Basic properties
| Modulus: | \(5808\) | |
| Conductor: | \(968\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(110\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{968}(667,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | no | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 5808.db
\(\chi_{5808}(7,\cdot)\) \(\chi_{5808}(151,\cdot)\) \(\chi_{5808}(343,\cdot)\) \(\chi_{5808}(391,\cdot)\) \(\chi_{5808}(535,\cdot)\) \(\chi_{5808}(679,\cdot)\) \(\chi_{5808}(871,\cdot)\) \(\chi_{5808}(919,\cdot)\) \(\chi_{5808}(1063,\cdot)\) \(\chi_{5808}(1399,\cdot)\) \(\chi_{5808}(1447,\cdot)\) \(\chi_{5808}(1591,\cdot)\) \(\chi_{5808}(1735,\cdot)\) \(\chi_{5808}(1975,\cdot)\) \(\chi_{5808}(2119,\cdot)\) \(\chi_{5808}(2263,\cdot)\) \(\chi_{5808}(2455,\cdot)\) \(\chi_{5808}(2503,\cdot)\) \(\chi_{5808}(2647,\cdot)\) \(\chi_{5808}(2791,\cdot)\) \(\chi_{5808}(2983,\cdot)\) \(\chi_{5808}(3031,\cdot)\) \(\chi_{5808}(3175,\cdot)\) \(\chi_{5808}(3319,\cdot)\) \(\chi_{5808}(3511,\cdot)\) \(\chi_{5808}(3559,\cdot)\) \(\chi_{5808}(3703,\cdot)\) \(\chi_{5808}(3847,\cdot)\) \(\chi_{5808}(4039,\cdot)\) \(\chi_{5808}(4231,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{55})$ |
| Fixed field: | Number field defined by a degree 110 polynomial (not computed) |
Values on generators
\((3631,4357,1937,2785)\) → \((-1,-1,1,e\left(\frac{87}{110}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(5\) | \(7\) | \(13\) | \(17\) | \(19\) | \(23\) | \(25\) | \(29\) | \(31\) | \(35\) |
| \( \chi_{ 5808 }(2119, a) \) | \(1\) | \(1\) | \(e\left(\frac{3}{110}\right)\) | \(e\left(\frac{2}{55}\right)\) | \(e\left(\frac{21}{55}\right)\) | \(e\left(\frac{83}{110}\right)\) | \(e\left(\frac{71}{110}\right)\) | \(e\left(\frac{19}{22}\right)\) | \(e\left(\frac{3}{55}\right)\) | \(e\left(\frac{52}{55}\right)\) | \(e\left(\frac{57}{110}\right)\) | \(e\left(\frac{7}{110}\right)\) |