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: | $2, 6, 16, 20$ |
| 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.
12.20-5.0.2-5-10-10.6.1
| (1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
| (1,3,5,2,4) (6,8,10,7,9) (11,13,15,12,14) (16,18,20,17,19) | |
| (1,15,4,13,2,11,5,14,3,12) (6,20,9,18,7,16,10,19,8,17) | |
| (1,20,4,18,2,16,5,19,3,17) (6,15,9,13,7,11,10,14,8,12) |