Family Information
| Genus: | $3$ |
| Dimension of the family: | $0$ |
Cover
| Quotient genus: | $0$ |
| Number of branch points: | $3$ |
| Signature: | $[ 0; 2, 4, 8 ]$ |
Group
| Name: | $D_4:C_4$ |
| Identifier: | $[32,9]$ |
Conjugacy class(es) of Refined passports
| Refined passport label | Conjugacy classes |
|---|---|
| 3.32-9.0.2-4-8.1 | 5, 9, 12 |
| 3.32-9.0.2-4-8.2 | 5, 9, 14 |
| 3.32-9.0.2-4-8.3 | 5, 10, 11 |
| 3.32-9.0.2-4-8.4 | 5, 10, 13 |
| 3.32-9.0.2-4-8.5 | 6, 9, 11 |
| 3.32-9.0.2-4-8.6 | 6, 9, 13 |
| 3.32-9.0.2-4-8.7 | 6, 10, 12 |
| 3.32-9.0.2-4-8.8 | 6, 10, 14 |
Displaying the representative for the unique action up to topological equivalence.
3.32-9.0.2-4-8.1.1| (1,9) (2,10) (3,11) (4,12) (5,14) (6,13) (7,16) (8,15) (17,25) (18,26) (19,27) (20,28) (21,30) (22,29) (23,32) (24,31) | |
| (1,18,3,20) (2,17,4,19) (5,21,7,23) (6,22,8,24) (9,30,11,32) (10,29,12,31) (13,26,15,28) (14,25,16,27) | |
| (1,28,8,29,2,27,7,30) (3,26,6,31,4,25,5,32) (9,23,16,17,10,24,15,18) (11,21,14,19,12,22,13,20) |