Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{2} - 43 \)
| $\times$ | \(\chi_{ 172 } ( 1, ·)\) | \(\chi_{ 172 } ( 171, ·)\) |
|---|---|---|
| \(\chi_{ 172 }(1, ·)\) | \(\chi_{ 172 } ( 1, ·)\) | \(\chi_{ 172 } ( 171, ·)\) |
| \(\chi_{ 172 }(171, ·)\) | \(\chi_{ 172 } ( 171, ·)\) | \(\chi_{ 172 } ( 1, ·)\) |