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

$K$ is the global number field defined by \( x^{12} - x^{11} + 3x^{10} - 4x^{9} + 9x^{8} + 2x^{7} + 12x^{6} + x^{5} + 25x^{4} - 11x^{3} + 5x^{2} - 2x + 1 \) Copy content Toggle raw display

$\times$ \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 29, ·)\)
\(\chi_{ 35 }(1, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 29, ·)\)
\(\chi_{ 35 }(32, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 18, ·)\)
\(\chi_{ 35 }(2, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 23, ·)\)
\(\chi_{ 35 }(4, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 11, ·)\)
\(\chi_{ 35 }(8, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 22, ·)\)
\(\chi_{ 35 }(9, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 16, ·)\)
\(\chi_{ 35 }(11, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 4, ·)\)
\(\chi_{ 35 }(16, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 9, ·)\)
\(\chi_{ 35 }(18, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 32, ·)\)
\(\chi_{ 35 }(22, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 8, ·)\)
\(\chi_{ 35 }(23, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 1, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 2, ·)\)
\(\chi_{ 35 }(29, ·)\) \(\chi_{ 35 } ( 29, ·)\) \(\chi_{ 35 } ( 18, ·)\) \(\chi_{ 35 } ( 23, ·)\) \(\chi_{ 35 } ( 11, ·)\) \(\chi_{ 35 } ( 22, ·)\) \(\chi_{ 35 } ( 16, ·)\) \(\chi_{ 35 } ( 4, ·)\) \(\chi_{ 35 } ( 9, ·)\) \(\chi_{ 35 } ( 32, ·)\) \(\chi_{ 35 } ( 8, ·)\) \(\chi_{ 35 } ( 2, ·)\) \(\chi_{ 35 } ( 1, ·)\)