Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} - 2 x^{15} - 5 x^{14} + 20 x^{13} + 19 x^{12} + 88 x^{11} - 497 x^{10} + 10 x^{9} + 3711 x^{8} - 3712 x^{7} + 2758 x^{6} - 1816 x^{5} + 1084 x^{4} - 464 x^{3} + 184 x^{2} - 64 x + 16 \)
$\times$ | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 251, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 280 }(1, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 251, ·)\) |
\(\chi_{ 280 }(267, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 97, ·)\) |
\(\chi_{ 280 }(139, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 169, ·)\) |
\(\chi_{ 280 }(209, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 99, ·)\) |
\(\chi_{ 280 }(83, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 113, ·)\) |
\(\chi_{ 280 }(153, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 43, ·)\) |
\(\chi_{ 280 }(27, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 57, ·)\) |
\(\chi_{ 280 }(97, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 267, ·)\) |
\(\chi_{ 280 }(99, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 209, ·)\) |
\(\chi_{ 280 }(41, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 211, ·)\) |
\(\chi_{ 280 }(43, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 153, ·)\) |
\(\chi_{ 280 }(113, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 83, ·)\) |
\(\chi_{ 280 }(211, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 41, ·)\) |
\(\chi_{ 280 }(169, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 139, ·)\) |
\(\chi_{ 280 }(57, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 27, ·)\) |
\(\chi_{ 280 }(251, ·)\) | \(\chi_{ 280 } ( 251, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 99, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 43, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 267, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 211, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 83, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 139, ·)\) | \(\chi_{ 280 } ( 27, ·)\) | \(\chi_{ 280 } ( 1, ·)\) |