Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2:C_4$ |
| Group identifier: | $[16,3]$ |
| Signature: | $[ 0; 2, 2, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 5, 7, 10$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}$ |
| Corresponding character(s): | $5, 9, 10$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.16-3.0.2-2-4-4.5.1
| (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) | |
| (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,16,4,13) (2,15,3,14) (5,10,8,11) (6,9,7,12) |