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^{32} - 3 x^{30} + 4 x^{28} - 9 x^{26} + 27 x^{24} - 93 x^{22} + 188 x^{20} - 279 x^{18} + 581 x^{16} + \cdots + 65536 $ x^32 - 3*x^30 + 4*x^28 - 9*x^26 + 27*x^24 - 93*x^22 + 188*x^20 - 279*x^18 + 581*x^16 - 1116*x^14 + 3008*x^12 - 5952*x^10 + 6912*x^8 - 9216*x^6 + 16384*x^4 - 49152*x^2 + 65536

$\times$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 127, ·)$
$\chi_{ 420 }(1, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 127, ·)$
$\chi_{ 420 }(391, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 97, ·)$
$\chi_{ 420 }(139, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 13, ·)$
$\chi_{ 420 }(13, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 391, ·)$
$\chi_{ 420 }(407, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 29, ·)$
$\chi_{ 420 }(281, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 407, ·)$
$\chi_{ 420 }(29, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 323, ·)$
$\chi_{ 420 }(419, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 293, ·)$
$\chi_{ 420 }(293, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 251, ·)$
$\chi_{ 420 }(167, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 209, ·)$
$\chi_{ 420 }(41, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 167, ·)$
$\chi_{ 420 }(43, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 1, ·)$
$\chi_{ 420 }(307, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 349, ·)$
$\chi_{ 420 }(181, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 307, ·)$
$\chi_{ 420 }(323, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 281, ·)$
$\chi_{ 420 }(197, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 239, ·)$
$\chi_{ 420 }(71, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 197, ·)$
$\chi_{ 420 }(209, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 83, ·)$
$\chi_{ 420 }(211, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 337, ·)$
$\chi_{ 420 }(349, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 223, ·)$
$\chi_{ 420 }(223, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 181, ·)$
$\chi_{ 420 }(97, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 139, ·)$
$\chi_{ 420 }(251, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 377, ·)$
$\chi_{ 420 }(337, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 379, ·)$
$\chi_{ 420 }(239, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 113, ·)$
$\chi_{ 420 }(113, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 71, ·)$
$\chi_{ 420 }(83, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 41, ·)$
$\chi_{ 420 }(169, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 43, ·)$
$\chi_{ 420 }(377, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 419, ·)$
$\chi_{ 420 }(379, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 253, ·)$
$\chi_{ 420 }(253, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 169, ·)$	$\chi_{ 420 } ( 211, ·)$
$\chi_{ 420 }(127, ·)$	$\chi_{ 420 } ( 127, ·)$	$\chi_{ 420 } ( 97, ·)$	$\chi_{ 420 } ( 13, ·)$	$\chi_{ 420 } ( 391, ·)$	$\chi_{ 420 } ( 29, ·)$	$\chi_{ 420 } ( 407, ·)$	$\chi_{ 420 } ( 323, ·)$	$\chi_{ 420 } ( 293, ·)$	$\chi_{ 420 } ( 251, ·)$	$\chi_{ 420 } ( 209, ·)$	$\chi_{ 420 } ( 167, ·)$	$\chi_{ 420 } ( 1, ·)$	$\chi_{ 420 } ( 349, ·)$	$\chi_{ 420 } ( 307, ·)$	$\chi_{ 420 } ( 281, ·)$	$\chi_{ 420 } ( 239, ·)$	$\chi_{ 420 } ( 197, ·)$	$\chi_{ 420 } ( 83, ·)$	$\chi_{ 420 } ( 337, ·)$	$\chi_{ 420 } ( 223, ·)$	$\chi_{ 420 } ( 181, ·)$	$\chi_{ 420 } ( 139, ·)$	$\chi_{ 420 } ( 377, ·)$	$\chi_{ 420 } ( 379, ·)$	$\chi_{ 420 } ( 113, ·)$	$\chi_{ 420 } ( 71, ·)$	$\chi_{ 420 } ( 41, ·)$	$\chi_{ 420 } ( 43, ·)$	$\chi_{ 420 } ( 419, ·)$	$\chi_{ 420 } ( 253, ·)$	$\chi_{ 420 } ( 211, ·)$	$\chi_{ 420 } ( 169, ·)$

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 $\F_{q}$

$\times$	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 127, ·)\)
\(\chi_{ 420 }(1, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 127, ·)\)
\(\chi_{ 420 }(391, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 97, ·)\)
\(\chi_{ 420 }(139, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 13, ·)\)
\(\chi_{ 420 }(13, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 391, ·)\)
\(\chi_{ 420 }(407, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 29, ·)\)
\(\chi_{ 420 }(281, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 407, ·)\)
\(\chi_{ 420 }(29, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 323, ·)\)
\(\chi_{ 420 }(419, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 293, ·)\)
\(\chi_{ 420 }(293, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 251, ·)\)
\(\chi_{ 420 }(167, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 209, ·)\)
\(\chi_{ 420 }(41, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)
\(\chi_{ 420 }(43, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 1, ·)\)
\(\chi_{ 420 }(307, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 349, ·)\)
\(\chi_{ 420 }(181, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 307, ·)\)
\(\chi_{ 420 }(323, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 281, ·)\)
\(\chi_{ 420 }(197, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 239, ·)\)
\(\chi_{ 420 }(71, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 197, ·)\)
\(\chi_{ 420 }(209, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 83, ·)\)
\(\chi_{ 420 }(211, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 337, ·)\)
\(\chi_{ 420 }(349, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 223, ·)\)
\(\chi_{ 420 }(223, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 181, ·)\)
\(\chi_{ 420 }(97, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 139, ·)\)
\(\chi_{ 420 }(251, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 377, ·)\)
\(\chi_{ 420 }(337, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 379, ·)\)
\(\chi_{ 420 }(239, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 113, ·)\)
\(\chi_{ 420 }(113, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 71, ·)\)
\(\chi_{ 420 }(83, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 41, ·)\)
\(\chi_{ 420 }(169, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 43, ·)\)
\(\chi_{ 420 }(377, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 419, ·)\)
\(\chi_{ 420 }(379, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 253, ·)\)
\(\chi_{ 420 }(253, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 211, ·)\)
\(\chi_{ 420 }(127, ·)\)	\(\chi_{ 420 } ( 127, ·)\)	\(\chi_{ 420 } ( 97, ·)\)	\(\chi_{ 420 } ( 13, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 29, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 251, ·)\)	\(\chi_{ 420 } ( 209, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 307, ·)\)	\(\chi_{ 420 } ( 281, ·)\)	\(\chi_{ 420 } ( 239, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 337, ·)\)	\(\chi_{ 420 } ( 223, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 71, ·)\)	\(\chi_{ 420 } ( 41, ·)\)	\(\chi_{ 420 } ( 43, ·)\)	\(\chi_{ 420 } ( 419, ·)\)	\(\chi_{ 420 } ( 253, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)

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.