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.bu
\(\chi_{6016}(21,\cdot)\) \(\chi_{6016}(37,\cdot)\) \(\chi_{6016}(53,\cdot)\) \(\chi_{6016}(61,\cdot)\) \(\chi_{6016}(101,\cdot)\) \(\chi_{6016}(149,\cdot)\) \(\chi_{6016}(157,\cdot)\) \(\chi_{6016}(165,\cdot)\) \(\chi_{6016}(173,\cdot)\) \(\chi_{6016}(197,\cdot)\) \(\chi_{6016}(205,\cdot)\) \(\chi_{6016}(213,\cdot)\) \(\chi_{6016}(237,\cdot)\) \(\chi_{6016}(253,\cdot)\) \(\chi_{6016}(269,\cdot)\) \(\chi_{6016}(277,\cdot)\) \(\chi_{6016}(285,\cdot)\) \(\chi_{6016}(309,\cdot)\) \(\chi_{6016}(333,\cdot)\) \(\chi_{6016}(341,\cdot)\) \(\chi_{6016}(357,\cdot)\) \(\chi_{6016}(365,\cdot)\) \(\chi_{6016}(397,\cdot)\) \(\chi_{6016}(413,\cdot)\) \(\chi_{6016}(429,\cdot)\) \(\chi_{6016}(437,\cdot)\) \(\chi_{6016}(477,\cdot)\) \(\chi_{6016}(525,\cdot)\) \(\chi_{6016}(533,\cdot)\) \(\chi_{6016}(541,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{736})$ |
| Fixed field: | Number field defined by a degree 736 polynomial (not computed) |
Values on generators
\((4607,2821,3201)\) → \((1,e\left(\frac{25}{32}\right),e\left(\frac{21}{23}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 6016 }(37, a) \) | \(1\) | \(1\) | \(e\left(\frac{445}{736}\right)\) | \(e\left(\frac{511}{736}\right)\) | \(e\left(\frac{11}{368}\right)\) | \(e\left(\frac{77}{368}\right)\) | \(e\left(\frac{587}{736}\right)\) | \(e\left(\frac{561}{736}\right)\) | \(e\left(\frac{55}{184}\right)\) | \(e\left(\frac{89}{184}\right)\) | \(e\left(\frac{41}{736}\right)\) | \(e\left(\frac{467}{736}\right)\) |