TL;DR
This paper presents a numerical approach to constructing a database of Belyi maps, which are special three-point branched covers of the complex projective line, highlighting interesting features and descent issues.
Contribution
It introduces a numerical method for computing Belyi maps and provides a comprehensive database, addressing descent problems and revealing new structural insights.
Findings
Identification of interesting features in the Belyi maps database
Discussion of descent issues in the data set
Potential applications in number theory and algebraic geometry
Abstract
We use a numerical method to compute a database of three-point branched covers of the complex projective line of small degree. We report on some interesting features of this data set, including issues of descent.
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