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.ih
\(\chi_{5265}(187,\cdot)\) \(\chi_{5265}(268,\cdot)\) \(\chi_{5265}(382,\cdot)\) \(\chi_{5265}(463,\cdot)\) \(\chi_{5265}(772,\cdot)\) \(\chi_{5265}(853,\cdot)\) \(\chi_{5265}(967,\cdot)\) \(\chi_{5265}(1048,\cdot)\) \(\chi_{5265}(1357,\cdot)\) \(\chi_{5265}(1438,\cdot)\) \(\chi_{5265}(1552,\cdot)\) \(\chi_{5265}(1633,\cdot)\) \(\chi_{5265}(1942,\cdot)\) \(\chi_{5265}(2023,\cdot)\) \(\chi_{5265}(2137,\cdot)\) \(\chi_{5265}(2218,\cdot)\) \(\chi_{5265}(2527,\cdot)\) \(\chi_{5265}(2608,\cdot)\) \(\chi_{5265}(2722,\cdot)\) \(\chi_{5265}(2803,\cdot)\) \(\chi_{5265}(3112,\cdot)\) \(\chi_{5265}(3193,\cdot)\) \(\chi_{5265}(3307,\cdot)\) \(\chi_{5265}(3388,\cdot)\) \(\chi_{5265}(3697,\cdot)\) \(\chi_{5265}(3778,\cdot)\) \(\chi_{5265}(3892,\cdot)\) \(\chi_{5265}(3973,\cdot)\) \(\chi_{5265}(4282,\cdot)\) \(\chi_{5265}(4363,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{108})$ |
| Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((326,2107,2836)\) → \((e\left(\frac{23}{27}\right),i,-i)\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
| \( \chi_{ 5265 }(187, a) \) | \(1\) | \(1\) | \(e\left(\frac{23}{27}\right)\) | \(e\left(\frac{19}{27}\right)\) | \(e\left(\frac{7}{54}\right)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{35}{108}\right)\) | \(e\left(\frac{53}{54}\right)\) | \(e\left(\frac{11}{27}\right)\) | \(e\left(\frac{31}{36}\right)\) | \(e\left(\frac{5}{36}\right)\) | \(e\left(\frac{19}{108}\right)\) |