Basic properties
Modulus: | \(953\) | |
Conductor: | \(953\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(952\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 953.p
\(\chi_{953}(3,\cdot)\) \(\chi_{953}(5,\cdot)\) \(\chi_{953}(6,\cdot)\) \(\chi_{953}(10,\cdot)\) \(\chi_{953}(11,\cdot)\) \(\chi_{953}(12,\cdot)\) \(\chi_{953}(19,\cdot)\) \(\chi_{953}(20,\cdot)\) \(\chi_{953}(22,\cdot)\) \(\chi_{953}(23,\cdot)\) \(\chi_{953}(24,\cdot)\) \(\chi_{953}(27,\cdot)\) \(\chi_{953}(35,\cdot)\) \(\chi_{953}(38,\cdot)\) \(\chi_{953}(43,\cdot)\) \(\chi_{953}(44,\cdot)\) \(\chi_{953}(46,\cdot)\) \(\chi_{953}(47,\cdot)\) \(\chi_{953}(48,\cdot)\) \(\chi_{953}(51,\cdot)\) \(\chi_{953}(54,\cdot)\) \(\chi_{953}(61,\cdot)\) \(\chi_{953}(65,\cdot)\) \(\chi_{953}(70,\cdot)\) \(\chi_{953}(75,\cdot)\) \(\chi_{953}(76,\cdot)\) \(\chi_{953}(77,\cdot)\) \(\chi_{953}(80,\cdot)\) \(\chi_{953}(85,\cdot)\) \(\chi_{953}(87,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{952})$ |
Fixed field: | Number field defined by a degree 952 polynomial (not computed) |
Values on generators
\(3\) → \(e\left(\frac{311}{952}\right)\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 953 }(11, a) \) | \(-1\) | \(1\) | \(e\left(\frac{11}{68}\right)\) | \(e\left(\frac{311}{952}\right)\) | \(e\left(\frac{11}{34}\right)\) | \(e\left(\frac{337}{952}\right)\) | \(e\left(\frac{465}{952}\right)\) | \(e\left(\frac{155}{238}\right)\) | \(e\left(\frac{33}{68}\right)\) | \(e\left(\frac{311}{476}\right)\) | \(e\left(\frac{491}{952}\right)\) | \(e\left(\frac{569}{952}\right)\) |