Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by \( x^{16} + 3 x^{14} + 5 x^{12} + 3 x^{10} - 11 x^{8} + 12 x^{6} + 80 x^{4} + 192 x^{2} + 256 \)

$\times$ \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 127, ·)\)
\(\chi_{ 140 }(1, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 127, ·)\)
\(\chi_{ 140 }(69, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 83, ·)\)
\(\chi_{ 140 }(71, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 57, ·)\)
\(\chi_{ 140 }(139, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 13, ·)\)
\(\chi_{ 140 }(13, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 111, ·)\)
\(\chi_{ 140 }(83, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 41, ·)\)
\(\chi_{ 140 }(27, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 69, ·)\)
\(\chi_{ 140 }(29, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 43, ·)\)
\(\chi_{ 140 }(97, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 139, ·)\)
\(\chi_{ 140 }(99, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 113, ·)\)
\(\chi_{ 140 }(41, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 27, ·)\)
\(\chi_{ 140 }(43, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 1, ·)\)
\(\chi_{ 140 }(111, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 97, ·)\)
\(\chi_{ 140 }(113, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 71, ·)\)
\(\chi_{ 140 }(57, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 29, ·)\) \(\chi_{ 140 } ( 99, ·)\)
\(\chi_{ 140 }(127, ·)\) \(\chi_{ 140 } ( 127, ·)\) \(\chi_{ 140 } ( 83, ·)\) \(\chi_{ 140 } ( 57, ·)\) \(\chi_{ 140 } ( 13, ·)\) \(\chi_{ 140 } ( 111, ·)\) \(\chi_{ 140 } ( 41, ·)\) \(\chi_{ 140 } ( 69, ·)\) \(\chi_{ 140 } ( 43, ·)\) \(\chi_{ 140 } ( 139, ·)\) \(\chi_{ 140 } ( 113, ·)\) \(\chi_{ 140 } ( 27, ·)\) \(\chi_{ 140 } ( 1, ·)\) \(\chi_{ 140 } ( 97, ·)\) \(\chi_{ 140 } ( 71, ·)\) \(\chi_{ 140 } ( 99, ·)\) \(\chi_{ 140 } ( 29, ·)\)