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.jb
\(\chi_{6025}(13,\cdot)\) \(\chi_{6025}(137,\cdot)\) \(\chi_{6025}(142,\cdot)\) \(\chi_{6025}(398,\cdot)\) \(\chi_{6025}(758,\cdot)\) \(\chi_{6025}(837,\cdot)\) \(\chi_{6025}(927,\cdot)\) \(\chi_{6025}(978,\cdot)\) \(\chi_{6025}(1033,\cdot)\) \(\chi_{6025}(1048,\cdot)\) \(\chi_{6025}(1283,\cdot)\) \(\chi_{6025}(1378,\cdot)\) \(\chi_{6025}(1512,\cdot)\) \(\chi_{6025}(1577,\cdot)\) \(\chi_{6025}(1617,\cdot)\) \(\chi_{6025}(1758,\cdot)\) \(\chi_{6025}(1842,\cdot)\) \(\chi_{6025}(1862,\cdot)\) \(\chi_{6025}(1873,\cdot)\) \(\chi_{6025}(1877,\cdot)\) \(\chi_{6025}(1967,\cdot)\) \(\chi_{6025}(2023,\cdot)\) \(\chi_{6025}(2127,\cdot)\) \(\chi_{6025}(2452,\cdot)\) \(\chi_{6025}(2472,\cdot)\) \(\chi_{6025}(2478,\cdot)\) \(\chi_{6025}(2522,\cdot)\) \(\chi_{6025}(2537,\cdot)\) \(\chi_{6025}(2638,\cdot)\) \(\chi_{6025}(2702,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{1}{20}\right),e\left(\frac{53}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(2702, a) \) | \(1\) | \(1\) | \(e\left(\frac{1}{120}\right)\) | \(e\left(\frac{13}{24}\right)\) | \(e\left(\frac{1}{60}\right)\) | \(e\left(\frac{11}{20}\right)\) | \(e\left(\frac{113}{240}\right)\) | \(e\left(\frac{1}{40}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{77}{240}\right)\) | \(e\left(\frac{67}{120}\right)\) | \(e\left(\frac{79}{240}\right)\) |