Weight Multiplicities

Groups of type B7, degree bound 15000

Diagram:

1 < 2 - .. - 7

Overview

Dimension	Highest weight	Characteristic
1	[ 0, 0, 0, 0, 0, 0, 0 ]	all
14	[ 0, 0, 0, 0, 0, 0, 1 ]	2
15	[ 0, 0, 0, 0, 0, 0, 1 ]	not 2
90	[ 0, 0, 0, 0, 0, 1, 0 ]	2
105	[ 0, 0, 0, 0, 0, 1, 0 ]	not 2
118	[ 0, 0, 0, 0, 0, 0, 2 ]	3
118	[ 0, 0, 0, 0, 0, 0, 2 ]	5
119	[ 0, 0, 0, 0, 0, 0, 2 ]	not 2, 3, 5
128	[ 1, 0, 0, 0, 0, 0, 0 ]	all
336	[ 0, 0, 0, 0, 1, 0, 0 ]	2
455	[ 0, 0, 0, 0, 1, 0, 0 ]	not 2
650	[ 0, 0, 0, 0, 0, 0, 3 ]	17
650	[ 0, 0, 0, 0, 0, 1, 1 ]	3
665	[ 0, 0, 0, 0, 0, 0, 3 ]	not 2, 3, 17
896	[ 0, 0, 0, 0, 0, 1, 1 ]	2
910	[ 0, 0, 0, 1, 0, 0, 0 ]	2
1090	[ 0, 0, 0, 0, 0, 1, 1 ]	7
1105	[ 0, 0, 0, 0, 0, 1, 1 ]	not 2, 3, 7
1288	[ 0, 0, 1, 0, 0, 0, 0 ]	2
1365	[ 0, 0, 0, 1, 0, 0, 0 ]	not 2
1664	[ 1, 0, 0, 0, 0, 0, 1 ]	3
1664	[ 1, 0, 0, 0, 0, 0, 1 ]	5
1792	[ 1, 0, 0, 0, 0, 0, 1 ]	not 3, 5
1912	[ 0, 1, 0, 0, 0, 0, 0 ]	2
2715	[ 0, 0, 0, 0, 0, 2, 0 ]	3
2821	[ 0, 0, 0, 0, 0, 0, 4 ]	19
2884	[ 0, 0, 0, 0, 1, 0, 1 ]	2
2939	[ 0, 0, 0, 0, 0, 0, 4 ]	17
2940	[ 0, 0, 0, 0, 0, 0, 4 ]	not 2, 3, 17, 19
3003	[ 0, 0, 1, 0, 0, 0, 0 ]	not 2
3961	[ 0, 0, 0, 0, 0, 2, 0 ]	13
4079	[ 0, 0, 0, 0, 0, 2, 0 ]	7
4080	[ 0, 0, 0, 0, 0, 2, 0 ]	not 2, 3, 7, 13
5005	[ 0, 1, 0, 0, 0, 0, 0 ]	not 2
5250	[ 0, 0, 0, 0, 1, 0, 1 ]	13
5355	[ 0, 0, 0, 0, 1, 0, 1 ]	not 2, 13
6435	[ 2, 0, 0, 0, 0, 0, 0 ]	not 2
6798	[ 0, 0, 0, 0, 0, 1, 2 ]	3
6798	[ 0, 0, 0, 0, 0, 1, 2 ]	5
6811	[ 0, 0, 0, 0, 0, 1, 2 ]	17
6916	[ 0, 0, 0, 0, 0, 1, 2 ]	not 2, 3, 5, 17
8513	[ 0, 0, 0, 0, 1, 1, 0 ]	3
9728	[ 1, 0, 0, 0, 0, 1, 0 ]	13
10283	[ 0, 0, 0, 0, 0, 0, 5 ]	7
10752	[ 0, 0, 0, 1, 0, 0, 1 ]	2
10933	[ 0, 0, 0, 0, 0, 0, 5 ]	19
10933	[ 0, 0, 0, 0, 0, 1, 3 ]	5
10948	[ 0, 0, 0, 0, 0, 0, 5 ]	not 2, 3, 5, 7, 19
11392	[ 1, 0, 0, 0, 0, 1, 0 ]	7
11520	[ 1, 0, 0, 0, 0, 1, 0 ]	not 7, 13
11648	[ 1, 0, 0, 0, 0, 0, 2 ]	17
13440	[ 1, 0, 0, 0, 0, 0, 2 ]	not 2, 17
14014	[ 0, 0, 0, 1, 0, 0, 1 ]	5
14208	[ 0, 0, 1, 0, 0, 0, 1 ]	2

