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.cq
\(\chi_{8021}(73,\cdot)\) \(\chi_{8021}(281,\cdot)\) \(\chi_{8021}(528,\cdot)\) \(\chi_{8021}(1188,\cdot)\) \(\chi_{8021}(1646,\cdot)\) \(\chi_{8021}(1747,\cdot)\) \(\chi_{8021}(1955,\cdot)\) \(\chi_{8021}(2036,\cdot)\) \(\chi_{8021}(2283,\cdot)\) \(\chi_{8021}(2514,\cdot)\) \(\chi_{8021}(2673,\cdot)\) \(\chi_{8021}(3791,\cdot)\) \(\chi_{8021}(4009,\cdot)\) \(\chi_{8021}(4038,\cdot)\) \(\chi_{8021}(4246,\cdot)\) \(\chi_{8021}(4581,\cdot)\) \(\chi_{8021}(4610,\cdot)\) \(\chi_{8021}(5218,\cdot)\) \(\chi_{8021}(5325,\cdot)\) \(\chi_{8021}(5335,\cdot)\) \(\chi_{8021}(5361,\cdot)\) \(\chi_{8021}(5403,\cdot)\) \(\chi_{8021}(5452,\cdot)\) \(\chi_{8021}(5543,\cdot)\) \(\chi_{8021}(5582,\cdot)\) \(\chi_{8021}(5884,\cdot)\) \(\chi_{8021}(5936,\cdot)\) \(\chi_{8021}(6141,\cdot)\) \(\chi_{8021}(6180,\cdot)\) \(\chi_{8021}(6271,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{88})$ |
| Fixed field: | Number field defined by a degree 88 polynomial |
Values on generators
\((6788,2471)\) → \((i,e\left(\frac{53}{88}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
| \( \chi_{ 8021 }(73, a) \) | \(1\) | \(1\) | \(e\left(\frac{1}{44}\right)\) | \(e\left(\frac{53}{88}\right)\) | \(e\left(\frac{1}{22}\right)\) | \(e\left(\frac{51}{88}\right)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{3}{11}\right)\) | \(e\left(\frac{3}{44}\right)\) | \(e\left(\frac{9}{44}\right)\) | \(e\left(\frac{53}{88}\right)\) | \(e\left(\frac{9}{22}\right)\) |