Basic properties
Modulus: | \(1008\) | |
Conductor: | \(504\) |
|
Order: | \(6\) |
|
Real: | no | |
Primitive: | no, induced from 504.u |
|
Minimal: | no | |
Parity: | odd |
|
Related number fields
Field of values: | \(\mathbb{Q}(\zeta_3)\) |
Fixed field: | 6.0.169375836672.1 |
Characters in Galois orbit
Character | \(-1\) | \(1\) | \(5\) | \(11\) | \(13\) | \(17\) | \(19\) | \(23\) | \(25\) | \(29\) | \(31\) | \(37\) |
---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\chi_{1008}(311,\cdot)\) | \(-1\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
\(\chi_{1008}(551,\cdot)\) | \(-1\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |