Basic properties
Modulus: | \(6018\) | |
Conductor: | \(3009\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(464\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{3009}(653,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6018.bn
\(\chi_{6018}(5,\cdot)\) \(\chi_{6018}(29,\cdot)\) \(\chi_{6018}(41,\cdot)\) \(\chi_{6018}(71,\cdot)\) \(\chi_{6018}(95,\cdot)\) \(\chi_{6018}(107,\cdot)\) \(\chi_{6018}(125,\cdot)\) \(\chi_{6018}(143,\cdot)\) \(\chi_{6018}(167,\cdot)\) \(\chi_{6018}(197,\cdot)\) \(\chi_{6018}(245,\cdot)\) \(\chi_{6018}(299,\cdot)\) \(\chi_{6018}(311,\cdot)\) \(\chi_{6018}(317,\cdot)\) \(\chi_{6018}(371,\cdot)\) \(\chi_{6018}(449,\cdot)\) \(\chi_{6018}(479,\cdot)\) \(\chi_{6018}(521,\cdot)\) \(\chi_{6018}(551,\cdot)\) \(\chi_{6018}(605,\cdot)\) \(\chi_{6018}(617,\cdot)\) \(\chi_{6018}(635,\cdot)\) \(\chi_{6018}(641,\cdot)\) \(\chi_{6018}(653,\cdot)\) \(\chi_{6018}(677,\cdot)\) \(\chi_{6018}(725,\cdot)\) \(\chi_{6018}(737,\cdot)\) \(\chi_{6018}(743,\cdot)\) \(\chi_{6018}(779,\cdot)\) \(\chi_{6018}(845,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{464})$ |
Fixed field: | Number field defined by a degree 464 polynomial (not computed) |
Values on generators
\((4013,1771,1123)\) → \((-1,e\left(\frac{11}{16}\right),e\left(\frac{1}{29}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(5\) | \(7\) | \(11\) | \(13\) | \(19\) | \(23\) | \(25\) | \(29\) | \(31\) | \(35\) |
\( \chi_{ 6018 }(653, a) \) | \(1\) | \(1\) | \(e\left(\frac{67}{464}\right)\) | \(e\left(\frac{85}{464}\right)\) | \(e\left(\frac{81}{464}\right)\) | \(e\left(\frac{35}{116}\right)\) | \(e\left(\frac{217}{232}\right)\) | \(e\left(\frac{153}{464}\right)\) | \(e\left(\frac{67}{232}\right)\) | \(e\left(\frac{187}{464}\right)\) | \(e\left(\frac{407}{464}\right)\) | \(e\left(\frac{19}{58}\right)\) |