Basic properties
| Modulus: | \(2808\) | |
| Conductor: | \(117\) |
|
| Order: | \(3\) |
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{117}(94,\cdot)\) |
|
| Minimal: | no | |
| Parity: | even |
|
Galois orbit 2808.s
\(\chi_{2808}(1153,\cdot)\) \(\chi_{2808}(1225,\cdot)\)
Related number fields
| Field of values: | \(\mathbb{Q}(\zeta_3)\) |
| Fixed field: | 3.3.13689.2 |
Values on generators
\((703,1405,2081,1081)\) → \((1,1,e\left(\frac{1}{3}\right),e\left(\frac{1}{3}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(5\) | \(7\) | \(11\) | \(17\) | \(19\) | \(23\) | \(25\) | \(29\) | \(31\) | \(35\) |
| \( \chi_{ 2808 }(1225, a) \) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |