SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=6\)

\(b=4\)

\(p=5\)

\(q=1\)

0 1 2 3 4 5
0 5 24 45 40 15 ·
1 · · · · · 1
0 1 2 3 4 5
0 (4,0) (9,1) (13,3) (16,6) (18,10) ·
1 · · · · · (20,20)
0 1 2 3 4 5
0 1 1 1 1 1 ·
1 · · · · · 1
0 1 2 3 4 5
0 1 1 1 1 1 ·
1 · · · · · 1

Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{5,\lambda}(1,4;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{5,1}(1,4;6)\). The dominant weights are displayed in green. Click on an entry for more info!

19 20 21
19 · · ·
20 · 1 ·
21 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{5,\textbf{a}}(1,4;6)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

20 21
20 1 ·
21 · ·