Basic properties
| Modulus: | \(1091\) | |
| Conductor: | \(1091\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(1090\) | 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 1091.h
\(\chi_{1091}(2,\cdot)\) \(\chi_{1091}(6,\cdot)\) \(\chi_{1091}(8,\cdot)\) \(\chi_{1091}(10,\cdot)\) \(\chi_{1091}(14,\cdot)\) \(\chi_{1091}(17,\cdot)\) \(\chi_{1091}(18,\cdot)\) \(\chi_{1091}(22,\cdot)\) \(\chi_{1091}(24,\cdot)\) \(\chi_{1091}(26,\cdot)\) \(\chi_{1091}(29,\cdot)\) \(\chi_{1091}(30,\cdot)\) \(\chi_{1091}(37,\cdot)\) \(\chi_{1091}(40,\cdot)\) \(\chi_{1091}(42,\cdot)\) \(\chi_{1091}(43,\cdot)\) \(\chi_{1091}(46,\cdot)\) \(\chi_{1091}(50,\cdot)\) \(\chi_{1091}(51,\cdot)\) \(\chi_{1091}(53,\cdot)\) \(\chi_{1091}(54,\cdot)\) \(\chi_{1091}(56,\cdot)\) \(\chi_{1091}(59,\cdot)\) \(\chi_{1091}(61,\cdot)\) \(\chi_{1091}(62,\cdot)\) \(\chi_{1091}(66,\cdot)\) \(\chi_{1091}(68,\cdot)\) \(\chi_{1091}(70,\cdot)\) \(\chi_{1091}(72,\cdot)\) \(\chi_{1091}(78,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{545})$ |
| Fixed field: | Number field defined by a degree 1090 polynomial (not computed) |
Values on generators
\(2\) → \(e\left(\frac{1}{1090}\right)\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 1091 }(2, a) \) | \(-1\) | \(1\) | \(e\left(\frac{1}{1090}\right)\) | \(e\left(\frac{52}{109}\right)\) | \(e\left(\frac{1}{545}\right)\) | \(e\left(\frac{37}{109}\right)\) | \(e\left(\frac{521}{1090}\right)\) | \(e\left(\frac{499}{545}\right)\) | \(e\left(\frac{3}{1090}\right)\) | \(e\left(\frac{104}{109}\right)\) | \(e\left(\frac{371}{1090}\right)\) | \(e\left(\frac{149}{545}\right)\) |