Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{12} + 714x^{10} + 197064x^{8} + 26655048x^{6} + 1835265600x^{4} + 59903069184x^{2} + 718836830208 \)
$\times$ | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 2856 }(1, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) |
\(\chi_{ 2856 }(2435, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) |
\(\chi_{ 2856 }(1633, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) |
\(\chi_{ 2856 }(1801, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) |
\(\chi_{ 2856 }(395, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) |
\(\chi_{ 2856 }(2209, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) |
\(\chi_{ 2856 }(1067, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) |
\(\chi_{ 2856 }(1475, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) |
\(\chi_{ 2856 }(169, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) |
\(\chi_{ 2856 }(2041, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) |
\(\chi_{ 2856 }(251, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) |
\(\chi_{ 2856 }(803, ·)\) | \(\chi_{ 2856 } ( 803, ·)\) | \(\chi_{ 2856 } ( 1801, ·)\) | \(\chi_{ 2856 } ( 395, ·)\) | \(\chi_{ 2856 } ( 1067, ·)\) | \(\chi_{ 2856 } ( 169, ·)\) | \(\chi_{ 2856 } ( 251, ·)\) | \(\chi_{ 2856 } ( 1, ·)\) | \(\chi_{ 2856 } ( 2041, ·)\) | \(\chi_{ 2856 } ( 1475, ·)\) | \(\chi_{ 2856 } ( 2435, ·)\) | \(\chi_{ 2856 } ( 1633, ·)\) | \(\chi_{ 2856 } ( 2209, ·)\) |