Weight Multiplicities

Groups of type B4, degree bound 1000

Diagram:

1 < 2 - .. - 4

Overview

Dimension	Highest weight	Characteristic
1	[ 0, 0, 0, 0 ]	all
8	[ 0, 0, 0, 1 ]	2
9	[ 0, 0, 0, 1 ]	not 2
16	[ 1, 0, 0, 0 ]	all
26	[ 0, 0, 1, 0 ]	2
36	[ 0, 0, 1, 0 ]	not 2
43	[ 0, 0, 0, 2 ]	3
44	[ 0, 0, 0, 2 ]	not 2, 3
48	[ 0, 1, 0, 0 ]	2
84	[ 0, 1, 0, 0 ]	not 2
112	[ 1, 0, 0, 1 ]	3
126	[ 2, 0, 0, 0 ]	not 2
128	[ 1, 0, 0, 1 ]	not 3
147	[ 0, 0, 0, 3 ]	11
147	[ 0, 0, 1, 1 ]	3
156	[ 0, 0, 0, 3 ]	not 2, 3, 11
160	[ 0, 0, 1, 1 ]	2
231	[ 0, 0, 1, 1 ]	not 2, 3
246	[ 0, 1, 0, 1 ]	2
304	[ 1, 0, 1, 0 ]	7
336	[ 1, 1, 0, 0 ]	5
369	[ 0, 0, 2, 0 ]	3
406	[ 0, 0, 0, 4 ]	13
416	[ 1, 0, 1, 0 ]	2
432	[ 1, 0, 1, 0 ]	not 2, 7
448	[ 1, 0, 0, 2 ]	11
449	[ 0, 0, 0, 4 ]	11
450	[ 0, 0, 0, 4 ]	not 2, 3, 11, 13
451	[ 0, 0, 2, 0 ]	7
495	[ 0, 0, 2, 0 ]	not 2, 3, 7
544	[ 3, 0, 0, 0 ]	5
558	[ 0, 1, 0, 1 ]	7
576	[ 1, 0, 0, 2 ]	not 2, 11
579	[ 0, 1, 1, 0 ]	3
594	[ 0, 1, 0, 1 ]	not 2, 7
656	[ 1, 1, 0, 0 ]	3
672	[ 3, 0, 0, 0 ]	not 2, 3, 5
752	[ 1, 1, 0, 0 ]	7
768	[ 1, 1, 0, 0 ]	not 3, 5, 7
784	[ 0, 1, 1, 0 ]	2
798	[ 2, 0, 0, 1 ]	5
840	[ 2, 0, 0, 1 ]	3
867	[ 0, 0, 1, 2 ]	3
874	[ 0, 0, 1, 2 ]	11
910	[ 0, 0, 1, 2 ]	not 2, 3, 11
924	[ 2, 0, 0, 1 ]	not 2, 3, 5
957	[ 0, 0, 1, 3 ]	5

The characters

Highest weight: [ 0, 0, 0, 0 ]
Characteristic: all
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: 2
Dimension: 8

Level	dominant weight	weight multiplicity	length of W-orbit
9	[ 0, 0, 0, 1 ]	1	8

Highest weight: [ 0, 0, 0, 1 ]
Characteristic: not 2
Dimension: 9

Level	dominant weight	weight multiplicity	length of W-orbit
9	[ 0, 0, 0, 1 ]	1	8
1	[ 0, 0, 0, 0 ]	1	1

Highest weight: [ 1, 0, 0, 0 ]
Characteristic: all
Dimension: 16

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

Highest weight: [ 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 26

Level	dominant weight	weight multiplicity	length of W-orbit
15	[ 0, 0, 1, 0 ]	1	24
1	[ 0, 0, 0, 0 ]	2	1

Highest weight: [ 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 36

Level	dominant weight	weight multiplicity	length of W-orbit
15	[ 0, 0, 1, 0 ]	1	24
9	[ 0, 0, 0, 1 ]	1	8
1	[ 0, 0, 0, 0 ]	4	1

Highest weight: [ 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 43

Level	dominant weight	weight multiplicity	length of W-orbit
17	[ 0, 0, 0, 2 ]	1	8
15	[ 0, 0, 1, 0 ]	1	24
9	[ 0, 0, 0, 1 ]	1	8
1	[ 0, 0, 0, 0 ]	3	1

