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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4235.dp
\(\chi_{4235}(38,\cdot)\) \(\chi_{4235}(47,\cdot)\) \(\chi_{4235}(82,\cdot)\) \(\chi_{4235}(103,\cdot)\) \(\chi_{4235}(108,\cdot)\) \(\chi_{4235}(152,\cdot)\) \(\chi_{4235}(157,\cdot)\) \(\chi_{4235}(192,\cdot)\) \(\chi_{4235}(213,\cdot)\) \(\chi_{4235}(257,\cdot)\) \(\chi_{4235}(262,\cdot)\) \(\chi_{4235}(278,\cdot)\) \(\chi_{4235}(313,\cdot)\) \(\chi_{4235}(367,\cdot)\) \(\chi_{4235}(383,\cdot)\) \(\chi_{4235}(388,\cdot)\) \(\chi_{4235}(423,\cdot)\) \(\chi_{4235}(432,\cdot)\) \(\chi_{4235}(467,\cdot)\) \(\chi_{4235}(488,\cdot)\) \(\chi_{4235}(537,\cdot)\) \(\chi_{4235}(542,\cdot)\) \(\chi_{4235}(577,\cdot)\) \(\chi_{4235}(598,\cdot)\) \(\chi_{4235}(642,\cdot)\) \(\chi_{4235}(647,\cdot)\) \(\chi_{4235}(663,\cdot)\) \(\chi_{4235}(698,\cdot)\) \(\chi_{4235}(752,\cdot)\) \(\chi_{4235}(768,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{660})$ |
Fixed field: | Number field defined by a degree 660 polynomial (not computed) |
Values on generators
\((2542,1816,2906)\) → \((i,e\left(\frac{1}{6}\right),e\left(\frac{48}{55}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
\( \chi_{ 4235 }(647, a) \) | \(1\) | \(1\) | \(e\left(\frac{301}{660}\right)\) | \(e\left(\frac{43}{60}\right)\) | \(e\left(\frac{301}{330}\right)\) | \(e\left(\frac{19}{110}\right)\) | \(e\left(\frac{81}{220}\right)\) | \(e\left(\frac{13}{30}\right)\) | \(e\left(\frac{83}{132}\right)\) | \(e\left(\frac{87}{220}\right)\) | \(e\left(\frac{136}{165}\right)\) | \(e\left(\frac{119}{660}\right)\) |