This is an extended version of the main SARAh web page that also calculates the polynomial invariants up to order 6 (please look in Table 10). The calculations follow the methodology of Yu.A. Izyumov and V.N. Syromyatnikov, Phase Transitions and Crystal Symmetry (Kluwer Academic Publishers, Dordrecht) 1990. Chapter 4.
I am still working out how best to work with the results, so this is an alpha version that is actively being worked on.
One piece of advice – when you click evaluate, it will look like nothing is happening for a few seconds.
-Andrew (Oct 2023)