Basic properties
Modulus: | \(6025\) | |
Conductor: | \(6025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(80\) | 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.hq
\(\chi_{6025}(567,\cdot)\) \(\chi_{6025}(583,\cdot)\) \(\chi_{6025}(987,\cdot)\) \(\chi_{6025}(1067,\cdot)\) \(\chi_{6025}(1238,\cdot)\) \(\chi_{6025}(1413,\cdot)\) \(\chi_{6025}(1548,\cdot)\) \(\chi_{6025}(2148,\cdot)\) \(\chi_{6025}(2197,\cdot)\) \(\chi_{6025}(2387,\cdot)\) \(\chi_{6025}(2608,\cdot)\) \(\chi_{6025}(2997,\cdot)\) \(\chi_{6025}(3658,\cdot)\) \(\chi_{6025}(3913,\cdot)\) \(\chi_{6025}(4312,\cdot)\) \(\chi_{6025}(4652,\cdot)\) \(\chi_{6025}(4703,\cdot)\) \(\chi_{6025}(4717,\cdot)\) \(\chi_{6025}(4727,\cdot)\) \(\chi_{6025}(4763,\cdot)\) \(\chi_{6025}(4803,\cdot)\) \(\chi_{6025}(5078,\cdot)\) \(\chi_{6025}(5087,\cdot)\) \(\chi_{6025}(5178,\cdot)\) \(\chi_{6025}(5197,\cdot)\) \(\chi_{6025}(5217,\cdot)\) \(\chi_{6025}(5323,\cdot)\) \(\chi_{6025}(5683,\cdot)\) \(\chi_{6025}(5877,\cdot)\) \(\chi_{6025}(5923,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{80})$ |
Fixed field: | Number field defined by a degree 80 polynomial |
Values on generators
\((2652,2176)\) → \((e\left(\frac{11}{20}\right),e\left(\frac{61}{80}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(5323, a) \) | \(1\) | \(1\) | \(e\left(\frac{17}{40}\right)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{17}{20}\right)\) | \(e\left(\frac{1}{20}\right)\) | \(e\left(\frac{41}{80}\right)\) | \(e\left(\frac{11}{40}\right)\) | \(i\) | \(e\left(\frac{69}{80}\right)\) | \(e\left(\frac{19}{40}\right)\) | \(e\left(\frac{23}{80}\right)\) |