Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{2} - x - 3 \)
| $\times$ | \(\chi_{ 13 } ( 1, ·)\) | \(\chi_{ 13 } ( 12, ·)\) |
|---|---|---|
| \(\chi_{ 13 }(1, ·)\) | \(\chi_{ 13 } ( 1, ·)\) | \(\chi_{ 13 } ( 12, ·)\) |
| \(\chi_{ 13 }(12, ·)\) | \(\chi_{ 13 } ( 12, ·)\) | \(\chi_{ 13 } ( 1, ·)\) |