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^{27} - 27 x^{25} + 324 x^{23} - 2277 x^{21} + 10395 x^{19} - 32319 x^{17} + 69768 x^{15} - 104652 x^{13} + 107406 x^{11} - 72930 x^{9} + 30888 x^{7} - 7371 x^{5} + 819 x^{3} - 27 x - 1 $

$\times$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 61, ·)$
$\chi_{ 81 }(1, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 61, ·)$
$\chi_{ 81 }(64, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 16, ·)$
$\chi_{ 81 }(67, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 37, ·)$
$\chi_{ 81 }(4, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 1, ·)$
$\chi_{ 81 }(70, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 58, ·)$
$\chi_{ 81 }(7, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 22, ·)$
$\chi_{ 81 }(73, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 79, ·)$
$\chi_{ 81 }(10, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 43, ·)$
$\chi_{ 81 }(76, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 19, ·)$
$\chi_{ 81 }(13, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 64, ·)$
$\chi_{ 81 }(79, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 40, ·)$
$\chi_{ 81 }(16, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 4, ·)$
$\chi_{ 81 }(19, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 25, ·)$
$\chi_{ 81 }(22, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 46, ·)$
$\chi_{ 81 }(25, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 67, ·)$
$\chi_{ 81 }(28, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 7, ·)$
$\chi_{ 81 }(31, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 28, ·)$
$\chi_{ 81 }(34, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 49, ·)$
$\chi_{ 81 }(37, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 70, ·)$
$\chi_{ 81 }(40, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 10, ·)$
$\chi_{ 81 }(43, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 31, ·)$
$\chi_{ 81 }(46, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 52, ·)$
$\chi_{ 81 }(49, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 73, ·)$
$\chi_{ 81 }(52, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 13, ·)$
$\chi_{ 81 }(55, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 34, ·)$
$\chi_{ 81 }(58, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 76, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 55, ·)$
$\chi_{ 81 }(61, ·)$	$\chi_{ 81 } ( 61, ·)$	$\chi_{ 81 } ( 16, ·)$	$\chi_{ 81 } ( 37, ·)$	$\chi_{ 81 } ( 1, ·)$	$\chi_{ 81 } ( 58, ·)$	$\chi_{ 81 } ( 22, ·)$	$\chi_{ 81 } ( 79, ·)$	$\chi_{ 81 } ( 43, ·)$	$\chi_{ 81 } ( 19, ·)$	$\chi_{ 81 } ( 64, ·)$	$\chi_{ 81 } ( 40, ·)$	$\chi_{ 81 } ( 4, ·)$	$\chi_{ 81 } ( 25, ·)$	$\chi_{ 81 } ( 46, ·)$	$\chi_{ 81 } ( 67, ·)$	$\chi_{ 81 } ( 7, ·)$	$\chi_{ 81 } ( 28, ·)$	$\chi_{ 81 } ( 49, ·)$	$\chi_{ 81 } ( 70, ·)$	$\chi_{ 81 } ( 10, ·)$	$\chi_{ 81 } ( 31, ·)$	$\chi_{ 81 } ( 52, ·)$	$\chi_{ 81 } ( 73, ·)$	$\chi_{ 81 } ( 13, ·)$	$\chi_{ 81 } ( 34, ·)$	$\chi_{ 81 } ( 55, ·)$	$\chi_{ 81 } ( 76, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 61, ·)\)
\(\chi_{ 81 }(1, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 61, ·)\)
\(\chi_{ 81 }(64, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 16, ·)\)
\(\chi_{ 81 }(67, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 37, ·)\)
\(\chi_{ 81 }(4, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 1, ·)\)
\(\chi_{ 81 }(70, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 58, ·)\)
\(\chi_{ 81 }(7, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 22, ·)\)
\(\chi_{ 81 }(73, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 79, ·)\)
\(\chi_{ 81 }(10, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 43, ·)\)
\(\chi_{ 81 }(76, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 19, ·)\)
\(\chi_{ 81 }(13, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 64, ·)\)
\(\chi_{ 81 }(79, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 40, ·)\)
\(\chi_{ 81 }(16, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 4, ·)\)
\(\chi_{ 81 }(19, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 25, ·)\)
\(\chi_{ 81 }(22, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 46, ·)\)
\(\chi_{ 81 }(25, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 67, ·)\)
\(\chi_{ 81 }(28, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 7, ·)\)
\(\chi_{ 81 }(31, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 28, ·)\)
\(\chi_{ 81 }(34, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 49, ·)\)
\(\chi_{ 81 }(37, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 70, ·)\)
\(\chi_{ 81 }(40, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 10, ·)\)
\(\chi_{ 81 }(43, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 31, ·)\)
\(\chi_{ 81 }(46, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 52, ·)\)
\(\chi_{ 81 }(49, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 73, ·)\)
\(\chi_{ 81 }(52, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 13, ·)\)
\(\chi_{ 81 }(55, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 34, ·)\)
\(\chi_{ 81 }(58, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 76, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 55, ·)\)
\(\chi_{ 81 }(61, ·)\)	\(\chi_{ 81 } ( 61, ·)\)	\(\chi_{ 81 } ( 16, ·)\)	\(\chi_{ 81 } ( 37, ·)\)	\(\chi_{ 81 } ( 1, ·)\)	\(\chi_{ 81 } ( 58, ·)\)	\(\chi_{ 81 } ( 22, ·)\)	\(\chi_{ 81 } ( 79, ·)\)	\(\chi_{ 81 } ( 43, ·)\)	\(\chi_{ 81 } ( 19, ·)\)	\(\chi_{ 81 } ( 64, ·)\)	\(\chi_{ 81 } ( 40, ·)\)	\(\chi_{ 81 } ( 4, ·)\)	\(\chi_{ 81 } ( 25, ·)\)	\(\chi_{ 81 } ( 46, ·)\)	\(\chi_{ 81 } ( 67, ·)\)	\(\chi_{ 81 } ( 7, ·)\)	\(\chi_{ 81 } ( 28, ·)\)	\(\chi_{ 81 } ( 49, ·)\)	\(\chi_{ 81 } ( 70, ·)\)	\(\chi_{ 81 } ( 10, ·)\)	\(\chi_{ 81 } ( 31, ·)\)	\(\chi_{ 81 } ( 52, ·)\)	\(\chi_{ 81 } ( 73, ·)\)	\(\chi_{ 81 } ( 13, ·)\)	\(\chi_{ 81 } ( 34, ·)\)	\(\chi_{ 81 } ( 55, ·)\)	\(\chi_{ 81 } ( 76, ·)\)

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.