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

$K$ is the global number field defined by \( x^{6} - 3 x^{5} + 84 x^{4} - 161 x^{3} + 2607 x^{2} - 2706 x + 29699 \)

$\times$ \(\chi_{ 1035 } ( 1, ·)\) \(\chi_{ 1035 } ( 691, ·)\) \(\chi_{ 1035 } ( 229, ·)\) \(\chi_{ 1035 } ( 919, ·)\) \(\chi_{ 1035 } ( 346, ·)\) \(\chi_{ 1035 } ( 574, ·)\)
\(\chi_{ 1035 }(1, ·)\) \(\chi_{ 1035 } ( 1, ·)\) \(\chi_{ 1035 } ( 691, ·)\) \(\chi_{ 1035 } ( 229, ·)\) \(\chi_{ 1035 } ( 919, ·)\) \(\chi_{ 1035 } ( 346, ·)\) \(\chi_{ 1035 } ( 574, ·)\)
\(\chi_{ 1035 }(691, ·)\) \(\chi_{ 1035 } ( 691, ·)\) \(\chi_{ 1035 } ( 346, ·)\) \(\chi_{ 1035 } ( 919, ·)\) \(\chi_{ 1035 } ( 574, ·)\) \(\chi_{ 1035 } ( 1, ·)\) \(\chi_{ 1035 } ( 229, ·)\)
\(\chi_{ 1035 }(229, ·)\) \(\chi_{ 1035 } ( 229, ·)\) \(\chi_{ 1035 } ( 919, ·)\) \(\chi_{ 1035 } ( 691, ·)\) \(\chi_{ 1035 } ( 346, ·)\) \(\chi_{ 1035 } ( 574, ·)\) \(\chi_{ 1035 } ( 1, ·)\)
\(\chi_{ 1035 }(919, ·)\) \(\chi_{ 1035 } ( 919, ·)\) \(\chi_{ 1035 } ( 574, ·)\) \(\chi_{ 1035 } ( 346, ·)\) \(\chi_{ 1035 } ( 1, ·)\) \(\chi_{ 1035 } ( 229, ·)\) \(\chi_{ 1035 } ( 691, ·)\)
\(\chi_{ 1035 }(346, ·)\) \(\chi_{ 1035 } ( 346, ·)\) \(\chi_{ 1035 } ( 1, ·)\) \(\chi_{ 1035 } ( 574, ·)\) \(\chi_{ 1035 } ( 229, ·)\) \(\chi_{ 1035 } ( 691, ·)\) \(\chi_{ 1035 } ( 919, ·)\)
\(\chi_{ 1035 }(574, ·)\) \(\chi_{ 1035 } ( 574, ·)\) \(\chi_{ 1035 } ( 229, ·)\) \(\chi_{ 1035 } ( 1, ·)\) \(\chi_{ 1035 } ( 691, ·)\) \(\chi_{ 1035 } ( 919, ·)\) \(\chi_{ 1035 } ( 346, ·)\)