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New Eliahou Semigroups and Verification of the Wilf Conjecture for Genus up to 65

Published 20 Jul 2023 in math.NT, cs.DM, and math.CO | (2307.10682v1)

Abstract: We give a graphical reinterpretation of the seeds algorithm to explore the tree of numerical semigroups. We then exploit the seeds algorithm to find all the Eliahou semigroups of genus up to 65. Since all these semigroups satisfy the Wilf conjecture, this shows that the Wilf conjecture holds up to genus 65.

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