Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{10}$ |
| Group identifier: | $[20,5]$ |
| Signature: | $[ 0; 2, 5, 10, 10 ]$ |
| Conjugacy classes for this refined passport: | $2, 5, 14, 17$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{4}\times A_{4}$ |
| Corresponding character(s): | $5, 6, 7, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.20-5.0.2-5-10-10.2.1
| (1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
| (1,2,3,4,5) (6,7,8,9,10) (11,12,13,14,15) (16,17,18,19,20) | |
| (1,14,2,15,3,11,4,12,5,13) (6,19,7,20,8,16,9,17,10,18) | |
| (1,17,3,19,5,16,2,18,4,20) (6,12,8,14,10,11,7,13,9,15) |