Group of Dirichlet characters

Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by \( x^{16} + 4 x^{14} + 50 x^{12} - 114 x^{10} + 1259 x^{8} - 3294 x^{6} + 11675 x^{4} - 15881 x^{2} + 22801 \)

$\times$	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 379, ·)\)
\(\chi_{ 420 }(1, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 379, ·)\)
\(\chi_{ 420 }(323, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 197, ·)\)
\(\chi_{ 420 }(197, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 323, ·)\)
\(\chi_{ 420 }(391, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 349, ·)\)
\(\chi_{ 420 }(139, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 181, ·)\)
\(\chi_{ 420 }(83, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 377, ·)\)
\(\chi_{ 420 }(407, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 113, ·)\)
\(\chi_{ 420 }(349, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 391, ·)\)
\(\chi_{ 420 }(293, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 167, ·)\)
\(\chi_{ 420 }(167, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 293, ·)\)
\(\chi_{ 420 }(169, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 211, ·)\)
\(\chi_{ 420 }(113, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 407, ·)\)
\(\chi_{ 420 }(211, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 169, ·)\)
\(\chi_{ 420 }(181, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 139, ·)\)
\(\chi_{ 420 }(377, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 1, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 83, ·)\)
\(\chi_{ 420 }(379, ·)\)	\(\chi_{ 420 } ( 379, ·)\)	\(\chi_{ 420 } ( 197, ·)\)	\(\chi_{ 420 } ( 323, ·)\)	\(\chi_{ 420 } ( 349, ·)\)	\(\chi_{ 420 } ( 181, ·)\)	\(\chi_{ 420 } ( 377, ·)\)	\(\chi_{ 420 } ( 113, ·)\)	\(\chi_{ 420 } ( 391, ·)\)	\(\chi_{ 420 } ( 167, ·)\)	\(\chi_{ 420 } ( 293, ·)\)	\(\chi_{ 420 } ( 211, ·)\)	\(\chi_{ 420 } ( 407, ·)\)	\(\chi_{ 420 } ( 169, ·)\)	\(\chi_{ 420 } ( 139, ·)\)	\(\chi_{ 420 } ( 83, ·)\)	\(\chi_{ 420 } ( 1, ·)\)