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 $x^{17} - x^{16} - 448 x^{15} + 1309 x^{14} + 75494 x^{13} - 374314 x^{12} - 5597667 x^{11} + 41830550 x^{10} + 136426018 x^{9} - 1919481097 x^{8} + 2548312782 x^{7} + 27117309376 x^{6} - 105628969954 x^{5} + 34101907629 x^{4} + 457076113374 x^{3} - 817186035962 x^{2} + 323264486326 x + 117028501127$

$\times$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 443, ·)$
$\chi_{ 953 }(1, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 443, ·)$
$\chi_{ 953 }(256, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 1, ·)$
$\chi_{ 953 }(770, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 889, ·)$
$\chi_{ 953 }(134, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 276, ·)$
$\chi_{ 953 }(16, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 417, ·)$
$\chi_{ 953 }(276, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 284, ·)$
$\chi_{ 953 }(732, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 256, ·)$
$\chi_{ 953 }(604, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 732, ·)$
$\chi_{ 953 }(417, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 802, ·)$
$\chi_{ 953 }(802, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 770, ·)$
$\chi_{ 953 }(284, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 16, ·)$
$\chi_{ 953 }(238, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 604, ·)$
$\chi_{ 953 }(882, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 949, ·)$
$\chi_{ 953 }(884, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 882, ·)$
$\chi_{ 953 }(949, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 134, ·)$
$\chi_{ 953 }(889, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 884, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 238, ·)$
$\chi_{ 953 }(443, ·)$	$\chi_{ 953 } ( 443, ·)$	$\chi_{ 953 } ( 1, ·)$	$\chi_{ 953 } ( 889, ·)$	$\chi_{ 953 } ( 276, ·)$	$\chi_{ 953 } ( 417, ·)$	$\chi_{ 953 } ( 284, ·)$	$\chi_{ 953 } ( 256, ·)$	$\chi_{ 953 } ( 732, ·)$	$\chi_{ 953 } ( 802, ·)$	$\chi_{ 953 } ( 770, ·)$	$\chi_{ 953 } ( 16, ·)$	$\chi_{ 953 } ( 604, ·)$	$\chi_{ 953 } ( 949, ·)$	$\chi_{ 953 } ( 882, ·)$	$\chi_{ 953 } ( 134, ·)$	$\chi_{ 953 } ( 238, ·)$	$\chi_{ 953 } ( 884, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 443, ·)\)
\(\chi_{ 953 }(1, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 443, ·)\)
\(\chi_{ 953 }(256, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 1, ·)\)
\(\chi_{ 953 }(770, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 889, ·)\)
\(\chi_{ 953 }(134, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 276, ·)\)
\(\chi_{ 953 }(16, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 417, ·)\)
\(\chi_{ 953 }(276, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 284, ·)\)
\(\chi_{ 953 }(732, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 256, ·)\)
\(\chi_{ 953 }(604, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 732, ·)\)
\(\chi_{ 953 }(417, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 802, ·)\)
\(\chi_{ 953 }(802, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 770, ·)\)
\(\chi_{ 953 }(284, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 16, ·)\)
\(\chi_{ 953 }(238, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 604, ·)\)
\(\chi_{ 953 }(882, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 949, ·)\)
\(\chi_{ 953 }(884, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 882, ·)\)
\(\chi_{ 953 }(949, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 134, ·)\)
\(\chi_{ 953 }(889, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 884, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 238, ·)\)
\(\chi_{ 953 }(443, ·)\)	\(\chi_{ 953 } ( 443, ·)\)	\(\chi_{ 953 } ( 1, ·)\)	\(\chi_{ 953 } ( 889, ·)\)	\(\chi_{ 953 } ( 276, ·)\)	\(\chi_{ 953 } ( 417, ·)\)	\(\chi_{ 953 } ( 284, ·)\)	\(\chi_{ 953 } ( 256, ·)\)	\(\chi_{ 953 } ( 732, ·)\)	\(\chi_{ 953 } ( 802, ·)\)	\(\chi_{ 953 } ( 770, ·)\)	\(\chi_{ 953 } ( 16, ·)\)	\(\chi_{ 953 } ( 604, ·)\)	\(\chi_{ 953 } ( 949, ·)\)	\(\chi_{ 953 } ( 882, ·)\)	\(\chi_{ 953 } ( 134, ·)\)	\(\chi_{ 953 } ( 238, ·)\)	\(\chi_{ 953 } ( 884, ·)\)

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.