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^{24} - 17x^{21} + 218x^{18} - 1277x^{15} + 5609x^{12} + 3403x^{9} - 692x^{6} + 945x^{3} + 729 $ x^24 - 17*x^21 + 218*x^18 - 1277*x^15 + 5609*x^12 + 3403*x^9 - 692*x^6 + 945*x^3 + 729

$\times$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 53, ·)$
$\chi_{ 117 }(1, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 53, ·)$
$\chi_{ 117 }(64, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 116, ·)$
$\chi_{ 117 }(5, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 31, ·)$
$\chi_{ 117 }(70, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 83, ·)$
$\chi_{ 117 }(8, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 73, ·)$
$\chi_{ 117 }(73, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 8, ·)$
$\chi_{ 117 }(77, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 103, ·)$
$\chi_{ 117 }(14, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 40, ·)$
$\chi_{ 117 }(79, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 92, ·)$
$\chi_{ 117 }(83, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 70, ·)$
$\chi_{ 117 }(86, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 112, ·)$
$\chi_{ 117 }(25, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 38, ·)$
$\chi_{ 117 }(92, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 79, ·)$
$\chi_{ 117 }(31, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 5, ·)$
$\chi_{ 117 }(34, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 47, ·)$
$\chi_{ 117 }(38, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 25, ·)$
$\chi_{ 117 }(103, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 77, ·)$
$\chi_{ 117 }(40, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 14, ·)$
$\chi_{ 117 }(44, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 109, ·)$
$\chi_{ 117 }(109, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 44, ·)$
$\chi_{ 117 }(47, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 34, ·)$
$\chi_{ 117 }(112, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 86, ·)$
$\chi_{ 117 }(116, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 1, ·)$	$\chi_{ 117 } ( 64, ·)$
$\chi_{ 117 }(53, ·)$	$\chi_{ 117 } ( 53, ·)$	$\chi_{ 117 } ( 116, ·)$	$\chi_{ 117 } ( 31, ·)$	$\chi_{ 117 } ( 83, ·)$	$\chi_{ 117 } ( 73, ·)$	$\chi_{ 117 } ( 8, ·)$	$\chi_{ 117 } ( 103, ·)$	$\chi_{ 117 } ( 40, ·)$	$\chi_{ 117 } ( 92, ·)$	$\chi_{ 117 } ( 70, ·)$	$\chi_{ 117 } ( 112, ·)$	$\chi_{ 117 } ( 38, ·)$	$\chi_{ 117 } ( 79, ·)$	$\chi_{ 117 } ( 5, ·)$	$\chi_{ 117 } ( 47, ·)$	$\chi_{ 117 } ( 25, ·)$	$\chi_{ 117 } ( 77, ·)$	$\chi_{ 117 } ( 14, ·)$	$\chi_{ 117 } ( 109, ·)$	$\chi_{ 117 } ( 44, ·)$	$\chi_{ 117 } ( 34, ·)$	$\chi_{ 117 } ( 86, ·)$	$\chi_{ 117 } ( 64, ·)$	$\chi_{ 117 } ( 1, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 53, ·)\)
\(\chi_{ 117 }(1, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 53, ·)\)
\(\chi_{ 117 }(64, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 116, ·)\)
\(\chi_{ 117 }(5, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 31, ·)\)
\(\chi_{ 117 }(70, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 83, ·)\)
\(\chi_{ 117 }(8, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 73, ·)\)
\(\chi_{ 117 }(73, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 8, ·)\)
\(\chi_{ 117 }(77, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 103, ·)\)
\(\chi_{ 117 }(14, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 40, ·)\)
\(\chi_{ 117 }(79, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 92, ·)\)
\(\chi_{ 117 }(83, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 70, ·)\)
\(\chi_{ 117 }(86, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 112, ·)\)
\(\chi_{ 117 }(25, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 38, ·)\)
\(\chi_{ 117 }(92, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 79, ·)\)
\(\chi_{ 117 }(31, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 5, ·)\)
\(\chi_{ 117 }(34, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 47, ·)\)
\(\chi_{ 117 }(38, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 25, ·)\)
\(\chi_{ 117 }(103, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 77, ·)\)
\(\chi_{ 117 }(40, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 14, ·)\)
\(\chi_{ 117 }(44, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 109, ·)\)
\(\chi_{ 117 }(109, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 44, ·)\)
\(\chi_{ 117 }(47, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 34, ·)\)
\(\chi_{ 117 }(112, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 86, ·)\)
\(\chi_{ 117 }(116, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 1, ·)\)	\(\chi_{ 117 } ( 64, ·)\)
\(\chi_{ 117 }(53, ·)\)	\(\chi_{ 117 } ( 53, ·)\)	\(\chi_{ 117 } ( 116, ·)\)	\(\chi_{ 117 } ( 31, ·)\)	\(\chi_{ 117 } ( 83, ·)\)	\(\chi_{ 117 } ( 73, ·)\)	\(\chi_{ 117 } ( 8, ·)\)	\(\chi_{ 117 } ( 103, ·)\)	\(\chi_{ 117 } ( 40, ·)\)	\(\chi_{ 117 } ( 92, ·)\)	\(\chi_{ 117 } ( 70, ·)\)	\(\chi_{ 117 } ( 112, ·)\)	\(\chi_{ 117 } ( 38, ·)\)	\(\chi_{ 117 } ( 79, ·)\)	\(\chi_{ 117 } ( 5, ·)\)	\(\chi_{ 117 } ( 47, ·)\)	\(\chi_{ 117 } ( 25, ·)\)	\(\chi_{ 117 } ( 77, ·)\)	\(\chi_{ 117 } ( 14, ·)\)	\(\chi_{ 117 } ( 109, ·)\)	\(\chi_{ 117 } ( 44, ·)\)	\(\chi_{ 117 } ( 34, ·)\)	\(\chi_{ 117 } ( 86, ·)\)	\(\chi_{ 117 } ( 64, ·)\)	\(\chi_{ 117 } ( 1, ·)\)

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.