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: | $7, 23, 25$ |
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.
12.30-4.0.5-30-30.7.1
| (1,4,2,5,3) (6,9,7,10,8) (11,14,12,15,13) (16,19,17,20,18) (21,24,22,25,23) (26,29,27,30,28) | |
| (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) | |
| (1,27,8,19,15,21,2,28,9,20,11,22,3,29,10,16,12,23,4,30,6,17,13,24,5,26,7,18,14,25) |