Basic properties
Modulus: | \(6025\) | |
Conductor: | \(6025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(120\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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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.ih
\(\chi_{6025}(164,\cdot)\) \(\chi_{6025}(229,\cdot)\) \(\chi_{6025}(259,\cdot)\) \(\chi_{6025}(479,\cdot)\) \(\chi_{6025}(914,\cdot)\) \(\chi_{6025}(944,\cdot)\) \(\chi_{6025}(1014,\cdot)\) \(\chi_{6025}(1044,\cdot)\) \(\chi_{6025}(1234,\cdot)\) \(\chi_{6025}(1254,\cdot)\) \(\chi_{6025}(1634,\cdot)\) \(\chi_{6025}(1759,\cdot)\) \(\chi_{6025}(1764,\cdot)\) \(\chi_{6025}(1869,\cdot)\) \(\chi_{6025}(1879,\cdot)\) \(\chi_{6025}(2094,\cdot)\) \(\chi_{6025}(2244,\cdot)\) \(\chi_{6025}(2469,\cdot)\) \(\chi_{6025}(2654,\cdot)\) \(\chi_{6025}(2904,\cdot)\) \(\chi_{6025}(3294,\cdot)\) \(\chi_{6025}(3329,\cdot)\) \(\chi_{6025}(3394,\cdot)\) \(\chi_{6025}(3784,\cdot)\) \(\chi_{6025}(3789,\cdot)\) \(\chi_{6025}(3909,\cdot)\) \(\chi_{6025}(3964,\cdot)\) \(\chi_{6025}(3989,\cdot)\) \(\chi_{6025}(4164,\cdot)\) \(\chi_{6025}(4309,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{120})$ |
Fixed field: | Number field defined by a degree 120 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{7}{10}\right),e\left(\frac{7}{120}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(1634, a) \) | \(1\) | \(1\) | \(e\left(\frac{47}{60}\right)\) | \(e\left(\frac{31}{60}\right)\) | \(e\left(\frac{17}{30}\right)\) | \(e\left(\frac{3}{10}\right)\) | \(e\left(\frac{67}{120}\right)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{1}{30}\right)\) | \(e\left(\frac{79}{120}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{24}\right)\) |