Family Information
| Genus: | $7$ |
| Dimension of the family: | $0$ |
Cover
| Quotient genus: | $0$ |
| Number of branch points: | $3$ |
| Signature: | $[ 0; 2, 4, 16 ]$ |
Group
| Name: | $D_8:C_4$ |
| Identifier: | $[64,38]$ |
Conjugacy class(es) of Refined passports
| Refined passport label | Conjugacy classes |
|---|---|
| 7.64-38.0.2-4-16.1 | 5, 9, 16 |
| 7.64-38.0.2-4-16.2 | 5, 9, 18 |
| 7.64-38.0.2-4-16.3 | 5, 9, 20 |
| 7.64-38.0.2-4-16.4 | 5, 9, 22 |
| 7.64-38.0.2-4-16.5 | 5, 10, 15 |
| 7.64-38.0.2-4-16.6 | 5, 10, 17 |
| 7.64-38.0.2-4-16.7 | 5, 10, 19 |
| 7.64-38.0.2-4-16.8 | 5, 10, 21 |
| 7.64-38.0.2-4-16.9 | 6, 9, 15 |
| 7.64-38.0.2-4-16.10 | 6, 9, 17 |
| 7.64-38.0.2-4-16.11 | 6, 9, 19 |
| 7.64-38.0.2-4-16.12 | 6, 9, 21 |
| 7.64-38.0.2-4-16.13 | 6, 10, 16 |
| 7.64-38.0.2-4-16.14 | 6, 10, 18 |
| 7.64-38.0.2-4-16.15 | 6, 10, 20 |
| 7.64-38.0.2-4-16.16 | 6, 10, 22 |
Displaying the representative for the unique action up to topological equivalence.
7.64-38.0.2-4-16.1.1| (1,17) (2,18) (3,20) (4,19) (5,21) (6,22) (7,24) (8,23) (9,27) (10,28) (11,25) (12,26) (13,31) (14,32) (15,29) (16,30) (33,49) (34,50) (35,52) (36,51) (37,53) (38,54) (39,56) (40,55) (41,59) (42,60) (43,57) (44,58) (45,63) (46,64) (47,61) (48,62) | |
| (1,35,5,39) (2,36,6,40) (3,33,7,37) (4,34,8,38) (9,42,13,46) (10,41,14,45) (11,43,15,47) (12,44,16,48) (17,59,21,63) (18,60,22,64) (19,57,23,61) (20,58,24,62) (25,51,29,55) (26,52,30,56) (27,49,31,53) (28,50,32,54) | |
| (1,56,16,58,3,53,13,60,2,55,15,57,4,54,14,59) (5,52,12,62,7,49,9,64,6,51,11,61,8,50,10,63) (17,45,32,34,19,47,29,36,18,46,31,33,20,48,30,35) (21,41,28,38,23,43,25,40,22,42,27,37,24,44,26,39) |