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

$K$ is the global number field defined by \( x^{4} - 7x^{2} + 16 \) Copy content Toggle raw display

$\times$ \(\chi_{ 60 } ( 1, ·)\) \(\chi_{ 60 } ( 59, ·)\) \(\chi_{ 60 } ( 29, ·)\) \(\chi_{ 60 } ( 31, ·)\)
\(\chi_{ 60 }(1, ·)\) \(\chi_{ 60 } ( 1, ·)\) \(\chi_{ 60 } ( 59, ·)\) \(\chi_{ 60 } ( 29, ·)\) \(\chi_{ 60 } ( 31, ·)\)
\(\chi_{ 60 }(59, ·)\) \(\chi_{ 60 } ( 59, ·)\) \(\chi_{ 60 } ( 1, ·)\) \(\chi_{ 60 } ( 31, ·)\) \(\chi_{ 60 } ( 29, ·)\)
\(\chi_{ 60 }(29, ·)\) \(\chi_{ 60 } ( 29, ·)\) \(\chi_{ 60 } ( 31, ·)\) \(\chi_{ 60 } ( 1, ·)\) \(\chi_{ 60 } ( 59, ·)\)
\(\chi_{ 60 }(31, ·)\) \(\chi_{ 60 } ( 31, ·)\) \(\chi_{ 60 } ( 29, ·)\) \(\chi_{ 60 } ( 59, ·)\) \(\chi_{ 60 } ( 1, ·)\)