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

$K$ is the global number field defined by \( x^{14} + 29 x^{12} + 290 x^{10} + 1247 x^{8} + 2262 x^{6} + 1566 x^{4} + 377 x^{2} + 29 \)

$\times$ \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 63, ·)\)
\(\chi_{ 116 }(1, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 63, ·)\)
\(\chi_{ 116 }(81, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 115, ·)\)
\(\chi_{ 116 }(67, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 45, ·)\)
\(\chi_{ 116 }(51, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 81, ·)\)
\(\chi_{ 116 }(65, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 35, ·)\)
\(\chi_{ 116 }(71, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 65, ·)\)
\(\chi_{ 116 }(45, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 51, ·)\)
\(\chi_{ 116 }(49, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 71, ·)\)
\(\chi_{ 116 }(115, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 53, ·)\)
\(\chi_{ 116 }(53, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 91, ·)\)
\(\chi_{ 116 }(25, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 67, ·)\)
\(\chi_{ 116 }(91, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 49, ·)\)
\(\chi_{ 116 }(35, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 25, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 1, ·)\)
\(\chi_{ 116 }(63, ·)\) \(\chi_{ 116 } ( 63, ·)\) \(\chi_{ 116 } ( 115, ·)\) \(\chi_{ 116 } ( 45, ·)\) \(\chi_{ 116 } ( 81, ·)\) \(\chi_{ 116 } ( 35, ·)\) \(\chi_{ 116 } ( 65, ·)\) \(\chi_{ 116 } ( 51, ·)\) \(\chi_{ 116 } ( 71, ·)\) \(\chi_{ 116 } ( 53, ·)\) \(\chi_{ 116 } ( 91, ·)\) \(\chi_{ 116 } ( 67, ·)\) \(\chi_{ 116 } ( 49, ·)\) \(\chi_{ 116 } ( 1, ·)\) \(\chi_{ 116 } ( 25, ·)\)