Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_{21}$ |
| Group identifier: | $[21,2]$ |
| Signature: | $[ 0; 3, 21, 21 ]$ |
| Conjugacy classes for this refined passport: | $2, 10, 17$ |
The full automorphism group for this family is $C_3\times D_7$ with signature $[ 0; 2, 6, 21 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{6}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.21-2.0.3-21-21.1.1
| (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) | |
| (1,9,17,4,12,20,7,8,16,3,11,19,6,14,15,2,10,18,5,13,21) | |
| (1,14,20,5,11,17,2,8,21,6,12,18,3,9,15,7,13,19,4,10,16) |