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

$K$ is the global number field defined by \( x^{2} - x - 813 \)

$\times$ \(\chi_{ 3253 } ( 1, ·)\) \(\chi_{ 3253 } ( 3252, ·)\)
\(\chi_{ 3253 }(1, ·)\) \(\chi_{ 3253 } ( 1, ·)\) \(\chi_{ 3253 } ( 3252, ·)\)
\(\chi_{ 3253 }(3252, ·)\) \(\chi_{ 3253 } ( 3252, ·)\) \(\chi_{ 3253 } ( 1, ·)\)