Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$
$K$ is the global number field defined by
\( x^{18} - 12691x^{9} + 40353607 \)
| $\times$ | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 127, ·)\) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| \(\chi_{ 189 }(1, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 127, ·)\) |
| \(\chi_{ 189 }(128, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 2, ·)\) |
| \(\chi_{ 189 }(2, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 65, ·)\) |
| \(\chi_{ 189 }(67, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 4, ·)\) |
| \(\chi_{ 189 }(4, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 130, ·)\) |
| \(\chi_{ 189 }(134, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 8, ·)\) |
| \(\chi_{ 189 }(71, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 134, ·)\) |
| \(\chi_{ 189 }(8, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 71, ·)\) |
| \(\chi_{ 189 }(130, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 67, ·)\) |
| \(\chi_{ 189 }(142, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 79, ·)\) |
| \(\chi_{ 189 }(79, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 16, ·)\) |
| \(\chi_{ 189 }(16, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 142, ·)\) |
| \(\chi_{ 189 }(158, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 32, ·)\) |
| \(\chi_{ 189 }(95, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 158, ·)\) |
| \(\chi_{ 189 }(32, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 95, ·)\) |
| \(\chi_{ 189 }(65, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 128, ·)\) |
| \(\chi_{ 189 }(64, ·)\) | \(\chi_{ 189 } ( 64, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 1, ·)\) |
| \(\chi_{ 189 }(127, ·)\) | \(\chi_{ 189 } ( 127, ·)\) | \(\chi_{ 189 } ( 2, ·)\) | \(\chi_{ 189 } ( 65, ·)\) | \(\chi_{ 189 } ( 4, ·)\) | \(\chi_{ 189 } ( 130, ·)\) | \(\chi_{ 189 } ( 8, ·)\) | \(\chi_{ 189 } ( 134, ·)\) | \(\chi_{ 189 } ( 71, ·)\) | \(\chi_{ 189 } ( 67, ·)\) | \(\chi_{ 189 } ( 79, ·)\) | \(\chi_{ 189 } ( 16, ·)\) | \(\chi_{ 189 } ( 142, ·)\) | \(\chi_{ 189 } ( 32, ·)\) | \(\chi_{ 189 } ( 158, ·)\) | \(\chi_{ 189 } ( 95, ·)\) | \(\chi_{ 189 } ( 128, ·)\) | \(\chi_{ 189 } ( 1, ·)\) | \(\chi_{ 189 } ( 64, ·)\) |