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: | $3, 19, 24$ |
| 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.
8.40-10.0.2-10-20.2.1
| (1,11) (2,12) (3,13) (4,14) (5,15) (6,16) (7,17) (8,18) (9,19) (10,20) (21,31) (22,32) (23,33) (24,34) (25,35) (26,36) (27,37) (28,38) (29,39) (30,40) | |
| (1,27,3,29,5,21,7,23,9,25) (2,28,4,30,6,22,8,24,10,26) (11,38,13,40,15,32,17,34,19,36) (12,37,14,39,16,31,18,33,20,35) | |
| (1,35,10,34,7,31,6,40,3,37,2,36,9,33,8,32,5,39,4,38) (11,26,20,23,17,22,16,29,13,28,12,25,19,24,18,21,15,30,14,27) |