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

$K$ is the global number field defined by \( x^{2} - x + 2514 \)

$\times$ \(\chi_{ 10055 } ( 1, ·)\) \(\chi_{ 10055 } ( 10054, ·)\)
\(\chi_{ 10055 }(1, ·)\) \(\chi_{ 10055 } ( 1, ·)\) \(\chi_{ 10055 } ( 10054, ·)\)
\(\chi_{ 10055 }(10054, ·)\) \(\chi_{ 10055 } ( 10054, ·)\) \(\chi_{ 10055 } ( 1, ·)\)