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: | $4, 19, 32$ |
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.
14.35-1.0.5-35-35.23.1
| (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) | |
| (1,12,16,27,31,7,11,15,26,30,6,10,21,25,29,5,9,20,24,35,4,8,19,23,34,3,14,18,22,33,2,13,17,28,32) | |
| (1,11,21,24,34,2,12,15,25,35,3,13,16,26,29,4,14,17,27,30,5,8,18,28,31,6,9,19,22,32,7,10,20,23,33) |