Basic properties
| Modulus: | \(6017\) | |
| Conductor: | \(6017\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(182\) | 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.bs
\(\chi_{6017}(65,\cdot)\) \(\chi_{6017}(87,\cdot)\) \(\chi_{6017}(98,\cdot)\) \(\chi_{6017}(164,\cdot)\) \(\chi_{6017}(252,\cdot)\) \(\chi_{6017}(307,\cdot)\) \(\chi_{6017}(329,\cdot)\) \(\chi_{6017}(362,\cdot)\) \(\chi_{6017}(483,\cdot)\) \(\chi_{6017}(615,\cdot)\) \(\chi_{6017}(626,\cdot)\) \(\chi_{6017}(648,\cdot)\) \(\chi_{6017}(703,\cdot)\) \(\chi_{6017}(791,\cdot)\) \(\chi_{6017}(802,\cdot)\) \(\chi_{6017}(846,\cdot)\) \(\chi_{6017}(879,\cdot)\) \(\chi_{6017}(890,\cdot)\) \(\chi_{6017}(945,\cdot)\) \(\chi_{6017}(1242,\cdot)\) \(\chi_{6017}(1286,\cdot)\) \(\chi_{6017}(1330,\cdot)\) \(\chi_{6017}(1374,\cdot)\) \(\chi_{6017}(1429,\cdot)\) \(\chi_{6017}(1462,\cdot)\) \(\chi_{6017}(1649,\cdot)\) \(\chi_{6017}(1792,\cdot)\) \(\chi_{6017}(1814,\cdot)\) \(\chi_{6017}(1979,\cdot)\) \(\chi_{6017}(2023,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{91})$ |
| Fixed field: | Number field defined by a degree 182 polynomial (not computed) |
Values on generators
\((3830,2190)\) → \((-1,e\left(\frac{1}{182}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
| \( \chi_{ 6017 }(1649, a) \) | \(1\) | \(1\) | \(e\left(\frac{46}{91}\right)\) | \(e\left(\frac{5}{14}\right)\) | \(e\left(\frac{1}{91}\right)\) | \(e\left(\frac{179}{182}\right)\) | \(e\left(\frac{157}{182}\right)\) | \(e\left(\frac{6}{91}\right)\) | \(e\left(\frac{47}{91}\right)\) | \(e\left(\frac{5}{7}\right)\) | \(e\left(\frac{89}{182}\right)\) | \(e\left(\frac{67}{182}\right)\) |