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

$K$ is the global number field defined by $$x^{8}$$ $$\mathstrut +\mathstrut 1$$

$\times$ $$\chi_{ 16 } ( 1, ·)$$ $$\chi_{ 16 } ( 3, ·)$$ $$\chi_{ 16 } ( 5, ·)$$ $$\chi_{ 16 } ( 7, ·)$$ $$\chi_{ 16 } ( 9, ·)$$ $$\chi_{ 16 } ( 11, ·)$$ $$\chi_{ 16 } ( 13, ·)$$ $$\chi_{ 16 } ( 15, ·)$$
$$\chi_{ 16 }(1, ·)$$ $$\chi_{ 16 } ( 1, ·)$$ $$\chi_{ 16 } ( 3, ·)$$ $$\chi_{ 16 } ( 5, ·)$$ $$\chi_{ 16 } ( 7, ·)$$ $$\chi_{ 16 } ( 9, ·)$$ $$\chi_{ 16 } ( 11, ·)$$ $$\chi_{ 16 } ( 13, ·)$$ $$\chi_{ 16 } ( 15, ·)$$
$$\chi_{ 16 }(3, ·)$$ $$\chi_{ 16 } ( 3, ·)$$ $$\chi_{ 16 } ( 9, ·)$$ $$\chi_{ 16 } ( 15, ·)$$ $$\chi_{ 16 } ( 5, ·)$$ $$\chi_{ 16 } ( 11, ·)$$ $$\chi_{ 16 } ( 1, ·)$$ $$\chi_{ 16 } ( 7, ·)$$ $$\chi_{ 16 } ( 13, ·)$$
$$\chi_{ 16 }(5, ·)$$ $$\chi_{ 16 } ( 5, ·)$$ $$\chi_{ 16 } ( 15, ·)$$ $$\chi_{ 16 } ( 9, ·)$$ $$\chi_{ 16 } ( 3, ·)$$ $$\chi_{ 16 } ( 13, ·)$$ $$\chi_{ 16 } ( 7, ·)$$ $$\chi_{ 16 } ( 1, ·)$$ $$\chi_{ 16 } ( 11, ·)$$
$$\chi_{ 16 }(7, ·)$$ $$\chi_{ 16 } ( 7, ·)$$ $$\chi_{ 16 } ( 5, ·)$$ $$\chi_{ 16 } ( 3, ·)$$ $$\chi_{ 16 } ( 1, ·)$$ $$\chi_{ 16 } ( 15, ·)$$ $$\chi_{ 16 } ( 13, ·)$$ $$\chi_{ 16 } ( 11, ·)$$ $$\chi_{ 16 } ( 9, ·)$$
$$\chi_{ 16 }(9, ·)$$ $$\chi_{ 16 } ( 9, ·)$$ $$\chi_{ 16 } ( 11, ·)$$ $$\chi_{ 16 } ( 13, ·)$$ $$\chi_{ 16 } ( 15, ·)$$ $$\chi_{ 16 } ( 1, ·)$$ $$\chi_{ 16 } ( 3, ·)$$ $$\chi_{ 16 } ( 5, ·)$$ $$\chi_{ 16 } ( 7, ·)$$
$$\chi_{ 16 }(11, ·)$$ $$\chi_{ 16 } ( 11, ·)$$ $$\chi_{ 16 } ( 1, ·)$$ $$\chi_{ 16 } ( 7, ·)$$ $$\chi_{ 16 } ( 13, ·)$$ $$\chi_{ 16 } ( 3, ·)$$ $$\chi_{ 16 } ( 9, ·)$$ $$\chi_{ 16 } ( 15, ·)$$ $$\chi_{ 16 } ( 5, ·)$$
$$\chi_{ 16 }(13, ·)$$ $$\chi_{ 16 } ( 13, ·)$$ $$\chi_{ 16 } ( 7, ·)$$ $$\chi_{ 16 } ( 1, ·)$$ $$\chi_{ 16 } ( 11, ·)$$ $$\chi_{ 16 } ( 5, ·)$$ $$\chi_{ 16 } ( 15, ·)$$ $$\chi_{ 16 } ( 9, ·)$$ $$\chi_{ 16 } ( 3, ·)$$
$$\chi_{ 16 }(15, ·)$$ $$\chi_{ 16 } ( 15, ·)$$ $$\chi_{ 16 } ( 13, ·)$$ $$\chi_{ 16 } ( 11, ·)$$ $$\chi_{ 16 } ( 9, ·)$$ $$\chi_{ 16 } ( 7, ·)$$ $$\chi_{ 16 } ( 5, ·)$$ $$\chi_{ 16 } ( 3, ·)$$ $$\chi_{ 16 } ( 1, ·)$$