Basic properties
Modulus: | \(7942\) | |
Conductor: | \(3971\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(190\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{3971}(151,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 7942.bi
\(\chi_{7942}(151,\cdot)\) \(\chi_{7942}(189,\cdot)\) \(\chi_{7942}(227,\cdot)\) \(\chi_{7942}(303,\cdot)\) \(\chi_{7942}(569,\cdot)\) \(\chi_{7942}(607,\cdot)\) \(\chi_{7942}(645,\cdot)\) \(\chi_{7942}(987,\cdot)\) \(\chi_{7942}(1025,\cdot)\) \(\chi_{7942}(1063,\cdot)\) \(\chi_{7942}(1139,\cdot)\) \(\chi_{7942}(1405,\cdot)\) \(\chi_{7942}(1481,\cdot)\) \(\chi_{7942}(1557,\cdot)\) \(\chi_{7942}(1823,\cdot)\) \(\chi_{7942}(1861,\cdot)\) \(\chi_{7942}(1899,\cdot)\) \(\chi_{7942}(1975,\cdot)\) \(\chi_{7942}(2241,\cdot)\) \(\chi_{7942}(2279,\cdot)\) \(\chi_{7942}(2317,\cdot)\) \(\chi_{7942}(2393,\cdot)\) \(\chi_{7942}(2659,\cdot)\) \(\chi_{7942}(2697,\cdot)\) \(\chi_{7942}(2735,\cdot)\) \(\chi_{7942}(2811,\cdot)\) \(\chi_{7942}(3077,\cdot)\) \(\chi_{7942}(3115,\cdot)\) \(\chi_{7942}(3153,\cdot)\) \(\chi_{7942}(3229,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{95})$ |
Fixed field: | Number field defined by a degree 190 polynomial (not computed) |
Values on generators
\((5777,6139)\) → \((e\left(\frac{3}{10}\right),e\left(\frac{1}{38}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(13\) | \(15\) | \(17\) | \(21\) | \(23\) | \(25\) |
\( \chi_{ 7942 }(151, a) \) | \(1\) | \(1\) | \(e\left(\frac{11}{190}\right)\) | \(e\left(\frac{29}{95}\right)\) | \(e\left(\frac{9}{190}\right)\) | \(e\left(\frac{11}{95}\right)\) | \(e\left(\frac{91}{95}\right)\) | \(e\left(\frac{69}{190}\right)\) | \(e\left(\frac{123}{190}\right)\) | \(e\left(\frac{2}{19}\right)\) | \(e\left(\frac{16}{19}\right)\) | \(e\left(\frac{58}{95}\right)\) |