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 $x^{24} + x^{22} - x^{18} - x^{16} + x^{12} - x^{8} - x^{6} + x^{2} + 1$

$\times$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 61, ·)$
$\chi_{ 84 }(1, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 61, ·)$
$\chi_{ 84 }(67, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 55, ·)$
$\chi_{ 84 }(5, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 53, ·)$
$\chi_{ 84 }(65, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 17, ·)$
$\chi_{ 84 }(73, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 1, ·)$
$\chi_{ 84 }(11, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 83, ·)$
$\chi_{ 84 }(13, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 37, ·)$
$\chi_{ 84 }(79, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 31, ·)$
$\chi_{ 84 }(17, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 29, ·)$
$\chi_{ 84 }(19, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 67, ·)$
$\chi_{ 84 }(23, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 59, ·)$
$\chi_{ 84 }(25, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 13, ·)$
$\chi_{ 84 }(71, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 47, ·)$
$\chi_{ 84 }(29, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 5, ·)$
$\chi_{ 84 }(31, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 43, ·)$
$\chi_{ 84 }(37, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 73, ·)$
$\chi_{ 84 }(41, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 65, ·)$
$\chi_{ 84 }(43, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 19, ·)$
$\chi_{ 84 }(47, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 11, ·)$
$\chi_{ 84 }(83, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 23, ·)$
$\chi_{ 84 }(53, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 41, ·)$
$\chi_{ 84 }(55, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 79, ·)$
$\chi_{ 84 }(59, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 25, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 71, ·)$
$\chi_{ 84 }(61, ·)$	$\chi_{ 84 } ( 61, ·)$	$\chi_{ 84 } ( 55, ·)$	$\chi_{ 84 } ( 53, ·)$	$\chi_{ 84 } ( 17, ·)$	$\chi_{ 84 } ( 1, ·)$	$\chi_{ 84 } ( 83, ·)$	$\chi_{ 84 } ( 37, ·)$	$\chi_{ 84 } ( 31, ·)$	$\chi_{ 84 } ( 29, ·)$	$\chi_{ 84 } ( 67, ·)$	$\chi_{ 84 } ( 59, ·)$	$\chi_{ 84 } ( 13, ·)$	$\chi_{ 84 } ( 47, ·)$	$\chi_{ 84 } ( 5, ·)$	$\chi_{ 84 } ( 43, ·)$	$\chi_{ 84 } ( 73, ·)$	$\chi_{ 84 } ( 65, ·)$	$\chi_{ 84 } ( 19, ·)$	$\chi_{ 84 } ( 11, ·)$	$\chi_{ 84 } ( 23, ·)$	$\chi_{ 84 } ( 41, ·)$	$\chi_{ 84 } ( 79, ·)$	$\chi_{ 84 } ( 71, ·)$	$\chi_{ 84 } ( 25, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 61, ·)\)
\(\chi_{ 84 }(1, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 61, ·)\)
\(\chi_{ 84 }(67, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 55, ·)\)
\(\chi_{ 84 }(5, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 53, ·)\)
\(\chi_{ 84 }(65, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 17, ·)\)
\(\chi_{ 84 }(73, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 1, ·)\)
\(\chi_{ 84 }(11, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 83, ·)\)
\(\chi_{ 84 }(13, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 37, ·)\)
\(\chi_{ 84 }(79, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 31, ·)\)
\(\chi_{ 84 }(17, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 29, ·)\)
\(\chi_{ 84 }(19, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 67, ·)\)
\(\chi_{ 84 }(23, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 59, ·)\)
\(\chi_{ 84 }(25, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 13, ·)\)
\(\chi_{ 84 }(71, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 47, ·)\)
\(\chi_{ 84 }(29, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 5, ·)\)
\(\chi_{ 84 }(31, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 43, ·)\)
\(\chi_{ 84 }(37, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 73, ·)\)
\(\chi_{ 84 }(41, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 65, ·)\)
\(\chi_{ 84 }(43, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 19, ·)\)
\(\chi_{ 84 }(47, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 11, ·)\)
\(\chi_{ 84 }(83, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 23, ·)\)
\(\chi_{ 84 }(53, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 41, ·)\)
\(\chi_{ 84 }(55, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 79, ·)\)
\(\chi_{ 84 }(59, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 25, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 71, ·)\)
\(\chi_{ 84 }(61, ·)\)	\(\chi_{ 84 } ( 61, ·)\)	\(\chi_{ 84 } ( 55, ·)\)	\(\chi_{ 84 } ( 53, ·)\)	\(\chi_{ 84 } ( 17, ·)\)	\(\chi_{ 84 } ( 1, ·)\)	\(\chi_{ 84 } ( 83, ·)\)	\(\chi_{ 84 } ( 37, ·)\)	\(\chi_{ 84 } ( 31, ·)\)	\(\chi_{ 84 } ( 29, ·)\)	\(\chi_{ 84 } ( 67, ·)\)	\(\chi_{ 84 } ( 59, ·)\)	\(\chi_{ 84 } ( 13, ·)\)	\(\chi_{ 84 } ( 47, ·)\)	\(\chi_{ 84 } ( 5, ·)\)	\(\chi_{ 84 } ( 43, ·)\)	\(\chi_{ 84 } ( 73, ·)\)	\(\chi_{ 84 } ( 65, ·)\)	\(\chi_{ 84 } ( 19, ·)\)	\(\chi_{ 84 } ( 11, ·)\)	\(\chi_{ 84 } ( 23, ·)\)	\(\chi_{ 84 } ( 41, ·)\)	\(\chi_{ 84 } ( 79, ·)\)	\(\chi_{ 84 } ( 71, ·)\)	\(\chi_{ 84 } ( 25, ·)\)

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.