Basic properties
Modulus: | \(2527\) | |
Conductor: | \(2527\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(171\) | 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 2527.cc
\(\chi_{2527}(9,\cdot)\) \(\chi_{2527}(23,\cdot)\) \(\chi_{2527}(44,\cdot)\) \(\chi_{2527}(74,\cdot)\) \(\chi_{2527}(81,\cdot)\) \(\chi_{2527}(130,\cdot)\) \(\chi_{2527}(142,\cdot)\) \(\chi_{2527}(156,\cdot)\) \(\chi_{2527}(177,\cdot)\) \(\chi_{2527}(207,\cdot)\) \(\chi_{2527}(214,\cdot)\) \(\chi_{2527}(263,\cdot)\) \(\chi_{2527}(275,\cdot)\) \(\chi_{2527}(289,\cdot)\) \(\chi_{2527}(310,\cdot)\) \(\chi_{2527}(340,\cdot)\) \(\chi_{2527}(347,\cdot)\) \(\chi_{2527}(396,\cdot)\) \(\chi_{2527}(408,\cdot)\) \(\chi_{2527}(422,\cdot)\) \(\chi_{2527}(443,\cdot)\) \(\chi_{2527}(473,\cdot)\) \(\chi_{2527}(480,\cdot)\) \(\chi_{2527}(529,\cdot)\) \(\chi_{2527}(541,\cdot)\) \(\chi_{2527}(555,\cdot)\) \(\chi_{2527}(576,\cdot)\) \(\chi_{2527}(613,\cdot)\) \(\chi_{2527}(662,\cdot)\) \(\chi_{2527}(674,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{171})$ |
Fixed field: | Number field defined by a degree 171 polynomial (not computed) |
Values on generators
\((1445,1807)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{107}{171}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(8\) | \(9\) | \(10\) | \(11\) | \(12\) |
\( \chi_{ 2527 }(81, a) \) | \(1\) | \(1\) | \(e\left(\frac{164}{171}\right)\) | \(e\left(\frac{110}{171}\right)\) | \(e\left(\frac{157}{171}\right)\) | \(e\left(\frac{86}{171}\right)\) | \(e\left(\frac{103}{171}\right)\) | \(e\left(\frac{50}{57}\right)\) | \(e\left(\frac{49}{171}\right)\) | \(e\left(\frac{79}{171}\right)\) | \(e\left(\frac{28}{57}\right)\) | \(e\left(\frac{32}{57}\right)\) |