I would like to automate a huge amount of computation that involves basic arithmetic operations with $p$-adic numbers. I have found a Mathematica package for it, but it is old and acts quite erratically. Do you know of any computational software that does it reliably?



On $p$-adic arithmetic softwares
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!


