Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{12} - 33 x^{10} - 140 x^{9} + 1575 x^{8} + 8820 x^{7} - 709 x^{6} - 206640 x^{5} - 346269 x^{4} + \cdots + 71323433 \)
$\times$ | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{ 4284 }(1, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) |
\(\chi_{ 4284 }(1891, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) |
\(\chi_{ 4284 }(2209, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) |
\(\chi_{ 4284 }(1135, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) |
\(\chi_{ 4284 }(3469, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) |
\(\chi_{ 4284 }(2095, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) |
\(\chi_{ 4284 }(3025, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) |
\(\chi_{ 4284 }(205, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) |
\(\chi_{ 4284 }(1075, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) |
\(\chi_{ 4284 }(1339, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) |
\(\chi_{ 4284 }(3229, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) |
\(\chi_{ 4284 }(319, ·)\) | \(\chi_{ 4284 } ( 319, ·)\) | \(\chi_{ 4284 } ( 3469, ·)\) | \(\chi_{ 4284 } ( 2095, ·)\) | \(\chi_{ 4284 } ( 2209, ·)\) | \(\chi_{ 4284 } ( 1339, ·)\) | \(\chi_{ 4284 } ( 1, ·)\) | \(\chi_{ 4284 } ( 1075, ·)\) | \(\chi_{ 4284 } ( 1135, ·)\) | \(\chi_{ 4284 } ( 205, ·)\) | \(\chi_{ 4284 } ( 3025, ·)\) | \(\chi_{ 4284 } ( 1891, ·)\) | \(\chi_{ 4284 } ( 3229, ·)\) |