SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=5\)

\(b=3\)

\(p=4\)

\(q=1\)

0 1 2 3 4
0 4 15 20 10 ·
1 · · · · 1
0 1 2 3 4
0 (3,0) (7,1) (10,3) (12,6) ·
1 · · · · (14,14)
0 1 2 3 4
0 1 1 1 1 ·
1 · · · · 1
0 1 2 3 4
0 1 1 1 1 ·
1 · · · · 1

Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{4,\lambda}(1,3;5)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{4,1}(1,3;5)\). The dominant weights are displayed in green. Click on an entry for more info!

13 14 15
13 · · ·
14 · 1 ·
15 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{4,\textbf{a}}(1,3;5)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

14 15
14 1 ·
15 · ·