Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} - 467 x^{2} + 53361 \)
| $\times$ | \(\chi_{ 4645 } ( 1, ·)\) | \(\chi_{ 4645 } ( 2786, ·)\) | \(\chi_{ 4645 } ( 1859, ·)\) | \(\chi_{ 4645 } ( 4644, ·)\) |
|---|---|---|---|---|
| \(\chi_{ 4645 }(1, ·)\) | \(\chi_{ 4645 } ( 1, ·)\) | \(\chi_{ 4645 } ( 2786, ·)\) | \(\chi_{ 4645 } ( 1859, ·)\) | \(\chi_{ 4645 } ( 4644, ·)\) |
| \(\chi_{ 4645 }(2786, ·)\) | \(\chi_{ 4645 } ( 2786, ·)\) | \(\chi_{ 4645 } ( 1, ·)\) | \(\chi_{ 4645 } ( 4644, ·)\) | \(\chi_{ 4645 } ( 1859, ·)\) |
| \(\chi_{ 4645 }(1859, ·)\) | \(\chi_{ 4645 } ( 1859, ·)\) | \(\chi_{ 4645 } ( 4644, ·)\) | \(\chi_{ 4645 } ( 1, ·)\) | \(\chi_{ 4645 } ( 2786, ·)\) |
| \(\chi_{ 4645 }(4644, ·)\) | \(\chi_{ 4645 } ( 4644, ·)\) | \(\chi_{ 4645 } ( 1859, ·)\) | \(\chi_{ 4645 } ( 2786, ·)\) | \(\chi_{ 4645 } ( 1, ·)\) |