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

$K$ is the global number field defined by \( x^{16} - 9 x^{14} + 135 x^{12} - 90 x^{10} + 663 x^{8} - 270 x^{6} + 1150 x^{4} + 108 x^{2} + 81 \)

$\times$ \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 181, ·)\)
\(\chi_{ 260 }(1, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 181, ·)\)
\(\chi_{ 260 }(131, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 51, ·)\)
\(\chi_{ 260 }(129, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 209, ·)\)
\(\chi_{ 260 }(79, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 259, ·)\)
\(\chi_{ 260 }(209, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 129, ·)\)
\(\chi_{ 260 }(259, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 79, ·)\)
\(\chi_{ 260 }(21, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 161, ·)\)
\(\chi_{ 260 }(151, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 31, ·)\)
\(\chi_{ 260 }(31, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 151, ·)\)
\(\chi_{ 260 }(161, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 21, ·)\)
\(\chi_{ 260 }(99, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 239, ·)\)
\(\chi_{ 260 }(229, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 109, ·)\)
\(\chi_{ 260 }(109, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 229, ·)\)
\(\chi_{ 260 }(239, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 99, ·)\)
\(\chi_{ 260 }(51, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 1, ·)\) \(\chi_{ 260 } ( 131, ·)\)
\(\chi_{ 260 }(181, ·)\) \(\chi_{ 260 } ( 181, ·)\) \(\chi_{ 260 } ( 51, ·)\) \(\chi_{ 260 } ( 209, ·)\) \(\chi_{ 260 } ( 259, ·)\) \(\chi_{ 260 } ( 129, ·)\) \(\chi_{ 260 } ( 79, ·)\) \(\chi_{ 260 } ( 161, ·)\) \(\chi_{ 260 } ( 31, ·)\) \(\chi_{ 260 } ( 151, ·)\) \(\chi_{ 260 } ( 21, ·)\) \(\chi_{ 260 } ( 239, ·)\) \(\chi_{ 260 } ( 109, ·)\) \(\chi_{ 260 } ( 229, ·)\) \(\chi_{ 260 } ( 99, ·)\) \(\chi_{ 260 } ( 131, ·)\) \(\chi_{ 260 } ( 1, ·)\)