Thanks to the iso-Delaunay tesselation #163, we could start a numeric search for the "lonely guy" (Teichmüller disk stabilized by a cyclic group generated by a hyperbolic element). There are two experiments that could be done in parallel for a given stratum
enumerate non-arithmetic pseudo-Anosov and explore the iso-Delaunay tesselation to search other elements in the Veech group
enumerate non-arithmetic pseudo-Anosov and for each pair of them with the same trace field, test whether they have a non-trivial intersection. Once again, this would use the iso-Delaunay tesselation (but computed only along the corresponding closed Teichmüller geodesic).
To enumerate pseudo-Anosov up to isomorphism, it is probably better to use flip sequences of veering triangulations as implemented in vereer.
Thanks to the iso-Delaunay tesselation #163, we could start a numeric search for the "lonely guy" (Teichmüller disk stabilized by a cyclic group generated by a hyperbolic element). There are two experiments that could be done in parallel for a given stratum
To enumerate pseudo-Anosov up to isomorphism, it is probably better to use flip sequences of veering triangulations as implemented in vereer.