Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_{15}$ |
| Group identifier: | $[15,1]$ |
| Signature: | $[ 0; 5, 15, 15 ]$ |
| Conjugacy classes for this refined passport: | $4, 9, 11$ |
The full automorphism group for this family is $C_5\times S_3$ with signature $[ 0; 2, 10, 15 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.15-1.0.5-15-15.2.1
| (1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) | |
| (1,13,10,2,14,6,3,15,7,4,11,8,5,12,9) | |
| (1,8,15,2,9,11,3,10,12,4,6,13,5,7,14) |