Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{2} - x - 4 \)
| $\times$ | \(\chi_{ 17 } ( 1, ·)\) | \(\chi_{ 17 } ( 16, ·)\) |
|---|---|---|
| \(\chi_{ 17 }(1, ·)\) | \(\chi_{ 17 } ( 1, ·)\) | \(\chi_{ 17 } ( 16, ·)\) |
| \(\chi_{ 17 }(16, ·)\) | \(\chi_{ 17 } ( 16, ·)\) | \(\chi_{ 17 } ( 1, ·)\) |