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.ie
\(\chi_{6025}(209,\cdot)\) \(\chi_{6025}(239,\cdot)\) \(\chi_{6025}(354,\cdot)\) \(\chi_{6025}(369,\cdot)\) \(\chi_{6025}(484,\cdot)\) \(\chi_{6025}(514,\cdot)\) \(\chi_{6025}(844,\cdot)\) \(\chi_{6025}(1084,\cdot)\) \(\chi_{6025}(1414,\cdot)\) \(\chi_{6025}(1444,\cdot)\) \(\chi_{6025}(1559,\cdot)\) \(\chi_{6025}(1689,\cdot)\) \(\chi_{6025}(1719,\cdot)\) \(\chi_{6025}(2289,\cdot)\) \(\chi_{6025}(2619,\cdot)\) \(\chi_{6025}(2764,\cdot)\) \(\chi_{6025}(2779,\cdot)\) \(\chi_{6025}(2894,\cdot)\) \(\chi_{6025}(3254,\cdot)\) \(\chi_{6025}(3494,\cdot)\) \(\chi_{6025}(3854,\cdot)\) \(\chi_{6025}(3969,\cdot)\) \(\chi_{6025}(3984,\cdot)\) \(\chi_{6025}(4129,\cdot)\) \(\chi_{6025}(4459,\cdot)\) \(\chi_{6025}(5029,\cdot)\) \(\chi_{6025}(5059,\cdot)\) \(\chi_{6025}(5189,\cdot)\) \(\chi_{6025}(5304,\cdot)\) \(\chi_{6025}(5334,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{120})$ |
Fixed field: | Number field defined by a degree 120 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{3}{10}\right),e\left(\frac{7}{24}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(239, a) \) | \(1\) | \(1\) | \(e\left(\frac{43}{60}\right)\) | \(e\left(\frac{11}{60}\right)\) | \(e\left(\frac{13}{30}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{19}{24}\right)\) | \(e\left(\frac{3}{20}\right)\) | \(e\left(\frac{11}{30}\right)\) | \(e\left(\frac{11}{120}\right)\) | \(e\left(\frac{37}{60}\right)\) | \(e\left(\frac{49}{120}\right)\) |