Basic properties
Modulus: | \(4928\) | |
Conductor: | \(4928\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(240\) | 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 4928.fx
\(\chi_{4928}(3,\cdot)\) \(\chi_{4928}(59,\cdot)\) \(\chi_{4928}(75,\cdot)\) \(\chi_{4928}(115,\cdot)\) \(\chi_{4928}(339,\cdot)\) \(\chi_{4928}(355,\cdot)\) \(\chi_{4928}(411,\cdot)\) \(\chi_{4928}(467,\cdot)\) \(\chi_{4928}(619,\cdot)\) \(\chi_{4928}(675,\cdot)\) \(\chi_{4928}(691,\cdot)\) \(\chi_{4928}(731,\cdot)\) \(\chi_{4928}(955,\cdot)\) \(\chi_{4928}(971,\cdot)\) \(\chi_{4928}(1027,\cdot)\) \(\chi_{4928}(1083,\cdot)\) \(\chi_{4928}(1235,\cdot)\) \(\chi_{4928}(1291,\cdot)\) \(\chi_{4928}(1307,\cdot)\) \(\chi_{4928}(1347,\cdot)\) \(\chi_{4928}(1571,\cdot)\) \(\chi_{4928}(1587,\cdot)\) \(\chi_{4928}(1643,\cdot)\) \(\chi_{4928}(1699,\cdot)\) \(\chi_{4928}(1851,\cdot)\) \(\chi_{4928}(1907,\cdot)\) \(\chi_{4928}(1923,\cdot)\) \(\chi_{4928}(1963,\cdot)\) \(\chi_{4928}(2187,\cdot)\) \(\chi_{4928}(2203,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((4159,1541,2817,3137)\) → \((-1,e\left(\frac{7}{16}\right),e\left(\frac{1}{6}\right),e\left(\frac{4}{5}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(9\) | \(13\) | \(15\) | \(17\) | \(19\) | \(23\) | \(25\) | \(27\) |
\( \chi_{ 4928 }(1235, a) \) | \(1\) | \(1\) | \(e\left(\frac{91}{240}\right)\) | \(e\left(\frac{113}{240}\right)\) | \(e\left(\frac{91}{120}\right)\) | \(e\left(\frac{69}{80}\right)\) | \(e\left(\frac{17}{20}\right)\) | \(e\left(\frac{37}{60}\right)\) | \(e\left(\frac{191}{240}\right)\) | \(e\left(\frac{23}{24}\right)\) | \(e\left(\frac{113}{120}\right)\) | \(e\left(\frac{11}{80}\right)\) |