Basic properties
Modulus: | \(6017\) | |
Conductor: | \(6017\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(910\) | 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 6017.cf
\(\chi_{6017}(8,\cdot)\) \(\chi_{6017}(68,\cdot)\) \(\chi_{6017}(79,\cdot)\) \(\chi_{6017}(94,\cdot)\) \(\chi_{6017}(101,\cdot)\) \(\chi_{6017}(105,\cdot)\) \(\chi_{6017}(138,\cdot)\) \(\chi_{6017}(151,\cdot)\) \(\chi_{6017}(156,\cdot)\) \(\chi_{6017}(173,\cdot)\) \(\chi_{6017}(226,\cdot)\) \(\chi_{6017}(238,\cdot)\) \(\chi_{6017}(244,\cdot)\) \(\chi_{6017}(255,\cdot)\) \(\chi_{6017}(270,\cdot)\) \(\chi_{6017}(299,\cdot)\) \(\chi_{6017}(332,\cdot)\) \(\chi_{6017}(338,\cdot)\) \(\chi_{6017}(343,\cdot)\) \(\chi_{6017}(380,\cdot)\) \(\chi_{6017}(382,\cdot)\) \(\chi_{6017}(393,\cdot)\) \(\chi_{6017}(398,\cdot)\) \(\chi_{6017}(447,\cdot)\) \(\chi_{6017}(457,\cdot)\) \(\chi_{6017}(503,\cdot)\) \(\chi_{6017}(512,\cdot)\) \(\chi_{6017}(523,\cdot)\) \(\chi_{6017}(578,\cdot)\) \(\chi_{6017}(602,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{455})$ |
Fixed field: | Number field defined by a degree 910 polynomial (not computed) |
Values on generators
\((3830,2190)\) → \((e\left(\frac{3}{10}\right),e\left(\frac{1}{182}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
\( \chi_{ 6017 }(8, a) \) | \(1\) | \(1\) | \(e\left(\frac{139}{455}\right)\) | \(e\left(\frac{53}{70}\right)\) | \(e\left(\frac{278}{455}\right)\) | \(e\left(\frac{167}{910}\right)\) | \(e\left(\frac{57}{910}\right)\) | \(e\left(\frac{303}{455}\right)\) | \(e\left(\frac{417}{455}\right)\) | \(e\left(\frac{18}{35}\right)\) | \(e\left(\frac{89}{182}\right)\) | \(e\left(\frac{67}{182}\right)\) |