Basic properties
| Modulus: | \(2883\) | |
| Conductor: | \(2883\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(310\) | 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 2883.ba
\(\chi_{2883}(23,\cdot)\) \(\chi_{2883}(29,\cdot)\) \(\chi_{2883}(77,\cdot)\) \(\chi_{2883}(89,\cdot)\) \(\chi_{2883}(116,\cdot)\) \(\chi_{2883}(122,\cdot)\) \(\chi_{2883}(170,\cdot)\) \(\chi_{2883}(182,\cdot)\) \(\chi_{2883}(209,\cdot)\) \(\chi_{2883}(215,\cdot)\) \(\chi_{2883}(263,\cdot)\) \(\chi_{2883}(275,\cdot)\) \(\chi_{2883}(302,\cdot)\) \(\chi_{2883}(308,\cdot)\) \(\chi_{2883}(356,\cdot)\) \(\chi_{2883}(368,\cdot)\) \(\chi_{2883}(395,\cdot)\) \(\chi_{2883}(401,\cdot)\) \(\chi_{2883}(449,\cdot)\) \(\chi_{2883}(461,\cdot)\) \(\chi_{2883}(488,\cdot)\) \(\chi_{2883}(494,\cdot)\) \(\chi_{2883}(542,\cdot)\) \(\chi_{2883}(554,\cdot)\) \(\chi_{2883}(581,\cdot)\) \(\chi_{2883}(635,\cdot)\) \(\chi_{2883}(647,\cdot)\) \(\chi_{2883}(674,\cdot)\) \(\chi_{2883}(680,\cdot)\) \(\chi_{2883}(728,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{155})$ |
| Fixed field: | Number field defined by a degree 310 polynomial (not computed) |
Values on generators
\((962,964)\) → \((-1,e\left(\frac{29}{310}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(11\) | \(13\) | \(14\) | \(16\) |
| \( \chi_{ 2883 }(23, a) \) | \(1\) | \(1\) | \(e\left(\frac{271}{310}\right)\) | \(e\left(\frac{116}{155}\right)\) | \(e\left(\frac{41}{62}\right)\) | \(e\left(\frac{86}{155}\right)\) | \(e\left(\frac{193}{310}\right)\) | \(e\left(\frac{83}{155}\right)\) | \(e\left(\frac{111}{155}\right)\) | \(e\left(\frac{159}{310}\right)\) | \(e\left(\frac{133}{310}\right)\) | \(e\left(\frac{77}{155}\right)\) |