Character calculations used to define invariant polynomials
Here are the character calculations reported in Section 3. These allow us to define
invariant polynomials \(F_{g,d}\) up to scaling, for \(g \in
\{7,8,9,10\}\) and \(d \in \{1,2\}\).
Constructing invariant polynomials
We construct the invariant polynomials
\(F_{g,d}\) in Macaulay2. For each polynomial, we give the
main input file and output files along with the additional output files that
store polynomials used in intermediate steps to evaluate \(F_{g,d}\).