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: | $3, 24, 26$ |
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.
10.30-4.0.3-30-30.2.1
| (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) | |
| (1,23,15,17,9,26,3,25,12,19,6,28,5,22,14,16,8,30,2,24,11,18,10,27,4,21,13,20,7,29) | |
| (1,24,12,20,8,26,4,22,15,18,6,29,2,25,13,16,9,27,5,23,11,19,7,30,3,21,14,17,10,28) |