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

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

$\times$ \(\chi_{ 28 } ( 1, ·)\) \(\chi_{ 28 } ( 27, ·)\) \(\chi_{ 28 } ( 13, ·)\) \(\chi_{ 28 } ( 15, ·)\)
\(\chi_{ 28 }(1, ·)\) \(\chi_{ 28 } ( 1, ·)\) \(\chi_{ 28 } ( 27, ·)\) \(\chi_{ 28 } ( 13, ·)\) \(\chi_{ 28 } ( 15, ·)\)
\(\chi_{ 28 }(27, ·)\) \(\chi_{ 28 } ( 27, ·)\) \(\chi_{ 28 } ( 1, ·)\) \(\chi_{ 28 } ( 15, ·)\) \(\chi_{ 28 } ( 13, ·)\)
\(\chi_{ 28 }(13, ·)\) \(\chi_{ 28 } ( 13, ·)\) \(\chi_{ 28 } ( 15, ·)\) \(\chi_{ 28 } ( 1, ·)\) \(\chi_{ 28 } ( 27, ·)\)
\(\chi_{ 28 }(15, ·)\) \(\chi_{ 28 } ( 15, ·)\) \(\chi_{ 28 } ( 13, ·)\) \(\chi_{ 28 } ( 27, ·)\) \(\chi_{ 28 } ( 1, ·)\)