[Overview]

Weight Multiplicities

Groups of type C11, degree bound 12000

Diagram:

1 > o - .. - 11

Overview

DimensionHighest weightCharacteristic
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]all
22[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]all
229[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]11
230[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]not 11
253[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]not 2
1496[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]2
1496[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]5
1518[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]not 2, 5
2002[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]3
2024[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3 ]not 2, 3
2048[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]2
3498[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]23
3520[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]not 3, 23
6854[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]3
7083[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]5
7084[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]not 3, 5

The characters

Highest weight: [ 0, 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, 0 ]11

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
Characteristic: all
Dimension: 22

Level   dominant weight   weight multiplicity   length of W-orbit 
22[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]122

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: 11
Dimension: 229

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1220
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]91

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
Characteristic: not 11
Dimension: 230

Level   dominant weight   weight multiplicity   length of W-orbit 
41[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1220
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]101

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]
Characteristic: not 2
Dimension: 253

Level   dominant weight   weight multiplicity   length of W-orbit 
43[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ]122
41[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]1220
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]111

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 2
Dimension: 1496

Level   dominant weight   weight multiplicity   length of W-orbit 
58[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]11320
22[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]822

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: 5
Dimension: 1496

Level   dominant weight   weight multiplicity   length of W-orbit 
58[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]11320
22[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]822

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
Characteristic: not 2,5
Dimension: 1518

Level   dominant weight   weight multiplicity   length of W-orbit 
58[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]11320
22[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]922

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 3
Dimension: 2002

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1440
58[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]11320
22[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1122

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3 ]
Characteristic: not 2,3
Dimension: 2024

Level   dominant weight   weight multiplicity   length of W-orbit 
64[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3 ]122
62[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1440
58[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]11320
22[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1122

Highest weight: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
Characteristic: 2
Dimension: 2048

Level   dominant weight   weight multiplicity   length of W-orbit 
122[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]12048

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: 23
Dimension: 3498

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1440
58[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]21320
22[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]1922

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
Characteristic: not 3,23
Dimension: 3520

Level   dominant weight   weight multiplicity   length of W-orbit 
62[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]1440
58[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]21320
22[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]2022

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 3
Dimension: 6854

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]15280
41[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]7220
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]341

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: 5
Dimension: 7083

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]15280
41[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8220
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]431

Highest weight: [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
Characteristic: not 3,5
Dimension: 7084

Level   dominant weight   weight multiplicity   length of W-orbit 
73[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]15280
41[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]8220
1[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]441