Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{6} - x^{5} - 224x^{4} + 149x^{3} + 16065x^{2} - 5476x - 367921 \)
| $\times$ | \(\chi_{ 2051 } ( 1, ·)\) | \(\chi_{ 2051 } ( 1171, ·)\) | \(\chi_{ 2051 } ( 1173, ·)\) | \(\chi_{ 2051 } ( 1464, ·)\) | \(\chi_{ 2051 } ( 585, ·)\) | \(\chi_{ 2051 } ( 1759, ·)\) |
|---|---|---|---|---|---|---|
| \(\chi_{ 2051 }(1, ·)\) | \(\chi_{ 2051 } ( 1, ·)\) | \(\chi_{ 2051 } ( 1171, ·)\) | \(\chi_{ 2051 } ( 1173, ·)\) | \(\chi_{ 2051 } ( 1464, ·)\) | \(\chi_{ 2051 } ( 585, ·)\) | \(\chi_{ 2051 } ( 1759, ·)\) |
| \(\chi_{ 2051 }(1171, ·)\) | \(\chi_{ 2051 } ( 1171, ·)\) | \(\chi_{ 2051 } ( 1173, ·)\) | \(\chi_{ 2051 } ( 1464, ·)\) | \(\chi_{ 2051 } ( 1759, ·)\) | \(\chi_{ 2051 } ( 1, ·)\) | \(\chi_{ 2051 } ( 585, ·)\) |
| \(\chi_{ 2051 }(1173, ·)\) | \(\chi_{ 2051 } ( 1173, ·)\) | \(\chi_{ 2051 } ( 1464, ·)\) | \(\chi_{ 2051 } ( 1759, ·)\) | \(\chi_{ 2051 } ( 585, ·)\) | \(\chi_{ 2051 } ( 1171, ·)\) | \(\chi_{ 2051 } ( 1, ·)\) |
| \(\chi_{ 2051 }(1464, ·)\) | \(\chi_{ 2051 } ( 1464, ·)\) | \(\chi_{ 2051 } ( 1759, ·)\) | \(\chi_{ 2051 } ( 585, ·)\) | \(\chi_{ 2051 } ( 1, ·)\) | \(\chi_{ 2051 } ( 1173, ·)\) | \(\chi_{ 2051 } ( 1171, ·)\) |
| \(\chi_{ 2051 }(585, ·)\) | \(\chi_{ 2051 } ( 585, ·)\) | \(\chi_{ 2051 } ( 1, ·)\) | \(\chi_{ 2051 } ( 1171, ·)\) | \(\chi_{ 2051 } ( 1173, ·)\) | \(\chi_{ 2051 } ( 1759, ·)\) | \(\chi_{ 2051 } ( 1464, ·)\) |
| \(\chi_{ 2051 }(1759, ·)\) | \(\chi_{ 2051 } ( 1759, ·)\) | \(\chi_{ 2051 } ( 585, ·)\) | \(\chi_{ 2051 } ( 1, ·)\) | \(\chi_{ 2051 } ( 1171, ·)\) | \(\chi_{ 2051 } ( 1464, ·)\) | \(\chi_{ 2051 } ( 1173, ·)\) |