Try Sage.
It's very powerful mathematics system written in Python. It's syntax is nearly identical as Python's.
Finite field operations are in this package.
题
Is there any package in python or java that can solve a system of linear equations over a finite field? I'm trying to solve 20+ equations with 20+ unknown variables and having this package would be great. This is a system of equations over a finite field so it's not quite the same as solving regular linear equations.
Additions, subtraction, multiplication, and division follow the set of rules described here for finite fields. Thanks.