### SyzygyData

Current Betti Table Entry:

#### $$q=0$$

0 1 2 3
0 4 12 12 4
1 · · · ·
0 1 2 3
0 (3,0) (6,1) (8,3) (9,6)
1 · · · ·
0 1 2 3
0 1 1 1 1
1 · · · ·
0 1 2 3
0 1 1 1 1
1 · · · ·

#### Schur Decomposition

Below is a plot displaying the Schur decomposition. In the $$\lambda=(\lambda_0,\lambda_1)$$ spot we place $$\beta_{0,\lambda}(1,3;4)$$, the multiplicity of $$\textbf{S}_{\lambda}$$ occuring in the decomposition of $$K_{0,0}(1,3;4)$$. The dominant weights are displayed in green. Click on an entry for more info!

2 3 4
-1 · · ·
0 · ·
1 · · ·

Below is a plot displaying the multigraded Betti numbers. In the $$\textbf{a}=(a_0,a_1)$$ spot we place $$\beta_{0,\textbf{a}}(1,3;4)$$. Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!