Basic properties
Modulus: | \(6017\) | |
Conductor: | \(6017\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(130\) | 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.bp
\(\chi_{6017}(28,\cdot)\) \(\chi_{6017}(30,\cdot)\) \(\chi_{6017}(72,\cdot)\) \(\chi_{6017}(107,\cdot)\) \(\chi_{6017}(172,\cdot)\) \(\chi_{6017}(194,\cdot)\) \(\chi_{6017}(310,\cdot)\) \(\chi_{6017}(501,\cdot)\) \(\chi_{6017}(585,\cdot)\) \(\chi_{6017}(744,\cdot)\) \(\chi_{6017}(833,\cdot)\) \(\chi_{6017}(1124,\cdot)\) \(\chi_{6017}(1201,\cdot)\) \(\chi_{6017}(1348,\cdot)\) \(\chi_{6017}(1404,\cdot)\) \(\chi_{6017}(1669,\cdot)\) \(\chi_{6017}(1679,\cdot)\) \(\chi_{6017}(1713,\cdot)\) \(\chi_{6017}(1927,\cdot)\) \(\chi_{6017}(2142,\cdot)\) \(\chi_{6017}(2218,\cdot)\) \(\chi_{6017}(2295,\cdot)\) \(\chi_{6017}(2360,\cdot)\) \(\chi_{6017}(2382,\cdot)\) \(\chi_{6017}(2763,\cdot)\) \(\chi_{6017}(2807,\cdot)\) \(\chi_{6017}(2932,\cdot)\) \(\chi_{6017}(2989,\cdot)\) \(\chi_{6017}(3021,\cdot)\) \(\chi_{6017}(3236,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{65})$ |
Fixed field: | Number field defined by a degree 130 polynomial (not computed) |
Values on generators
\((3830,2190)\) → \((e\left(\frac{1}{10}\right),e\left(\frac{3}{26}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
\( \chi_{ 6017 }(1124, a) \) | \(1\) | \(1\) | \(e\left(\frac{14}{65}\right)\) | \(e\left(\frac{3}{10}\right)\) | \(e\left(\frac{28}{65}\right)\) | \(e\left(\frac{7}{130}\right)\) | \(e\left(\frac{67}{130}\right)\) | \(e\left(\frac{38}{65}\right)\) | \(e\left(\frac{42}{65}\right)\) | \(e\left(\frac{3}{5}\right)\) | \(e\left(\frac{7}{26}\right)\) | \(e\left(\frac{19}{26}\right)\) |