Basic properties
| Modulus: | \(1425\) | |
| Conductor: | \(1425\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(180\) | 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 1425.cq
\(\chi_{1425}(2,\cdot)\) \(\chi_{1425}(53,\cdot)\) \(\chi_{1425}(98,\cdot)\) \(\chi_{1425}(128,\cdot)\) \(\chi_{1425}(167,\cdot)\) \(\chi_{1425}(173,\cdot)\) \(\chi_{1425}(203,\cdot)\) \(\chi_{1425}(212,\cdot)\) \(\chi_{1425}(242,\cdot)\) \(\chi_{1425}(287,\cdot)\) \(\chi_{1425}(317,\cdot)\) \(\chi_{1425}(338,\cdot)\) \(\chi_{1425}(383,\cdot)\) \(\chi_{1425}(413,\cdot)\) \(\chi_{1425}(428,\cdot)\) \(\chi_{1425}(452,\cdot)\) \(\chi_{1425}(458,\cdot)\) \(\chi_{1425}(488,\cdot)\) \(\chi_{1425}(497,\cdot)\) \(\chi_{1425}(527,\cdot)\) \(\chi_{1425}(542,\cdot)\) \(\chi_{1425}(572,\cdot)\) \(\chi_{1425}(602,\cdot)\) \(\chi_{1425}(623,\cdot)\) \(\chi_{1425}(698,\cdot)\) \(\chi_{1425}(713,\cdot)\) \(\chi_{1425}(737,\cdot)\) \(\chi_{1425}(773,\cdot)\) \(\chi_{1425}(812,\cdot)\) \(\chi_{1425}(827,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{180})$ |
| Fixed field: | Number field defined by a degree 180 polynomial (not computed) |
Values on generators
\((476,1027,1351)\) → \((-1,e\left(\frac{19}{20}\right),e\left(\frac{11}{18}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(22\) |
| \( \chi_{ 1425 }(338, a) \) | \(-1\) | \(1\) | \(e\left(\frac{11}{180}\right)\) | \(e\left(\frac{11}{90}\right)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{11}{60}\right)\) | \(e\left(\frac{1}{30}\right)\) | \(e\left(\frac{19}{180}\right)\) | \(e\left(\frac{43}{90}\right)\) | \(e\left(\frac{11}{45}\right)\) | \(e\left(\frac{173}{180}\right)\) | \(e\left(\frac{17}{180}\right)\) |