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^{16} - x^{15} + 6 x^{14} - 17 x^{13} + 17 x^{12} + 49 x^{11} - 78 x^{10} + 833 x^{9} - 2129 x^{8} + 4998 x^{7} - 2808 x^{6} + 10584 x^{5} + 22032 x^{4} - 132192 x^{3} + 279936 x^{2} - 279936 x + 1679616 $

$\times$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 254, ·)$
$\chi_{ 345 }(1, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 254, ·)$
$\chi_{ 345 }(323, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 277, ·)$
$\chi_{ 345 }(68, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 22, ·)$
$\chi_{ 345 }(137, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 298, ·)$
$\chi_{ 345 }(139, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 116, ·)$
$\chi_{ 345 }(206, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 229, ·)$
$\chi_{ 345 }(208, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 47, ·)$
$\chi_{ 345 }(277, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 323, ·)$
$\chi_{ 345 }(22, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 68, ·)$
$\chi_{ 345 }(344, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 91, ·)$
$\chi_{ 345 }(91, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 344, ·)$
$\chi_{ 345 }(229, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 206, ·)$
$\chi_{ 345 }(298, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 137, ·)$
$\chi_{ 345 }(47, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 208, ·)$
$\chi_{ 345 }(116, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 1, ·)$	$\chi_{ 345 } ( 139, ·)$
$\chi_{ 345 }(254, ·)$	$\chi_{ 345 } ( 254, ·)$	$\chi_{ 345 } ( 277, ·)$	$\chi_{ 345 } ( 22, ·)$	$\chi_{ 345 } ( 298, ·)$	$\chi_{ 345 } ( 116, ·)$	$\chi_{ 345 } ( 229, ·)$	$\chi_{ 345 } ( 47, ·)$	$\chi_{ 345 } ( 323, ·)$	$\chi_{ 345 } ( 68, ·)$	$\chi_{ 345 } ( 91, ·)$	$\chi_{ 345 } ( 344, ·)$	$\chi_{ 345 } ( 206, ·)$	$\chi_{ 345 } ( 137, ·)$	$\chi_{ 345 } ( 208, ·)$	$\chi_{ 345 } ( 139, ·)$	$\chi_{ 345 } ( 1, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 254, ·)\)
\(\chi_{ 345 }(1, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 254, ·)\)
\(\chi_{ 345 }(323, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 277, ·)\)
\(\chi_{ 345 }(68, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 22, ·)\)
\(\chi_{ 345 }(137, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 298, ·)\)
\(\chi_{ 345 }(139, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 116, ·)\)
\(\chi_{ 345 }(206, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 229, ·)\)
\(\chi_{ 345 }(208, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 47, ·)\)
\(\chi_{ 345 }(277, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 323, ·)\)
\(\chi_{ 345 }(22, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 68, ·)\)
\(\chi_{ 345 }(344, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 91, ·)\)
\(\chi_{ 345 }(91, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 344, ·)\)
\(\chi_{ 345 }(229, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 206, ·)\)
\(\chi_{ 345 }(298, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 137, ·)\)
\(\chi_{ 345 }(47, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 208, ·)\)
\(\chi_{ 345 }(116, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 1, ·)\)	\(\chi_{ 345 } ( 139, ·)\)
\(\chi_{ 345 }(254, ·)\)	\(\chi_{ 345 } ( 254, ·)\)	\(\chi_{ 345 } ( 277, ·)\)	\(\chi_{ 345 } ( 22, ·)\)	\(\chi_{ 345 } ( 298, ·)\)	\(\chi_{ 345 } ( 116, ·)\)	\(\chi_{ 345 } ( 229, ·)\)	\(\chi_{ 345 } ( 47, ·)\)	\(\chi_{ 345 } ( 323, ·)\)	\(\chi_{ 345 } ( 68, ·)\)	\(\chi_{ 345 } ( 91, ·)\)	\(\chi_{ 345 } ( 344, ·)\)	\(\chi_{ 345 } ( 206, ·)\)	\(\chi_{ 345 } ( 137, ·)\)	\(\chi_{ 345 } ( 208, ·)\)	\(\chi_{ 345 } ( 139, ·)\)	\(\chi_{ 345 } ( 1, ·)\)

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.