SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=7\)

\(b=5\)

\(p=6\)

\(q=1\)

0 1 2 3 4 5 6
0 6 35 84 105 70 21 ·
1 · · · · · · 1
0 1 2 3 4 5 6
0 (5,0) (11,1) (16,3) (20,6) (23,10) (25,15) ·
1 · · · · · · (27,27)
0 1 2 3 4 5 6
0 1 1 1 1 1 1 ·
1 · · · · · · 1
0 1 2 3 4 5 6
0 1 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 \(\beta_{6,\lambda}(1,5;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{6,1}(1,5;7)\). The dominant weights are displayed in green. Click on an entry for more info!

26 27 28
26 · · ·
27 · 1 ·
28 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{6,\textbf{a}}(1,5;7)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

27 28
27 1 ·
28 · ·