Weight Multiplicities

Groups of type D5, characteristic 2, all 2-restricted weights

Diagram:

For highest weights starting with [ 1, 0, ... ] lookup the corresponding one starting with [ 0, 1, ... ] and interchange the first two coordinates everywhere.

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

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

Highest weight: [ 0, 0, 0, 0, 1 ]
Characteristic: 2
Dimension: 10

Level	dominant weight	weight multiplicity	length of W-orbit
9	[ 0, 0, 0, 0, 1 ]	1	10

Highest weight: [ 0, 0, 0, 1, 0 ]
Characteristic: 2
Dimension: 44

Level	dominant weight	weight multiplicity	length of W-orbit
15	[ 0, 0, 0, 1, 0 ]	1	40
1	[ 0, 0, 0, 0, 0 ]	4	1

Highest weight: [ 0, 0, 0, 1, 1 ]
Characteristic: 2
Dimension: 320

Level	dominant weight	weight multiplicity	length of W-orbit
23	[ 0, 0, 0, 1, 1 ]	1	80
19	[ 0, 0, 1, 0, 0 ]	2	80
9	[ 0, 0, 0, 0, 1 ]	8	10

Highest weight: [ 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 100

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 0, 0, 1, 0, 0 ]	1	80
9	[ 0, 0, 0, 0, 1 ]	2	10

Highest weight: [ 0, 0, 1, 0, 1 ]
Characteristic: 2
Dimension: 670

Level	dominant weight	weight multiplicity	length of W-orbit
27	[ 0, 0, 1, 0, 1 ]	1	240
21	[ 1, 1, 0, 0, 0 ]	2	80
17	[ 0, 0, 0, 0, 2 ]	2	10
15	[ 0, 0, 0, 1, 0 ]	6	40
1	[ 0, 0, 0, 0, 0 ]	10	1

Highest weight: [ 0, 0, 1, 1, 0 ]
Characteristic: 2
Dimension: 2708

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 0, 1, 1, 0 ]	1	240
29	[ 1, 1, 0, 0, 1 ]	2	320
23	[ 0, 0, 0, 1, 1 ]	6	80
21	[ 2, 0, 0, 0, 0 ]	4	16
21	[ 0, 2, 0, 0, 0 ]	4	16
19	[ 0, 0, 1, 0, 0 ]	12	80
9	[ 0, 0, 0, 0, 1 ]	26	10

Highest weight: [ 0, 0, 1, 1, 1 ]
Characteristic: 2
Dimension: 17920

Level	dominant weight	weight multiplicity	length of W-orbit
41	[ 0, 0, 1, 1, 1 ]	1	480
37	[ 1, 1, 0, 0, 2 ]	2	320
37	[ 0, 0, 2, 0, 0 ]	2	80
35	[ 1, 1, 0, 1, 0 ]	4	480
31	[ 0, 0, 0, 1, 2 ]	6	80
29	[ 2, 0, 0, 0, 1 ]	8	80
29	[ 0, 2, 0, 0, 1 ]	8	80
29	[ 0, 0, 0, 2, 0 ]	12	40
27	[ 0, 0, 1, 0, 1 ]	22	240
21	[ 1, 1, 0, 0, 0 ]	40	80
17	[ 0, 0, 0, 0, 2 ]	48	10
15	[ 0, 0, 0, 1, 0 ]	84	40
1	[ 0, 0, 0, 0, 0 ]	160	1

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

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

Highest weight: [ 0, 1, 0, 0, 1 ]
Characteristic: 2
Dimension: 144

Level	dominant weight	weight multiplicity	length of W-orbit
19	[ 0, 1, 0, 0, 1 ]	1	80
11	[ 1, 0, 0, 0, 0 ]	4	16

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

Level	dominant weight	weight multiplicity	length of W-orbit
25	[ 0, 1, 0, 1, 0 ]	1	160
19	[ 1, 0, 0, 0, 1 ]	2	80
11	[ 0, 1, 0, 0, 0 ]	6	16

Highest weight: [ 0, 1, 0, 1, 1 ]
Characteristic: 2
Dimension: 2976

Level	dominant weight	weight multiplicity	length of W-orbit
33	[ 0, 1, 0, 1, 1 ]	1	320
29	[ 0, 1, 1, 0, 0 ]	2	160
27	[ 1, 0, 0, 0, 2 ]	2	80
25	[ 1, 0, 0, 1, 0 ]	5	160
19	[ 0, 1, 0, 0, 1 ]	12	80
11	[ 1, 0, 0, 0, 0 ]	26	16

