

Highest weight: [ 0, 2, 1, 2 ]
Characteristic: 3
Dimension: 8343

Level	dominant weight	weight multiplicity	length of W-orbit
35	[ 0, 2, 1, 2 ]	1	96
33	[ 0, 2, 2, 0 ]	1	48
33	[ 0, 0, 2, 2 ]	1	48
31	[ 1, 3, 0, 1 ]	2	96
31	[ 1, 1, 0, 3 ]	2	96
31	[ 0, 0, 3, 0 ]	1	24
29	[ 1, 1, 1, 1 ]	4	192
25	[ 2, 2, 0, 0 ]	6	32
25	[ 2, 0, 0, 2 ]	6	32
25	[ 0, 4, 0, 0 ]	3	8
25	[ 0, 2, 0, 2 ]	9	32
25	[ 0, 0, 0, 4 ]	3	8
23	[ 2, 0, 1, 0 ]	8	48
23	[ 0, 2, 1, 0 ]	12	48
23	[ 0, 0, 1, 2 ]	12	48
21	[ 0, 0, 2, 0 ]	15	24
19	[ 1, 1, 0, 1 ]	24	96
13	[ 2, 0, 0, 0 ]	33	8
13	[ 0, 2, 0, 0 ]	36	8
13	[ 0, 0, 0, 2 ]	36	8
11	[ 0, 0, 1, 0 ]	48	24
1	[ 0, 0, 0, 0 ]	63	1

Highest weight: [ 1, 1, 1, 2 ]
Characteristic: 3
Dimension: 7600

Level	dominant weight	weight multiplicity	length of W-orbit
35	[ 1, 1, 1, 2 ]	1	192
33	[ 1, 1, 2, 0 ]	1	96
31	[ 2, 2, 0, 1 ]	2	96
31	[ 2, 0, 0, 3 ]	1	32
31	[ 0, 2, 0, 3 ]	1	32
29	[ 2, 0, 1, 1 ]	3	96
29	[ 0, 2, 1, 1 ]	3	96
29	[ 0, 0, 1, 3 ]	2	48
27	[ 0, 0, 2, 1 ]	6	48
25	[ 3, 1, 0, 0 ]	4	32
25	[ 1, 3, 0, 0 ]	4	32
25	[ 1, 1, 0, 2 ]	8	96
23	[ 1, 1, 1, 0 ]	12	96
19	[ 2, 0, 0, 1 ]	16	32
19	[ 0, 2, 0, 1 ]	16	32
19	[ 0, 0, 0, 3 ]	12	8
17	[ 0, 0, 1, 1 ]	26	48
13	[ 1, 1, 0, 0 ]	36	32
7	[ 0, 0, 0, 1 ]	50	8

Highest weight: [ 2, 2, 0, 2 ]
Characteristic: 3
Dimension: 8132

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 2, 2, 0, 2 ]	1	96
35	[ 2, 2, 1, 0 ]	1	96
35	[ 2, 0, 1, 2 ]	1	96
35	[ 0, 2, 1, 2 ]	1	96
33	[ 2, 0, 2, 0 ]	1	48
33	[ 0, 2, 2, 0 ]	1	48
33	[ 0, 0, 2, 2 ]	1	48
31	[ 3, 1, 0, 1 ]	2	96
31	[ 1, 3, 0, 1 ]	2	96
31	[ 1, 1, 0, 3 ]	2	96
31	[ 0, 0, 3, 0 ]	1	24
29	[ 1, 1, 1, 1 ]	5	192
25	[ 4, 0, 0, 0 ]	3	8
25	[ 2, 2, 0, 0 ]	7	32
25	[ 2, 0, 0, 2 ]	7	32
25	[ 0, 4, 0, 0 ]	3	8
25	[ 0, 2, 0, 2 ]	7	32
25	[ 0, 0, 0, 4 ]	3	8
23	[ 2, 0, 1, 0 ]	10	48
23	[ 0, 2, 1, 0 ]	10	48
23	[ 0, 0, 1, 2 ]	10	48
21	[ 0, 0, 2, 0 ]	16	24
19	[ 1, 1, 0, 1 ]	20	96
13	[ 2, 0, 0, 0 ]	27	8
13	[ 0, 2, 0, 0 ]	27	8
13	[ 0, 0, 0, 2 ]	27	8
11	[ 0, 0, 1, 0 ]	36	24
1	[ 0, 0, 0, 0 ]	44	1

