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.dr
\(\chi_{5445}(7,\cdot)\) \(\chi_{5445}(13,\cdot)\) \(\chi_{5445}(52,\cdot)\) \(\chi_{5445}(178,\cdot)\) \(\chi_{5445}(193,\cdot)\) \(\chi_{5445}(238,\cdot)\) \(\chi_{5445}(277,\cdot)\) \(\chi_{5445}(283,\cdot)\) \(\chi_{5445}(292,\cdot)\) \(\chi_{5445}(337,\cdot)\) \(\chi_{5445}(358,\cdot)\) \(\chi_{5445}(382,\cdot)\) \(\chi_{5445}(448,\cdot)\) \(\chi_{5445}(502,\cdot)\) \(\chi_{5445}(508,\cdot)\) \(\chi_{5445}(547,\cdot)\) \(\chi_{5445}(607,\cdot)\) \(\chi_{5445}(673,\cdot)\) \(\chi_{5445}(688,\cdot)\) \(\chi_{5445}(733,\cdot)\) \(\chi_{5445}(772,\cdot)\) \(\chi_{5445}(778,\cdot)\) \(\chi_{5445}(787,\cdot)\) \(\chi_{5445}(832,\cdot)\) \(\chi_{5445}(853,\cdot)\) \(\chi_{5445}(877,\cdot)\) \(\chi_{5445}(898,\cdot)\) \(\chi_{5445}(943,\cdot)\) \(\chi_{5445}(952,\cdot)\) \(\chi_{5445}(997,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{660})$ |
| Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((3026,4357,3511)\) → \((e\left(\frac{1}{3}\right),-i,e\left(\frac{101}{110}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) | \(23\) |
| \( \chi_{ 5445 }(13, a) \) | \(1\) | \(1\) | \(e\left(\frac{1}{660}\right)\) | \(e\left(\frac{1}{330}\right)\) | \(e\left(\frac{337}{660}\right)\) | \(e\left(\frac{1}{220}\right)\) | \(e\left(\frac{431}{660}\right)\) | \(e\left(\frac{169}{330}\right)\) | \(e\left(\frac{1}{165}\right)\) | \(e\left(\frac{163}{220}\right)\) | \(e\left(\frac{39}{55}\right)\) | \(e\left(\frac{25}{132}\right)\) |