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

$K$ is the global number field defined by \( x^{2} - x + 263 \)

$\times$ \(\chi_{ 1051 } ( 1, ·)\) \(\chi_{ 1051 } ( 1050, ·)\)
\(\chi_{ 1051 }(1, ·)\) \(\chi_{ 1051 } ( 1, ·)\) \(\chi_{ 1051 } ( 1050, ·)\)
\(\chi_{ 1051 }(1050, ·)\) \(\chi_{ 1051 } ( 1050, ·)\) \(\chi_{ 1051 } ( 1, ·)\)