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.ij
\(\chi_{5265}(292,\cdot)\) \(\chi_{5265}(457,\cdot)\) \(\chi_{5265}(553,\cdot)\) \(\chi_{5265}(583,\cdot)\) \(\chi_{5265}(877,\cdot)\) \(\chi_{5265}(1042,\cdot)\) \(\chi_{5265}(1138,\cdot)\) \(\chi_{5265}(1168,\cdot)\) \(\chi_{5265}(1462,\cdot)\) \(\chi_{5265}(1627,\cdot)\) \(\chi_{5265}(1723,\cdot)\) \(\chi_{5265}(1753,\cdot)\) \(\chi_{5265}(2047,\cdot)\) \(\chi_{5265}(2212,\cdot)\) \(\chi_{5265}(2308,\cdot)\) \(\chi_{5265}(2338,\cdot)\) \(\chi_{5265}(2632,\cdot)\) \(\chi_{5265}(2797,\cdot)\) \(\chi_{5265}(2893,\cdot)\) \(\chi_{5265}(2923,\cdot)\) \(\chi_{5265}(3217,\cdot)\) \(\chi_{5265}(3382,\cdot)\) \(\chi_{5265}(3478,\cdot)\) \(\chi_{5265}(3508,\cdot)\) \(\chi_{5265}(3802,\cdot)\) \(\chi_{5265}(3967,\cdot)\) \(\chi_{5265}(4063,\cdot)\) \(\chi_{5265}(4093,\cdot)\) \(\chi_{5265}(4387,\cdot)\) \(\chi_{5265}(4552,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{108})$ |
Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((326,2107,2836)\) → \((e\left(\frac{23}{27}\right),-i,e\left(\frac{7}{12}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
\( \chi_{ 5265 }(3508, a) \) | \(1\) | \(1\) | \(e\left(\frac{5}{27}\right)\) | \(e\left(\frac{10}{27}\right)\) | \(e\left(\frac{43}{54}\right)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{17}{108}\right)\) | \(e\left(\frac{53}{54}\right)\) | \(e\left(\frac{20}{27}\right)\) | \(e\left(\frac{1}{36}\right)\) | \(e\left(\frac{11}{36}\right)\) | \(e\left(\frac{37}{108}\right)\) |