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: | $5, 7, 8$ |
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.
7.27-4.0.3-9-9.5.1
| (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) | |
| (1,19,11,3,21,10,2,20,12) (4,24,15,6,23,14,5,22,13) (7,26,16,9,25,18,8,27,17) | |
| (1,15,27,2,13,25,3,14,26) (4,16,20,5,17,21,6,18,19) (7,11,22,8,12,23,9,10,24) |