Highest weight: [ 0, 0, 0, 2 ]
Characteristic: not 2,3
Dimension: 44

Level	dominant weight	weight multiplicity	length of W-orbit
17	[ 0, 0, 0, 2 ]	1	8
15	[ 0, 0, 1, 0 ]	1	24
9	[ 0, 0, 0, 1 ]	1	8
1	[ 0, 0, 0, 0 ]	4	1

Highest weight: [ 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 48

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 0, 1, 0, 0 ]	1	32
9	[ 0, 0, 0, 1 ]	2	8

Highest weight: [ 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 84

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 0, 1, 0, 0 ]	1	32
15	[ 0, 0, 1, 0 ]	1	24
9	[ 0, 0, 0, 1 ]	3	8
1	[ 0, 0, 0, 0 ]	4	1

Highest weight: [ 1, 0, 0, 1 ]
Characteristic: 3
Dimension: 112

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 1, 0, 0, 1 ]	1	64
11	[ 1, 0, 0, 0 ]	3	16

Highest weight: [ 2, 0, 0, 0 ]
Characteristic: not 2
Dimension: 126

Level	dominant weight	weight multiplicity	length of W-orbit
21	[ 2, 0, 0, 0 ]	1	16
19	[ 0, 1, 0, 0 ]	1	32
15	[ 0, 0, 1, 0 ]	2	24
9	[ 0, 0, 0, 1 ]	3	8
1	[ 0, 0, 0, 0 ]	6	1

Highest weight: [ 1, 0, 0, 1 ]
Characteristic: not 3
Dimension: 128

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 1, 0, 0, 1 ]	1	64
11	[ 1, 0, 0, 0 ]	4	16

Highest weight: [ 0, 0, 0, 3 ]
Characteristic: 11
Dimension: 147

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 0, 0, 0, 3 ]	1	8
23	[ 0, 0, 1, 1 ]	1	48
19	[ 0, 1, 0, 0 ]	1	32
17	[ 0, 0, 0, 2 ]	1	8
15	[ 0, 0, 1, 0 ]	1	24
9	[ 0, 0, 0, 1 ]	3	8
1	[ 0, 0, 0, 0 ]	3	1

Highest weight: [ 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 147

Level	dominant weight	weight multiplicity	length of W-orbit
23	[ 0, 0, 1, 1 ]	1	48
19	[ 0, 1, 0, 0 ]	1	32
17	[ 0, 0, 0, 2 ]	1	8
15	[ 0, 0, 1, 0 ]	1	24
9	[ 0, 0, 0, 1 ]	4	8
1	[ 0, 0, 0, 0 ]	3	1

Highest weight: [ 0, 0, 0, 3 ]
Characteristic: not 2,3,11
Dimension: 156

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 0, 0, 0, 3 ]	1	8
23	[ 0, 0, 1, 1 ]	1	48
19	[ 0, 1, 0, 0 ]	1	32
17	[ 0, 0, 0, 2 ]	1	8
15	[ 0, 0, 1, 0 ]	1	24
9	[ 0, 0, 0, 1 ]	4	8
1	[ 0, 0, 0, 0 ]	4	1

Highest weight: [ 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 160

Level	dominant weight	weight multiplicity	length of W-orbit
23	[ 0, 0, 1, 1 ]	1	48
19	[ 0, 1, 0, 0 ]	2	32
9	[ 0, 0, 0, 1 ]	6	8

Highest weight: [ 0, 0, 1, 1 ]
Characteristic: not 2,3
Dimension: 231

Level	dominant weight	weight multiplicity	length of W-orbit
23	[ 0, 0, 1, 1 ]	1	48
19	[ 0, 1, 0, 0 ]	2	32
17	[ 0, 0, 0, 2 ]	1	8
15	[ 0, 0, 1, 0 ]	2	24
9	[ 0, 0, 0, 1 ]	7	8
1	[ 0, 0, 0, 0 ]	7	1

Highest weight: [ 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 246

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 0, 1, 0, 1 ]	1	96
21	[ 2, 0, 0, 0 ]	2	16
17	[ 0, 0, 0, 2 ]	2	8
15	[ 0, 0, 1, 0 ]	4	24
1	[ 0, 0, 0, 0 ]	6	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 1, 0, 1, 0 ]	1	96
19	[ 1, 0, 0, 1 ]	2	64
11	[ 1, 0, 0, 0 ]	5	16

