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

$K$ is the global number field defined by \( x^{2} - x - 40 \)

$\times$ \(\chi_{ 161 } ( 1, ·)\) \(\chi_{ 161 } ( 160, ·)\)
\(\chi_{ 161 }(1, ·)\) \(\chi_{ 161 } ( 1, ·)\) \(\chi_{ 161 } ( 160, ·)\)
\(\chi_{ 161 }(160, ·)\) \(\chi_{ 161 } ( 160, ·)\) \(\chi_{ 161 } ( 1, ·)\)