Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{2} - 170 \)
$\times$ | \(\chi_{ 680 } ( 1, ·)\) | \(\chi_{ 680 } ( 509, ·)\) |
---|---|---|
\(\chi_{ 680 }(1, ·)\) | \(\chi_{ 680 } ( 1, ·)\) | \(\chi_{ 680 } ( 509, ·)\) |
\(\chi_{ 680 }(509, ·)\) | \(\chi_{ 680 } ( 509, ·)\) | \(\chi_{ 680 } ( 1, ·)\) |