SyzygyData

Current Betti Table Entry:

\(n=1\)

\(d=7\)

\(b=4\)

\(p=6\)

\(q=1\)

0 1 2 3 4 5 6
0 5 28 63 70 35 · ·
1 · · · · · 7 2
0 1 2 3 4 5 6
0 (4,0) (10,1) (15,3) (19,6) (22,10) · ·
1 · · · · · (26,20) (27,26)
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 \(\beta_{6,\lambda}(1,4;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{6,1}(1,4;7)\). The dominant weights are displayed in green. Click on an entry for more info!

26 27 28
25 · · ·
26 · 1 ·
27 · · ·

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{6,\textbf{a}}(1,4;7)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!

26 27 28
26 · 1 ·
27 1 · ·
28 · · ·