Basic properties
| Modulus: | \(4928\) | |
| Conductor: | \(4928\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(240\) | 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.gd
\(\chi_{4928}(61,\cdot)\) \(\chi_{4928}(101,\cdot)\) \(\chi_{4928}(117,\cdot)\) \(\chi_{4928}(173,\cdot)\) \(\chi_{4928}(325,\cdot)\) \(\chi_{4928}(381,\cdot)\) \(\chi_{4928}(437,\cdot)\) \(\chi_{4928}(453,\cdot)\) \(\chi_{4928}(677,\cdot)\) \(\chi_{4928}(717,\cdot)\) \(\chi_{4928}(733,\cdot)\) \(\chi_{4928}(789,\cdot)\) \(\chi_{4928}(941,\cdot)\) \(\chi_{4928}(997,\cdot)\) \(\chi_{4928}(1053,\cdot)\) \(\chi_{4928}(1069,\cdot)\) \(\chi_{4928}(1293,\cdot)\) \(\chi_{4928}(1333,\cdot)\) \(\chi_{4928}(1349,\cdot)\) \(\chi_{4928}(1405,\cdot)\) \(\chi_{4928}(1557,\cdot)\) \(\chi_{4928}(1613,\cdot)\) \(\chi_{4928}(1669,\cdot)\) \(\chi_{4928}(1685,\cdot)\) \(\chi_{4928}(1909,\cdot)\) \(\chi_{4928}(1949,\cdot)\) \(\chi_{4928}(1965,\cdot)\) \(\chi_{4928}(2021,\cdot)\) \(\chi_{4928}(2173,\cdot)\) \(\chi_{4928}(2229,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{240})$ |
| Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((4159,1541,2817,3137)\) → \((1,e\left(\frac{3}{16}\right),e\left(\frac{5}{6}\right),e\left(\frac{9}{10}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(9\) | \(13\) | \(15\) | \(17\) | \(19\) | \(23\) | \(25\) | \(27\) |
| \( \chi_{ 4928 }(61, a) \) | \(1\) | \(1\) | \(e\left(\frac{143}{240}\right)\) | \(e\left(\frac{229}{240}\right)\) | \(e\left(\frac{23}{120}\right)\) | \(e\left(\frac{17}{80}\right)\) | \(e\left(\frac{11}{20}\right)\) | \(e\left(\frac{11}{60}\right)\) | \(e\left(\frac{43}{240}\right)\) | \(e\left(\frac{7}{24}\right)\) | \(e\left(\frac{109}{120}\right)\) | \(e\left(\frac{63}{80}\right)\) |