Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by \( x^{4} + 143x^{2} + 5476 \)
$\times$ | \(\chi_{ 1455 } ( 1, ·)\) | \(\chi_{ 1455 } ( 874, ·)\) | \(\chi_{ 1455 } ( 581, ·)\) | \(\chi_{ 1455 } ( 1454, ·)\) |
---|---|---|---|---|
\(\chi_{ 1455 }(1, ·)\) | \(\chi_{ 1455 } ( 1, ·)\) | \(\chi_{ 1455 } ( 874, ·)\) | \(\chi_{ 1455 } ( 581, ·)\) | \(\chi_{ 1455 } ( 1454, ·)\) |
\(\chi_{ 1455 }(874, ·)\) | \(\chi_{ 1455 } ( 874, ·)\) | \(\chi_{ 1455 } ( 1, ·)\) | \(\chi_{ 1455 } ( 1454, ·)\) | \(\chi_{ 1455 } ( 581, ·)\) |
\(\chi_{ 1455 }(581, ·)\) | \(\chi_{ 1455 } ( 581, ·)\) | \(\chi_{ 1455 } ( 1454, ·)\) | \(\chi_{ 1455 } ( 1, ·)\) | \(\chi_{ 1455 } ( 874, ·)\) |
\(\chi_{ 1455 }(1454, ·)\) | \(\chi_{ 1455 } ( 1454, ·)\) | \(\chi_{ 1455 } ( 581, ·)\) | \(\chi_{ 1455 } ( 874, ·)\) | \(\chi_{ 1455 } ( 1, ·)\) |