Basic properties
| Modulus: | \(2020\) | |
| Conductor: | \(2020\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(100\) | 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 2020.cd
\(\chi_{2020}(7,\cdot)\) \(\chi_{2020}(63,\cdot)\) \(\chi_{2020}(67,\cdot)\) \(\chi_{2020}(143,\cdot)\) \(\chi_{2020}(343,\cdot)\) \(\chi_{2020}(407,\cdot)\) \(\chi_{2020}(487,\cdot)\) \(\chi_{2020}(503,\cdot)\) \(\chi_{2020}(507,\cdot)\) \(\chi_{2020}(523,\cdot)\) \(\chi_{2020}(603,\cdot)\) \(\chi_{2020}(667,\cdot)\) \(\chi_{2020}(867,\cdot)\) \(\chi_{2020}(943,\cdot)\) \(\chi_{2020}(947,\cdot)\) \(\chi_{2020}(1003,\cdot)\) \(\chi_{2020}(1063,\cdot)\) \(\chi_{2020}(1123,\cdot)\) \(\chi_{2020}(1227,\cdot)\) \(\chi_{2020}(1247,\cdot)\) \(\chi_{2020}(1263,\cdot)\) \(\chi_{2020}(1267,\cdot)\) \(\chi_{2020}(1287,\cdot)\) \(\chi_{2020}(1387,\cdot)\) \(\chi_{2020}(1403,\cdot)\) \(\chi_{2020}(1443,\cdot)\) \(\chi_{2020}(1487,\cdot)\) \(\chi_{2020}(1507,\cdot)\) \(\chi_{2020}(1523,\cdot)\) \(\chi_{2020}(1543,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{100})$ |
| Fixed field: | Number field defined by a degree 100 polynomial |
Values on generators
\((1011,1617,1921)\) → \((-1,i,e\left(\frac{9}{100}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(7\) | \(9\) | \(11\) | \(13\) | \(17\) | \(19\) | \(21\) | \(23\) | \(27\) |
| \( \chi_{ 2020 }(7, a) \) | \(-1\) | \(1\) | \(e\left(\frac{23}{50}\right)\) | \(e\left(\frac{14}{25}\right)\) | \(e\left(\frac{23}{25}\right)\) | \(e\left(\frac{67}{100}\right)\) | \(e\left(\frac{69}{100}\right)\) | \(e\left(\frac{19}{20}\right)\) | \(e\left(\frac{16}{25}\right)\) | \(e\left(\frac{1}{50}\right)\) | \(e\left(\frac{99}{100}\right)\) | \(e\left(\frac{19}{50}\right)\) |