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

$K$ is the global number field defined by \( x^{4} + 3x^{2} + 16 \) Copy content Toggle raw display

$\times$ \(\chi_{ 55 } ( 1, ·)\) \(\chi_{ 55 } ( 34, ·)\) \(\chi_{ 55 } ( 21, ·)\) \(\chi_{ 55 } ( 54, ·)\)
\(\chi_{ 55 }(1, ·)\) \(\chi_{ 55 } ( 1, ·)\) \(\chi_{ 55 } ( 34, ·)\) \(\chi_{ 55 } ( 21, ·)\) \(\chi_{ 55 } ( 54, ·)\)
\(\chi_{ 55 }(34, ·)\) \(\chi_{ 55 } ( 34, ·)\) \(\chi_{ 55 } ( 1, ·)\) \(\chi_{ 55 } ( 54, ·)\) \(\chi_{ 55 } ( 21, ·)\)
\(\chi_{ 55 }(21, ·)\) \(\chi_{ 55 } ( 21, ·)\) \(\chi_{ 55 } ( 54, ·)\) \(\chi_{ 55 } ( 1, ·)\) \(\chi_{ 55 } ( 34, ·)\)
\(\chi_{ 55 }(54, ·)\) \(\chi_{ 55 } ( 54, ·)\) \(\chi_{ 55 } ( 21, ·)\) \(\chi_{ 55 } ( 34, ·)\) \(\chi_{ 55 } ( 1, ·)\)