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: | $4, 14, 25$ |
| 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.
8.40-10.0.2-10-20.5.1
| (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) | |
| (1,13,5,17,9,11,3,15,7,19) (2,14,6,18,10,12,4,16,8,20) (21,33,25,37,29,31,23,35,27,39) (22,34,26,38,30,32,24,36,28,40) | |
| (1,40,8,35,3,32,10,37,5,34,2,39,7,36,4,31,9,38,6,33) (11,29,18,26,13,21,20,28,15,23,12,30,17,25,14,22,19,27,16,24) |