Basic properties
Modulus: | \(6027\) | |
Conductor: | \(6027\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(280\) | 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 6027.ep
\(\chi_{6027}(29,\cdot)\) \(\chi_{6027}(71,\cdot)\) \(\chi_{6027}(134,\cdot)\) \(\chi_{6027}(176,\cdot)\) \(\chi_{6027}(218,\cdot)\) \(\chi_{6027}(239,\cdot)\) \(\chi_{6027}(281,\cdot)\) \(\chi_{6027}(302,\cdot)\) \(\chi_{6027}(386,\cdot)\) \(\chi_{6027}(470,\cdot)\) \(\chi_{6027}(596,\cdot)\) \(\chi_{6027}(680,\cdot)\) \(\chi_{6027}(764,\cdot)\) \(\chi_{6027}(827,\cdot)\) \(\chi_{6027}(848,\cdot)\) \(\chi_{6027}(890,\cdot)\) \(\chi_{6027}(995,\cdot)\) \(\chi_{6027}(1037,\cdot)\) \(\chi_{6027}(1100,\cdot)\) \(\chi_{6027}(1142,\cdot)\) \(\chi_{6027}(1163,\cdot)\) \(\chi_{6027}(1247,\cdot)\) \(\chi_{6027}(1331,\cdot)\) \(\chi_{6027}(1457,\cdot)\) \(\chi_{6027}(1541,\cdot)\) \(\chi_{6027}(1625,\cdot)\) \(\chi_{6027}(1646,\cdot)\) \(\chi_{6027}(1688,\cdot)\) \(\chi_{6027}(1709,\cdot)\) \(\chi_{6027}(1751,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{280})$ |
Fixed field: | Number field defined by a degree 280 polynomial (not computed) |
Values on generators
\((4019,493,2794)\) → \((-1,e\left(\frac{4}{7}\right),e\left(\frac{31}{40}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(11\) | \(13\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 6027 }(218, a) \) | \(1\) | \(1\) | \(e\left(\frac{71}{140}\right)\) | \(e\left(\frac{1}{70}\right)\) | \(e\left(\frac{17}{140}\right)\) | \(e\left(\frac{73}{140}\right)\) | \(e\left(\frac{22}{35}\right)\) | \(e\left(\frac{191}{280}\right)\) | \(e\left(\frac{247}{280}\right)\) | \(e\left(\frac{1}{35}\right)\) | \(e\left(\frac{101}{280}\right)\) | \(e\left(\frac{39}{40}\right)\) |