Basic properties
| Modulus: | \(1740\) | |
| Conductor: | \(145\) |
|
| Order: | \(4\) |
|
| Real: | no | |
| Primitive: | no, induced from 145.e |
|
| Minimal: | yes | |
| Parity: | even |
|
Related number fields
| Field of values: | \(\mathbb{Q}(i)\) |
| Fixed field: | 4.4.3048625.2 |
Characters in Galois orbit
| Character | \(-1\) | \(1\) | \(7\) | \(11\) | \(13\) | \(17\) | \(19\) | \(23\) | \(31\) | \(37\) | \(41\) | \(43\) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| \(\chi_{1740}(133,\cdot)\) | \(1\) | \(1\) | \(-i\) | \(-i\) | \(-i\) | \(-1\) | \(i\) | \(i\) | \(-i\) | \(1\) | \(i\) | \(1\) |
| \(\chi_{1740}(157,\cdot)\) | \(1\) | \(1\) | \(i\) | \(i\) | \(i\) | \(-1\) | \(-i\) | \(-i\) | \(i\) | \(1\) | \(-i\) | \(1\) |