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Basic properties
| Modulus: | \(460\) | |
| Conductor: | \(92\) |
|
| Order: | \(22\) |
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{92}(67,\cdot)\) |
|
| Minimal: | yes | |
| Parity: | even |
|
Galois orbit 460.q
\(\chi_{460}(11,\cdot)\) \(\chi_{460}(51,\cdot)\) \(\chi_{460}(111,\cdot)\) \(\chi_{460}(171,\cdot)\) \(\chi_{460}(191,\cdot)\) \(\chi_{460}(251,\cdot)\) \(\chi_{460}(291,\cdot)\) \(\chi_{460}(411,\cdot)\) \(\chi_{460}(431,\cdot)\) \(\chi_{460}(451,\cdot)\)
Related number fields
| Field of values: | \(\Q(\zeta_{11})\) |
| Fixed field: | \(\Q(\zeta_{92})^+\) |
Values on generators
\((231,277,281)\) → \((-1,1,e\left(\frac{13}{22}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(7\) | \(9\) | \(11\) | \(13\) | \(17\) | \(19\) | \(21\) | \(27\) | \(29\) |
| \( \chi_{ 460 }(251, a) \) | \(1\) | \(1\) | \(e\left(\frac{21}{22}\right)\) | \(e\left(\frac{8}{11}\right)\) | \(e\left(\frac{10}{11}\right)\) | \(e\left(\frac{9}{11}\right)\) | \(e\left(\frac{3}{11}\right)\) | \(e\left(\frac{3}{22}\right)\) | \(e\left(\frac{4}{11}\right)\) | \(e\left(\frac{15}{22}\right)\) | \(e\left(\frac{19}{22}\right)\) | \(e\left(\frac{7}{11}\right)\) |