Basic properties
| Modulus: | \(6016\) | |
| Conductor: | \(1504\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(184\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{1504}(1365,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | no | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6016.bm
\(\chi_{6016}(17,\cdot)\) \(\chi_{6016}(49,\cdot)\) \(\chi_{6016}(81,\cdot)\) \(\chi_{6016}(145,\cdot)\) \(\chi_{6016}(177,\cdot)\) \(\chi_{6016}(209,\cdot)\) \(\chi_{6016}(241,\cdot)\) \(\chi_{6016}(337,\cdot)\) \(\chi_{6016}(401,\cdot)\) \(\chi_{6016}(465,\cdot)\) \(\chi_{6016}(497,\cdot)\) \(\chi_{6016}(529,\cdot)\) \(\chi_{6016}(625,\cdot)\) \(\chi_{6016}(721,\cdot)\) \(\chi_{6016}(817,\cdot)\) \(\chi_{6016}(849,\cdot)\) \(\chi_{6016}(977,\cdot)\) \(\chi_{6016}(1041,\cdot)\) \(\chi_{6016}(1105,\cdot)\) \(\chi_{6016}(1137,\cdot)\) \(\chi_{6016}(1297,\cdot)\) \(\chi_{6016}(1489,\cdot)\) \(\chi_{6016}(1521,\cdot)\) \(\chi_{6016}(1553,\cdot)\) \(\chi_{6016}(1585,\cdot)\) \(\chi_{6016}(1649,\cdot)\) \(\chi_{6016}(1681,\cdot)\) \(\chi_{6016}(1713,\cdot)\) \(\chi_{6016}(1745,\cdot)\) \(\chi_{6016}(1841,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{184})$ |
| Fixed field: | Number field defined by a degree 184 polynomial (not computed) |
Values on generators
\((4607,2821,3201)\) → \((1,e\left(\frac{5}{8}\right),e\left(\frac{9}{23}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 6016 }(49, a) \) | \(1\) | \(1\) | \(e\left(\frac{129}{184}\right)\) | \(e\left(\frac{3}{184}\right)\) | \(e\left(\frac{71}{92}\right)\) | \(e\left(\frac{37}{92}\right)\) | \(e\left(\frac{159}{184}\right)\) | \(e\left(\frac{125}{184}\right)\) | \(e\left(\frac{33}{46}\right)\) | \(e\left(\frac{35}{46}\right)\) | \(e\left(\frac{181}{184}\right)\) | \(e\left(\frac{87}{184}\right)\) |