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

$K$ is the global number field defined by \( x^{6} - 95x^{3} + 684x^{2} - 570x + 2375 \) Copy content Toggle raw display

$\times$ \(\chi_{ 171 } ( 1, ·)\) \(\chi_{ 171 } ( 160, ·)\) \(\chi_{ 171 } ( 37, ·)\) \(\chi_{ 171 } ( 121, ·)\) \(\chi_{ 171 } ( 106, ·)\) \(\chi_{ 171 } ( 31, ·)\)
\(\chi_{ 171 }(1, ·)\) \(\chi_{ 171 } ( 1, ·)\) \(\chi_{ 171 } ( 160, ·)\) \(\chi_{ 171 } ( 37, ·)\) \(\chi_{ 171 } ( 121, ·)\) \(\chi_{ 171 } ( 106, ·)\) \(\chi_{ 171 } ( 31, ·)\)
\(\chi_{ 171 }(160, ·)\) \(\chi_{ 171 } ( 160, ·)\) \(\chi_{ 171 } ( 121, ·)\) \(\chi_{ 171 } ( 106, ·)\) \(\chi_{ 171 } ( 37, ·)\) \(\chi_{ 171 } ( 31, ·)\) \(\chi_{ 171 } ( 1, ·)\)
\(\chi_{ 171 }(37, ·)\) \(\chi_{ 171 } ( 37, ·)\) \(\chi_{ 171 } ( 106, ·)\) \(\chi_{ 171 } ( 1, ·)\) \(\chi_{ 171 } ( 31, ·)\) \(\chi_{ 171 } ( 160, ·)\) \(\chi_{ 171 } ( 121, ·)\)
\(\chi_{ 171 }(121, ·)\) \(\chi_{ 171 } ( 121, ·)\) \(\chi_{ 171 } ( 37, ·)\) \(\chi_{ 171 } ( 31, ·)\) \(\chi_{ 171 } ( 106, ·)\) \(\chi_{ 171 } ( 1, ·)\) \(\chi_{ 171 } ( 160, ·)\)
\(\chi_{ 171 }(106, ·)\) \(\chi_{ 171 } ( 106, ·)\) \(\chi_{ 171 } ( 31, ·)\) \(\chi_{ 171 } ( 160, ·)\) \(\chi_{ 171 } ( 1, ·)\) \(\chi_{ 171 } ( 121, ·)\) \(\chi_{ 171 } ( 37, ·)\)
\(\chi_{ 171 }(31, ·)\) \(\chi_{ 171 } ( 31, ·)\) \(\chi_{ 171 } ( 1, ·)\) \(\chi_{ 171 } ( 121, ·)\) \(\chi_{ 171 } ( 160, ·)\) \(\chi_{ 171 } ( 37, ·)\) \(\chi_{ 171 } ( 106, ·)\)