Basic properties
| Modulus: | \(7935\) | |
| Conductor: | \(529\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(253\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{529}(16,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 7935.bk
\(\chi_{7935}(16,\cdot)\) \(\chi_{7935}(31,\cdot)\) \(\chi_{7935}(121,\cdot)\) \(\chi_{7935}(151,\cdot)\) \(\chi_{7935}(196,\cdot)\) \(\chi_{7935}(211,\cdot)\) \(\chi_{7935}(256,\cdot)\) \(\chi_{7935}(271,\cdot)\) \(\chi_{7935}(301,\cdot)\) \(\chi_{7935}(331,\cdot)\) \(\chi_{7935}(361,\cdot)\) \(\chi_{7935}(376,\cdot)\) \(\chi_{7935}(496,\cdot)\) \(\chi_{7935}(541,\cdot)\) \(\chi_{7935}(556,\cdot)\) \(\chi_{7935}(601,\cdot)\) \(\chi_{7935}(616,\cdot)\) \(\chi_{7935}(646,\cdot)\) \(\chi_{7935}(676,\cdot)\) \(\chi_{7935}(721,\cdot)\) \(\chi_{7935}(811,\cdot)\) \(\chi_{7935}(841,\cdot)\) \(\chi_{7935}(886,\cdot)\) \(\chi_{7935}(901,\cdot)\) \(\chi_{7935}(946,\cdot)\) \(\chi_{7935}(961,\cdot)\) \(\chi_{7935}(991,\cdot)\) \(\chi_{7935}(1021,\cdot)\) \(\chi_{7935}(1051,\cdot)\) \(\chi_{7935}(1066,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{253})$ |
| Fixed field: | Number field defined by a degree 253 polynomial (not computed) |
Values on generators
\((5291,4762,7411)\) → \((1,1,e\left(\frac{147}{253}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 7935 }(16, a) \) | \(1\) | \(1\) | \(e\left(\frac{52}{253}\right)\) | \(e\left(\frac{104}{253}\right)\) | \(e\left(\frac{241}{253}\right)\) | \(e\left(\frac{156}{253}\right)\) | \(e\left(\frac{223}{253}\right)\) | \(e\left(\frac{100}{253}\right)\) | \(e\left(\frac{40}{253}\right)\) | \(e\left(\frac{208}{253}\right)\) | \(e\left(\frac{215}{253}\right)\) | \(e\left(\frac{236}{253}\right)\) |