Highest weight: [ 0, 1, 2, 2 ]
Characteristic: 3
Dimension: 18144

Level	dominant weight	weight multiplicity	length of W-orbit
39	[ 0, 1, 2, 2 ]	1	96
37	[ 1, 2, 0, 3 ]	1	96
37	[ 0, 1, 3, 0 ]	1	48
35	[ 1, 2, 1, 1 ]	2	192
35	[ 1, 0, 1, 3 ]	2	96
33	[ 1, 0, 2, 1 ]	4	96
31	[ 2, 3, 0, 0 ]	3	32
31	[ 2, 1, 0, 2 ]	5	96
31	[ 0, 3, 0, 2 ]	3	32
31	[ 0, 1, 0, 4 ]	3	32
29	[ 2, 1, 1, 0 ]	7	96
29	[ 0, 3, 1, 0 ]	4	48
29	[ 0, 1, 1, 2 ]	10	96
27	[ 0, 1, 2, 0 ]	13	48
25	[ 3, 0, 0, 1 ]	9	32
25	[ 1, 2, 0, 1 ]	18	96
25	[ 1, 0, 0, 3 ]	15	32
23	[ 1, 0, 1, 1 ]	27	96
19	[ 2, 1, 0, 0 ]	36	32
19	[ 0, 3, 0, 0 ]	24	8
19	[ 0, 1, 0, 2 ]	42	32
17	[ 0, 1, 1, 0 ]	54	48
13	[ 1, 0, 0, 1 ]	78	32
7	[ 0, 1, 0, 0 ]	108	8

Highest weight: [ 1, 1, 2, 1 ]
Characteristic: 3
Dimension: 13776

Level	dominant weight	weight multiplicity	length of W-orbit
39	[ 1, 1, 2, 1 ]	1	192
37	[ 2, 2, 0, 2 ]	1	96
35	[ 2, 2, 1, 0 ]	2	96
35	[ 2, 0, 1, 2 ]	2	96
35	[ 0, 2, 1, 2 ]	2	96
33	[ 2, 0, 2, 0 ]	3	48
33	[ 0, 2, 2, 0 ]	3	48
33	[ 0, 0, 2, 2 ]	3	48
31	[ 3, 1, 0, 1 ]	4	96
31	[ 1, 3, 0, 1 ]	4	96
31	[ 1, 1, 0, 3 ]	4	96
31	[ 0, 0, 3, 0 ]	5	24
29	[ 1, 1, 1, 1 ]	9	192
25	[ 4, 0, 0, 0 ]	6	8
25	[ 2, 2, 0, 0 ]	12	32
25	[ 2, 0, 0, 2 ]	12	32
25	[ 0, 4, 0, 0 ]	6	8
25	[ 0, 2, 0, 2 ]	12	32
25	[ 0, 0, 0, 4 ]	6	8
23	[ 2, 0, 1, 0 ]	17	48
23	[ 0, 2, 1, 0 ]	17	48
23	[ 0, 0, 1, 2 ]	17	48
21	[ 0, 0, 2, 0 ]	23	24
19	[ 1, 1, 0, 1 ]	30	96
13	[ 2, 0, 0, 0 ]	40	8
13	[ 0, 2, 0, 0 ]	40	8
13	[ 0, 0, 0, 2 ]	40	8
11	[ 0, 0, 1, 0 ]	53	24
1	[ 0, 0, 0, 0 ]	72	1

Highest weight: [ 1, 2, 1, 2 ]
Characteristic: 3
Dimension: 24240

Level	dominant weight	weight multiplicity	length of W-orbit
41	[ 1, 2, 1, 2 ]	1	192
39	[ 1, 2, 2, 0 ]	1	96
39	[ 1, 0, 2, 2 ]	1	96
37	[ 2, 3, 0, 1 ]	2	96
37	[ 2, 1, 0, 3 ]	2	96
37	[ 1, 0, 3, 0 ]	1	48
37	[ 0, 3, 0, 3 ]	1	32
35	[ 2, 1, 1, 1 ]	4	192
35	[ 0, 3, 1, 1 ]	3	96
35	[ 0, 1, 1, 3 ]	3	96
33	[ 0, 1, 2, 1 ]	6	96
31	[ 3, 2, 0, 0 ]	6	32
31	[ 3, 0, 0, 2 ]	6	32
31	[ 1, 4, 0, 0 ]	4	32
31	[ 1, 2, 0, 2 ]	10	96
31	[ 1, 0, 0, 4 ]	4	32
29	[ 3, 0, 1, 0 ]	8	48
29	[ 1, 2, 1, 0 ]	13	96
29	[ 1, 0, 1, 2 ]	13	96
27	[ 1, 0, 2, 0 ]	18	48
25	[ 2, 1, 0, 1 ]	25	96
25	[ 0, 3, 0, 1 ]	18	32
25	[ 0, 1, 0, 3 ]	18	32
23	[ 0, 1, 1, 1 ]	34	96
19	[ 3, 0, 0, 0 ]	31	8
19	[ 1, 2, 0, 0 ]	45	32
19	[ 1, 0, 0, 2 ]	45	32
17	[ 1, 0, 1, 0 ]	61	48
13	[ 0, 1, 0, 1 ]	77	32
7	[ 1, 0, 0, 0 ]	99	8

