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Paramotopy is software which solves parametrized polynomial systems in parallel, using Bertini as the underlying mathematical solver. It is a numeric menu-driven program, run from the command line.

You can download a preprint of our paper on this software here.


  • MPI parallelization,
  • computer-generated parameter mesh, or user-supplied for arbitrary sampling,
  • re-solution at failed paths,
  • matlab scripts to gather and plot generated data,
  • user’s manual,
  • free.

We use Bertini

Bertini is a numerical solver. More specifically, it is a homotopy continuation solver, producing solutions to polynomial systems. Invoked from the command line, it uses a text file input, declaring functions, variables, constants, and a plethora of configuration parameters.

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This material is based upon work supported by the National Science Foundation under Grant Numbers DMS-1025564 and DMS-1115668. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foudation.