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: | $4, 7, 10, 16$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}\times A_{4}\times A_{2}$ |
| 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.
12.20-5.0.2-5-10-10.32.1
| (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) | |
| (1,4,2,5,3) (6,9,7,10,8) (11,14,12,15,13) (16,19,17,20,18) | |
| (1,9,2,10,3,6,4,7,5,8) (11,19,12,20,13,16,14,17,15,18) | |
| (1,15,4,13,2,11,5,14,3,12) (6,20,9,18,7,16,10,19,8,17) |