Basic properties
| Modulus: | \(1530\) | |
| Conductor: | \(255\) |
|
| Order: | \(4\) |
|
| Real: | no | |
| Primitive: | no, induced from \(\chi_{255}(242,\cdot)\) |
|
| Minimal: | yes | |
| Parity: | even |
|
Galois orbit 1530.j
\(\chi_{1530}(863,\cdot)\) \(\chi_{1530}(1007,\cdot)\)
Related number fields
| Field of values: | \(\mathbb{Q}(i)\) |
| Fixed field: | 4.4.5527125.2 |
Values on generators
\((1361,307,1261)\) → \((-1,i,-i)\)
First values
| \(a\) | \(-1\) | \(1\) | \(7\) | \(11\) | \(13\) | \(19\) | \(23\) | \(29\) | \(31\) | \(37\) | \(41\) | \(43\) |
| \( \chi_{ 1530 }(1007, a) \) | \(1\) | \(1\) | \(-1\) | \(-i\) | \(-i\) | \(1\) | \(-1\) | \(-i\) | \(-i\) | \(1\) | \(-i\) | \(i\) |