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.jm
\(\chi_{6025}(38,\cdot)\) \(\chi_{6025}(88,\cdot)\) \(\chi_{6025}(153,\cdot)\) \(\chi_{6025}(203,\cdot)\) \(\chi_{6025}(222,\cdot)\) \(\chi_{6025}(252,\cdot)\) \(\chi_{6025}(263,\cdot)\) \(\chi_{6025}(417,\cdot)\) \(\chi_{6025}(547,\cdot)\) \(\chi_{6025}(712,\cdot)\) \(\chi_{6025}(742,\cdot)\) \(\chi_{6025}(1027,\cdot)\) \(\chi_{6025}(1053,\cdot)\) \(\chi_{6025}(1142,\cdot)\) \(\chi_{6025}(1183,\cdot)\) \(\chi_{6025}(1358,\cdot)\) \(\chi_{6025}(1408,\cdot)\) \(\chi_{6025}(1427,\cdot)\) \(\chi_{6025}(1598,\cdot)\) \(\chi_{6025}(1622,\cdot)\) \(\chi_{6025}(1752,\cdot)\) \(\chi_{6025}(1917,\cdot)\) \(\chi_{6025}(1947,\cdot)\) \(\chi_{6025}(2258,\cdot)\) \(\chi_{6025}(2347,\cdot)\) \(\chi_{6025}(2388,\cdot)\) \(\chi_{6025}(2448,\cdot)\) \(\chi_{6025}(2498,\cdot)\) \(\chi_{6025}(2563,\cdot)\) \(\chi_{6025}(2613,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{7}{20}\right),e\left(\frac{47}{48}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(153, a) \) | \(1\) | \(1\) | \(e\left(\frac{47}{120}\right)\) | \(e\left(\frac{79}{120}\right)\) | \(e\left(\frac{47}{60}\right)\) | \(e\left(\frac{1}{20}\right)\) | \(e\left(\frac{35}{48}\right)\) | \(e\left(\frac{7}{40}\right)\) | \(e\left(\frac{19}{60}\right)\) | \(e\left(\frac{19}{240}\right)\) | \(e\left(\frac{53}{120}\right)\) | \(e\left(\frac{161}{240}\right)\) |