Highest weight: [ 0, 2, 2, 2 ]
Characteristic: 3
Dimension: 43254

Level	dominant weight	weight multiplicity	length of W-orbit
45	[ 0, 2, 2, 2 ]	1	96
43	[ 1, 3, 0, 3 ]	1	96
43	[ 0, 2, 3, 0 ]	1	48
43	[ 0, 0, 3, 2 ]	1	48
41	[ 1, 3, 1, 1 ]	2	192
41	[ 1, 1, 1, 3 ]	2	192
41	[ 0, 0, 4, 0 ]	1	24
39	[ 1, 1, 2, 1 ]	4	192
37	[ 2, 4, 0, 0 ]	3	32
37	[ 2, 2, 0, 2 ]	5	96
37	[ 2, 0, 0, 4 ]	3	32
37	[ 0, 4, 0, 2 ]	3	32
37	[ 0, 2, 0, 4 ]	3	32
35	[ 2, 2, 1, 0 ]	7	96
35	[ 2, 0, 1, 2 ]	7	96
35	[ 0, 4, 1, 0 ]	4	48
35	[ 0, 2, 1, 2 ]	9	96
35	[ 0, 0, 1, 4 ]	4	48
33	[ 2, 0, 2, 0 ]	10	48
33	[ 0, 2, 2, 0 ]	12	48
33	[ 0, 0, 2, 2 ]	12	48
31	[ 3, 1, 0, 1 ]	12	96
31	[ 1, 3, 0, 1 ]	16	96
31	[ 1, 1, 0, 3 ]	16	96
31	[ 0, 0, 3, 0 ]	16	24
29	[ 1, 1, 1, 1 ]	28	192
25	[ 4, 0, 0, 0 ]	15	8
25	[ 2, 2, 0, 0 ]	36	32
25	[ 2, 0, 0, 2 ]	36	32
25	[ 0, 4, 0, 0 ]	21	8
25	[ 0, 2, 0, 2 ]	39	32
25	[ 0, 0, 0, 4 ]	21	8
23	[ 2, 0, 1, 0 ]	47	48
23	[ 0, 2, 1, 0 ]	49	48
23	[ 0, 0, 1, 2 ]	49	48
21	[ 0, 0, 2, 0 ]	63	24
19	[ 1, 1, 0, 1 ]	82	96
13	[ 2, 0, 0, 0 ]	108	8
13	[ 0, 2, 0, 0 ]	105	8
13	[ 0, 0, 0, 2 ]	105	8
11	[ 0, 0, 1, 0 ]	136	24
1	[ 0, 0, 0, 0 ]	174	1

