Weight Multiplicities

Groups of type B8, degree bound 40000

Diagram:

1 < 2 - .. - 8

Overview

Dimension	Highest weight	Characteristic
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	all
16	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	2
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	not 2
118	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	2
136	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	not 2
151	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	17
152	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	not 2, 17
256	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	all
544	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	2
680	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	not 2
935	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	19
935	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	3
952	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	not 2, 3, 19
1344	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	2
1582	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2
1615	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	not 2, 3
2380	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	not 2
3808	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	2
3840	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	17
4096	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	not 17
4251	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	3
4488	[ 0, 0, 1, 0, 0, 0, 0, 0 ]	2
4540	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	7
4691	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	19
4692	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	not 2, 3, 7, 19
5066	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	2
6188	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	not 2
6528	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	2
6631	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	5
6783	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	not 2, 3, 5
8908	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	3
8908	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	5
9044	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	not 2, 3, 5
11189	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	17
11204	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	19
11340	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	not 2, 17, 19
12376	[ 0, 0, 1, 0, 0, 0, 0, 0 ]	not 2
16779	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	3
18428	[ 0, 0, 0, 0, 0, 0, 0, 5 ]	23
19363	[ 0, 0, 0, 0, 0, 0, 0, 5 ]	7
19363	[ 0, 0, 0, 0, 0, 0, 1, 3 ]	5
19380	[ 0, 0, 0, 0, 0, 0, 0, 5 ]	not 2, 3, 5, 7, 23
19448	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	not 2
21504	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	2
24310	[ 2, 0, 0, 0, 0, 0, 0, 0 ]	not 2
26368	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	3
26368	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	5
27404	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	5
30208	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	2
30464	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	not 2, 3, 5
30720	[ 1, 0, 0, 0, 0, 0, 0, 2 ]	19
32352	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	2
32912	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	7
33592	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	not 2, 5, 7
34816	[ 1, 0, 0, 0, 0, 0, 0, 2 ]	not 2, 19

The characters

Highest weight: [ 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 ]	1	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 16

Level	dominant weight	weight multiplicity	length of W-orbit
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	1	16

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

Level	dominant weight	weight multiplicity	length of W-orbit
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	1	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	1	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 118

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	1	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	6	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 136

Level	dominant weight	weight multiplicity	length of W-orbit
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	1	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	1	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 17
Dimension: 151

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	1	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	1	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	1	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	7	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,17
Dimension: 152

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	1	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	1	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	1	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

Highest weight: [ 1, 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 ]	1	256

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 544

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	6	16

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 680

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	1	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	7	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: 19
Dimension: 935

Level	dominant weight	weight multiplicity	length of W-orbit
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	1	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	1	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	1	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	7	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	7	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 935

Level	dominant weight	weight multiplicity	length of W-orbit
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	1	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	1	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	8	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	7	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,19
Dimension: 952

Level	dominant weight	weight multiplicity	length of W-orbit
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	1	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	1	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	1	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	8	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 1344

Level	dominant weight	weight multiplicity	length of W-orbit
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	2	448
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	14	16

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 1582

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	4	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	14	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 2,3
Dimension: 1615

Level	dominant weight	weight multiplicity	length of W-orbit
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	2	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	1	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	2	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	15	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	15	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 2380

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	6	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	7	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	28	1

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 3808

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	4	448
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	14	16

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 17
Dimension: 3840

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	1	2048
37	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	7	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 17
Dimension: 4096

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	1	2048
37	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	8	256

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 4251

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	6	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	7	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	6	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	27	1

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 4488

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 0, 0, 1, 0, 0, 0, 0, 0 ]	1	1792
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2	1120
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	4	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	8	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 7
Dimension: 4540

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	1	16
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	1	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	7	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	7	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	28	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 19
Dimension: 4691

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	1	16
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	1	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	8	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	8	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	8	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	35	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,7,19
Dimension: 4692

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	1	16
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	1	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	1	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	8	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	8	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	8	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	36	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 5066

Level	dominant weight	weight multiplicity	length of W-orbit
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2	1120
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	6	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	12	112
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	42	1

Highest weight: [ 0, 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 6188

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	5	448
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	6	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	21	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	28	1

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 6528

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	1	1024
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	2	1792
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	4	448
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	8	16

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 5
Dimension: 6631

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	2	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	6	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	13	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	13	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	55	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,5
Dimension: 6783

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	2	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	2	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	14	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	14	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	63	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 3
Dimension: 8908

Level	dominant weight	weight multiplicity	length of W-orbit
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	3	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	19	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	20	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	76	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 5
Dimension: 8908

Level	dominant weight	weight multiplicity	length of W-orbit
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	3	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	19	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	20	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	76	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,3,5
Dimension: 9044

Level	dominant weight	weight multiplicity	length of W-orbit
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	1	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	3	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	20	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	21	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	84	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 17
Dimension: 11189

Level	dominant weight	weight multiplicity	length of W-orbit
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	2	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	1	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	2	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	3	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	14	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	21	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	21	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	85	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 19
Dimension: 11204

Level	dominant weight	weight multiplicity	length of W-orbit
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	2	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	1	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	2	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	3	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	15	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	21	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	21	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	84	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,17,19
Dimension: 11340

Level	dominant weight	weight multiplicity	length of W-orbit
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	2	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	1	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	2	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	3	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	15	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	22	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	22	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	92	1

Highest weight: [ 0, 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 12376

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 0, 0, 1, 0, 0, 0, 0, 0 ]	1	1792
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	4	1120
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	5	448
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	15	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	21	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	56	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 16779

