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^{22} $ $\mathstrut -\mathstrut x^{21} $ $\mathstrut +\mathstrut x^{20} $ $\mathstrut -\mathstrut x^{19} $ $\mathstrut +\mathstrut x^{18} $ $\mathstrut -\mathstrut x^{17} $ $\mathstrut +\mathstrut x^{16} $ $\mathstrut -\mathstrut x^{15} $ $\mathstrut +\mathstrut x^{14} $ $\mathstrut -\mathstrut x^{13} $ $\mathstrut +\mathstrut x^{12} $ $\mathstrut -\mathstrut x^{11} $ $\mathstrut +\mathstrut x^{10} $ $\mathstrut -\mathstrut x^{9} $ $\mathstrut +\mathstrut x^{8} $ $\mathstrut -\mathstrut x^{7} $ $\mathstrut +\mathstrut x^{6} $ $\mathstrut -\mathstrut x^{5} $ $\mathstrut +\mathstrut x^{4} $ $\mathstrut -\mathstrut x^{3} $ $\mathstrut +\mathstrut x^{2} $ $\mathstrut -\mathstrut x $ $\mathstrut +\mathstrut 1 $

$\times$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 22, ·)$
$\chi_{ 23 }(1, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 22, ·)$
$\chi_{ 23 }(2, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 21, ·)$
$\chi_{ 23 }(3, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 20, ·)$
$\chi_{ 23 }(4, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 19, ·)$
$\chi_{ 23 }(5, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 18, ·)$
$\chi_{ 23 }(6, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 17, ·)$
$\chi_{ 23 }(7, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 16, ·)$
$\chi_{ 23 }(8, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 15, ·)$
$\chi_{ 23 }(9, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 14, ·)$
$\chi_{ 23 }(10, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 13, ·)$
$\chi_{ 23 }(11, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 12, ·)$
$\chi_{ 23 }(12, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 11, ·)$
$\chi_{ 23 }(13, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 10, ·)$
$\chi_{ 23 }(14, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 9, ·)$
$\chi_{ 23 }(15, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 8, ·)$
$\chi_{ 23 }(16, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 7, ·)$
$\chi_{ 23 }(17, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 6, ·)$
$\chi_{ 23 }(18, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 5, ·)$
$\chi_{ 23 }(19, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 4, ·)$
$\chi_{ 23 }(20, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 3, ·)$
$\chi_{ 23 }(21, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 1, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 2, ·)$
$\chi_{ 23 }(22, ·)$	$\chi_{ 23 } ( 22, ·)$	$\chi_{ 23 } ( 21, ·)$	$\chi_{ 23 } ( 20, ·)$	$\chi_{ 23 } ( 19, ·)$	$\chi_{ 23 } ( 18, ·)$	$\chi_{ 23 } ( 17, ·)$	$\chi_{ 23 } ( 16, ·)$	$\chi_{ 23 } ( 15, ·)$	$\chi_{ 23 } ( 14, ·)$	$\chi_{ 23 } ( 13, ·)$	$\chi_{ 23 } ( 12, ·)$	$\chi_{ 23 } ( 11, ·)$	$\chi_{ 23 } ( 10, ·)$	$\chi_{ 23 } ( 9, ·)$	$\chi_{ 23 } ( 8, ·)$	$\chi_{ 23 } ( 7, ·)$	$\chi_{ 23 } ( 6, ·)$	$\chi_{ 23 } ( 5, ·)$	$\chi_{ 23 } ( 4, ·)$	$\chi_{ 23 } ( 3, ·)$	$\chi_{ 23 } ( 2, ·)$	$\chi_{ 23 } ( 1, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 22, ·)\)
\(\chi_{ 23 }(1, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 22, ·)\)
\(\chi_{ 23 }(2, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 21, ·)\)
\(\chi_{ 23 }(3, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 20, ·)\)
\(\chi_{ 23 }(4, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 19, ·)\)
\(\chi_{ 23 }(5, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 18, ·)\)
\(\chi_{ 23 }(6, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 17, ·)\)
\(\chi_{ 23 }(7, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 16, ·)\)
\(\chi_{ 23 }(8, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 15, ·)\)
\(\chi_{ 23 }(9, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 14, ·)\)
\(\chi_{ 23 }(10, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 13, ·)\)
\(\chi_{ 23 }(11, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 12, ·)\)
\(\chi_{ 23 }(12, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 11, ·)\)
\(\chi_{ 23 }(13, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 10, ·)\)
\(\chi_{ 23 }(14, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 9, ·)\)
\(\chi_{ 23 }(15, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 8, ·)\)
\(\chi_{ 23 }(16, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 7, ·)\)
\(\chi_{ 23 }(17, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 6, ·)\)
\(\chi_{ 23 }(18, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 5, ·)\)
\(\chi_{ 23 }(19, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 4, ·)\)
\(\chi_{ 23 }(20, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 3, ·)\)
\(\chi_{ 23 }(21, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 1, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 2, ·)\)
\(\chi_{ 23 }(22, ·)\)	\(\chi_{ 23 } ( 22, ·)\)	\(\chi_{ 23 } ( 21, ·)\)	\(\chi_{ 23 } ( 20, ·)\)	\(\chi_{ 23 } ( 19, ·)\)	\(\chi_{ 23 } ( 18, ·)\)	\(\chi_{ 23 } ( 17, ·)\)	\(\chi_{ 23 } ( 16, ·)\)	\(\chi_{ 23 } ( 15, ·)\)	\(\chi_{ 23 } ( 14, ·)\)	\(\chi_{ 23 } ( 13, ·)\)	\(\chi_{ 23 } ( 12, ·)\)	\(\chi_{ 23 } ( 11, ·)\)	\(\chi_{ 23 } ( 10, ·)\)	\(\chi_{ 23 } ( 9, ·)\)	\(\chi_{ 23 } ( 8, ·)\)	\(\chi_{ 23 } ( 7, ·)\)	\(\chi_{ 23 } ( 6, ·)\)	\(\chi_{ 23 } ( 5, ·)\)	\(\chi_{ 23 } ( 4, ·)\)	\(\chi_{ 23 } ( 3, ·)\)	\(\chi_{ 23 } ( 2, ·)\)	\(\chi_{ 23 } ( 1, ·)\)

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.