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.bv
\(\chi_{6016}(5,\cdot)\) \(\chi_{6016}(13,\cdot)\) \(\chi_{6016}(29,\cdot)\) \(\chi_{6016}(45,\cdot)\) \(\chi_{6016}(69,\cdot)\) \(\chi_{6016}(77,\cdot)\) \(\chi_{6016}(85,\cdot)\) \(\chi_{6016}(109,\cdot)\) \(\chi_{6016}(117,\cdot)\) \(\chi_{6016}(125,\cdot)\) \(\chi_{6016}(133,\cdot)\) \(\chi_{6016}(181,\cdot)\) \(\chi_{6016}(221,\cdot)\) \(\chi_{6016}(229,\cdot)\) \(\chi_{6016}(245,\cdot)\) \(\chi_{6016}(261,\cdot)\) \(\chi_{6016}(293,\cdot)\) \(\chi_{6016}(301,\cdot)\) \(\chi_{6016}(317,\cdot)\) \(\chi_{6016}(325,\cdot)\) \(\chi_{6016}(349,\cdot)\) \(\chi_{6016}(373,\cdot)\) \(\chi_{6016}(381,\cdot)\) \(\chi_{6016}(389,\cdot)\) \(\chi_{6016}(405,\cdot)\) \(\chi_{6016}(421,\cdot)\) \(\chi_{6016}(445,\cdot)\) \(\chi_{6016}(453,\cdot)\) \(\chi_{6016}(461,\cdot)\) \(\chi_{6016}(485,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{736})$ |
| Fixed field: | Number field defined by a degree 736 polynomial (not computed) |
Values on generators
\((4607,2821,3201)\) → \((1,e\left(\frac{7}{32}\right),e\left(\frac{41}{46}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 6016 }(45, a) \) | \(-1\) | \(1\) | \(e\left(\frac{355}{736}\right)\) | \(e\left(\frac{81}{736}\right)\) | \(e\left(\frac{261}{368}\right)\) | \(e\left(\frac{355}{368}\right)\) | \(e\left(\frac{613}{736}\right)\) | \(e\left(\frac{63}{736}\right)\) | \(e\left(\frac{109}{184}\right)\) | \(e\left(\frac{71}{184}\right)\) | \(e\left(\frac{103}{736}\right)\) | \(e\left(\frac{141}{736}\right)\) |