Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_9:C_3$ |
| Group identifier: | $[27,4]$ |
| Signature: | $[ 0; 3, 9, 9 ]$ |
| Conjugacy classes for this refined passport: | $5, 6, 11$ |
The full automorphism group for this family is $C_9:C_6$ with signature $[ 0; 2, 6, 9 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}^{3}$ |
| Corresponding character(s): | $3, 10$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.27-4.0.3-9-9.4.1
| (1,7,4) (2,8,5) (3,9,6) (10,16,13) (11,17,14) (12,18,15) (19,25,22) (20,26,23) (21,27,24) | |
| (1,10,19,2,11,20,3,12,21) (4,14,24,5,15,22,6,13,23) (7,18,26,8,16,27,9,17,25) | |
| (1,24,17,3,23,16,2,22,18) (4,26,12,6,25,11,5,27,10) (7,19,13,9,21,15,8,20,14) |