Group of Dirichlet characters

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

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

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