Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_{35}$ |
| Group identifier: | $[35,1]$ |
| Signature: | $[ 0; 5, 35, 35 ]$ |
| Conjugacy classes for this refined passport: | $4, 12, 16$ |
The full automorphism group for this family is $C_5\times D_7$ with signature $[ 0; 2, 10, 35 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{12}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.35-1.0.5-35-35.19.1
| (1,22,8,29,15) (2,23,9,30,16) (3,24,10,31,17) (4,25,11,32,18) (5,26,12,33,19) (6,27,13,34,20) (7,28,14,35,21) | |
| (1,9,17,25,33,6,14,15,23,31,4,12,20,28,29,2,10,18,26,34,7,8,16,24,32,5,13,21,22,30,3,11,19,27,35) | |
| (1,14,20,26,32,3,9,15,28,34,5,11,17,23,29,7,13,19,25,31,2,8,21,27,33,4,10,16,22,35,6,12,18,24,30) |