Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by \(x^{2} \) \(\mathstrut -\mathstrut 35 \)

$\times$ \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 139, ·)\)
\(\chi_{ 140 }(1, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 139, ·)\)
\(\chi_{ 140 }(139, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 1, ·)\)