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.ik
\(\chi_{6025}(169,\cdot)\) \(\chi_{6025}(294,\cdot)\) \(\chi_{6025}(664,\cdot)\) \(\chi_{6025}(694,\cdot)\) \(\chi_{6025}(889,\cdot)\) \(\chi_{6025}(1009,\cdot)\) \(\chi_{6025}(1039,\cdot)\) \(\chi_{6025}(1264,\cdot)\) \(\chi_{6025}(1379,\cdot)\) \(\chi_{6025}(1434,\cdot)\) \(\chi_{6025}(1554,\cdot)\) \(\chi_{6025}(1579,\cdot)\) \(\chi_{6025}(1669,\cdot)\) \(\chi_{6025}(1684,\cdot)\) \(\chi_{6025}(1754,\cdot)\) \(\chi_{6025}(2089,\cdot)\) \(\chi_{6025}(2189,\cdot)\) \(\chi_{6025}(2459,\cdot)\) \(\chi_{6025}(2669,\cdot)\) \(\chi_{6025}(3084,\cdot)\) \(\chi_{6025}(3644,\cdot)\) \(\chi_{6025}(3779,\cdot)\) \(\chi_{6025}(3859,\cdot)\) \(\chi_{6025}(4044,\cdot)\) \(\chi_{6025}(4109,\cdot)\) \(\chi_{6025}(4169,\cdot)\) \(\chi_{6025}(4529,\cdot)\) \(\chi_{6025}(4534,\cdot)\) \(\chi_{6025}(4629,\cdot)\) \(\chi_{6025}(5379,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{120})$ |
Fixed field: | Number field defined by a degree 120 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{7}{10}\right),e\left(\frac{31}{120}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(1684, a) \) | \(1\) | \(1\) | \(e\left(\frac{47}{60}\right)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{17}{30}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{91}{120}\right)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{79}{120}\right)\) | \(e\left(\frac{29}{60}\right)\) | \(e\left(\frac{53}{120}\right)\) |