Basic properties
| Modulus: | \(935\) | |
| Conductor: | \(935\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(80\) | 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 935.cs
\(\chi_{935}(3,\cdot)\) \(\chi_{935}(27,\cdot)\) \(\chi_{935}(48,\cdot)\) \(\chi_{935}(92,\cdot)\) \(\chi_{935}(147,\cdot)\) \(\chi_{935}(148,\cdot)\) \(\chi_{935}(158,\cdot)\) \(\chi_{935}(218,\cdot)\) \(\chi_{935}(258,\cdot)\) \(\chi_{935}(262,\cdot)\) \(\chi_{935}(312,\cdot)\) \(\chi_{935}(317,\cdot)\) \(\chi_{935}(328,\cdot)\) \(\chi_{935}(367,\cdot)\) \(\chi_{935}(388,\cdot)\) \(\chi_{935}(432,\cdot)\) \(\chi_{935}(482,\cdot)\) \(\chi_{935}(487,\cdot)\) \(\chi_{935}(488,\cdot)\) \(\chi_{935}(498,\cdot)\) \(\chi_{935}(537,\cdot)\) \(\chi_{935}(598,\cdot)\) \(\chi_{935}(643,\cdot)\) \(\chi_{935}(652,\cdot)\) \(\chi_{935}(658,\cdot)\) \(\chi_{935}(687,\cdot)\) \(\chi_{935}(707,\cdot)\) \(\chi_{935}(742,\cdot)\) \(\chi_{935}(753,\cdot)\) \(\chi_{935}(768,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{80})$ |
| Fixed field: | Number field defined by a degree 80 polynomial |
Values on generators
\((562,596,496)\) → \((i,e\left(\frac{1}{5}\right),e\left(\frac{3}{16}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(13\) | \(14\) |
| \( \chi_{ 935 }(367, a) \) | \(1\) | \(1\) | \(e\left(\frac{3}{40}\right)\) | \(e\left(\frac{43}{80}\right)\) | \(e\left(\frac{3}{20}\right)\) | \(e\left(\frac{49}{80}\right)\) | \(e\left(\frac{57}{80}\right)\) | \(e\left(\frac{9}{40}\right)\) | \(e\left(\frac{3}{40}\right)\) | \(e\left(\frac{11}{16}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{63}{80}\right)\) |