Basic properties
| Modulus: | \(7935\) | |
| Conductor: | \(7935\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(92\) | 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 7935.bj
\(\chi_{7935}(47,\cdot)\) \(\chi_{7935}(323,\cdot)\) \(\chi_{7935}(392,\cdot)\) \(\chi_{7935}(668,\cdot)\) \(\chi_{7935}(737,\cdot)\) \(\chi_{7935}(1013,\cdot)\) \(\chi_{7935}(1082,\cdot)\) \(\chi_{7935}(1358,\cdot)\) \(\chi_{7935}(1427,\cdot)\) \(\chi_{7935}(1703,\cdot)\) \(\chi_{7935}(1772,\cdot)\) \(\chi_{7935}(2048,\cdot)\) \(\chi_{7935}(2393,\cdot)\) \(\chi_{7935}(2462,\cdot)\) \(\chi_{7935}(2738,\cdot)\) \(\chi_{7935}(2807,\cdot)\) \(\chi_{7935}(3083,\cdot)\) \(\chi_{7935}(3152,\cdot)\) \(\chi_{7935}(3428,\cdot)\) \(\chi_{7935}(3497,\cdot)\) \(\chi_{7935}(3773,\cdot)\) \(\chi_{7935}(3842,\cdot)\) \(\chi_{7935}(4118,\cdot)\) \(\chi_{7935}(4187,\cdot)\) \(\chi_{7935}(4463,\cdot)\) \(\chi_{7935}(4532,\cdot)\) \(\chi_{7935}(4808,\cdot)\) \(\chi_{7935}(4877,\cdot)\) \(\chi_{7935}(5153,\cdot)\) \(\chi_{7935}(5222,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{92})$ |
| Fixed field: | Number field defined by a degree 92 polynomial |
Values on generators
\((5291,4762,7411)\) → \((-1,i,e\left(\frac{10}{23}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 7935 }(47, a) \) | \(1\) | \(1\) | \(e\left(\frac{65}{92}\right)\) | \(e\left(\frac{19}{46}\right)\) | \(e\left(\frac{31}{92}\right)\) | \(e\left(\frac{11}{92}\right)\) | \(e\left(\frac{33}{46}\right)\) | \(e\left(\frac{33}{92}\right)\) | \(e\left(\frac{1}{23}\right)\) | \(e\left(\frac{19}{23}\right)\) | \(e\left(\frac{33}{92}\right)\) | \(e\left(\frac{21}{46}\right)\) |