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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6025.id
\(\chi_{6025}(166,\cdot)\) \(\chi_{6025}(286,\cdot)\) \(\chi_{6025}(316,\cdot)\) \(\chi_{6025}(541,\cdot)\) \(\chi_{6025}(656,\cdot)\) \(\chi_{6025}(711,\cdot)\) \(\chi_{6025}(831,\cdot)\) \(\chi_{6025}(856,\cdot)\) \(\chi_{6025}(946,\cdot)\) \(\chi_{6025}(961,\cdot)\) \(\chi_{6025}(1031,\cdot)\) \(\chi_{6025}(1366,\cdot)\) \(\chi_{6025}(1466,\cdot)\) \(\chi_{6025}(1736,\cdot)\) \(\chi_{6025}(1946,\cdot)\) \(\chi_{6025}(2361,\cdot)\) \(\chi_{6025}(2921,\cdot)\) \(\chi_{6025}(3056,\cdot)\) \(\chi_{6025}(3136,\cdot)\) \(\chi_{6025}(3321,\cdot)\) \(\chi_{6025}(3386,\cdot)\) \(\chi_{6025}(3446,\cdot)\) \(\chi_{6025}(3806,\cdot)\) \(\chi_{6025}(3811,\cdot)\) \(\chi_{6025}(3906,\cdot)\) \(\chi_{6025}(4656,\cdot)\) \(\chi_{6025}(5041,\cdot)\) \(\chi_{6025}(5141,\cdot)\) \(\chi_{6025}(5471,\cdot)\) \(\chi_{6025}(5596,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{120})$ |
Fixed field: | Number field defined by a degree 120 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{1}{5}\right),e\left(\frac{59}{120}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(541, a) \) | \(1\) | \(1\) | \(e\left(\frac{37}{60}\right)\) | \(e\left(\frac{53}{60}\right)\) | \(e\left(\frac{7}{30}\right)\) | \(-1\) | \(e\left(\frac{59}{120}\right)\) | \(e\left(\frac{17}{20}\right)\) | \(e\left(\frac{23}{30}\right)\) | \(e\left(\frac{59}{120}\right)\) | \(e\left(\frac{7}{60}\right)\) | \(e\left(\frac{109}{120}\right)\) |