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

$K$ is the global number field defined by \( x^{3} - x^{2} - 30x - 27 \) Copy content Toggle raw display

$\times$ \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 9, ·)\) \(\chi_{ 91 } ( 81, ·)\)
\(\chi_{ 91 }(1, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 9, ·)\) \(\chi_{ 91 } ( 81, ·)\)
\(\chi_{ 91 }(9, ·)\) \(\chi_{ 91 } ( 9, ·)\) \(\chi_{ 91 } ( 81, ·)\) \(\chi_{ 91 } ( 1, ·)\)
\(\chi_{ 91 }(81, ·)\) \(\chi_{ 91 } ( 81, ·)\) \(\chi_{ 91 } ( 1, ·)\) \(\chi_{ 91 } ( 9, ·)\)