Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \(x^{6} \) \(\mathstrut -\mathstrut x^{5} \) \(\mathstrut -\mathstrut 16 x^{4} \) \(\mathstrut +\mathstrut x^{3} \) \(\mathstrut +\mathstrut 47 x^{2} \) \(\mathstrut +\mathstrut 10 x \) \(\mathstrut -\mathstrut 11 \)
$\times$ | \(\chi_{ 95 } ( 1, ·)\) | \(\chi_{ 95 } ( 64, ·)\) | \(\chi_{ 95 } ( 49, ·)\) | \(\chi_{ 95 } ( 39, ·)\) | \(\chi_{ 95 } ( 26, ·)\) | \(\chi_{ 95 } ( 11, ·)\) |
---|---|---|---|---|---|---|
\(\chi_{ 95 }(1, ·)\) | \(\chi_{ 95 } ( 1, ·)\) | \(\chi_{ 95 } ( 64, ·)\) | \(\chi_{ 95 } ( 49, ·)\) | \(\chi_{ 95 } ( 39, ·)\) | \(\chi_{ 95 } ( 26, ·)\) | \(\chi_{ 95 } ( 11, ·)\) |
\(\chi_{ 95 }(64, ·)\) | \(\chi_{ 95 } ( 64, ·)\) | \(\chi_{ 95 } ( 11, ·)\) | \(\chi_{ 95 } ( 1, ·)\) | \(\chi_{ 95 } ( 26, ·)\) | \(\chi_{ 95 } ( 49, ·)\) | \(\chi_{ 95 } ( 39, ·)\) |
\(\chi_{ 95 }(49, ·)\) | \(\chi_{ 95 } ( 49, ·)\) | \(\chi_{ 95 } ( 1, ·)\) | \(\chi_{ 95 } ( 26, ·)\) | \(\chi_{ 95 } ( 11, ·)\) | \(\chi_{ 95 } ( 39, ·)\) | \(\chi_{ 95 } ( 64, ·)\) |
\(\chi_{ 95 }(39, ·)\) | \(\chi_{ 95 } ( 39, ·)\) | \(\chi_{ 95 } ( 26, ·)\) | \(\chi_{ 95 } ( 11, ·)\) | \(\chi_{ 95 } ( 1, ·)\) | \(\chi_{ 95 } ( 64, ·)\) | \(\chi_{ 95 } ( 49, ·)\) |
\(\chi_{ 95 }(26, ·)\) | \(\chi_{ 95 } ( 26, ·)\) | \(\chi_{ 95 } ( 49, ·)\) | \(\chi_{ 95 } ( 39, ·)\) | \(\chi_{ 95 } ( 64, ·)\) | \(\chi_{ 95 } ( 11, ·)\) | \(\chi_{ 95 } ( 1, ·)\) |
\(\chi_{ 95 }(11, ·)\) | \(\chi_{ 95 } ( 11, ·)\) | \(\chi_{ 95 } ( 39, ·)\) | \(\chi_{ 95 } ( 64, ·)\) | \(\chi_{ 95 } ( 49, ·)\) | \(\chi_{ 95 } ( 1, ·)\) | \(\chi_{ 95 } ( 26, ·)\) |