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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6016.bs
\(\chi_{6016}(11,\cdot)\) \(\chi_{6016}(19,\cdot)\) \(\chi_{6016}(35,\cdot)\) \(\chi_{6016}(43,\cdot)\) \(\chi_{6016}(67,\cdot)\) \(\chi_{6016}(91,\cdot)\) \(\chi_{6016}(99,\cdot)\) \(\chi_{6016}(107,\cdot)\) \(\chi_{6016}(123,\cdot)\) \(\chi_{6016}(139,\cdot)\) \(\chi_{6016}(163,\cdot)\) \(\chi_{6016}(171,\cdot)\) \(\chi_{6016}(179,\cdot)\) \(\chi_{6016}(203,\cdot)\) \(\chi_{6016}(211,\cdot)\) \(\chi_{6016}(219,\cdot)\) \(\chi_{6016}(227,\cdot)\) \(\chi_{6016}(275,\cdot)\) \(\chi_{6016}(315,\cdot)\) \(\chi_{6016}(323,\cdot)\) \(\chi_{6016}(339,\cdot)\) \(\chi_{6016}(355,\cdot)\) \(\chi_{6016}(387,\cdot)\) \(\chi_{6016}(395,\cdot)\) \(\chi_{6016}(411,\cdot)\) \(\chi_{6016}(419,\cdot)\) \(\chi_{6016}(443,\cdot)\) \(\chi_{6016}(467,\cdot)\) \(\chi_{6016}(475,\cdot)\) \(\chi_{6016}(483,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{736})$ |
| Fixed field: | Number field defined by a degree 736 polynomial (not computed) |
Values on generators
\((4607,2821,3201)\) → \((-1,e\left(\frac{29}{32}\right),e\left(\frac{13}{46}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 6016 }(43, a) \) | \(1\) | \(1\) | \(e\left(\frac{641}{736}\right)\) | \(e\left(\frac{139}{736}\right)\) | \(e\left(\frac{223}{368}\right)\) | \(e\left(\frac{273}{368}\right)\) | \(e\left(\frac{375}{736}\right)\) | \(e\left(\frac{517}{736}\right)\) | \(e\left(\frac{11}{184}\right)\) | \(e\left(\frac{165}{184}\right)\) | \(e\left(\frac{45}{736}\right)\) | \(e\left(\frac{351}{736}\right)\) |