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: | $3, 23, 28$ |
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.
10.30-4.0.3-30-30.1.1
| (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) (16,21,26) (17,22,27) (18,23,28) (19,24,29) (20,25,30) | |
| (1,22,13,19,10,26,2,23,14,20,6,27,3,24,15,16,7,28,4,25,11,17,8,29,5,21,12,18,9,30) | |
| (1,25,14,18,7,26,5,24,13,17,6,30,4,23,12,16,10,29,3,22,11,20,9,28,2,21,15,19,8,27) |