Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{7,\lambda}(1,5;8)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{7,1}(1,5;8)\). The dominant weights are displayed in green. Click on an entry for more info!

Below is a plot displaying the multigraded Betti numbers. In the \(\textbf{a}=(a_0,a_1)\) spot we place \(\beta_{7,\textbf{a}}(1,5;8)\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!