Basic properties
Modulus: | \(6025\) | |
Conductor: | \(6025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(120\) | 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.ip
\(\chi_{6025}(2,\cdot)\) \(\chi_{6025}(113,\cdot)\) \(\chi_{6025}(128,\cdot)\) \(\chi_{6025}(603,\cdot)\) \(\chi_{6025}(962,\cdot)\) \(\chi_{6025}(1237,\cdot)\) \(\chi_{6025}(1333,\cdot)\) \(\chi_{6025}(1808,\cdot)\) \(\chi_{6025}(2048,\cdot)\) \(\chi_{6025}(2137,\cdot)\) \(\chi_{6025}(2167,\cdot)\) \(\chi_{6025}(2412,\cdot)\) \(\chi_{6025}(2442,\cdot)\) \(\chi_{6025}(2523,\cdot)\) \(\chi_{6025}(2538,\cdot)\) \(\chi_{6025}(3013,\cdot)\) \(\chi_{6025}(3253,\cdot)\) \(\chi_{6025}(3342,\cdot)\) \(\chi_{6025}(3372,\cdot)\) \(\chi_{6025}(3617,\cdot)\) \(\chi_{6025}(3647,\cdot)\) \(\chi_{6025}(3728,\cdot)\) \(\chi_{6025}(4458,\cdot)\) \(\chi_{6025}(4547,\cdot)\) \(\chi_{6025}(4577,\cdot)\) \(\chi_{6025}(4822,\cdot)\) \(\chi_{6025}(4852,\cdot)\) \(\chi_{6025}(4933,\cdot)\) \(\chi_{6025}(4948,\cdot)\) \(\chi_{6025}(5423,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{120})$ |
Fixed field: | Number field defined by a degree 120 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{17}{20}\right),e\left(\frac{19}{24}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(4822, a) \) | \(-1\) | \(1\) | \(e\left(\frac{4}{15}\right)\) | \(e\left(\frac{1}{30}\right)\) | \(e\left(\frac{8}{15}\right)\) | \(e\left(\frac{3}{10}\right)\) | \(e\left(\frac{1}{24}\right)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{1}{15}\right)\) | \(e\left(\frac{47}{120}\right)\) | \(e\left(\frac{17}{30}\right)\) | \(e\left(\frac{43}{120}\right)\) |