Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_5:C_8$ |
| Group identifier: | $[40,3]$ |
| Signature: | $[ 0; 5, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $5, 6, 9$ |
| Jacobian variety group algebra decomposition: | $E^{4}\times A_{4}^{2}$ |
| Corresponding character(s): | $9, 10$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.40-3.0.5-8-8.1.1
| (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) (2,23,15,34,7,28,20,39) (3,25,14,32,8,30,19,37) (4,22,13,35,9,27,18,40) (5,24,12,33,10,29,17,38) | |
| (1,40,17,28,6,35,12,23) (2,38,16,30,7,33,11,25) (3,36,20,27,8,31,15,22) (4,39,19,29,9,34,14,24) (5,37,18,26,10,32,13,21) |