Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1,2,\ldots,g-2,\lambda,2g-3\) Graded Betti numbers and Rao modules of curves lying on a smooth cubic surface in \(\mathbb{P}{}^ 3\). Appendix 1: Some commutative diagrams. --- Appendix 2: Eckardt points 