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: | $3, 20, 23$ |
| 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.
8.40-10.0.2-10-20.3.1
| (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) | |
| (1,25,9,23,7,21,5,29,3,27) (2,26,10,24,8,22,6,30,4,28) (11,36,19,34,17,32,15,40,13,38) (12,35,20,33,18,31,16,39,14,37) | |
| (1,37,4,40,5,31,8,34,9,35,2,38,3,39,6,32,7,33,10,36) (11,28,14,29,15,22,18,23,19,26,12,27,13,30,16,21,17,24,20,25) |