Basic properties
| Modulus: | \(1096\) | |
| Conductor: | \(1096\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(136\) | 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 1096.bf
\(\chi_{1096}(5,\cdot)\) \(\chi_{1096}(13,\cdot)\) \(\chi_{1096}(21,\cdot)\) \(\chi_{1096}(29,\cdot)\) \(\chi_{1096}(45,\cdot)\) \(\chi_{1096}(53,\cdot)\) \(\chi_{1096}(85,\cdot)\) \(\chi_{1096}(117,\cdot)\) \(\chi_{1096}(125,\cdot)\) \(\chi_{1096}(149,\cdot)\) \(\chi_{1096}(157,\cdot)\) \(\chi_{1096}(189,\cdot)\) \(\chi_{1096}(221,\cdot)\) \(\chi_{1096}(229,\cdot)\) \(\chi_{1096}(245,\cdot)\) \(\chi_{1096}(253,\cdot)\) \(\chi_{1096}(261,\cdot)\) \(\chi_{1096}(269,\cdot)\) \(\chi_{1096}(277,\cdot)\) \(\chi_{1096}(301,\cdot)\) \(\chi_{1096}(309,\cdot)\) \(\chi_{1096}(317,\cdot)\) \(\chi_{1096}(325,\cdot)\) \(\chi_{1096}(341,\cdot)\) \(\chi_{1096}(349,\cdot)\) \(\chi_{1096}(357,\cdot)\) \(\chi_{1096}(365,\cdot)\) \(\chi_{1096}(405,\cdot)\) \(\chi_{1096}(437,\cdot)\) \(\chi_{1096}(453,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{136})$ |
| Fixed field: | Number field defined by a degree 136 polynomial (not computed) |
Values on generators
\((823,549,825)\) → \((1,-1,e\left(\frac{91}{136}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
| \( \chi_{ 1096 }(29, a) \) | \(-1\) | \(1\) | \(e\left(\frac{23}{136}\right)\) | \(e\left(\frac{93}{136}\right)\) | \(e\left(\frac{7}{68}\right)\) | \(e\left(\frac{23}{68}\right)\) | \(e\left(\frac{9}{68}\right)\) | \(e\left(\frac{31}{136}\right)\) | \(e\left(\frac{29}{34}\right)\) | \(e\left(\frac{29}{68}\right)\) | \(e\left(\frac{19}{68}\right)\) | \(e\left(\frac{37}{136}\right)\) |