Basic properties
Modulus: | \(6026\) | |
Conductor: | \(3013\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(143\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{3013}(39,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 6026.y
\(\chi_{6026}(39,\cdot)\) \(\chi_{6026}(193,\cdot)\) \(\chi_{6026}(211,\cdot)\) \(\chi_{6026}(215,\cdot)\) \(\chi_{6026}(243,\cdot)\) \(\chi_{6026}(301,\cdot)\) \(\chi_{6026}(307,\cdot)\) \(\chi_{6026}(325,\cdot)\) \(\chi_{6026}(361,\cdot)\) \(\chi_{6026}(445,\cdot)\) \(\chi_{6026}(453,\cdot)\) \(\chi_{6026}(455,\cdot)\) \(\chi_{6026}(473,\cdot)\) \(\chi_{6026}(587,\cdot)\) \(\chi_{6026}(623,\cdot)\) \(\chi_{6026}(637,\cdot)\) \(\chi_{6026}(715,\cdot)\) \(\chi_{6026}(717,\cdot)\) \(\chi_{6026}(739,\cdot)\) \(\chi_{6026}(767,\cdot)\) \(\chi_{6026}(831,\cdot)\) \(\chi_{6026}(899,\cdot)\) \(\chi_{6026}(969,\cdot)\) \(\chi_{6026}(979,\cdot)\) \(\chi_{6026}(997,\cdot)\) \(\chi_{6026}(1001,\cdot)\) \(\chi_{6026}(1087,\cdot)\) \(\chi_{6026}(1093,\cdot)\) \(\chi_{6026}(1231,\cdot)\) \(\chi_{6026}(1291,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{143})$ |
Fixed field: | Number field defined by a degree 143 polynomial (not computed) |
Values on generators
\((787,4325)\) → \((e\left(\frac{4}{11}\right),e\left(\frac{9}{13}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(3\) | \(5\) | \(7\) | \(9\) | \(11\) | \(13\) | \(15\) | \(17\) | \(19\) | \(21\) |
\( \chi_{ 6026 }(39, a) \) | \(1\) | \(1\) | \(e\left(\frac{95}{143}\right)\) | \(e\left(\frac{30}{143}\right)\) | \(e\left(\frac{53}{143}\right)\) | \(e\left(\frac{47}{143}\right)\) | \(e\left(\frac{6}{143}\right)\) | \(e\left(\frac{79}{143}\right)\) | \(e\left(\frac{125}{143}\right)\) | \(e\left(\frac{45}{143}\right)\) | \(e\left(\frac{98}{143}\right)\) | \(e\left(\frac{5}{143}\right)\) |