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.il
\(\chi_{6025}(161,\cdot)\) \(\chi_{6025}(261,\cdot)\) \(\chi_{6025}(646,\cdot)\) \(\chi_{6025}(1396,\cdot)\) \(\chi_{6025}(1491,\cdot)\) \(\chi_{6025}(1496,\cdot)\) \(\chi_{6025}(1856,\cdot)\) \(\chi_{6025}(1916,\cdot)\) \(\chi_{6025}(1981,\cdot)\) \(\chi_{6025}(2166,\cdot)\) \(\chi_{6025}(2246,\cdot)\) \(\chi_{6025}(2381,\cdot)\) \(\chi_{6025}(2941,\cdot)\) \(\chi_{6025}(3356,\cdot)\) \(\chi_{6025}(3566,\cdot)\) \(\chi_{6025}(3836,\cdot)\) \(\chi_{6025}(3936,\cdot)\) \(\chi_{6025}(4271,\cdot)\) \(\chi_{6025}(4341,\cdot)\) \(\chi_{6025}(4356,\cdot)\) \(\chi_{6025}(4446,\cdot)\) \(\chi_{6025}(4471,\cdot)\) \(\chi_{6025}(4591,\cdot)\) \(\chi_{6025}(4646,\cdot)\) \(\chi_{6025}(4761,\cdot)\) \(\chi_{6025}(4986,\cdot)\) \(\chi_{6025}(5016,\cdot)\) \(\chi_{6025}(5136,\cdot)\) \(\chi_{6025}(5331,\cdot)\) \(\chi_{6025}(5361,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{120})$ |
Fixed field: | Number field defined by a degree 120 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{1}{5}\right),e\left(\frac{31}{120}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(2166, a) \) | \(1\) | \(1\) | \(e\left(\frac{17}{60}\right)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{17}{30}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{31}{120}\right)\) | \(e\left(\frac{17}{20}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{79}{120}\right)\) | \(e\left(\frac{59}{60}\right)\) | \(e\left(\frac{113}{120}\right)\) |