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: | $9, 12, 23$ |
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.
7.27-2.0.3-9-9.48.1
| (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) | |
| (1,11,21,2,12,19,3,10,20) (4,14,24,5,15,22,6,13,23) (7,17,27,8,18,25,9,16,26) | |
| (1,22,17,3,24,16,2,23,18) (4,25,11,6,27,10,5,26,12) (7,19,14,9,21,13,8,20,15) |