Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} - 13 x^{14} + 129 x^{12} - 494 x^{10} + 1430 x^{8} - 494 x^{6} + 129 x^{4} - 13 x^{2} + 1 \)
$\times$ | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 191, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 204 }(1, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 191, ·)\) |
\(\chi_{ 204 }(67, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 149, ·)\) |
\(\chi_{ 204 }(137, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 55, ·)\) |
\(\chi_{ 204 }(203, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 13, ·)\) |
\(\chi_{ 204 }(13, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 35, ·)\) |
\(\chi_{ 204 }(149, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 103, ·)\) |
\(\chi_{ 204 }(89, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 67, ·)\) |
\(\chi_{ 204 }(157, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 203, ·)\) |
\(\chi_{ 204 }(35, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 157, ·)\) |
\(\chi_{ 204 }(101, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 115, ·)\) |
\(\chi_{ 204 }(103, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 89, ·)\) |
\(\chi_{ 204 }(169, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 47, ·)\) |
\(\chi_{ 204 }(47, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 1, ·)\) |
\(\chi_{ 204 }(115, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 137, ·)\) |
\(\chi_{ 204 }(55, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 169, ·)\) | \(\chi_{ 204 } ( 101, ·)\) |
\(\chi_{ 204 }(191, ·)\) | \(\chi_{ 204 } ( 191, ·)\) | \(\chi_{ 204 } ( 149, ·)\) | \(\chi_{ 204 } ( 55, ·)\) | \(\chi_{ 204 } ( 13, ·)\) | \(\chi_{ 204 } ( 35, ·)\) | \(\chi_{ 204 } ( 103, ·)\) | \(\chi_{ 204 } ( 67, ·)\) | \(\chi_{ 204 } ( 203, ·)\) | \(\chi_{ 204 } ( 157, ·)\) | \(\chi_{ 204 } ( 115, ·)\) | \(\chi_{ 204 } ( 89, ·)\) | \(\chi_{ 204 } ( 47, ·)\) | \(\chi_{ 204 } ( 1, ·)\) | \(\chi_{ 204 } ( 137, ·)\) | \(\chi_{ 204 } ( 101, ·)\) | \(\chi_{ 204 } ( 169, ·)\) |