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.hc
\(\chi_{5265}(67,\cdot)\) \(\chi_{5265}(97,\cdot)\) \(\chi_{5265}(193,\cdot)\) \(\chi_{5265}(358,\cdot)\) \(\chi_{5265}(652,\cdot)\) \(\chi_{5265}(682,\cdot)\) \(\chi_{5265}(778,\cdot)\) \(\chi_{5265}(943,\cdot)\) \(\chi_{5265}(1237,\cdot)\) \(\chi_{5265}(1267,\cdot)\) \(\chi_{5265}(1363,\cdot)\) \(\chi_{5265}(1528,\cdot)\) \(\chi_{5265}(1822,\cdot)\) \(\chi_{5265}(1852,\cdot)\) \(\chi_{5265}(1948,\cdot)\) \(\chi_{5265}(2113,\cdot)\) \(\chi_{5265}(2407,\cdot)\) \(\chi_{5265}(2437,\cdot)\) \(\chi_{5265}(2533,\cdot)\) \(\chi_{5265}(2698,\cdot)\) \(\chi_{5265}(2992,\cdot)\) \(\chi_{5265}(3022,\cdot)\) \(\chi_{5265}(3118,\cdot)\) \(\chi_{5265}(3283,\cdot)\) \(\chi_{5265}(3577,\cdot)\) \(\chi_{5265}(3607,\cdot)\) \(\chi_{5265}(3703,\cdot)\) \(\chi_{5265}(3868,\cdot)\) \(\chi_{5265}(4162,\cdot)\) \(\chi_{5265}(4192,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{108})$ |
| Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((326,2107,2836)\) → \((e\left(\frac{22}{27}\right),i,e\left(\frac{1}{12}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
| \( \chi_{ 5265 }(67, a) \) | \(1\) | \(1\) | \(e\left(\frac{4}{27}\right)\) | \(e\left(\frac{8}{27}\right)\) | \(e\left(\frac{11}{54}\right)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{19}{108}\right)\) | \(e\left(\frac{19}{54}\right)\) | \(e\left(\frac{16}{27}\right)\) | \(e\left(\frac{11}{36}\right)\) | \(e\left(\frac{1}{36}\right)\) | \(e\left(\frac{35}{108}\right)\) |