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
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Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4235.do
\(\chi_{4235}(2,\cdot)\) \(\chi_{4235}(18,\cdot)\) \(\chi_{4235}(72,\cdot)\) \(\chi_{4235}(107,\cdot)\) \(\chi_{4235}(123,\cdot)\) \(\chi_{4235}(128,\cdot)\) \(\chi_{4235}(172,\cdot)\) \(\chi_{4235}(193,\cdot)\) \(\chi_{4235}(228,\cdot)\) \(\chi_{4235}(277,\cdot)\) \(\chi_{4235}(303,\cdot)\) \(\chi_{4235}(338,\cdot)\) \(\chi_{4235}(347,\cdot)\) \(\chi_{4235}(382,\cdot)\) \(\chi_{4235}(387,\cdot)\) \(\chi_{4235}(492,\cdot)\) \(\chi_{4235}(508,\cdot)\) \(\chi_{4235}(513,\cdot)\) \(\chi_{4235}(557,\cdot)\) \(\chi_{4235}(613,\cdot)\) \(\chi_{4235}(618,\cdot)\) \(\chi_{4235}(662,\cdot)\) \(\chi_{4235}(667,\cdot)\) \(\chi_{4235}(688,\cdot)\) \(\chi_{4235}(732,\cdot)\) \(\chi_{4235}(767,\cdot)\) \(\chi_{4235}(772,\cdot)\) \(\chi_{4235}(788,\cdot)\) \(\chi_{4235}(842,\cdot)\) \(\chi_{4235}(877,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{660})$ |
Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((2542,1816,2906)\) → \((i,e\left(\frac{2}{3}\right),e\left(\frac{23}{110}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
\( \chi_{ 4235 }(767, a) \) | \(1\) | \(1\) | \(e\left(\frac{523}{660}\right)\) | \(e\left(\frac{49}{60}\right)\) | \(e\left(\frac{193}{330}\right)\) | \(e\left(\frac{67}{110}\right)\) | \(e\left(\frac{83}{220}\right)\) | \(e\left(\frac{19}{30}\right)\) | \(e\left(\frac{53}{132}\right)\) | \(e\left(\frac{191}{220}\right)\) | \(e\left(\frac{28}{165}\right)\) | \(e\left(\frac{107}{660}\right)\) |