Basic properties
Modulus: | \(5265\) | |
Conductor: | \(5265\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(108\) | 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 5265.hj
\(\chi_{5265}(254,\cdot)\) \(\chi_{5265}(284,\cdot)\) \(\chi_{5265}(344,\cdot)\) \(\chi_{5265}(509,\cdot)\) \(\chi_{5265}(839,\cdot)\) \(\chi_{5265}(869,\cdot)\) \(\chi_{5265}(929,\cdot)\) \(\chi_{5265}(1094,\cdot)\) \(\chi_{5265}(1424,\cdot)\) \(\chi_{5265}(1454,\cdot)\) \(\chi_{5265}(1514,\cdot)\) \(\chi_{5265}(1679,\cdot)\) \(\chi_{5265}(2009,\cdot)\) \(\chi_{5265}(2039,\cdot)\) \(\chi_{5265}(2099,\cdot)\) \(\chi_{5265}(2264,\cdot)\) \(\chi_{5265}(2594,\cdot)\) \(\chi_{5265}(2624,\cdot)\) \(\chi_{5265}(2684,\cdot)\) \(\chi_{5265}(2849,\cdot)\) \(\chi_{5265}(3179,\cdot)\) \(\chi_{5265}(3209,\cdot)\) \(\chi_{5265}(3269,\cdot)\) \(\chi_{5265}(3434,\cdot)\) \(\chi_{5265}(3764,\cdot)\) \(\chi_{5265}(3794,\cdot)\) \(\chi_{5265}(3854,\cdot)\) \(\chi_{5265}(4019,\cdot)\) \(\chi_{5265}(4349,\cdot)\) \(\chi_{5265}(4379,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{108})$ |
Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((326,2107,2836)\) → \((e\left(\frac{13}{54}\right),-1,e\left(\frac{11}{12}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
\( \chi_{ 5265 }(254, a) \) | \(1\) | \(1\) | \(e\left(\frac{71}{108}\right)\) | \(e\left(\frac{17}{54}\right)\) | \(e\left(\frac{47}{108}\right)\) | \(e\left(\frac{35}{36}\right)\) | \(e\left(\frac{59}{108}\right)\) | \(e\left(\frac{5}{54}\right)\) | \(e\left(\frac{17}{27}\right)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{5}{36}\right)\) | \(e\left(\frac{11}{54}\right)\) |