Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by x%5E7 - 21*x%5E5 - 21*x%5E4 %2B 91*x%5E3 %2B 112*x%5E2 - 84*x - 97
| $\times$ | \(\chi_{ 49 } ( 1, ·)\) | \(\chi_{ 49 } ( 36, ·)\) | \(\chi_{ 49 } ( 22, ·)\) | \(\chi_{ 49 } ( 8, ·)\) | \(\chi_{ 49 } ( 43, ·)\) | \(\chi_{ 49 } ( 29, ·)\) | \(\chi_{ 49 } ( 15, ·)\) |
|---|---|---|---|---|---|---|---|
| \(\chi_{ 49 }(1, ·)\) | \(\chi_{ 49 } ( 1, ·)\) | \(\chi_{ 49 } ( 36, ·)\) | \(\chi_{ 49 } ( 22, ·)\) | \(\chi_{ 49 } ( 8, ·)\) | \(\chi_{ 49 } ( 43, ·)\) | \(\chi_{ 49 } ( 29, ·)\) | \(\chi_{ 49 } ( 15, ·)\) |
| \(\chi_{ 49 }(36, ·)\) | \(\chi_{ 49 } ( 36, ·)\) | \(\chi_{ 49 } ( 22, ·)\) | \(\chi_{ 49 } ( 8, ·)\) | \(\chi_{ 49 } ( 43, ·)\) | \(\chi_{ 49 } ( 29, ·)\) | \(\chi_{ 49 } ( 15, ·)\) | \(\chi_{ 49 } ( 1, ·)\) |
| \(\chi_{ 49 }(22, ·)\) | \(\chi_{ 49 } ( 22, ·)\) | \(\chi_{ 49 } ( 8, ·)\) | \(\chi_{ 49 } ( 43, ·)\) | \(\chi_{ 49 } ( 29, ·)\) | \(\chi_{ 49 } ( 15, ·)\) | \(\chi_{ 49 } ( 1, ·)\) | \(\chi_{ 49 } ( 36, ·)\) |
| \(\chi_{ 49 }(8, ·)\) | \(\chi_{ 49 } ( 8, ·)\) | \(\chi_{ 49 } ( 43, ·)\) | \(\chi_{ 49 } ( 29, ·)\) | \(\chi_{ 49 } ( 15, ·)\) | \(\chi_{ 49 } ( 1, ·)\) | \(\chi_{ 49 } ( 36, ·)\) | \(\chi_{ 49 } ( 22, ·)\) |
| \(\chi_{ 49 }(43, ·)\) | \(\chi_{ 49 } ( 43, ·)\) | \(\chi_{ 49 } ( 29, ·)\) | \(\chi_{ 49 } ( 15, ·)\) | \(\chi_{ 49 } ( 1, ·)\) | \(\chi_{ 49 } ( 36, ·)\) | \(\chi_{ 49 } ( 22, ·)\) | \(\chi_{ 49 } ( 8, ·)\) |
| \(\chi_{ 49 }(29, ·)\) | \(\chi_{ 49 } ( 29, ·)\) | \(\chi_{ 49 } ( 15, ·)\) | \(\chi_{ 49 } ( 1, ·)\) | \(\chi_{ 49 } ( 36, ·)\) | \(\chi_{ 49 } ( 22, ·)\) | \(\chi_{ 49 } ( 8, ·)\) | \(\chi_{ 49 } ( 43, ·)\) |
| \(\chi_{ 49 }(15, ·)\) | \(\chi_{ 49 } ( 15, ·)\) | \(\chi_{ 49 } ( 1, ·)\) | \(\chi_{ 49 } ( 36, ·)\) | \(\chi_{ 49 } ( 22, ·)\) | \(\chi_{ 49 } ( 8, ·)\) | \(\chi_{ 49 } ( 43, ·)\) | \(\chi_{ 49 } ( 29, ·)\) |