Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{6} - 2 x^{5} - 13 x^{4} + 14 x^{3} + 26 x^{2} - 28 x + 1 \)
| $\times$ | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 81, ·)\) | \(\chi_{ 104 } ( 9, ·)\) | \(\chi_{ 104 } ( 29, ·)\) | \(\chi_{ 104 } ( 61, ·)\) |
|---|---|---|---|---|---|---|
| \(\chi_{ 104 }(1, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 81, ·)\) | \(\chi_{ 104 } ( 9, ·)\) | \(\chi_{ 104 } ( 29, ·)\) | \(\chi_{ 104 } ( 61, ·)\) |
| \(\chi_{ 104 }(53, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 29, ·)\) | \(\chi_{ 104 } ( 61, ·)\) | \(\chi_{ 104 } ( 81, ·)\) | \(\chi_{ 104 } ( 9, ·)\) |
| \(\chi_{ 104 }(81, ·)\) | \(\chi_{ 104 } ( 81, ·)\) | \(\chi_{ 104 } ( 29, ·)\) | \(\chi_{ 104 } ( 9, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 61, ·)\) | \(\chi_{ 104 } ( 53, ·)\) |
| \(\chi_{ 104 }(9, ·)\) | \(\chi_{ 104 } ( 9, ·)\) | \(\chi_{ 104 } ( 61, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 81, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 29, ·)\) |
| \(\chi_{ 104 }(29, ·)\) | \(\chi_{ 104 } ( 29, ·)\) | \(\chi_{ 104 } ( 81, ·)\) | \(\chi_{ 104 } ( 61, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 9, ·)\) | \(\chi_{ 104 } ( 1, ·)\) |
| \(\chi_{ 104 }(61, ·)\) | \(\chi_{ 104 } ( 61, ·)\) | \(\chi_{ 104 } ( 9, ·)\) | \(\chi_{ 104 } ( 53, ·)\) | \(\chi_{ 104 } ( 29, ·)\) | \(\chi_{ 104 } ( 1, ·)\) | \(\chi_{ 104 } ( 81, ·)\) |