4 | | - Tune the p-adic precision in `padic_H_value`. |

5 | | - Speed up the computation of p-adic Gamma and/or modify the computation of Gauss sums to eliminate redundant evaluations of p-adic Gamma. (See #24433 for a relevant optimization: caching coefficients of the Dwork exponential series.) |

6 | | - Recode the hypergeometric trace formula in Cython. |

| 4 | - Optimizations to speed up `padic_H_value`. Some occur at #24433 (cache coefficients of the Dwork exponential series) and #28458 (eliminate redundant Gauss sum calls). |

| 5 | - Recode the computation of Gauss sums and/or the hypergeometric trace formula in Cython. |