Basic properties
| Modulus: | \(1350\) | |
| Conductor: | \(5\) |
|
| Order: | \(4\) |
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{5}(2,\cdot)\) |
|
| Minimal: | yes | |
| Parity: | odd |
|
Galois orbit 1350.g
\(\chi_{1350}(757,\cdot)\) \(\chi_{1350}(1243,\cdot)\)
Related number fields
| Field of values: | \(\mathbb{Q}(i)\) |
| Fixed field: | \(\Q(\zeta_{5})\) |
Values on generators
\((1001,1027)\) → \((1,i)\)
First values
| \(a\) | \(-1\) | \(1\) | \(7\) | \(11\) | \(13\) | \(17\) | \(19\) | \(23\) | \(29\) | \(31\) | \(37\) | \(41\) |
| \( \chi_{ 1350 }(757, a) \) | \(-1\) | \(1\) | \(i\) | \(1\) | \(-i\) | \(i\) | \(-1\) | \(-i\) | \(-1\) | \(1\) | \(i\) | \(1\) |