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

$K$ is the global number field defined by \( x^{6} - 19x^{4} + 38x^{2} - 19 \) Copy content Toggle raw display

$\times$ \(\chi_{ 76 } ( 1, ·)\) \(\chi_{ 76 } ( 27, ·)\) \(\chi_{ 76 } ( 49, ·)\) \(\chi_{ 76 } ( 75, ·)\) \(\chi_{ 76 } ( 45, ·)\) \(\chi_{ 76 } ( 31, ·)\)
\(\chi_{ 76 }(1, ·)\) \(\chi_{ 76 } ( 1, ·)\) \(\chi_{ 76 } ( 27, ·)\) \(\chi_{ 76 } ( 49, ·)\) \(\chi_{ 76 } ( 75, ·)\) \(\chi_{ 76 } ( 45, ·)\) \(\chi_{ 76 } ( 31, ·)\)
\(\chi_{ 76 }(27, ·)\) \(\chi_{ 76 } ( 27, ·)\) \(\chi_{ 76 } ( 45, ·)\) \(\chi_{ 76 } ( 31, ·)\) \(\chi_{ 76 } ( 49, ·)\) \(\chi_{ 76 } ( 75, ·)\) \(\chi_{ 76 } ( 1, ·)\)
\(\chi_{ 76 }(49, ·)\) \(\chi_{ 76 } ( 49, ·)\) \(\chi_{ 76 } ( 31, ·)\) \(\chi_{ 76 } ( 45, ·)\) \(\chi_{ 76 } ( 27, ·)\) \(\chi_{ 76 } ( 1, ·)\) \(\chi_{ 76 } ( 75, ·)\)
\(\chi_{ 76 }(75, ·)\) \(\chi_{ 76 } ( 75, ·)\) \(\chi_{ 76 } ( 49, ·)\) \(\chi_{ 76 } ( 27, ·)\) \(\chi_{ 76 } ( 1, ·)\) \(\chi_{ 76 } ( 31, ·)\) \(\chi_{ 76 } ( 45, ·)\)
\(\chi_{ 76 }(45, ·)\) \(\chi_{ 76 } ( 45, ·)\) \(\chi_{ 76 } ( 75, ·)\) \(\chi_{ 76 } ( 1, ·)\) \(\chi_{ 76 } ( 31, ·)\) \(\chi_{ 76 } ( 49, ·)\) \(\chi_{ 76 } ( 27, ·)\)
\(\chi_{ 76 }(31, ·)\) \(\chi_{ 76 } ( 31, ·)\) \(\chi_{ 76 } ( 1, ·)\) \(\chi_{ 76 } ( 75, ·)\) \(\chi_{ 76 } ( 45, ·)\) \(\chi_{ 76 } ( 27, ·)\) \(\chi_{ 76 } ( 49, ·)\)