Basic properties
| Modulus: | \(2432\) | |
| Conductor: | \(2432\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(96\) | 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 2432.ci
\(\chi_{2432}(11,\cdot)\) \(\chi_{2432}(83,\cdot)\) \(\chi_{2432}(163,\cdot)\) \(\chi_{2432}(235,\cdot)\) \(\chi_{2432}(315,\cdot)\) \(\chi_{2432}(387,\cdot)\) \(\chi_{2432}(467,\cdot)\) \(\chi_{2432}(539,\cdot)\) \(\chi_{2432}(619,\cdot)\) \(\chi_{2432}(691,\cdot)\) \(\chi_{2432}(771,\cdot)\) \(\chi_{2432}(843,\cdot)\) \(\chi_{2432}(923,\cdot)\) \(\chi_{2432}(995,\cdot)\) \(\chi_{2432}(1075,\cdot)\) \(\chi_{2432}(1147,\cdot)\) \(\chi_{2432}(1227,\cdot)\) \(\chi_{2432}(1299,\cdot)\) \(\chi_{2432}(1379,\cdot)\) \(\chi_{2432}(1451,\cdot)\) \(\chi_{2432}(1531,\cdot)\) \(\chi_{2432}(1603,\cdot)\) \(\chi_{2432}(1683,\cdot)\) \(\chi_{2432}(1755,\cdot)\) \(\chi_{2432}(1835,\cdot)\) \(\chi_{2432}(1907,\cdot)\) \(\chi_{2432}(1987,\cdot)\) \(\chi_{2432}(2059,\cdot)\) \(\chi_{2432}(2139,\cdot)\) \(\chi_{2432}(2211,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{96})$ |
| Fixed field: | Number field defined by a degree 96 polynomial |
Values on generators
\((1407,2053,1921)\) → \((-1,e\left(\frac{21}{32}\right),e\left(\frac{2}{3}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(21\) | \(23\) |
| \( \chi_{ 2432 }(11, a) \) | \(-1\) | \(1\) | \(e\left(\frac{13}{96}\right)\) | \(e\left(\frac{31}{96}\right)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{13}{48}\right)\) | \(e\left(\frac{9}{32}\right)\) | \(e\left(\frac{17}{96}\right)\) | \(e\left(\frac{11}{24}\right)\) | \(e\left(\frac{1}{24}\right)\) | \(e\left(\frac{19}{96}\right)\) | \(e\left(\frac{1}{48}\right)\) |