Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by x^2 1
$\times$ | \(\chi_{ 4 } ( 1, ·)\) | \(\chi_{ 4 } ( 3, ·)\) |
---|---|---|
\(\chi_{ 4 }(1, ·)\) | \(\chi_{ 4 } ( 1, ·)\) | \(\chi_{ 4 } ( 3, ·)\) |
\(\chi_{ 4 }(3, ·)\) | \(\chi_{ 4 } ( 3, ·)\) | \(\chi_{ 4 } ( 1, ·)\) |