SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=6\)

\(b=2\)

\(p=5\)

\(q=1\)

0 1 2 3 4 5
0 3 12 15 · · ·
1 · · · 15 12 3
0 1 2 3 4 5
0 (2,0) (7,1) (11,3) · · ·
1 · · · (17,9) (19,13) (20,18)
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 \(\beta_{5,\lambda}(1,2;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{5,1}(1,2;6)\). The dominant weights are displayed in green. Click on an entry for more info!

19 20 21
17 · · ·
18 · 1 ·
19 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{5,\textbf{a}}(1,2;6)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

18 19 20 21
18 · · 1 ·
19 · 1 · ·
20 1 · · ·
21 · · · ·