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: | $6, 28, 30$ |
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.
12.30-4.0.5-30-30.6.1
| (1,3,5,2,4) (6,8,10,7,9) (11,13,15,12,14) (16,18,20,17,19) (21,23,25,22,24) (26,28,30,27,29) | |
| (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) | |
| (1,30,9,18,12,21,5,29,8,17,11,25,4,28,7,16,15,24,3,27,6,20,14,23,2,26,10,19,13,22) |