In the paper "Confinement of matroid representations to subsets of partial fields" (arXiv:0806.4487) we introduced the Hydra-k partial fields to study quinary matroids with inequivalent representations. The proofs of some results on these partial fields require extensive computations. This paper contains these computations, implemented in Mathematica.
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Cornell University Library
arXiv.org e-Print archive
Matroid Structure for Efficiency
Networks and Optimization

Pendavingh, R., & van Zwam, S. (2010). The Hydra-k Partial Fields. arXiv.org e-Print archive. Cornell University Library .