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: | $5, 9, 10$ |
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.
7.27-4.0.3-9-9.6.1
| (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) | |
| (1,26,14,3,25,13,2,27,15) (4,19,18,6,21,17,5,20,16) (7,24,10,9,23,12,8,22,11) | |
| (1,18,22,2,16,23,3,17,24) (4,10,27,5,11,25,6,12,26) (7,14,20,8,15,21,9,13,19) |