Basic properties
Modulus: | \(8021\) | |
Conductor: | \(8021\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(462\) | 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 8021.dt
\(\chi_{8021}(43,\cdot)\) \(\chi_{8021}(49,\cdot)\) \(\chi_{8021}(121,\cdot)\) \(\chi_{8021}(179,\cdot)\) \(\chi_{8021}(283,\cdot)\) \(\chi_{8021}(309,\cdot)\) \(\chi_{8021}(361,\cdot)\) \(\chi_{8021}(660,\cdot)\) \(\chi_{8021}(738,\cdot)\) \(\chi_{8021}(771,\cdot)\) \(\chi_{8021}(784,\cdot)\) \(\chi_{8021}(836,\cdot)\) \(\chi_{8021}(901,\cdot)\) \(\chi_{8021}(992,\cdot)\) \(\chi_{8021}(1148,\cdot)\) \(\chi_{8021}(1369,\cdot)\) \(\chi_{8021}(1388,\cdot)\) \(\chi_{8021}(1401,\cdot)\) \(\chi_{8021}(1453,\cdot)\) \(\chi_{8021}(1460,\cdot)\) \(\chi_{8021}(1518,\cdot)\) \(\chi_{8021}(1609,\cdot)\) \(\chi_{8021}(1681,\cdot)\) \(\chi_{8021}(1746,\cdot)\) \(\chi_{8021}(1765,\cdot)\) \(\chi_{8021}(1902,\cdot)\) \(\chi_{8021}(1986,\cdot)\) \(\chi_{8021}(2077,\cdot)\) \(\chi_{8021}(2110,\cdot)\) \(\chi_{8021}(2136,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{231})$ |
Fixed field: | Number field defined by a degree 462 polynomial (not computed) |
Values on generators
\((6788,2471)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{37}{154}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 8021 }(784, a) \) | \(1\) | \(1\) | \(e\left(\frac{461}{462}\right)\) | \(e\left(\frac{419}{462}\right)\) | \(e\left(\frac{230}{231}\right)\) | \(e\left(\frac{48}{77}\right)\) | \(e\left(\frac{19}{21}\right)\) | \(e\left(\frac{439}{462}\right)\) | \(e\left(\frac{153}{154}\right)\) | \(e\left(\frac{188}{231}\right)\) | \(e\left(\frac{41}{66}\right)\) | \(e\left(\frac{257}{462}\right)\) |