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Sage is a mathematical software system, and this tag is intended for questions involving this software in a substantive way. This tag should hardly ever be the only tag of a question; typically there should be additional tags to indicate the mathematical content of the question. Please note that questions that are purely support-questions on Sage are not a good fit for this site.

6 votes

Is there any fast implementation of four color theorem in Python?

And here is another Python algorithm that also uses Sage. If you wish to rely on a program with a more formal (refereed) publication, try Implementation of the greedy algorithm on graph coloring. …
Carlo Beenakker's user avatar
3 votes
Accepted

Software for $S$-unit equation

This SageMath implementation promises the full generality you are seeking: A robust implementation for solving the S-unit equation and several applications See also this Phys.Org announcement.
Carlo Beenakker's user avatar