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

$K$ is the global number field defined by \(x^{17} - x^{16} - 48 x^{15} + 105 x^{14} + 763 x^{13} - 2579 x^{12} - 3653 x^{11} + 23311 x^{10} - 11031 x^{9} - 74838 x^{8} + 107759 x^{7} + 50288 x^{6} - 198615 x^{5} + 102976 x^{4} + 58507 x^{3} - 75722 x^{2} + 25763 x - 2837\)  Toggle raw display

$\times$ \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 61, ·)\)
\(\chi_{ 103 }(1, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 61, ·)\)
\(\chi_{ 103 }(64, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 93, ·)\)
\(\chi_{ 103 }(66, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 9, ·)\)
\(\chi_{ 103 }(8, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 76, ·)\)
\(\chi_{ 103 }(9, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 34, ·)\)
\(\chi_{ 103 }(76, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 1, ·)\)
\(\chi_{ 103 }(13, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 72, ·)\)
\(\chi_{ 103 }(14, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 30, ·)\)
\(\chi_{ 103 }(79, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 81, ·)\)
\(\chi_{ 103 }(81, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 100, ·)\)
\(\chi_{ 103 }(23, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 64, ·)\)
\(\chi_{ 103 }(93, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 8, ·)\)
\(\chi_{ 103 }(30, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 79, ·)\)
\(\chi_{ 103 }(34, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 14, ·)\)
\(\chi_{ 103 }(100, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 23, ·)\)
\(\chi_{ 103 }(72, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 13, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 66, ·)\)
\(\chi_{ 103 }(61, ·)\) \(\chi_{ 103 } ( 61, ·)\) \(\chi_{ 103 } ( 93, ·)\) \(\chi_{ 103 } ( 9, ·)\) \(\chi_{ 103 } ( 76, ·)\) \(\chi_{ 103 } ( 34, ·)\) \(\chi_{ 103 } ( 1, ·)\) \(\chi_{ 103 } ( 72, ·)\) \(\chi_{ 103 } ( 30, ·)\) \(\chi_{ 103 } ( 81, ·)\) \(\chi_{ 103 } ( 100, ·)\) \(\chi_{ 103 } ( 64, ·)\) \(\chi_{ 103 } ( 8, ·)\) \(\chi_{ 103 } ( 79, ·)\) \(\chi_{ 103 } ( 14, ·)\) \(\chi_{ 103 } ( 23, ·)\) \(\chi_{ 103 } ( 66, ·)\) \(\chi_{ 103 } ( 13, ·)\)