Basic properties
Modulus: | \(6017\) | |
Conductor: | \(6017\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(210\) | 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.bu
\(\chi_{6017}(39,\cdot)\) \(\chi_{6017}(369,\cdot)\) \(\chi_{6017}(424,\cdot)\) \(\chi_{6017}(534,\cdot)\) \(\chi_{6017}(589,\cdot)\) \(\chi_{6017}(667,\cdot)\) \(\chi_{6017}(734,\cdot)\) \(\chi_{6017}(898,\cdot)\) \(\chi_{6017}(1080,\cdot)\) \(\chi_{6017}(1515,\cdot)\) \(\chi_{6017}(1524,\cdot)\) \(\chi_{6017}(1680,\cdot)\) \(\chi_{6017}(1828,\cdot)\) \(\chi_{6017}(2010,\cdot)\) \(\chi_{6017}(2019,\cdot)\) \(\chi_{6017}(2065,\cdot)\) \(\chi_{6017}(2174,\cdot)\) \(\chi_{6017}(2175,\cdot)\) \(\chi_{6017}(2230,\cdot)\) \(\chi_{6017}(2609,\cdot)\) \(\chi_{6017}(2774,\cdot)\) \(\chi_{6017}(2855,\cdot)\) \(\chi_{6017}(2922,\cdot)\) \(\chi_{6017}(3086,\cdot)\) \(\chi_{6017}(3104,\cdot)\) \(\chi_{6017}(3159,\cdot)\) \(\chi_{6017}(3165,\cdot)\) \(\chi_{6017}(3269,\cdot)\) \(\chi_{6017}(3324,\cdot)\) \(\chi_{6017}(3660,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{105})$ |
Fixed field: | Number field defined by a degree 210 polynomial (not computed) |
Values on generators
\((3830,2190)\) → \((e\left(\frac{9}{10}\right),e\left(\frac{25}{42}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
\( \chi_{ 6017 }(1524, a) \) | \(1\) | \(1\) | \(e\left(\frac{52}{105}\right)\) | \(e\left(\frac{39}{70}\right)\) | \(e\left(\frac{104}{105}\right)\) | \(e\left(\frac{31}{210}\right)\) | \(e\left(\frac{11}{210}\right)\) | \(e\left(\frac{64}{105}\right)\) | \(e\left(\frac{17}{35}\right)\) | \(e\left(\frac{4}{35}\right)\) | \(e\left(\frac{9}{14}\right)\) | \(e\left(\frac{23}{42}\right)\) |