Basic properties
Modulus: | \(6019\) | |
Conductor: | \(6019\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(924\) | 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 6019.en
\(\chi_{6019}(7,\cdot)\) \(\chi_{6019}(71,\cdot)\) \(\chi_{6019}(80,\cdot)\) \(\chi_{6019}(106,\cdot)\) \(\chi_{6019}(150,\cdot)\) \(\chi_{6019}(180,\cdot)\) \(\chi_{6019}(184,\cdot)\) \(\chi_{6019}(193,\cdot)\) \(\chi_{6019}(197,\cdot)\) \(\chi_{6019}(201,\cdot)\) \(\chi_{6019}(219,\cdot)\) \(\chi_{6019}(254,\cdot)\) \(\chi_{6019}(314,\cdot)\) \(\chi_{6019}(319,\cdot)\) \(\chi_{6019}(340,\cdot)\) \(\chi_{6019}(366,\cdot)\) \(\chi_{6019}(379,\cdot)\) \(\chi_{6019}(397,\cdot)\) \(\chi_{6019}(405,\cdot)\) \(\chi_{6019}(414,\cdot)\) \(\chi_{6019}(470,\cdot)\) \(\chi_{6019}(475,\cdot)\) \(\chi_{6019}(592,\cdot)\) \(\chi_{6019}(613,\cdot)\) \(\chi_{6019}(643,\cdot)\) \(\chi_{6019}(656,\cdot)\) \(\chi_{6019}(682,\cdot)\) \(\chi_{6019}(700,\cdot)\) \(\chi_{6019}(717,\cdot)\) \(\chi_{6019}(765,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{924})$ |
Fixed field: | Number field defined by a degree 924 polynomial (not computed) |
Values on generators
\((2316,1392)\) → \((e\left(\frac{11}{12}\right),e\left(\frac{51}{154}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 6019 }(7, a) \) | \(1\) | \(1\) | \(e\left(\frac{163}{924}\right)\) | \(e\left(\frac{461}{462}\right)\) | \(e\left(\frac{163}{462}\right)\) | \(e\left(\frac{199}{308}\right)\) | \(e\left(\frac{23}{132}\right)\) | \(e\left(\frac{695}{924}\right)\) | \(e\left(\frac{163}{308}\right)\) | \(e\left(\frac{230}{231}\right)\) | \(e\left(\frac{190}{231}\right)\) | \(e\left(\frac{607}{924}\right)\) |