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: | $2, 3, 4$ |
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.
3.21-1.0.3-3-7.1.1
| (1,8,15) (2,10,19) (3,12,16) (4,14,20) (5,9,17) (6,11,21) (7,13,18) | |
| (1,20,12) (2,17,14) (3,21,9) (4,18,11) (5,15,13) (6,19,8) (7,16,10) | |
| (1,3,5,7,2,4,6) (8,10,12,14,9,11,13) (15,17,19,21,16,18,20) |