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.ix
\(\chi_{6025}(37,\cdot)\) \(\chi_{6025}(78,\cdot)\) \(\chi_{6025}(127,\cdot)\) \(\chi_{6025}(373,\cdot)\) \(\chi_{6025}(553,\cdot)\) \(\chi_{6025}(822,\cdot)\) \(\chi_{6025}(827,\cdot)\) \(\chi_{6025}(908,\cdot)\) \(\chi_{6025}(933,\cdot)\) \(\chi_{6025}(1038,\cdot)\) \(\chi_{6025}(1073,\cdot)\) \(\chi_{6025}(1267,\cdot)\) \(\chi_{6025}(1317,\cdot)\) \(\chi_{6025}(1347,\cdot)\) \(\chi_{6025}(1498,\cdot)\) \(\chi_{6025}(1613,\cdot)\) \(\chi_{6025}(2077,\cdot)\) \(\chi_{6025}(2123,\cdot)\) \(\chi_{6025}(2183,\cdot)\) \(\chi_{6025}(2417,\cdot)\) \(\chi_{6025}(2423,\cdot)\) \(\chi_{6025}(2502,\cdot)\) \(\chi_{6025}(2583,\cdot)\) \(\chi_{6025}(2617,\cdot)\) \(\chi_{6025}(2822,\cdot)\) \(\chi_{6025}(3038,\cdot)\) \(\chi_{6025}(3047,\cdot)\) \(\chi_{6025}(3167,\cdot)\) \(\chi_{6025}(3172,\cdot)\) \(\chi_{6025}(3188,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{1}{20}\right),e\left(\frac{77}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(2077, a) \) | \(1\) | \(1\) | \(e\left(\frac{1}{120}\right)\) | \(e\left(\frac{89}{120}\right)\) | \(e\left(\frac{1}{60}\right)\) | \(-i\) | \(e\left(\frac{137}{240}\right)\) | \(e\left(\frac{1}{40}\right)\) | \(e\left(\frac{29}{60}\right)\) | \(e\left(\frac{197}{240}\right)\) | \(e\left(\frac{91}{120}\right)\) | \(e\left(\frac{7}{240}\right)\) |