Basic properties
Modulus: | \(6025\) | |
Conductor: | \(1205\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(240\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{1205}(793,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | no | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6025.jo
\(\chi_{6025}(132,\cdot)\) \(\chi_{6025}(157,\cdot)\) \(\chi_{6025}(368,\cdot)\) \(\chi_{6025}(443,\cdot)\) \(\chi_{6025}(568,\cdot)\) \(\chi_{6025}(793,\cdot)\) \(\chi_{6025}(807,\cdot)\) \(\chi_{6025}(832,\cdot)\) \(\chi_{6025}(1032,\cdot)\) \(\chi_{6025}(1068,\cdot)\) \(\chi_{6025}(1093,\cdot)\) \(\chi_{6025}(1143,\cdot)\) \(\chi_{6025}(1168,\cdot)\) \(\chi_{6025}(1257,\cdot)\) \(\chi_{6025}(1432,\cdot)\) \(\chi_{6025}(1632,\cdot)\) \(\chi_{6025}(1782,\cdot)\) \(\chi_{6025}(1818,\cdot)\) \(\chi_{6025}(1857,\cdot)\) \(\chi_{6025}(1882,\cdot)\) \(\chi_{6025}(2118,\cdot)\) \(\chi_{6025}(2182,\cdot)\) \(\chi_{6025}(2268,\cdot)\) \(\chi_{6025}(2318,\cdot)\) \(\chi_{6025}(2332,\cdot)\) \(\chi_{6025}(2368,\cdot)\) \(\chi_{6025}(2582,\cdot)\) \(\chi_{6025}(2682,\cdot)\) \(\chi_{6025}(2693,\cdot)\) \(\chi_{6025}(2707,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{240})$ |
Fixed field: | Number field defined by a degree 240 polynomial (not computed) |
Values on generators
\((2652,2176)\) → \((-i,e\left(\frac{89}{240}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(793, a) \) | \(1\) | \(1\) | \(e\left(\frac{5}{24}\right)\) | \(e\left(\frac{89}{120}\right)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{19}{20}\right)\) | \(e\left(\frac{29}{240}\right)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{29}{60}\right)\) | \(e\left(\frac{13}{48}\right)\) | \(e\left(\frac{19}{120}\right)\) | \(e\left(\frac{163}{240}\right)\) |