Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{3} - 3351 x - 21223 \)
| $\times$ | \(\chi_{ 10053 } ( 1, ·)\) | \(\chi_{ 10053 } ( 4588, ·)\) | \(\chi_{ 10053 } ( 8815, ·)\) |
|---|---|---|---|
| \(\chi_{ 10053 }(1, ·)\) | \(\chi_{ 10053 } ( 1, ·)\) | \(\chi_{ 10053 } ( 4588, ·)\) | \(\chi_{ 10053 } ( 8815, ·)\) |
| \(\chi_{ 10053 }(4588, ·)\) | \(\chi_{ 10053 } ( 4588, ·)\) | \(\chi_{ 10053 } ( 8815, ·)\) | \(\chi_{ 10053 } ( 1, ·)\) |
| \(\chi_{ 10053 }(8815, ·)\) | \(\chi_{ 10053 } ( 8815, ·)\) | \(\chi_{ 10053 } ( 1, ·)\) | \(\chi_{ 10053 } ( 4588, ·)\) |