Basic properties
| Modulus: | \(9067\) | |
| Conductor: | \(9067\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(4533\) | 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 9067.g
\(\chi_{9067}(6,\cdot)\) \(\chi_{9067}(9,\cdot)\) \(\chi_{9067}(10,\cdot)\) \(\chi_{9067}(15,\cdot)\) \(\chi_{9067}(21,\cdot)\) \(\chi_{9067}(23,\cdot)\) \(\chi_{9067}(24,\cdot)\) \(\chi_{9067}(25,\cdot)\) \(\chi_{9067}(26,\cdot)\) \(\chi_{9067}(31,\cdot)\) \(\chi_{9067}(33,\cdot)\) \(\chi_{9067}(34,\cdot)\) \(\chi_{9067}(35,\cdot)\) \(\chi_{9067}(36,\cdot)\) \(\chi_{9067}(38,\cdot)\) \(\chi_{9067}(40,\cdot)\) \(\chi_{9067}(47,\cdot)\) \(\chi_{9067}(51,\cdot)\) \(\chi_{9067}(55,\cdot)\) \(\chi_{9067}(57,\cdot)\) \(\chi_{9067}(58,\cdot)\) \(\chi_{9067}(59,\cdot)\) \(\chi_{9067}(60,\cdot)\) \(\chi_{9067}(61,\cdot)\) \(\chi_{9067}(74,\cdot)\) \(\chi_{9067}(79,\cdot)\) \(\chi_{9067}(81,\cdot)\) \(\chi_{9067}(82,\cdot)\) \(\chi_{9067}(83,\cdot)\) \(\chi_{9067}(84,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{4533})$ |
| Fixed field: | Number field defined by a degree 4533 polynomial (not computed) |
Values on generators
\(3\) → \(e\left(\frac{3898}{4533}\right)\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 9067 }(26, a) \) | \(1\) | \(1\) | \(e\left(\frac{849}{1511}\right)\) | \(e\left(\frac{3898}{4533}\right)\) | \(e\left(\frac{187}{1511}\right)\) | \(e\left(\frac{2257}{4533}\right)\) | \(e\left(\frac{1912}{4533}\right)\) | \(e\left(\frac{1225}{1511}\right)\) | \(e\left(\frac{1036}{1511}\right)\) | \(e\left(\frac{3263}{4533}\right)\) | \(e\left(\frac{271}{4533}\right)\) | \(e\left(\frac{627}{1511}\right)\) |