Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{2} + 5 \)
$\times$ | \(\chi_{ 20 } ( 1, ·)\) | \(\chi_{ 20 } ( 19, ·)\) |
---|---|---|
\(\chi_{ 20 }(1, ·)\) | \(\chi_{ 20 } ( 1, ·)\) | \(\chi_{ 20 } ( 19, ·)\) |
\(\chi_{ 20 }(19, ·)\) | \(\chi_{ 20 } ( 19, ·)\) | \(\chi_{ 20 } ( 1, ·)\) |