Basic properties
| Modulus: | \(2541\) | |
| Conductor: | \(21\) |
|
| Order: | \(6\) |
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{21}(11,\cdot)\) |
|
| Minimal: | yes | |
| Parity: | odd |
|
Galois orbit 2541.q
\(\chi_{2541}(485,\cdot)\) \(\chi_{2541}(2300,\cdot)\)
Related number fields
| Field of values: | \(\mathbb{Q}(\zeta_3)\) |
| Fixed field: | 6.0.64827.1 |
Values on generators
\((848,1816,2059)\) → \((-1,e\left(\frac{2}{3}\right),1)\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(13\) | \(16\) | \(17\) | \(19\) | \(20\) |
| \( \chi_{ 2541 }(2300, a) \) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |