Basic properties
| Modulus: | \(9067\) | |
| Conductor: | \(9067\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(1511\) | 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.e
\(\chi_{9067}(4,\cdot)\) \(\chi_{9067}(14,\cdot)\) \(\chi_{9067}(16,\cdot)\) \(\chi_{9067}(22,\cdot)\) \(\chi_{9067}(39,\cdot)\) \(\chi_{9067}(43,\cdot)\) \(\chi_{9067}(49,\cdot)\) \(\chi_{9067}(53,\cdot)\) \(\chi_{9067}(54,\cdot)\) \(\chi_{9067}(56,\cdot)\) \(\chi_{9067}(64,\cdot)\) \(\chi_{9067}(65,\cdot)\) \(\chi_{9067}(77,\cdot)\) \(\chi_{9067}(88,\cdot)\) \(\chi_{9067}(90,\cdot)\) \(\chi_{9067}(109,\cdot)\) \(\chi_{9067}(111,\cdot)\) \(\chi_{9067}(121,\cdot)\) \(\chi_{9067}(138,\cdot)\) \(\chi_{9067}(139,\cdot)\) \(\chi_{9067}(150,\cdot)\) \(\chi_{9067}(156,\cdot)\) \(\chi_{9067}(172,\cdot)\) \(\chi_{9067}(185,\cdot)\) \(\chi_{9067}(189,\cdot)\) \(\chi_{9067}(194,\cdot)\) \(\chi_{9067}(196,\cdot)\) \(\chi_{9067}(201,\cdot)\) \(\chi_{9067}(212,\cdot)\) \(\chi_{9067}(216,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{1511})$ |
| Fixed field: | Number field defined by a degree 1511 polynomial (not computed) |
Values on generators
\(3\) → \(e\left(\frac{134}{1511}\right)\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 9067 }(14, a) \) | \(1\) | \(1\) | \(e\left(\frac{1290}{1511}\right)\) | \(e\left(\frac{134}{1511}\right)\) | \(e\left(\frac{1069}{1511}\right)\) | \(e\left(\frac{328}{1511}\right)\) | \(e\left(\frac{1424}{1511}\right)\) | \(e\left(\frac{676}{1511}\right)\) | \(e\left(\frac{848}{1511}\right)\) | \(e\left(\frac{268}{1511}\right)\) | \(e\left(\frac{107}{1511}\right)\) | \(e\left(\frac{29}{1511}\right)\) |