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^{31} - x^{30} - 150 x^{29} + 117 x^{28} + 9434 x^{27} - 4958 x^{26} - 328880 x^{25} + 78328 x^{24} + 7098810 x^{23} + 507925 x^{22} - 100297691 x^{21} - 39217806 x^{20} + 950942678 x^{19} + 677567200 x^{18} - 6056859921 x^{17} - 6293114670 x^{16} + 25303767350 x^{15} + 35315191500 x^{14} - 65145555320 x^{13} - 122001770825 x^{12} + 87706314807 x^{11} + 253609179978 x^{10} - 19776440614 x^{9} - 299693882286 x^{8} - 98200795275 x^{7} + 175359843704 x^{6} + 113820457794 x^{5} - 30260338943 x^{4} - 38729335872 x^{3} - 5811762482 x^{2} + 1056847214 x - 26458109 $

$\times$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 126, ·)$
$\chi_{ 311 }(1, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 126, ·)$
$\chi_{ 311 }(224, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 234, ·)$
$\chi_{ 311 }(195, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 1, ·)$
$\chi_{ 311 }(260, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 105, ·)$
$\chi_{ 311 }(7, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 260, ·)$
$\chi_{ 311 }(265, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 113, ·)$
$\chi_{ 311 }(140, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 224, ·)$
$\chi_{ 311 }(13, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 83, ·)$
$\chi_{ 311 }(270, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 121, ·)$
$\chi_{ 311 }(15, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 24, ·)$
$\chi_{ 311 }(18, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 91, ·)$
$\chi_{ 311 }(83, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 195, ·)$
$\chi_{ 311 }(20, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 32, ·)$
$\chi_{ 311 }(24, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 225, ·)$
$\chi_{ 311 }(89, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 18, ·)$
$\chi_{ 311 }(91, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 270, ·)$
$\chi_{ 311 }(32, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 300, ·)$
$\chi_{ 311 }(225, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 49, ·)$
$\chi_{ 311 }(113, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 243, ·)$
$\chi_{ 311 }(168, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 20, ·)$
$\chi_{ 311 }(169, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 146, ·)$
$\chi_{ 311 }(234, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 250, ·)$
$\chi_{ 311 }(300, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 169, ·)$
$\chi_{ 311 }(146, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 47, ·)$
$\chi_{ 311 }(47, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 13, ·)$
$\chi_{ 311 }(49, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 265, ·)$
$\chi_{ 311 }(243, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 140, ·)$
$\chi_{ 311 }(105, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 168, ·)$
$\chi_{ 311 }(121, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 7, ·)$
$\chi_{ 311 }(250, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 15, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 89, ·)$
$\chi_{ 311 }(126, ·)$	$\chi_{ 311 } ( 126, ·)$	$\chi_{ 311 } ( 234, ·)$	$\chi_{ 311 } ( 1, ·)$	$\chi_{ 311 } ( 105, ·)$	$\chi_{ 311 } ( 260, ·)$	$\chi_{ 311 } ( 113, ·)$	$\chi_{ 311 } ( 224, ·)$	$\chi_{ 311 } ( 83, ·)$	$\chi_{ 311 } ( 121, ·)$	$\chi_{ 311 } ( 24, ·)$	$\chi_{ 311 } ( 91, ·)$	$\chi_{ 311 } ( 195, ·)$	$\chi_{ 311 } ( 32, ·)$	$\chi_{ 311 } ( 225, ·)$	$\chi_{ 311 } ( 18, ·)$	$\chi_{ 311 } ( 270, ·)$	$\chi_{ 311 } ( 300, ·)$	$\chi_{ 311 } ( 49, ·)$	$\chi_{ 311 } ( 243, ·)$	$\chi_{ 311 } ( 20, ·)$	$\chi_{ 311 } ( 146, ·)$	$\chi_{ 311 } ( 250, ·)$	$\chi_{ 311 } ( 169, ·)$	$\chi_{ 311 } ( 47, ·)$	$\chi_{ 311 } ( 13, ·)$	$\chi_{ 311 } ( 265, ·)$	$\chi_{ 311 } ( 140, ·)$	$\chi_{ 311 } ( 168, ·)$	$\chi_{ 311 } ( 7, ·)$	$\chi_{ 311 } ( 89, ·)$	$\chi_{ 311 } ( 15, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 126, ·)\)
