Basic properties
| Modulus: | \(9025\) | |
| Conductor: | \(9025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(1710\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 9025.cq
\(\chi_{9025}(4,\cdot)\) \(\chi_{9025}(9,\cdot)\) \(\chi_{9025}(44,\cdot)\) \(\chi_{9025}(104,\cdot)\) \(\chi_{9025}(119,\cdot)\) \(\chi_{9025}(139,\cdot)\) \(\chi_{9025}(169,\cdot)\) \(\chi_{9025}(194,\cdot)\) \(\chi_{9025}(214,\cdot)\) \(\chi_{9025}(244,\cdot)\) \(\chi_{9025}(264,\cdot)\) \(\chi_{9025}(289,\cdot)\) \(\chi_{9025}(294,\cdot)\) \(\chi_{9025}(309,\cdot)\) \(\chi_{9025}(329,\cdot)\) \(\chi_{9025}(339,\cdot)\) \(\chi_{9025}(359,\cdot)\) \(\chi_{9025}(384,\cdot)\) \(\chi_{9025}(404,\cdot)\) \(\chi_{9025}(434,\cdot)\) \(\chi_{9025}(454,\cdot)\) \(\chi_{9025}(479,\cdot)\) \(\chi_{9025}(484,\cdot)\) \(\chi_{9025}(519,\cdot)\) \(\chi_{9025}(529,\cdot)\) \(\chi_{9025}(579,\cdot)\) \(\chi_{9025}(594,\cdot)\) \(\chi_{9025}(614,\cdot)\) \(\chi_{9025}(644,\cdot)\) \(\chi_{9025}(669,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{855})$ |
| Fixed field: | Number field defined by a degree 1710 polynomial (not computed) |
Values on generators
\((5777,3251)\) → \((e\left(\frac{1}{10}\right),e\left(\frac{1}{171}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
| \( \chi_{ 9025 }(4, a) \) | \(1\) | \(1\) | \(e\left(\frac{181}{1710}\right)\) | \(e\left(\frac{877}{1710}\right)\) | \(e\left(\frac{181}{855}\right)\) | \(e\left(\frac{529}{855}\right)\) | \(e\left(\frac{43}{114}\right)\) | \(e\left(\frac{181}{570}\right)\) | \(e\left(\frac{22}{855}\right)\) | \(e\left(\frac{56}{285}\right)\) | \(e\left(\frac{413}{570}\right)\) | \(e\left(\frac{1409}{1710}\right)\) |