Basic properties
| Modulus: | \(7935\) | |
| Conductor: | \(2645\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(92\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{2645}(22,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 7935.bi
\(\chi_{7935}(22,\cdot)\) \(\chi_{7935}(298,\cdot)\) \(\chi_{7935}(367,\cdot)\) \(\chi_{7935}(643,\cdot)\) \(\chi_{7935}(712,\cdot)\) \(\chi_{7935}(988,\cdot)\) \(\chi_{7935}(1333,\cdot)\) \(\chi_{7935}(1402,\cdot)\) \(\chi_{7935}(1678,\cdot)\) \(\chi_{7935}(1747,\cdot)\) \(\chi_{7935}(2023,\cdot)\) \(\chi_{7935}(2092,\cdot)\) \(\chi_{7935}(2368,\cdot)\) \(\chi_{7935}(2437,\cdot)\) \(\chi_{7935}(2713,\cdot)\) \(\chi_{7935}(2782,\cdot)\) \(\chi_{7935}(3058,\cdot)\) \(\chi_{7935}(3127,\cdot)\) \(\chi_{7935}(3403,\cdot)\) \(\chi_{7935}(3472,\cdot)\) \(\chi_{7935}(3748,\cdot)\) \(\chi_{7935}(3817,\cdot)\) \(\chi_{7935}(4093,\cdot)\) \(\chi_{7935}(4162,\cdot)\) \(\chi_{7935}(4438,\cdot)\) \(\chi_{7935}(4507,\cdot)\) \(\chi_{7935}(4783,\cdot)\) \(\chi_{7935}(4852,\cdot)\) \(\chi_{7935}(5128,\cdot)\) \(\chi_{7935}(5197,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{92})$ |
| Fixed field: | Number field defined by a degree 92 polynomial |
Values on generators
\((5291,4762,7411)\) → \((1,i,e\left(\frac{13}{46}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 7935 }(22, a) \) | \(1\) | \(1\) | \(e\left(\frac{71}{92}\right)\) | \(e\left(\frac{25}{46}\right)\) | \(e\left(\frac{65}{92}\right)\) | \(e\left(\frac{29}{92}\right)\) | \(e\left(\frac{41}{46}\right)\) | \(e\left(\frac{41}{92}\right)\) | \(e\left(\frac{11}{23}\right)\) | \(e\left(\frac{2}{23}\right)\) | \(e\left(\frac{41}{92}\right)\) | \(e\left(\frac{12}{23}\right)\) |