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: | $7, 13, 15$ |
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.
8.18-2.0.9-18-18.1.1
| (1,4,7,2,5,8,3,6,9) (10,13,16,11,14,17,12,15,18) | |
| (1,13,7,11,5,17,3,15,9,10,4,16,2,14,8,12,6,18) | |
| (1,15,8,11,4,18,3,14,7,10,6,17,2,13,9,12,5,16) |