Basic properties
Modulus: | \(6043\) | |
Conductor: | \(6043\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(159\) | 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 6043.k
\(\chi_{6043}(4,\cdot)\) \(\chi_{6043}(16,\cdot)\) \(\chi_{6043}(256,\cdot)\) \(\chi_{6043}(462,\cdot)\) \(\chi_{6043}(467,\cdot)\) \(\chi_{6043}(483,\cdot)\) \(\chi_{6043}(513,\cdot)\) \(\chi_{6043}(525,\cdot)\) \(\chi_{6043}(541,\cdot)\) \(\chi_{6043}(695,\cdot)\) \(\chi_{6043}(697,\cdot)\) \(\chi_{6043}(830,\cdot)\) \(\chi_{6043}(858,\cdot)\) \(\chi_{6043}(890,\cdot)\) \(\chi_{6043}(893,\cdot)\) \(\chi_{6043}(897,\cdot)\) \(\chi_{6043}(975,\cdot)\) \(\chi_{6043}(986,\cdot)\) \(\chi_{6043}(1024,\cdot)\) \(\chi_{6043}(1221,\cdot)\) \(\chi_{6043}(1294,\cdot)\) \(\chi_{6043}(1305,\cdot)\) \(\chi_{6043}(1349,\cdot)\) \(\chi_{6043}(1407,\cdot)\) \(\chi_{6043}(1453,\cdot)\) \(\chi_{6043}(1511,\cdot)\) \(\chi_{6043}(1642,\cdot)\) \(\chi_{6043}(1646,\cdot)\) \(\chi_{6043}(1713,\cdot)\) \(\chi_{6043}(1734,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{159})$ |
Fixed field: | Number field defined by a degree 159 polynomial (not computed) |
Values on generators
\(5\) → \(e\left(\frac{62}{159}\right)\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 6043 }(1221, a) \) | \(1\) | \(1\) | \(e\left(\frac{32}{159}\right)\) | \(e\left(\frac{13}{53}\right)\) | \(e\left(\frac{64}{159}\right)\) | \(e\left(\frac{62}{159}\right)\) | \(e\left(\frac{71}{159}\right)\) | \(e\left(\frac{103}{159}\right)\) | \(e\left(\frac{32}{53}\right)\) | \(e\left(\frac{26}{53}\right)\) | \(e\left(\frac{94}{159}\right)\) | \(e\left(\frac{1}{3}\right)\) |