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: | $C_4:D_4$ |
| Identifier: | $[32,28]$ |
Conjugacy class(es) of Refined passports
| Refined passport label | Conjugacy classes |
|---|---|
| 5.32-28.0.2-2-2-4.1 | 5, 7, 8, 11 |
| 5.32-28.0.2-2-2-4.2 | 5, 7, 8, 12 |
| 5.32-28.0.2-2-2-4.3 | 6, 7, 8, 11 |
| 5.32-28.0.2-2-2-4.4 | 6, 7, 8, 12 |
Displaying the representative for the unique action up to topological equivalence.
5.32-28.0.2-2-2-4.1.1| (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) | |
| (1,17) (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) | |
| (1,26) (2,25) (3,28) (4,27) (5,29) (6,30) (7,31) (8,32) (9,18) (10,17) (11,20) (12,19) (13,21) (14,22) (15,23) (16,24) | |
| (1,16,3,14) (2,15,4,13) (5,12,7,10) (6,11,8,9) (17,32,19,30) (18,31,20,29) (21,28,23,26) (22,27,24,25) |