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

$K$ is the global number field defined by \( x^{4} + 19x^{2} + 256 \) Copy content Toggle raw display

$\times$ \(\chi_{ 663 } ( 1, ·)\) \(\chi_{ 663 } ( 560, ·)\) \(\chi_{ 663 } ( 662, ·)\) \(\chi_{ 663 } ( 103, ·)\)
\(\chi_{ 663 }(1, ·)\) \(\chi_{ 663 } ( 1, ·)\) \(\chi_{ 663 } ( 560, ·)\) \(\chi_{ 663 } ( 662, ·)\) \(\chi_{ 663 } ( 103, ·)\)
\(\chi_{ 663 }(560, ·)\) \(\chi_{ 663 } ( 560, ·)\) \(\chi_{ 663 } ( 1, ·)\) \(\chi_{ 663 } ( 103, ·)\) \(\chi_{ 663 } ( 662, ·)\)
\(\chi_{ 663 }(662, ·)\) \(\chi_{ 663 } ( 662, ·)\) \(\chi_{ 663 } ( 103, ·)\) \(\chi_{ 663 } ( 1, ·)\) \(\chi_{ 663 } ( 560, ·)\)
\(\chi_{ 663 }(103, ·)\) \(\chi_{ 663 } ( 103, ·)\) \(\chi_{ 663 } ( 662, ·)\) \(\chi_{ 663 } ( 560, ·)\) \(\chi_{ 663 } ( 1, ·)\)