Basic properties
Modulus: | \(5265\) | |
Conductor: | \(5265\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(108\) | 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 5265.hk
\(\chi_{5265}(59,\cdot)\) \(\chi_{5265}(119,\cdot)\) \(\chi_{5265}(149,\cdot)\) \(\chi_{5265}(479,\cdot)\) \(\chi_{5265}(644,\cdot)\) \(\chi_{5265}(704,\cdot)\) \(\chi_{5265}(734,\cdot)\) \(\chi_{5265}(1064,\cdot)\) \(\chi_{5265}(1229,\cdot)\) \(\chi_{5265}(1289,\cdot)\) \(\chi_{5265}(1319,\cdot)\) \(\chi_{5265}(1649,\cdot)\) \(\chi_{5265}(1814,\cdot)\) \(\chi_{5265}(1874,\cdot)\) \(\chi_{5265}(1904,\cdot)\) \(\chi_{5265}(2234,\cdot)\) \(\chi_{5265}(2399,\cdot)\) \(\chi_{5265}(2459,\cdot)\) \(\chi_{5265}(2489,\cdot)\) \(\chi_{5265}(2819,\cdot)\) \(\chi_{5265}(2984,\cdot)\) \(\chi_{5265}(3044,\cdot)\) \(\chi_{5265}(3074,\cdot)\) \(\chi_{5265}(3404,\cdot)\) \(\chi_{5265}(3569,\cdot)\) \(\chi_{5265}(3629,\cdot)\) \(\chi_{5265}(3659,\cdot)\) \(\chi_{5265}(3989,\cdot)\) \(\chi_{5265}(4154,\cdot)\) \(\chi_{5265}(4214,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{108})$ |
Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((326,2107,2836)\) → \((e\left(\frac{41}{54}\right),-1,e\left(\frac{11}{12}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
\( \chi_{ 5265 }(59, a) \) | \(1\) | \(1\) | \(e\left(\frac{19}{108}\right)\) | \(e\left(\frac{19}{54}\right)\) | \(e\left(\frac{79}{108}\right)\) | \(e\left(\frac{19}{36}\right)\) | \(e\left(\frac{31}{108}\right)\) | \(e\left(\frac{49}{54}\right)\) | \(e\left(\frac{19}{27}\right)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{1}{36}\right)\) | \(e\left(\frac{25}{54}\right)\) |