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Two classical results of Stafford say that every (left) ideal of the n-th Weyl algebra A_n can be generated by two elements, and every holonomic A_n-module is cyclic, i.e. generated by one element. We modify Stafford's original proofs to make the algorithmic computation of these generators possible.arXiv:math/0204303v2 fatcat:rb2pmcny7fc2zebpgfdyqm5sti