\(\chi_{ 311 }(1, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 126, ·)\)
\(\chi_{ 311 }(224, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 234, ·)\)
\(\chi_{ 311 }(195, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 1, ·)\)
\(\chi_{ 311 }(260, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 105, ·)\)
\(\chi_{ 311 }(7, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 260, ·)\)
\(\chi_{ 311 }(265, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 113, ·)\)
\(\chi_{ 311 }(140, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 224, ·)\)
\(\chi_{ 311 }(13, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 83, ·)\)
\(\chi_{ 311 }(270, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 121, ·)\)
\(\chi_{ 311 }(15, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 24, ·)\)
\(\chi_{ 311 }(18, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 91, ·)\)
\(\chi_{ 311 }(83, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 195, ·)\)
\(\chi_{ 311 }(20, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 32, ·)\)
\(\chi_{ 311 }(24, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 225, ·)\)
\(\chi_{ 311 }(89, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 18, ·)\)
\(\chi_{ 311 }(91, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 270, ·)\)
\(\chi_{ 311 }(32, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 300, ·)\)
\(\chi_{ 311 }(225, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 49, ·)\)
\(\chi_{ 311 }(113, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 243, ·)\)
\(\chi_{ 311 }(168, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 20, ·)\)
\(\chi_{ 311 }(169, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 146, ·)\)
\(\chi_{ 311 }(234, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 250, ·)\)
\(\chi_{ 311 }(300, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 169, ·)\)
\(\chi_{ 311 }(146, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 47, ·)\)
\(\chi_{ 311 }(47, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 13, ·)\)
\(\chi_{ 311 }(49, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 265, ·)\)
\(\chi_{ 311 }(243, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 140, ·)\)
\(\chi_{ 311 }(105, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 168, ·)\)
\(\chi_{ 311 }(121, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 7, ·)\)
\(\chi_{ 311 }(250, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 15, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 89, ·)\)
\(\chi_{ 311 }(126, ·)\)	\(\chi_{ 311 } ( 126, ·)\)	\(\chi_{ 311 } ( 234, ·)\)	\(\chi_{ 311 } ( 1, ·)\)	\(\chi_{ 311 } ( 105, ·)\)	\(\chi_{ 311 } ( 260, ·)\)	\(\chi_{ 311 } ( 113, ·)\)	\(\chi_{ 311 } ( 224, ·)\)	\(\chi_{ 311 } ( 83, ·)\)	\(\chi_{ 311 } ( 121, ·)\)	\(\chi_{ 311 } ( 24, ·)\)	\(\chi_{ 311 } ( 91, ·)\)	\(\chi_{ 311 } ( 195, ·)\)	\(\chi_{ 311 } ( 32, ·)\)	\(\chi_{ 311 } ( 225, ·)\)	\(\chi_{ 311 } ( 18, ·)\)	\(\chi_{ 311 } ( 270, ·)\)	\(\chi_{ 311 } ( 300, ·)\)	\(\chi_{ 311 } ( 49, ·)\)	\(\chi_{ 311 } ( 243, ·)\)	\(\chi_{ 311 } ( 20, ·)\)	\(\chi_{ 311 } ( 146, ·)\)	\(\chi_{ 311 } ( 250, ·)\)	\(\chi_{ 311 } ( 169, ·)\)	\(\chi_{ 311 } ( 47, ·)\)	\(\chi_{ 311 } ( 13, ·)\)	\(\chi_{ 311 } ( 265, ·)\)	\(\chi_{ 311 } ( 140, ·)\)	\(\chi_{ 311 } ( 168, ·)\)	\(\chi_{ 311 } ( 7, ·)\)	\(\chi_{ 311 } ( 89, ·)\)	\(\chi_{ 311 } ( 15, ·)\)

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.