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.ck
\(\chi_{2432}(45,\cdot)\) \(\chi_{2432}(125,\cdot)\) \(\chi_{2432}(197,\cdot)\) \(\chi_{2432}(277,\cdot)\) \(\chi_{2432}(349,\cdot)\) \(\chi_{2432}(429,\cdot)\) \(\chi_{2432}(501,\cdot)\) \(\chi_{2432}(581,\cdot)\) \(\chi_{2432}(653,\cdot)\) \(\chi_{2432}(733,\cdot)\) \(\chi_{2432}(805,\cdot)\) \(\chi_{2432}(885,\cdot)\) \(\chi_{2432}(957,\cdot)\) \(\chi_{2432}(1037,\cdot)\) \(\chi_{2432}(1109,\cdot)\) \(\chi_{2432}(1189,\cdot)\) \(\chi_{2432}(1261,\cdot)\) \(\chi_{2432}(1341,\cdot)\) \(\chi_{2432}(1413,\cdot)\) \(\chi_{2432}(1493,\cdot)\) \(\chi_{2432}(1565,\cdot)\) \(\chi_{2432}(1645,\cdot)\) \(\chi_{2432}(1717,\cdot)\) \(\chi_{2432}(1797,\cdot)\) \(\chi_{2432}(1869,\cdot)\) \(\chi_{2432}(1949,\cdot)\) \(\chi_{2432}(2021,\cdot)\) \(\chi_{2432}(2101,\cdot)\) \(\chi_{2432}(2173,\cdot)\) \(\chi_{2432}(2253,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{96})$ |
| Fixed field: | Number field defined by a degree 96 polynomial |
Values on generators
\((1407,2053,1921)\) → \((1,e\left(\frac{7}{32}\right),e\left(\frac{1}{3}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(21\) | \(23\) |
| \( \chi_{ 2432 }(45, a) \) | \(1\) | \(1\) | \(e\left(\frac{95}{96}\right)\) | \(e\left(\frac{53}{96}\right)\) | \(e\left(\frac{3}{16}\right)\) | \(e\left(\frac{47}{48}\right)\) | \(e\left(\frac{19}{32}\right)\) | \(e\left(\frac{91}{96}\right)\) | \(e\left(\frac{13}{24}\right)\) | \(e\left(\frac{11}{24}\right)\) | \(e\left(\frac{17}{96}\right)\) | \(e\left(\frac{35}{48}\right)\) |