Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{2} + 357 \)
| $\times$ | \(\chi_{ 1428 } ( 1, ·)\) | \(\chi_{ 1428 } ( 1427, ·)\) |
|---|---|---|
| \(\chi_{ 1428 }(1, ·)\) | \(\chi_{ 1428 } ( 1, ·)\) | \(\chi_{ 1428 } ( 1427, ·)\) |
| \(\chi_{ 1428 }(1427, ·)\) | \(\chi_{ 1428 } ( 1427, ·)\) | \(\chi_{ 1428 } ( 1, ·)\) |