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^{20} - x^{18} + x^{16} - x^{14} + x^{12} - x^{10} + x^{8} - x^{6} + x^{4} - x^{2} + 1 $

$\times$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 43, ·)$
$\chi_{ 44 }(1, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 43, ·)$
$\chi_{ 44 }(3, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 41, ·)$
$\chi_{ 44 }(5, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 39, ·)$
$\chi_{ 44 }(7, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 37, ·)$
$\chi_{ 44 }(9, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 35, ·)$
$\chi_{ 44 }(13, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 31, ·)$
$\chi_{ 44 }(15, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 29, ·)$
$\chi_{ 44 }(17, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 27, ·)$
$\chi_{ 44 }(19, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 25, ·)$
$\chi_{ 44 }(21, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 23, ·)$
$\chi_{ 44 }(23, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 21, ·)$
$\chi_{ 44 }(25, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 19, ·)$
$\chi_{ 44 }(27, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 17, ·)$
$\chi_{ 44 }(29, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 15, ·)$
$\chi_{ 44 }(31, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 13, ·)$
$\chi_{ 44 }(35, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 9, ·)$
$\chi_{ 44 }(37, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 7, ·)$
$\chi_{ 44 }(39, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 5, ·)$
$\chi_{ 44 }(41, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 1, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 3, ·)$
$\chi_{ 44 }(43, ·)$	$\chi_{ 44 } ( 43, ·)$	$\chi_{ 44 } ( 41, ·)$	$\chi_{ 44 } ( 39, ·)$	$\chi_{ 44 } ( 37, ·)$	$\chi_{ 44 } ( 35, ·)$	$\chi_{ 44 } ( 31, ·)$	$\chi_{ 44 } ( 29, ·)$	$\chi_{ 44 } ( 27, ·)$	$\chi_{ 44 } ( 25, ·)$	$\chi_{ 44 } ( 23, ·)$	$\chi_{ 44 } ( 21, ·)$	$\chi_{ 44 } ( 19, ·)$	$\chi_{ 44 } ( 17, ·)$	$\chi_{ 44 } ( 15, ·)$	$\chi_{ 44 } ( 13, ·)$	$\chi_{ 44 } ( 9, ·)$	$\chi_{ 44 } ( 7, ·)$	$\chi_{ 44 } ( 5, ·)$	$\chi_{ 44 } ( 3, ·)$	$\chi_{ 44 } ( 1, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 43, ·)\)
\(\chi_{ 44 }(1, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 43, ·)\)
\(\chi_{ 44 }(3, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 41, ·)\)
\(\chi_{ 44 }(5, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 39, ·)\)
\(\chi_{ 44 }(7, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 37, ·)\)
\(\chi_{ 44 }(9, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 35, ·)\)
\(\chi_{ 44 }(13, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 31, ·)\)
\(\chi_{ 44 }(15, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 29, ·)\)
\(\chi_{ 44 }(17, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 27, ·)\)
\(\chi_{ 44 }(19, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 25, ·)\)
\(\chi_{ 44 }(21, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 23, ·)\)
\(\chi_{ 44 }(23, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 21, ·)\)
\(\chi_{ 44 }(25, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 19, ·)\)
\(\chi_{ 44 }(27, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 17, ·)\)
\(\chi_{ 44 }(29, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 15, ·)\)
\(\chi_{ 44 }(31, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 13, ·)\)
\(\chi_{ 44 }(35, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 9, ·)\)
\(\chi_{ 44 }(37, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 7, ·)\)
\(\chi_{ 44 }(39, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 5, ·)\)
\(\chi_{ 44 }(41, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 1, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 3, ·)\)
\(\chi_{ 44 }(43, ·)\)	\(\chi_{ 44 } ( 43, ·)\)	\(\chi_{ 44 } ( 41, ·)\)	\(\chi_{ 44 } ( 39, ·)\)	\(\chi_{ 44 } ( 37, ·)\)	\(\chi_{ 44 } ( 35, ·)\)	\(\chi_{ 44 } ( 31, ·)\)	\(\chi_{ 44 } ( 29, ·)\)	\(\chi_{ 44 } ( 27, ·)\)	\(\chi_{ 44 } ( 25, ·)\)	\(\chi_{ 44 } ( 23, ·)\)	\(\chi_{ 44 } ( 21, ·)\)	\(\chi_{ 44 } ( 19, ·)\)	\(\chi_{ 44 } ( 17, ·)\)	\(\chi_{ 44 } ( 15, ·)\)	\(\chi_{ 44 } ( 13, ·)\)	\(\chi_{ 44 } ( 9, ·)\)	\(\chi_{ 44 } ( 7, ·)\)	\(\chi_{ 44 } ( 5, ·)\)	\(\chi_{ 44 } ( 3, ·)\)	\(\chi_{ 44 } ( 1, ·)\)

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.