Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{10}$ |
| Group identifier: | $[20,5]$ |
| Signature: | $[ 0; 2, 2, 5, 10 ]$ |
| Conjugacy classes for this refined passport: | $2, 4, 5, 16$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{4}$ |
| Corresponding character(s): | $6, 7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.20-5.0.2-2-5-10.5.1
| (1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
| (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) | |
| (1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) (16,17,18,19,20) | |
| (1,15,4,13,2,11,5,14,3,12) (6,20,9,18,7,16,10,19,8,17) |