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^{15} - 27 x^{13} - 4 x^{12} + 252 x^{11} + 60 x^{10} - 976 x^{9} - 288 x^{8} + 1473 x^{7} + 384 x^{6} + \cdots - 1 $ x^15 - 27*x^13 - 4*x^12 + 252*x^11 + 60*x^10 - 976*x^9 - 288*x^8 + 1473*x^7 + 384*x^6 - 765*x^5 - 168*x^4 + 150*x^3 + 27*x^2 - 9*x - 1

$\times$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 31, ·)$
$\chi_{ 99 }(1, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 31, ·)$
$\chi_{ 99 }(64, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 4, ·)$
$\chi_{ 99 }(34, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 64, ·)$
$\chi_{ 99 }(67, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 97, ·)$
$\chi_{ 99 }(4, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 25, ·)$
$\chi_{ 99 }(37, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 58, ·)$
$\chi_{ 99 }(70, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 91, ·)$
$\chi_{ 99 }(97, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 37, ·)$
$\chi_{ 99 }(16, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 1, ·)$
$\chi_{ 99 }(49, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 34, ·)$
$\chi_{ 99 }(82, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 67, ·)$
$\chi_{ 99 }(25, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 82, ·)$
$\chi_{ 99 }(58, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 16, ·)$
$\chi_{ 99 }(91, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 70, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 49, ·)$
$\chi_{ 99 }(31, ·)$	$\chi_{ 99 } ( 31, ·)$	$\chi_{ 99 } ( 4, ·)$	$\chi_{ 99 } ( 64, ·)$	$\chi_{ 99 } ( 97, ·)$	$\chi_{ 99 } ( 25, ·)$	$\chi_{ 99 } ( 58, ·)$	$\chi_{ 99 } ( 91, ·)$	$\chi_{ 99 } ( 37, ·)$	$\chi_{ 99 } ( 1, ·)$	$\chi_{ 99 } ( 34, ·)$	$\chi_{ 99 } ( 67, ·)$	$\chi_{ 99 } ( 82, ·)$	$\chi_{ 99 } ( 16, ·)$	$\chi_{ 99 } ( 49, ·)$	$\chi_{ 99 } ( 70, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 31, ·)\)
\(\chi_{ 99 }(1, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 31, ·)\)
\(\chi_{ 99 }(64, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 4, ·)\)
\(\chi_{ 99 }(34, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 64, ·)\)
\(\chi_{ 99 }(67, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 97, ·)\)
\(\chi_{ 99 }(4, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 25, ·)\)
\(\chi_{ 99 }(37, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 58, ·)\)
\(\chi_{ 99 }(70, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 91, ·)\)
\(\chi_{ 99 }(97, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 37, ·)\)
\(\chi_{ 99 }(16, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 1, ·)\)
\(\chi_{ 99 }(49, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 34, ·)\)
\(\chi_{ 99 }(82, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 67, ·)\)
\(\chi_{ 99 }(25, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 82, ·)\)
\(\chi_{ 99 }(58, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 16, ·)\)
\(\chi_{ 99 }(91, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 70, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 49, ·)\)
\(\chi_{ 99 }(31, ·)\)	\(\chi_{ 99 } ( 31, ·)\)	\(\chi_{ 99 } ( 4, ·)\)	\(\chi_{ 99 } ( 64, ·)\)	\(\chi_{ 99 } ( 97, ·)\)	\(\chi_{ 99 } ( 25, ·)\)	\(\chi_{ 99 } ( 58, ·)\)	\(\chi_{ 99 } ( 91, ·)\)	\(\chi_{ 99 } ( 37, ·)\)	\(\chi_{ 99 } ( 1, ·)\)	\(\chi_{ 99 } ( 34, ·)\)	\(\chi_{ 99 } ( 67, ·)\)	\(\chi_{ 99 } ( 82, ·)\)	\(\chi_{ 99 } ( 16, ·)\)	\(\chi_{ 99 } ( 49, ·)\)	\(\chi_{ 99 } ( 70, ·)\)

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.