Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{6} - x^{5} + 2x^{4} - 11x^{3} + 341x^{2} - 708x + 2876 \)
| $\times$ | \(\chi_{ 133 } ( 1, ·)\) | \(\chi_{ 133 } ( 11, ·)\) | \(\chi_{ 133 } ( 113, ·)\) | \(\chi_{ 133 } ( 121, ·)\) | \(\chi_{ 133 } ( 107, ·)\) | \(\chi_{ 133 } ( 46, ·)\) |
|---|---|---|---|---|---|---|
| \(\chi_{ 133 }(1, ·)\) | \(\chi_{ 133 } ( 1, ·)\) | \(\chi_{ 133 } ( 11, ·)\) | \(\chi_{ 133 } ( 113, ·)\) | \(\chi_{ 133 } ( 121, ·)\) | \(\chi_{ 133 } ( 107, ·)\) | \(\chi_{ 133 } ( 46, ·)\) |
| \(\chi_{ 133 }(11, ·)\) | \(\chi_{ 133 } ( 11, ·)\) | \(\chi_{ 133 } ( 121, ·)\) | \(\chi_{ 133 } ( 46, ·)\) | \(\chi_{ 133 } ( 1, ·)\) | \(\chi_{ 133 } ( 113, ·)\) | \(\chi_{ 133 } ( 107, ·)\) |
| \(\chi_{ 133 }(113, ·)\) | \(\chi_{ 133 } ( 113, ·)\) | \(\chi_{ 133 } ( 46, ·)\) | \(\chi_{ 133 } ( 1, ·)\) | \(\chi_{ 133 } ( 107, ·)\) | \(\chi_{ 133 } ( 121, ·)\) | \(\chi_{ 133 } ( 11, ·)\) |
| \(\chi_{ 133 }(121, ·)\) | \(\chi_{ 133 } ( 121, ·)\) | \(\chi_{ 133 } ( 1, ·)\) | \(\chi_{ 133 } ( 107, ·)\) | \(\chi_{ 133 } ( 11, ·)\) | \(\chi_{ 133 } ( 46, ·)\) | \(\chi_{ 133 } ( 113, ·)\) |
| \(\chi_{ 133 }(107, ·)\) | \(\chi_{ 133 } ( 107, ·)\) | \(\chi_{ 133 } ( 113, ·)\) | \(\chi_{ 133 } ( 121, ·)\) | \(\chi_{ 133 } ( 46, ·)\) | \(\chi_{ 133 } ( 11, ·)\) | \(\chi_{ 133 } ( 1, ·)\) |
| \(\chi_{ 133 }(46, ·)\) | \(\chi_{ 133 } ( 46, ·)\) | \(\chi_{ 133 } ( 107, ·)\) | \(\chi_{ 133 } ( 11, ·)\) | \(\chi_{ 133 } ( 113, ·)\) | \(\chi_{ 133 } ( 1, ·)\) | \(\chi_{ 133 } ( 121, ·)\) |