Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} - 4 x^{14} + 15 x^{12} - 56 x^{10} + 209 x^{8} - 56 x^{6} + 15 x^{4} - 4 x^{2} + 1 \)
$\times$ | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 119, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 120 }(1, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 119, ·)\) |
\(\chi_{ 120 }(67, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 53, ·)\) |
\(\chi_{ 120 }(71, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 49, ·)\) |
\(\chi_{ 120 }(73, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 47, ·)\) |
\(\chi_{ 120 }(77, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 43, ·)\) |
\(\chi_{ 120 }(19, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 101, ·)\) |
\(\chi_{ 120 }(23, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 97, ·)\) |
\(\chi_{ 120 }(91, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 29, ·)\) |
\(\chi_{ 120 }(29, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 91, ·)\) |
\(\chi_{ 120 }(97, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 23, ·)\) |
\(\chi_{ 120 }(101, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 19, ·)\) |
\(\chi_{ 120 }(43, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 77, ·)\) |
\(\chi_{ 120 }(47, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 73, ·)\) |
\(\chi_{ 120 }(49, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 71, ·)\) |
\(\chi_{ 120 }(53, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 67, ·)\) |
\(\chi_{ 120 }(119, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 47, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 23, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 1, ·)\) |