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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 799.o
\(\chi_{799}(4,\cdot)\) \(\chi_{799}(21,\cdot)\) \(\chi_{799}(55,\cdot)\) \(\chi_{799}(64,\cdot)\) \(\chi_{799}(72,\cdot)\) \(\chi_{799}(81,\cdot)\) \(\chi_{799}(89,\cdot)\) \(\chi_{799}(98,\cdot)\) \(\chi_{799}(106,\cdot)\) \(\chi_{799}(115,\cdot)\) \(\chi_{799}(149,\cdot)\) \(\chi_{799}(157,\cdot)\) \(\chi_{799}(166,\cdot)\) \(\chi_{799}(183,\cdot)\) \(\chi_{799}(191,\cdot)\) \(\chi_{799}(200,\cdot)\) \(\chi_{799}(225,\cdot)\) \(\chi_{799}(242,\cdot)\) \(\chi_{799}(251,\cdot)\) \(\chi_{799}(259,\cdot)\) \(\chi_{799}(285,\cdot)\) \(\chi_{799}(310,\cdot)\) \(\chi_{799}(319,\cdot)\) \(\chi_{799}(336,\cdot)\) \(\chi_{799}(353,\cdot)\) \(\chi_{799}(361,\cdot)\) \(\chi_{799}(378,\cdot)\) \(\chi_{799}(404,\cdot)\) \(\chi_{799}(412,\cdot)\) \(\chi_{799}(429,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{92})$ |
| Fixed field: | Number field defined by a degree 92 polynomial |
Values on generators
\((377,52)\) → \((-i,e\left(\frac{18}{23}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 799 }(4, a) \) | \(1\) | \(1\) | \(e\left(\frac{27}{46}\right)\) | \(e\left(\frac{37}{92}\right)\) | \(e\left(\frac{4}{23}\right)\) | \(e\left(\frac{49}{92}\right)\) | \(e\left(\frac{91}{92}\right)\) | \(e\left(\frac{27}{92}\right)\) | \(e\left(\frac{35}{46}\right)\) | \(e\left(\frac{37}{46}\right)\) | \(e\left(\frac{11}{92}\right)\) | \(e\left(\frac{67}{92}\right)\) |