Highest weight: [ 0, 1, 1, 0, 0 ]
Characteristic: 2
Dimension: 1184

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 0, 1, 1, 0, 0 ]	1	160
25	[ 1, 0, 0, 1, 0 ]	2	160
19	[ 0, 1, 0, 0, 1 ]	6	80
11	[ 1, 0, 0, 0, 0 ]	14	16

Highest weight: [ 0, 1, 1, 0, 1 ]
Characteristic: 2
Dimension: 7328

Level	dominant weight	weight multiplicity	length of W-orbit
37	[ 0, 1, 1, 0, 1 ]	1	480
33	[ 1, 0, 0, 1, 1 ]	2	320
31	[ 1, 2, 0, 0, 0 ]	2	80
29	[ 1, 0, 1, 0, 0 ]	5	160
27	[ 0, 1, 0, 0, 2 ]	6	80
25	[ 0, 1, 0, 1, 0 ]	12	160
19	[ 1, 0, 0, 0, 1 ]	26	80
11	[ 0, 1, 0, 0, 0 ]	48	16

Highest weight: [ 0, 1, 1, 1, 0 ]
Characteristic: 2
Dimension: 20832

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 0, 1, 1, 1, 0 ]	1	480
39	[ 1, 2, 0, 0, 1 ]	2	320
39	[ 1, 0, 0, 2, 0 ]	2	160
37	[ 1, 0, 1, 0, 1 ]	4	480
33	[ 0, 1, 0, 1, 1 ]	8	320
31	[ 2, 1, 0, 0, 0 ]	8	80
31	[ 0, 3, 0, 0, 0 ]	4	16
29	[ 0, 1, 1, 0, 0 ]	17	160
27	[ 1, 0, 0, 0, 2 ]	14	80
25	[ 1, 0, 0, 1, 0 ]	30	160
19	[ 0, 1, 0, 0, 1 ]	52	80
11	[ 1, 0, 0, 0, 0 ]	88	16

Highest weight: [ 0, 1, 1, 1, 1 ]
Characteristic: 2
Dimension: 127584

Level	dominant weight	weight multiplicity	length of W-orbit
51	[ 0, 1, 1, 1, 1 ]	1	960
47	[ 1, 2, 0, 0, 2 ]	2	320
47	[ 1, 0, 0, 2, 1 ]	2	320
47	[ 0, 1, 2, 0, 0 ]	2	160
45	[ 1, 2, 0, 1, 0 ]	4	480
45	[ 1, 0, 1, 0, 2 ]	4	480
43	[ 1, 0, 1, 1, 0 ]	8	480
41	[ 0, 1, 0, 1, 2 ]	8	320
39	[ 2, 1, 0, 0, 1 ]	14	320
39	[ 0, 3, 0, 0, 1 ]	8	80
39	[ 0, 1, 0, 2, 0 ]	17	160
37	[ 0, 1, 1, 0, 1 ]	30	480
35	[ 1, 0, 0, 0, 3 ]	14	80
33	[ 1, 0, 0, 1, 1 ]	52	320
31	[ 3, 0, 0, 0, 0 ]	24	16
31	[ 1, 2, 0, 0, 0 ]	52	80
29	[ 1, 0, 1, 0, 0 ]	88	160
27	[ 0, 1, 0, 0, 2 ]	88	80
25	[ 0, 1, 0, 1, 0 ]	149	160
19	[ 1, 0, 0, 0, 1 ]	240	80
11	[ 0, 1, 0, 0, 0 ]	380	16

Highest weight: [ 1, 1, 0, 0, 0 ]
Characteristic: 2
Dimension: 164

Level	dominant weight	weight multiplicity	length of W-orbit
21	[ 1, 1, 0, 0, 0 ]	1	80
15	[ 0, 0, 0, 1, 0 ]	2	40
1	[ 0, 0, 0, 0, 0 ]	4	1

Highest weight: [ 1, 1, 0, 0, 1 ]
Characteristic: 2
Dimension: 1408

Level	dominant weight	weight multiplicity	length of W-orbit
29	[ 1, 1, 0, 0, 1 ]	1	320
23	[ 0, 0, 0, 1, 1 ]	2	80
21	[ 2, 0, 0, 0, 0 ]	4	16
21	[ 0, 2, 0, 0, 0 ]	4	16
19	[ 0, 0, 1, 0, 0 ]	8	80
9	[ 0, 0, 0, 0, 1 ]	16	10

