Basic properties
| Modulus: | \(6016\) | |
| Conductor: | \(6016\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(736\) | 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 6016.bt
\(\chi_{6016}(3,\cdot)\) \(\chi_{6016}(27,\cdot)\) \(\chi_{6016}(51,\cdot)\) \(\chi_{6016}(59,\cdot)\) \(\chi_{6016}(75,\cdot)\) \(\chi_{6016}(83,\cdot)\) \(\chi_{6016}(115,\cdot)\) \(\chi_{6016}(131,\cdot)\) \(\chi_{6016}(147,\cdot)\) \(\chi_{6016}(155,\cdot)\) \(\chi_{6016}(195,\cdot)\) \(\chi_{6016}(243,\cdot)\) \(\chi_{6016}(251,\cdot)\) \(\chi_{6016}(259,\cdot)\) \(\chi_{6016}(267,\cdot)\) \(\chi_{6016}(291,\cdot)\) \(\chi_{6016}(299,\cdot)\) \(\chi_{6016}(307,\cdot)\) \(\chi_{6016}(331,\cdot)\) \(\chi_{6016}(347,\cdot)\) \(\chi_{6016}(363,\cdot)\) \(\chi_{6016}(371,\cdot)\) \(\chi_{6016}(379,\cdot)\) \(\chi_{6016}(403,\cdot)\) \(\chi_{6016}(427,\cdot)\) \(\chi_{6016}(435,\cdot)\) \(\chi_{6016}(451,\cdot)\) \(\chi_{6016}(459,\cdot)\) \(\chi_{6016}(491,\cdot)\) \(\chi_{6016}(507,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{736})$ |
| Fixed field: | Number field defined by a degree 736 polynomial (not computed) |
Values on generators
\((4607,2821,3201)\) → \((-1,e\left(\frac{17}{32}\right),e\left(\frac{5}{23}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 6016 }(59, a) \) | \(-1\) | \(1\) | \(e\left(\frac{325}{736}\right)\) | \(e\left(\frac{551}{736}\right)\) | \(e\left(\frac{283}{368}\right)\) | \(e\left(\frac{325}{368}\right)\) | \(e\left(\frac{131}{736}\right)\) | \(e\left(\frac{265}{736}\right)\) | \(e\left(\frac{35}{184}\right)\) | \(e\left(\frac{65}{184}\right)\) | \(e\left(\frac{369}{736}\right)\) | \(e\left(\frac{155}{736}\right)\) |