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

$K$ is the global number field defined by \( x^{2} - x - 1317 \)

$\times$ \(\chi_{ 5269 } ( 1, ·)\) \(\chi_{ 5269 } ( 5268, ·)\)
\(\chi_{ 5269 }(1, ·)\) \(\chi_{ 5269 } ( 1, ·)\) \(\chi_{ 5269 } ( 5268, ·)\)
\(\chi_{ 5269 }(5268, ·)\) \(\chi_{ 5269 } ( 5268, ·)\) \(\chi_{ 5269 } ( 1, ·)\)