Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} - x^{3} - 9 x^{2} + 9 x + 11 \)
| $\times$ | \(\chi_{ 35 } ( 1, ·)\) | \(\chi_{ 35 } ( 27, ·)\) | \(\chi_{ 35 } ( 13, ·)\) | \(\chi_{ 35 } ( 29, ·)\) |
|---|---|---|---|---|
| \(\chi_{ 35 }(1, ·)\) | \(\chi_{ 35 } ( 1, ·)\) | \(\chi_{ 35 } ( 27, ·)\) | \(\chi_{ 35 } ( 13, ·)\) | \(\chi_{ 35 } ( 29, ·)\) |
| \(\chi_{ 35 }(27, ·)\) | \(\chi_{ 35 } ( 27, ·)\) | \(\chi_{ 35 } ( 29, ·)\) | \(\chi_{ 35 } ( 1, ·)\) | \(\chi_{ 35 } ( 13, ·)\) |
| \(\chi_{ 35 }(13, ·)\) | \(\chi_{ 35 } ( 13, ·)\) | \(\chi_{ 35 } ( 1, ·)\) | \(\chi_{ 35 } ( 29, ·)\) | \(\chi_{ 35 } ( 27, ·)\) |
| \(\chi_{ 35 }(29, ·)\) | \(\chi_{ 35 } ( 29, ·)\) | \(\chi_{ 35 } ( 13, ·)\) | \(\chi_{ 35 } ( 27, ·)\) | \(\chi_{ 35 } ( 1, ·)\) |