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Some interesting Belyi maps and passports

Introduction

Overview	Random
Universe	Knowledge

L-functions

Modular forms

Classical	Maass
Hilbert	Bianchi

Varieties

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Fields

Number fields
$p$-adic fields

Representations

Dirichlet characters
Artin representations

Groups

Galois groups
Sato-Tate groups
Abstract groups

Database

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Learn more

Source and acknowledgments
Completeness of the data
Reliability of the data
Belyi labels

Label	Description
4T5-4_4_3.1-a	Lowest degree hyperbolic map
7T7-6.1_5.2_4.2.1-a	Largest Galois orbit in the database

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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