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 $x^{38} - x^{37} - 222 x^{36} + 479 x^{35} + 21047 x^{34} - 66053 x^{33} - 1110228 x^{32} + 4495506 x^{31} + 35823405 x^{30} - 180946047 x^{29} - 731415663 x^{28} + 4712734359 x^{27} + 9238434306 x^{26} - 83665939703 x^{25} - 59973164681 x^{24} + 1044644450973 x^{23} - 101098208429 x^{22} - 9336414182461 x^{21} + 6288159462034 x^{20} + 60150648390199 x^{19} - 67252981484387 x^{18} - 278611442416743 x^{17} + 417500804951451 x^{16} + 915079337067075 x^{15} - 1716002791423036 x^{14} - 2065408719688167 x^{13} + 4825202788269126 x^{12} + 2982003177766905 x^{11} - 9269437748788275 x^{10} - 2187058821094830 x^{9} + 11855288436035595 x^{8} - 411608485430453 x^{7} - 9515695267587717 x^{6} + 2357948299236310 x^{5} + 4196479083397002 x^{4} - 1892165812751211 x^{3} - 650631784472963 x^{2} + 526610168112801 x - 83497743723127$

$\times$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 242, ·)$
$\chi_{ 457 }(1, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 242, ·)$
$\chi_{ 457 }(256, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 257, ·)$
$\chi_{ 457 }(4, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 54, ·)$
$\chi_{ 457 }(389, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 453, ·)$
$\chi_{ 457 }(257, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 42, ·)$
$\chi_{ 457 }(393, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 50, ·)$
$\chi_{ 457 }(215, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 389, ·)$
$\chi_{ 457 }(16, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 216, ·)$
$\chi_{ 457 }(17, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 1, ·)$
$\chi_{ 457 }(403, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 185, ·)$
$\chi_{ 457 }(407, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 239, ·)$
$\chi_{ 457 }(283, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 393, ·)$
$\chi_{ 457 }(415, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 347, ·)$
$\chi_{ 457 }(289, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 17, ·)$
$\chi_{ 457 }(168, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 440, ·)$
$\chi_{ 457 }(42, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 110, ·)$
$\chi_{ 457 }(114, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 168, ·)$
$\chi_{ 457 }(174, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 64, ·)$
$\chi_{ 457 }(200, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 415, ·)$
$\chi_{ 457 }(50, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 218, ·)$
$\chi_{ 457 }(54, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 272, ·)$
$\chi_{ 457 }(440, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 456, ·)$
$\chi_{ 457 }(185, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 441, ·)$
$\chi_{ 457 }(64, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 407, ·)$
$\chi_{ 457 }(441, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 241, ·)$
$\chi_{ 457 }(68, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 4, ·)$
$\chi_{ 457 }(453, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 403, ·)$
$\chi_{ 457 }(456, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 215, ·)$
$\chi_{ 457 }(201, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 200, ·)$
$\chi_{ 457 }(343, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 289, ·)$
$\chi_{ 457 }(216, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 174, ·)$
$\chi_{ 457 }(218, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 201, ·)$
$\chi_{ 457 }(347, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 343, ·)$
$\chi_{ 457 }(272, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 16, ·)$
$\chi_{ 457 }(110, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 114, ·)$
$\chi_{ 457 }(239, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 256, ·)$
$\chi_{ 457 }(241, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 68, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 283, ·)$
$\chi_{ 457 }(242, ·)$	$\chi_{ 457 } ( 242, ·)$	$\chi_{ 457 } ( 257, ·)$	$\chi_{ 457 } ( 54, ·)$	$\chi_{ 457 } ( 453, ·)$	$\chi_{ 457 } ( 42, ·)$	$\chi_{ 457 } ( 50, ·)$	$\chi_{ 457 } ( 389, ·)$	$\chi_{ 457 } ( 216, ·)$	$\chi_{ 457 } ( 1, ·)$	$\chi_{ 457 } ( 185, ·)$	$\chi_{ 457 } ( 239, ·)$	$\chi_{ 457 } ( 393, ·)$	$\chi_{ 457 } ( 347, ·)$	$\chi_{ 457 } ( 17, ·)$	$\chi_{ 457 } ( 440, ·)$	$\chi_{ 457 } ( 110, ·)$	$\chi_{ 457 } ( 168, ·)$	$\chi_{ 457 } ( 64, ·)$	$\chi_{ 457 } ( 415, ·)$	$\chi_{ 457 } ( 218, ·)$	$\chi_{ 457 } ( 272, ·)$	$\chi_{ 457 } ( 456, ·)$	$\chi_{ 457 } ( 441, ·)$	$\chi_{ 457 } ( 407, ·)$	$\chi_{ 457 } ( 241, ·)$	$\chi_{ 457 } ( 4, ·)$	$\chi_{ 457 } ( 403, ·)$	$\chi_{ 457 } ( 215, ·)$	$\chi_{ 457 } ( 200, ·)$	$\chi_{ 457 } ( 289, ·)$	$\chi_{ 457 } ( 174, ·)$	$\chi_{ 457 } ( 201, ·)$	$\chi_{ 457 } ( 343, ·)$	$\chi_{ 457 } ( 16, ·)$	$\chi_{ 457 } ( 114, ·)$	$\chi_{ 457 } ( 256, ·)$	$\chi_{ 457 } ( 283, ·)$	$\chi_{ 457 } ( 68, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 242, ·)\)
