Basic properties
Modulus: | \(6027\) | |
Conductor: | \(6027\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(840\) | 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 6027.ew
\(\chi_{6027}(17,\cdot)\) \(\chi_{6027}(26,\cdot)\) \(\chi_{6027}(47,\cdot)\) \(\chi_{6027}(89,\cdot)\) \(\chi_{6027}(101,\cdot)\) \(\chi_{6027}(110,\cdot)\) \(\chi_{6027}(152,\cdot)\) \(\chi_{6027}(194,\cdot)\) \(\chi_{6027}(257,\cdot)\) \(\chi_{6027}(299,\cdot)\) \(\chi_{6027}(311,\cdot)\) \(\chi_{6027}(341,\cdot)\) \(\chi_{6027}(395,\cdot)\) \(\chi_{6027}(404,\cdot)\) \(\chi_{6027}(416,\cdot)\) \(\chi_{6027}(425,\cdot)\) \(\chi_{6027}(458,\cdot)\) \(\chi_{6027}(479,\cdot)\) \(\chi_{6027}(563,\cdot)\) \(\chi_{6027}(593,\cdot)\) \(\chi_{6027}(626,\cdot)\) \(\chi_{6027}(710,\cdot)\) \(\chi_{6027}(719,\cdot)\) \(\chi_{6027}(731,\cdot)\) \(\chi_{6027}(773,\cdot)\) \(\chi_{6027}(794,\cdot)\) \(\chi_{6027}(878,\cdot)\) \(\chi_{6027}(887,\cdot)\) \(\chi_{6027}(908,\cdot)\) \(\chi_{6027}(971,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{840})$ |
Fixed field: | Number field defined by a degree 840 polynomial (not computed) |
Values on generators
\((4019,493,2794)\) → \((-1,e\left(\frac{17}{42}\right),e\left(\frac{17}{40}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(11\) | \(13\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 6027 }(26, a) \) | \(-1\) | \(1\) | \(e\left(\frac{31}{420}\right)\) | \(e\left(\frac{31}{210}\right)\) | \(e\left(\frac{247}{420}\right)\) | \(e\left(\frac{31}{140}\right)\) | \(e\left(\frac{139}{210}\right)\) | \(e\left(\frac{811}{840}\right)\) | \(e\left(\frac{149}{280}\right)\) | \(e\left(\frac{31}{105}\right)\) | \(e\left(\frac{541}{840}\right)\) | \(e\left(\frac{119}{120}\right)\) |