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.hf
\(\chi_{5265}(112,\cdot)\) \(\chi_{5265}(148,\cdot)\) \(\chi_{5265}(502,\cdot)\) \(\chi_{5265}(538,\cdot)\) \(\chi_{5265}(697,\cdot)\) \(\chi_{5265}(733,\cdot)\) \(\chi_{5265}(1087,\cdot)\) \(\chi_{5265}(1123,\cdot)\) \(\chi_{5265}(1282,\cdot)\) \(\chi_{5265}(1318,\cdot)\) \(\chi_{5265}(1672,\cdot)\) \(\chi_{5265}(1708,\cdot)\) \(\chi_{5265}(1867,\cdot)\) \(\chi_{5265}(1903,\cdot)\) \(\chi_{5265}(2257,\cdot)\) \(\chi_{5265}(2293,\cdot)\) \(\chi_{5265}(2452,\cdot)\) \(\chi_{5265}(2488,\cdot)\) \(\chi_{5265}(2842,\cdot)\) \(\chi_{5265}(2878,\cdot)\) \(\chi_{5265}(3037,\cdot)\) \(\chi_{5265}(3073,\cdot)\) \(\chi_{5265}(3427,\cdot)\) \(\chi_{5265}(3463,\cdot)\) \(\chi_{5265}(3622,\cdot)\) \(\chi_{5265}(3658,\cdot)\) \(\chi_{5265}(4012,\cdot)\) \(\chi_{5265}(4048,\cdot)\) \(\chi_{5265}(4207,\cdot)\) \(\chi_{5265}(4243,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{108})$ |
Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((326,2107,2836)\) → \((e\left(\frac{10}{27}\right),i,i)\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
\( \chi_{ 5265 }(112, a) \) | \(1\) | \(1\) | \(e\left(\frac{47}{54}\right)\) | \(e\left(\frac{20}{27}\right)\) | \(e\left(\frac{25}{27}\right)\) | \(e\left(\frac{11}{18}\right)\) | \(e\left(\frac{61}{108}\right)\) | \(e\left(\frac{43}{54}\right)\) | \(e\left(\frac{13}{27}\right)\) | \(e\left(\frac{35}{36}\right)\) | \(e\left(\frac{19}{36}\right)\) | \(e\left(\frac{47}{108}\right)\) |