Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{6} - 2x^{5} + 19x^{4} - 14x^{3} + 342x^{2} - 584x + 2849 \)
| $\times$ | \(\chi_{ 760 } ( 1, ·)\) | \(\chi_{ 760 } ( 539, ·)\) | \(\chi_{ 760 } ( 419, ·)\) | \(\chi_{ 760 } ( 121, ·)\) | \(\chi_{ 760 } ( 201, ·)\) | \(\chi_{ 760 } ( 619, ·)\) |
|---|---|---|---|---|---|---|
| \(\chi_{ 760 }(1, ·)\) | \(\chi_{ 760 } ( 1, ·)\) | \(\chi_{ 760 } ( 539, ·)\) | \(\chi_{ 760 } ( 419, ·)\) | \(\chi_{ 760 } ( 121, ·)\) | \(\chi_{ 760 } ( 201, ·)\) | \(\chi_{ 760 } ( 619, ·)\) |
| \(\chi_{ 760 }(539, ·)\) | \(\chi_{ 760 } ( 539, ·)\) | \(\chi_{ 760 } ( 201, ·)\) | \(\chi_{ 760 } ( 121, ·)\) | \(\chi_{ 760 } ( 619, ·)\) | \(\chi_{ 760 } ( 419, ·)\) | \(\chi_{ 760 } ( 1, ·)\) |
| \(\chi_{ 760 }(419, ·)\) | \(\chi_{ 760 } ( 419, ·)\) | \(\chi_{ 760 } ( 121, ·)\) | \(\chi_{ 760 } ( 1, ·)\) | \(\chi_{ 760 } ( 539, ·)\) | \(\chi_{ 760 } ( 619, ·)\) | \(\chi_{ 760 } ( 201, ·)\) |
| \(\chi_{ 760 }(121, ·)\) | \(\chi_{ 760 } ( 121, ·)\) | \(\chi_{ 760 } ( 619, ·)\) | \(\chi_{ 760 } ( 539, ·)\) | \(\chi_{ 760 } ( 201, ·)\) | \(\chi_{ 760 } ( 1, ·)\) | \(\chi_{ 760 } ( 419, ·)\) |
| \(\chi_{ 760 }(201, ·)\) | \(\chi_{ 760 } ( 201, ·)\) | \(\chi_{ 760 } ( 419, ·)\) | \(\chi_{ 760 } ( 619, ·)\) | \(\chi_{ 760 } ( 1, ·)\) | \(\chi_{ 760 } ( 121, ·)\) | \(\chi_{ 760 } ( 539, ·)\) |
| \(\chi_{ 760 }(619, ·)\) | \(\chi_{ 760 } ( 619, ·)\) | \(\chi_{ 760 } ( 1, ·)\) | \(\chi_{ 760 } ( 201, ·)\) | \(\chi_{ 760 } ( 419, ·)\) | \(\chi_{ 760 } ( 539, ·)\) | \(\chi_{ 760 } ( 121, ·)\) |