Basic properties
| Modulus: | \(799\) | |
| Conductor: | \(799\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(92\) | 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 799.p
\(\chi_{799}(13,\cdot)\) \(\chi_{799}(30,\cdot)\) \(\chi_{799}(38,\cdot)\) \(\chi_{799}(123,\cdot)\) \(\chi_{799}(132,\cdot)\) \(\chi_{799}(174,\cdot)\) \(\chi_{799}(208,\cdot)\) \(\chi_{799}(217,\cdot)\) \(\chi_{799}(268,\cdot)\) \(\chi_{799}(276,\cdot)\) \(\chi_{799}(293,\cdot)\) \(\chi_{799}(302,\cdot)\) \(\chi_{799}(327,\cdot)\) \(\chi_{799}(344,\cdot)\) \(\chi_{799}(370,\cdot)\) \(\chi_{799}(387,\cdot)\) \(\chi_{799}(395,\cdot)\) \(\chi_{799}(421,\cdot)\) \(\chi_{799}(438,\cdot)\) \(\chi_{799}(446,\cdot)\) \(\chi_{799}(463,\cdot)\) \(\chi_{799}(480,\cdot)\) \(\chi_{799}(489,\cdot)\) \(\chi_{799}(514,\cdot)\) \(\chi_{799}(540,\cdot)\) \(\chi_{799}(548,\cdot)\) \(\chi_{799}(557,\cdot)\) \(\chi_{799}(574,\cdot)\) \(\chi_{799}(599,\cdot)\) \(\chi_{799}(608,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{92})$ |
| Fixed field: | Number field defined by a degree 92 polynomial |
Values on generators
\((377,52)\) → \((i,e\left(\frac{21}{46}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 799 }(438, a) \) | \(-1\) | \(1\) | \(e\left(\frac{33}{46}\right)\) | \(e\left(\frac{35}{92}\right)\) | \(e\left(\frac{10}{23}\right)\) | \(e\left(\frac{65}{92}\right)\) | \(e\left(\frac{9}{92}\right)\) | \(e\left(\frac{33}{92}\right)\) | \(e\left(\frac{7}{46}\right)\) | \(e\left(\frac{35}{46}\right)\) | \(e\left(\frac{39}{92}\right)\) | \(e\left(\frac{87}{92}\right)\) |