Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times C_9$ |
| Group identifier: | $[27,2]$ |
| Signature: | $[ 0; 3, 9, 9 ]$ |
| Conjugacy classes for this refined passport: | $5, 10, 27$ |
The full automorphism group for this family is $C_3\times D_9$ with signature $[ 0; 2, 6, 9 ]$.
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times E$ |
| Corresponding character(s): | $5, 6, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.27-2.0.3-9-9.10.1
| (1,7,4) (2,8,5) (3,9,6) (10,16,13) (11,17,14) (12,18,15) (19,25,22) (20,26,23) (21,27,24) | |
| (1,10,19,2,11,20,3,12,21) (4,13,22,5,14,23,6,15,24) (7,16,25,8,17,26,9,18,27) | |
| (1,24,18,3,23,17,2,22,16) (4,27,12,6,26,11,5,25,10) (7,21,15,9,20,14,8,19,13) |