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 \(\chi_{5445}(2,\cdot)\) | 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
\((3026,9802,3511)\) → \((e\left(\frac{1}{6}\right),i,e\left(\frac{1}{110}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) | \(23\) |
\( \chi_{ 16335 }(1817, a) \) | \(-1\) | \(1\) | \(e\left(\frac{281}{660}\right)\) | \(e\left(\frac{281}{330}\right)\) | \(e\left(\frac{647}{660}\right)\) | \(e\left(\frac{61}{220}\right)\) | \(e\left(\frac{1}{660}\right)\) | \(e\left(\frac{67}{165}\right)\) | \(e\left(\frac{116}{165}\right)\) | \(e\left(\frac{43}{220}\right)\) | \(e\left(\frac{14}{55}\right)\) | \(e\left(\frac{29}{132}\right)\) |