Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{3} - x^{2} - 12x - 11 \)
| $\times$ | \(\chi_{ 37 } ( 1, ·)\) | \(\chi_{ 37 } ( 10, ·)\) | \(\chi_{ 37 } ( 26, ·)\) |
|---|---|---|---|
| \(\chi_{ 37 }(1, ·)\) | \(\chi_{ 37 } ( 1, ·)\) | \(\chi_{ 37 } ( 10, ·)\) | \(\chi_{ 37 } ( 26, ·)\) |
| \(\chi_{ 37 }(10, ·)\) | \(\chi_{ 37 } ( 10, ·)\) | \(\chi_{ 37 } ( 26, ·)\) | \(\chi_{ 37 } ( 1, ·)\) |
| \(\chi_{ 37 }(26, ·)\) | \(\chi_{ 37 } ( 26, ·)\) | \(\chi_{ 37 } ( 1, ·)\) | \(\chi_{ 37 } ( 10, ·)\) |