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} - 8 x^{15} + 180 x^{14} - 1120 x^{13} + 14026 x^{12} - 69960 x^{11} + 627024 x^{10} + \cdots + 76059908671 $ x^16 - 8*x^15 + 180*x^14 - 1120*x^13 + 14026*x^12 - 69960*x^11 + 627024*x^10 - 2519560*x^9 + 17702027*x^8 - 56416264*x^7 + 324191712*x^6 - 784977032*x^5 + 3766659562*x^4 - 6286165360*x^3 + 25396479484*x^2 - 22375524712*x + 76059908671

$\times$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 2325, ·)$
$\chi_{ 2656 }(1, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 2325, ·)$
$\chi_{ 2656 }(1161, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 829, ·)$
$\chi_{ 2656 }(333, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 1329, ·)$
$\chi_{ 2656 }(1493, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 2489, ·)$
$\chi_{ 2656 }(665, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 333, ·)$
$\chi_{ 2656 }(165, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 1161, ·)$
$\chi_{ 2656 }(1825, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1493, ·)$
$\chi_{ 2656 }(997, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1993, ·)$
$\chi_{ 2656 }(497, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 165, ·)$
$\chi_{ 2656 }(2157, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 497, ·)$
$\chi_{ 2656 }(829, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 1825, ·)$
$\chi_{ 2656 }(1329, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 997, ·)$
$\chi_{ 2656 }(1993, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 1661, ·)$
$\chi_{ 2656 }(2489, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 2157, ·)$
$\chi_{ 2656 }(1661, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 665, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 1, ·)$
$\chi_{ 2656 }(2325, ·)$	$\chi_{ 2656 } ( 2325, ·)$	$\chi_{ 2656 } ( 829, ·)$	$\chi_{ 2656 } ( 1329, ·)$	$\chi_{ 2656 } ( 2489, ·)$	$\chi_{ 2656 } ( 333, ·)$	$\chi_{ 2656 } ( 1161, ·)$	$\chi_{ 2656 } ( 1493, ·)$	$\chi_{ 2656 } ( 1993, ·)$	$\chi_{ 2656 } ( 165, ·)$	$\chi_{ 2656 } ( 497, ·)$	$\chi_{ 2656 } ( 1825, ·)$	$\chi_{ 2656 } ( 997, ·)$	$\chi_{ 2656 } ( 1661, ·)$	$\chi_{ 2656 } ( 2157, ·)$	$\chi_{ 2656 } ( 1, ·)$	$\chi_{ 2656 } ( 665, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)
\(\chi_{ 2656 }(1, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)
\(\chi_{ 2656 }(1161, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)
\(\chi_{ 2656 }(333, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)
\(\chi_{ 2656 }(1493, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)
\(\chi_{ 2656 }(665, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)
\(\chi_{ 2656 }(165, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)
\(\chi_{ 2656 }(1825, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)
\(\chi_{ 2656 }(997, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)
\(\chi_{ 2656 }(497, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)
\(\chi_{ 2656 }(2157, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)
\(\chi_{ 2656 }(829, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)
\(\chi_{ 2656 }(1329, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)
\(\chi_{ 2656 }(1993, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)
\(\chi_{ 2656 }(2489, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)
\(\chi_{ 2656 }(1661, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)
\(\chi_{ 2656 }(2325, ·)\)	\(\chi_{ 2656 } ( 2325, ·)\)	\(\chi_{ 2656 } ( 829, ·)\)	\(\chi_{ 2656 } ( 1329, ·)\)	\(\chi_{ 2656 } ( 2489, ·)\)	\(\chi_{ 2656 } ( 333, ·)\)	\(\chi_{ 2656 } ( 1161, ·)\)	\(\chi_{ 2656 } ( 1493, ·)\)	\(\chi_{ 2656 } ( 1993, ·)\)	\(\chi_{ 2656 } ( 165, ·)\)	\(\chi_{ 2656 } ( 497, ·)\)	\(\chi_{ 2656 } ( 1825, ·)\)	\(\chi_{ 2656 } ( 997, ·)\)	\(\chi_{ 2656 } ( 1661, ·)\)	\(\chi_{ 2656 } ( 2157, ·)\)	\(\chi_{ 2656 } ( 1, ·)\)	\(\chi_{ 2656 } ( 665, ·)\)

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.