Basic properties
| Modulus: | \(4763\) | |
| Conductor: | \(4763\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(1080\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4763.cy
\(\chi_{4763}(6,\cdot)\) \(\chi_{4763}(13,\cdot)\) \(\chi_{4763}(18,\cdot)\) \(\chi_{4763}(24,\cdot)\) \(\chi_{4763}(39,\cdot)\) \(\chi_{4763}(52,\cdot)\) \(\chi_{4763}(72,\cdot)\) \(\chi_{4763}(95,\cdot)\) \(\chi_{4763}(96,\cdot)\) \(\chi_{4763}(105,\cdot)\) \(\chi_{4763}(118,\cdot)\) \(\chi_{4763}(145,\cdot)\) \(\chi_{4763}(156,\cdot)\) \(\chi_{4763}(162,\cdot)\) \(\chi_{4763}(215,\cdot)\) \(\chi_{4763}(237,\cdot)\) \(\chi_{4763}(271,\cdot)\) \(\chi_{4763}(277,\cdot)\) \(\chi_{4763}(288,\cdot)\) \(\chi_{4763}(315,\cdot)\) \(\chi_{4763}(337,\cdot)\) \(\chi_{4763}(338,\cdot)\) \(\chi_{4763}(380,\cdot)\) \(\chi_{4763}(381,\cdot)\) \(\chi_{4763}(409,\cdot)\) \(\chi_{4763}(415,\cdot)\) \(\chi_{4763}(420,\cdot)\) \(\chi_{4763}(446,\cdot)\) \(\chi_{4763}(457,\cdot)\) \(\chi_{4763}(458,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{1080})$ |
| Fixed field: | Number field defined by a degree 1080 polynomial (not computed) |
Values on generators
\((1300,4335)\) → \((e\left(\frac{1}{10}\right),e\left(\frac{185}{216}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
| \( \chi_{ 4763 }(1091, a) \) | \(-1\) | \(1\) | \(e\left(\frac{163}{180}\right)\) | \(e\left(\frac{53}{135}\right)\) | \(e\left(\frac{73}{90}\right)\) | \(e\left(\frac{277}{1080}\right)\) | \(e\left(\frac{161}{540}\right)\) | \(e\left(\frac{341}{1080}\right)\) | \(e\left(\frac{43}{60}\right)\) | \(e\left(\frac{106}{135}\right)\) | \(e\left(\frac{35}{216}\right)\) | \(e\left(\frac{11}{54}\right)\) |