Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_{18}$ |
| Group identifier: | $[18,2]$ |
| Signature: | $[ 0; 2, 2, 9, 9 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 9, 10$ |
The full automorphism group for this family is $D_{18}$ with signature $[ 0; 2, 2, 2, 9 ]$.
| Jacobian variety group algebra decomposition: | $A_{6}\times A_{2}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.18-2.0.2-2-9-9.3.1
| (1,10) (2,11) (3,12) (4,13) (5,14) (6,15) (7,16) (8,17) (9,18) | |
| (1,10) (2,11) (3,12) (4,13) (5,14) (6,15) (7,16) (8,17) (9,18) | |
| (1,5,9,2,6,7,3,4,8) (10,14,18,11,15,16,12,13,17) | |
| (1,8,4,3,7,6,2,9,5) (10,17,13,12,16,15,11,18,14) |