Basic properties
| Modulus: | \(5445\) | |
| Conductor: | \(5445\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(660\) | 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 5445.do
\(\chi_{5445}(38,\cdot)\) \(\chi_{5445}(47,\cdot)\) \(\chi_{5445}(92,\cdot)\) \(\chi_{5445}(113,\cdot)\) \(\chi_{5445}(137,\cdot)\) \(\chi_{5445}(158,\cdot)\) \(\chi_{5445}(203,\cdot)\) \(\chi_{5445}(212,\cdot)\) \(\chi_{5445}(218,\cdot)\) \(\chi_{5445}(257,\cdot)\) \(\chi_{5445}(302,\cdot)\) \(\chi_{5445}(317,\cdot)\) \(\chi_{5445}(383,\cdot)\) \(\chi_{5445}(443,\cdot)\) \(\chi_{5445}(482,\cdot)\) \(\chi_{5445}(488,\cdot)\) \(\chi_{5445}(533,\cdot)\) \(\chi_{5445}(542,\cdot)\) \(\chi_{5445}(587,\cdot)\) \(\chi_{5445}(653,\cdot)\) \(\chi_{5445}(698,\cdot)\) \(\chi_{5445}(707,\cdot)\) \(\chi_{5445}(713,\cdot)\) \(\chi_{5445}(752,\cdot)\) \(\chi_{5445}(797,\cdot)\) \(\chi_{5445}(812,\cdot)\) \(\chi_{5445}(878,\cdot)\) \(\chi_{5445}(938,\cdot)\) \(\chi_{5445}(983,\cdot)\) \(\chi_{5445}(1028,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{660})$ |
| Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((3026,4357,3511)\) → \((e\left(\frac{1}{6}\right),-i,e\left(\frac{42}{55}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) | \(23\) |
| \( \chi_{ 5445 }(38, a) \) | \(1\) | \(1\) | \(e\left(\frac{449}{660}\right)\) | \(e\left(\frac{119}{330}\right)\) | \(e\left(\frac{503}{660}\right)\) | \(e\left(\frac{9}{220}\right)\) | \(e\left(\frac{469}{660}\right)\) | \(e\left(\frac{73}{165}\right)\) | \(e\left(\frac{119}{165}\right)\) | \(e\left(\frac{147}{220}\right)\) | \(e\left(\frac{97}{110}\right)\) | \(e\left(\frac{71}{132}\right)\) |