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 \(\chi_{968}(315,\cdot)\) | 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
\((3631,4357,1937,2785)\) → \((-1,-1,1,e\left(\frac{37}{110}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(5\) | \(7\) | \(13\) | \(17\) | \(19\) | \(23\) | \(25\) | \(29\) | \(31\) | \(35\) |
\( \chi_{ 5808 }(3703, a) \) | \(1\) | \(1\) | \(e\left(\frac{43}{110}\right)\) | \(e\left(\frac{47}{55}\right)\) | \(e\left(\frac{26}{55}\right)\) | \(e\left(\frac{53}{110}\right)\) | \(e\left(\frac{101}{110}\right)\) | \(e\left(\frac{1}{22}\right)\) | \(e\left(\frac{43}{55}\right)\) | \(e\left(\frac{12}{55}\right)\) | \(e\left(\frac{47}{110}\right)\) | \(e\left(\frac{27}{110}\right)\) |