Basic properties
Modulus: | \(6025\) | |
Conductor: | \(6025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
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Order: | \(240\) | 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: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6025.jk
\(\chi_{6025}(34,\cdot)\) \(\chi_{6025}(39,\cdot)\) \(\chi_{6025}(204,\cdot)\) \(\chi_{6025}(234,\cdot)\) \(\chi_{6025}(309,\cdot)\) \(\chi_{6025}(469,\cdot)\) \(\chi_{6025}(619,\cdot)\) \(\chi_{6025}(709,\cdot)\) \(\chi_{6025}(769,\cdot)\) \(\chi_{6025}(854,\cdot)\) \(\chi_{6025}(1154,\cdot)\) \(\chi_{6025}(1279,\cdot)\) \(\chi_{6025}(1319,\cdot)\) \(\chi_{6025}(1334,\cdot)\) \(\chi_{6025}(1384,\cdot)\) \(\chi_{6025}(1394,\cdot)\) \(\chi_{6025}(1404,\cdot)\) \(\chi_{6025}(1729,\cdot)\) \(\chi_{6025}(1819,\cdot)\) \(\chi_{6025}(1854,\cdot)\) \(\chi_{6025}(1889,\cdot)\) \(\chi_{6025}(1959,\cdot)\) \(\chi_{6025}(1979,\cdot)\) \(\chi_{6025}(1984,\cdot)\) \(\chi_{6025}(1994,\cdot)\) \(\chi_{6025}(2014,\cdot)\) \(\chi_{6025}(2239,\cdot)\) \(\chi_{6025}(2279,\cdot)\) \(\chi_{6025}(2339,\cdot)\) \(\chi_{6025}(2344,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{3}{10}\right),e\left(\frac{229}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(39, a) \) | \(-1\) | \(1\) | \(e\left(\frac{71}{120}\right)\) | \(e\left(\frac{91}{120}\right)\) | \(e\left(\frac{11}{60}\right)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{109}{240}\right)\) | \(e\left(\frac{31}{40}\right)\) | \(e\left(\frac{31}{60}\right)\) | \(e\left(\frac{157}{240}\right)\) | \(e\left(\frac{113}{120}\right)\) | \(e\left(\frac{131}{240}\right)\) |