Highest weight: [ 1, 1, 2, 2 ]
Characteristic: 3
Dimension: 58920

Level	dominant weight	weight multiplicity	length of W-orbit
45	[ 1, 1, 2, 2 ]	1	192
43	[ 2, 2, 0, 3 ]	1	96
43	[ 1, 1, 3, 0 ]	1	96
41	[ 2, 2, 1, 1 ]	2	192
41	[ 2, 0, 1, 3 ]	2	96
41	[ 0, 2, 1, 3 ]	2	96
39	[ 2, 0, 2, 1 ]	4	96
39	[ 0, 2, 2, 1 ]	4	96
39	[ 0, 0, 2, 3 ]	3	48
37	[ 3, 3, 0, 0 ]	3	32
37	[ 3, 1, 0, 2 ]	5	96
37	[ 1, 3, 0, 2 ]	5	96
37	[ 1, 1, 0, 4 ]	4	96
37	[ 0, 0, 3, 1 ]	7	48
35	[ 3, 1, 1, 0 ]	7	96
35	[ 1, 3, 1, 0 ]	7	96
35	[ 1, 1, 1, 2 ]	13	192
33	[ 1, 1, 2, 0 ]	18	96
31	[ 4, 0, 0, 1 ]	9	32
31	[ 2, 2, 0, 1 ]	23	96
31	[ 2, 0, 0, 3 ]	18	32
31	[ 0, 4, 0, 1 ]	9	32
31	[ 0, 2, 0, 3 ]	18	32
31	[ 0, 0, 0, 5 ]	6	8
29	[ 2, 0, 1, 1 ]	32	96
29	[ 0, 2, 1, 1 ]	32	96
29	[ 0, 0, 1, 3 ]	25	48
27	[ 0, 0, 2, 1 ]	45	48
25	[ 3, 1, 0, 0 ]	42	32
25	[ 1, 3, 0, 0 ]	42	32
25	[ 1, 1, 0, 2 ]	59	96
23	[ 1, 1, 1, 0 ]	76	96
19	[ 2, 0, 0, 1 ]	100	32
19	[ 0, 2, 0, 1 ]	100	32
19	[ 0, 0, 0, 3 ]	78	8
17	[ 0, 0, 1, 1 ]	130	48
13	[ 1, 1, 0, 0 ]	168	32
7	[ 0, 0, 0, 1 ]	217	8

Highest weight: [ 2, 2, 1, 2 ]
Characteristic: 3
Dimension: 96753

Level	dominant weight	weight multiplicity	length of W-orbit
47	[ 2, 2, 1, 2 ]	1	192
45	[ 2, 2, 2, 0 ]	1	96
45	[ 2, 0, 2, 2 ]	1	96
45	[ 0, 2, 2, 2 ]	1	96
43	[ 3, 3, 0, 1 ]	2	96
43	[ 3, 1, 0, 3 ]	2	96
43	[ 2, 0, 3, 0 ]	1	48
43	[ 1, 3, 0, 3 ]	2	96
43	[ 0, 2, 3, 0 ]	1	48
43	[ 0, 0, 3, 2 ]	1	48
41	[ 3, 1, 1, 1 ]	4	192
41	[ 1, 3, 1, 1 ]	4	192
41	[ 1, 1, 1, 3 ]	4	192
41	[ 0, 0, 4, 0 ]	1	24
39	[ 1, 1, 2, 1 ]	8	192
37	[ 4, 2, 0, 0 ]	6	32
37	[ 4, 0, 0, 2 ]	6	32
37	[ 2, 4, 0, 0 ]	6	32
37	[ 2, 2, 0, 2 ]	13	96
37	[ 2, 0, 0, 4 ]	6	32
37	[ 0, 4, 0, 2 ]	6	32
37	[ 0, 2, 0, 4 ]	6	32
35	[ 4, 0, 1, 0 ]	8	48
35	[ 2, 2, 1, 0 ]	18	96
35	[ 2, 0, 1, 2 ]	18	96
35	[ 0, 4, 1, 0 ]	8	48
35	[ 0, 2, 1, 2 ]	18	96
35	[ 0, 0, 1, 4 ]	8	48
33	[ 2, 0, 2, 0 ]	24	48
33	[ 0, 2, 2, 0 ]	24	48
33	[ 0, 0, 2, 2 ]	24	48
31	[ 3, 1, 0, 1 ]	34	96
31	[ 1, 3, 0, 1 ]	34	96
31	[ 1, 1, 0, 3 ]	34	96
31	[ 0, 0, 3, 0 ]	33	24
29	[ 1, 1, 1, 1 ]	61	192
25	[ 4, 0, 0, 0 ]	45	8
25	[ 2, 2, 0, 0 ]	82	32
25	[ 2, 0, 0, 2 ]	82	32
25	[ 0, 4, 0, 0 ]	45	8
25	[ 0, 2, 0, 2 ]	82	32
25	[ 0, 0, 0, 4 ]	45	8
23	[ 2, 0, 1, 0 ]	107	48
23	[ 0, 2, 1, 0 ]	107	48
23	[ 0, 0, 1, 2 ]	107	48
21	[ 0, 0, 2, 0 ]	137	24
19	[ 1, 1, 0, 1 ]	178	96
13	[ 2, 0, 0, 0 ]	225	8
13	[ 0, 2, 0, 0 ]	225	8
13	[ 0, 0, 0, 2 ]	225	8
11	[ 0, 0, 1, 0 ]	280	24
1	[ 0, 0, 0, 0 ]	345	1

