Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_{21}$ |
| Group identifier: | $[21,2]$ |
| Signature: | $[ 0; 7, 21, 21 ]$ |
| Conjugacy classes for this refined passport: | $4, 15, 19$ |
The full automorphism group for this family is $S_3\times C_7$ with signature $[ 0; 2, 14, 21 ]$.
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{6}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.21-2.0.7-21-21.4.1
| (1,2,3,4,5,6,7) (8,9,10,11,12,13,14) (15,16,17,18,19,20,21) | |
| (1,11,21,3,13,16,5,8,18,7,10,20,2,12,15,4,14,17,6,9,19) | |
| (1,18,14,3,20,9,5,15,11,7,17,13,2,19,8,4,21,10,6,16,12) |