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: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6025.je
\(\chi_{6025}(31,\cdot)\) \(\chi_{6025}(56,\cdot)\) \(\chi_{6025}(71,\cdot)\) \(\chi_{6025}(171,\cdot)\) \(\chi_{6025}(396,\cdot)\) \(\chi_{6025}(436,\cdot)\) \(\chi_{6025}(521,\cdot)\) \(\chi_{6025}(566,\cdot)\) \(\chi_{6025}(586,\cdot)\) \(\chi_{6025}(736,\cdot)\) \(\chi_{6025}(1391,\cdot)\) \(\chi_{6025}(1541,\cdot)\) \(\chi_{6025}(1631,\cdot)\) \(\chi_{6025}(1656,\cdot)\) \(\chi_{6025}(1836,\cdot)\) \(\chi_{6025}(1891,\cdot)\) \(\chi_{6025}(2231,\cdot)\) \(\chi_{6025}(2261,\cdot)\) \(\chi_{6025}(2281,\cdot)\) \(\chi_{6025}(2371,\cdot)\) \(\chi_{6025}(2496,\cdot)\) \(\chi_{6025}(2541,\cdot)\) \(\chi_{6025}(2721,\cdot)\) \(\chi_{6025}(2821,\cdot)\) \(\chi_{6025}(2841,\cdot)\) \(\chi_{6025}(2906,\cdot)\) \(\chi_{6025}(2966,\cdot)\) \(\chi_{6025}(3091,\cdot)\) \(\chi_{6025}(3296,\cdot)\) \(\chi_{6025}(3306,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{240})$ |
| Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{2}{5}\right),e\left(\frac{151}{240}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
| \( \chi_{ 6025 }(31, a) \) | \(-1\) | \(1\) | \(e\left(\frac{113}{120}\right)\) | \(e\left(\frac{37}{120}\right)\) | \(e\left(\frac{53}{60}\right)\) | \(i\) | \(e\left(\frac{151}{240}\right)\) | \(e\left(\frac{33}{40}\right)\) | \(e\left(\frac{37}{60}\right)\) | \(e\left(\frac{31}{240}\right)\) | \(e\left(\frac{23}{120}\right)\) | \(e\left(\frac{41}{240}\right)\) |