Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{12} - x^{11} - 68 x^{10} + 3 x^{9} + 1528 x^{8} + 1135 x^{7} - 12600 x^{6} - 17100 x^{5} + \cdots - 2789 \)
$\times$ | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 565, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 629 }(1, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 565, ·)\) |
\(\chi_{ 629 }(322, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 149, ·)\) |
\(\chi_{ 629 }(38, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 84, ·)\) |
\(\chi_{ 629 }(137, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 38, ·)\) |
\(\chi_{ 629 }(174, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 186, ·)\) |
\(\chi_{ 629 }(47, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 137, ·)\) |
\(\chi_{ 629 }(528, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 174, ·)\) |
\(\chi_{ 629 }(84, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 285, ·)\) |
\(\chi_{ 629 }(149, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 528, ·)\) |
\(\chi_{ 629 }(186, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 47, ·)\) |
\(\chi_{ 629 }(285, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 322, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 1, ·)\) |
\(\chi_{ 629 }(565, ·)\) | \(\chi_{ 629 } ( 565, ·)\) | \(\chi_{ 629 } ( 149, ·)\) | \(\chi_{ 629 } ( 84, ·)\) | \(\chi_{ 629 } ( 38, ·)\) | \(\chi_{ 629 } ( 186, ·)\) | \(\chi_{ 629 } ( 137, ·)\) | \(\chi_{ 629 } ( 174, ·)\) | \(\chi_{ 629 } ( 285, ·)\) | \(\chi_{ 629 } ( 528, ·)\) | \(\chi_{ 629 } ( 47, ·)\) | \(\chi_{ 629 } ( 1, ·)\) | \(\chi_{ 629 } ( 322, ·)\) |