Highest weight: [ 1, 2, 2, 2 ]
Characteristic: 3
Dimension: 196344

Level	dominant weight	weight multiplicity	length of W-orbit
51	[ 1, 2, 2, 2 ]	1	192
49	[ 2, 3, 0, 3 ]	1	96
49	[ 1, 2, 3, 0 ]	1	96
49	[ 1, 0, 3, 2 ]	1	96
47	[ 2, 3, 1, 1 ]	2	192
47	[ 2, 1, 1, 3 ]	2	192
47	[ 1, 0, 4, 0 ]	1	48
47	[ 0, 3, 1, 3 ]	2	96
45	[ 2, 1, 2, 1 ]	4	192
45	[ 0, 3, 2, 1 ]	4	96
45	[ 0, 1, 2, 3 ]	4	96
43	[ 3, 4, 0, 0 ]	3	32
43	[ 3, 2, 0, 2 ]	5	96
43	[ 3, 0, 0, 4 ]	3	32
43	[ 1, 4, 0, 2 ]	5	96
43	[ 1, 2, 0, 4 ]	5	96
43	[ 0, 1, 3, 1 ]	8	96
41	[ 3, 2, 1, 0 ]	7	96
41	[ 3, 0, 1, 2 ]	7	96
41	[ 1, 4, 1, 0 ]	7	96
41	[ 1, 2, 1, 2 ]	15	192
41	[ 1, 0, 1, 4 ]	7	96
39	[ 3, 0, 2, 0 ]	10	48
39	[ 1, 2, 2, 0 ]	20	96
39	[ 1, 0, 2, 2 ]	20	96
37	[ 4, 1, 0, 1 ]	12	96
37	[ 2, 3, 0, 1 ]	26	96
37	[ 2, 1, 0, 3 ]	26	96
37	[ 1, 0, 3, 0 ]	27	48
37	[ 0, 5, 0, 1 ]	9	32
37	[ 0, 3, 0, 3 ]	21	32
37	[ 0, 1, 0, 5 ]	9	32
35	[ 2, 1, 1, 1 ]	45	192
35	[ 0, 3, 1, 1 ]	37	96
35	[ 0, 1, 1, 3 ]	37	96
33	[ 0, 1, 2, 1 ]	65	96
31	[ 5, 0, 0, 0 ]	15	8
31	[ 3, 2, 0, 0 ]	57	32
31	[ 3, 0, 0, 2 ]	57	32
31	[ 1, 4, 0, 0 ]	48	32
31	[ 1, 2, 0, 2 ]	85	96
31	[ 1, 0, 0, 4 ]	48	32
29	[ 3, 0, 1, 0 ]	73	48
29	[ 1, 2, 1, 0 ]	108	96
29	[ 1, 0, 1, 2 ]	108	96
27	[ 1, 0, 2, 0 ]	138	48
25	[ 2, 1, 0, 1 ]	175	96
25	[ 0, 3, 0, 1 ]	141	32
25	[ 0, 1, 0, 3 ]	141	32
23	[ 0, 1, 1, 1 ]	228	96
19	[ 3, 0, 0, 0 ]	222	8
19	[ 1, 2, 0, 0 ]	288	32
19	[ 1, 0, 0, 2 ]	288	32
17	[ 1, 0, 1, 0 ]	363	48
13	[ 0, 1, 0, 1 ]	456	32
7	[ 1, 0, 0, 0 ]	570	8

