Geodesic
The computation of Belyi pairs of $6$-edged dessins d'enfants of genus~$3$ with symmetries of order~$2$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 6, pp. 77-89

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In this article, we present all six-edged dessins d'enfants of genus $3$ with only one vertex that have a symmetry of order $2$. For each of them the Belyi pair is computed. 
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     author = {B. S. Bychkov and V. A. Dremov and E. M. Epifanov},
     title = {The computation of {Belyi} pairs of $6$-edged dessins d'enfants of genus~$3$ with symmetries of order~$2$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {77--89},
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     number = {6},
     year = {2013},
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B. S. Bychkov; V. A. Dremov; E. M. Epifanov. The computation of Belyi pairs of $6$-edged dessins d'enfants of genus~$3$ with symmetries of order~$2$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 6, pp. 77-89. http://geodesic.mathdoc.fr/item/FPM_2013_18_6_a3/