Basic properties
| Modulus: | \(764\) | |
| Conductor: | \(764\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(190\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 764.o
\(\chi_{764}(3,\cdot)\) \(\chi_{764}(15,\cdot)\) \(\chi_{764}(23,\cdot)\) \(\chi_{764}(27,\cdot)\) \(\chi_{764}(43,\cdot)\) \(\chi_{764}(51,\cdot)\) \(\chi_{764}(59,\cdot)\) \(\chi_{764}(67,\cdot)\) \(\chi_{764}(75,\cdot)\) \(\chi_{764}(79,\cdot)\) \(\chi_{764}(103,\cdot)\) \(\chi_{764}(115,\cdot)\) \(\chi_{764}(135,\cdot)\) \(\chi_{764}(147,\cdot)\) \(\chi_{764}(163,\cdot)\) \(\chi_{764}(195,\cdot)\) \(\chi_{764}(199,\cdot)\) \(\chi_{764}(203,\cdot)\) \(\chi_{764}(207,\cdot)\) \(\chi_{764}(211,\cdot)\) \(\chi_{764}(215,\cdot)\) \(\chi_{764}(231,\cdot)\) \(\chi_{764}(239,\cdot)\) \(\chi_{764}(251,\cdot)\) \(\chi_{764}(255,\cdot)\) \(\chi_{764}(259,\cdot)\) \(\chi_{764}(263,\cdot)\) \(\chi_{764}(271,\cdot)\) \(\chi_{764}(283,\cdot)\) \(\chi_{764}(287,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{95})$ |
| Fixed field: | Number field defined by a degree 190 polynomial (not computed) |
Values on generators
\((383,401)\) → \((-1,e\left(\frac{67}{95}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 764 }(23, a) \) | \(-1\) | \(1\) | \(e\left(\frac{59}{190}\right)\) | \(e\left(\frac{5}{19}\right)\) | \(e\left(\frac{1}{10}\right)\) | \(e\left(\frac{59}{95}\right)\) | \(e\left(\frac{17}{38}\right)\) | \(e\left(\frac{94}{95}\right)\) | \(e\left(\frac{109}{190}\right)\) | \(e\left(\frac{11}{95}\right)\) | \(e\left(\frac{39}{190}\right)\) | \(e\left(\frac{39}{95}\right)\) |