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.hn
\(\chi_{5265}(164,\cdot)\) \(\chi_{5265}(239,\cdot)\) \(\chi_{5265}(434,\cdot)\) \(\chi_{5265}(554,\cdot)\) \(\chi_{5265}(749,\cdot)\) \(\chi_{5265}(824,\cdot)\) \(\chi_{5265}(1019,\cdot)\) \(\chi_{5265}(1139,\cdot)\) \(\chi_{5265}(1334,\cdot)\) \(\chi_{5265}(1409,\cdot)\) \(\chi_{5265}(1604,\cdot)\) \(\chi_{5265}(1724,\cdot)\) \(\chi_{5265}(1919,\cdot)\) \(\chi_{5265}(1994,\cdot)\) \(\chi_{5265}(2189,\cdot)\) \(\chi_{5265}(2309,\cdot)\) \(\chi_{5265}(2504,\cdot)\) \(\chi_{5265}(2579,\cdot)\) \(\chi_{5265}(2774,\cdot)\) \(\chi_{5265}(2894,\cdot)\) \(\chi_{5265}(3089,\cdot)\) \(\chi_{5265}(3164,\cdot)\) \(\chi_{5265}(3359,\cdot)\) \(\chi_{5265}(3479,\cdot)\) \(\chi_{5265}(3674,\cdot)\) \(\chi_{5265}(3749,\cdot)\) \(\chi_{5265}(3944,\cdot)\) \(\chi_{5265}(4064,\cdot)\) \(\chi_{5265}(4259,\cdot)\) \(\chi_{5265}(4334,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{108})$ |
Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((326,2107,2836)\) → \((e\left(\frac{1}{54}\right),-1,i)\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
\( \chi_{ 5265 }(164, a) \) | \(1\) | \(1\) | \(e\left(\frac{83}{108}\right)\) | \(e\left(\frac{29}{54}\right)\) | \(e\left(\frac{59}{108}\right)\) | \(e\left(\frac{11}{36}\right)\) | \(e\left(\frac{107}{108}\right)\) | \(e\left(\frac{17}{54}\right)\) | \(e\left(\frac{2}{27}\right)\) | \(e\left(\frac{11}{18}\right)\) | \(e\left(\frac{5}{36}\right)\) | \(e\left(\frac{41}{54}\right)\) |