Basic properties
| Modulus: | \(7935\) | |
| Conductor: | \(7935\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(506\) | 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.br
\(\chi_{7935}(14,\cdot)\) \(\chi_{7935}(44,\cdot)\) \(\chi_{7935}(74,\cdot)\) \(\chi_{7935}(89,\cdot)\) \(\chi_{7935}(134,\cdot)\) \(\chi_{7935}(149,\cdot)\) \(\chi_{7935}(194,\cdot)\) \(\chi_{7935}(224,\cdot)\) \(\chi_{7935}(314,\cdot)\) \(\chi_{7935}(329,\cdot)\) \(\chi_{7935}(389,\cdot)\) \(\chi_{7935}(419,\cdot)\) \(\chi_{7935}(434,\cdot)\) \(\chi_{7935}(479,\cdot)\) \(\chi_{7935}(494,\cdot)\) \(\chi_{7935}(539,\cdot)\) \(\chi_{7935}(569,\cdot)\) \(\chi_{7935}(674,\cdot)\) \(\chi_{7935}(704,\cdot)\) \(\chi_{7935}(734,\cdot)\) \(\chi_{7935}(764,\cdot)\) \(\chi_{7935}(779,\cdot)\) \(\chi_{7935}(824,\cdot)\) \(\chi_{7935}(839,\cdot)\) \(\chi_{7935}(884,\cdot)\) \(\chi_{7935}(914,\cdot)\) \(\chi_{7935}(1004,\cdot)\) \(\chi_{7935}(1019,\cdot)\) \(\chi_{7935}(1049,\cdot)\) \(\chi_{7935}(1079,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{253})$ |
| Fixed field: | Number field defined by a degree 506 polynomial (not computed) |
Values on generators
\((5291,4762,7411)\) → \((-1,-1,e\left(\frac{329}{506}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 7935 }(14, a) \) | \(1\) | \(1\) | \(e\left(\frac{10}{253}\right)\) | \(e\left(\frac{20}{253}\right)\) | \(e\left(\frac{95}{253}\right)\) | \(e\left(\frac{30}{253}\right)\) | \(e\left(\frac{111}{253}\right)\) | \(e\left(\frac{19}{506}\right)\) | \(e\left(\frac{105}{253}\right)\) | \(e\left(\frac{40}{253}\right)\) | \(e\left(\frac{433}{506}\right)\) | \(e\left(\frac{227}{506}\right)\) |