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: | $9, 11, 18$ |
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.
7.27-2.0.3-9-9.47.1
| (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) | |
| (1,19,11,3,21,10,2,20,12) (4,22,14,6,24,13,5,23,15) (7,25,17,9,27,16,8,26,18) | |
| (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) |