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^{20} - x^{19} - 49 x^{18} + 32 x^{17} + 926 x^{16} - 354 x^{15} - 8765 x^{14} + 1660 x^{13} + \cdots + 1033 $ x^20 - x^19 - 49*x^18 + 32*x^17 + 926*x^16 - 354*x^15 - 8765*x^14 + 1660*x^13 + 45828*x^12 - 2629*x^11 - 137522*x^10 - 4409*x^9 + 237299*x^8 + 22455*x^7 - 226443*x^6 - 31515*x^5 + 107725*x^4 + 17397*x^3 - 20309*x^2 - 2449*x + 1033

$\times$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 115, ·)$
$\chi_{ 187 }(1, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 115, ·)$
$\chi_{ 187 }(64, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 67, ·)$
$\chi_{ 187 }(67, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 38, ·)$
$\chi_{ 187 }(4, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 86, ·)$
$\chi_{ 187 }(69, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 81, ·)$
$\chi_{ 187 }(135, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 4, ·)$
$\chi_{ 187 }(137, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 47, ·)$
$\chi_{ 187 }(16, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 157, ·)$
$\chi_{ 187 }(81, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 152, ·)$
$\chi_{ 187 }(86, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 166, ·)$
$\chi_{ 187 }(152, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 89, ·)$
$\chi_{ 187 }(89, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 137, ·)$
$\chi_{ 187 }(157, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 103, ·)$
$\chi_{ 187 }(166, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 16, ·)$
$\chi_{ 187 }(38, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 69, ·)$
$\chi_{ 187 }(103, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 64, ·)$
$\chi_{ 187 }(169, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 174, ·)$
$\chi_{ 187 }(174, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 1, ·)$
$\chi_{ 187 }(47, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 135, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 169, ·)$
$\chi_{ 187 }(115, ·)$	$\chi_{ 187 } ( 115, ·)$	$\chi_{ 187 } ( 67, ·)$	$\chi_{ 187 } ( 38, ·)$	$\chi_{ 187 } ( 86, ·)$	$\chi_{ 187 } ( 81, ·)$	$\chi_{ 187 } ( 4, ·)$	$\chi_{ 187 } ( 47, ·)$	$\chi_{ 187 } ( 157, ·)$	$\chi_{ 187 } ( 152, ·)$	$\chi_{ 187 } ( 166, ·)$	$\chi_{ 187 } ( 89, ·)$	$\chi_{ 187 } ( 137, ·)$	$\chi_{ 187 } ( 103, ·)$	$\chi_{ 187 } ( 16, ·)$	$\chi_{ 187 } ( 69, ·)$	$\chi_{ 187 } ( 64, ·)$	$\chi_{ 187 } ( 174, ·)$	$\chi_{ 187 } ( 1, ·)$	$\chi_{ 187 } ( 169, ·)$	$\chi_{ 187 } ( 135, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 115, ·)\)
\(\chi_{ 187 }(1, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 115, ·)\)
\(\chi_{ 187 }(64, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 67, ·)\)
\(\chi_{ 187 }(67, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 38, ·)\)
\(\chi_{ 187 }(4, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 86, ·)\)
\(\chi_{ 187 }(69, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 81, ·)\)
\(\chi_{ 187 }(135, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 4, ·)\)
\(\chi_{ 187 }(137, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 47, ·)\)
\(\chi_{ 187 }(16, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 157, ·)\)
\(\chi_{ 187 }(81, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 152, ·)\)
\(\chi_{ 187 }(86, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 166, ·)\)
\(\chi_{ 187 }(152, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 89, ·)\)
\(\chi_{ 187 }(89, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 137, ·)\)
\(\chi_{ 187 }(157, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 103, ·)\)
\(\chi_{ 187 }(166, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 16, ·)\)
\(\chi_{ 187 }(38, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 69, ·)\)
\(\chi_{ 187 }(103, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 64, ·)\)
\(\chi_{ 187 }(169, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 174, ·)\)
\(\chi_{ 187 }(174, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 1, ·)\)
\(\chi_{ 187 }(47, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 135, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 169, ·)\)
\(\chi_{ 187 }(115, ·)\)	\(\chi_{ 187 } ( 115, ·)\)	\(\chi_{ 187 } ( 67, ·)\)	\(\chi_{ 187 } ( 38, ·)\)	\(\chi_{ 187 } ( 86, ·)\)	\(\chi_{ 187 } ( 81, ·)\)	\(\chi_{ 187 } ( 4, ·)\)	\(\chi_{ 187 } ( 47, ·)\)	\(\chi_{ 187 } ( 157, ·)\)	\(\chi_{ 187 } ( 152, ·)\)	\(\chi_{ 187 } ( 166, ·)\)	\(\chi_{ 187 } ( 89, ·)\)	\(\chi_{ 187 } ( 137, ·)\)	\(\chi_{ 187 } ( 103, ·)\)	\(\chi_{ 187 } ( 16, ·)\)	\(\chi_{ 187 } ( 69, ·)\)	\(\chi_{ 187 } ( 64, ·)\)	\(\chi_{ 187 } ( 174, ·)\)	\(\chi_{ 187 } ( 1, ·)\)	\(\chi_{ 187 } ( 169, ·)\)	\(\chi_{ 187 } ( 135, ·)\)

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.