Highest weight: [ 1, 1, 0, 1, 0 ]
Characteristic: 2
Dimension: 3124

Level	dominant weight	weight multiplicity	length of W-orbit
35	[ 1, 1, 0, 1, 0 ]	1	480
29	[ 2, 0, 0, 0, 1 ]	2	80
29	[ 0, 2, 0, 0, 1 ]	2	80
29	[ 0, 0, 0, 2, 0 ]	2	40
27	[ 0, 0, 1, 0, 1 ]	4	240
21	[ 1, 1, 0, 0, 0 ]	8	80
17	[ 0, 0, 0, 0, 2 ]	6	10
15	[ 0, 0, 0, 1, 0 ]	14	40
1	[ 0, 0, 0, 0, 0 ]	24	1

Highest weight: [ 1, 1, 0, 1, 1 ]
Characteristic: 2
Dimension: 22408

Level	dominant weight	weight multiplicity	length of W-orbit
43	[ 1, 1, 0, 1, 1 ]	1	960
39	[ 1, 1, 1, 0, 0 ]	2	320
37	[ 2, 0, 0, 0, 2 ]	2	80
37	[ 0, 2, 0, 0, 2 ]	2	80
37	[ 0, 0, 0, 2, 1 ]	2	80
35	[ 2, 0, 0, 1, 0 ]	5	160
35	[ 0, 2, 0, 1, 0 ]	5	160
35	[ 0, 0, 1, 0, 2 ]	4	240
33	[ 0, 0, 1, 1, 0 ]	10	240
29	[ 1, 1, 0, 0, 1 ]	19	320
25	[ 0, 0, 0, 0, 3 ]	6	10
23	[ 0, 0, 0, 1, 1 ]	32	80
21	[ 2, 0, 0, 0, 0 ]	34	16
21	[ 0, 2, 0, 0, 0 ]	34	16
19	[ 0, 0, 1, 0, 0 ]	58	80
9	[ 0, 0, 0, 0, 1 ]	94	10

Highest weight: [ 1, 1, 1, 0, 0 ]
Characteristic: 2
Dimension: 8832

Level	dominant weight	weight multiplicity	length of W-orbit
39	[ 1, 1, 1, 0, 0 ]	1	320
35	[ 2, 0, 0, 1, 0 ]	2	160
35	[ 0, 2, 0, 1, 0 ]	2	160
33	[ 0, 0, 1, 1, 0 ]	4	240
29	[ 1, 1, 0, 0, 1 ]	8	320
23	[ 0, 0, 0, 1, 1 ]	14	80
21	[ 2, 0, 0, 0, 0 ]	16	16
21	[ 0, 2, 0, 0, 0 ]	16	16
19	[ 0, 0, 1, 0, 0 ]	28	80
9	[ 0, 0, 0, 0, 1 ]	48	10

Highest weight: [ 1, 1, 1, 0, 1 ]
Characteristic: 2
Dimension: 52710

Level	dominant weight	weight multiplicity	length of W-orbit
47	[ 1, 1, 1, 0, 1 ]	1	960
43	[ 2, 0, 0, 1, 1 ]	2	320
43	[ 0, 2, 0, 1, 1 ]	2	320
41	[ 2, 2, 0, 0, 0 ]	2	80
41	[ 0, 0, 1, 1, 1 ]	4	480
39	[ 2, 0, 1, 0, 0 ]	5	160
39	[ 0, 2, 1, 0, 0 ]	5	160
37	[ 1, 1, 0, 0, 2 ]	8	320
37	[ 0, 0, 2, 0, 0 ]	10	80
35	[ 1, 1, 0, 1, 0 ]	18	480
31	[ 0, 0, 0, 1, 2 ]	14	80
29	[ 2, 0, 0, 0, 1 ]	32	80
29	[ 0, 2, 0, 0, 1 ]	32	80
29	[ 0, 0, 0, 2, 0 ]	30	40
27	[ 0, 0, 1, 0, 1 ]	54	240
21	[ 1, 1, 0, 0, 0 ]	92	80
17	[ 0, 0, 0, 0, 2 ]	88	10
15	[ 0, 0, 0, 1, 0 ]	148	40
1	[ 0, 0, 0, 0, 0 ]	230	1

