Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times C_{12}$ |
| Group identifier: | $[36,8]$ |
| Signature: | $[ 0; 3, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $3, 25, 32$ |
The full automorphism group for this family is $C_3\times D_{12}$ with signature $[ 0; 2, 6, 12 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times E\times E\times A_{2}\times E\times A_{2}\times E$ |
| Corresponding character(s): | $6, 7, 17, 18, 19, 22, 23$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.36-8.0.3-12-12.1.1
| (1,3,5) (2,4,6) (7,9,11) (8,10,12) (13,15,17) (14,16,18) (19,21,23) (20,22,24) (25,27,29) (26,28,30) (31,33,35) (32,34,36) | |
| (1,25,14,20,7,31,2,26,13,19,8,32) (3,27,16,22,9,33,4,28,15,21,10,34) (5,29,18,24,11,35,6,30,17,23,12,36) | |
| (1,36,10,19,17,28,2,35,9,20,18,27) (3,32,12,21,13,30,4,31,11,22,14,29) (5,34,8,23,15,26,6,33,7,24,16,25) |