Family Information
| Genus: | $5$ |
| Dimension of the family: | $1$ |
Cover
| Quotient genus: | $0$ |
| Number of branch points: | $4$ |
| Signature: | $[ 0; 2, 2, 6, 6 ]$ |
Group
| Name: | $C_2\times C_6$ |
| Identifier: | $[12,5]$ |
Conjugacy class(es) of Refined passports
| Refined passport label | Conjugacy classes |
|---|---|
| 5.12-5.0.2-2-6-6.1 | 2, 2, 9, 10 |
| 5.12-5.0.2-2-6-6.2 | 2, 2, 11, 12 |
| 5.12-5.0.2-2-6-6.3 | 2, 3, 7, 10 |
| 5.12-5.0.2-2-6-6.4 | 2, 3, 8, 9 |
| 5.12-5.0.2-2-6-6.5 | 2, 4, 7, 12 |
| 5.12-5.0.2-2-6-6.6 | 2, 4, 8, 11 |
| 5.12-5.0.2-2-6-6.7 | 3, 3, 7, 8 |
| 5.12-5.0.2-2-6-6.8 | 3, 3, 11, 12 |
| 5.12-5.0.2-2-6-6.9 | 3, 4, 9, 12 |
| 5.12-5.0.2-2-6-6.10 | 3, 4, 10, 11 |
| 5.12-5.0.2-2-6-6.11 | 4, 4, 7, 8 |
| 5.12-5.0.2-2-6-6.12 | 4, 4, 9, 10 |
Displaying representatives for 2 topologically inequivalent actions.
5.12-5.0.2-2-6-6.1.1| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,8,3,7,2,9) (4,11,6,10,5,12) | |
| (1,9,2,7,3,8) (4,12,5,10,6,11) |
5.12-5.0.2-2-6-6.3.1
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) | |
| (1,5,3,4,2,6) (7,11,9,10,8,12) | |
| (1,9,2,7,3,8) (4,12,5,10,6,11) |