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Reliability of Artin representation 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 $\F_{q}$

Fields

Number fields
$p$-adic fields

Representations

Dirichlet characters
Artin representations

Groups

Galois groups
Sato-Tate groups

Database

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Learn more

Source and acknowledgments
Completeness of the data
Artin representations labels

The computation of Artin representations is rigorous; it does not rely on heuristics or conjectures.

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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