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.ca
\(\chi_{2020}(3,\cdot)\) \(\chi_{2020}(27,\cdot)\) \(\chi_{2020}(83,\cdot)\) \(\chi_{2020}(103,\cdot)\) \(\chi_{2020}(127,\cdot)\) \(\chi_{2020}(147,\cdot)\) \(\chi_{2020}(167,\cdot)\) \(\chi_{2020}(187,\cdot)\) \(\chi_{2020}(263,\cdot)\) \(\chi_{2020}(463,\cdot)\) \(\chi_{2020}(467,\cdot)\) \(\chi_{2020}(543,\cdot)\) \(\chi_{2020}(547,\cdot)\) \(\chi_{2020}(747,\cdot)\) \(\chi_{2020}(823,\cdot)\) \(\chi_{2020}(843,\cdot)\) \(\chi_{2020}(863,\cdot)\) \(\chi_{2020}(883,\cdot)\) \(\chi_{2020}(907,\cdot)\) \(\chi_{2020}(927,\cdot)\) \(\chi_{2020}(983,\cdot)\) \(\chi_{2020}(1007,\cdot)\) \(\chi_{2020}(1083,\cdot)\) \(\chi_{2020}(1103,\cdot)\) \(\chi_{2020}(1183,\cdot)\) \(\chi_{2020}(1223,\cdot)\) \(\chi_{2020}(1347,\cdot)\) \(\chi_{2020}(1363,\cdot)\) \(\chi_{2020}(1407,\cdot)\) \(\chi_{2020}(1467,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{100})$ |
| Fixed field: | Number field defined by a degree 100 polynomial |
Values on generators
\((1011,1617,1921)\) → \((-1,-i,e\left(\frac{69}{100}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(7\) | \(9\) | \(11\) | \(13\) | \(17\) | \(19\) | \(21\) | \(23\) | \(27\) |
| \( \chi_{ 2020 }(3, a) \) | \(-1\) | \(1\) | \(e\left(\frac{9}{25}\right)\) | \(e\left(\frac{23}{50}\right)\) | \(e\left(\frac{18}{25}\right)\) | \(e\left(\frac{47}{100}\right)\) | \(e\left(\frac{79}{100}\right)\) | \(e\left(\frac{9}{20}\right)\) | \(e\left(\frac{6}{25}\right)\) | \(e\left(\frac{41}{50}\right)\) | \(e\left(\frac{9}{100}\right)\) | \(e\left(\frac{2}{25}\right)\) |