Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} - x^{15} - 3 x^{14} + 10 x^{13} - 10 x^{12} + 31 x^{11} + 66 x^{10} - 310 x^{9} + 229 x^{8} + 930 x^{7} + 594 x^{6} - 837 x^{5} - 810 x^{4} - 2430 x^{3} - 2187 x^{2} + 2187 x + 6561 \)
$\times$ | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 53, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 195 }(1, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 53, ·)\) |
\(\chi_{ 195 }(64, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 77, ·)\) |
\(\chi_{ 195 }(194, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 142, ·)\) |
\(\chi_{ 195 }(131, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 118, ·)\) |
\(\chi_{ 195 }(77, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 181, ·)\) |
\(\chi_{ 195 }(142, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 116, ·)\) |
\(\chi_{ 195 }(79, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 92, ·)\) |
\(\chi_{ 195 }(14, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 157, ·)\) |
\(\chi_{ 195 }(92, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 1, ·)\) |
\(\chi_{ 195 }(157, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 131, ·)\) |
\(\chi_{ 195 }(38, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 64, ·)\) |
\(\chi_{ 195 }(103, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 194, ·)\) |
\(\chi_{ 195 }(116, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 103, ·)\) |
\(\chi_{ 195 }(181, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 38, ·)\) |
\(\chi_{ 195 }(118, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 79, ·)\) | \(\chi_{ 195 } ( 14, ·)\) |
\(\chi_{ 195 }(53, ·)\) | \(\chi_{ 195 } ( 53, ·)\) | \(\chi_{ 195 } ( 77, ·)\) | \(\chi_{ 195 } ( 142, ·)\) | \(\chi_{ 195 } ( 118, ·)\) | \(\chi_{ 195 } ( 181, ·)\) | \(\chi_{ 195 } ( 116, ·)\) | \(\chi_{ 195 } ( 92, ·)\) | \(\chi_{ 195 } ( 157, ·)\) | \(\chi_{ 195 } ( 1, ·)\) | \(\chi_{ 195 } ( 131, ·)\) | \(\chi_{ 195 } ( 64, ·)\) | \(\chi_{ 195 } ( 194, ·)\) | \(\chi_{ 195 } ( 103, ·)\) | \(\chi_{ 195 } ( 38, ·)\) | \(\chi_{ 195 } ( 14, ·)\) | \(\chi_{ 195 } ( 79, ·)\) |