Weight Multiplicities

Groups of type G2, degree bound 700

Diagram:

1 > 2

Overview

Dimension	Highest weight	Characteristic
1	[ 0, 0 ]	all
6	[ 0, 1 ]	2
7	[ 0, 1 ]	not 2
7	[ 1, 0 ]	3
14	[ 1, 0 ]	not 3
26	[ 0, 2 ]	7
27	[ 0, 2 ]	not 2, 7
27	[ 2, 0 ]	3
38	[ 1, 1 ]	7
49	[ 1, 1 ]	3
64	[ 1, 1 ]	not 3, 7
77	[ 0, 3 ]	not 2, 3
77	[ 2, 0 ]	not 2, 3
97	[ 2, 1 ]	5
125	[ 1, 2 ]	11
148	[ 3, 0 ]	11
155	[ 0, 4 ]	11
182	[ 0, 4 ]	not 2, 3, 11
189	[ 1, 2 ]	not 2, 11
189	[ 2, 1 ]	3
196	[ 3, 0 ]	5
244	[ 3, 1 ]	13
248	[ 2, 1 ]	7
259	[ 1, 3 ]	13
267	[ 4, 0 ]	7
273	[ 3, 0 ]	not 2, 3, 5, 11
286	[ 2, 1 ]	not 2, 3, 5, 7
295	[ 2, 2 ]	11
301	[ 0, 5 ]	13
371	[ 0, 5 ]	11
371	[ 1, 3 ]	5
378	[ 0, 5 ]	not 2, 3, 5, 11, 13
434	[ 1, 3 ]	11
448	[ 1, 3 ]	not 2, 3, 5, 11, 13
469	[ 1, 4 ]	5
481	[ 2, 2 ]	7
483	[ 2, 2 ]	5
489	[ 4, 0 ]	13
532	[ 3, 2 ]	7
546	[ 5, 0 ]	17
652	[ 2, 2 ]	13
687	[ 0, 6 ]	13

The characters

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

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

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

Level	dominant weight	weight multiplicity	length of W-orbit
7	[ 0, 1 ]	1	6

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

Level	dominant weight	weight multiplicity	length of W-orbit
7	[ 0, 1 ]	1	6
1	[ 0, 0 ]	1	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
11	[ 1, 0 ]	1	6
1	[ 0, 0 ]	1	1

Highest weight: [ 1, 0 ]
Characteristic: not 3
Dimension: 14

Level	dominant weight	weight multiplicity	length of W-orbit
11	[ 1, 0 ]	1	6
7	[ 0, 1 ]	1	6
1	[ 0, 0 ]	2	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
13	[ 0, 2 ]	1	6
11	[ 1, 0 ]	1	6
7	[ 0, 1 ]	2	6
1	[ 0, 0 ]	2	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
13	[ 0, 2 ]	1	6
11	[ 1, 0 ]	1	6
7	[ 0, 1 ]	2	6
1	[ 0, 0 ]	3	1

Highest weight: [ 2, 0 ]
Characteristic: 3
Dimension: 27

Level	dominant weight	weight multiplicity	length of W-orbit
21	[ 2, 0 ]	1	6
19	[ 0, 3 ]	1	6
11	[ 1, 0 ]	2	6
1	[ 0, 0 ]	3	1

Highest weight: [ 1, 1 ]
Characteristic: 7
Dimension: 38

Level	dominant weight	weight multiplicity	length of W-orbit
17	[ 1, 1 ]	1	12
13	[ 0, 2 ]	1	6
11	[ 1, 0 ]	1	6
7	[ 0, 1 ]	2	6
1	[ 0, 0 ]	2	1

Highest weight: [ 1, 1 ]
Characteristic: 3
Dimension: 49

Level	dominant weight	weight multiplicity	length of W-orbit
17	[ 1, 1 ]	1	12
13	[ 0, 2 ]	2	6
11	[ 1, 0 ]	1	6
7	[ 0, 1 ]	3	6
1	[ 0, 0 ]	1	1

