  To the existing dynamic algorithm FactorizationsUpToElement for factorization
sets of elements in a numerical semigroup, we add lexicographic and parallel
behavior. To the existing parallel lexicographic algorithm for the same, we add
dynamic behavior. The (dimensionwise) dynamic algorithm is parallelized either
elementwise or factorizationwise, while the parallel lexicographic algorithm is
made dynamic with low-dimension tabulation. The tabulation for the parallel
lexicographic algorithm can itself be performed using the dynamic algorithm. We
provide reference CUDA implementations with measured runtimes.
