Basic properties
Modulus: | \(16335\) | |
Conductor: | \(3267\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(990\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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Real: | no | |
Primitive: | no, induced from \(\chi_{3267}(41,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 16335.fe
\(\chi_{16335}(41,\cdot)\) \(\chi_{16335}(101,\cdot)\) \(\chi_{16335}(266,\cdot)\) \(\chi_{16335}(281,\cdot)\) \(\chi_{16335}(326,\cdot)\) \(\chi_{16335}(371,\cdot)\) \(\chi_{16335}(446,\cdot)\) \(\chi_{16335}(491,\cdot)\) \(\chi_{16335}(536,\cdot)\) \(\chi_{16335}(761,\cdot)\) \(\chi_{16335}(776,\cdot)\) \(\chi_{16335}(821,\cdot)\) \(\chi_{16335}(866,\cdot)\) \(\chi_{16335}(986,\cdot)\) \(\chi_{16335}(1031,\cdot)\) \(\chi_{16335}(1091,\cdot)\) \(\chi_{16335}(1256,\cdot)\) \(\chi_{16335}(1271,\cdot)\) \(\chi_{16335}(1316,\cdot)\) \(\chi_{16335}(1361,\cdot)\) \(\chi_{16335}(1436,\cdot)\) \(\chi_{16335}(1481,\cdot)\) \(\chi_{16335}(1526,\cdot)\)
Related number fields
Field of values: | $\Q(\zeta_{495})$ |
Fixed field: | Number field defined by a degree 990 polynomial (not computed) |
Values on generators
\((3026,9802,3511)\) → \((e\left(\frac{17}{18}\right),1,e\left(\frac{23}{110}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) | \(23\) |
\( \chi_{ 16335 }(41, a) \) | \(1\) | \(1\) | \(e\left(\frac{76}{495}\right)\) | \(e\left(\frac{152}{495}\right)\) | \(e\left(\frac{569}{990}\right)\) | \(e\left(\frac{76}{165}\right)\) | \(e\left(\frac{667}{990}\right)\) | \(e\left(\frac{721}{990}\right)\) | \(e\left(\frac{304}{495}\right)\) | \(e\left(\frac{68}{165}\right)\) | \(e\left(\frac{227}{330}\right)\) | \(e\left(\frac{5}{198}\right)\) |