Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{4} + 93x^{2} + 2116 \)
| $\times$ | \(\chi_{ 740 } ( 1, ·)\) | \(\chi_{ 740 } ( 371, ·)\) | \(\chi_{ 740 } ( 369, ·)\) | \(\chi_{ 740 } ( 739, ·)\) |
|---|---|---|---|---|
| \(\chi_{ 740 }(1, ·)\) | \(\chi_{ 740 } ( 1, ·)\) | \(\chi_{ 740 } ( 371, ·)\) | \(\chi_{ 740 } ( 369, ·)\) | \(\chi_{ 740 } ( 739, ·)\) |
| \(\chi_{ 740 }(371, ·)\) | \(\chi_{ 740 } ( 371, ·)\) | \(\chi_{ 740 } ( 1, ·)\) | \(\chi_{ 740 } ( 739, ·)\) | \(\chi_{ 740 } ( 369, ·)\) |
| \(\chi_{ 740 }(369, ·)\) | \(\chi_{ 740 } ( 369, ·)\) | \(\chi_{ 740 } ( 739, ·)\) | \(\chi_{ 740 } ( 1, ·)\) | \(\chi_{ 740 } ( 371, ·)\) |
| \(\chi_{ 740 }(739, ·)\) | \(\chi_{ 740 } ( 739, ·)\) | \(\chi_{ 740 } ( 369, ·)\) | \(\chi_{ 740 } ( 371, ·)\) | \(\chi_{ 740 } ( 1, ·)\) |