This directory contains the files recden - Maple code for the recursive dense representation AlgNumGcd.mw - a Maple worksheet, that needs to read recden first, which includes our modular gcd algorithm for Q(alpha_1,...,alpha_n)[x1,...,xk] and a sample session. Mike4input.mpl - The Maple code in one text file used to generate the timings for the Benchmark. To execute it in Unix use this command maple -q < Mike4input.mpl Mahsa Ansari and Michael Monagan. May 2023.