Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} - 27 x^{12} + 366 x^{8} - 308 x^{4} + 81 \)
$\times$ | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 57, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 104 }(1, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 57, ·)\) |
\(\chi_{ 104 }(5, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 77, ·)\) |
\(\chi_{ 104 }(73, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 1, ·)\) |
\(\chi_{ 104 }(77, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 21, ·)\) |
\(\chi_{ 104 }(79, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 31, ·)\) |
\(\chi_{ 104 }(83, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 51, ·)\) |
\(\chi_{ 104 }(21, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 53, ·)\) |
\(\chi_{ 104 }(25, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 73, ·)\) |
\(\chi_{ 104 }(27, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 83, ·)\) |
\(\chi_{ 104 }(31, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 103, ·)\) |
\(\chi_{ 104 }(99, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 27, ·)\) |
\(\chi_{ 104 }(103, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 47, ·)\) |
\(\chi_{ 104 }(47, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 79, ·)\) |
\(\chi_{ 104 }(51, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 99, ·)\) |
\(\chi_{ 104 }(53, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 25, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 5, ·)\) |
\(\chi_{ 104 }(57, ·)\) | \(\chi_{ 104 } ( 57, ·)\) | \(\chi_{ 104 } ( 77, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 21, ·)\) | \(\chi_{ 104 } ( 31, ·)\) | \(\chi_{ 104 } ( 51, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 73, ·)\) | \(\chi_{ 104 } ( 83, ·)\) | \(\chi_{ 104 } ( 103, ·)\) | \(\chi_{ 104 } ( 27, ·)\) | \(\chi_{ 104 } ( 47, ·)\) | \(\chi_{ 104 } ( 79, ·)\) | \(\chi_{ 104 } ( 99, ·)\) | \(\chi_{ 104 } ( 5, ·)\) | \(\chi_{ 104 } ( 25, ·)\) |