Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_{30}$ |
| Group identifier: | $[30,4]$ |
| Signature: | $[ 0; 5, 30, 30 ]$ |
| Conjugacy classes for this refined passport: | $5, 24, 27$ |
The full automorphism group for this family is $S_3\times C_{10}$ with signature $[ 0; 2, 10, 30 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{4}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.30-4.0.5-30-30.2.1
| (1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) (16,17,18,19,20) (21,22,23,24,25) (26,27,28,29,30) | |
| (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) | |
| (1,28,10,17,14,21,3,30,7,19,11,23,5,27,9,16,13,25,2,29,6,18,15,22,4,26,8,20,12,24) |