Basic properties
Modulus: | \(799\) | |
Conductor: | \(799\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(184\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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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.r
\(\chi_{799}(2,\cdot)\) \(\chi_{799}(8,\cdot)\) \(\chi_{799}(9,\cdot)\) \(\chi_{799}(25,\cdot)\) \(\chi_{799}(32,\cdot)\) \(\chi_{799}(36,\cdot)\) \(\chi_{799}(42,\cdot)\) \(\chi_{799}(49,\cdot)\) \(\chi_{799}(53,\cdot)\) \(\chi_{799}(59,\cdot)\) \(\chi_{799}(83,\cdot)\) \(\chi_{799}(100,\cdot)\) \(\chi_{799}(110,\cdot)\) \(\chi_{799}(111,\cdot)\) \(\chi_{799}(121,\cdot)\) \(\chi_{799}(128,\cdot)\) \(\chi_{799}(144,\cdot)\) \(\chi_{799}(145,\cdot)\) \(\chi_{799}(155,\cdot)\) \(\chi_{799}(162,\cdot)\) \(\chi_{799}(168,\cdot)\) \(\chi_{799}(178,\cdot)\) \(\chi_{799}(195,\cdot)\) \(\chi_{799}(196,\cdot)\) \(\chi_{799}(202,\cdot)\) \(\chi_{799}(206,\cdot)\) \(\chi_{799}(212,\cdot)\) \(\chi_{799}(213,\cdot)\) \(\chi_{799}(230,\cdot)\) \(\chi_{799}(247,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{184})$ |
Fixed field: | Number field defined by a degree 184 polynomial (not computed) |
Values on generators
\((377,52)\) → \((e\left(\frac{7}{8}\right),e\left(\frac{6}{23}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 799 }(206, a) \) | \(1\) | \(1\) | \(e\left(\frac{87}{92}\right)\) | \(e\left(\frac{17}{184}\right)\) | \(e\left(\frac{41}{46}\right)\) | \(e\left(\frac{117}{184}\right)\) | \(e\left(\frac{7}{184}\right)\) | \(e\left(\frac{179}{184}\right)\) | \(e\left(\frac{77}{92}\right)\) | \(e\left(\frac{17}{92}\right)\) | \(e\left(\frac{107}{184}\right)\) | \(e\left(\frac{175}{184}\right)\) |