Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{3} - x^{2} - 30x - 27 \)
$\times$ | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 9, ·)\) | \(\chi_{ 91 } ( 81, ·)\) |
---|---|---|---|
\(\chi_{ 91 }(1, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 9, ·)\) | \(\chi_{ 91 } ( 81, ·)\) |
\(\chi_{ 91 }(9, ·)\) | \(\chi_{ 91 } ( 9, ·)\) | \(\chi_{ 91 } ( 81, ·)\) | \(\chi_{ 91 } ( 1, ·)\) |
\(\chi_{ 91 }(81, ·)\) | \(\chi_{ 91 } ( 81, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 9, ·)\) |