Basic properties
Modulus: | \(4235\) | |
Conductor: | \(4235\) | 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: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4235.dr
\(\chi_{4235}(17,\cdot)\) \(\chi_{4235}(52,\cdot)\) \(\chi_{4235}(68,\cdot)\) \(\chi_{4235}(73,\cdot)\) \(\chi_{4235}(117,\cdot)\) \(\chi_{4235}(138,\cdot)\) \(\chi_{4235}(173,\cdot)\) \(\chi_{4235}(178,\cdot)\) \(\chi_{4235}(222,\cdot)\) \(\chi_{4235}(227,\cdot)\) \(\chi_{4235}(248,\cdot)\) \(\chi_{4235}(283,\cdot)\) \(\chi_{4235}(292,\cdot)\) \(\chi_{4235}(327,\cdot)\) \(\chi_{4235}(332,\cdot)\) \(\chi_{4235}(348,\cdot)\) \(\chi_{4235}(402,\cdot)\) \(\chi_{4235}(437,\cdot)\) \(\chi_{4235}(453,\cdot)\) \(\chi_{4235}(458,\cdot)\) \(\chi_{4235}(502,\cdot)\) \(\chi_{4235}(523,\cdot)\) \(\chi_{4235}(558,\cdot)\) \(\chi_{4235}(563,\cdot)\) \(\chi_{4235}(607,\cdot)\) \(\chi_{4235}(612,\cdot)\) \(\chi_{4235}(633,\cdot)\) \(\chi_{4235}(668,\cdot)\) \(\chi_{4235}(677,\cdot)\) \(\chi_{4235}(712,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{660})$ |
Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((2542,1816,2906)\) → \((-i,e\left(\frac{1}{6}\right),e\left(\frac{39}{110}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
\( \chi_{ 4235 }(1018, a) \) | \(-1\) | \(1\) | \(e\left(\frac{289}{660}\right)\) | \(e\left(\frac{37}{60}\right)\) | \(e\left(\frac{289}{330}\right)\) | \(e\left(\frac{3}{55}\right)\) | \(e\left(\frac{69}{220}\right)\) | \(e\left(\frac{7}{30}\right)\) | \(e\left(\frac{65}{132}\right)\) | \(e\left(\frac{123}{220}\right)\) | \(e\left(\frac{124}{165}\right)\) | \(e\left(\frac{191}{660}\right)\) |