Highest weight: [ 2, 2, 2, 2 ]
Characteristic: 3
Dimension: 531441

Level	dominant weight	weight multiplicity	length of W-orbit
57	[ 2, 2, 2, 2 ]	1	192
55	[ 3, 3, 0, 3 ]	1	96
55	[ 2, 2, 3, 0 ]	1	96
55	[ 2, 0, 3, 2 ]	1	96
55	[ 0, 2, 3, 2 ]	1	96
53	[ 2, 0, 4, 0 ]	1	48
53	[ 0, 2, 4, 0 ]	1	48
53	[ 0, 0, 4, 2 ]	1	48
53	[ 3, 3, 1, 1 ]	2	192
53	[ 3, 1, 1, 3 ]	2	192
53	[ 1, 3, 1, 3 ]	2	192
51	[ 0, 0, 5, 0 ]	1	24
51	[ 3, 1, 2, 1 ]	4	192
51	[ 1, 3, 2, 1 ]	4	192
51	[ 1, 1, 2, 3 ]	4	192
49	[ 4, 4, 0, 0 ]	3	32
49	[ 4, 2, 0, 2 ]	5	96
49	[ 4, 0, 0, 4 ]	3	32
49	[ 2, 4, 0, 2 ]	5	96
49	[ 2, 2, 0, 4 ]	5	96
49	[ 0, 4, 0, 4 ]	3	32
49	[ 1, 1, 3, 1 ]	8	192
47	[ 4, 2, 1, 0 ]	7	96
47	[ 4, 0, 1, 2 ]	7	96
47	[ 2, 4, 1, 0 ]	7	96
47	[ 2, 0, 1, 4 ]	7	96
47	[ 0, 4, 1, 2 ]	7	96
47	[ 0, 2, 1, 4 ]	7	96
47	[ 2, 2, 1, 2 ]	15	192
45	[ 4, 0, 2, 0 ]	10	48
45	[ 2, 2, 2, 0 ]	20	96
45	[ 2, 0, 2, 2 ]	20	96
45	[ 0, 4, 2, 0 ]	10	48
45	[ 0, 2, 2, 2 ]	20	96
45	[ 0, 0, 2, 4 ]	10	48
43	[ 5, 1, 0, 1 ]	12	96
43	[ 1, 5, 0, 1 ]	12	96
43	[ 1, 1, 0, 5 ]	12	96
43	[ 3, 3, 0, 1 ]	26	96
43	[ 3, 1, 0, 3 ]	26	96
43	[ 2, 0, 3, 0 ]	27	48
43	[ 1, 3, 0, 3 ]	26	96
43	[ 0, 2, 3, 0 ]	27	48
43	[ 0, 0, 3, 2 ]	27	48
41	[ 3, 1, 1, 1 ]	45	192
41	[ 1, 3, 1, 1 ]	45	192
41	[ 1, 1, 1, 3 ]	45	192
41	[ 0, 0, 4, 0 ]	37	24
39	[ 1, 1, 2, 1 ]	78	192
37	[ 6, 0, 0, 0 ]	15	8
37	[ 0, 6, 0, 0 ]	15	8
37	[ 0, 0, 0, 6 ]	15	8
37	[ 4, 2, 0, 0 ]	57	32
37	[ 4, 0, 0, 2 ]	57	32
37	[ 2, 4, 0, 0 ]	57	32
37	[ 2, 0, 0, 4 ]	57	32
37	[ 0, 4, 0, 2 ]	57	32
37	[ 0, 2, 0, 4 ]	57	32
37	[ 2, 2, 0, 2 ]	100	96
35	[ 4, 0, 1, 0 ]	73	48
35	[ 2, 2, 1, 0 ]	125	96
35	[ 2, 0, 1, 2 ]	125	96
35	[ 0, 4, 1, 0 ]	73	48
35	[ 0, 2, 1, 2 ]	125	96
35	[ 0, 0, 1, 4 ]	73	48
33	[ 2, 0, 2, 0 ]	158	48
33	[ 0, 2, 2, 0 ]	158	48
33	[ 0, 0, 2, 2 ]	158	48
31	[ 3, 1, 0, 1 ]	198	96
31	[ 1, 3, 0, 1 ]	198	96
31	[ 1, 1, 0, 3 ]	198	96
31	[ 0, 0, 3, 0 ]	201	24
29	[ 1, 1, 1, 1 ]	311	192
25	[ 4, 0, 0, 0 ]	249	8
25	[ 2, 2, 0, 0 ]	384	32
25	[ 2, 0, 0, 2 ]	384	32
25	[ 0, 4, 0, 0 ]	249	8
25	[ 0, 2, 0, 2 ]	384	32
25	[ 0, 0, 0, 4 ]	249	8
23	[ 2, 0, 1, 0 ]	475	48
23	[ 0, 2, 1, 0 ]	475	48
23	[ 0, 0, 1, 2 ]	475	48
21	[ 0, 0, 2, 0 ]	588	24
19	[ 1, 1, 0, 1 ]	715	96
13	[ 2, 0, 0, 0 ]	870	8
13	[ 0, 2, 0, 0 ]	870	8
13	[ 0, 0, 0, 2 ]	870	8
11	[ 0, 0, 1, 0 ]	1057	24
1	[ 0, 0, 0, 0 ]	1281	1