Basic properties
Modulus: | \(7935\) | |
Conductor: | \(2645\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(46\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{2645}(139,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 7935.bf
\(\chi_{7935}(139,\cdot)\) \(\chi_{7935}(484,\cdot)\) \(\chi_{7935}(829,\cdot)\) \(\chi_{7935}(1174,\cdot)\) \(\chi_{7935}(1519,\cdot)\) \(\chi_{7935}(1864,\cdot)\) \(\chi_{7935}(2209,\cdot)\) \(\chi_{7935}(2554,\cdot)\) \(\chi_{7935}(2899,\cdot)\) \(\chi_{7935}(3244,\cdot)\) \(\chi_{7935}(3589,\cdot)\) \(\chi_{7935}(3934,\cdot)\) \(\chi_{7935}(4279,\cdot)\) \(\chi_{7935}(4624,\cdot)\) \(\chi_{7935}(4969,\cdot)\) \(\chi_{7935}(5314,\cdot)\) \(\chi_{7935}(5659,\cdot)\) \(\chi_{7935}(6004,\cdot)\) \(\chi_{7935}(6694,\cdot)\) \(\chi_{7935}(7039,\cdot)\) \(\chi_{7935}(7384,\cdot)\) \(\chi_{7935}(7729,\cdot)\)
Related number fields
Field of values: | \(\Q(\zeta_{23})\) |
Fixed field: | Number field defined by a degree 46 polynomial |
Values on generators
\((5291,4762,7411)\) → \((1,-1,e\left(\frac{7}{23}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 7935 }(139, a) \) | \(1\) | \(1\) | \(e\left(\frac{17}{46}\right)\) | \(e\left(\frac{17}{23}\right)\) | \(e\left(\frac{35}{46}\right)\) | \(e\left(\frac{5}{46}\right)\) | \(e\left(\frac{15}{23}\right)\) | \(e\left(\frac{15}{46}\right)\) | \(e\left(\frac{3}{23}\right)\) | \(e\left(\frac{11}{23}\right)\) | \(e\left(\frac{15}{46}\right)\) | \(e\left(\frac{20}{23}\right)\) |