Basic properties
| Modulus: | \(6017\) | |
| Conductor: | \(6017\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(455\) | 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 6017.cb
\(\chi_{6017}(64,\cdot)\) \(\chi_{6017}(93,\cdot)\) \(\chi_{6017}(114,\cdot)\) \(\chi_{6017}(179,\cdot)\) \(\chi_{6017}(185,\cdot)\) \(\chi_{6017}(212,\cdot)\) \(\chi_{6017}(218,\cdot)\) \(\chi_{6017}(224,\cdot)\) \(\chi_{6017}(240,\cdot)\) \(\chi_{6017}(247,\cdot)\) \(\chi_{6017}(267,\cdot)\) \(\chi_{6017}(268,\cdot)\) \(\chi_{6017}(290,\cdot)\) \(\chi_{6017}(295,\cdot)\) \(\chi_{6017}(311,\cdot)\) \(\chi_{6017}(355,\cdot)\) \(\chi_{6017}(383,\cdot)\) \(\chi_{6017}(399,\cdot)\) \(\chi_{6017}(422,\cdot)\) \(\chi_{6017}(444,\cdot)\) \(\chi_{6017}(449,\cdot)\) \(\chi_{6017}(460,\cdot)\) \(\chi_{6017}(467,\cdot)\) \(\chi_{6017}(482,\cdot)\) \(\chi_{6017}(576,\cdot)\) \(\chi_{6017}(599,\cdot)\) \(\chi_{6017}(631,\cdot)\) \(\chi_{6017}(632,\cdot)\) \(\chi_{6017}(647,\cdot)\) \(\chi_{6017}(696,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{455})$ |
| Fixed field: | Number field defined by a degree 455 polynomial (not computed) |
Values on generators
\((3830,2190)\) → \((e\left(\frac{4}{5}\right),e\left(\frac{40}{91}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
| \( \chi_{ 6017 }(311, a) \) | \(1\) | \(1\) | \(e\left(\frac{109}{455}\right)\) | \(e\left(\frac{34}{35}\right)\) | \(e\left(\frac{218}{455}\right)\) | \(e\left(\frac{401}{455}\right)\) | \(e\left(\frac{96}{455}\right)\) | \(e\left(\frac{398}{455}\right)\) | \(e\left(\frac{327}{455}\right)\) | \(e\left(\frac{33}{35}\right)\) | \(e\left(\frac{11}{91}\right)\) | \(e\left(\frac{41}{91}\right)\) |