Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{2} - x + 2501 \)
$\times$ | \(\chi_{ 10003 } ( 1, ·)\) | \(\chi_{ 10003 } ( 10002, ·)\) |
---|---|---|
\(\chi_{ 10003 }(1, ·)\) | \(\chi_{ 10003 } ( 1, ·)\) | \(\chi_{ 10003 } ( 10002, ·)\) |
\(\chi_{ 10003 }(10002, ·)\) | \(\chi_{ 10003 } ( 10002, ·)\) | \(\chi_{ 10003 } ( 1, ·)\) |