The original sextic-solving algorithm in which this work culminates runs as a Mathematica notebook. There's a notebook for each type of algorithm. The files used by the algorithms in the notebooks are: They're compressed as sextic.zip (170 KB). The files for the new procedure using the degree-31 map's dynamics are compressed as sextic_solve_new.zip (1 MB).

Save and unzip the archive; then alter the first cell of the notebooks to agree with your directory structure.