Packing of regular octagons in the P1 group using the hypertorus IGO

I’ve searched the P1 group to find the densest packing of regular octagons since since the densest packing of convex set with central symmetry in the plane is a lattice packing ie a member of P1 plane group. The density I found is 0.906163653094707. The analytical result for the optimal density is ~ 0.906163678643946. Packing Regular Octagons ). The minimum distance between the octagons in the packing is 1.950763550695456e-09.

Left: Found configuration; Right: Zoom of the configuration