The characters

Highest weight: [ 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 ]	1	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 14

Level	dominant weight	weight multiplicity	length of W-orbit
15	[ 0, 0, 0, 0, 0, 0, 1 ]	1	14

Highest weight: [ 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 2
Dimension: 15

Level	dominant weight	weight multiplicity	length of W-orbit
15	[ 0, 0, 0, 0, 0, 0, 1 ]	1	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	1	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 90

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 0, 0, 0, 0, 0, 1, 0 ]	1	84
1	[ 0, 0, 0, 0, 0, 0, 0 ]	6	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 2
Dimension: 105

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 0, 0, 0, 0, 0, 1, 0 ]	1	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	1	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	7	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 3
Dimension: 118

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 0, 0, 0, 0, 0, 0, 2 ]	1	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	1	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	1	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	6	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: 5
Dimension: 118

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 0, 0, 0, 0, 0, 0, 2 ]	1	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	1	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	1	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	6	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,3,5
Dimension: 119

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 0, 0, 0, 0, 0, 0, 2 ]	1	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	1	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	1	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	7	1

Highest weight: [ 1, 0, 0, 0, 0, 0, 0 ]
Characteristic: all
Dimension: 128

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 0, 0, 0, 0, 0, 0 ]	1	128

Highest weight: [ 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 336

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
15	[ 0, 0, 0, 0, 0, 0, 1 ]	4	14

Highest weight: [ 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2
Dimension: 455

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
27	[ 0, 0, 0, 0, 0, 1, 0 ]	1	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	6	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	7	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: 17
Dimension: 650

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 0, 0, 0, 0, 0, 0, 3 ]	1	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	1	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	1	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	6	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	6	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 650

Level	dominant weight	weight multiplicity	length of W-orbit
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	1	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	1	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	7	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	6	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3,17
Dimension: 665

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 0, 0, 0, 0, 0, 0, 3 ]	1	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	1	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	1	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	7	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	7	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 896

Level	dominant weight	weight multiplicity	length of W-orbit
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	2	280
15	[ 0, 0, 0, 0, 0, 0, 1 ]	12	14

Highest weight: [ 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 910

Level	dominant weight	weight multiplicity	length of W-orbit
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
27	[ 0, 0, 0, 0, 0, 1, 0 ]	4	84
1	[ 0, 0, 0, 0, 0, 0, 0 ]	14	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 7
Dimension: 1090

Level	dominant weight	weight multiplicity	length of W-orbit
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	2	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	1	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	2	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	12	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	12	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 2,3,7
Dimension: 1105

Level	dominant weight	weight multiplicity	length of W-orbit
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	2	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	1	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	2	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	13	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	13	1

Highest weight: [ 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 1288

Level	dominant weight	weight multiplicity	length of W-orbit
51	[ 0, 0, 1, 0, 0, 0, 0 ]	1	672
37	[ 0, 0, 0, 0, 1, 0, 0 ]	2	280
15	[ 0, 0, 0, 0, 0, 0, 1 ]	4	14

Highest weight: [ 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 2
Dimension: 1365

Level	dominant weight	weight multiplicity	length of W-orbit
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
27	[ 0, 0, 0, 0, 0, 1, 0 ]	5	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	6	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	21	1

Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: 3
Dimension: 1664

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 1, 0, 0, 0, 0, 0, 1 ]	1	896
29	[ 1, 0, 0, 0, 0, 0, 0 ]	6	128

Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: 5
Dimension: 1664

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 1, 0, 0, 0, 0, 0, 1 ]	1	896
29	[ 1, 0, 0, 0, 0, 0, 0 ]	6	128

Highest weight: [ 1, 0, 0, 0, 0, 0, 1 ]
Characteristic: not 3,5
Dimension: 1792

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 1, 0, 0, 0, 0, 0, 1 ]	1	896
29	[ 1, 0, 0, 0, 0, 0, 0 ]	7	128

