Pari Programs

NOTE

I no longer mantain this page; check this one out instead.

To use the programs listed in this page you can either download them and use them at your machine or you may use Bill Schelter's netmath browser. Click here to download netmath. If you want, it is possible but not recommended, to view netmath under netscape by going here, but you'll need some plug-ins in your browser.

Pari is an advanced system for number theoretic calculations. It is quite efficient. Of course you can run Pari directly on your computer. Netmath allows you to run it on mine. To run pari on your computer type gp (what else?). If you don't have the program you can download it for free.

Computation of Igusa invariants.
Canonical lifts modulo p²

This program computes canonical lifts of elliptic curves as in the paper of F. Voloch and J. Walker.
Certain curves with many integral points .

These programs computes a sequence of polynomials from a paper of F. Rodríguez Villegas and J. F. Voloch
Discrete logs

This program computes discrete logarithms in (Z/p)^*. It is just a class demonstration.

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Last updated Nov 12, 1997.
Send questions, comments to villegas@math.utexas.edu.
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This page has been visited times since November 4th, 1997.