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: | $8, 14, 16$ |
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.
8.18-2.0.9-18-18.3.1
| (1,7,5,3,9,4,2,8,6) (10,16,14,12,18,13,11,17,15) | |
| (1,17,4,12,7,15,2,18,5,10,8,13,3,16,6,11,9,14) | |
| (1,16,5,12,9,13,2,17,6,10,7,14,3,18,4,11,8,15) |