Computing generating sets of lattice ideals

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In this article, we present a new algorithm for computing a generating set of a lattice ideal. This algorithm is based on a project-and-lift approach and is implemented in 4ti2. We also include a computational comparison of several existing implementations to compute such generating sets.
The manuscript has been rearranged and modified to improve presentation and readability of the project-and-lift algorithm to compute generating sets of lattice ideals

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