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: | $7, 19, 26$ |
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.
7.27-2.0.3-9-9.35.1
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) (19,27,23) (20,25,24) (21,26,22) | |
| (1,26,13,3,25,15,2,27,14) (4,20,16,6,19,18,5,21,17) (7,23,10,9,22,12,8,24,11) | |
| (1,18,23,2,16,24,3,17,22) (4,12,26,5,10,27,6,11,25) (7,15,20,8,13,21,9,14,19) |