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^{2} $ $\mathstrut -\mathstrut x $ $\mathstrut -\mathstrut 289 $

$\times$	$\chi_{ 1157 } ( 1, ·)$	$\chi_{ 1157 } ( 1156, ·)$
$\chi_{ 1157 }(1, ·)$	$\chi_{ 1157 } ( 1, ·)$	$\chi_{ 1157 } ( 1156, ·)$
$\chi_{ 1157 }(1156, ·)$	$\chi_{ 1157 } ( 1156, ·)$	$\chi_{ 1157 } ( 1, ·)$

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

$\times$	\(\chi_{ 1157 } ( 1, ·)\)	\(\chi_{ 1157 } ( 1156, ·)\)
\(\chi_{ 1157 }(1, ·)\)	\(\chi_{ 1157 } ( 1, ·)\)	\(\chi_{ 1157 } ( 1156, ·)\)
\(\chi_{ 1157 }(1156, ·)\)	\(\chi_{ 1157 } ( 1156, ·)\)	\(\chi_{ 1157 } ( 1, ·)\)