Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{6} - 3x^{5} + 15x^{4} - 23x^{3} + 123x^{2} - 153x + 489 \)
| $\times$ | \(\chi_{ 207 } ( 1, ·)\) | \(\chi_{ 207 } ( 160, ·)\) | \(\chi_{ 207 } ( 91, ·)\) | \(\chi_{ 207 } ( 22, ·)\) | \(\chi_{ 207 } ( 70, ·)\) | \(\chi_{ 207 } ( 139, ·)\) |
|---|---|---|---|---|---|---|
| \(\chi_{ 207 }(1, ·)\) | \(\chi_{ 207 } ( 1, ·)\) | \(\chi_{ 207 } ( 160, ·)\) | \(\chi_{ 207 } ( 91, ·)\) | \(\chi_{ 207 } ( 22, ·)\) | \(\chi_{ 207 } ( 70, ·)\) | \(\chi_{ 207 } ( 139, ·)\) |
| \(\chi_{ 207 }(160, ·)\) | \(\chi_{ 207 } ( 160, ·)\) | \(\chi_{ 207 } ( 139, ·)\) | \(\chi_{ 207 } ( 70, ·)\) | \(\chi_{ 207 } ( 1, ·)\) | \(\chi_{ 207 } ( 22, ·)\) | \(\chi_{ 207 } ( 91, ·)\) |
| \(\chi_{ 207 }(91, ·)\) | \(\chi_{ 207 } ( 91, ·)\) | \(\chi_{ 207 } ( 70, ·)\) | \(\chi_{ 207 } ( 1, ·)\) | \(\chi_{ 207 } ( 139, ·)\) | \(\chi_{ 207 } ( 160, ·)\) | \(\chi_{ 207 } ( 22, ·)\) |
| \(\chi_{ 207 }(22, ·)\) | \(\chi_{ 207 } ( 22, ·)\) | \(\chi_{ 207 } ( 1, ·)\) | \(\chi_{ 207 } ( 139, ·)\) | \(\chi_{ 207 } ( 70, ·)\) | \(\chi_{ 207 } ( 91, ·)\) | \(\chi_{ 207 } ( 160, ·)\) |
| \(\chi_{ 207 }(70, ·)\) | \(\chi_{ 207 } ( 70, ·)\) | \(\chi_{ 207 } ( 22, ·)\) | \(\chi_{ 207 } ( 160, ·)\) | \(\chi_{ 207 } ( 91, ·)\) | \(\chi_{ 207 } ( 139, ·)\) | \(\chi_{ 207 } ( 1, ·)\) |
| \(\chi_{ 207 }(139, ·)\) | \(\chi_{ 207 } ( 139, ·)\) | \(\chi_{ 207 } ( 91, ·)\) | \(\chi_{ 207 } ( 22, ·)\) | \(\chi_{ 207 } ( 160, ·)\) | \(\chi_{ 207 } ( 1, ·)\) | \(\chi_{ 207 } ( 70, ·)\) |