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Reliability of Dirichlet character data

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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Source and acknowledgments
Completeness of the data
Dirichlet character labels
Dirichlet character orbit labels

Dirichlet character data is rigorously computed without assumptions or heuristics.

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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