Highest weight: [ 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 1912

Level	dominant weight	weight multiplicity	length of W-orbit
55	[ 0, 1, 0, 0, 0, 0, 0 ]	1	448
45	[ 0, 0, 0, 1, 0, 0, 0 ]	2	560
27	[ 0, 0, 0, 0, 0, 1, 0 ]	4	84
1	[ 0, 0, 0, 0, 0, 0, 0 ]	8	1

Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 3
Dimension: 2715

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	6	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	7	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	6	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	27	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 19
Dimension: 2821

Level	dominant weight	weight multiplicity	length of W-orbit
57	[ 0, 0, 0, 0, 0, 0, 4 ]	1	14
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	1	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	6	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	6	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	6	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	21	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 2884

Level	dominant weight	weight multiplicity	length of W-orbit
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	2	560
29	[ 0, 0, 0, 0, 0, 0, 2 ]	4	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	10	84
1	[ 0, 0, 0, 0, 0, 0, 0 ]	28	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: 17
Dimension: 2939

Level	dominant weight	weight multiplicity	length of W-orbit
57	[ 0, 0, 0, 0, 0, 0, 4 ]	1	14
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	1	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	7	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	7	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	7	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	27	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 4 ]
Characteristic: not 2,3,17,19
Dimension: 2940

Level	dominant weight	weight multiplicity	length of W-orbit
57	[ 0, 0, 0, 0, 0, 0, 4 ]	1	14
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	1	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	1	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	7	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	7	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	7	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	28	1

Highest weight: [ 0, 0, 1, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 3003

Level	dominant weight	weight multiplicity	length of W-orbit
51	[ 0, 0, 1, 0, 0, 0, 0 ]	1	672
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
37	[ 0, 0, 0, 0, 1, 0, 0 ]	4	280
27	[ 0, 0, 0, 0, 0, 1, 0 ]	5	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	15	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	21	1

Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 13
Dimension: 3961

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	2	560
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	2	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	5	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	11	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	11	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	41	1

Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: 7
Dimension: 4079

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	2	560
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	2	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	6	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	12	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	12	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	47	1

Highest weight: [ 0, 0, 0, 0, 0, 2, 0 ]
Characteristic: not 2,3,7,13
Dimension: 4080

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	2	560
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	2	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	6	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	12	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	12	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	48	1

Highest weight: [ 0, 1, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 5005

Level	dominant weight	weight multiplicity	length of W-orbit
55	[ 0, 1, 0, 0, 0, 0, 0 ]	1	448
51	[ 0, 0, 1, 0, 0, 0, 0 ]	1	672
45	[ 0, 0, 0, 1, 0, 0, 0 ]	3	560
37	[ 0, 0, 0, 0, 1, 0, 0 ]	4	280
27	[ 0, 0, 0, 0, 0, 1, 0 ]	10	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	15	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	35	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: 13
Dimension: 5250

Level	dominant weight	weight multiplicity	length of W-orbit
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	3	560
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	3	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	6	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	16	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	17	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	56	1

Highest weight: [ 0, 0, 0, 0, 1, 0, 1 ]
Characteristic: not 2,13
Dimension: 5355

Level	dominant weight	weight multiplicity	length of W-orbit
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	3	560
41	[ 0, 0, 0, 0, 0, 1, 1 ]	1	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	3	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	6	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	17	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	18	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	63	1

Highest weight: [ 2, 0, 0, 0, 0, 0, 0 ]
Characteristic: not 2
Dimension: 6435

Level	dominant weight	weight multiplicity	length of W-orbit
57	[ 2, 0, 0, 0, 0, 0, 0 ]	1	128
55	[ 0, 1, 0, 0, 0, 0, 0 ]	1	448
51	[ 0, 0, 1, 0, 0, 0, 0 ]	2	672
45	[ 0, 0, 0, 1, 0, 0, 0 ]	3	560
37	[ 0, 0, 0, 0, 1, 0, 0 ]	6	280
27	[ 0, 0, 0, 0, 0, 1, 0 ]	10	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	20	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	35	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 3
Dimension: 6798

Level	dominant weight	weight multiplicity	length of W-orbit
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	2	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	3	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	1	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	2	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	3	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	12	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	18	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	18	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	64	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 5
Dimension: 6798

Level	dominant weight	weight multiplicity	length of W-orbit
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	2	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	3	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	1	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	2	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	3	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	12	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	18	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	18	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	64	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: 17
Dimension: 6811

