Basic properties
Modulus: | \(6017\) | |
Conductor: | \(6017\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(390\) | 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.by
\(\chi_{6017}(83,\cdot)\) \(\chi_{6017}(106,\cdot)\) \(\chi_{6017}(128,\cdot)\) \(\chi_{6017}(145,\cdot)\) \(\chi_{6017}(222,\cdot)\) \(\chi_{6017}(314,\cdot)\) \(\chi_{6017}(316,\cdot)\) \(\chi_{6017}(348,\cdot)\) \(\chi_{6017}(426,\cdot)\) \(\chi_{6017}(536,\cdot)\) \(\chi_{6017}(798,\cdot)\) \(\chi_{6017}(855,\cdot)\) \(\chi_{6017}(877,\cdot)\) \(\chi_{6017}(965,\cdot)\) \(\chi_{6017}(998,\cdot)\) \(\chi_{6017}(1040,\cdot)\) \(\chi_{6017}(1047,\cdot)\) \(\chi_{6017}(1073,\cdot)\) \(\chi_{6017}(1196,\cdot)\) \(\chi_{6017}(1239,\cdot)\) \(\chi_{6017}(1316,\cdot)\) \(\chi_{6017}(1339,\cdot)\) \(\chi_{6017}(1410,\cdot)\) \(\chi_{6017}(1460,\cdot)\) \(\chi_{6017}(1520,\cdot)\) \(\chi_{6017}(1630,\cdot)\) \(\chi_{6017}(1667,\cdot)\) \(\chi_{6017}(1700,\cdot)\) \(\chi_{6017}(1724,\cdot)\) \(\chi_{6017}(1949,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{195})$ |
Fixed field: | Number field defined by a degree 390 polynomial (not computed) |
Values on generators
\((3830,2190)\) → \((e\left(\frac{9}{10}\right),e\left(\frac{67}{78}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
\( \chi_{ 6017 }(1040, a) \) | \(1\) | \(1\) | \(e\left(\frac{148}{195}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{101}{195}\right)\) | \(e\left(\frac{139}{390}\right)\) | \(e\left(\frac{179}{390}\right)\) | \(e\left(\frac{151}{195}\right)\) | \(e\left(\frac{18}{65}\right)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{3}{26}\right)\) | \(e\left(\frac{17}{78}\right)\) |