Basic properties
Modulus: | \(6025\) | |
Conductor: | \(6025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6025.ja
\(\chi_{6025}(272,\cdot)\) \(\chi_{6025}(287,\cdot)\) \(\chi_{6025}(297,\cdot)\) \(\chi_{6025}(303,\cdot)\) \(\chi_{6025}(353,\cdot)\) \(\chi_{6025}(383,\cdot)\) \(\chi_{6025}(427,\cdot)\) \(\chi_{6025}(517,\cdot)\) \(\chi_{6025}(577,\cdot)\) \(\chi_{6025}(792,\cdot)\) \(\chi_{6025}(912,\cdot)\) \(\chi_{6025}(1042,\cdot)\) \(\chi_{6025}(1113,\cdot)\) \(\chi_{6025}(1337,\cdot)\) \(\chi_{6025}(1453,\cdot)\) \(\chi_{6025}(1517,\cdot)\) \(\chi_{6025}(1538,\cdot)\) \(\chi_{6025}(1653,\cdot)\) \(\chi_{6025}(1858,\cdot)\) \(\chi_{6025}(1872,\cdot)\) \(\chi_{6025}(1897,\cdot)\) \(\chi_{6025}(2002,\cdot)\) \(\chi_{6025}(2037,\cdot)\) \(\chi_{6025}(2083,\cdot)\) \(\chi_{6025}(2203,\cdot)\) \(\chi_{6025}(2208,\cdot)\) \(\chi_{6025}(2373,\cdot)\) \(\chi_{6025}(2403,\cdot)\) \(\chi_{6025}(2462,\cdot)\) \(\chi_{6025}(2577,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{9}{20}\right),e\left(\frac{7}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(287, a) \) | \(1\) | \(1\) | \(e\left(\frac{119}{120}\right)\) | \(e\left(\frac{11}{24}\right)\) | \(e\left(\frac{59}{60}\right)\) | \(e\left(\frac{9}{20}\right)\) | \(e\left(\frac{67}{240}\right)\) | \(e\left(\frac{39}{40}\right)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{223}{240}\right)\) | \(e\left(\frac{53}{120}\right)\) | \(e\left(\frac{221}{240}\right)\) |