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.jg
\(\chi_{6025}(14,\cdot)\) \(\chi_{6025}(104,\cdot)\) \(\chi_{6025}(254,\cdot)\) \(\chi_{6025}(414,\cdot)\) \(\chi_{6025}(489,\cdot)\) \(\chi_{6025}(519,\cdot)\) \(\chi_{6025}(684,\cdot)\) \(\chi_{6025}(689,\cdot)\) \(\chi_{6025}(809,\cdot)\) \(\chi_{6025}(869,\cdot)\) \(\chi_{6025}(1019,\cdot)\) \(\chi_{6025}(1034,\cdot)\) \(\chi_{6025}(1134,\cdot)\) \(\chi_{6025}(1239,\cdot)\) \(\chi_{6025}(1354,\cdot)\) \(\chi_{6025}(1439,\cdot)\) \(\chi_{6025}(1514,\cdot)\) \(\chi_{6025}(1609,\cdot)\) \(\chi_{6025}(1779,\cdot)\) \(\chi_{6025}(1844,\cdot)\) \(\chi_{6025}(1859,\cdot)\) \(\chi_{6025}(1914,\cdot)\) \(\chi_{6025}(2134,\cdot)\) \(\chi_{6025}(2494,\cdot)\) \(\chi_{6025}(2509,\cdot)\) \(\chi_{6025}(2539,\cdot)\) \(\chi_{6025}(2589,\cdot)\) \(\chi_{6025}(2879,\cdot)\) \(\chi_{6025}(3029,\cdot)\) \(\chi_{6025}(3034,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{240})$ |
| Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{3}{10}\right),e\left(\frac{191}{240}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
| \( \chi_{ 6025 }(14, a) \) | \(-1\) | \(1\) | \(e\left(\frac{61}{120}\right)\) | \(e\left(\frac{113}{120}\right)\) | \(e\left(\frac{1}{60}\right)\) | \(e\left(\frac{9}{20}\right)\) | \(e\left(\frac{71}{240}\right)\) | \(e\left(\frac{21}{40}\right)\) | \(e\left(\frac{53}{60}\right)\) | \(e\left(\frac{167}{240}\right)\) | \(e\left(\frac{23}{24}\right)\) | \(e\left(\frac{5}{48}\right)\) |