Basic properties
Modulus: | \(8021\) | |
Conductor: | \(8021\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(924\) | 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.dy
\(\chi_{8021}(9,\cdot)\) \(\chi_{8021}(22,\cdot)\) \(\chi_{8021}(74,\cdot)\) \(\chi_{8021}(87,\cdot)\) \(\chi_{8021}(159,\cdot)\) \(\chi_{8021}(230,\cdot)\) \(\chi_{8021}(269,\cdot)\) \(\chi_{8021}(276,\cdot)\) \(\chi_{8021}(289,\cdot)\) \(\chi_{8021}(321,\cdot)\) \(\chi_{8021}(328,\cdot)\) \(\chi_{8021}(341,\cdot)\) \(\chi_{8021}(458,\cdot)\) \(\chi_{8021}(529,\cdot)\) \(\chi_{8021}(705,\cdot)\) \(\chi_{8021}(776,\cdot)\) \(\chi_{8021}(893,\cdot)\) \(\chi_{8021}(906,\cdot)\) \(\chi_{8021}(913,\cdot)\) \(\chi_{8021}(945,\cdot)\) \(\chi_{8021}(958,\cdot)\) \(\chi_{8021}(965,\cdot)\) \(\chi_{8021}(1004,\cdot)\) \(\chi_{8021}(1075,\cdot)\) \(\chi_{8021}(1147,\cdot)\) \(\chi_{8021}(1160,\cdot)\) \(\chi_{8021}(1212,\cdot)\) \(\chi_{8021}(1225,\cdot)\) \(\chi_{8021}(1264,\cdot)\) \(\chi_{8021}(1290,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{924})$ |
Fixed field: | Number field defined by a degree 924 polynomial (not computed) |
Values on generators
\((6788,2471)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{1}{308}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 8021 }(9, a) \) | \(1\) | \(1\) | \(e\left(\frac{13}{231}\right)\) | \(e\left(\frac{619}{924}\right)\) | \(e\left(\frac{26}{231}\right)\) | \(e\left(\frac{13}{308}\right)\) | \(e\left(\frac{61}{84}\right)\) | \(e\left(\frac{367}{462}\right)\) | \(e\left(\frac{13}{77}\right)\) | \(e\left(\frac{157}{462}\right)\) | \(e\left(\frac{13}{132}\right)\) | \(e\left(\frac{17}{462}\right)\) |