Basic properties
Modulus: | \(6027\) | |
Conductor: | \(6027\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(420\) | 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
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Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6027.er
\(\chi_{6027}(5,\cdot)\) \(\chi_{6027}(131,\cdot)\) \(\chi_{6027}(143,\cdot)\) \(\chi_{6027}(185,\cdot)\) \(\chi_{6027}(248,\cdot)\) \(\chi_{6027}(320,\cdot)\) \(\chi_{6027}(446,\cdot)\) \(\chi_{6027}(500,\cdot)\) \(\chi_{6027}(572,\cdot)\) \(\chi_{6027}(635,\cdot)\) \(\chi_{6027}(677,\cdot)\) \(\chi_{6027}(689,\cdot)\) \(\chi_{6027}(740,\cdot)\) \(\chi_{6027}(866,\cdot)\) \(\chi_{6027}(941,\cdot)\) \(\chi_{6027}(992,\cdot)\) \(\chi_{6027}(1004,\cdot)\) \(\chi_{6027}(1046,\cdot)\) \(\chi_{6027}(1181,\cdot)\) \(\chi_{6027}(1235,\cdot)\) \(\chi_{6027}(1307,\cdot)\) \(\chi_{6027}(1361,\cdot)\) \(\chi_{6027}(1433,\cdot)\) \(\chi_{6027}(1496,\cdot)\) \(\chi_{6027}(1601,\cdot)\) \(\chi_{6027}(1676,\cdot)\) \(\chi_{6027}(1727,\cdot)\) \(\chi_{6027}(1802,\cdot)\) \(\chi_{6027}(1853,\cdot)\) \(\chi_{6027}(1865,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{420})$ |
Fixed field: | Number field defined by a degree 420 polynomial (not computed) |
Values on generators
\((4019,493,2794)\) → \((-1,e\left(\frac{41}{42}\right),e\left(\frac{1}{20}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(11\) | \(13\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 6027 }(1307, a) \) | \(1\) | \(1\) | \(e\left(\frac{19}{105}\right)\) | \(e\left(\frac{38}{105}\right)\) | \(e\left(\frac{191}{210}\right)\) | \(e\left(\frac{19}{35}\right)\) | \(e\left(\frac{19}{210}\right)\) | \(e\left(\frac{293}{420}\right)\) | \(e\left(\frac{107}{140}\right)\) | \(e\left(\frac{76}{105}\right)\) | \(e\left(\frac{233}{420}\right)\) | \(e\left(\frac{37}{60}\right)\) |