Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} + 16 x^{14} + 105 x^{12} + 364 x^{10} + 714 x^{8} + 784 x^{6} + 440 x^{4} + 96 x^{2} + 1 \)
$\times$ | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 119, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 120 }(1, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 119, ·)\) |
\(\chi_{ 120 }(7, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 113, ·)\) |
\(\chi_{ 120 }(13, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 107, ·)\) |
\(\chi_{ 120 }(17, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 103, ·)\) |
\(\chi_{ 120 }(19, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 101, ·)\) |
\(\chi_{ 120 }(71, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 49, ·)\) |
\(\chi_{ 120 }(103, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 17, ·)\) |
\(\chi_{ 120 }(29, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 91, ·)\) |
\(\chi_{ 120 }(101, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 19, ·)\) |
\(\chi_{ 120 }(91, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 29, ·)\) |
\(\chi_{ 120 }(37, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 83, ·)\) |
\(\chi_{ 120 }(49, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 71, ·)\) |
\(\chi_{ 120 }(107, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 13, ·)\) |
\(\chi_{ 120 }(113, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 7, ·)\) |
\(\chi_{ 120 }(83, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 37, ·)\) |
\(\chi_{ 120 }(119, ·)\) | \(\chi_{ 120 } ( 119, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 71, ·)\) | \(\chi_{ 120 } ( 13, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 37, ·)\) | \(\chi_{ 120 } ( 1, ·)\) |