Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} - x^{3} + 249 x^{2} + x + 15046 \)
$\times$ | \(\chi_{ 1003 } ( 1, ·)\) | \(\chi_{ 1003 } ( 412, ·)\) | \(\chi_{ 1003 } ( 237, ·)\) | \(\chi_{ 1003 } ( 353, ·)\) |
---|---|---|---|---|
\(\chi_{ 1003 }(1, ·)\) | \(\chi_{ 1003 } ( 1, ·)\) | \(\chi_{ 1003 } ( 412, ·)\) | \(\chi_{ 1003 } ( 237, ·)\) | \(\chi_{ 1003 } ( 353, ·)\) |
\(\chi_{ 1003 }(412, ·)\) | \(\chi_{ 1003 } ( 412, ·)\) | \(\chi_{ 1003 } ( 237, ·)\) | \(\chi_{ 1003 } ( 353, ·)\) | \(\chi_{ 1003 } ( 1, ·)\) |
\(\chi_{ 1003 }(237, ·)\) | \(\chi_{ 1003 } ( 237, ·)\) | \(\chi_{ 1003 } ( 353, ·)\) | \(\chi_{ 1003 } ( 1, ·)\) | \(\chi_{ 1003 } ( 412, ·)\) |
\(\chi_{ 1003 }(353, ·)\) | \(\chi_{ 1003 } ( 353, ·)\) | \(\chi_{ 1003 } ( 1, ·)\) | \(\chi_{ 1003 } ( 412, ·)\) | \(\chi_{ 1003 } ( 237, ·)\) |