Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_{12}$ |
| Group identifier: | $[36,6]$ |
| Signature: | $[ 0; 3, 4, 12 ]$ |
| Conjugacy classes for this refined passport: | $6, 8, 18$ |
The full automorphism group for this family is $\SL(2,3):S_3$ with signature $[ 0; 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{2}\times E^{2}$ |
| Corresponding character(s): | $3, 9, 14, 15$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.36-6.0.3-4-12.1.1
| (1,8,15) (2,9,13) (3,7,14) (4,11,18) (5,12,16) (6,10,17) (19,26,33) (20,27,31) (21,25,32) (22,29,36) (23,30,34) (24,28,35) | |
| (1,19,4,22) (2,21,5,24) (3,20,6,23) (7,25,10,28) (8,27,11,30) (9,26,12,29) (13,31,16,34) (14,33,17,36) (15,32,18,35) | |
| (1,36,10,21,13,30,4,33,7,24,16,27) (2,35,11,20,14,29,5,32,8,23,17,26) (3,34,12,19,15,28,6,31,9,22,18,25) |