Basic properties
| Modulus: | \(5288\) | |
| Conductor: | \(5288\) | 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 5288.dq
\(\chi_{5288}(35,\cdot)\) \(\chi_{5288}(115,\cdot)\) \(\chi_{5288}(131,\cdot)\) \(\chi_{5288}(195,\cdot)\) \(\chi_{5288}(211,\cdot)\) \(\chi_{5288}(251,\cdot)\) \(\chi_{5288}(307,\cdot)\) \(\chi_{5288}(315,\cdot)\) \(\chi_{5288}(323,\cdot)\) \(\chi_{5288}(331,\cdot)\) \(\chi_{5288}(347,\cdot)\) \(\chi_{5288}(355,\cdot)\) \(\chi_{5288}(371,\cdot)\) \(\chi_{5288}(419,\cdot)\) \(\chi_{5288}(467,\cdot)\) \(\chi_{5288}(491,\cdot)\) \(\chi_{5288}(499,\cdot)\) \(\chi_{5288}(563,\cdot)\) \(\chi_{5288}(627,\cdot)\) \(\chi_{5288}(643,\cdot)\) \(\chi_{5288}(659,\cdot)\) \(\chi_{5288}(667,\cdot)\) \(\chi_{5288}(715,\cdot)\) \(\chi_{5288}(763,\cdot)\) \(\chi_{5288}(771,\cdot)\) \(\chi_{5288}(779,\cdot)\) \(\chi_{5288}(811,\cdot)\) \(\chi_{5288}(843,\cdot)\) \(\chi_{5288}(955,\cdot)\) \(\chi_{5288}(987,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{660})$ |
| Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((3967,2645,1985)\) → \((-1,-1,e\left(\frac{367}{660}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 5288 }(4955, a) \) | \(1\) | \(1\) | \(e\left(\frac{21}{22}\right)\) | \(e\left(\frac{104}{165}\right)\) | \(e\left(\frac{3}{44}\right)\) | \(e\left(\frac{10}{11}\right)\) | \(e\left(\frac{10}{33}\right)\) | \(e\left(\frac{107}{220}\right)\) | \(e\left(\frac{193}{330}\right)\) | \(e\left(\frac{203}{330}\right)\) | \(e\left(\frac{91}{220}\right)\) | \(e\left(\frac{1}{44}\right)\) |