This document contains additional numerical and graphical evidence to support some of the conjectures mentioned in \cite{ GM3}. We give more evidence for $\kappa=3,4$ in dimension 2. As mentioned in that article we still don't quite understand the sets $\boldsymbol{ \mu}_{ \kappa}(\Delta)$ and $\boldsymbol{ \Theta}_{ \kappa}(\Delta)$ on $(0,1/2)$ for $\kappa=3$ in dimension 2. Here we give a bunch more threshold energies for $\kappa = 3$ in dimension 2.
Categories: math.FA math-ph math.MP math.SP