Jean-Bernard Zuber
Unpublished material

Primitive and semi-primitive partitions of genus 2

The notations are those of [Zuber arXiv:2303...] and [Coquereaux-Zuber arXiv:230x....]:

The numbers of primitive and semi-primitive partitions, as defined in Cori and Hetyei arXiv:1710.09992] are as follows

Their diagrams are listed in the following Tables

only 2-vertices

n=8, [2^4]        n=10, [2^5]        n=12, [2^6]        n=14, [2^7]        n=16, [2^8]        n=18, [2^9]

one 3-vertex

two 3-vertices

two 3-vertices, semi-primitive

one 4-vertex