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^{26} - x^{25} - 25 x^{24} + 24 x^{23} + 276 x^{22} - 253 x^{21} - 1771 x^{20} + 1540 x^{19} + 7315 x^{18} - 5985 x^{17} - 20349 x^{16} + 15504 x^{15} + 38760 x^{14} - 27132 x^{13} - 50388 x^{12} + 31824 x^{11} + 43758 x^{10} - 24310 x^{9} - 24310 x^{8} + 11440 x^{7} + 8008 x^{6} - 3003 x^{5} - 1365 x^{4} + 364 x^{3} + 91 x^{2} - 13 x - 1 $

$\times$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 52, ·)$
$\chi_{ 53 }(1, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 52, ·)$
$\chi_{ 53 }(4, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 49, ·)$
$\chi_{ 53 }(6, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 47, ·)$
$\chi_{ 53 }(7, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 46, ·)$
$\chi_{ 53 }(9, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 44, ·)$
$\chi_{ 53 }(10, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 43, ·)$
$\chi_{ 53 }(11, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 42, ·)$
$\chi_{ 53 }(13, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 40, ·)$
$\chi_{ 53 }(15, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 38, ·)$
$\chi_{ 53 }(16, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 37, ·)$
$\chi_{ 53 }(17, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 36, ·)$
$\chi_{ 53 }(24, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 29, ·)$
$\chi_{ 53 }(25, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 28, ·)$
$\chi_{ 53 }(28, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 25, ·)$
$\chi_{ 53 }(29, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 24, ·)$
$\chi_{ 53 }(36, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 17, ·)$
$\chi_{ 53 }(37, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 16, ·)$
$\chi_{ 53 }(38, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 15, ·)$
$\chi_{ 53 }(40, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 13, ·)$
$\chi_{ 53 }(42, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 11, ·)$
$\chi_{ 53 }(43, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 10, ·)$
$\chi_{ 53 }(44, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 9, ·)$
$\chi_{ 53 }(46, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 7, ·)$
$\chi_{ 53 }(47, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 6, ·)$
$\chi_{ 53 }(49, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 1, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 4, ·)$
$\chi_{ 53 }(52, ·)$	$\chi_{ 53 } ( 52, ·)$	$\chi_{ 53 } ( 49, ·)$	$\chi_{ 53 } ( 47, ·)$	$\chi_{ 53 } ( 46, ·)$	$\chi_{ 53 } ( 44, ·)$	$\chi_{ 53 } ( 43, ·)$	$\chi_{ 53 } ( 42, ·)$	$\chi_{ 53 } ( 40, ·)$	$\chi_{ 53 } ( 38, ·)$	$\chi_{ 53 } ( 37, ·)$	$\chi_{ 53 } ( 36, ·)$	$\chi_{ 53 } ( 29, ·)$	$\chi_{ 53 } ( 28, ·)$	$\chi_{ 53 } ( 25, ·)$	$\chi_{ 53 } ( 24, ·)$	$\chi_{ 53 } ( 17, ·)$	$\chi_{ 53 } ( 16, ·)$	$\chi_{ 53 } ( 15, ·)$	$\chi_{ 53 } ( 13, ·)$	$\chi_{ 53 } ( 11, ·)$	$\chi_{ 53 } ( 10, ·)$	$\chi_{ 53 } ( 9, ·)$	$\chi_{ 53 } ( 7, ·)$	$\chi_{ 53 } ( 6, ·)$	$\chi_{ 53 } ( 4, ·)$	$\chi_{ 53 } ( 1, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 52, ·)\)
\(\chi_{ 53 }(1, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 52, ·)\)
\(\chi_{ 53 }(4, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 49, ·)\)
\(\chi_{ 53 }(6, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 47, ·)\)
\(\chi_{ 53 }(7, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 46, ·)\)
\(\chi_{ 53 }(9, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 44, ·)\)
\(\chi_{ 53 }(10, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 43, ·)\)
\(\chi_{ 53 }(11, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 42, ·)\)
\(\chi_{ 53 }(13, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 40, ·)\)
\(\chi_{ 53 }(15, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 38, ·)\)
\(\chi_{ 53 }(16, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 37, ·)\)
\(\chi_{ 53 }(17, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 36, ·)\)
\(\chi_{ 53 }(24, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 29, ·)\)
\(\chi_{ 53 }(25, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 28, ·)\)
\(\chi_{ 53 }(28, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 25, ·)\)
\(\chi_{ 53 }(29, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 24, ·)\)
\(\chi_{ 53 }(36, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 17, ·)\)
\(\chi_{ 53 }(37, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 16, ·)\)
\(\chi_{ 53 }(38, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 15, ·)\)
\(\chi_{ 53 }(40, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 13, ·)\)
\(\chi_{ 53 }(42, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 11, ·)\)
\(\chi_{ 53 }(43, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 10, ·)\)
\(\chi_{ 53 }(44, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 9, ·)\)
\(\chi_{ 53 }(46, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 7, ·)\)
\(\chi_{ 53 }(47, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 6, ·)\)
\(\chi_{ 53 }(49, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 1, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 4, ·)\)
\(\chi_{ 53 }(52, ·)\)	\(\chi_{ 53 } ( 52, ·)\)	\(\chi_{ 53 } ( 49, ·)\)	\(\chi_{ 53 } ( 47, ·)\)	\(\chi_{ 53 } ( 46, ·)\)	\(\chi_{ 53 } ( 44, ·)\)	\(\chi_{ 53 } ( 43, ·)\)	\(\chi_{ 53 } ( 42, ·)\)	\(\chi_{ 53 } ( 40, ·)\)	\(\chi_{ 53 } ( 38, ·)\)	\(\chi_{ 53 } ( 37, ·)\)	\(\chi_{ 53 } ( 36, ·)\)	\(\chi_{ 53 } ( 29, ·)\)	\(\chi_{ 53 } ( 28, ·)\)	\(\chi_{ 53 } ( 25, ·)\)	\(\chi_{ 53 } ( 24, ·)\)	\(\chi_{ 53 } ( 17, ·)\)	\(\chi_{ 53 } ( 16, ·)\)	\(\chi_{ 53 } ( 15, ·)\)	\(\chi_{ 53 } ( 13, ·)\)	\(\chi_{ 53 } ( 11, ·)\)	\(\chi_{ 53 } ( 10, ·)\)	\(\chi_{ 53 } ( 9, ·)\)	\(\chi_{ 53 } ( 7, ·)\)	\(\chi_{ 53 } ( 6, ·)\)	\(\chi_{ 53 } ( 4, ·)\)	\(\chi_{ 53 } ( 1, ·)\)

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.