Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_{21}$ |
| Group identifier: | $[21,2]$ |
| Signature: | $[ 0; 3, 3, 7, 7 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 6, 7$ |
The full automorphism group for this family is $D_{21}$ with signature $[ 0; 2, 2, 3, 7 ]$.
| Jacobian variety group algebra decomposition: | $A_{12}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.21-2.0.3-3-7-7.3.1
| (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) | |
| (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) | |
| (1,4,7,3,6,2,5) (8,11,14,10,13,9,12) (15,18,21,17,20,16,19) | |
| (1,5,2,6,3,7,4) (8,12,9,13,10,14,11) (15,19,16,20,17,21,18) |