Basic properties
Modulus: | \(8021\) | |
Conductor: | \(8021\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(154\) | 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 8021.cz
\(\chi_{8021}(51,\cdot)\) \(\chi_{8021}(259,\cdot)\) \(\chi_{8021}(285,\cdot)\) \(\chi_{8021}(324,\cdot)\) \(\chi_{8021}(350,\cdot)\) \(\chi_{8021}(493,\cdot)\) \(\chi_{8021}(519,\cdot)\) \(\chi_{8021}(649,\cdot)\) \(\chi_{8021}(688,\cdot)\) \(\chi_{8021}(1013,\cdot)\) \(\chi_{8021}(1689,\cdot)\) \(\chi_{8021}(1936,\cdot)\) \(\chi_{8021}(2092,\cdot)\) \(\chi_{8021}(2391,\cdot)\) \(\chi_{8021}(2404,\cdot)\) \(\chi_{8021}(2664,\cdot)\) \(\chi_{8021}(2716,\cdot)\) \(\chi_{8021}(2755,\cdot)\) \(\chi_{8021}(2833,\cdot)\) \(\chi_{8021}(3002,\cdot)\) \(\chi_{8021}(3093,\cdot)\) \(\chi_{8021}(3132,\cdot)\) \(\chi_{8021}(3184,\cdot)\) \(\chi_{8021}(3353,\cdot)\) \(\chi_{8021}(3600,\cdot)\) \(\chi_{8021}(3639,\cdot)\) \(\chi_{8021}(3704,\cdot)\) \(\chi_{8021}(3769,\cdot)\) \(\chi_{8021}(3873,\cdot)\) \(\chi_{8021}(3912,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{77})$ |
Fixed field: | Number field defined by a degree 154 polynomial (not computed) |
Values on generators
\((6788,2471)\) → \((-1,e\left(\frac{97}{154}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 8021 }(51, a) \) | \(1\) | \(1\) | \(e\left(\frac{13}{154}\right)\) | \(e\left(\frac{97}{154}\right)\) | \(e\left(\frac{13}{77}\right)\) | \(e\left(\frac{53}{77}\right)\) | \(e\left(\frac{5}{7}\right)\) | \(e\left(\frac{145}{154}\right)\) | \(e\left(\frac{39}{154}\right)\) | \(e\left(\frac{20}{77}\right)\) | \(e\left(\frac{17}{22}\right)\) | \(e\left(\frac{47}{154}\right)\) |