Weight Multiplicities

Groups of type C10, degree bound 40000

Diagram:

1 > o - .. - 10

Overview

Dimension	Highest weight	Characteristic
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	all
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	all
188	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	2
188	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	5
189	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	not 2, 5
210	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	not 2
1024	[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	2
1100	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	3
1120	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	not 3
1520	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	3
1540	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	not 2, 3
2620	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	7
2640	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	not 3, 7
4466	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	2
4654	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3
4655	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	not 2, 3
8455	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	3
8855	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 4 ]	not 2, 3
12712	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	2
12921	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	11
13109	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	7
13110	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	not 2, 3, 7, 11
13244	[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	7
14344	[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	2
14364	[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	not 2, 7
17346	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	3
17368	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	5
17556	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	not 2, 3, 5
20480	[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	2
21525	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	11
21735	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	not 2, 11
29261	[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	3
29448	[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	2
29524	[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	3
29525	[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	3
33726	[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	7
33915	[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	not 2, 3, 7
38304	[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	3

The characters

Highest weight: [ 0, 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, 0 ]	1	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: all
Dimension: 20

Level	dominant weight	weight multiplicity	length of W-orbit
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	1	20

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 188

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 5
Dimension: 188

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2,5
Dimension: 189

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	9	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2
Dimension: 210

Level	dominant weight	weight multiplicity	length of W-orbit
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	1	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	10	1

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 1024

Level	dominant weight	weight multiplicity	length of W-orbit
101	[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	1	1024

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 3
Dimension: 1100

Level	dominant weight	weight multiplicity	length of W-orbit
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	7	20

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 3
Dimension: 1120

Level	dominant weight	weight multiplicity	length of W-orbit
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	8	20

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 1520

Level	dominant weight	weight multiplicity	length of W-orbit
56	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	1	360
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	10	20

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3
Dimension: 1540

Level	dominant weight	weight multiplicity	length of W-orbit
58	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 3 ]	1	20
56	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	1	360
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	10	20

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 7
Dimension: 2620

Level	dominant weight	weight multiplicity	length of W-orbit
56	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	1	360
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	2	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	17	20

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 3,7
Dimension: 2640

Level	dominant weight	weight multiplicity	length of W-orbit
56	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	1	360
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	2	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	18	20

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 4466

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	3360
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	6	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	26	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 3
Dimension: 4654

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	3360
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	7	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	34	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2,3
Dimension: 4655

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	3360
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	7	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	35	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 8455

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	180
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	9	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	10	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	55	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3
Dimension: 8855

Level	dominant weight	weight multiplicity	length of W-orbit
77	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 4 ]	1	20
75	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	1	360
73	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	180
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	10	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	10	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	55	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 12712

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	2	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	8	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	16	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	72	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 11
Dimension: 12921

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	180
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	2	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	9	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	16	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	81	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 7
Dimension: 13109

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	180
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	2	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	9	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	17	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	89	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,7,11
Dimension: 13110

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	180
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	2	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	9	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	17	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	90	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 7
Dimension: 13244

Level	dominant weight	weight multiplicity	length of W-orbit
76	[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	8064
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	5	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	19	20

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 14344

Level	dominant weight	weight multiplicity	length of W-orbit
76	[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	8064
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	6	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	26	20

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2,7
Dimension: 14364

Level	dominant weight	weight multiplicity	length of W-orbit
76	[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	8064
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	6	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	27	20

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 3
Dimension: 17346

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	7	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	23	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	106	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 5
Dimension: 17368

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	8	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	23	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	108	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 17556

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	1	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	8	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	24	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	116	1

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 20480

Level	dominant weight	weight multiplicity	length of W-orbit
120	[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	1	10240
100	[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	2	5120

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 11
Dimension: 21525

Level	dominant weight	weight multiplicity	length of W-orbit
75	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	1	360
73	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	180
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	2	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	17	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	26	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	125	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,11
Dimension: 21735

Level	dominant weight	weight multiplicity	length of W-orbit
75	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ]	1	360
73	[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ]	1	180
71	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]	2	2880
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	3	3360
39	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]	18	20
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	27	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	135	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 29261

Level	dominant weight	weight multiplicity	length of W-orbit
85	[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	1	13440
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	4	3360
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	13	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	41	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 29448

Level	dominant weight	weight multiplicity	length of W-orbit
85	[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	1	13440
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	4	3360
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	14	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	48	1

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 29524

Level	dominant weight	weight multiplicity	length of W-orbit
100	[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]	1	5120
92	[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]	1	15360
76	[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	8064
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	1	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	1	20

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 3
Dimension: 29525

Level	dominant weight	weight multiplicity	length of W-orbit
101	[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	1	1024
97	[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]	1	11520
85	[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	1	13440
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	1	3360
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	1	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	1	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 7
Dimension: 33726

Level	dominant weight	weight multiplicity	length of W-orbit
85	[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	1	13440
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	5	3360
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	19	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	66	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2,3,7
Dimension: 33915

Level	dominant weight	weight multiplicity	length of W-orbit
85	[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]	1	13440
65	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]	5	3360
37	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]	20	180
1	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	75	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 38304

Level	dominant weight	weight multiplicity	length of W-orbit
88	[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ]	1	2880
84	[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ]	1	13440
76	[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]	1	8064
56	[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]	9	360
52	[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]	10	960
20	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]	54	20