Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} + 2 x^{14} - 8 x^{10} - 16 x^{8} - 32 x^{6} + 128 x^{2} + 256 \)
$\times$ | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 59, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 120 }(1, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 59, ·)\) |
\(\chi_{ 120 }(67, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 113, ·)\) |
\(\chi_{ 120 }(17, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 43, ·)\) |
\(\chi_{ 120 }(73, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 107, ·)\) |
\(\chi_{ 120 }(11, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 49, ·)\) |
\(\chi_{ 120 }(43, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 17, ·)\) |
\(\chi_{ 120 }(83, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 97, ·)\) |
\(\chi_{ 120 }(89, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 91, ·)\) |
\(\chi_{ 120 }(91, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 89, ·)\) |
\(\chi_{ 120 }(97, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 83, ·)\) |
\(\chi_{ 120 }(113, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 67, ·)\) |
\(\chi_{ 120 }(41, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 19, ·)\) |
\(\chi_{ 120 }(107, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 73, ·)\) |
\(\chi_{ 120 }(49, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 11, ·)\) |
\(\chi_{ 120 }(19, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 41, ·)\) |
\(\chi_{ 120 }(59, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 113, ·)\) | \(\chi_{ 120 } ( 43, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 17, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 91, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 67, ·)\) | \(\chi_{ 120 } ( 19, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 41, ·)\) | \(\chi_{ 120 } ( 1, ·)\) |