Algorithm for computing the moduli space of pointed Gorenstein curves with Weierstrass gap sequence \(1,2,\ldots,g-2,\lambda,2g-3\) Invariants of \(\text{SL}_2(\mathbb{F}_q)\cdot\text{Aut}(\mathbb{F}_q)\) acting on \(\mathbb{C}^n\) for \(q=2n\pm 1\) 