Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \(x^{17} - x^{16} - 48 x^{15} + 105 x^{14} + 763 x^{13} - 2579 x^{12} - 3653 x^{11} + 23311 x^{10} - 11031 x^{9} - 74838 x^{8} + 107759 x^{7} + 50288 x^{6} - 198615 x^{5} + 102976 x^{4} + 58507 x^{3} - 75722 x^{2} + 25763 x - 2837\)
$\times$ | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 61, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 103 }(1, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 61, ·)\) |
\(\chi_{ 103 }(64, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 93, ·)\) |
\(\chi_{ 103 }(66, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 9, ·)\) |
\(\chi_{ 103 }(8, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 76, ·)\) |
\(\chi_{ 103 }(9, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 34, ·)\) |
\(\chi_{ 103 }(76, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 1, ·)\) |
\(\chi_{ 103 }(13, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 72, ·)\) |
\(\chi_{ 103 }(14, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 30, ·)\) |
\(\chi_{ 103 }(79, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 81, ·)\) |
\(\chi_{ 103 }(81, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 100, ·)\) |
\(\chi_{ 103 }(23, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 64, ·)\) |
\(\chi_{ 103 }(93, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 8, ·)\) |
\(\chi_{ 103 }(30, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 79, ·)\) |
\(\chi_{ 103 }(34, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 14, ·)\) |
\(\chi_{ 103 }(100, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 23, ·)\) |
\(\chi_{ 103 }(72, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 13, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 66, ·)\) |
\(\chi_{ 103 }(61, ·)\) | \(\chi_{ 103 } ( 61, ·)\) | \(\chi_{ 103 } ( 93, ·)\) | \(\chi_{ 103 } ( 9, ·)\) | \(\chi_{ 103 } ( 76, ·)\) | \(\chi_{ 103 } ( 34, ·)\) | \(\chi_{ 103 } ( 1, ·)\) | \(\chi_{ 103 } ( 72, ·)\) | \(\chi_{ 103 } ( 30, ·)\) | \(\chi_{ 103 } ( 81, ·)\) | \(\chi_{ 103 } ( 100, ·)\) | \(\chi_{ 103 } ( 64, ·)\) | \(\chi_{ 103 } ( 8, ·)\) | \(\chi_{ 103 } ( 79, ·)\) | \(\chi_{ 103 } ( 14, ·)\) | \(\chi_{ 103 } ( 23, ·)\) | \(\chi_{ 103 } ( 66, ·)\) | \(\chi_{ 103 } ( 13, ·)\) |