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^{25} - 50 x^{23} + 1025 x^{21} - 11250 x^{19} - 125 x^{18} + 72525 x^{17} + 3100 x^{16} - 283885 x^{15} - 28375 x^{14} + 674550 x^{13} + 121800 x^{12} - 942450 x^{11} - 261005 x^{10} + 718625 x^{9} + 269475 x^{8} - 258425 x^{7} - 117125 x^{6} + 33010 x^{5} + 16625 x^{4} - 1100 x^{3} - 650 x^{2} - 50 x - 1 $

$\times$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 61, ·)$
$\chi_{ 125 }(1, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 61, ·)$
$\chi_{ 125 }(66, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 26, ·)$
$\chi_{ 125 }(6, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 116, ·)$
$\chi_{ 125 }(71, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 81, ·)$
$\chi_{ 125 }(11, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 46, ·)$
$\chi_{ 125 }(76, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 11, ·)$
$\chi_{ 125 }(16, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 101, ·)$
$\chi_{ 125 }(81, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 66, ·)$
$\chi_{ 125 }(21, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 31, ·)$
$\chi_{ 125 }(86, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 121, ·)$
$\chi_{ 125 }(26, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 86, ·)$
$\chi_{ 125 }(91, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 51, ·)$
$\chi_{ 125 }(31, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 16, ·)$
$\chi_{ 125 }(96, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 106, ·)$
$\chi_{ 125 }(36, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 71, ·)$
$\chi_{ 125 }(101, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 36, ·)$
$\chi_{ 125 }(41, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 1, ·)$
$\chi_{ 125 }(106, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 91, ·)$
$\chi_{ 125 }(46, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 56, ·)$
$\chi_{ 125 }(111, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 21, ·)$
$\chi_{ 125 }(51, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 111, ·)$
$\chi_{ 125 }(116, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 76, ·)$
$\chi_{ 125 }(56, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 41, ·)$
$\chi_{ 125 }(121, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 96, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 6, ·)$
$\chi_{ 125 }(61, ·)$	$\chi_{ 125 } ( 61, ·)$	$\chi_{ 125 } ( 26, ·)$	$\chi_{ 125 } ( 116, ·)$	$\chi_{ 125 } ( 81, ·)$	$\chi_{ 125 } ( 46, ·)$	$\chi_{ 125 } ( 11, ·)$	$\chi_{ 125 } ( 101, ·)$	$\chi_{ 125 } ( 66, ·)$	$\chi_{ 125 } ( 31, ·)$	$\chi_{ 125 } ( 121, ·)$	$\chi_{ 125 } ( 86, ·)$	$\chi_{ 125 } ( 51, ·)$	$\chi_{ 125 } ( 16, ·)$	$\chi_{ 125 } ( 106, ·)$	$\chi_{ 125 } ( 71, ·)$	$\chi_{ 125 } ( 36, ·)$	$\chi_{ 125 } ( 1, ·)$	$\chi_{ 125 } ( 91, ·)$	$\chi_{ 125 } ( 56, ·)$	$\chi_{ 125 } ( 21, ·)$	$\chi_{ 125 } ( 111, ·)$	$\chi_{ 125 } ( 76, ·)$	$\chi_{ 125 } ( 41, ·)$	$\chi_{ 125 } ( 6, ·)$	$\chi_{ 125 } ( 96, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 61, ·)\)
\(\chi_{ 125 }(1, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 61, ·)\)
\(\chi_{ 125 }(66, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 26, ·)\)
\(\chi_{ 125 }(6, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 116, ·)\)
\(\chi_{ 125 }(71, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 81, ·)\)
\(\chi_{ 125 }(11, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 46, ·)\)
\(\chi_{ 125 }(76, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 11, ·)\)
\(\chi_{ 125 }(16, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 101, ·)\)
\(\chi_{ 125 }(81, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 66, ·)\)
\(\chi_{ 125 }(21, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 31, ·)\)
\(\chi_{ 125 }(86, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 121, ·)\)
\(\chi_{ 125 }(26, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 86, ·)\)
\(\chi_{ 125 }(91, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 51, ·)\)
\(\chi_{ 125 }(31, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 16, ·)\)
\(\chi_{ 125 }(96, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 106, ·)\)
\(\chi_{ 125 }(36, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 71, ·)\)
\(\chi_{ 125 }(101, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 36, ·)\)
\(\chi_{ 125 }(41, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 1, ·)\)
\(\chi_{ 125 }(106, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 91, ·)\)
\(\chi_{ 125 }(46, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 56, ·)\)
\(\chi_{ 125 }(111, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 21, ·)\)
\(\chi_{ 125 }(51, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 111, ·)\)
\(\chi_{ 125 }(116, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 76, ·)\)
\(\chi_{ 125 }(56, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 41, ·)\)
\(\chi_{ 125 }(121, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 96, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 6, ·)\)
\(\chi_{ 125 }(61, ·)\)	\(\chi_{ 125 } ( 61, ·)\)	\(\chi_{ 125 } ( 26, ·)\)	\(\chi_{ 125 } ( 116, ·)\)	\(\chi_{ 125 } ( 81, ·)\)	\(\chi_{ 125 } ( 46, ·)\)	\(\chi_{ 125 } ( 11, ·)\)	\(\chi_{ 125 } ( 101, ·)\)	\(\chi_{ 125 } ( 66, ·)\)	\(\chi_{ 125 } ( 31, ·)\)	\(\chi_{ 125 } ( 121, ·)\)	\(\chi_{ 125 } ( 86, ·)\)	\(\chi_{ 125 } ( 51, ·)\)	\(\chi_{ 125 } ( 16, ·)\)	\(\chi_{ 125 } ( 106, ·)\)	\(\chi_{ 125 } ( 71, ·)\)	\(\chi_{ 125 } ( 36, ·)\)	\(\chi_{ 125 } ( 1, ·)\)	\(\chi_{ 125 } ( 91, ·)\)	\(\chi_{ 125 } ( 56, ·)\)	\(\chi_{ 125 } ( 21, ·)\)	\(\chi_{ 125 } ( 111, ·)\)	\(\chi_{ 125 } ( 76, ·)\)	\(\chi_{ 125 } ( 41, ·)\)	\(\chi_{ 125 } ( 6, ·)\)	\(\chi_{ 125 } ( 96, ·)\)

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.