Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} - 113 x^{8} + 6561 \)
$\times$ | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 153, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 176 }(1, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 153, ·)\) |
\(\chi_{ 176 }(67, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 43, ·)\) |
\(\chi_{ 176 }(133, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 109, ·)\) |
\(\chi_{ 176 }(65, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 89, ·)\) |
\(\chi_{ 176 }(87, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 111, ·)\) |
\(\chi_{ 176 }(45, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 21, ·)\) |
\(\chi_{ 176 }(131, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 155, ·)\) |
\(\chi_{ 176 }(21, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 45, ·)\) |
\(\chi_{ 176 }(23, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 175, ·)\) |
\(\chi_{ 176 }(89, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 65, ·)\) |
\(\chi_{ 176 }(111, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 87, ·)\) |
\(\chi_{ 176 }(155, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 131, ·)\) |
\(\chi_{ 176 }(43, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 67, ·)\) |
\(\chi_{ 176 }(109, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 133, ·)\) |
\(\chi_{ 176 }(175, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 1, ·)\) | \(\chi_{ 176 } ( 23, ·)\) |
\(\chi_{ 176 }(153, ·)\) | \(\chi_{ 176 } ( 153, ·)\) | \(\chi_{ 176 } ( 43, ·)\) | \(\chi_{ 176 } ( 109, ·)\) | \(\chi_{ 176 } ( 89, ·)\) | \(\chi_{ 176 } ( 111, ·)\) | \(\chi_{ 176 } ( 21, ·)\) | \(\chi_{ 176 } ( 155, ·)\) | \(\chi_{ 176 } ( 45, ·)\) | \(\chi_{ 176 } ( 175, ·)\) | \(\chi_{ 176 } ( 65, ·)\) | \(\chi_{ 176 } ( 87, ·)\) | \(\chi_{ 176 } ( 131, ·)\) | \(\chi_{ 176 } ( 67, ·)\) | \(\chi_{ 176 } ( 133, ·)\) | \(\chi_{ 176 } ( 23, ·)\) | \(\chi_{ 176 } ( 1, ·)\) |