Highest weight: [ 1, 1, 0, 0 ]
Characteristic: 5
Dimension: 336

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 1, 0, 0 ]	1	64
25	[ 1, 0, 1, 0 ]	1	96
19	[ 1, 0, 0, 1 ]	2	64
11	[ 1, 0, 0, 0 ]	3	16

Highest weight: [ 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 369

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	1	96
23	[ 0, 0, 1, 1 ]	1	48
21	[ 2, 0, 0, 0 ]	1	16
19	[ 0, 1, 0, 0 ]	1	32
17	[ 0, 0, 0, 2 ]	3	8
15	[ 0, 0, 1, 0 ]	4	24
9	[ 0, 0, 0, 1 ]	3	8
1	[ 0, 0, 0, 0 ]	9	1

Highest weight: [ 0, 0, 0, 4 ]
Characteristic: 13
Dimension: 406

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 0, 0, 4 ]	1	8
31	[ 0, 0, 1, 2 ]	1	48
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	1	96
25	[ 0, 0, 0, 3 ]	1	8
23	[ 0, 0, 1, 1 ]	1	48
21	[ 2, 0, 0, 0 ]	1	16
19	[ 0, 1, 0, 0 ]	1	32
17	[ 0, 0, 0, 2 ]	3	8
15	[ 0, 0, 1, 0 ]	3	24
9	[ 0, 0, 0, 1 ]	3	8
1	[ 0, 0, 0, 0 ]	6	1

Highest weight: [ 1, 0, 1, 0 ]
Characteristic: 2
Dimension: 416

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 1, 0, 1, 0 ]	1	96
19	[ 1, 0, 0, 1 ]	3	64
11	[ 1, 0, 0, 0 ]	8	16

Highest weight: [ 1, 0, 1, 0 ]
Characteristic: not 2,7
Dimension: 432

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 1, 0, 1, 0 ]	1	96
19	[ 1, 0, 0, 1 ]	3	64
11	[ 1, 0, 0, 0 ]	9	16

Highest weight: [ 1, 0, 0, 2 ]
Characteristic: 11
Dimension: 448

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 1, 0, 0, 2 ]	1	64
25	[ 1, 0, 1, 0 ]	1	96
19	[ 1, 0, 0, 1 ]	3	64
11	[ 1, 0, 0, 0 ]	6	16

Highest weight: [ 0, 0, 0, 4 ]
Characteristic: 11
Dimension: 449

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 0, 0, 4 ]	1	8
31	[ 0, 0, 1, 2 ]	1	48
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	1	96
25	[ 0, 0, 0, 3 ]	1	8
23	[ 0, 0, 1, 1 ]	1	48
21	[ 2, 0, 0, 0 ]	1	16
19	[ 0, 1, 0, 0 ]	1	32
17	[ 0, 0, 0, 2 ]	4	8
15	[ 0, 0, 1, 0 ]	4	24
9	[ 0, 0, 0, 1 ]	4	8
1	[ 0, 0, 0, 0 ]	9	1

Highest weight: [ 0, 0, 0, 4 ]
Characteristic: not 2,3,11,13
Dimension: 450

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 0, 0, 4 ]	1	8
31	[ 0, 0, 1, 2 ]	1	48
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	1	96
25	[ 0, 0, 0, 3 ]	1	8
23	[ 0, 0, 1, 1 ]	1	48
21	[ 2, 0, 0, 0 ]	1	16
19	[ 0, 1, 0, 0 ]	1	32
17	[ 0, 0, 0, 2 ]	4	8
15	[ 0, 0, 1, 0 ]	4	24
9	[ 0, 0, 0, 1 ]	4	8
1	[ 0, 0, 0, 0 ]	10	1

Highest weight: [ 0, 0, 2, 0 ]
Characteristic: 7
Dimension: 451

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	1	96
23	[ 0, 0, 1, 1 ]	1	48
21	[ 2, 0, 0, 0 ]	2	16
19	[ 0, 1, 0, 0 ]	2	32
17	[ 0, 0, 0, 2 ]	2	8
15	[ 0, 0, 1, 0 ]	5	24
9	[ 0, 0, 0, 1 ]	5	8
1	[ 0, 0, 0, 0 ]	11	1

Highest weight: [ 0, 0, 2, 0 ]
Characteristic: not 2,3,7
Dimension: 495

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	1	96
23	[ 0, 0, 1, 1 ]	1	48
21	[ 2, 0, 0, 0 ]	2	16
19	[ 0, 1, 0, 0 ]	2	32
17	[ 0, 0, 0, 2 ]	3	8
15	[ 0, 0, 1, 0 ]	6	24
9	[ 0, 0, 0, 1 ]	6	8
1	[ 0, 0, 0, 0 ]	15	1

