Basic properties
| Modulus: | \(7942\) | |
| Conductor: | \(3971\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(95\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{3971}(115,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 7942.bd
\(\chi_{7942}(115,\cdot)\) \(\chi_{7942}(191,\cdot)\) \(\chi_{7942}(229,\cdot)\) \(\chi_{7942}(267,\cdot)\) \(\chi_{7942}(533,\cdot)\) \(\chi_{7942}(609,\cdot)\) \(\chi_{7942}(647,\cdot)\) \(\chi_{7942}(685,\cdot)\) \(\chi_{7942}(951,\cdot)\) \(\chi_{7942}(1027,\cdot)\) \(\chi_{7942}(1065,\cdot)\) \(\chi_{7942}(1103,\cdot)\) \(\chi_{7942}(1369,\cdot)\) \(\chi_{7942}(1483,\cdot)\) \(\chi_{7942}(1521,\cdot)\) \(\chi_{7942}(1787,\cdot)\) \(\chi_{7942}(1863,\cdot)\) \(\chi_{7942}(1901,\cdot)\) \(\chi_{7942}(1939,\cdot)\) \(\chi_{7942}(2205,\cdot)\) \(\chi_{7942}(2281,\cdot)\) \(\chi_{7942}(2319,\cdot)\) \(\chi_{7942}(2357,\cdot)\) \(\chi_{7942}(2623,\cdot)\) \(\chi_{7942}(2699,\cdot)\) \(\chi_{7942}(2737,\cdot)\) \(\chi_{7942}(2775,\cdot)\) \(\chi_{7942}(3041,\cdot)\) \(\chi_{7942}(3117,\cdot)\) \(\chi_{7942}(3155,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{95})$ |
| Fixed field: | Number field defined by a degree 95 polynomial |
Values on generators
\((5777,6139)\) → \((e\left(\frac{2}{5}\right),e\left(\frac{2}{19}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(13\) | \(15\) | \(17\) | \(21\) | \(23\) | \(25\) |
| \( \chi_{ 7942 }(115, a) \) | \(1\) | \(1\) | \(e\left(\frac{79}{95}\right)\) | \(e\left(\frac{2}{95}\right)\) | \(e\left(\frac{56}{95}\right)\) | \(e\left(\frac{63}{95}\right)\) | \(e\left(\frac{3}{95}\right)\) | \(e\left(\frac{81}{95}\right)\) | \(e\left(\frac{37}{95}\right)\) | \(e\left(\frac{8}{19}\right)\) | \(e\left(\frac{7}{19}\right)\) | \(e\left(\frac{4}{95}\right)\) |