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
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Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6025.iz
\(\chi_{6025}(62,\cdot)\) \(\chi_{6025}(92,\cdot)\) \(\chi_{6025}(112,\cdot)\) \(\chi_{6025}(202,\cdot)\) \(\chi_{6025}(327,\cdot)\) \(\chi_{6025}(372,\cdot)\) \(\chi_{6025}(513,\cdot)\) \(\chi_{6025}(538,\cdot)\) \(\chi_{6025}(552,\cdot)\) \(\chi_{6025}(628,\cdot)\) \(\chi_{6025}(672,\cdot)\) \(\chi_{6025}(778,\cdot)\) \(\chi_{6025}(922,\cdot)\) \(\chi_{6025}(1212,\cdot)\) \(\chi_{6025}(1247,\cdot)\) \(\chi_{6025}(1342,\cdot)\) \(\chi_{6025}(1412,\cdot)\) \(\chi_{6025}(1433,\cdot)\) \(\chi_{6025}(1497,\cdot)\) \(\chi_{6025}(1603,\cdot)\) \(\chi_{6025}(1733,\cdot)\) \(\chi_{6025}(1797,\cdot)\) \(\chi_{6025}(1962,\cdot)\) \(\chi_{6025}(2027,\cdot)\) \(\chi_{6025}(2042,\cdot)\) \(\chi_{6025}(2098,\cdot)\) \(\chi_{6025}(2113,\cdot)\) \(\chi_{6025}(2138,\cdot)\) \(\chi_{6025}(2162,\cdot)\) \(\chi_{6025}(2253,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{19}{20}\right),e\left(\frac{151}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(513, a) \) | \(1\) | \(1\) | \(e\left(\frac{59}{120}\right)\) | \(e\left(\frac{19}{120}\right)\) | \(e\left(\frac{59}{60}\right)\) | \(e\left(\frac{13}{20}\right)\) | \(e\left(\frac{91}{240}\right)\) | \(e\left(\frac{19}{40}\right)\) | \(e\left(\frac{19}{60}\right)\) | \(e\left(\frac{223}{240}\right)\) | \(e\left(\frac{17}{120}\right)\) | \(e\left(\frac{149}{240}\right)\) |