Basic properties
| Modulus: | \(8021\) | |
| Conductor: | \(8021\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(88\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
| Real: | no | |
| Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
| Minimal: | yes | |
| Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 8021.cr
\(\chi_{8021}(291,\cdot)\) \(\chi_{8021}(307,\cdot)\) \(\chi_{8021}(879,\cdot)\) \(\chi_{8021}(1006,\cdot)\) \(\chi_{8021}(1084,\cdot)\) \(\chi_{8021}(1516,\cdot)\) \(\chi_{8021}(1565,\cdot)\) \(\chi_{8021}(1617,\cdot)\) \(\chi_{8021}(1633,\cdot)\) \(\chi_{8021}(1659,\cdot)\) \(\chi_{8021}(1750,\cdot)\) \(\chi_{8021}(1841,\cdot)\) \(\chi_{8021}(1880,\cdot)\) \(\chi_{8021}(2085,\cdot)\) \(\chi_{8021}(2137,\cdot)\) \(\chi_{8021}(2439,\cdot)\) \(\chi_{8021}(2478,\cdot)\) \(\chi_{8021}(2569,\cdot)\) \(\chi_{8021}(2618,\cdot)\) \(\chi_{8021}(2660,\cdot)\) \(\chi_{8021}(2686,\cdot)\) \(\chi_{8021}(2696,\cdot)\) \(\chi_{8021}(2803,\cdot)\) \(\chi_{8021}(3411,\cdot)\) \(\chi_{8021}(3440,\cdot)\) \(\chi_{8021}(3775,\cdot)\) \(\chi_{8021}(3983,\cdot)\) \(\chi_{8021}(4012,\cdot)\) \(\chi_{8021}(4230,\cdot)\) \(\chi_{8021}(5348,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{88})$ |
| Fixed field: | Number field defined by a degree 88 polynomial |
Values on generators
\((6788,2471)\) → \((-i,e\left(\frac{49}{88}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 8021 }(291, a) \) | \(1\) | \(1\) | \(e\left(\frac{3}{44}\right)\) | \(e\left(\frac{49}{88}\right)\) | \(e\left(\frac{3}{22}\right)\) | \(e\left(\frac{43}{88}\right)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{7}{22}\right)\) | \(e\left(\frac{9}{44}\right)\) | \(e\left(\frac{5}{44}\right)\) | \(e\left(\frac{49}{88}\right)\) | \(e\left(\frac{8}{11}\right)\) |