Highest weight: [ 1, 1, 1, 1, 0 ]
Characteristic: 2
Dimension: 183040

Level	dominant weight	weight multiplicity	length of W-orbit
53	[ 1, 1, 1, 1, 0 ]	1	960
49	[ 2, 2, 0, 0, 1 ]	2	320
49	[ 2, 0, 0, 2, 0 ]	2	160
49	[ 0, 2, 0, 2, 0 ]	2	160
47	[ 2, 0, 1, 0, 1 ]	4	480
47	[ 0, 2, 1, 0, 1 ]	4	480
47	[ 0, 0, 1, 2, 0 ]	4	240
45	[ 0, 0, 2, 0, 1 ]	8	240
43	[ 1, 1, 0, 1, 1 ]	14	960
41	[ 3, 1, 0, 0, 0 ]	8	80
41	[ 1, 3, 0, 0, 0 ]	8	80
39	[ 1, 1, 1, 0, 0 ]	28	320
37	[ 2, 0, 0, 0, 2 ]	24	80
37	[ 0, 2, 0, 0, 2 ]	24	80
37	[ 0, 0, 0, 2, 1 ]	24	80
35	[ 2, 0, 0, 1, 0 ]	48	160
35	[ 0, 2, 0, 1, 0 ]	48	160
35	[ 0, 0, 1, 0, 2 ]	40	240
33	[ 0, 0, 1, 1, 0 ]	80	240
29	[ 1, 1, 0, 0, 1 ]	133	320
25	[ 0, 0, 0, 0, 3 ]	64	10
23	[ 0, 0, 0, 1, 1 ]	212	80
21	[ 2, 0, 0, 0, 0 ]	220	16
21	[ 0, 2, 0, 0, 0 ]	220	16
19	[ 0, 0, 1, 0, 0 ]	348	80
9	[ 0, 0, 0, 0, 1 ]	544	10

Highest weight: [ 1, 1, 1, 1, 1 ]
Characteristic: 2
Dimension: 1048576

Level	dominant weight	weight multiplicity	length of W-orbit
61	[ 1, 1, 1, 1, 1 ]	1	1920
57	[ 2, 2, 0, 0, 2 ]	2	320
57	[ 2, 0, 0, 2, 1 ]	2	320
57	[ 1, 1, 2, 0, 0 ]	2	320
57	[ 0, 2, 0, 2, 1 ]	2	320
55	[ 2, 2, 0, 1, 0 ]	4	480
55	[ 2, 0, 1, 0, 2 ]	4	480
55	[ 0, 2, 1, 0, 2 ]	4	480
55	[ 0, 0, 1, 2, 1 ]	4	480
53	[ 2, 0, 1, 1, 0 ]	8	480
53	[ 0, 2, 1, 1, 0 ]	8	480
53	[ 0, 0, 2, 0, 2 ]	8	240
51	[ 1, 1, 0, 1, 2 ]	14	960
51	[ 0, 0, 2, 1, 0 ]	16	240
49	[ 3, 1, 0, 0, 1 ]	14	320
49	[ 1, 3, 0, 0, 1 ]	14	320
49	[ 1, 1, 0, 2, 0 ]	28	480
47	[ 1, 1, 1, 0, 1 ]	48	960
45	[ 2, 0, 0, 0, 3 ]	24	80
45	[ 0, 2, 0, 0, 3 ]	24	80
45	[ 0, 0, 0, 2, 2 ]	24	80
43	[ 2, 0, 0, 1, 1 ]	80	320
43	[ 0, 2, 0, 1, 1 ]	80	320
43	[ 0, 0, 1, 0, 3 ]	40	240
43	[ 0, 0, 0, 3, 0 ]	48	40
41	[ 4, 0, 0, 0, 0 ]	24	16
41	[ 0, 4, 0, 0, 0 ]	24	16
41	[ 2, 2, 0, 0, 0 ]	80	80
41	[ 0, 0, 1, 1, 1 ]	132	480
39	[ 2, 0, 1, 0, 0 ]	132	160
39	[ 0, 2, 1, 0, 0 ]	132	160
37	[ 1, 1, 0, 0, 2 ]	210	320
37	[ 0, 0, 2, 0, 0 ]	216	80
35	[ 1, 1, 0, 1, 0 ]	340	480
33	[ 0, 0, 0, 0, 4 ]	64	10
31	[ 0, 0, 0, 1, 2 ]	328	80
29	[ 2, 0, 0, 0, 1 ]	528	80
29	[ 0, 2, 0, 0, 1 ]	528	80
29	[ 0, 0, 0, 2, 0 ]	528	40
27	[ 0, 0, 1, 0, 1 ]	808	240
21	[ 1, 1, 0, 0, 0 ]	1224	80
17	[ 0, 0, 0, 0, 2 ]	1216	10
15	[ 0, 0, 0, 1, 0 ]	1824	40
1	[ 0, 0, 0, 0, 0 ]	2688	1