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^{29} - x^{28} - 168 x^{27} + 353 x^{26} + 11480 x^{25} - 34328 x^{24} - 410190 x^{23} + 1556443 x^{22} + 8267052 x^{21} - 38827232 x^{20} - 94788585 x^{19} + 575669857 x^{18} + 574148959 x^{17} - 5286405734 x^{16} - 1118675686 x^{15} + 30698615326 x^{14} - 6935797323 x^{13} - 112817035992 x^{12} + 51055206761 x^{11} + 256367413593 x^{10} - 136472035194 x^{9} - 340428884896 x^{8} + 170672875682 x^{7} + 236550118296 x^{6} - 94550319984 x^{5} - 69592403677 x^{4} + 18732474566 x^{3} + 3480965541 x^{2} - 875365500 x + 10242329 $

$\times$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 126, ·)$
$\chi_{ 349 }(1, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 126, ·)$
$\chi_{ 349 }(66, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 289, ·)$
$\chi_{ 349 }(67, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 66, ·)$
$\chi_{ 349 }(263, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 332, ·)$
$\chi_{ 349 }(210, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 285, ·)$
$\chi_{ 349 }(332, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 301, ·)$
$\chi_{ 349 }(269, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 41, ·)$
$\chi_{ 349 }(88, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 269, ·)$
$\chi_{ 349 }(274, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 322, ·)$
$\chi_{ 349 }(249, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 313, ·)$
$\chi_{ 349 }(280, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 31, ·)$
$\chi_{ 349 }(285, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 312, ·)$
$\chi_{ 349 }(31, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 67, ·)$
$\chi_{ 349 }(224, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 304, ·)$
$\chi_{ 349 }(289, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 118, ·)$
$\chi_{ 349 }(228, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 110, ·)$
$\chi_{ 349 }(168, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 228, ·)$
$\chi_{ 349 }(41, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 280, ·)$
$\chi_{ 349 }(234, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 168, ·)$
$\chi_{ 349 }(171, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 257, ·)$
$\chi_{ 349 }(257, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 274, ·)$
$\chi_{ 349 }(301, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 234, ·)$
$\chi_{ 349 }(110, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 249, ·)$
$\chi_{ 349 }(304, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 263, ·)$
$\chi_{ 349 }(118, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 210, ·)$
$\chi_{ 349 }(312, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 224, ·)$
$\chi_{ 349 }(313, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 1, ·)$
$\chi_{ 349 }(322, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 171, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 88, ·)$
$\chi_{ 349 }(126, ·)$	$\chi_{ 349 } ( 126, ·)$	$\chi_{ 349 } ( 289, ·)$	$\chi_{ 349 } ( 66, ·)$	$\chi_{ 349 } ( 332, ·)$	$\chi_{ 349 } ( 285, ·)$	$\chi_{ 349 } ( 301, ·)$	$\chi_{ 349 } ( 41, ·)$	$\chi_{ 349 } ( 269, ·)$	$\chi_{ 349 } ( 322, ·)$	$\chi_{ 349 } ( 313, ·)$	$\chi_{ 349 } ( 31, ·)$	$\chi_{ 349 } ( 312, ·)$	$\chi_{ 349 } ( 67, ·)$	$\chi_{ 349 } ( 304, ·)$	$\chi_{ 349 } ( 118, ·)$	$\chi_{ 349 } ( 110, ·)$	$\chi_{ 349 } ( 228, ·)$	$\chi_{ 349 } ( 280, ·)$	$\chi_{ 349 } ( 168, ·)$	$\chi_{ 349 } ( 257, ·)$	$\chi_{ 349 } ( 274, ·)$	$\chi_{ 349 } ( 234, ·)$	$\chi_{ 349 } ( 249, ·)$	$\chi_{ 349 } ( 263, ·)$	$\chi_{ 349 } ( 210, ·)$	$\chi_{ 349 } ( 224, ·)$	$\chi_{ 349 } ( 1, ·)$	$\chi_{ 349 } ( 88, ·)$	$\chi_{ 349 } ( 171, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 126, ·)\)
\(\chi_{ 349 }(1, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 126, ·)\)
\(\chi_{ 349 }(66, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 289, ·)\)
\(\chi_{ 349 }(67, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 66, ·)\)
\(\chi_{ 349 }(263, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 332, ·)\)
\(\chi_{ 349 }(210, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 285, ·)\)
\(\chi_{ 349 }(332, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 301, ·)\)
\(\chi_{ 349 }(269, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 41, ·)\)
\(\chi_{ 349 }(88, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 269, ·)\)
\(\chi_{ 349 }(274, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 322, ·)\)
\(\chi_{ 349 }(249, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 313, ·)\)
\(\chi_{ 349 }(280, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 31, ·)\)
\(\chi_{ 349 }(285, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 312, ·)\)
\(\chi_{ 349 }(31, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 67, ·)\)
\(\chi_{ 349 }(224, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 304, ·)\)
\(\chi_{ 349 }(289, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 118, ·)\)
\(\chi_{ 349 }(228, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 110, ·)\)
\(\chi_{ 349 }(168, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 228, ·)\)
\(\chi_{ 349 }(41, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 280, ·)\)
\(\chi_{ 349 }(234, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 168, ·)\)
\(\chi_{ 349 }(171, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 257, ·)\)
\(\chi_{ 349 }(257, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 274, ·)\)
\(\chi_{ 349 }(301, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 234, ·)\)
\(\chi_{ 349 }(110, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 249, ·)\)
\(\chi_{ 349 }(304, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 263, ·)\)
\(\chi_{ 349 }(118, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 210, ·)\)
\(\chi_{ 349 }(312, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 224, ·)\)
\(\chi_{ 349 }(313, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 1, ·)\)
\(\chi_{ 349 }(322, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 171, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 88, ·)\)
\(\chi_{ 349 }(126, ·)\)	\(\chi_{ 349 } ( 126, ·)\)	\(\chi_{ 349 } ( 289, ·)\)	\(\chi_{ 349 } ( 66, ·)\)	\(\chi_{ 349 } ( 332, ·)\)	\(\chi_{ 349 } ( 285, ·)\)	\(\chi_{ 349 } ( 301, ·)\)	\(\chi_{ 349 } ( 41, ·)\)	\(\chi_{ 349 } ( 269, ·)\)	\(\chi_{ 349 } ( 322, ·)\)	\(\chi_{ 349 } ( 313, ·)\)	\(\chi_{ 349 } ( 31, ·)\)	\(\chi_{ 349 } ( 312, ·)\)	\(\chi_{ 349 } ( 67, ·)\)	\(\chi_{ 349 } ( 304, ·)\)	\(\chi_{ 349 } ( 118, ·)\)	\(\chi_{ 349 } ( 110, ·)\)	\(\chi_{ 349 } ( 228, ·)\)	\(\chi_{ 349 } ( 280, ·)\)	\(\chi_{ 349 } ( 168, ·)\)	\(\chi_{ 349 } ( 257, ·)\)	\(\chi_{ 349 } ( 274, ·)\)	\(\chi_{ 349 } ( 234, ·)\)	\(\chi_{ 349 } ( 249, ·)\)	\(\chi_{ 349 } ( 263, ·)\)	\(\chi_{ 349 } ( 210, ·)\)	\(\chi_{ 349 } ( 224, ·)\)	\(\chi_{ 349 } ( 1, ·)\)	\(\chi_{ 349 } ( 88, ·)\)	\(\chi_{ 349 } ( 171, ·)\)

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.