Basic properties
Modulus: | \(6018\) | |
Conductor: | \(1003\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(464\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{1003}(7,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6018.bl
\(\chi_{6018}(7,\cdot)\) \(\chi_{6018}(79,\cdot)\) \(\chi_{6018}(133,\cdot)\) \(\chi_{6018}(139,\cdot)\) \(\chi_{6018}(163,\cdot)\) \(\chi_{6018}(175,\cdot)\) \(\chi_{6018}(181,\cdot)\) \(\chi_{6018}(193,\cdot)\) \(\chi_{6018}(199,\cdot)\) \(\chi_{6018}(241,\cdot)\) \(\chi_{6018}(265,\cdot)\) \(\chi_{6018}(277,\cdot)\) \(\chi_{6018}(343,\cdot)\) \(\chi_{6018}(379,\cdot)\) \(\chi_{6018}(403,\cdot)\) \(\chi_{6018}(439,\cdot)\) \(\chi_{6018}(481,\cdot)\) \(\chi_{6018}(487,\cdot)\) \(\chi_{6018}(499,\cdot)\) \(\chi_{6018}(517,\cdot)\) \(\chi_{6018}(547,\cdot)\) \(\chi_{6018}(607,\cdot)\) \(\chi_{6018}(619,\cdot)\) \(\chi_{6018}(643,\cdot)\) \(\chi_{6018}(685,\cdot)\) \(\chi_{6018}(787,\cdot)\) \(\chi_{6018}(793,\cdot)\) \(\chi_{6018}(847,\cdot)\) \(\chi_{6018}(853,\cdot)\) \(\chi_{6018}(877,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{464})$ |
Fixed field: | Number field defined by a degree 464 polynomial (not computed) |
Values on generators
\((4013,1771,1123)\) → \((1,e\left(\frac{11}{16}\right),e\left(\frac{9}{29}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(5\) | \(7\) | \(11\) | \(13\) | \(19\) | \(23\) | \(25\) | \(29\) | \(31\) | \(35\) |
\( \chi_{ 6018 }(7, a) \) | \(-1\) | \(1\) | \(e\left(\frac{139}{464}\right)\) | \(e\left(\frac{69}{464}\right)\) | \(e\left(\frac{265}{464}\right)\) | \(e\left(\frac{83}{116}\right)\) | \(e\left(\frac{97}{232}\right)\) | \(e\left(\frac{449}{464}\right)\) | \(e\left(\frac{139}{232}\right)\) | \(e\left(\frac{291}{464}\right)\) | \(e\left(\frac{183}{464}\right)\) | \(e\left(\frac{13}{29}\right)\) |