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.ij
\(\chi_{6025}(191,\cdot)\) \(\chi_{6025}(221,\cdot)\) \(\chi_{6025}(291,\cdot)\) \(\chi_{6025}(321,\cdot)\) \(\chi_{6025}(511,\cdot)\) \(\chi_{6025}(531,\cdot)\) \(\chi_{6025}(911,\cdot)\) \(\chi_{6025}(1036,\cdot)\) \(\chi_{6025}(1041,\cdot)\) \(\chi_{6025}(1146,\cdot)\) \(\chi_{6025}(1156,\cdot)\) \(\chi_{6025}(1371,\cdot)\) \(\chi_{6025}(1521,\cdot)\) \(\chi_{6025}(1746,\cdot)\) \(\chi_{6025}(1931,\cdot)\) \(\chi_{6025}(2181,\cdot)\) \(\chi_{6025}(2571,\cdot)\) \(\chi_{6025}(2606,\cdot)\) \(\chi_{6025}(2671,\cdot)\) \(\chi_{6025}(3061,\cdot)\) \(\chi_{6025}(3066,\cdot)\) \(\chi_{6025}(3186,\cdot)\) \(\chi_{6025}(3241,\cdot)\) \(\chi_{6025}(3266,\cdot)\) \(\chi_{6025}(3441,\cdot)\) \(\chi_{6025}(3586,\cdot)\) \(\chi_{6025}(4561,\cdot)\) \(\chi_{6025}(5106,\cdot)\) \(\chi_{6025}(5466,\cdot)\) \(\chi_{6025}(5531,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{120})$ |
Fixed field: | Number field defined by a degree 120 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{3}{5}\right),e\left(\frac{29}{120}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(2571, a) \) | \(1\) | \(1\) | \(e\left(\frac{31}{60}\right)\) | \(e\left(\frac{11}{60}\right)\) | \(e\left(\frac{1}{30}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{29}{120}\right)\) | \(e\left(\frac{11}{20}\right)\) | \(e\left(\frac{11}{30}\right)\) | \(e\left(\frac{77}{120}\right)\) | \(e\left(\frac{13}{60}\right)\) | \(e\left(\frac{91}{120}\right)\) |