Level	dominant weight	weight multiplicity	length of W-orbit
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	2	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	3	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	1	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	2	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	3	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	13	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	18	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	18	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	63	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 2 ]
Characteristic: not 2,3,5,17
Dimension: 6916

Level	dominant weight	weight multiplicity	length of W-orbit
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 0, 0, 1, 0, 1 ]	2	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	3	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	1	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	2	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	3	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	13	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	19	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	19	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	70	1

Highest weight: [ 0, 0, 0, 0, 1, 1, 0 ]
Characteristic: 3
Dimension: 8513

Level	dominant weight	weight multiplicity	length of W-orbit
63	[ 0, 0, 0, 0, 1, 1, 0 ]	1	840
59	[ 0, 0, 0, 1, 0, 0, 1 ]	1	2240
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 1, 0, 0, 0, 0 ]	1	672
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
41	[ 0, 0, 0, 0, 0, 1, 1 ]	5	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	6	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	4	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	5	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	19	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	15	1

Highest weight: [ 1, 0, 0, 0, 0, 1, 0 ]
Characteristic: 13
Dimension: 9728

Level	dominant weight	weight multiplicity	length of W-orbit
55	[ 1, 0, 0, 0, 0, 1, 0 ]	1	2688
43	[ 1, 0, 0, 0, 0, 0, 1 ]	5	896
29	[ 1, 0, 0, 0, 0, 0, 0 ]	20	128

Highest weight: [ 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 7
Dimension: 10283

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 0, 0, 0, 0, 0, 5 ]	1	14
69	[ 0, 0, 0, 0, 0, 1, 3 ]	1	168
67	[ 0, 0, 0, 0, 0, 2, 1 ]	1	168
65	[ 0, 0, 0, 0, 1, 0, 2 ]	1	840
63	[ 0, 0, 0, 0, 1, 1, 0 ]	1	840
59	[ 0, 0, 0, 1, 0, 0, 1 ]	1	2240
57	[ 0, 0, 0, 0, 0, 0, 4 ]	1	14
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 1, 0, 0, 0, 0 ]	1	672
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	6	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	6	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	6	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	6	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	6	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	21	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	21	1

Highest weight: [ 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 2
Dimension: 10752

Level	dominant weight	weight multiplicity	length of W-orbit
59	[ 0, 0, 0, 1, 0, 0, 1 ]	1	2240
51	[ 0, 0, 1, 0, 0, 0, 0 ]	4	672
41	[ 0, 0, 0, 0, 0, 1, 1 ]	4	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	16	280
15	[ 0, 0, 0, 0, 0, 0, 1 ]	48	14

Highest weight: [ 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: 19
Dimension: 10933

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 0, 0, 0, 0, 0, 5 ]	1	14
69	[ 0, 0, 0, 0, 0, 1, 3 ]	1	168
67	[ 0, 0, 0, 0, 0, 2, 1 ]	1	168
65	[ 0, 0, 0, 0, 1, 0, 2 ]	1	840
63	[ 0, 0, 0, 0, 1, 1, 0 ]	1	840
59	[ 0, 0, 0, 1, 0, 0, 1 ]	1	2240
57	[ 0, 0, 0, 0, 0, 0, 4 ]	1	14
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 1, 0, 0, 0, 0 ]	1	672
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	7	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	7	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	7	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	7	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	7	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	27	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	27	1

Highest weight: [ 0, 0, 0, 0, 0, 1, 3 ]
Characteristic: 5
Dimension: 10933

Level	dominant weight	weight multiplicity	length of W-orbit
69	[ 0, 0, 0, 0, 0, 1, 3 ]	1	168
67	[ 0, 0, 0, 0, 0, 2, 1 ]	1	168
65	[ 0, 0, 0, 0, 1, 0, 2 ]	1	840
63	[ 0, 0, 0, 0, 1, 1, 0 ]	1	840
59	[ 0, 0, 0, 1, 0, 0, 1 ]	1	2240
57	[ 0, 0, 0, 0, 0, 0, 4 ]	1	14
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 1, 0, 0, 0, 0 ]	1	672
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	7	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	7	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	7	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	7	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	7	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	28	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	27	1

Highest weight: [ 0, 0, 0, 0, 0, 0, 5 ]
Characteristic: not 2,3,5,7,19
Dimension: 10948

