Group of Dirichlet characters

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

$K$ is the global number field defined by \( x^{16} + 9 x^{14} + 56 x^{12} + 279 x^{10} + 1111 x^{8} + 6975 x^{6} + 35000 x^{4} + 140625 x^{2} + 390625 \)

$\times$	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 191, ·)\)
\(\chi_{ 380 }(1, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 191, ·)\)
\(\chi_{ 380 }(267, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 77, ·)\)
\(\chi_{ 380 }(77, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 267, ·)\)
\(\chi_{ 380 }(341, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 151, ·)\)
\(\chi_{ 380 }(343, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 153, ·)\)
\(\chi_{ 380 }(153, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 343, ·)\)
\(\chi_{ 380 }(37, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 227, ·)\)
\(\chi_{ 380 }(227, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 37, ·)\)
\(\chi_{ 380 }(229, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 39, ·)\)
\(\chi_{ 380 }(39, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 229, ·)\)
\(\chi_{ 380 }(303, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 113, ·)\)
\(\chi_{ 380 }(113, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 303, ·)\)
\(\chi_{ 380 }(379, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 189, ·)\)
\(\chi_{ 380 }(151, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 341, ·)\)
\(\chi_{ 380 }(189, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 1, ·)\)	\(\chi_{ 380 } ( 379, ·)\)
\(\chi_{ 380 }(191, ·)\)	\(\chi_{ 380 } ( 191, ·)\)	\(\chi_{ 380 } ( 77, ·)\)	\(\chi_{ 380 } ( 267, ·)\)	\(\chi_{ 380 } ( 151, ·)\)	\(\chi_{ 380 } ( 153, ·)\)	\(\chi_{ 380 } ( 343, ·)\)	\(\chi_{ 380 } ( 227, ·)\)	\(\chi_{ 380 } ( 37, ·)\)	\(\chi_{ 380 } ( 39, ·)\)	\(\chi_{ 380 } ( 229, ·)\)	\(\chi_{ 380 } ( 113, ·)\)	\(\chi_{ 380 } ( 303, ·)\)	\(\chi_{ 380 } ( 189, ·)\)	\(\chi_{ 380 } ( 341, ·)\)	\(\chi_{ 380 } ( 379, ·)\)	\(\chi_{ 380 } ( 1, ·)\)