Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} - 9 x^{12} + 81 x^{8} - 729 x^{4} + 6561 \)
$\times$ | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 59, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 120 }(1, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 59, ·)\) |
\(\chi_{ 120 }(7, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 53, ·)\) |
\(\chi_{ 120 }(73, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 107, ·)\) |
\(\chi_{ 120 }(11, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 49, ·)\) |
\(\chi_{ 120 }(77, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 103, ·)\) |
\(\chi_{ 120 }(79, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 101, ·)\) |
\(\chi_{ 120 }(83, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 97, ·)\) |
\(\chi_{ 120 }(29, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 31, ·)\) |
\(\chi_{ 120 }(31, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 29, ·)\) |
\(\chi_{ 120 }(97, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 83, ·)\) |
\(\chi_{ 120 }(101, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 79, ·)\) |
\(\chi_{ 120 }(103, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 77, ·)\) |
\(\chi_{ 120 }(107, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 73, ·)\) |
\(\chi_{ 120 }(49, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 11, ·)\) |
\(\chi_{ 120 }(53, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 7, ·)\) |
\(\chi_{ 120 }(59, ·)\) | \(\chi_{ 120 } ( 59, ·)\) | \(\chi_{ 120 } ( 53, ·)\) | \(\chi_{ 120 } ( 107, ·)\) | \(\chi_{ 120 } ( 49, ·)\) | \(\chi_{ 120 } ( 103, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 97, ·)\) | \(\chi_{ 120 } ( 31, ·)\) | \(\chi_{ 120 } ( 29, ·)\) | \(\chi_{ 120 } ( 83, ·)\) | \(\chi_{ 120 } ( 79, ·)\) | \(\chi_{ 120 } ( 77, ·)\) | \(\chi_{ 120 } ( 73, ·)\) | \(\chi_{ 120 } ( 11, ·)\) | \(\chi_{ 120 } ( 7, ·)\) | \(\chi_{ 120 } ( 1, ·)\) |