Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} - 2 x^{2} + 16 \)
| $\times$ | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 109, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 89, ·)\) |
|---|---|---|---|---|
| \(\chi_{ 120 }(1, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 109, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 89, ·)\) |
| \(\chi_{ 120 }(109, ·)\) | \(\chi_{ 120 } ( 109, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 101, ·)\) |
| \(\chi_{ 120 }(101, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 1, ·)\) | \(\chi_{ 120 } ( 109, ·)\) |
| \(\chi_{ 120 }(89, ·)\) | \(\chi_{ 120 } ( 89, ·)\) | \(\chi_{ 120 } ( 101, ·)\) | \(\chi_{ 120 } ( 109, ·)\) | \(\chi_{ 120 } ( 1, ·)\) |