Passport invariants
| Degree: | $4$ |
| Monodromy group: | $S_4$ |
| Genus: | $1$ |
| Geometry type: | hyperbolic |
| Primitive: | yes |
Conjugacy class data
The order and cycle type of an element in each of the conjugacy classes $C_0, C_1, C_{\infty}$ of the passport containing this orbit.
| Order | Partition |
| $4$ | $4$ |
| $4$ | $4$ |
| $3$ | $3, 1$ |
Galois orbits
| Passport size: | $1$ | |
| Number of Galois orbits: | $1$ |
| Label | Orbit size | Base field | Representative triple |
| a | $1$ | \(\Q\) | $(1,2,3,4),(1,3,4,2),(1,3,4)$ |