Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_5\times S_3$ |
| Group identifier: | $[30,1]$ |
| Signature: | $[ 0; 10, 10, 15 ]$ |
| Conjugacy classes for this refined passport: | $10, 10, 12$ |
The full automorphism group for this family is $S_3\times C_{10}$ with signature $[ 0; 2, 10, 30 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $3, 4, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.30-1.0.10-10-15.6.1
| (1,22,13,19,10,16,7,28,4,25) (2,24,14,21,11,18,8,30,5,27) (3,23,15,20,12,17,9,29,6,26) | |
| (1,24,13,21,10,18,7,30,4,27) (2,23,14,20,11,17,8,29,5,26) (3,22,15,19,12,16,9,28,6,25) | |
| (1,5,9,10,14,3,4,8,12,13,2,6,7,11,15) (16,20,24,25,29,18,19,23,27,28,17,21,22,26,30) |