Current Betti Table Entry:
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0 |
(2,0,0) |
(7,1,0) |
(12,1,1) |
(16,3,1) |
(20,4,2) |
(24,4,4) |
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1 |
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(17,9,0) |
(22,9,1) |
(26,10,2) |
(30,10,4) |
(33,12,5) |
(36,13,7) |
(39,13,10) |
(41,17,10) |
(43,20,11) |
(45,22,13) |
(47,23,16) |
(49,23,20) |
(50,28,20) |
(51,32,21) |
(52,35,23) |
(53,37,26) |
(54,38,30) |
(55,38,35) |
(55,43,36) |
(55,47,38) |
(55,50,41) |
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2 |
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(54,54,44) |
(55,54,49) |
(55,55,54) |
\(\lambda=(55,47,44)\)
- Multiplicity: 1
- Dimension: 234
- Dominant: No
\(\lambda=(55,48,43)\)
- Multiplicity: 1
- Dimension: 336
- Dominant: No
\(\lambda=(55,50,41)\)
- Multiplicity: 1
- Dimension: 480
- Dominant: Yes
\(\textbf{a}=(42,49,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,47,52)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,53,45)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,51,42)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,55,48)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,45,49)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,42,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,50,51)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,46,45)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,54,41)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,48,48)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,54)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,43,51)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,53,50)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,49,44)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,51,47)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,48,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,52,43)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,54,46)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,44,47)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,46,50)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,41,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,51,52)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,47,46)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,55,42)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,49,49)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,46,55)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,44,52)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,54,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,50,45)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,52,48)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,42,49)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,49,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,47,51)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,53,44)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,51,41)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,55,47)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,45,48)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,42,54)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,52,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,50,50)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,48,47)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,45,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,51,46)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,49,43)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,53,49)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,43,50)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,48,52)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,54,45)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,52,42)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,46,49)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,55)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,41,52)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,51,51)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,47,45)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,55,41)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,49,48)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,46,54)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,44,51)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,54,50)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,50,44)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,52,47)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,53)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,47,50)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,53,43)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,55,46)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,45,47)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,42,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,52,52)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,48,46)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,50,49)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,47,55)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,45,52)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,51,45)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,49,42)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,53,48)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,43,49)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,50,54)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,48,51)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,54,44)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,52,41)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,46,48)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,43,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,41,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,51,50)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,47,44)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,49,47)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,46,53)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,52,46)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,50,43)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,54,49)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,44,50)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,49,52)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,45,46)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,55,45)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,53,42)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,47,49)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,44,55)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,42,52)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,52,51)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,48,45)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,50,48)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,47,54)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,45,51)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,55,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,51,44)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,53,47)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,43,48)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,50,53)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,48,50)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,54,43)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,46,47)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,43,53)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,53,52)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,49,46)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,51,49)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,41,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,55)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,46,52)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,52,45)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,50,42)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,54,48)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,44,49)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,51,54)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,49,51)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,55,44)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,53,41)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,47,48)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,44,54)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,42,51)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,52,50)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,48,44)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,50,47)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,47,53)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,51,43)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,53,46)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,55,49)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,45,50)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,50,52)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,46,46)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,54,42)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,48,49)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,45,55)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,43,52)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,53,51)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,49,45)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,51,48)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,48,54)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,46,51)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,52,44)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,50,41)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,54,47)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,44,48)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,41,54)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,51,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,49,50)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,55,43)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,47,47)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,44,53)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,50,46)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,48,43)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,52,49)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,42,50)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{23,\lambda}(2,2;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{23,1}(2,2;6)\). Here \(\lambda\) is the weight \((\lambda_0,\lambda_1,\lambda_2)\) where \(\lambda_2\) is determined by the fact that \(|\lambda|\) equals \(d(p+q)+b\). The dominant weights are displayed in green. Click on an entry for more info!
|
54 |
55 |
56 |
46 |
· |
· |
· |
47 |
· |
1
| · |
48 |
· |
1
| · |
49 |
· |
· |
· |
50 |
· |
1
| · |
51 |
· |
· |
· |
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{23,\textbf{a}}(2,2;6)\). Here \(\textbf{a}\) is the weight \((a_0,a_1,a_2)\) where \(a_2\) is determined by the fact that \(|\textbf{a}|\) equals \(d(p+q)+b\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!