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

$K$ is the global number field defined by \( x^{2} - x - 1008 \)

$\times$ \(\chi_{ 4033 } ( 1, ·)\) \(\chi_{ 4033 } ( 4032, ·)\)
\(\chi_{ 4033 }(1, ·)\) \(\chi_{ 4033 } ( 1, ·)\) \(\chi_{ 4033 } ( 4032, ·)\)
\(\chi_{ 4033 }(4032, ·)\) \(\chi_{ 4033 } ( 4032, ·)\) \(\chi_{ 4033 } ( 1, ·)\)