Basic properties
| Modulus: | \(6017\) | |
| Conductor: | \(6017\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(910\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6017.ch
\(\chi_{6017}(24,\cdot)\) \(\chi_{6017}(29,\cdot)\) \(\chi_{6017}(35,\cdot)\) \(\chi_{6017}(52,\cdot)\) \(\chi_{6017}(84,\cdot)\) \(\chi_{6017}(85,\cdot)\) \(\chi_{6017}(90,\cdot)\) \(\chi_{6017}(149,\cdot)\) \(\chi_{6017}(161,\cdot)\) \(\chi_{6017}(167,\cdot)\) \(\chi_{6017}(195,\cdot)\) \(\chi_{6017}(204,\cdot)\) \(\chi_{6017}(205,\cdot)\) \(\chi_{6017}(215,\cdot)\) \(\chi_{6017}(216,\cdot)\) \(\chi_{6017}(248,\cdot)\) \(\chi_{6017}(277,\cdot)\) \(\chi_{6017}(282,\cdot)\) \(\chi_{6017}(292,\cdot)\) \(\chi_{6017}(294,\cdot)\) \(\chi_{6017}(303,\cdot)\) \(\chi_{6017}(305,\cdot)\) \(\chi_{6017}(315,\cdot)\) \(\chi_{6017}(321,\cdot)\) \(\chi_{6017}(391,\cdot)\) \(\chi_{6017}(409,\cdot)\) \(\chi_{6017}(414,\cdot)\) \(\chi_{6017}(415,\cdot)\) \(\chi_{6017}(442,\cdot)\) \(\chi_{6017}(446,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{455})$ |
| Fixed field: | Number field defined by a degree 910 polynomial (not computed) |
Values on generators
\((3830,2190)\) → \((e\left(\frac{1}{10}\right),e\left(\frac{47}{91}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(12\) |
| \( \chi_{ 6017 }(35, a) \) | \(-1\) | \(1\) | \(e\left(\frac{561}{910}\right)\) | \(e\left(\frac{13}{35}\right)\) | \(e\left(\frac{106}{455}\right)\) | \(e\left(\frac{387}{455}\right)\) | \(e\left(\frac{899}{910}\right)\) | \(e\left(\frac{817}{910}\right)\) | \(e\left(\frac{773}{910}\right)\) | \(e\left(\frac{26}{35}\right)\) | \(e\left(\frac{85}{182}\right)\) | \(e\left(\frac{55}{91}\right)\) |