Basic properties
| Modulus: | \(16335\) | |
| Conductor: | \(5445\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(660\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{5445}(4802,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | no | |
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 16335.fa
\(\chi_{16335}(8,\cdot)\) \(\chi_{16335}(17,\cdot)\) \(\chi_{16335}(62,\cdot)\) \(\chi_{16335}(332,\cdot)\) \(\chi_{16335}(413,\cdot)\) \(\chi_{16335}(503,\cdot)\) \(\chi_{16335}(557,\cdot)\) \(\chi_{16335}(827,\cdot)\) \(\chi_{16335}(908,\cdot)\) \(\chi_{16335}(953,\cdot)\) \(\chi_{16335}(1007,\cdot)\) \(\chi_{16335}(1097,\cdot)\) \(\chi_{16335}(1223,\cdot)\) \(\chi_{16335}(1448,\cdot)\) \(\chi_{16335}(1493,\cdot)\) \(\chi_{16335}(1502,\cdot)\) \(\chi_{16335}(1547,\cdot)\) \(\chi_{16335}(1718,\cdot)\) \(\chi_{16335}(1817,\cdot)\) \(\chi_{16335}(1898,\cdot)\) \(\chi_{16335}(1988,\cdot)\) \(\chi_{16335}(2042,\cdot)\) \(\chi_{16335}(2087,\cdot)\) \(\chi_{16335}(2312,\cdot)\) \(\chi_{16335}(2438,\cdot)\) \(\chi_{16335}(2492,\cdot)\) \(\chi_{16335}(2582,\cdot)\) \(\chi_{16335}(2708,\cdot)\) \(\chi_{16335}(2933,\cdot)\) \(\chi_{16335}(2978,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{660})$ |
| Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((3026,9802,3511)\) → \((e\left(\frac{5}{6}\right),i,e\left(\frac{29}{110}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) | \(23\) |
| \( \chi_{ 16335 }(2987, a) \) | \(-1\) | \(1\) | \(e\left(\frac{229}{660}\right)\) | \(e\left(\frac{229}{330}\right)\) | \(e\left(\frac{283}{660}\right)\) | \(e\left(\frac{9}{220}\right)\) | \(e\left(\frac{29}{660}\right)\) | \(e\left(\frac{128}{165}\right)\) | \(e\left(\frac{64}{165}\right)\) | \(e\left(\frac{147}{220}\right)\) | \(e\left(\frac{21}{55}\right)\) | \(e\left(\frac{49}{132}\right)\) |