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

$K$ is the global number field defined by \( x^{12} - x^{11} + x^{9} - x^{8} + x^{6} - x^{4} + x^{3} - x + 1 \) Copy content Toggle raw display

$\times$ \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 20, ·)\)
\(\chi_{ 21 }(1, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 20, ·)\)
\(\chi_{ 21 }(2, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 19, ·)\)
\(\chi_{ 21 }(4, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 17, ·)\)
\(\chi_{ 21 }(5, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 16, ·)\)
\(\chi_{ 21 }(8, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 13, ·)\)
\(\chi_{ 21 }(10, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 11, ·)\)
\(\chi_{ 21 }(11, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 10, ·)\)
\(\chi_{ 21 }(13, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 8, ·)\)
\(\chi_{ 21 }(16, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 5, ·)\)
\(\chi_{ 21 }(17, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 4, ·)\)
\(\chi_{ 21 }(19, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 1, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 2, ·)\)
\(\chi_{ 21 }(20, ·)\) \(\chi_{ 21 } ( 20, ·)\) \(\chi_{ 21 } ( 19, ·)\) \(\chi_{ 21 } ( 17, ·)\) \(\chi_{ 21 } ( 16, ·)\) \(\chi_{ 21 } ( 13, ·)\) \(\chi_{ 21 } ( 11, ·)\) \(\chi_{ 21 } ( 10, ·)\) \(\chi_{ 21 } ( 8, ·)\) \(\chi_{ 21 } ( 5, ·)\) \(\chi_{ 21 } ( 4, ·)\) \(\chi_{ 21 } ( 2, ·)\) \(\chi_{ 21 } ( 1, ·)\)