Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_{30}$ |
| Group identifier: | $[30,4]$ |
| Signature: | $[ 0; 3, 30, 30 ]$ |
| Conjugacy classes for this refined passport: | $4, 27, 29$ |
The full automorphism group for this family is $C_3\times D_{10}$ with signature $[ 0; 2, 6, 30 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{4}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.30-4.0.3-30-30.4.1
| (1,11,6) (2,12,7) (3,13,8) (4,14,9) (5,15,10) (16,26,21) (17,27,22) (18,28,23) (19,29,24) (20,30,25) | |
| (1,28,10,17,14,21,3,30,7,19,11,23,5,27,9,16,13,25,2,29,6,18,15,22,4,26,8,20,12,24) | |
| (1,29,7,20,13,21,4,27,10,18,11,24,2,30,8,16,14,22,5,28,6,19,12,25,3,26,9,17,15,23) |