Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{6} - x^{5} - 3 x^{4} + 7 x^{3} + 25 x^{2} - 55 x + 79 \)
$\times$ | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 48, ·)\) | \(\chi_{ 91 } ( 22, ·)\) | \(\chi_{ 91 } ( 55, ·)\) | \(\chi_{ 91 } ( 27, ·)\) | \(\chi_{ 91 } ( 29, ·)\) |
---|---|---|---|---|---|---|
\(\chi_{ 91 }(1, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 48, ·)\) | \(\chi_{ 91 } ( 22, ·)\) | \(\chi_{ 91 } ( 55, ·)\) | \(\chi_{ 91 } ( 27, ·)\) | \(\chi_{ 91 } ( 29, ·)\) |
\(\chi_{ 91 }(48, ·)\) | \(\chi_{ 91 } ( 48, ·)\) | \(\chi_{ 91 } ( 29, ·)\) | \(\chi_{ 91 } ( 55, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 22, ·)\) | \(\chi_{ 91 } ( 27, ·)\) |
\(\chi_{ 91 }(22, ·)\) | \(\chi_{ 91 } ( 22, ·)\) | \(\chi_{ 91 } ( 55, ·)\) | \(\chi_{ 91 } ( 29, ·)\) | \(\chi_{ 91 } ( 27, ·)\) | \(\chi_{ 91 } ( 48, ·)\) | \(\chi_{ 91 } ( 1, ·)\) |
\(\chi_{ 91 }(55, ·)\) | \(\chi_{ 91 } ( 55, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 27, ·)\) | \(\chi_{ 91 } ( 22, ·)\) | \(\chi_{ 91 } ( 29, ·)\) | \(\chi_{ 91 } ( 48, ·)\) |
\(\chi_{ 91 }(27, ·)\) | \(\chi_{ 91 } ( 27, ·)\) | \(\chi_{ 91 } ( 22, ·)\) | \(\chi_{ 91 } ( 48, ·)\) | \(\chi_{ 91 } ( 29, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 55, ·)\) |
\(\chi_{ 91 }(29, ·)\) | \(\chi_{ 91 } ( 29, ·)\) | \(\chi_{ 91 } ( 27, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 48, ·)\) | \(\chi_{ 91 } ( 55, ·)\) | \(\chi_{ 91 } ( 22, ·)\) |