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

$K$ is the global number field defined by x^2 - x 65

$\times$ \(\chi_{ 259 } ( 1, ·)\) \(\chi_{ 259 } ( 258, ·)\)
\(\chi_{ 259 }(1, ·)\) \(\chi_{ 259 } ( 1, ·)\) \(\chi_{ 259 } ( 258, ·)\)
\(\chi_{ 259 }(258, ·)\) \(\chi_{ 259 } ( 258, ·)\) \(\chi_{ 259 } ( 1, ·)\)