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: | $4, 6, 9$ |
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.
7.27-4.0.3-9-9.1.1
| (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) (19,22,25) (20,23,26) (21,24,27) | |
| (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) | |
| (1,27,13,3,26,15,2,25,14) (4,20,17,6,19,16,5,21,18) (7,22,12,9,24,11,8,23,10) |