Highest weight: [ 3, 0, 0, 0 ]
Characteristic: 5
Dimension: 544

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 3, 0, 0, 0 ]	1	16
29	[ 1, 1, 0, 0 ]	1	64
25	[ 1, 0, 1, 0 ]	2	96
19	[ 1, 0, 0, 1 ]	3	64
11	[ 1, 0, 0, 0 ]	5	16

Highest weight: [ 0, 1, 0, 1 ]
Characteristic: 7
Dimension: 558

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 0, 1, 0, 1 ]	1	96
23	[ 0, 0, 1, 1 ]	1	48
21	[ 2, 0, 0, 0 ]	3	16
19	[ 0, 1, 0, 0 ]	3	32
17	[ 0, 0, 0, 2 ]	3	8
15	[ 0, 0, 1, 0 ]	7	24
9	[ 0, 0, 0, 1 ]	8	8
1	[ 0, 0, 0, 0 ]	14	1

Highest weight: [ 1, 0, 0, 2 ]
Characteristic: not 2,11
Dimension: 576

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 1, 0, 0, 2 ]	1	64
25	[ 1, 0, 1, 0 ]	1	96
19	[ 1, 0, 0, 1 ]	4	64
11	[ 1, 0, 0, 0 ]	10	16

Highest weight: [ 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 579

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 1, 1, 0 ]	1	96
29	[ 2, 0, 0, 1 ]	1	64
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	1	96
23	[ 0, 0, 1, 1 ]	2	48
21	[ 2, 0, 0, 0 ]	1	16
19	[ 0, 1, 0, 0 ]	3	32
17	[ 0, 0, 0, 2 ]	1	8
15	[ 0, 0, 1, 0 ]	2	24
9	[ 0, 0, 0, 1 ]	4	8
1	[ 0, 0, 0, 0 ]	3	1

Highest weight: [ 0, 1, 0, 1 ]
Characteristic: not 2,7
Dimension: 594

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 0, 1, 0, 1 ]	1	96
23	[ 0, 0, 1, 1 ]	1	48
21	[ 2, 0, 0, 0 ]	3	16
19	[ 0, 1, 0, 0 ]	3	32
17	[ 0, 0, 0, 2 ]	3	8
15	[ 0, 0, 1, 0 ]	8	24
9	[ 0, 0, 0, 1 ]	9	8
1	[ 0, 0, 0, 0 ]	18	1

Highest weight: [ 1, 1, 0, 0 ]
Characteristic: 3
Dimension: 656

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 1, 0, 0 ]	1	64
25	[ 1, 0, 1, 0 ]	2	96
19	[ 1, 0, 0, 1 ]	4	64
11	[ 1, 0, 0, 0 ]	9	16

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

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 3, 0, 0, 0 ]	1	16
29	[ 1, 1, 0, 0 ]	1	64
25	[ 1, 0, 1, 0 ]	2	96
19	[ 1, 0, 0, 1 ]	4	64
11	[ 1, 0, 0, 0 ]	9	16

Highest weight: [ 1, 1, 0, 0 ]
Characteristic: 7
Dimension: 752

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 1, 0, 0 ]	1	64
25	[ 1, 0, 1, 0 ]	2	96
19	[ 1, 0, 0, 1 ]	5	64
11	[ 1, 0, 0, 0 ]	11	16

Highest weight: [ 1, 1, 0, 0 ]
Characteristic: not 3,5,7
Dimension: 768

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 1, 0, 0 ]	1	64
25	[ 1, 0, 1, 0 ]	2	96
19	[ 1, 0, 0, 1 ]	5	64
11	[ 1, 0, 0, 0 ]	12	16

Highest weight: [ 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 784

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 1, 1, 0 ]	1	96
29	[ 2, 0, 0, 1 ]	2	64
23	[ 0, 0, 1, 1 ]	4	48
19	[ 0, 1, 0, 0 ]	8	32
9	[ 0, 0, 0, 1 ]	14	8

