Basic properties
| Modulus: | \(6025\) | |
| Conductor: | \(6025\) | 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 6025.jn
\(\chi_{6025}(22,\cdot)\) \(\chi_{6025}(63,\cdot)\) \(\chi_{6025}(152,\cdot)\) \(\chi_{6025}(178,\cdot)\) \(\chi_{6025}(463,\cdot)\) \(\chi_{6025}(658,\cdot)\) \(\chi_{6025}(788,\cdot)\) \(\chi_{6025}(812,\cdot)\) \(\chi_{6025}(942,\cdot)\) \(\chi_{6025}(953,\cdot)\) \(\chi_{6025}(983,\cdot)\) \(\chi_{6025}(1002,\cdot)\) \(\chi_{6025}(1052,\cdot)\) \(\chi_{6025}(1117,\cdot)\) \(\chi_{6025}(1167,\cdot)\) \(\chi_{6025}(1227,\cdot)\) \(\chi_{6025}(1383,\cdot)\) \(\chi_{6025}(1698,\cdot)\) \(\chi_{6025}(1863,\cdot)\) \(\chi_{6025}(2017,\cdot)\) \(\chi_{6025}(2147,\cdot)\) \(\chi_{6025}(2158,\cdot)\) \(\chi_{6025}(2188,\cdot)\) \(\chi_{6025}(2322,\cdot)\) \(\chi_{6025}(2372,\cdot)\) \(\chi_{6025}(2473,\cdot)\) \(\chi_{6025}(2562,\cdot)\) \(\chi_{6025}(2588,\cdot)\) \(\chi_{6025}(2873,\cdot)\) \(\chi_{6025}(2903,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{240})$ |
| Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{13}{20}\right),e\left(\frac{47}{48}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
| \( \chi_{ 6025 }(1117, a) \) | \(1\) | \(1\) | \(e\left(\frac{83}{120}\right)\) | \(e\left(\frac{91}{120}\right)\) | \(e\left(\frac{23}{60}\right)\) | \(e\left(\frac{9}{20}\right)\) | \(e\left(\frac{11}{48}\right)\) | \(e\left(\frac{3}{40}\right)\) | \(e\left(\frac{31}{60}\right)\) | \(e\left(\frac{211}{240}\right)\) | \(e\left(\frac{17}{120}\right)\) | \(e\left(\frac{89}{240}\right)\) |