Name: PARI/GP
Homepage: https://pari.math.u-bordeaux.fr/
Why should this be included in the repository? While there are calculators (e.g. SpeedCrunch), statistics software (e.g. R), etc., there's nothing quite like PARI/GP available now. It's an algebra system aimed at number theory, but even if you're not using it to [dis]prove non-trivial zeros are on a critical line, it can be useful for much more basic algebra. For example, type 274 / 834 + 369 / 528 into your typical calculator and you'll probably see ~1.0274 as an answer, while gp will return an exact answer of 75403 / 73392.
Is it Open Source? Yes, GPL'ed since version 2.1.0.
Who and how many users do you anticipate will use this software? Anyone who is interested in number theory will probably want it. I suspect anyone who has ever desired more than just your basic calculator will find merit in it, and may use it as well. As for how many people that is, I have no idea.
Link to source tarball/zip file: Stable, Development, and Snapshots Directory.
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This has sat in accepted for inclusion for over 30 days. Clearly, there is a lack of demand for the inclusion of this software, nobody has stepped up to provide a completed patch, maintain it, and properly integrate it. Closing as a result. Feel free to reopen but only when someone offers a patch via our proper patch submission methods and volunteers to be maintainer.