Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{14} + 29 x^{12} + 290 x^{10} + 1247 x^{8} + 2262 x^{6} + 1566 x^{4} + 377 x^{2} + 29 \)
$\times$ | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 63, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 116 }(1, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 63, ·)\) |
\(\chi_{ 116 }(81, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 115, ·)\) |
\(\chi_{ 116 }(67, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 45, ·)\) |
\(\chi_{ 116 }(51, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 81, ·)\) |
\(\chi_{ 116 }(65, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 35, ·)\) |
\(\chi_{ 116 }(71, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 65, ·)\) |
\(\chi_{ 116 }(45, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 51, ·)\) |
\(\chi_{ 116 }(49, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 71, ·)\) |
\(\chi_{ 116 }(115, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 53, ·)\) |
\(\chi_{ 116 }(53, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 91, ·)\) |
\(\chi_{ 116 }(25, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 67, ·)\) |
\(\chi_{ 116 }(91, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 49, ·)\) |
\(\chi_{ 116 }(35, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 25, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 1, ·)\) |
\(\chi_{ 116 }(63, ·)\) | \(\chi_{ 116 } ( 63, ·)\) | \(\chi_{ 116 } ( 115, ·)\) | \(\chi_{ 116 } ( 45, ·)\) | \(\chi_{ 116 } ( 81, ·)\) | \(\chi_{ 116 } ( 35, ·)\) | \(\chi_{ 116 } ( 65, ·)\) | \(\chi_{ 116 } ( 51, ·)\) | \(\chi_{ 116 } ( 71, ·)\) | \(\chi_{ 116 } ( 53, ·)\) | \(\chi_{ 116 } ( 91, ·)\) | \(\chi_{ 116 } ( 67, ·)\) | \(\chi_{ 116 } ( 49, ·)\) | \(\chi_{ 116 } ( 1, ·)\) | \(\chi_{ 116 } ( 25, ·)\) |