Group of Dirichlet characters

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

$K$ is the global number field defined by \( x^{16} + x^{14} - x^{10} - x^{8} - x^{6} + x^{2} + 1 \)

$\times$	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 59, ·)\)
\(\chi_{ 60 }(1, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 59, ·)\)
\(\chi_{ 60 }(7, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 53, ·)\)
\(\chi_{ 60 }(11, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 49, ·)\)
\(\chi_{ 60 }(13, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 47, ·)\)
\(\chi_{ 60 }(17, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 43, ·)\)
\(\chi_{ 60 }(19, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 41, ·)\)
\(\chi_{ 60 }(23, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 37, ·)\)
\(\chi_{ 60 }(29, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 31, ·)\)
\(\chi_{ 60 }(31, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 29, ·)\)
\(\chi_{ 60 }(37, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 23, ·)\)
\(\chi_{ 60 }(41, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 19, ·)\)
\(\chi_{ 60 }(43, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 17, ·)\)
\(\chi_{ 60 }(47, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 13, ·)\)
\(\chi_{ 60 }(49, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 11, ·)\)
\(\chi_{ 60 }(53, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 1, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 7, ·)\)
\(\chi_{ 60 }(59, ·)\)	\(\chi_{ 60 } ( 59, ·)\)	\(\chi_{ 60 } ( 53, ·)\)	\(\chi_{ 60 } ( 49, ·)\)	\(\chi_{ 60 } ( 47, ·)\)	\(\chi_{ 60 } ( 43, ·)\)	\(\chi_{ 60 } ( 41, ·)\)	\(\chi_{ 60 } ( 37, ·)\)	\(\chi_{ 60 } ( 31, ·)\)	\(\chi_{ 60 } ( 29, ·)\)	\(\chi_{ 60 } ( 23, ·)\)	\(\chi_{ 60 } ( 19, ·)\)	\(\chi_{ 60 } ( 17, ·)\)	\(\chi_{ 60 } ( 13, ·)\)	\(\chi_{ 60 } ( 11, ·)\)	\(\chi_{ 60 } ( 7, ·)\)	\(\chi_{ 60 } ( 1, ·)\)