Basic properties
| Modulus: | \(33957\) | |
| Conductor: | \(11\) |
|
| Order: | \(10\) |
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{11}(7,\cdot)\) |
|
| Minimal: | yes | |
| Parity: | odd |
|
Galois orbit 33957.bu
\(\chi_{33957}(3088,\cdot)\) \(\chi_{33957}(12349,\cdot)\) \(\chi_{33957}(21610,\cdot)\) \(\chi_{33957}(24697,\cdot)\)
Related number fields
| Field of values: | \(\Q(\zeta_{5})\) |
| Fixed field: | \(\Q(\zeta_{11})\) |
Values on generators
\((18866,14752,24697)\) → \((1,1,e\left(\frac{7}{10}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(13\) | \(16\) | \(17\) | \(19\) | \(20\) |
| \( \chi_{ 33957 }(12349, a) \) | \(-1\) | \(1\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{3}{10}\right)\) | \(e\left(\frac{1}{10}\right)\) | \(e\left(\frac{1}{5}\right)\) |