Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_9:C_4$ |
| Group identifier: | $[36,1]$ |
| Signature: | $[ 0; 4, 4, 9 ]$ |
| Conjugacy classes for this refined passport: | $4, 5, 9$ |
The full automorphism group for this family is $C_9:D_4$ with signature $[ 0; 2, 4, 18 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{6}$ |
| Corresponding character(s): | $5, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.36-1.0.4-4-9.3.1
| (1,19,10,28) (2,21,11,30) (3,20,12,29) (4,26,13,35) (5,25,14,34) (6,27,15,36) (7,23,16,32) (8,22,17,31) (9,24,18,33) | |
| (1,36,10,27) (2,35,11,26) (3,34,12,25) (4,33,13,24) (5,32,14,23) (6,31,15,22) (7,30,16,21) (8,29,17,20) (9,28,18,19) | |
| (1,6,8,3,5,7,2,4,9) (10,15,17,12,14,16,11,13,18) (19,24,26,21,23,25,20,22,27) (28,33,35,30,32,34,29,31,36) |