Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times C_9$ |
| Group identifier: | $[27,2]$ |
| Signature: | $[ 0; 9, 9, 9 ]$ |
| Conjugacy classes for this refined passport: | $12, 18, 22$ |
The full automorphism group for this family is $\He_3.C_6$ with signature $[ 0; 2, 3, 18 ]$.
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times A_{3}\times E$ |
| Corresponding character(s): | $4, 5, 6, 10$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.27-2.0.9-9-9.8.1
| (1,11,21,2,12,19,3,10,20) (4,14,24,5,15,22,6,13,23) (7,17,27,8,18,25,9,16,26) | |
| (1,14,27,2,15,25,3,13,26) (4,17,21,5,18,19,6,16,20) (7,11,24,8,12,22,9,10,23) | |
| (1,16,22,2,17,23,3,18,24) (4,10,25,5,11,26,6,12,27) (7,13,19,8,14,20,9,15,21) |