Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} + x^{14} - x^{10} - x^{8} - x^{6} + x^{2} + 1 \)
$\times$ | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 59, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 60 }(1, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 59, ·)\) |
\(\chi_{ 60 }(7, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 53, ·)\) |
\(\chi_{ 60 }(11, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 49, ·)\) |
\(\chi_{ 60 }(13, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 47, ·)\) |
\(\chi_{ 60 }(17, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 43, ·)\) |
\(\chi_{ 60 }(19, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 41, ·)\) |
\(\chi_{ 60 }(23, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 37, ·)\) |
\(\chi_{ 60 }(29, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 31, ·)\) |
\(\chi_{ 60 }(31, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 29, ·)\) |
\(\chi_{ 60 }(37, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 23, ·)\) |
\(\chi_{ 60 }(41, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 19, ·)\) |
\(\chi_{ 60 }(43, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 17, ·)\) |
\(\chi_{ 60 }(47, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 13, ·)\) |
\(\chi_{ 60 }(49, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 11, ·)\) |
\(\chi_{ 60 }(53, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 1, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 7, ·)\) |
\(\chi_{ 60 }(59, ·)\) | \(\chi_{ 60 } ( 59, ·)\) | \(\chi_{ 60 } ( 53, ·)\) | \(\chi_{ 60 } ( 49, ·)\) | \(\chi_{ 60 } ( 47, ·)\) | \(\chi_{ 60 } ( 43, ·)\) | \(\chi_{ 60 } ( 41, ·)\) | \(\chi_{ 60 } ( 37, ·)\) | \(\chi_{ 60 } ( 31, ·)\) | \(\chi_{ 60 } ( 29, ·)\) | \(\chi_{ 60 } ( 23, ·)\) | \(\chi_{ 60 } ( 19, ·)\) | \(\chi_{ 60 } ( 17, ·)\) | \(\chi_{ 60 } ( 13, ·)\) | \(\chi_{ 60 } ( 11, ·)\) | \(\chi_{ 60 } ( 7, ·)\) | \(\chi_{ 60 } ( 1, ·)\) |