Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $D_5$ |
| Group identifier: | $[10,1]$ |
| Signature: | $[ 0; 2, 2, 5, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 3, 3, 3$ |
| Jacobian variety group algebra decomposition: | $A_{4}^{2}$ |
| Corresponding character(s): | $3$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
8.10-1.0.2-2-5-5-5.1.1
| (1,6) (2,10) (3,9) (4,8) (5,7) | |
| (1,8) (2,7) (3,6) (4,10) (5,9) | |
| (1,2,3,4,5) (6,7,8,9,10) | |
| (1,2,3,4,5) (6,7,8,9,10) | |
| (1,2,3,4,5) (6,7,8,9,10) |
8.10-1.0.2-2-5-5-5.1.2
| (1,6) (2,10) (3,9) (4,8) (5,7) | |
| (1,10) (2,9) (3,8) (4,7) (5,6) | |
| (1,2,3,4,5) (6,7,8,9,10) | |
| (1,2,3,4,5) (6,7,8,9,10) | |
| (1,5,4,3,2) (6,10,9,8,7) |
8.10-1.0.2-2-5-5-5.1.3
| (1,6) (2,10) (3,9) (4,8) (5,7) | |
| (1,10) (2,9) (3,8) (4,7) (5,6) | |
| (1,2,3,4,5) (6,7,8,9,10) | |
| (1,5,4,3,2) (6,10,9,8,7) | |
| (1,2,3,4,5) (6,7,8,9,10) |
8.10-1.0.2-2-5-5-5.1.4
| (1,6) (2,10) (3,9) (4,8) (5,7) | |
| (1,10) (2,9) (3,8) (4,7) (5,6) | |
| (1,5,4,3,2) (6,10,9,8,7) | |
| (1,2,3,4,5) (6,7,8,9,10) | |
| (1,2,3,4,5) (6,7,8,9,10) |