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Labels for Galois groups

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

Labels for Galois groups are of the form $\tt{nTt}$ where $n$ is the degree and $t$ is the $T$ -number.

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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