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

$K$ is the global number field defined by \( x^{16} - 4 x^{14} + 15 x^{12} - 56 x^{10} + 209 x^{8} - 56 x^{6} + 15 x^{4} - 4 x^{2} + 1 \)

$\times$ \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 119, ·)\)
\(\chi_{ 120 }(1, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 119, ·)\)
\(\chi_{ 120 }(67, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 53, ·)\)
\(\chi_{ 120 }(71, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 49, ·)\)
\(\chi_{ 120 }(73, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 47, ·)\)
\(\chi_{ 120 }(77, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 43, ·)\)
\(\chi_{ 120 }(19, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 101, ·)\)
\(\chi_{ 120 }(23, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 97, ·)\)
\(\chi_{ 120 }(91, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 29, ·)\)
\(\chi_{ 120 }(29, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 91, ·)\)
\(\chi_{ 120 }(97, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 23, ·)\)
\(\chi_{ 120 }(101, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 19, ·)\)
\(\chi_{ 120 }(43, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 77, ·)\)
\(\chi_{ 120 }(47, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 73, ·)\)
\(\chi_{ 120 }(49, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 71, ·)\)
\(\chi_{ 120 }(53, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 1, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 67, ·)\)
\(\chi_{ 120 }(119, ·)\) \(\chi_{ 120 } ( 119, ·)\) \(\chi_{ 120 } ( 53, ·)\) \(\chi_{ 120 } ( 49, ·)\) \(\chi_{ 120 } ( 47, ·)\) \(\chi_{ 120 } ( 43, ·)\) \(\chi_{ 120 } ( 101, ·)\) \(\chi_{ 120 } ( 97, ·)\) \(\chi_{ 120 } ( 29, ·)\) \(\chi_{ 120 } ( 91, ·)\) \(\chi_{ 120 } ( 23, ·)\) \(\chi_{ 120 } ( 19, ·)\) \(\chi_{ 120 } ( 77, ·)\) \(\chi_{ 120 } ( 73, ·)\) \(\chi_{ 120 } ( 71, ·)\) \(\chi_{ 120 } ( 67, ·)\) \(\chi_{ 120 } ( 1, ·)\)