Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{2} - x - 51 \)
| $\times$ | \(\chi_{ 205 } ( 1, ·)\) | \(\chi_{ 205 } ( 204, ·)\) |
|---|---|---|
| \(\chi_{ 205 }(1, ·)\) | \(\chi_{ 205 } ( 1, ·)\) | \(\chi_{ 205 } ( 204, ·)\) |
| \(\chi_{ 205 }(204, ·)\) | \(\chi_{ 205 } ( 204, ·)\) | \(\chi_{ 205 } ( 1, ·)\) |