Basic properties
| Modulus: | \(6023\) | |
| Conductor: | \(6023\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(158\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6023.t
\(\chi_{6023}(37,\cdot)\) \(\chi_{6023}(94,\cdot)\) \(\chi_{6023}(455,\cdot)\) \(\chi_{6023}(474,\cdot)\) \(\chi_{6023}(531,\cdot)\) \(\chi_{6023}(569,\cdot)\) \(\chi_{6023}(721,\cdot)\) \(\chi_{6023}(778,\cdot)\) \(\chi_{6023}(892,\cdot)\) \(\chi_{6023}(1063,\cdot)\) \(\chi_{6023}(1120,\cdot)\) \(\chi_{6023}(1158,\cdot)\) \(\chi_{6023}(1234,\cdot)\) \(\chi_{6023}(1253,\cdot)\) \(\chi_{6023}(1272,\cdot)\) \(\chi_{6023}(1329,\cdot)\) \(\chi_{6023}(1367,\cdot)\) \(\chi_{6023}(1481,\cdot)\) \(\chi_{6023}(1557,\cdot)\) \(\chi_{6023}(1690,\cdot)\) \(\chi_{6023}(1709,\cdot)\) \(\chi_{6023}(1823,\cdot)\) \(\chi_{6023}(1975,\cdot)\) \(\chi_{6023}(1994,\cdot)\) \(\chi_{6023}(2070,\cdot)\) \(\chi_{6023}(2165,\cdot)\) \(\chi_{6023}(2203,\cdot)\) \(\chi_{6023}(2279,\cdot)\) \(\chi_{6023}(2355,\cdot)\) \(\chi_{6023}(2469,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{79})$ |
| Fixed field: | Number field defined by a degree 158 polynomial (not computed) |
Values on generators
\((952,5074)\) → \((-1,e\left(\frac{69}{158}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 6023 }(37, a) \) | \(-1\) | \(1\) | \(e\left(\frac{74}{79}\right)\) | \(e\left(\frac{19}{79}\right)\) | \(e\left(\frac{69}{79}\right)\) | \(e\left(\frac{19}{158}\right)\) | \(e\left(\frac{14}{79}\right)\) | \(e\left(\frac{66}{79}\right)\) | \(e\left(\frac{64}{79}\right)\) | \(e\left(\frac{38}{79}\right)\) | \(e\left(\frac{9}{158}\right)\) | \(e\left(\frac{61}{79}\right)\) |