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: | $9, 15, 20$ |
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.
7.27-2.0.3-9-9.51.1
| (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) | |
| (1,21,12,3,20,11,2,19,10) (4,24,15,6,23,14,5,22,13) (7,27,18,9,26,17,8,25,16) | |
| (1,15,26,2,13,27,3,14,25) (4,18,20,5,16,21,6,17,19) (7,12,23,8,10,24,9,11,22) |