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} - x - 172 $

$\times$	$\chi_{ 689 } ( 1, ·)$	$\chi_{ 689 } ( 688, ·)$
$\chi_{ 689 }(1, ·)$	$\chi_{ 689 } ( 1, ·)$	$\chi_{ 689 } ( 688, ·)$
$\chi_{ 689 }(688, ·)$	$\chi_{ 689 } ( 688, ·)$	$\chi_{ 689 } ( 1, ·)$

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

$\times$	\(\chi_{ 689 } ( 1, ·)\)	\(\chi_{ 689 } ( 688, ·)\)
\(\chi_{ 689 }(1, ·)\)	\(\chi_{ 689 } ( 1, ·)\)	\(\chi_{ 689 } ( 688, ·)\)
\(\chi_{ 689 }(688, ·)\)	\(\chi_{ 689 } ( 688, ·)\)	\(\chi_{ 689 } ( 1, ·)\)