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	7	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	8	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	6	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	7	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	33	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	27	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 23
Dimension: 18428

Level	dominant weight	weight multiplicity	length of W-orbit
81	[ 0, 0, 0, 0, 0, 0, 0, 5 ]	1	16
79	[ 0, 0, 0, 0, 0, 0, 1, 3 ]	1	224
77	[ 0, 0, 0, 0, 0, 0, 2, 1 ]	1	224
75	[ 0, 0, 0, 0, 0, 1, 0, 2 ]	1	1344
73	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
65	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	1	16
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	7	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	7	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	7	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	7	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	28	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	28	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 7
Dimension: 19363

Level	dominant weight	weight multiplicity	length of W-orbit
81	[ 0, 0, 0, 0, 0, 0, 0, 5 ]	1	16
79	[ 0, 0, 0, 0, 0, 0, 1, 3 ]	1	224
77	[ 0, 0, 0, 0, 0, 0, 2, 1 ]	1	224
75	[ 0, 0, 0, 0, 0, 1, 0, 2 ]	1	1344
73	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
65	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	1	16
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	8	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	8	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	8	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	8	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	8	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	35	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	35	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 19363

Level	dominant weight	weight multiplicity	length of W-orbit
79	[ 0, 0, 0, 0, 0, 0, 1, 3 ]	1	224
77	[ 0, 0, 0, 0, 0, 0, 2, 1 ]	1	224
75	[ 0, 0, 0, 0, 0, 1, 0, 2 ]	1	1344
73	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
65	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	1	16
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	8	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	8	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	8	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	8	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	8	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	36	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	35	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5,7,23
Dimension: 19380

Level	dominant weight	weight multiplicity	length of W-orbit
81	[ 0, 0, 0, 0, 0, 0, 0, 5 ]	1	16
79	[ 0, 0, 0, 0, 0, 0, 1, 3 ]	1	224
77	[ 0, 0, 0, 0, 0, 0, 2, 1 ]	1	224
75	[ 0, 0, 0, 0, 0, 1, 0, 2 ]	1	1344
73	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
65	[ 0, 0, 0, 0, 0, 0, 0, 4 ]	1	16
63	[ 0, 0, 0, 0, 0, 0, 1, 2 ]	1	224
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	1	1792
61	[ 0, 0, 0, 0, 0, 0, 2, 0 ]	1	112
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	1	1120
49	[ 0, 0, 0, 0, 0, 0, 0, 3 ]	8	16
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	8	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	8	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	8	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	8	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	36	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	36	1

Highest weight: [ 0, 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 19448

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	1	1024
67	[ 0, 0, 1, 0, 0, 0, 0, 0 ]	1	1792
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	3	1792
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	4	1120
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	10	448
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	15	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	35	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	56	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 2
Dimension: 21504

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	4	1792
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	4	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	18	448
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	56	16

Highest weight: [ 2, 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 ]	1	256
71	[ 0, 1, 0, 0, 0, 0, 0, 0 ]	1	1024
67	[ 0, 0, 1, 0, 0, 0, 0, 0 ]	2	1792
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	3	1792
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	6	1120
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	10	448
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	20	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	35	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	70	1

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 3
Dimension: 26368

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	1	7168
53	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	6	2048
37	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	27	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 5
Dimension: 26368

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	1	7168
53	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	6	2048
37	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	27	256

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 27404

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	3	1792
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	3	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	6	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	18	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	19	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	70	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	76	1

Highest weight: [ 1, 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, 1, 0 ]	1	7168
53	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	7	2048
37	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	34	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2,3,5
Dimension: 30464

Level	dominant weight	weight multiplicity	length of W-orbit
67	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	1	7168
53	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	7	2048
37	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	35	256

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 19
Dimension: 30720

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 1, 0, 0, 0, 0, 0, 0, 2 ]	1	2048
67	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	1	7168
53	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	7	2048
37	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	28	256

Highest weight: [ 0, 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 32352

Level	dominant weight	weight multiplicity	length of W-orbit
73	[ 0, 0, 0, 0, 0, 1, 1, 0 ]	1	1344
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	2	4480
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	4	1792
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	12	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	24	448
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	90	16

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 7
Dimension: 32912

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	4	1792
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	4	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	6	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	22	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	24	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	84	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	96	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: not 2,5,7
Dimension: 33592

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 0, 0, 0, 1, 0, 0, 1 ]	1	4480
61	[ 0, 0, 0, 1, 0, 0, 0, 0 ]	4	1792
59	[ 0, 0, 0, 0, 0, 1, 0, 1 ]	1	1344
53	[ 0, 0, 0, 0, 1, 0, 0, 0 ]	4	1120
47	[ 0, 0, 0, 0, 0, 0, 1, 1 ]	6	224
43	[ 0, 0, 0, 0, 0, 1, 0, 0 ]	23	448
33	[ 0, 0, 0, 0, 0, 0, 0, 2 ]	7	16
31	[ 0, 0, 0, 0, 0, 0, 1, 0 ]	25	112
17	[ 0, 0, 0, 0, 0, 0, 0, 1 ]	91	16
1	[ 0, 0, 0, 0, 0, 0, 0, 0 ]	104	1

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,19
Dimension: 34816

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 1, 0, 0, 0, 0, 0, 0, 2 ]	1	2048
67	[ 1, 0, 0, 0, 0, 0, 1, 0 ]	1	7168
53	[ 1, 0, 0, 0, 0, 0, 0, 1 ]	8	2048
37	[ 1, 0, 0, 0, 0, 0, 0, 0 ]	36	256