Basic properties
Modulus: | \(6025\) | |
Conductor: | \(6025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(80\) | 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.hc
\(\chi_{6025}(352,\cdot)\) \(\chi_{6025}(367,\cdot)\) \(\chi_{6025}(438,\cdot)\) \(\chi_{6025}(558,\cdot)\) \(\chi_{6025}(597,\cdot)\) \(\chi_{6025}(612,\cdot)\) \(\chi_{6025}(888,\cdot)\) \(\chi_{6025}(1008,\cdot)\) \(\chi_{6025}(1572,\cdot)\) \(\chi_{6025}(1763,\cdot)\) \(\chi_{6025}(1802,\cdot)\) \(\chi_{6025}(1817,\cdot)\) \(\chi_{6025}(2213,\cdot)\) \(\chi_{6025}(2762,\cdot)\) \(\chi_{6025}(2777,\cdot)\) \(\chi_{6025}(2848,\cdot)\) \(\chi_{6025}(3022,\cdot)\) \(\chi_{6025}(3298,\cdot)\) \(\chi_{6025}(3967,\cdot)\) \(\chi_{6025}(4053,\cdot)\) \(\chi_{6025}(4173,\cdot)\) \(\chi_{6025}(4212,\cdot)\) \(\chi_{6025}(4227,\cdot)\) \(\chi_{6025}(4503,\cdot)\) \(\chi_{6025}(4623,\cdot)\) \(\chi_{6025}(5172,\cdot)\) \(\chi_{6025}(5187,\cdot)\) \(\chi_{6025}(5258,\cdot)\) \(\chi_{6025}(5378,\cdot)\) \(\chi_{6025}(5417,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{80})$ |
Fixed field: | Number field defined by a degree 80 polynomial |
Values on generators
\((2652,2176)\) → \((e\left(\frac{9}{20}\right),e\left(\frac{1}{16}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(2762, a) \) | \(1\) | \(1\) | \(e\left(\frac{13}{40}\right)\) | \(e\left(\frac{21}{40}\right)\) | \(e\left(\frac{13}{20}\right)\) | \(e\left(\frac{17}{20}\right)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{39}{40}\right)\) | \(e\left(\frac{1}{20}\right)\) | \(e\left(\frac{61}{80}\right)\) | \(e\left(\frac{7}{40}\right)\) | \(e\left(\frac{39}{80}\right)\) |