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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 2432.cj
\(\chi_{2432}(27,\cdot)\) \(\chi_{2432}(107,\cdot)\) \(\chi_{2432}(179,\cdot)\) \(\chi_{2432}(259,\cdot)\) \(\chi_{2432}(331,\cdot)\) \(\chi_{2432}(411,\cdot)\) \(\chi_{2432}(483,\cdot)\) \(\chi_{2432}(563,\cdot)\) \(\chi_{2432}(635,\cdot)\) \(\chi_{2432}(715,\cdot)\) \(\chi_{2432}(787,\cdot)\) \(\chi_{2432}(867,\cdot)\) \(\chi_{2432}(939,\cdot)\) \(\chi_{2432}(1019,\cdot)\) \(\chi_{2432}(1091,\cdot)\) \(\chi_{2432}(1171,\cdot)\) \(\chi_{2432}(1243,\cdot)\) \(\chi_{2432}(1323,\cdot)\) \(\chi_{2432}(1395,\cdot)\) \(\chi_{2432}(1475,\cdot)\) \(\chi_{2432}(1547,\cdot)\) \(\chi_{2432}(1627,\cdot)\) \(\chi_{2432}(1699,\cdot)\) \(\chi_{2432}(1779,\cdot)\) \(\chi_{2432}(1851,\cdot)\) \(\chi_{2432}(1931,\cdot)\) \(\chi_{2432}(2003,\cdot)\) \(\chi_{2432}(2083,\cdot)\) \(\chi_{2432}(2155,\cdot)\) \(\chi_{2432}(2235,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{96})$ |
| Fixed field: | Number field defined by a degree 96 polynomial |
Values on generators
\((1407,2053,1921)\) → \((-1,e\left(\frac{9}{32}\right),e\left(\frac{1}{6}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(21\) | \(23\) |
| \( \chi_{ 2432 }(27, a) \) | \(1\) | \(1\) | \(e\left(\frac{49}{96}\right)\) | \(e\left(\frac{91}{96}\right)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{1}{48}\right)\) | \(e\left(\frac{13}{32}\right)\) | \(e\left(\frac{5}{96}\right)\) | \(e\left(\frac{11}{24}\right)\) | \(e\left(\frac{13}{24}\right)\) | \(e\left(\frac{79}{96}\right)\) | \(e\left(\frac{37}{48}\right)\) |