Basic properties
Modulus: | \(5265\) | |
Conductor: | \(5265\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(108\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
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.hz
\(\chi_{5265}(113,\cdot)\) \(\chi_{5265}(263,\cdot)\) \(\chi_{5265}(347,\cdot)\) \(\chi_{5265}(497,\cdot)\) \(\chi_{5265}(698,\cdot)\) \(\chi_{5265}(848,\cdot)\) \(\chi_{5265}(932,\cdot)\) \(\chi_{5265}(1082,\cdot)\) \(\chi_{5265}(1283,\cdot)\) \(\chi_{5265}(1433,\cdot)\) \(\chi_{5265}(1517,\cdot)\) \(\chi_{5265}(1667,\cdot)\) \(\chi_{5265}(1868,\cdot)\) \(\chi_{5265}(2018,\cdot)\) \(\chi_{5265}(2102,\cdot)\) \(\chi_{5265}(2252,\cdot)\) \(\chi_{5265}(2453,\cdot)\) \(\chi_{5265}(2603,\cdot)\) \(\chi_{5265}(2687,\cdot)\) \(\chi_{5265}(2837,\cdot)\) \(\chi_{5265}(3038,\cdot)\) \(\chi_{5265}(3188,\cdot)\) \(\chi_{5265}(3272,\cdot)\) \(\chi_{5265}(3422,\cdot)\) \(\chi_{5265}(3623,\cdot)\) \(\chi_{5265}(3773,\cdot)\) \(\chi_{5265}(3857,\cdot)\) \(\chi_{5265}(4007,\cdot)\) \(\chi_{5265}(4208,\cdot)\) \(\chi_{5265}(4358,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{108})$ |
Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((326,2107,2836)\) → \((e\left(\frac{5}{54}\right),-i,e\left(\frac{2}{3}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
\( \chi_{ 5265 }(113, a) \) | \(1\) | \(1\) | \(e\left(\frac{55}{108}\right)\) | \(e\left(\frac{1}{54}\right)\) | \(e\left(\frac{61}{108}\right)\) | \(e\left(\frac{19}{36}\right)\) | \(e\left(\frac{47}{54}\right)\) | \(e\left(\frac{2}{27}\right)\) | \(e\left(\frac{1}{27}\right)\) | \(e\left(\frac{5}{36}\right)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{41}{108}\right)\) |