Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} - x^{3} - 39 x^{2} + 39 x + 281 \)
$\times$ | \(\chi_{ 155 } ( 1, ·)\) | \(\chi_{ 155 } ( 123, ·)\) | \(\chi_{ 155 } ( 92, ·)\) | \(\chi_{ 155 } ( 94, ·)\) |
---|---|---|---|---|
\(\chi_{ 155 }(1, ·)\) | \(\chi_{ 155 } ( 1, ·)\) | \(\chi_{ 155 } ( 123, ·)\) | \(\chi_{ 155 } ( 92, ·)\) | \(\chi_{ 155 } ( 94, ·)\) |
\(\chi_{ 155 }(123, ·)\) | \(\chi_{ 155 } ( 123, ·)\) | \(\chi_{ 155 } ( 94, ·)\) | \(\chi_{ 155 } ( 1, ·)\) | \(\chi_{ 155 } ( 92, ·)\) |
\(\chi_{ 155 }(92, ·)\) | \(\chi_{ 155 } ( 92, ·)\) | \(\chi_{ 155 } ( 1, ·)\) | \(\chi_{ 155 } ( 94, ·)\) | \(\chi_{ 155 } ( 123, ·)\) |
\(\chi_{ 155 }(94, ·)\) | \(\chi_{ 155 } ( 94, ·)\) | \(\chi_{ 155 } ( 92, ·)\) | \(\chi_{ 155 } ( 123, ·)\) | \(\chi_{ 155 } ( 1, ·)\) |