Basic properties
Modulus: | \(8281\) | |
Conductor: | \(8281\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(182\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 8281.dp
\(\chi_{8281}(27,\cdot)\) \(\chi_{8281}(118,\cdot)\) \(\chi_{8281}(209,\cdot)\) \(\chi_{8281}(300,\cdot)\) \(\chi_{8281}(482,\cdot)\) \(\chi_{8281}(573,\cdot)\) \(\chi_{8281}(664,\cdot)\) \(\chi_{8281}(755,\cdot)\) \(\chi_{8281}(937,\cdot)\) \(\chi_{8281}(1119,\cdot)\) \(\chi_{8281}(1210,\cdot)\) \(\chi_{8281}(1301,\cdot)\) \(\chi_{8281}(1392,\cdot)\) \(\chi_{8281}(1483,\cdot)\) \(\chi_{8281}(1574,\cdot)\) \(\chi_{8281}(1756,\cdot)\) \(\chi_{8281}(1847,\cdot)\) \(\chi_{8281}(1938,\cdot)\) \(\chi_{8281}(2120,\cdot)\) \(\chi_{8281}(2211,\cdot)\) \(\chi_{8281}(2393,\cdot)\) \(\chi_{8281}(2484,\cdot)\) \(\chi_{8281}(2575,\cdot)\) \(\chi_{8281}(2666,\cdot)\) \(\chi_{8281}(2757,\cdot)\) \(\chi_{8281}(2848,\cdot)\) \(\chi_{8281}(3030,\cdot)\) \(\chi_{8281}(3121,\cdot)\) \(\chi_{8281}(3303,\cdot)\) \(\chi_{8281}(3394,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{91})$ |
Fixed field: | Number field defined by a degree 182 polynomial (not computed) |
Values on generators
\((1522,3382)\) → \((e\left(\frac{1}{14}\right),e\left(\frac{5}{13}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(8\) | \(9\) | \(10\) | \(11\) | \(12\) |
\( \chi_{ 8281 }(27, a) \) | \(-1\) | \(1\) | \(e\left(\frac{22}{91}\right)\) | \(e\left(\frac{139}{182}\right)\) | \(e\left(\frac{44}{91}\right)\) | \(e\left(\frac{97}{182}\right)\) | \(e\left(\frac{1}{182}\right)\) | \(e\left(\frac{66}{91}\right)\) | \(e\left(\frac{48}{91}\right)\) | \(e\left(\frac{141}{182}\right)\) | \(e\left(\frac{43}{91}\right)\) | \(e\left(\frac{45}{182}\right)\) |