Highest weight: [ 1, 1 ]
Characteristic: not 3,7
Dimension: 64

Level	dominant weight	weight multiplicity	length of W-orbit
17	[ 1, 1 ]	1	12
13	[ 0, 2 ]	2	6
11	[ 1, 0 ]	2	6
7	[ 0, 1 ]	4	6
1	[ 0, 0 ]	4	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 0, 3 ]	1	6
17	[ 1, 1 ]	1	12
13	[ 0, 2 ]	2	6
11	[ 1, 0 ]	3	6
7	[ 0, 1 ]	4	6
1	[ 0, 0 ]	5	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
21	[ 2, 0 ]	1	6
19	[ 0, 3 ]	1	6
17	[ 1, 1 ]	1	12
13	[ 0, 2 ]	2	6
11	[ 1, 0 ]	3	6
7	[ 0, 1 ]	3	6
1	[ 0, 0 ]	5	1

Highest weight: [ 2, 1 ]
Characteristic: 5
Dimension: 97

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	1	6
23	[ 1, 2 ]	1	12
21	[ 2, 0 ]	1	6
19	[ 0, 3 ]	1	6
17	[ 1, 1 ]	2	12
13	[ 0, 2 ]	2	6
11	[ 1, 0 ]	1	6
7	[ 0, 1 ]	2	6
1	[ 0, 0 ]	1	1

Highest weight: [ 1, 2 ]
Characteristic: 11
Dimension: 125

Level	dominant weight	weight multiplicity	length of W-orbit
23	[ 1, 2 ]	1	12
21	[ 2, 0 ]	1	6
19	[ 0, 3 ]	2	6
17	[ 1, 1 ]	2	12
13	[ 0, 2 ]	3	6
11	[ 1, 0 ]	4	6
7	[ 0, 1 ]	4	6
1	[ 0, 0 ]	5	1

Highest weight: [ 3, 0 ]
Characteristic: 11
Dimension: 148

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 3, 0 ]	1	6
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	1	6
23	[ 1, 2 ]	1	12
21	[ 2, 0 ]	2	6
19	[ 0, 3 ]	2	6
17	[ 1, 1 ]	2	12
13	[ 0, 2 ]	2	6
11	[ 1, 0 ]	3	6
7	[ 0, 1 ]	3	6
1	[ 0, 0 ]	4	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 0, 4 ]	1	6
23	[ 1, 2 ]	1	12
21	[ 2, 0 ]	1	6
19	[ 0, 3 ]	2	6
17	[ 1, 1 ]	3	12
13	[ 0, 2 ]	4	6
11	[ 1, 0 ]	4	6
7	[ 0, 1 ]	5	6
1	[ 0, 0 ]	5	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 0, 4 ]	1	6
23	[ 1, 2 ]	1	12
21	[ 2, 0 ]	1	6
19	[ 0, 3 ]	2	6
17	[ 1, 1 ]	3	12
13	[ 0, 2 ]	5	6
11	[ 1, 0 ]	5	6
7	[ 0, 1 ]	7	6
1	[ 0, 0 ]	8	1

Highest weight: [ 1, 2 ]
Characteristic: not 2,11
Dimension: 189

Level	dominant weight	weight multiplicity	length of W-orbit
23	[ 1, 2 ]	1	12
21	[ 2, 0 ]	1	6
19	[ 0, 3 ]	2	6
17	[ 1, 1 ]	3	12
13	[ 0, 2 ]	5	6
11	[ 1, 0 ]	6	6
7	[ 0, 1 ]	8	6
1	[ 0, 0 ]	9	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	1	6
23	[ 1, 2 ]	2	12
21	[ 2, 0 ]	1	6
19	[ 0, 3 ]	1	6
17	[ 1, 1 ]	4	12
13	[ 0, 2 ]	5	6
11	[ 1, 0 ]	2	6
7	[ 0, 1 ]	7	6
1	[ 0, 0 ]	3	1

Highest weight: [ 3, 0 ]
Characteristic: 5
Dimension: 196

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 3, 0 ]	1	6
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	1	6
23	[ 1, 2 ]	2	12
21	[ 2, 0 ]	3	6
19	[ 0, 3 ]	3	6
17	[ 1, 1 ]	3	12
13	[ 0, 2 ]	3	6
11	[ 1, 0 ]	4	6
7	[ 0, 1 ]	3	6
1	[ 0, 0 ]	4	1

