Basic properties
Modulus: | \(6017\) | |
Conductor: | \(547\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(91\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{547}(442,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6017.bl
\(\chi_{6017}(100,\cdot)\) \(\chi_{6017}(309,\cdot)\) \(\chi_{6017}(661,\cdot)\) \(\chi_{6017}(771,\cdot)\) \(\chi_{6017}(815,\cdot)\) \(\chi_{6017}(837,\cdot)\) \(\chi_{6017}(969,\cdot)\) \(\chi_{6017}(991,\cdot)\) \(\chi_{6017}(1123,\cdot)\) \(\chi_{6017}(1178,\cdot)\) \(\chi_{6017}(1255,\cdot)\) \(\chi_{6017}(1299,\cdot)\) \(\chi_{6017}(1310,\cdot)\) \(\chi_{6017}(1376,\cdot)\) \(\chi_{6017}(1409,\cdot)\) \(\chi_{6017}(1508,\cdot)\) \(\chi_{6017}(1552,\cdot)\) \(\chi_{6017}(1651,\cdot)\) \(\chi_{6017}(1772,\cdot)\) \(\chi_{6017}(1904,\cdot)\) \(\chi_{6017}(2157,\cdot)\) \(\chi_{6017}(2212,\cdot)\) \(\chi_{6017}(2223,\cdot)\) \(\chi_{6017}(2278,\cdot)\) \(\chi_{6017}(2355,\cdot)\) \(\chi_{6017}(2465,\cdot)\) \(\chi_{6017}(2509,\cdot)\) \(\chi_{6017}(2597,\cdot)\) \(\chi_{6017}(2630,\cdot)\) \(\chi_{6017}(2641,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{91})$ |
Fixed field: | Number field defined by a degree 91 polynomial |
Values on generators
\((3830,2190)\) → \((1,e\left(\frac{73}{91}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
\( \chi_{ 6017 }(2630, a) \) | \(1\) | \(1\) | \(e\left(\frac{73}{91}\right)\) | \(e\left(\frac{1}{7}\right)\) | \(e\left(\frac{55}{91}\right)\) | \(e\left(\frac{54}{91}\right)\) | \(e\left(\frac{86}{91}\right)\) | \(e\left(\frac{57}{91}\right)\) | \(e\left(\frac{37}{91}\right)\) | \(e\left(\frac{2}{7}\right)\) | \(e\left(\frac{36}{91}\right)\) | \(e\left(\frac{68}{91}\right)\) |