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 280 x^{4} $ $\mathstrut -\mathstrut 187 x^{3} $ $\mathstrut +\mathstrut 26985 x^{2} $ $\mathstrut -\mathstrut 8836 x $ $\mathstrut +\mathstrut 893759 $

$\times$	$\chi_{ 2653 } ( 1, ·)$	$\chi_{ 2653 } ( 1136, ·)$	$\chi_{ 2653 } ( 1138, ·)$	$\chi_{ 2653 } ( 757, ·)$	$\chi_{ 2653 } ( 1894, ·)$	$\chi_{ 2653 } ( 380, ·)$
$\chi_{ 2653 }(1, ·)$	$\chi_{ 2653 } ( 1, ·)$	$\chi_{ 2653 } ( 1136, ·)$	$\chi_{ 2653 } ( 1138, ·)$	$\chi_{ 2653 } ( 757, ·)$	$\chi_{ 2653 } ( 1894, ·)$	$\chi_{ 2653 } ( 380, ·)$
$\chi_{ 2653 }(1136, ·)$	$\chi_{ 2653 } ( 1136, ·)$	$\chi_{ 2653 } ( 1138, ·)$	$\chi_{ 2653 } ( 757, ·)$	$\chi_{ 2653 } ( 380, ·)$	$\chi_{ 2653 } ( 1, ·)$	$\chi_{ 2653 } ( 1894, ·)$
$\chi_{ 2653 }(1138, ·)$	$\chi_{ 2653 } ( 1138, ·)$	$\chi_{ 2653 } ( 757, ·)$	$\chi_{ 2653 } ( 380, ·)$	$\chi_{ 2653 } ( 1894, ·)$	$\chi_{ 2653 } ( 1136, ·)$	$\chi_{ 2653 } ( 1, ·)$
$\chi_{ 2653 }(757, ·)$	$\chi_{ 2653 } ( 757, ·)$	$\chi_{ 2653 } ( 380, ·)$	$\chi_{ 2653 } ( 1894, ·)$	$\chi_{ 2653 } ( 1, ·)$	$\chi_{ 2653 } ( 1138, ·)$	$\chi_{ 2653 } ( 1136, ·)$
$\chi_{ 2653 }(1894, ·)$	$\chi_{ 2653 } ( 1894, ·)$	$\chi_{ 2653 } ( 1, ·)$	$\chi_{ 2653 } ( 1136, ·)$	$\chi_{ 2653 } ( 1138, ·)$	$\chi_{ 2653 } ( 380, ·)$	$\chi_{ 2653 } ( 757, ·)$
$\chi_{ 2653 }(380, ·)$	$\chi_{ 2653 } ( 380, ·)$	$\chi_{ 2653 } ( 1894, ·)$	$\chi_{ 2653 } ( 1, ·)$	$\chi_{ 2653 } ( 1136, ·)$	$\chi_{ 2653 } ( 757, ·)$	$\chi_{ 2653 } ( 1138, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 2653 } ( 1, ·)\)	\(\chi_{ 2653 } ( 1136, ·)\)	\(\chi_{ 2653 } ( 1138, ·)\)	\(\chi_{ 2653 } ( 757, ·)\)	\(\chi_{ 2653 } ( 1894, ·)\)	\(\chi_{ 2653 } ( 380, ·)\)
\(\chi_{ 2653 }(1, ·)\)	\(\chi_{ 2653 } ( 1, ·)\)	\(\chi_{ 2653 } ( 1136, ·)\)	\(\chi_{ 2653 } ( 1138, ·)\)	\(\chi_{ 2653 } ( 757, ·)\)	\(\chi_{ 2653 } ( 1894, ·)\)	\(\chi_{ 2653 } ( 380, ·)\)
\(\chi_{ 2653 }(1136, ·)\)	\(\chi_{ 2653 } ( 1136, ·)\)	\(\chi_{ 2653 } ( 1138, ·)\)	\(\chi_{ 2653 } ( 757, ·)\)	\(\chi_{ 2653 } ( 380, ·)\)	\(\chi_{ 2653 } ( 1, ·)\)	\(\chi_{ 2653 } ( 1894, ·)\)
\(\chi_{ 2653 }(1138, ·)\)	\(\chi_{ 2653 } ( 1138, ·)\)	\(\chi_{ 2653 } ( 757, ·)\)	\(\chi_{ 2653 } ( 380, ·)\)	\(\chi_{ 2653 } ( 1894, ·)\)	\(\chi_{ 2653 } ( 1136, ·)\)	\(\chi_{ 2653 } ( 1, ·)\)
\(\chi_{ 2653 }(757, ·)\)	\(\chi_{ 2653 } ( 757, ·)\)	\(\chi_{ 2653 } ( 380, ·)\)	\(\chi_{ 2653 } ( 1894, ·)\)	\(\chi_{ 2653 } ( 1, ·)\)	\(\chi_{ 2653 } ( 1138, ·)\)	\(\chi_{ 2653 } ( 1136, ·)\)
\(\chi_{ 2653 }(1894, ·)\)	\(\chi_{ 2653 } ( 1894, ·)\)	\(\chi_{ 2653 } ( 1, ·)\)	\(\chi_{ 2653 } ( 1136, ·)\)	\(\chi_{ 2653 } ( 1138, ·)\)	\(\chi_{ 2653 } ( 380, ·)\)	\(\chi_{ 2653 } ( 757, ·)\)
\(\chi_{ 2653 }(380, ·)\)	\(\chi_{ 2653 } ( 380, ·)\)	\(\chi_{ 2653 } ( 1894, ·)\)	\(\chi_{ 2653 } ( 1, ·)\)	\(\chi_{ 2653 } ( 1136, ·)\)	\(\chi_{ 2653 } ( 757, ·)\)	\(\chi_{ 2653 } ( 1138, ·)\)

Introduction

L-functions

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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.