Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{10}$ |
| Group identifier: | $[20,5]$ |
| Signature: | $[ 0; 2, 2, 2, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 4, 6, 7$ |
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{4}\times A_{4}$ |
| 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.
12.20-5.0.2-2-2-5-5.2.1
| (1,6) (2,7) (3,8) (4,9) (5,10) (11,16) (12,17) (13,18) (14,19) (15,20) | |
| (1,11) (2,12) (3,13) (4,14) (5,15) (6,16) (7,17) (8,18) (9,19) (10,20) | |
| (1,16) (2,17) (3,18) (4,19) (5,20) (6,11) (7,12) (8,13) (9,14) (10,15) | |
| (1,3,5,2,4) (6,8,10,7,9) (11,13,15,12,14) (16,18,20,17,19) | |
| (1,4,2,5,3) (6,9,7,10,8) (11,14,12,15,13) (16,19,17,20,18) |