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: | $9, 10, 25$ |
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.
7.27-2.0.3-9-9.46.1
| (1,8,6) (2,9,4) (3,7,5) (10,17,15) (11,18,13) (12,16,14) (19,26,24) (20,27,22) (21,25,23) | |
| (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) | |
| (1,23,16,3,22,18,2,24,17) (4,26,10,6,25,12,5,27,11) (7,20,13,9,19,15,8,21,14) |