Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \(x^{12} - x^{11} - 4 x^{10} - 10 x^{9} + 39 x^{8} - 78 x^{7} + 214 x^{6} - 280 x^{5} + 693 x^{4} - 573 x^{3} - 222 x^{2} + 123 x + 601\)
$\times$ | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 60, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 91 }(1, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 60, ·)\) |
\(\chi_{ 91 }(64, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 18, ·)\) |
\(\chi_{ 91 }(8, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 25, ·)\) |
\(\chi_{ 91 }(44, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 1, ·)\) |
\(\chi_{ 91 }(79, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 8, ·)\) |
\(\chi_{ 91 }(18, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 79, ·)\) |
\(\chi_{ 91 }(51, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 57, ·)\) |
\(\chi_{ 91 }(53, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 86, ·)\) |
\(\chi_{ 91 }(86, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 64, ·)\) |
\(\chi_{ 91 }(25, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 44, ·)\) |
\(\chi_{ 91 }(57, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 51, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 53, ·)\) |
\(\chi_{ 91 }(60, ·)\) | \(\chi_{ 91 } ( 60, ·)\) | \(\chi_{ 91 } ( 18, ·)\) | \(\chi_{ 91 } ( 25, ·)\) | \(\chi_{ 91 } ( 1, ·)\) | \(\chi_{ 91 } ( 8, ·)\) | \(\chi_{ 91 } ( 79, ·)\) | \(\chi_{ 91 } ( 57, ·)\) | \(\chi_{ 91 } ( 86, ·)\) | \(\chi_{ 91 } ( 64, ·)\) | \(\chi_{ 91 } ( 44, ·)\) | \(\chi_{ 91 } ( 53, ·)\) | \(\chi_{ 91 } ( 51, ·)\) |