Basic properties
Modulus: | \(6027\) | |
Conductor: | \(6027\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(840\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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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 6027.eu
\(\chi_{6027}(11,\cdot)\) \(\chi_{6027}(53,\cdot)\) \(\chi_{6027}(65,\cdot)\) \(\chi_{6027}(95,\cdot)\) \(\chi_{6027}(149,\cdot)\) \(\chi_{6027}(158,\cdot)\) \(\chi_{6027}(170,\cdot)\) \(\chi_{6027}(179,\cdot)\) \(\chi_{6027}(212,\cdot)\) \(\chi_{6027}(233,\cdot)\) \(\chi_{6027}(317,\cdot)\) \(\chi_{6027}(347,\cdot)\) \(\chi_{6027}(380,\cdot)\) \(\chi_{6027}(464,\cdot)\) \(\chi_{6027}(473,\cdot)\) \(\chi_{6027}(485,\cdot)\) \(\chi_{6027}(527,\cdot)\) \(\chi_{6027}(548,\cdot)\) \(\chi_{6027}(632,\cdot)\) \(\chi_{6027}(641,\cdot)\) \(\chi_{6027}(662,\cdot)\) \(\chi_{6027}(725,\cdot)\) \(\chi_{6027}(767,\cdot)\) \(\chi_{6027}(809,\cdot)\) \(\chi_{6027}(842,\cdot)\) \(\chi_{6027}(872,\cdot)\) \(\chi_{6027}(914,\cdot)\) \(\chi_{6027}(926,\cdot)\) \(\chi_{6027}(956,\cdot)\) \(\chi_{6027}(977,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{840})$ |
Fixed field: | Number field defined by a degree 840 polynomial (not computed) |
Values on generators
\((4019,493,2794)\) → \((-1,e\left(\frac{8}{21}\right),e\left(\frac{31}{40}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(11\) | \(13\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 6027 }(956, a) \) | \(1\) | \(1\) | \(e\left(\frac{233}{420}\right)\) | \(e\left(\frac{23}{210}\right)\) | \(e\left(\frac{251}{420}\right)\) | \(e\left(\frac{93}{140}\right)\) | \(e\left(\frac{16}{105}\right)\) | \(e\left(\frac{53}{840}\right)\) | \(e\left(\frac{167}{280}\right)\) | \(e\left(\frac{23}{105}\right)\) | \(e\left(\frac{503}{840}\right)\) | \(e\left(\frac{37}{120}\right)\) |