Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_5\times D_4$ |
| Group identifier: | $[40,10]$ |
| Signature: | $[ 0; 2, 10, 20 ]$ |
| Conjugacy classes for this refined passport: | $4, 17, 22$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $5, 7, 22$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.40-10.0.2-10-20.8.1
| (1,21) (2,22) (3,23) (4,24) (5,25) (6,26) (7,27) (8,28) (9,29) (10,30) (11,32) (12,31) (13,34) (14,33) (15,36) (16,35) (17,38) (18,37) (19,40) (20,39) | |
| (1,19,7,15,3,11,9,17,5,13) (2,20,8,16,4,12,10,18,6,14) (21,39,27,35,23,31,29,37,25,33) (22,40,28,36,24,32,30,38,26,34) | |
| (1,34,6,37,9,32,4,35,7,40,2,33,5,38,10,31,3,36,8,39) (11,23,16,28,19,21,14,26,17,29,12,24,15,27,20,22,13,25,18,30) |