SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=3\)

\(b=0\)

\(p=1\)

\(q=1\)

0 1 2
0 1 · ·
1 · 3 2
0 1 2
0 (0,0) · ·
1 · (4,2) (5,4)
0 1 2
0 1 · ·
1 · 1 1
0 1 2
0 1 · ·
1 · 1 1

Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{1,\lambda}(1,0;3)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{1,1}(1,0;3)\). The dominant weights are displayed in green. Click on an entry for more info!

3 4 5
1 · · ·
2 · 1 ·
3 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{1,\textbf{a}}(1,0;3)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

2 3 4 5
2 · · 1 ·
3 · 1 · ·
4 1 · · ·
5 · · · ·