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: | $11, 17, 25$ |
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.
10.27-2.0.9-9-9.4.1
| (1,19,11,3,21,10,2,20,12) (4,22,14,6,24,13,5,23,15) (7,25,17,9,27,16,8,26,18) | |
| (1,25,14,3,27,13,2,26,15) (4,19,17,6,21,16,5,20,18) (7,22,11,9,24,10,8,23,12) | |
| (1,23,16,3,22,18,2,24,17) (4,26,10,6,25,12,5,27,11) (7,20,13,9,19,15,8,21,14) |