Basic properties
Modulus: | \(4025\) | |
Conductor: | \(4025\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(660\) | 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 4025.do
\(\chi_{4025}(3,\cdot)\) \(\chi_{4025}(12,\cdot)\) \(\chi_{4025}(52,\cdot)\) \(\chi_{4025}(73,\cdot)\) \(\chi_{4025}(87,\cdot)\) \(\chi_{4025}(108,\cdot)\) \(\chi_{4025}(117,\cdot)\) \(\chi_{4025}(173,\cdot)\) \(\chi_{4025}(187,\cdot)\) \(\chi_{4025}(192,\cdot)\) \(\chi_{4025}(213,\cdot)\) \(\chi_{4025}(248,\cdot)\) \(\chi_{4025}(262,\cdot)\) \(\chi_{4025}(278,\cdot)\) \(\chi_{4025}(292,\cdot)\) \(\chi_{4025}(348,\cdot)\) \(\chi_{4025}(353,\cdot)\) \(\chi_{4025}(397,\cdot)\) \(\chi_{4025}(423,\cdot)\) \(\chi_{4025}(453,\cdot)\) \(\chi_{4025}(472,\cdot)\) \(\chi_{4025}(537,\cdot)\) \(\chi_{4025}(542,\cdot)\) \(\chi_{4025}(558,\cdot)\) \(\chi_{4025}(577,\cdot)\) \(\chi_{4025}(633,\cdot)\) \(\chi_{4025}(647,\cdot)\) \(\chi_{4025}(698,\cdot)\) \(\chi_{4025}(703,\cdot)\) \(\chi_{4025}(717,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{660})$ |
Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((2577,1151,3501)\) → \((e\left(\frac{3}{20}\right),e\left(\frac{5}{6}\right),e\left(\frac{9}{11}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) | \(16\) |
\( \chi_{ 4025 }(558, a) \) | \(1\) | \(1\) | \(e\left(\frac{299}{660}\right)\) | \(e\left(\frac{643}{660}\right)\) | \(e\left(\frac{299}{330}\right)\) | \(e\left(\frac{47}{110}\right)\) | \(e\left(\frac{79}{220}\right)\) | \(e\left(\frac{313}{330}\right)\) | \(e\left(\frac{16}{165}\right)\) | \(e\left(\frac{581}{660}\right)\) | \(e\left(\frac{177}{220}\right)\) | \(e\left(\frac{134}{165}\right)\) |