Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by \( x^{2} - x - 475 \)

$\times$ \(\chi_{ 1901 } ( 1, ·)\) \(\chi_{ 1901 } ( 1900, ·)\)
\(\chi_{ 1901 }(1, ·)\) \(\chi_{ 1901 } ( 1, ·)\) \(\chi_{ 1901 } ( 1900, ·)\)
\(\chi_{ 1901 }(1900, ·)\) \(\chi_{ 1901 } ( 1900, ·)\) \(\chi_{ 1901 } ( 1, ·)\)