Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{2} - 10 \)
$\times$
\(\chi_{ 40 } ( 1, ·)\)
\(\chi_{ 40 } ( 29, ·)\)
\(\chi_{ 40 }(1, ·)\)
\(\chi_{ 40 } ( 1, ·)\)
\(\chi_{ 40 } ( 29, ·)\)
\(\chi_{ 40 }(29, ·)\)
\(\chi_{ 40 } ( 29, ·)\)
\(\chi_{ 40 } ( 1, ·)\)