Basic properties
| Modulus: | \(6023\) | |
| Conductor: | \(6023\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(2844\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| 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 6023.bi
\(\chi_{6023}(2,\cdot)\) \(\chi_{6023}(3,\cdot)\) \(\chi_{6023}(13,\cdot)\) \(\chi_{6023}(14,\cdot)\) \(\chi_{6023}(21,\cdot)\) \(\chi_{6023}(22,\cdot)\) \(\chi_{6023}(29,\cdot)\) \(\chi_{6023}(32,\cdot)\) \(\chi_{6023}(33,\cdot)\) \(\chi_{6023}(41,\cdot)\) \(\chi_{6023}(48,\cdot)\) \(\chi_{6023}(52,\cdot)\) \(\chi_{6023}(71,\cdot)\) \(\chi_{6023}(72,\cdot)\) \(\chi_{6023}(78,\cdot)\) \(\chi_{6023}(86,\cdot)\) \(\chi_{6023}(91,\cdot)\) \(\chi_{6023}(97,\cdot)\) \(\chi_{6023}(98,\cdot)\) \(\chi_{6023}(108,\cdot)\) \(\chi_{6023}(109,\cdot)\) \(\chi_{6023}(116,\cdot)\) \(\chi_{6023}(117,\cdot)\) \(\chi_{6023}(127,\cdot)\) \(\chi_{6023}(128,\cdot)\) \(\chi_{6023}(129,\cdot)\) \(\chi_{6023}(143,\cdot)\) \(\chi_{6023}(146,\cdot)\) \(\chi_{6023}(147,\cdot)\) \(\chi_{6023}(154,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{2844})$ |
| Fixed field: | Number field defined by a degree 2844 polynomial (not computed) |
Values on generators
\((952,5074)\) → \((e\left(\frac{7}{18}\right),e\left(\frac{85}{316}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 6023 }(6018, a) \) | \(1\) | \(1\) | \(e\left(\frac{1871}{2844}\right)\) | \(e\left(\frac{95}{2844}\right)\) | \(e\left(\frac{449}{1422}\right)\) | \(e\left(\frac{1667}{2844}\right)\) | \(e\left(\frac{983}{1422}\right)\) | \(e\left(\frac{371}{474}\right)\) | \(e\left(\frac{923}{948}\right)\) | \(e\left(\frac{95}{1422}\right)\) | \(e\left(\frac{347}{1422}\right)\) | \(e\left(\frac{32}{237}\right)\) |