Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{4} - x^{3} + 26x^{2} - 26x + 151 \)
| $\times$ | \(\chi_{ 105 } ( 1, ·)\) | \(\chi_{ 105 } ( 64, ·)\) | \(\chi_{ 105 } ( 83, ·)\) | \(\chi_{ 105 } ( 62, ·)\) |
|---|---|---|---|---|
| \(\chi_{ 105 }(1, ·)\) | \(\chi_{ 105 } ( 1, ·)\) | \(\chi_{ 105 } ( 64, ·)\) | \(\chi_{ 105 } ( 83, ·)\) | \(\chi_{ 105 } ( 62, ·)\) |
| \(\chi_{ 105 }(64, ·)\) | \(\chi_{ 105 } ( 64, ·)\) | \(\chi_{ 105 } ( 1, ·)\) | \(\chi_{ 105 } ( 62, ·)\) | \(\chi_{ 105 } ( 83, ·)\) |
| \(\chi_{ 105 }(83, ·)\) | \(\chi_{ 105 } ( 83, ·)\) | \(\chi_{ 105 } ( 62, ·)\) | \(\chi_{ 105 } ( 64, ·)\) | \(\chi_{ 105 } ( 1, ·)\) |
| \(\chi_{ 105 }(62, ·)\) | \(\chi_{ 105 } ( 62, ·)\) | \(\chi_{ 105 } ( 83, ·)\) | \(\chi_{ 105 } ( 1, ·)\) | \(\chi_{ 105 } ( 64, ·)\) |