Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{6} - x^{5} + 13 x^{4} - 9 x^{3} + 107 x^{2} - 25 x + 377 \)
$\times$ | \(\chi_{ 161 } ( 1, ·)\) | \(\chi_{ 161 } ( 114, ·)\) | \(\chi_{ 161 } ( 116, ·)\) | \(\chi_{ 161 } ( 22, ·)\) | \(\chi_{ 161 } ( 137, ·)\) | \(\chi_{ 161 } ( 93, ·)\) |
---|---|---|---|---|---|---|
\(\chi_{ 161 }(1, ·)\) | \(\chi_{ 161 } ( 1, ·)\) | \(\chi_{ 161 } ( 114, ·)\) | \(\chi_{ 161 } ( 116, ·)\) | \(\chi_{ 161 } ( 22, ·)\) | \(\chi_{ 161 } ( 137, ·)\) | \(\chi_{ 161 } ( 93, ·)\) |
\(\chi_{ 161 }(114, ·)\) | \(\chi_{ 161 } ( 114, ·)\) | \(\chi_{ 161 } ( 116, ·)\) | \(\chi_{ 161 } ( 22, ·)\) | \(\chi_{ 161 } ( 93, ·)\) | \(\chi_{ 161 } ( 1, ·)\) | \(\chi_{ 161 } ( 137, ·)\) |
\(\chi_{ 161 }(116, ·)\) | \(\chi_{ 161 } ( 116, ·)\) | \(\chi_{ 161 } ( 22, ·)\) | \(\chi_{ 161 } ( 93, ·)\) | \(\chi_{ 161 } ( 137, ·)\) | \(\chi_{ 161 } ( 114, ·)\) | \(\chi_{ 161 } ( 1, ·)\) |
\(\chi_{ 161 }(22, ·)\) | \(\chi_{ 161 } ( 22, ·)\) | \(\chi_{ 161 } ( 93, ·)\) | \(\chi_{ 161 } ( 137, ·)\) | \(\chi_{ 161 } ( 1, ·)\) | \(\chi_{ 161 } ( 116, ·)\) | \(\chi_{ 161 } ( 114, ·)\) |
\(\chi_{ 161 }(137, ·)\) | \(\chi_{ 161 } ( 137, ·)\) | \(\chi_{ 161 } ( 1, ·)\) | \(\chi_{ 161 } ( 114, ·)\) | \(\chi_{ 161 } ( 116, ·)\) | \(\chi_{ 161 } ( 93, ·)\) | \(\chi_{ 161 } ( 22, ·)\) |
\(\chi_{ 161 }(93, ·)\) | \(\chi_{ 161 } ( 93, ·)\) | \(\chi_{ 161 } ( 137, ·)\) | \(\chi_{ 161 } ( 1, ·)\) | \(\chi_{ 161 } ( 114, ·)\) | \(\chi_{ 161 } ( 22, ·)\) | \(\chi_{ 161 } ( 116, ·)\) |