Group of Dirichlet characters

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

$K$ is the global number field defined by \( x^{16} - 9 x^{14} + 65 x^{12} - 441 x^{10} + 2929 x^{8} - 7056 x^{6} + 16640 x^{4} - 36864 x^{2} + 65536 \)

$\times$	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 307, ·)\)
\(\chi_{ 340 }(1, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 307, ·)\)
\(\chi_{ 340 }(67, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 169, ·)\)
\(\chi_{ 340 }(69, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 103, ·)\)
\(\chi_{ 340 }(137, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 239, ·)\)
\(\chi_{ 340 }(203, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 101, ·)\)
\(\chi_{ 340 }(271, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 237, ·)\)
\(\chi_{ 340 }(273, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 171, ·)\)
\(\chi_{ 340 }(339, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 33, ·)\)
\(\chi_{ 340 }(33, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 271, ·)\)
\(\chi_{ 340 }(101, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 67, ·)\)
\(\chi_{ 340 }(103, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 1, ·)\)
\(\chi_{ 340 }(169, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 203, ·)\)
\(\chi_{ 340 }(171, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 137, ·)\)
\(\chi_{ 340 }(237, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 339, ·)\)
\(\chi_{ 340 }(239, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 69, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 273, ·)\)
\(\chi_{ 340 }(307, ·)\)	\(\chi_{ 340 } ( 307, ·)\)	\(\chi_{ 340 } ( 169, ·)\)	\(\chi_{ 340 } ( 103, ·)\)	\(\chi_{ 340 } ( 239, ·)\)	\(\chi_{ 340 } ( 101, ·)\)	\(\chi_{ 340 } ( 237, ·)\)	\(\chi_{ 340 } ( 171, ·)\)	\(\chi_{ 340 } ( 33, ·)\)	\(\chi_{ 340 } ( 271, ·)\)	\(\chi_{ 340 } ( 67, ·)\)	\(\chi_{ 340 } ( 1, ·)\)	\(\chi_{ 340 } ( 203, ·)\)	\(\chi_{ 340 } ( 137, ·)\)	\(\chi_{ 340 } ( 339, ·)\)	\(\chi_{ 340 } ( 273, ·)\)	\(\chi_{ 340 } ( 69, ·)\)