Basic properties
Modulus: | \(6025\) | |
Conductor: | \(1205\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(80\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{1205}(702,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | no | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6025.hb
\(\chi_{6025}(57,\cdot)\) \(\chi_{6025}(93,\cdot)\) \(\chi_{6025}(168,\cdot)\) \(\chi_{6025}(218,\cdot)\) \(\chi_{6025}(618,\cdot)\) \(\chi_{6025}(907,\cdot)\) \(\chi_{6025}(1007,\cdot)\) \(\chi_{6025}(1307,\cdot)\) \(\chi_{6025}(1343,\cdot)\) \(\chi_{6025}(1418,\cdot)\) \(\chi_{6025}(1843,\cdot)\) \(\chi_{6025}(1907,\cdot)\) \(\chi_{6025}(2143,\cdot)\) \(\chi_{6025}(2918,\cdot)\) \(\chi_{6025}(3032,\cdot)\) \(\chi_{6025}(3218,\cdot)\) \(\chi_{6025}(3257,\cdot)\) \(\chi_{6025}(3357,\cdot)\) \(\chi_{6025}(3407,\cdot)\) \(\chi_{6025}(3582,\cdot)\) \(\chi_{6025}(3632,\cdot)\) \(\chi_{6025}(3643,\cdot)\) \(\chi_{6025}(3718,\cdot)\) \(\chi_{6025}(3732,\cdot)\) \(\chi_{6025}(3957,\cdot)\) \(\chi_{6025}(4443,\cdot)\) \(\chi_{6025}(4843,\cdot)\) \(\chi_{6025}(4893,\cdot)\) \(\chi_{6025}(4968,\cdot)\) \(\chi_{6025}(5082,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{80})$ |
Fixed field: | Number field defined by a degree 80 polynomial |
Values on generators
\((2652,2176)\) → \((i,e\left(\frac{21}{80}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(13\) |
\( \chi_{ 6025 }(1907, a) \) | \(1\) | \(1\) | \(e\left(\frac{1}{8}\right)\) | \(e\left(\frac{21}{40}\right)\) | \(i\) | \(e\left(\frac{13}{20}\right)\) | \(e\left(\frac{41}{80}\right)\) | \(e\left(\frac{3}{8}\right)\) | \(e\left(\frac{1}{20}\right)\) | \(e\left(\frac{9}{16}\right)\) | \(e\left(\frac{31}{40}\right)\) | \(e\left(\frac{7}{80}\right)\) |