Basic properties
Modulus: | \(6017\) | |
Conductor: | \(6017\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(105\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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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 6017.bm
\(\chi_{6017}(14,\cdot)\) \(\chi_{6017}(126,\cdot)\) \(\chi_{6017}(169,\cdot)\) \(\chi_{6017}(196,\cdot)\) \(\chi_{6017}(427,\cdot)\) \(\chi_{6017}(664,\cdot)\) \(\chi_{6017}(907,\cdot)\) \(\chi_{6017}(1263,\cdot)\) \(\chi_{6017}(1290,\cdot)\) \(\chi_{6017}(1521,\cdot)\) \(\chi_{6017}(1599,\cdot)\) \(\chi_{6017}(1654,\cdot)\) \(\chi_{6017}(1655,\cdot)\) \(\chi_{6017}(1758,\cdot)\) \(\chi_{6017}(1764,\cdot)\) \(\chi_{6017}(1819,\cdot)\) \(\chi_{6017}(2149,\cdot)\) \(\chi_{6017}(2314,\cdot)\) \(\chi_{6017}(2357,\cdot)\) \(\chi_{6017}(2693,\cdot)\) \(\chi_{6017}(2748,\cdot)\) \(\chi_{6017}(2852,\cdot)\) \(\chi_{6017}(2858,\cdot)\) \(\chi_{6017}(2913,\cdot)\) \(\chi_{6017}(2931,\cdot)\) \(\chi_{6017}(3095,\cdot)\) \(\chi_{6017}(3162,\cdot)\) \(\chi_{6017}(3243,\cdot)\) \(\chi_{6017}(3408,\cdot)\) \(\chi_{6017}(3787,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{105})$ |
Fixed field: | Number field defined by a degree 105 polynomial (not computed) |
Values on generators
\((3830,2190)\) → \((e\left(\frac{2}{5}\right),e\left(\frac{4}{21}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
\( \chi_{ 6017 }(1655, a) \) | \(1\) | \(1\) | \(e\left(\frac{62}{105}\right)\) | \(e\left(\frac{32}{35}\right)\) | \(e\left(\frac{19}{105}\right)\) | \(e\left(\frac{73}{105}\right)\) | \(e\left(\frac{53}{105}\right)\) | \(e\left(\frac{44}{105}\right)\) | \(e\left(\frac{27}{35}\right)\) | \(e\left(\frac{29}{35}\right)\) | \(e\left(\frac{2}{7}\right)\) | \(e\left(\frac{2}{21}\right)\) |