Highest weight: [ 3, 1 ]
Characteristic: 13
Dimension: 244

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 3, 1 ]	1	12
35	[ 1, 4 ]	1	12
33	[ 2, 2 ]	1	12
31	[ 3, 0 ]	1	6
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	2	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	2	12
21	[ 2, 0 ]	2	6
19	[ 0, 3 ]	2	6
17	[ 1, 1 ]	3	12
13	[ 0, 2 ]	3	6
11	[ 1, 0 ]	3	6
7	[ 0, 1 ]	4	6
1	[ 0, 0 ]	4	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	1	6
23	[ 1, 2 ]	2	12
21	[ 2, 0 ]	2	6
19	[ 0, 3 ]	3	6
17	[ 1, 1 ]	4	12
13	[ 0, 2 ]	6	6
11	[ 1, 0 ]	6	6
7	[ 0, 1 ]	8	6
1	[ 0, 0 ]	8	1

Highest weight: [ 1, 3 ]
Characteristic: 13
Dimension: 259

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	2	12
21	[ 2, 0 ]	3	6
19	[ 0, 3 ]	4	6
17	[ 1, 1 ]	4	12
13	[ 0, 2 ]	5	6
11	[ 1, 0 ]	6	6
7	[ 0, 1 ]	6	6
1	[ 0, 0 ]	7	1

Highest weight: [ 4, 0 ]
Characteristic: 7
Dimension: 267

Level	dominant weight	weight multiplicity	length of W-orbit
41	[ 4, 0 ]	1	6
39	[ 2, 3 ]	1	12
37	[ 3, 1 ]	1	12
37	[ 0, 6 ]	1	6
35	[ 1, 4 ]	1	12
33	[ 2, 2 ]	1	12
31	[ 3, 0 ]	2	6
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	2	12
27	[ 2, 1 ]	2	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	2	12
21	[ 2, 0 ]	3	6
19	[ 0, 3 ]	3	6
17	[ 1, 1 ]	2	12
13	[ 0, 2 ]	2	6
11	[ 1, 0 ]	3	6
7	[ 0, 1 ]	2	6
1	[ 0, 0 ]	3	1

Highest weight: [ 3, 0 ]
Characteristic: not 2,3,5,11
Dimension: 273

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 3, 0 ]	1	6
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	1	6
23	[ 1, 2 ]	2	12
21	[ 2, 0 ]	3	6
19	[ 0, 3 ]	4	6
17	[ 1, 1 ]	4	12
13	[ 0, 2 ]	5	6
11	[ 1, 0 ]	7	6
7	[ 0, 1 ]	7	6
1	[ 0, 0 ]	9	1

Highest weight: [ 2, 1 ]
Characteristic: not 2,3,5,7
Dimension: 286

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	1	6
23	[ 1, 2 ]	2	12
21	[ 2, 0 ]	2	6
19	[ 0, 3 ]	3	6
17	[ 1, 1 ]	5	12
13	[ 0, 2 ]	7	6
11	[ 1, 0 ]	7	6
7	[ 0, 1 ]	10	6
1	[ 0, 0 ]	10	1

