Family Information
| Genus: | $4$ |
| Dimension of the family: | $1$ |
Cover
| Quotient genus: | $0$ |
| Number of branch points: | $4$ |
| Signature: | $[ 0; 2, 2, 2, 5 ]$ |
Group
| Name: | $D_{10}$ |
| Identifier: | $[20,4]$ |
Conjugacy class(es) of Refined passports
| Refined passport label | Conjugacy classes |
|---|---|
| 4.20-4.0.2-2-2-5.1 | 2, 3, 4, 5 |
| 4.20-4.0.2-2-2-5.2 | 2, 3, 4, 6 |
Displaying the representative for the unique action up to topological equivalence.
4.20-4.0.2-2-2-5.1.1| (1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
| (1,11) (2,15) (3,14) (4,13) (5,12) (6,16) (7,20) (8,19) (9,18) (10,17) | |
| (1,20) (2,19) (3,18) (4,17) (5,16) (6,15) (7,14) (8,13) (9,12) (10,11) | |
| (1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) (16,17,18,19,20) |