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: | $8, 8, 15$ |
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.
12.30-1.0.10-10-15.1.1
| (1,19,7,25,13,16,4,22,10,28) (2,21,8,27,14,18,5,24,11,30) (3,20,9,26,15,17,6,23,12,29) | |
| (1,21,7,27,13,18,4,24,10,30) (2,20,8,26,14,17,5,23,11,29) (3,19,9,25,15,16,6,22,12,28) | |
| (1,11,6,13,8,3,10,5,15,7,2,12,4,14,9) (16,26,21,28,23,18,25,20,30,22,17,27,19,29,24) |