Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_5:C_8$ |
| Group identifier: | $[40,1]$ |
| Signature: | $[ 0; 5, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $5, 7, 10$ |
The full automorphism group for this family is $C_5:D_8$ with signature $[ 0; 2, 8, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{8}$ |
| Corresponding character(s): | $11, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.40-1.0.5-8-8.1.1
| (1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) (16,17,18,19,20) (21,22,23,24,25) (26,27,28,29,30) (31,32,33,34,35) (36,37,38,39,40) | |
| (1,21,11,31,6,26,16,36) (2,25,12,35,7,30,17,40) (3,24,13,34,8,29,18,39) (4,23,14,33,9,28,19,38) (5,22,15,32,10,27,20,37) | |
| (1,40,16,30,6,35,11,25) (2,39,17,29,7,34,12,24) (3,38,18,28,8,33,13,23) (4,37,19,27,9,32,14,22) (5,36,20,26,10,31,15,21) |