Current Betti Table Entry:
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0 |
(0,0,0) |
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1 |
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(10,2,0) |
(15,2,1) |
(19,4,1) |
(23,5,2) |
(27,5,4) |
(30,8,4) |
(33,10,5) |
(36,11,7) |
(39,11,10) |
(41,15,10) |
(43,18,11) |
(45,20,13) |
(47,21,16) |
(49,21,20) |
(50,26,20) |
(51,30,21) |
(52,33,23) |
(53,35,26) |
(54,36,30) |
(55,36,35) |
(55,41,36) |
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2 |
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(45,45,18) |
(48,45,21) |
(50,46,24) |
(52,46,28) |
(53,48,31) |
(54,49,35) |
(55,49,40) |
(55,52,43) |
(55,54,47) |
(55,55,52) |
\(\lambda=(55,52,49)\)
- Multiplicity: 1
- Dimension: 64
- Dominant: No
\(\lambda=(55,53,48)\)
- Multiplicity: 1
- Dimension: 81
- Dominant: No
\(\lambda=(55,54,47)\)
- Multiplicity: 1
- Dimension: 80
- Dominant: Yes
\(\textbf{a}=(53,52,51)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,48,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,54,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,53,55)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,51,52)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,55,50)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,47,54)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,54,51)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,50,53)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,55,47)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,53,52)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,49,54)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,54,48)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,52,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,48,55)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,53,49)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,55,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,51,54)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,52,50)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,54,53)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,50,55)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,51,51)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,55,49)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,53,54)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,52,55)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,50,52)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,54,50)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,53,51)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,49,53)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,55,54)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,54,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,52,52)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,54,47)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,48,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,55,51)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,53,48)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,51,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,47,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,52,49)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,54,52)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,50,54)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,55,48)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,51,50)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,53,53)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,49,55)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,50,51)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,54,49)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,52,54)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,51,55)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,49,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,53,50)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,55,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{24,\lambda}(2,0;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{24,2}(2,0;6)\). 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!
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54 |
55 |
56 |
51 |
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52 |
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1
| · |
53 |
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1
| · |
54 |
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1
| · |
55 |
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· |
· |
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{24,\textbf{a}}(2,0;6)\). 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!