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.hp
\(\chi_{5265}(23,\cdot)\) \(\chi_{5265}(173,\cdot)\) \(\chi_{5265}(257,\cdot)\) \(\chi_{5265}(407,\cdot)\) \(\chi_{5265}(608,\cdot)\) \(\chi_{5265}(758,\cdot)\) \(\chi_{5265}(842,\cdot)\) \(\chi_{5265}(992,\cdot)\) \(\chi_{5265}(1193,\cdot)\) \(\chi_{5265}(1343,\cdot)\) \(\chi_{5265}(1427,\cdot)\) \(\chi_{5265}(1577,\cdot)\) \(\chi_{5265}(1778,\cdot)\) \(\chi_{5265}(1928,\cdot)\) \(\chi_{5265}(2012,\cdot)\) \(\chi_{5265}(2162,\cdot)\) \(\chi_{5265}(2363,\cdot)\) \(\chi_{5265}(2513,\cdot)\) \(\chi_{5265}(2597,\cdot)\) \(\chi_{5265}(2747,\cdot)\) \(\chi_{5265}(2948,\cdot)\) \(\chi_{5265}(3098,\cdot)\) \(\chi_{5265}(3182,\cdot)\) \(\chi_{5265}(3332,\cdot)\) \(\chi_{5265}(3533,\cdot)\) \(\chi_{5265}(3683,\cdot)\) \(\chi_{5265}(3767,\cdot)\) \(\chi_{5265}(3917,\cdot)\) \(\chi_{5265}(4118,\cdot)\) \(\chi_{5265}(4268,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{108})$ |
Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((326,2107,2836)\) → \((e\left(\frac{11}{54}\right),-i,e\left(\frac{5}{6}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
\( \chi_{ 5265 }(23, a) \) | \(1\) | \(1\) | \(e\left(\frac{85}{108}\right)\) | \(e\left(\frac{31}{54}\right)\) | \(e\left(\frac{19}{108}\right)\) | \(e\left(\frac{13}{36}\right)\) | \(e\left(\frac{13}{27}\right)\) | \(e\left(\frac{26}{27}\right)\) | \(e\left(\frac{4}{27}\right)\) | \(e\left(\frac{5}{36}\right)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{29}{108}\right)\) |