Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_{36}$ |
| Group identifier: | $[36,2]$ |
| Signature: | $[ 0; 2, 36, 36 ]$ |
| Conjugacy classes for this refined passport: | $2, 25, 30$ |
The full automorphism group for this family is $C_4\times D_9$ with signature $[ 0; 2, 4, 36 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{6}\times A_{2}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.36-2.0.2-36-36.1.1
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) (13,16) (14,17) (15,18) (19,22) (20,23) (21,24) (25,28) (26,29) (27,30) (31,34) (32,35) (33,36) | |
| (1,25,16,23,8,32,6,30,15,19,10,34,2,26,17,24,9,33,4,28,13,20,11,35,3,27,18,22,7,31,5,29,14,21,12,36) | |
| (1,33,12,24,14,26,5,34,7,19,18,30,3,32,11,23,13,25,4,36,9,21,17,29,2,31,10,22,15,27,6,35,8,20,16,28) |