Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 656 x^{12} - 1752 x^{11} + 3898 x^{10} - 7148 x^{9} + 10467 x^{8} - 11960 x^{7} + 8262 x^{6} - 264 x^{5} + 372 x^{4} - 6272 x^{3} + 4376 x^{2} - 480 x + 16 \)
$\times$ | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 253, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 280 }(1, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 253, ·)\) |
\(\chi_{ 280 }(69, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 97, ·)\) |
\(\chi_{ 280 }(13, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 209, ·)\) |
\(\chi_{ 280 }(141, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 113, ·)\) |
\(\chi_{ 280 }(209, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 237, ·)\) |
\(\chi_{ 280 }(153, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 69, ·)\) |
\(\chi_{ 280 }(29, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 57, ·)\) |
\(\chi_{ 280 }(197, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 1, ·)\) |
\(\chi_{ 280 }(97, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 181, ·)\) |
\(\chi_{ 280 }(41, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 13, ·)\) |
\(\chi_{ 280 }(237, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 41, ·)\) |
\(\chi_{ 280 }(113, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 29, ·)\) |
\(\chi_{ 280 }(181, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 153, ·)\) |
\(\chi_{ 280 }(169, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 197, ·)\) |
\(\chi_{ 280 }(57, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 169, ·)\) | \(\chi_{ 280 } ( 141, ·)\) |
\(\chi_{ 280 }(253, ·)\) | \(\chi_{ 280 } ( 253, ·)\) | \(\chi_{ 280 } ( 97, ·)\) | \(\chi_{ 280 } ( 209, ·)\) | \(\chi_{ 280 } ( 113, ·)\) | \(\chi_{ 280 } ( 237, ·)\) | \(\chi_{ 280 } ( 69, ·)\) | \(\chi_{ 280 } ( 57, ·)\) | \(\chi_{ 280 } ( 1, ·)\) | \(\chi_{ 280 } ( 181, ·)\) | \(\chi_{ 280 } ( 13, ·)\) | \(\chi_{ 280 } ( 41, ·)\) | \(\chi_{ 280 } ( 29, ·)\) | \(\chi_{ 280 } ( 153, ·)\) | \(\chi_{ 280 } ( 197, ·)\) | \(\chi_{ 280 } ( 141, ·)\) | \(\chi_{ 280 } ( 169, ·)\) |