Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{2} - x - 25 \)
$\times$ | \(\chi_{ 101 } ( 1, ·)\) | \(\chi_{ 101 } ( 100, ·)\) |
---|---|---|
\(\chi_{ 101 }(1, ·)\) | \(\chi_{ 101 } ( 1, ·)\) | \(\chi_{ 101 } ( 100, ·)\) |
\(\chi_{ 101 }(100, ·)\) | \(\chi_{ 101 } ( 100, ·)\) | \(\chi_{ 101 } ( 1, ·)\) |