Basic properties
| Modulus: | \(4928\) | |
| Conductor: | \(4928\) | 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 4928.fm
\(\chi_{4928}(27,\cdot)\) \(\chi_{4928}(251,\cdot)\) \(\chi_{4928}(531,\cdot)\) \(\chi_{4928}(587,\cdot)\) \(\chi_{4928}(643,\cdot)\) \(\chi_{4928}(867,\cdot)\) \(\chi_{4928}(1147,\cdot)\) \(\chi_{4928}(1203,\cdot)\) \(\chi_{4928}(1259,\cdot)\) \(\chi_{4928}(1483,\cdot)\) \(\chi_{4928}(1763,\cdot)\) \(\chi_{4928}(1819,\cdot)\) \(\chi_{4928}(1875,\cdot)\) \(\chi_{4928}(2099,\cdot)\) \(\chi_{4928}(2379,\cdot)\) \(\chi_{4928}(2435,\cdot)\) \(\chi_{4928}(2491,\cdot)\) \(\chi_{4928}(2715,\cdot)\) \(\chi_{4928}(2995,\cdot)\) \(\chi_{4928}(3051,\cdot)\) \(\chi_{4928}(3107,\cdot)\) \(\chi_{4928}(3331,\cdot)\) \(\chi_{4928}(3611,\cdot)\) \(\chi_{4928}(3667,\cdot)\) \(\chi_{4928}(3723,\cdot)\) \(\chi_{4928}(3947,\cdot)\) \(\chi_{4928}(4227,\cdot)\) \(\chi_{4928}(4283,\cdot)\) \(\chi_{4928}(4339,\cdot)\) \(\chi_{4928}(4563,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{80})$ |
| Fixed field: | Number field defined by a degree 80 polynomial |
Values on generators
\((4159,1541,2817,3137)\) → \((-1,e\left(\frac{9}{16}\right),-1,e\left(\frac{2}{5}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(9\) | \(13\) | \(15\) | \(17\) | \(19\) | \(23\) | \(25\) | \(27\) |
| \( \chi_{ 4928 }(27, a) \) | \(1\) | \(1\) | \(e\left(\frac{71}{80}\right)\) | \(e\left(\frac{53}{80}\right)\) | \(e\left(\frac{31}{40}\right)\) | \(e\left(\frac{27}{80}\right)\) | \(e\left(\frac{11}{20}\right)\) | \(e\left(\frac{17}{20}\right)\) | \(e\left(\frac{11}{80}\right)\) | \(e\left(\frac{3}{8}\right)\) | \(e\left(\frac{13}{40}\right)\) | \(e\left(\frac{53}{80}\right)\) |