SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=4\)

\(b=2\)

\(p=3\)

\(q=1\)

0 1 2 3
0 3 8 6 ·
1 · · · 1
0 1 2 3
0 (2,0) (5,1) (7,3) ·
1 · · · (9,9)
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 \(\beta_{3,\lambda}(1,2;4)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{3,1}(1,2;4)\). The dominant weights are displayed in green. Click on an entry for more info!

8 9 10
8 · · ·
9 · 1 ·
10 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{3,\textbf{a}}(1,2;4)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

9 10
9 1 ·
10 · ·