Basic properties
Modulus: | \(2535\) | |
Conductor: | \(2535\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(156\) | 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 2535.cs
\(\chi_{2535}(68,\cdot)\) \(\chi_{2535}(107,\cdot)\) \(\chi_{2535}(113,\cdot)\) \(\chi_{2535}(152,\cdot)\) \(\chi_{2535}(263,\cdot)\) \(\chi_{2535}(302,\cdot)\) \(\chi_{2535}(308,\cdot)\) \(\chi_{2535}(347,\cdot)\) \(\chi_{2535}(458,\cdot)\) \(\chi_{2535}(497,\cdot)\) \(\chi_{2535}(503,\cdot)\) \(\chi_{2535}(542,\cdot)\) \(\chi_{2535}(692,\cdot)\) \(\chi_{2535}(737,\cdot)\) \(\chi_{2535}(848,\cdot)\) \(\chi_{2535}(887,\cdot)\) \(\chi_{2535}(893,\cdot)\) \(\chi_{2535}(932,\cdot)\) \(\chi_{2535}(1043,\cdot)\) \(\chi_{2535}(1082,\cdot)\) \(\chi_{2535}(1088,\cdot)\) \(\chi_{2535}(1127,\cdot)\) \(\chi_{2535}(1238,\cdot)\) \(\chi_{2535}(1277,\cdot)\) \(\chi_{2535}(1283,\cdot)\) \(\chi_{2535}(1322,\cdot)\) \(\chi_{2535}(1433,\cdot)\) \(\chi_{2535}(1472,\cdot)\) \(\chi_{2535}(1478,\cdot)\) \(\chi_{2535}(1517,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{156})$ |
Fixed field: | Number field defined by a degree 156 polynomial (not computed) |
Values on generators
\((1691,1522,1861)\) → \((-1,-i,e\left(\frac{37}{39}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(14\) | \(16\) | \(17\) | \(19\) | \(22\) |
\( \chi_{ 2535 }(68, a) \) | \(1\) | \(1\) | \(e\left(\frac{31}{156}\right)\) | \(e\left(\frac{31}{78}\right)\) | \(e\left(\frac{41}{156}\right)\) | \(e\left(\frac{31}{52}\right)\) | \(e\left(\frac{17}{78}\right)\) | \(e\left(\frac{6}{13}\right)\) | \(e\left(\frac{31}{39}\right)\) | \(e\left(\frac{119}{156}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{12}\right)\) |