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

$K$ is the global number field defined by \( x^{2} - x - 260 \)

$\times$ \(\chi_{ 1041 } ( 1, ·)\) \(\chi_{ 1041 } ( 1040, ·)\)
\(\chi_{ 1041 }(1, ·)\) \(\chi_{ 1041 } ( 1, ·)\) \(\chi_{ 1041 } ( 1040, ·)\)
\(\chi_{ 1041 }(1040, ·)\) \(\chi_{ 1041 } ( 1040, ·)\) \(\chi_{ 1041 } ( 1, ·)\)