Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \(x^{2} \) \(\mathstrut -\mathstrut x \) \(\mathstrut -\mathstrut 1 \)
$\times$ | \(\chi_{ 5 } ( 1, ·)\) | \(\chi_{ 5 } ( 4, ·)\) |
---|---|---|
\(\chi_{ 5 }(1, ·)\) | \(\chi_{ 5 } ( 1, ·)\) | \(\chi_{ 5 } ( 4, ·)\) |
\(\chi_{ 5 }(4, ·)\) | \(\chi_{ 5 } ( 4, ·)\) | \(\chi_{ 5 } ( 1, ·)\) |