Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{16} + 12 x^{14} + 110 x^{12} + 362 x^{10} + 879 x^{8} + 758 x^{6} + 495 x^{4} + 23 x^{2} + 1 \)
$\times$ | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 127, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 420 }(1, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 127, ·)\) |
\(\chi_{ 420 }(323, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 281, ·)\) |
\(\chi_{ 420 }(391, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 97, ·)\) |
\(\chi_{ 420 }(139, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 13, ·)\) |
\(\chi_{ 420 }(13, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 391, ·)\) |
\(\chi_{ 420 }(407, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 29, ·)\) |
\(\chi_{ 420 }(281, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 407, ·)\) |
\(\chi_{ 420 }(29, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 323, ·)\) |
\(\chi_{ 420 }(97, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 139, ·)\) |
\(\chi_{ 420 }(419, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 293, ·)\) |
\(\chi_{ 420 }(293, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 251, ·)\) |
\(\chi_{ 420 }(169, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 43, ·)\) |
\(\chi_{ 420 }(43, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 1, ·)\) |
\(\chi_{ 420 }(377, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 419, ·)\) |
\(\chi_{ 420 }(251, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 169, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 377, ·)\) |
\(\chi_{ 420 }(127, ·)\) | \(\chi_{ 420 } ( 127, ·)\) | \(\chi_{ 420 } ( 281, ·)\) | \(\chi_{ 420 } ( 97, ·)\) | \(\chi_{ 420 } ( 13, ·)\) | \(\chi_{ 420 } ( 391, ·)\) | \(\chi_{ 420 } ( 29, ·)\) | \(\chi_{ 420 } ( 407, ·)\) | \(\chi_{ 420 } ( 323, ·)\) | \(\chi_{ 420 } ( 139, ·)\) | \(\chi_{ 420 } ( 293, ·)\) | \(\chi_{ 420 } ( 251, ·)\) | \(\chi_{ 420 } ( 43, ·)\) | \(\chi_{ 420 } ( 1, ·)\) | \(\chi_{ 420 } ( 419, ·)\) | \(\chi_{ 420 } ( 377, ·)\) | \(\chi_{ 420 } ( 169, ·)\) |