Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times Q_8$ |
| Group identifier: | $[16,12]$ |
| Signature: | $[ 0; 2, 2, 2, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 4, 6, 8, 10$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times E\times E\times E\times A_{4}\times A_{6}$ |
| Corresponding character(s): | $2, 3, 5, 6, 9, 10$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.16-12.0.2-2-2-4-4-4.32.1
| (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) | |
| (1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) | |
| (1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) | |
| (1,7,2,8) (3,5,4,6) (9,15,10,16) (11,13,12,14) | |
| (1,11,2,12) (3,9,4,10) (5,16,6,15) (7,14,8,13) | |
| (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10) |