Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_{18}$ |
| Group identifier: | $[18,2]$ |
| Signature: | $[ 0; 9, 18, 18 ]$ |
| Conjugacy classes for this refined passport: | $12, 16, 18$ |
The full automorphism group for this family is $C_9:D_4$ with signature $[ 0; 2, 4, 18 ]$.
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times E\times E$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.18-2.0.9-18-18.12.1
| (1,9,6,3,8,5,2,7,4) (10,18,15,12,17,14,11,16,13) | |
| (1,16,5,12,9,13,2,17,6,10,7,14,3,18,4,11,8,15) | |
| (1,18,6,12,8,14,2,16,4,10,9,15,3,17,5,11,7,13) |