Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{11} - x^{10} - 10 x^{9} + 9 x^{8} + 36 x^{7} - 28 x^{6} - 56 x^{5} + 35 x^{4} + 35 x^{3} - 15 x^{2} - 6 x + 1 \)
$\times$ | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 18, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 23 }(1, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 18, ·)\) |
\(\chi_{ 23 }(2, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 13, ·)\) |
\(\chi_{ 23 }(3, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 8, ·)\) |
\(\chi_{ 23 }(4, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 3, ·)\) |
\(\chi_{ 23 }(6, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 16, ·)\) |
\(\chi_{ 23 }(8, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 6, ·)\) |
\(\chi_{ 23 }(9, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 1, ·)\) |
\(\chi_{ 23 }(12, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 9, ·)\) |
\(\chi_{ 23 }(13, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 4, ·)\) |
\(\chi_{ 23 }(16, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 2, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 12, ·)\) |
\(\chi_{ 23 }(18, ·)\) | \(\chi_{ 23 } ( 18, ·)\) | \(\chi_{ 23 } ( 13, ·)\) | \(\chi_{ 23 } ( 8, ·)\) | \(\chi_{ 23 } ( 3, ·)\) | \(\chi_{ 23 } ( 16, ·)\) | \(\chi_{ 23 } ( 6, ·)\) | \(\chi_{ 23 } ( 1, ·)\) | \(\chi_{ 23 } ( 9, ·)\) | \(\chi_{ 23 } ( 4, ·)\) | \(\chi_{ 23 } ( 12, ·)\) | \(\chi_{ 23 } ( 2, ·)\) |