I would like to automate a huge amount of computation that involve basic arithmetic operations with $p$-adic numbers. I have found a Mathematica packages for it, but it is old and acts quite erratically. Do you know of any computational software that does it reliably?
[Math] P-adic Arithmetic Software
mathematical-software
Best Answer
SAGE has p-adic arithmetic (for example, see http://www.math.utah.edu/~carlson/cimat/python-sage.pdf), and has the added benefit of being completely free and open-source!