Exploring the tree of numerical semigroups In this paper we describe an algorithm visiting all numerical semigroups up to a given genus using a well-suited representation. The interest of this algorithm is that it fits particularly well the architecture of modern computers allowing very large optimizations: we obtain the number of numerical semigroups of genus $gleq 67$ and we confirm the Wilf conjecture for $gleq 60$.

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  1. Fromentin, Jean; Hivert, Florent: Exploring the tree of numerical semigroups. (2016)