Basic properties
| Modulus: | \(7935\) | |
| Conductor: | \(1587\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(46\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{1587}(206,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 7935.be
\(\chi_{7935}(206,\cdot)\) \(\chi_{7935}(551,\cdot)\) \(\chi_{7935}(896,\cdot)\) \(\chi_{7935}(1241,\cdot)\) \(\chi_{7935}(1931,\cdot)\) \(\chi_{7935}(2276,\cdot)\) \(\chi_{7935}(2621,\cdot)\) \(\chi_{7935}(2966,\cdot)\) \(\chi_{7935}(3311,\cdot)\) \(\chi_{7935}(3656,\cdot)\) \(\chi_{7935}(4001,\cdot)\) \(\chi_{7935}(4346,\cdot)\) \(\chi_{7935}(4691,\cdot)\) \(\chi_{7935}(5036,\cdot)\) \(\chi_{7935}(5381,\cdot)\) \(\chi_{7935}(5726,\cdot)\) \(\chi_{7935}(6071,\cdot)\) \(\chi_{7935}(6416,\cdot)\) \(\chi_{7935}(6761,\cdot)\) \(\chi_{7935}(7106,\cdot)\) \(\chi_{7935}(7451,\cdot)\) \(\chi_{7935}(7796,\cdot)\)
Related number fields
| Field of values: | \(\Q(\zeta_{23})\) |
| Fixed field: | 46.46.1470842817673057437220890907463920400426121023998104454232892480697165342478210939315146294706297496874821355393775004121106479384701.1 |
Values on generators
\((5291,4762,7411)\) → \((-1,1,e\left(\frac{25}{46}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 7935 }(206, a) \) | \(1\) | \(1\) | \(e\left(\frac{9}{46}\right)\) | \(e\left(\frac{9}{23}\right)\) | \(e\left(\frac{5}{46}\right)\) | \(e\left(\frac{27}{46}\right)\) | \(e\left(\frac{12}{23}\right)\) | \(e\left(\frac{6}{23}\right)\) | \(e\left(\frac{7}{23}\right)\) | \(e\left(\frac{18}{23}\right)\) | \(e\left(\frac{6}{23}\right)\) | \(e\left(\frac{9}{46}\right)\) |