Does anyone have a suggestion for the best computer program to perform calculations in the 2nd Weyl algebra? 



Computer algebra system for Weyl algebra computations
Weyl algebra computations are implemented in
[Macaulay 2](http://www.math.uiuc.edu/Macaulay2/doc/Macaulay2-1.8.2/share/doc/Macaulay2/Dmodules/html/) (package D-modules). Here is a [manual.](http://www.math.kobe-u.ac.jp/~taka/2007/knx/leykin-2002-m2.pdf)


