SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=2\)

\(b=0\)

\(p=1\)

\(q=1\)

0 1
0 1 ·
1 · 1
0 1
0 (0,0) ·
1 · (2,2)
0 1
0 1 ·
1 · 1
0 1
0 1 ·
1 · 1

Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{1,\lambda}(1,0;2)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{1,1}(1,0;2)\). The dominant weights are displayed in green. Click on an entry for more info!

1 2 3
1 · · ·
2 · 1 ·
3 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{1,\textbf{a}}(1,0;2)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

2 3
2 1 ·
3 · ·