Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_7:C_3$ |
| Group identifier: | $[21,1]$ |
| Signature: | $[ 0; 3, 3, 7 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 5$ |
The full automorphism group for this family is $\GL(3,2)$ with signature $[ 0; 2, 3, 7 ]$.
| Jacobian variety group algebra decomposition: | $E^{3}$ |
| Corresponding character(s): | $4$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.21-1.0.3-3-7.2.1
| (1,8,15) (2,10,19) (3,12,16) (4,14,20) (5,9,17) (6,11,21) (7,13,18) | |
| (1,19,14) (2,16,9) (3,20,11) (4,17,13) (5,21,8) (6,18,10) (7,15,12) | |
| (1,4,7,3,6,2,5) (8,11,14,10,13,9,12) (15,18,21,17,20,16,19) |