Highest weight: [ 2, 0, 0, 1 ]
Characteristic: 5
Dimension: 798

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 2, 0, 0, 1 ]	1	64
27	[ 0, 1, 0, 1 ]	1	96
23	[ 0, 0, 1, 1 ]	2	48
21	[ 2, 0, 0, 0 ]	3	16
19	[ 0, 1, 0, 0 ]	6	32
17	[ 0, 0, 0, 2 ]	3	8
15	[ 0, 0, 1, 0 ]	7	24
9	[ 0, 0, 0, 1 ]	12	8
1	[ 0, 0, 0, 0 ]	14	1

Highest weight: [ 2, 0, 0, 1 ]
Characteristic: 3
Dimension: 840

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 2, 0, 0, 1 ]	1	64
27	[ 0, 1, 0, 1 ]	1	96
23	[ 0, 0, 1, 1 ]	2	48
21	[ 2, 0, 0, 0 ]	4	16
19	[ 0, 1, 0, 0 ]	6	32
17	[ 0, 0, 0, 2 ]	3	8
15	[ 0, 0, 1, 0 ]	8	24
9	[ 0, 0, 0, 1 ]	12	8
1	[ 0, 0, 0, 0 ]	16	1

Highest weight: [ 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 867

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 0, 1, 2 ]	1	48
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	2	96
25	[ 0, 0, 0, 3 ]	1	8
23	[ 0, 0, 1, 1 ]	2	48
21	[ 2, 0, 0, 0 ]	3	16
19	[ 0, 1, 0, 0 ]	3	32
17	[ 0, 0, 0, 2 ]	6	8
15	[ 0, 0, 1, 0 ]	9	24
9	[ 0, 0, 0, 1 ]	9	8
1	[ 0, 0, 0, 0 ]	19	1

Highest weight: [ 0, 0, 1, 2 ]
Characteristic: 11
Dimension: 874

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 0, 1, 2 ]	1	48
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	2	96
25	[ 0, 0, 0, 3 ]	1	8
23	[ 0, 0, 1, 1 ]	2	48
21	[ 2, 0, 0, 0 ]	3	16
19	[ 0, 1, 0, 0 ]	3	32
17	[ 0, 0, 0, 2 ]	7	8
15	[ 0, 0, 1, 0 ]	9	24
9	[ 0, 0, 0, 1 ]	9	8
1	[ 0, 0, 0, 0 ]	18	1

Highest weight: [ 0, 0, 1, 2 ]
Characteristic: not 2,3,11
Dimension: 910

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 0, 1, 2 ]	1	48
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	2	96
25	[ 0, 0, 0, 3 ]	1	8
23	[ 0, 0, 1, 1 ]	2	48
21	[ 2, 0, 0, 0 ]	3	16
19	[ 0, 1, 0, 0 ]	3	32
17	[ 0, 0, 0, 2 ]	7	8
15	[ 0, 0, 1, 0 ]	10	24
9	[ 0, 0, 0, 1 ]	10	8
1	[ 0, 0, 0, 0 ]	22	1

Highest weight: [ 2, 0, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 924

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 2, 0, 0, 1 ]	1	64
27	[ 0, 1, 0, 1 ]	1	96
23	[ 0, 0, 1, 1 ]	2	48
21	[ 2, 0, 0, 0 ]	4	16
19	[ 0, 1, 0, 0 ]	7	32
17	[ 0, 0, 0, 2 ]	3	8
15	[ 0, 0, 1, 0 ]	9	24
9	[ 0, 0, 0, 1 ]	15	8
1	[ 0, 0, 0, 0 ]	20	1

Highest weight: [ 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 957

Level	dominant weight	weight multiplicity	length of W-orbit
39	[ 0, 0, 1, 3 ]	1	48
37	[ 0, 0, 2, 1 ]	1	48
35	[ 0, 1, 0, 2 ]	1	96
33	[ 0, 1, 1, 0 ]	1	96
33	[ 0, 0, 0, 4 ]	1	8
31	[ 0, 0, 1, 2 ]	1	48
29	[ 2, 0, 0, 1 ]	1	64
29	[ 0, 0, 2, 0 ]	1	24
27	[ 0, 1, 0, 1 ]	1	96
25	[ 0, 0, 0, 3 ]	3	8
23	[ 0, 0, 1, 1 ]	3	48
21	[ 2, 0, 0, 0 ]	1	16
19	[ 0, 1, 0, 0 ]	3	32
17	[ 0, 0, 0, 2 ]	3	8
15	[ 0, 0, 1, 0 ]	3	24
9	[ 0, 0, 0, 1 ]	6	8
1	[ 0, 0, 0, 0 ]	5	1