Highest weight: [ 2, 2 ]
Characteristic: 11
Dimension: 295

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 2, 2 ]	1	12
31	[ 3, 0 ]	1	6
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	2	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	3	12
21	[ 2, 0 ]	3	6
19	[ 0, 3 ]	3	6
17	[ 1, 1 ]	4	12
13	[ 0, 2 ]	5	6
11	[ 1, 0 ]	5	6
7	[ 0, 1 ]	6	6
1	[ 0, 0 ]	7	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	3	12
21	[ 2, 0 ]	3	6
19	[ 0, 3 ]	4	6
17	[ 1, 1 ]	5	12
13	[ 0, 2 ]	6	6
11	[ 1, 0 ]	6	6
7	[ 0, 1 ]	7	6
1	[ 0, 0 ]	7	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	3	12
21	[ 2, 0 ]	3	6
19	[ 0, 3 ]	5	6
17	[ 1, 1 ]	6	12
13	[ 0, 2 ]	8	6
11	[ 1, 0 ]	9	6
7	[ 0, 1 ]	10	6
1	[ 0, 0 ]	11	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	3	12
21	[ 2, 0 ]	3	6
19	[ 0, 3 ]	5	6
17	[ 1, 1 ]	6	12
13	[ 0, 2 ]	8	6
11	[ 1, 0 ]	9	6
7	[ 0, 1 ]	11	6
1	[ 0, 0 ]	11	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	3	12
21	[ 2, 0 ]	3	6
19	[ 0, 3 ]	5	6
17	[ 1, 1 ]	6	12
13	[ 0, 2 ]	8	6
11	[ 1, 0 ]	9	6
7	[ 0, 1 ]	11	6
1	[ 0, 0 ]	12	1

Highest weight: [ 1, 3 ]
Characteristic: 11
Dimension: 434

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	3	12
21	[ 2, 0 ]	4	6
19	[ 0, 3 ]	6	6
17	[ 1, 1 ]	7	12
13	[ 0, 2 ]	10	6
11	[ 1, 0 ]	11	6
7	[ 0, 1 ]	13	6
1	[ 0, 0 ]	14	1

Highest weight: [ 1, 3 ]
Characteristic: not 2,3,5,11,13
Dimension: 448

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 3 ]	1	12
27	[ 2, 1 ]	1	12
25	[ 0, 4 ]	2	6
23	[ 1, 2 ]	3	12
21	[ 2, 0 ]	4	6
19	[ 0, 3 ]	6	6
17	[ 1, 1 ]	7	12
13	[ 0, 2 ]	10	6
11	[ 1, 0 ]	12	6
7	[ 0, 1 ]	14	6
1	[ 0, 0 ]	16	1

Highest weight: [ 1, 4 ]
Characteristic: 5
Dimension: 469

Level	dominant weight	weight multiplicity	length of W-orbit
35	[ 1, 4 ]	1	12
33	[ 2, 2 ]	1	12
31	[ 3, 0 ]	1	6
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	2	12
27	[ 2, 1 ]	3	12
25	[ 0, 4 ]	4	6
23	[ 1, 2 ]	5	12
21	[ 2, 0 ]	4	6
19	[ 0, 3 ]	5	6
17	[ 1, 1 ]	7	12
13	[ 0, 2 ]	8	6
11	[ 1, 0 ]	7	6
7	[ 0, 1 ]	9	6
1	[ 0, 0 ]	7	1

Highest weight: [ 2, 2 ]
Characteristic: 7
Dimension: 481

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 2, 2 ]	1	12
31	[ 3, 0 ]	1	6
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	2	12
27	[ 2, 1 ]	2	12
25	[ 0, 4 ]	3	6
23	[ 1, 2 ]	4	12
21	[ 2, 0 ]	5	6
19	[ 0, 3 ]	6	6
17	[ 1, 1 ]	7	12
13	[ 0, 2 ]	9	6
11	[ 1, 0 ]	10	6
7	[ 0, 1 ]	11	6
1	[ 0, 0 ]	13	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 2, 2 ]	1	12
31	[ 3, 0 ]	1	6
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	2	12
27	[ 2, 1 ]	3	12
25	[ 0, 4 ]	3	6
23	[ 1, 2 ]	5	12
21	[ 2, 0 ]	6	6
19	[ 0, 3 ]	7	6
17	[ 1, 1 ]	7	12
13	[ 0, 2 ]	8	6
11	[ 1, 0 ]	9	6
7	[ 0, 1 ]	8	6
1	[ 0, 0 ]	9	1