\(\chi_{ 457 }(1, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 242, ·)\)
\(\chi_{ 457 }(256, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 257, ·)\)
\(\chi_{ 457 }(4, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 54, ·)\)
\(\chi_{ 457 }(389, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 453, ·)\)
\(\chi_{ 457 }(257, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 42, ·)\)
\(\chi_{ 457 }(393, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 50, ·)\)
\(\chi_{ 457 }(215, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 389, ·)\)
\(\chi_{ 457 }(16, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 216, ·)\)
\(\chi_{ 457 }(17, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 1, ·)\)
\(\chi_{ 457 }(403, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 185, ·)\)
\(\chi_{ 457 }(407, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 239, ·)\)
\(\chi_{ 457 }(283, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 393, ·)\)
\(\chi_{ 457 }(415, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 347, ·)\)
\(\chi_{ 457 }(289, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 17, ·)\)
\(\chi_{ 457 }(168, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 440, ·)\)
\(\chi_{ 457 }(42, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 110, ·)\)
\(\chi_{ 457 }(114, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 168, ·)\)
\(\chi_{ 457 }(174, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 64, ·)\)
\(\chi_{ 457 }(200, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 415, ·)\)
\(\chi_{ 457 }(50, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 218, ·)\)
\(\chi_{ 457 }(54, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 272, ·)\)
\(\chi_{ 457 }(440, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 456, ·)\)
\(\chi_{ 457 }(185, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 441, ·)\)
\(\chi_{ 457 }(64, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 407, ·)\)
\(\chi_{ 457 }(441, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 241, ·)\)
\(\chi_{ 457 }(68, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 4, ·)\)
\(\chi_{ 457 }(453, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 403, ·)\)
\(\chi_{ 457 }(456, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 215, ·)\)
\(\chi_{ 457 }(201, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 200, ·)\)
\(\chi_{ 457 }(343, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 289, ·)\)
\(\chi_{ 457 }(216, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 174, ·)\)
\(\chi_{ 457 }(218, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 201, ·)\)
\(\chi_{ 457 }(347, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 343, ·)\)
\(\chi_{ 457 }(272, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 16, ·)\)
\(\chi_{ 457 }(110, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 114, ·)\)
\(\chi_{ 457 }(239, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 256, ·)\)
\(\chi_{ 457 }(241, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 68, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 283, ·)\)
\(\chi_{ 457 }(242, ·)\)	\(\chi_{ 457 } ( 242, ·)\)	\(\chi_{ 457 } ( 257, ·)\)	\(\chi_{ 457 } ( 54, ·)\)	\(\chi_{ 457 } ( 453, ·)\)	\(\chi_{ 457 } ( 42, ·)\)	\(\chi_{ 457 } ( 50, ·)\)	\(\chi_{ 457 } ( 389, ·)\)	\(\chi_{ 457 } ( 216, ·)\)	\(\chi_{ 457 } ( 1, ·)\)	\(\chi_{ 457 } ( 185, ·)\)	\(\chi_{ 457 } ( 239, ·)\)	\(\chi_{ 457 } ( 393, ·)\)	\(\chi_{ 457 } ( 347, ·)\)	\(\chi_{ 457 } ( 17, ·)\)	\(\chi_{ 457 } ( 440, ·)\)	\(\chi_{ 457 } ( 110, ·)\)	\(\chi_{ 457 } ( 168, ·)\)	\(\chi_{ 457 } ( 64, ·)\)	\(\chi_{ 457 } ( 415, ·)\)	\(\chi_{ 457 } ( 218, ·)\)	\(\chi_{ 457 } ( 272, ·)\)	\(\chi_{ 457 } ( 456, ·)\)	\(\chi_{ 457 } ( 441, ·)\)	\(\chi_{ 457 } ( 407, ·)\)	\(\chi_{ 457 } ( 241, ·)\)	\(\chi_{ 457 } ( 4, ·)\)	\(\chi_{ 457 } ( 403, ·)\)	\(\chi_{ 457 } ( 215, ·)\)	\(\chi_{ 457 } ( 200, ·)\)	\(\chi_{ 457 } ( 289, ·)\)	\(\chi_{ 457 } ( 174, ·)\)	\(\chi_{ 457 } ( 201, ·)\)	\(\chi_{ 457 } ( 343, ·)\)	\(\chi_{ 457 } ( 16, ·)\)	\(\chi_{ 457 } ( 114, ·)\)	\(\chi_{ 457 } ( 256, ·)\)	\(\chi_{ 457 } ( 283, ·)\)	\(\chi_{ 457 } ( 68, ·)\)

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.