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^{28} + 197 x^{24} + 9834 x^{20} + 111451 x^{16} + 395946 x^{12} + 345566 x^{8} + 1437 x^{4} + 1 $

$\times$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 181, ·)$
$\chi_{ 232 }(1, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 181, ·)$
$\chi_{ 232 }(107, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 111, ·)$
$\chi_{ 232 }(197, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 161, ·)$
$\chi_{ 232 }(7, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 107, ·)$
$\chi_{ 232 }(139, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 103, ·)$
$\chi_{ 232 }(141, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 1, ·)$
$\chi_{ 232 }(81, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 45, ·)$
$\chi_{ 232 }(83, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 175, ·)$
$\chi_{ 232 }(23, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 219, ·)$
$\chi_{ 232 }(25, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 117, ·)$
$\chi_{ 232 }(219, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 199, ·)$
$\chi_{ 232 }(223, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 227, ·)$
$\chi_{ 232 }(161, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 141, ·)$
$\chi_{ 232 }(227, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 23, ·)$
$\chi_{ 232 }(165, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 169, ·)$
$\chi_{ 232 }(65, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 165, ·)$
$\chi_{ 232 }(103, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 83, ·)$
$\chi_{ 232 }(169, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 197, ·)$
$\chi_{ 232 }(199, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 59, ·)$
$\chi_{ 232 }(45, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 25, ·)$
$\chi_{ 232 }(175, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 123, ·)$
$\chi_{ 232 }(49, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 53, ·)$
$\chi_{ 232 }(123, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 223, ·)$
$\chi_{ 232 }(53, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 81, ·)$
$\chi_{ 232 }(111, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 139, ·)$
$\chi_{ 232 }(59, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 7, ·)$
$\chi_{ 232 }(117, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 49, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 65, ·)$
$\chi_{ 232 }(181, ·)$	$\chi_{ 232 } ( 181, ·)$	$\chi_{ 232 } ( 111, ·)$	$\chi_{ 232 } ( 161, ·)$	$\chi_{ 232 } ( 107, ·)$	$\chi_{ 232 } ( 103, ·)$	$\chi_{ 232 } ( 1, ·)$	$\chi_{ 232 } ( 45, ·)$	$\chi_{ 232 } ( 175, ·)$	$\chi_{ 232 } ( 219, ·)$	$\chi_{ 232 } ( 117, ·)$	$\chi_{ 232 } ( 199, ·)$	$\chi_{ 232 } ( 227, ·)$	$\chi_{ 232 } ( 141, ·)$	$\chi_{ 232 } ( 23, ·)$	$\chi_{ 232 } ( 169, ·)$	$\chi_{ 232 } ( 165, ·)$	$\chi_{ 232 } ( 83, ·)$	$\chi_{ 232 } ( 197, ·)$	$\chi_{ 232 } ( 59, ·)$	$\chi_{ 232 } ( 25, ·)$	$\chi_{ 232 } ( 123, ·)$	$\chi_{ 232 } ( 53, ·)$	$\chi_{ 232 } ( 223, ·)$	$\chi_{ 232 } ( 81, ·)$	$\chi_{ 232 } ( 139, ·)$	$\chi_{ 232 } ( 7, ·)$	$\chi_{ 232 } ( 65, ·)$	$\chi_{ 232 } ( 49, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 181, ·)\)
\(\chi_{ 232 }(1, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 181, ·)\)
\(\chi_{ 232 }(107, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 111, ·)\)
\(\chi_{ 232 }(197, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 161, ·)\)
\(\chi_{ 232 }(7, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 107, ·)\)
\(\chi_{ 232 }(139, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 103, ·)\)
\(\chi_{ 232 }(141, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 1, ·)\)
\(\chi_{ 232 }(81, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 45, ·)\)
\(\chi_{ 232 }(83, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 175, ·)\)
\(\chi_{ 232 }(23, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 219, ·)\)
\(\chi_{ 232 }(25, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 117, ·)\)
\(\chi_{ 232 }(219, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 199, ·)\)
\(\chi_{ 232 }(223, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 227, ·)\)
\(\chi_{ 232 }(161, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 141, ·)\)
\(\chi_{ 232 }(227, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 23, ·)\)
\(\chi_{ 232 }(165, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 169, ·)\)
\(\chi_{ 232 }(65, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 165, ·)\)
\(\chi_{ 232 }(103, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 83, ·)\)
\(\chi_{ 232 }(169, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 197, ·)\)
\(\chi_{ 232 }(199, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 59, ·)\)
\(\chi_{ 232 }(45, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 25, ·)\)
\(\chi_{ 232 }(175, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 123, ·)\)
\(\chi_{ 232 }(49, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 53, ·)\)
\(\chi_{ 232 }(123, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 223, ·)\)
\(\chi_{ 232 }(53, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 81, ·)\)
\(\chi_{ 232 }(111, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 139, ·)\)
\(\chi_{ 232 }(59, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 7, ·)\)
\(\chi_{ 232 }(117, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 49, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 65, ·)\)
\(\chi_{ 232 }(181, ·)\)	\(\chi_{ 232 } ( 181, ·)\)	\(\chi_{ 232 } ( 111, ·)\)	\(\chi_{ 232 } ( 161, ·)\)	\(\chi_{ 232 } ( 107, ·)\)	\(\chi_{ 232 } ( 103, ·)\)	\(\chi_{ 232 } ( 1, ·)\)	\(\chi_{ 232 } ( 45, ·)\)	\(\chi_{ 232 } ( 175, ·)\)	\(\chi_{ 232 } ( 219, ·)\)	\(\chi_{ 232 } ( 117, ·)\)	\(\chi_{ 232 } ( 199, ·)\)	\(\chi_{ 232 } ( 227, ·)\)	\(\chi_{ 232 } ( 141, ·)\)	\(\chi_{ 232 } ( 23, ·)\)	\(\chi_{ 232 } ( 169, ·)\)	\(\chi_{ 232 } ( 165, ·)\)	\(\chi_{ 232 } ( 83, ·)\)	\(\chi_{ 232 } ( 197, ·)\)	\(\chi_{ 232 } ( 59, ·)\)	\(\chi_{ 232 } ( 25, ·)\)	\(\chi_{ 232 } ( 123, ·)\)	\(\chi_{ 232 } ( 53, ·)\)	\(\chi_{ 232 } ( 223, ·)\)	\(\chi_{ 232 } ( 81, ·)\)	\(\chi_{ 232 } ( 139, ·)\)	\(\chi_{ 232 } ( 7, ·)\)	\(\chi_{ 232 } ( 65, ·)\)	\(\chi_{ 232 } ( 49, ·)\)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

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.