Highest weight: [ 4, 0 ]
Characteristic: 13
Dimension: 489

Level	dominant weight	weight multiplicity	length of W-orbit
41	[ 4, 0 ]	1	6
39	[ 2, 3 ]	1	12
37	[ 3, 1 ]	1	12
37	[ 0, 6 ]	1	6
35	[ 1, 4 ]	1	12
33	[ 2, 2 ]	2	12
31	[ 3, 0 ]	3	6
31	[ 0, 5 ]	2	6
29	[ 1, 3 ]	3	12
27	[ 2, 1 ]	3	12
25	[ 0, 4 ]	3	6
23	[ 1, 2 ]	4	12
21	[ 2, 0 ]	5	6
19	[ 0, 3 ]	5	6
17	[ 1, 1 ]	5	12
13	[ 0, 2 ]	6	6
11	[ 1, 0 ]	7	6
7	[ 0, 1 ]	7	6
1	[ 0, 0 ]	9	1

Highest weight: [ 3, 2 ]
Characteristic: 7
Dimension: 532

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 3, 2 ]	1	12
41	[ 4, 0 ]	1	6
41	[ 1, 5 ]	1	12
39	[ 2, 3 ]	1	12
37	[ 3, 1 ]	2	12
37	[ 0, 6 ]	1	6
35	[ 1, 4 ]	2	12
33	[ 2, 2 ]	3	12
31	[ 3, 0 ]	3	6
31	[ 0, 5 ]	3	6
29	[ 1, 3 ]	3	12
27	[ 2, 1 ]	4	12
25	[ 0, 4 ]	4	6
23	[ 1, 2 ]	5	12
21	[ 2, 0 ]	4	6
19	[ 0, 3 ]	4	6
17	[ 1, 1 ]	5	12
13	[ 0, 2 ]	5	6
11	[ 1, 0 ]	4	6
7	[ 0, 1 ]	5	6
1	[ 0, 0 ]	4	1

Highest weight: [ 5, 0 ]
Characteristic: 17
Dimension: 546

Level	dominant weight	weight multiplicity	length of W-orbit
51	[ 5, 0 ]	1	6
49	[ 3, 3 ]	1	12
47	[ 4, 1 ]	1	12
47	[ 1, 6 ]	1	12
45	[ 2, 4 ]	1	12
43	[ 3, 2 ]	1	12
43	[ 0, 7 ]	1	6
41	[ 4, 0 ]	2	6
41	[ 1, 5 ]	1	12
39	[ 2, 3 ]	2	12
37	[ 3, 1 ]	2	12
37	[ 0, 6 ]	2	6
35	[ 1, 4 ]	2	12
33	[ 2, 2 ]	2	12
31	[ 3, 0 ]	3	6
31	[ 0, 5 ]	2	6
29	[ 1, 3 ]	3	12
27	[ 2, 1 ]	3	12
25	[ 0, 4 ]	3	6
23	[ 1, 2 ]	3	12
21	[ 2, 0 ]	4	6
19	[ 0, 3 ]	4	6
17	[ 1, 1 ]	4	12
13	[ 0, 2 ]	4	6
11	[ 1, 0 ]	5	6
7	[ 0, 1 ]	5	6
1	[ 0, 0 ]	6	1

Highest weight: [ 2, 2 ]
Characteristic: 13
Dimension: 652

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 2, 2 ]	1	12
31	[ 3, 0 ]	1	6
31	[ 0, 5 ]	1	6
29	[ 1, 3 ]	2	12
27	[ 2, 1 ]	3	12
25	[ 0, 4 ]	4	6
23	[ 1, 2 ]	6	12
21	[ 2, 0 ]	6	6
19	[ 0, 3 ]	8	6
17	[ 1, 1 ]	10	12
13	[ 0, 2 ]	13	6
11	[ 1, 0 ]	13	6
7	[ 0, 1 ]	16	6
1	[ 0, 0 ]	16	1

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

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 0, 6 ]	1	6
35	[ 1, 4 ]	1	12
33	[ 2, 2 ]	1	12
31	[ 3, 0 ]	1	6
31	[ 0, 5 ]	2	6
29	[ 1, 3 ]	3	12
27	[ 2, 1 ]	3	12
25	[ 0, 4 ]	5	6
23	[ 1, 2 ]	6	12
21	[ 2, 0 ]	7	6
19	[ 0, 3 ]	9	6
17	[ 1, 1 ]	10	12
13	[ 0, 2 ]	12	6
11	[ 1, 0 ]	13	6
7	[ 0, 1 ]	14	6
1	[ 0, 0 ]	15	1