Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times C_9$ |
| Group identifier: | $[27,2]$ |
| Signature: | $[ 0; 9, 9, 9 ]$ |
| Conjugacy classes for this refined passport: | $10, 16, 26$ |
The full automorphism group for this family is $\He_3.C_6$ with signature $[ 0; 2, 3, 18 ]$.
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times A_{3}\times E$ |
| Corresponding character(s): | $4, 5, 6, 10$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.27-2.0.9-9-9.1.1
| (1,10,19,2,11,20,3,12,21) (4,13,22,5,14,23,6,15,24) (7,16,25,8,17,26,9,18,27) | |
| (1,13,25,2,14,26,3,15,27) (4,16,19,5,17,20,6,18,21) (7,10,22,8,11,23,9,12,24) | |
| (1,18,23,2,16,24,3,17,22) (4,12,26,5,10,27,6,11,25) (7,15,20,8,13,21,9,14,19) |