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
\((377,52)\) → \((-i,e\left(\frac{19}{46}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 799 }(480, a) \) | \(-1\) | \(1\) | \(e\left(\frac{43}{46}\right)\) | \(e\left(\frac{1}{92}\right)\) | \(e\left(\frac{20}{23}\right)\) | \(e\left(\frac{15}{92}\right)\) | \(e\left(\frac{87}{92}\right)\) | \(e\left(\frac{43}{92}\right)\) | \(e\left(\frac{37}{46}\right)\) | \(e\left(\frac{1}{46}\right)\) | \(e\left(\frac{9}{92}\right)\) | \(e\left(\frac{13}{92}\right)\) |