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

$K$ is the global number field defined by \( x^{2} - x + 121 \)

$\times$ \(\chi_{ 483 } ( 1, ·)\) \(\chi_{ 483 } ( 482, ·)\)
\(\chi_{ 483 }(1, ·)\) \(\chi_{ 483 } ( 1, ·)\) \(\chi_{ 483 } ( 482, ·)\)
\(\chi_{ 483 }(482, ·)\) \(\chi_{ 483 } ( 482, ·)\) \(\chi_{ 483 } ( 1, ·)\)