Family Information
| Genus: | $5$ |
| Dimension of the family: | $1$ |
Cover
| Quotient genus: | $0$ |
| Number of branch points: | $4$ |
| Signature: | $[ 0; 2, 2, 2, 4 ]$ |
Group
| Name: | $C_2^2\wr C_2$ |
| Identifier: | $[32,27]$ |
Conjugacy class(es) of Refined passports
| Refined passport label | Conjugacy classes |
|---|---|
| 5.32-27.0.2-2-2-4.1 | 5, 7, 11, 14 |
| 5.32-27.0.2-2-2-4.2 | 5, 8, 11, 14 |
| 5.32-27.0.2-2-2-4.3 | 5, 9, 11, 13 |
| 5.32-27.0.2-2-2-4.4 | 5, 10, 11, 13 |
| 5.32-27.0.2-2-2-4.5 | 6, 7, 11, 14 |
| 5.32-27.0.2-2-2-4.6 | 6, 8, 11, 14 |
| 5.32-27.0.2-2-2-4.7 | 6, 9, 11, 13 |
| 5.32-27.0.2-2-2-4.8 | 6, 10, 11, 13 |
| 5.32-27.0.2-2-2-4.9 | 7, 9, 11, 12 |
| 5.32-27.0.2-2-2-4.10 | 7, 10, 11, 12 |
| 5.32-27.0.2-2-2-4.11 | 8, 9, 11, 12 |
| 5.32-27.0.2-2-2-4.12 | 8, 10, 11, 12 |
Displaying the representative for the unique action up to topological equivalence.
5.32-27.0.2-2-2-4.1.1| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) (17,21) (18,22) (19,23) (20,24) (25,29) (26,30) (27,31) (28,32) | |
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) | |
| (1,17) (2,18) (3,19) (4,20) (5,22) (6,21) (7,24) (8,23) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29) | |
| (1,29,4,32) (2,30,3,31) (5,26,8,27) (6,25,7,28) (9,23,12,22) (10,24,11,21) (13,20,16,17) (14,19,15,18) |