Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_9:C_3$ |
| Group identifier: | $[27,4]$ |
| Signature: | $[ 0; 9, 9, 9 ]$ |
| Conjugacy classes for this refined passport: | $6, 8, 10$ |
The full automorphism group for this family is $C_3^3:A_4$ with signature $[ 0; 2, 3, 9 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{3}^{3}$ |
| Corresponding character(s): | $3, 10$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.27-4.0.9-9-9.1.1
| (1,10,19,2,11,20,3,12,21) (4,14,24,5,15,22,6,13,23) (7,18,26,8,16,27,9,17,25) | |
| (1,13,26,2,14,27,3,15,25) (4,17,19,5,18,20,6,16,21) (7,12,24,8,10,22,9,11,23) | |
| (1,17,23,2,18,24,3,16,22) (4,12,25,5,10,26,6,11,27) (7,13,21,8,14,19,9,15,20) |