Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display

$\times$ \(\chi_{ 7 } ( 1, ·)\) \(\chi_{ 7 } ( 2, ·)\) \(\chi_{ 7 } ( 3, ·)\) \(\chi_{ 7 } ( 4, ·)\) \(\chi_{ 7 } ( 5, ·)\) \(\chi_{ 7 } ( 6, ·)\)
\(\chi_{ 7 }(1, ·)\) \(\chi_{ 7 } ( 1, ·)\) \(\chi_{ 7 } ( 2, ·)\) \(\chi_{ 7 } ( 3, ·)\) \(\chi_{ 7 } ( 4, ·)\) \(\chi_{ 7 } ( 5, ·)\) \(\chi_{ 7 } ( 6, ·)\)
\(\chi_{ 7 }(2, ·)\) \(\chi_{ 7 } ( 2, ·)\) \(\chi_{ 7 } ( 4, ·)\) \(\chi_{ 7 } ( 6, ·)\) \(\chi_{ 7 } ( 1, ·)\) \(\chi_{ 7 } ( 3, ·)\) \(\chi_{ 7 } ( 5, ·)\)
\(\chi_{ 7 }(3, ·)\) \(\chi_{ 7 } ( 3, ·)\) \(\chi_{ 7 } ( 6, ·)\) \(\chi_{ 7 } ( 2, ·)\) \(\chi_{ 7 } ( 5, ·)\) \(\chi_{ 7 } ( 1, ·)\) \(\chi_{ 7 } ( 4, ·)\)
\(\chi_{ 7 }(4, ·)\) \(\chi_{ 7 } ( 4, ·)\) \(\chi_{ 7 } ( 1, ·)\) \(\chi_{ 7 } ( 5, ·)\) \(\chi_{ 7 } ( 2, ·)\) \(\chi_{ 7 } ( 6, ·)\) \(\chi_{ 7 } ( 3, ·)\)
\(\chi_{ 7 }(5, ·)\) \(\chi_{ 7 } ( 5, ·)\) \(\chi_{ 7 } ( 3, ·)\) \(\chi_{ 7 } ( 1, ·)\) \(\chi_{ 7 } ( 6, ·)\) \(\chi_{ 7 } ( 4, ·)\) \(\chi_{ 7 } ( 2, ·)\)
\(\chi_{ 7 }(6, ·)\) \(\chi_{ 7 } ( 6, ·)\) \(\chi_{ 7 } ( 5, ·)\) \(\chi_{ 7 } ( 4, ·)\) \(\chi_{ 7 } ( 3, ·)\) \(\chi_{ 7 } ( 2, ·)\) \(\chi_{ 7 } ( 1, ·)\)