SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=4\)

\(b=3\)

\(p=3\)

\(q=0\)

0 1 2 3
0 4 12 12 4
1 · · · ·
0 1 2 3
0 (3,0) (6,1) (8,3) (9,6)
1 · · · ·
0 1 2 3
0 1 1 1 1
1 · · · ·
0 1 2 3
0 1 1 1 1
1 · · · ·

Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{3,\lambda}(1,3;4)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{3,0}(1,3;4)\). The dominant weights are displayed in green. Click on an entry for more info!

8 9 10
5 · · ·
6 · 1 ·
7 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{3,\textbf{a}}(1,3;4)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

6 7 8 9 10
6 · · · 1 ·
7 · · 1 · ·
8 · 1 · · ·
9 1 · · · ·
10 · · · · ·