Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{2} - x + 50 \)
| $\times$ | \(\chi_{ 199 } ( 1, ·)\) | \(\chi_{ 199 } ( 198, ·)\) |
|---|---|---|
| \(\chi_{ 199 }(1, ·)\) | \(\chi_{ 199 } ( 1, ·)\) | \(\chi_{ 199 } ( 198, ·)\) |
| \(\chi_{ 199 }(198, ·)\) | \(\chi_{ 199 } ( 198, ·)\) | \(\chi_{ 199 } ( 1, ·)\) |