SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=2\)

\(b=1\)

\(p=0\)

\(q=0\)

0 1
0 2 2
1 · ·
0 1
0 (1,0) (2,1)
1 · ·
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 \(\beta_{0,\lambda}(1,1;2)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{0,0}(1,1;2)\). The dominant weights are displayed in green. Click on an entry for more info!

0 1 2
-1 · · ·
0 · 1 ·
1 · · ·

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

0 1 2
0 · 1 ·
1 1 · ·
2 · · ·