Level	dominant weight	weight multiplicity	length of W-orbit
71	[ 0, 0, 0, 0, 0, 0, 5 ]	1	14
69	[ 0, 0, 0, 0, 0, 1, 3 ]	1	168
67	[ 0, 0, 0, 0, 0, 2, 1 ]	1	168
65	[ 0, 0, 0, 0, 1, 0, 2 ]	1	840
63	[ 0, 0, 0, 0, 1, 1, 0 ]	1	840
59	[ 0, 0, 0, 1, 0, 0, 1 ]	1	2240
57	[ 0, 0, 0, 0, 0, 0, 4 ]	1	14
55	[ 0, 0, 0, 0, 0, 1, 2 ]	1	168
53	[ 0, 0, 0, 0, 0, 2, 0 ]	1	84
51	[ 0, 0, 1, 0, 0, 0, 0 ]	1	672
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	1	560
43	[ 0, 0, 0, 0, 0, 0, 3 ]	7	14
41	[ 0, 0, 0, 0, 0, 1, 1 ]	7	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	7	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	7	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	7	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	28	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	28	1

Highest weight: [ 1, 0, 0, 0, 0, 1, 0 ]
Characteristic: 7
Dimension: 11392

Level	dominant weight	weight multiplicity	length of W-orbit
55	[ 1, 0, 0, 0, 0, 1, 0 ]	1	2688
43	[ 1, 0, 0, 0, 0, 0, 1 ]	6	896
29	[ 1, 0, 0, 0, 0, 0, 0 ]	26	128

Highest weight: [ 1, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 7,13
Dimension: 11520

Level	dominant weight	weight multiplicity	length of W-orbit
55	[ 1, 0, 0, 0, 0, 1, 0 ]	1	2688
43	[ 1, 0, 0, 0, 0, 0, 1 ]	6	896
29	[ 1, 0, 0, 0, 0, 0, 0 ]	27	128

Highest weight: [ 1, 0, 0, 0, 0, 0, 2 ]
Characteristic: 17
Dimension: 11648

Level	dominant weight	weight multiplicity	length of W-orbit
57	[ 1, 0, 0, 0, 0, 0, 2 ]	1	896
55	[ 1, 0, 0, 0, 0, 1, 0 ]	1	2688
43	[ 1, 0, 0, 0, 0, 0, 1 ]	6	896
29	[ 1, 0, 0, 0, 0, 0, 0 ]	21	128

Highest weight: [ 1, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2,17
Dimension: 13440

Level	dominant weight	weight multiplicity	length of W-orbit
57	[ 1, 0, 0, 0, 0, 0, 2 ]	1	896
55	[ 1, 0, 0, 0, 0, 1, 0 ]	1	2688
43	[ 1, 0, 0, 0, 0, 0, 1 ]	7	896
29	[ 1, 0, 0, 0, 0, 0, 0 ]	28	128

Highest weight: [ 0, 0, 0, 1, 0, 0, 1 ]
Characteristic: 5
Dimension: 14014

Level	dominant weight	weight multiplicity	length of W-orbit
59	[ 0, 0, 0, 1, 0, 0, 1 ]	1	2240
51	[ 0, 0, 1, 0, 0, 0, 0 ]	3	672
51	[ 0, 0, 0, 0, 1, 0, 1 ]	1	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	3	560
41	[ 0, 0, 0, 0, 0, 1, 1 ]	5	168
37	[ 0, 0, 0, 0, 1, 0, 0 ]	15	280
29	[ 0, 0, 0, 0, 0, 0, 2 ]	6	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	16	84
15	[ 0, 0, 0, 0, 0, 0, 1 ]	51	14
1	[ 0, 0, 0, 0, 0, 0, 0 ]	56	1

Highest weight: [ 0, 0, 1, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 14208

Level	dominant weight	weight multiplicity	length of W-orbit
65	[ 0, 0, 1, 0, 0, 0, 1 ]	1	3360
55	[ 0, 1, 0, 0, 0, 0, 0 ]	4	448
51	[ 0, 0, 0, 0, 1, 0, 1 ]	2	840
45	[ 0, 0, 0, 1, 0, 0, 0 ]	10	560
29	[ 0, 0, 0, 0, 0, 0, 2 ]	4	14
27	[ 0, 0, 0, 0, 0, 1, 0 ]	20	84
1	[ 0, 0, 0, 0, 0, 0, 0 ]	40	1