SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=5\)

\(b=2\)

\(p=4\)

\(q=1\)

0 1 2 3 4
0 3 10 10 · ·
1 · · · 5 2
0 1 2 3 4
0 (2,0) (6,1) (9,3) · ·
1 · · · (13,9) (14,13)
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 \(\beta_{4,\lambda}(1,2;5)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{4,1}(1,2;5)\). The dominant weights are displayed in green. Click on an entry for more info!

13 14 15
12 · · ·
13 · 1 ·
14 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{4,\textbf{a}}(1,2;5)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

13 14 15
13 · 1 ·
14 1 · ·
15 · · ·