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

$K$ is the global number field defined by \( x^{2} - x + 587 \)

$\times$ \(\chi_{ 2347 } ( 1, ·)\) \(\chi_{ 2347 } ( 2346, ·)\)
\(\chi_{ 2347 }(1, ·)\) \(\chi_{ 2347 } ( 1, ·)\) \(\chi_{ 2347 } ( 2346, ·)\)
\(\chi_{ 2347 }(2346, ·)\) \(\chi_{ 2347 } ( 2346, ·)\) \(\chi_{ 2347 } ( 1, ·)\)