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 x^{5} $ $\mathstrut +\mathstrut 121 x^{4} $ $\mathstrut -\mathstrut 81 x^{3} $ $\mathstrut +\mathstrut 5255 x^{2} $ $\mathstrut -\mathstrut 1681 x $ $\mathstrut +\mathstrut 81269 $

$\times$	$\chi_{ 1169 } ( 1, ·)$	$\chi_{ 1169 } ( 834, ·)$	$\chi_{ 1169 } ( 667, ·)$	$\chi_{ 1169 } ( 1003, ·)$	$\chi_{ 1169 } ( 333, ·)$	$\chi_{ 1169 } ( 669, ·)$
$\chi_{ 1169 }(1, ·)$	$\chi_{ 1169 } ( 1, ·)$	$\chi_{ 1169 } ( 834, ·)$	$\chi_{ 1169 } ( 667, ·)$	$\chi_{ 1169 } ( 1003, ·)$	$\chi_{ 1169 } ( 333, ·)$	$\chi_{ 1169 } ( 669, ·)$
$\chi_{ 1169 }(834, ·)$	$\chi_{ 1169 } ( 834, ·)$	$\chi_{ 1169 } ( 1, ·)$	$\chi_{ 1169 } ( 1003, ·)$	$\chi_{ 1169 } ( 667, ·)$	$\chi_{ 1169 } ( 669, ·)$	$\chi_{ 1169 } ( 333, ·)$
$\chi_{ 1169 }(667, ·)$	$\chi_{ 1169 } ( 667, ·)$	$\chi_{ 1169 } ( 1003, ·)$	$\chi_{ 1169 } ( 669, ·)$	$\chi_{ 1169 } ( 333, ·)$	$\chi_{ 1169 } ( 1, ·)$	$\chi_{ 1169 } ( 834, ·)$
$\chi_{ 1169 }(1003, ·)$	$\chi_{ 1169 } ( 1003, ·)$	$\chi_{ 1169 } ( 667, ·)$	$\chi_{ 1169 } ( 333, ·)$	$\chi_{ 1169 } ( 669, ·)$	$\chi_{ 1169 } ( 834, ·)$	$\chi_{ 1169 } ( 1, ·)$
$\chi_{ 1169 }(333, ·)$	$\chi_{ 1169 } ( 333, ·)$	$\chi_{ 1169 } ( 669, ·)$	$\chi_{ 1169 } ( 1, ·)$	$\chi_{ 1169 } ( 834, ·)$	$\chi_{ 1169 } ( 1003, ·)$	$\chi_{ 1169 } ( 667, ·)$
$\chi_{ 1169 }(669, ·)$	$\chi_{ 1169 } ( 669, ·)$	$\chi_{ 1169 } ( 333, ·)$	$\chi_{ 1169 } ( 834, ·)$	$\chi_{ 1169 } ( 1, ·)$	$\chi_{ 1169 } ( 667, ·)$	$\chi_{ 1169 } ( 1003, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 1169 } ( 1, ·)\)	\(\chi_{ 1169 } ( 834, ·)\)	\(\chi_{ 1169 } ( 667, ·)\)	\(\chi_{ 1169 } ( 1003, ·)\)	\(\chi_{ 1169 } ( 333, ·)\)	\(\chi_{ 1169 } ( 669, ·)\)
\(\chi_{ 1169 }(1, ·)\)	\(\chi_{ 1169 } ( 1, ·)\)	\(\chi_{ 1169 } ( 834, ·)\)	\(\chi_{ 1169 } ( 667, ·)\)	\(\chi_{ 1169 } ( 1003, ·)\)	\(\chi_{ 1169 } ( 333, ·)\)	\(\chi_{ 1169 } ( 669, ·)\)
\(\chi_{ 1169 }(834, ·)\)	\(\chi_{ 1169 } ( 834, ·)\)	\(\chi_{ 1169 } ( 1, ·)\)	\(\chi_{ 1169 } ( 1003, ·)\)	\(\chi_{ 1169 } ( 667, ·)\)	\(\chi_{ 1169 } ( 669, ·)\)	\(\chi_{ 1169 } ( 333, ·)\)
\(\chi_{ 1169 }(667, ·)\)	\(\chi_{ 1169 } ( 667, ·)\)	\(\chi_{ 1169 } ( 1003, ·)\)	\(\chi_{ 1169 } ( 669, ·)\)	\(\chi_{ 1169 } ( 333, ·)\)	\(\chi_{ 1169 } ( 1, ·)\)	\(\chi_{ 1169 } ( 834, ·)\)
\(\chi_{ 1169 }(1003, ·)\)	\(\chi_{ 1169 } ( 1003, ·)\)	\(\chi_{ 1169 } ( 667, ·)\)	\(\chi_{ 1169 } ( 333, ·)\)	\(\chi_{ 1169 } ( 669, ·)\)	\(\chi_{ 1169 } ( 834, ·)\)	\(\chi_{ 1169 } ( 1, ·)\)
\(\chi_{ 1169 }(333, ·)\)	\(\chi_{ 1169 } ( 333, ·)\)	\(\chi_{ 1169 } ( 669, ·)\)	\(\chi_{ 1169 } ( 1, ·)\)	\(\chi_{ 1169 } ( 834, ·)\)	\(\chi_{ 1169 } ( 1003, ·)\)	\(\chi_{ 1169 } ( 667, ·)\)
\(\chi_{ 1169 }(669, ·)\)	\(\chi_{ 1169 } ( 669, ·)\)	\(\chi_{ 1169 } ( 333, ·)\)	\(\chi_{ 1169 } ( 834, ·)\)	\(\chi_{ 1169 } ( 1, ·)\)	\(\chi_{ 1169 } ( 667, ·)\)	\(\chi_{ 1169 } ( 1003, ·)\)

Introduction

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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.