Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} - x^{15} + 5 x^{14} - 14 x^{13} + 14 x^{12} + 31 x^{11} - 30 x^{10} + 434 x^{9} - 1059 x^{8} + 2170 x^{7} - 750 x^{6} + 3875 x^{5} + 8750 x^{4} - 43750 x^{3} + 78125 x^{2} - 78125 x + 390625 \)
$\times$ | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 191, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 285 }(1, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 191, ·)\) |
\(\chi_{ 285 }(134, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 229, ·)\) |
\(\chi_{ 285 }(77, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 172, ·)\) |
\(\chi_{ 285 }(208, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 113, ·)\) |
\(\chi_{ 285 }(248, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 58, ·)\) |
\(\chi_{ 285 }(151, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 56, ·)\) |
\(\chi_{ 285 }(284, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 94, ·)\) |
\(\chi_{ 285 }(94, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 284, ·)\) |
\(\chi_{ 285 }(37, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 227, ·)\) |
\(\chi_{ 285 }(227, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 37, ·)\) |
\(\chi_{ 285 }(229, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 134, ·)\) |
\(\chi_{ 285 }(172, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 77, ·)\) |
\(\chi_{ 285 }(113, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 208, ·)\) |
\(\chi_{ 285 }(56, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 151, ·)\) |
\(\chi_{ 285 }(58, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 1, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 248, ·)\) |
\(\chi_{ 285 }(191, ·)\) | \(\chi_{ 285 } ( 191, ·)\) | \(\chi_{ 285 } ( 229, ·)\) | \(\chi_{ 285 } ( 172, ·)\) | \(\chi_{ 285 } ( 113, ·)\) | \(\chi_{ 285 } ( 58, ·)\) | \(\chi_{ 285 } ( 56, ·)\) | \(\chi_{ 285 } ( 94, ·)\) | \(\chi_{ 285 } ( 284, ·)\) | \(\chi_{ 285 } ( 227, ·)\) | \(\chi_{ 285 } ( 37, ·)\) | \(\chi_{ 285 } ( 134, ·)\) | \(\chi_{ 285 } ( 77, ·)\) | \(\chi_{ 285 } ( 208, ·)\) | \(\chi_{ 285 } ( 151, ·)\) | \(\chi_{ 285 } ( 248, ·)\) | \(\chi_{ 285 } ( 1, ·)\) |