LMFDB - Group of Dirichlet characters

Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by $x^{6} $ $\mathstrut -\mathstrut 3 x^{5} $ $\mathstrut +\mathstrut 84 x^{4} $ $\mathstrut -\mathstrut 161 x^{3} $ $\mathstrut +\mathstrut 2607 x^{2} $ $\mathstrut -\mathstrut 2706 x $ $\mathstrut +\mathstrut 29699 $

$\times$	$\chi_{ 1035 } ( 1, ·)$	$\chi_{ 1035 } ( 691, ·)$	$\chi_{ 1035 } ( 229, ·)$	$\chi_{ 1035 } ( 919, ·)$	$\chi_{ 1035 } ( 346, ·)$	$\chi_{ 1035 } ( 574, ·)$
$\chi_{ 1035 }(1, ·)$	$\chi_{ 1035 } ( 1, ·)$	$\chi_{ 1035 } ( 691, ·)$	$\chi_{ 1035 } ( 229, ·)$	$\chi_{ 1035 } ( 919, ·)$	$\chi_{ 1035 } ( 346, ·)$	$\chi_{ 1035 } ( 574, ·)$
$\chi_{ 1035 }(691, ·)$	$\chi_{ 1035 } ( 691, ·)$	$\chi_{ 1035 } ( 346, ·)$	$\chi_{ 1035 } ( 919, ·)$	$\chi_{ 1035 } ( 574, ·)$	$\chi_{ 1035 } ( 1, ·)$	$\chi_{ 1035 } ( 229, ·)$
$\chi_{ 1035 }(229, ·)$	$\chi_{ 1035 } ( 229, ·)$	$\chi_{ 1035 } ( 919, ·)$	$\chi_{ 1035 } ( 691, ·)$	$\chi_{ 1035 } ( 346, ·)$	$\chi_{ 1035 } ( 574, ·)$	$\chi_{ 1035 } ( 1, ·)$
$\chi_{ 1035 }(919, ·)$	$\chi_{ 1035 } ( 919, ·)$	$\chi_{ 1035 } ( 574, ·)$	$\chi_{ 1035 } ( 346, ·)$	$\chi_{ 1035 } ( 1, ·)$	$\chi_{ 1035 } ( 229, ·)$	$\chi_{ 1035 } ( 691, ·)$
$\chi_{ 1035 }(346, ·)$	$\chi_{ 1035 } ( 346, ·)$	$\chi_{ 1035 } ( 1, ·)$	$\chi_{ 1035 } ( 574, ·)$	$\chi_{ 1035 } ( 229, ·)$	$\chi_{ 1035 } ( 691, ·)$	$\chi_{ 1035 } ( 919, ·)$
$\chi_{ 1035 }(574, ·)$	$\chi_{ 1035 } ( 574, ·)$	$\chi_{ 1035 } ( 229, ·)$	$\chi_{ 1035 } ( 1, ·)$	$\chi_{ 1035 } ( 691, ·)$	$\chi_{ 1035 } ( 919, ·)$	$\chi_{ 1035 } ( 346, ·)$

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

$\times$	\(\chi_{ 1035 } ( 1, ·)\)	\(\chi_{ 1035 } ( 691, ·)\)	\(\chi_{ 1035 } ( 229, ·)\)	\(\chi_{ 1035 } ( 919, ·)\)	\(\chi_{ 1035 } ( 346, ·)\)	\(\chi_{ 1035 } ( 574, ·)\)
\(\chi_{ 1035 }(1, ·)\)	\(\chi_{ 1035 } ( 1, ·)\)	\(\chi_{ 1035 } ( 691, ·)\)	\(\chi_{ 1035 } ( 229, ·)\)	\(\chi_{ 1035 } ( 919, ·)\)	\(\chi_{ 1035 } ( 346, ·)\)	\(\chi_{ 1035 } ( 574, ·)\)
\(\chi_{ 1035 }(691, ·)\)	\(\chi_{ 1035 } ( 691, ·)\)	\(\chi_{ 1035 } ( 346, ·)\)	\(\chi_{ 1035 } ( 919, ·)\)	\(\chi_{ 1035 } ( 574, ·)\)	\(\chi_{ 1035 } ( 1, ·)\)	\(\chi_{ 1035 } ( 229, ·)\)
\(\chi_{ 1035 }(229, ·)\)	\(\chi_{ 1035 } ( 229, ·)\)	\(\chi_{ 1035 } ( 919, ·)\)	\(\chi_{ 1035 } ( 691, ·)\)	\(\chi_{ 1035 } ( 346, ·)\)	\(\chi_{ 1035 } ( 574, ·)\)	\(\chi_{ 1035 } ( 1, ·)\)
\(\chi_{ 1035 }(919, ·)\)	\(\chi_{ 1035 } ( 919, ·)\)	\(\chi_{ 1035 } ( 574, ·)\)	\(\chi_{ 1035 } ( 346, ·)\)	\(\chi_{ 1035 } ( 1, ·)\)	\(\chi_{ 1035 } ( 229, ·)\)	\(\chi_{ 1035 } ( 691, ·)\)
\(\chi_{ 1035 }(346, ·)\)	\(\chi_{ 1035 } ( 346, ·)\)	\(\chi_{ 1035 } ( 1, ·)\)	\(\chi_{ 1035 } ( 574, ·)\)	\(\chi_{ 1035 } ( 229, ·)\)	\(\chi_{ 1035 } ( 691, ·)\)	\(\chi_{ 1035 } ( 919, ·)\)
\(\chi_{ 1035 }(574, ·)\)	\(\chi_{ 1035 } ( 574, ·)\)	\(\chi_{ 1035 } ( 229, ·)\)	\(\chi_{ 1035 } ( 1, ·)\)	\(\chi_{ 1035 } ( 691, ·)\)	\(\chi_{ 1035 } ( 919, ·)\)	\(\chi_{ 1035 } ( 346, ·)\)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

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