Basic properties
Modulus: | \(6025\) | |
Conductor: | \(6025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(120\) | 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.ii
\(\chi_{6025}(244,\cdot)\) \(\chi_{6025}(464,\cdot)\) \(\chi_{6025}(494,\cdot)\) \(\chi_{6025}(559,\cdot)\) \(\chi_{6025}(919,\cdot)\) \(\chi_{6025}(1464,\cdot)\) \(\chi_{6025}(2439,\cdot)\) \(\chi_{6025}(2584,\cdot)\) \(\chi_{6025}(2759,\cdot)\) \(\chi_{6025}(2784,\cdot)\) \(\chi_{6025}(2839,\cdot)\) \(\chi_{6025}(2959,\cdot)\) \(\chi_{6025}(2964,\cdot)\) \(\chi_{6025}(3354,\cdot)\) \(\chi_{6025}(3419,\cdot)\) \(\chi_{6025}(3454,\cdot)\) \(\chi_{6025}(3844,\cdot)\) \(\chi_{6025}(4094,\cdot)\) \(\chi_{6025}(4279,\cdot)\) \(\chi_{6025}(4504,\cdot)\) \(\chi_{6025}(4654,\cdot)\) \(\chi_{6025}(4869,\cdot)\) \(\chi_{6025}(4879,\cdot)\) \(\chi_{6025}(4984,\cdot)\) \(\chi_{6025}(4989,\cdot)\) \(\chi_{6025}(5114,\cdot)\) \(\chi_{6025}(5494,\cdot)\) \(\chi_{6025}(5514,\cdot)\) \(\chi_{6025}(5704,\cdot)\) \(\chi_{6025}(5734,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{120})$ |
Fixed field: | Number field defined by a degree 120 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((e\left(\frac{9}{10}\right),e\left(\frac{91}{120}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(244, a) \) | \(1\) | \(1\) | \(e\left(\frac{59}{60}\right)\) | \(e\left(\frac{19}{60}\right)\) | \(e\left(\frac{29}{30}\right)\) | \(e\left(\frac{3}{10}\right)\) | \(e\left(\frac{31}{120}\right)\) | \(e\left(\frac{19}{20}\right)\) | \(e\left(\frac{19}{30}\right)\) | \(e\left(\frac{43}{120}\right)\) | \(e\left(\frac{17}{60}\right)\) | \(e\left(\frac{89}{120}\right)\) |