Current Betti Table Entry:
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0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
0 |
(2,0,0) |
(6,1,0) |
(10,1,1) |
(13,3,1) |
(16,4,2) |
(19,4,4) |
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· |
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· |
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· |
· |
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1 |
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· |
(13,9,0) |
(17,9,1) |
(20,10,2) |
(23,10,4) |
(25,12,5) |
(27,13,7) |
(29,13,10) |
(30,17,10) |
(31,20,11) |
(32,22,13) |
(33,23,16) |
(34,23,20) |
(34,27,21) |
(34,30,23) |
(34,32,26) |
· |
2 |
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· |
· |
· |
· |
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(34,34,34) |
\(\lambda=(34,30,28)\)
- Multiplicity: 1
- Dimension: 60
- Dominant: No
\(\lambda=(34,32,26)\)
- Multiplicity: 1
- Dimension: 105
- Dominant: Yes
\(\textbf{a}=(27,32,33)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,30,30)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,34,28)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,26,32)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,31,34)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,33,29)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,29,31)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,32,30)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,28,32)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,33,26)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,31,31)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,27,33)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,26,34)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,27)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,34,30)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,30,32)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,31,28)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,33,31)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,29,33)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,28,34)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,30,29)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,34,27)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,32,32)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,29,30)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,28)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,31,33)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,30,34)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,32,29)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,28,31)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,34,32)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,33,33)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,31,30)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,27,32)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,32,34)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,34,29)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,32,26)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,30,31)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,26,33)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,33,30)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,31,27)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,29,32)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,26)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,28)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,32,31)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,28,33)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,27,34)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,29,29)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,33,27)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,31,32)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,28,30)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,32,28)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,34,31)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,30,33)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,29,34)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,31,29)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,27,31)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,33,32)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{17,\lambda}(2,2;5)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{17,1}(2,2;5)\). 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!
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33 |
34 |
35 |
29 |
· |
· |
· |
30 |
· |
1
| · |
31 |
· |
· |
· |
32 |
· |
1
| · |
33 |
· |
· |
· |
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{17,\textbf{a}}(2,2;5)\). 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!