Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_4:C_4$ |
| Group identifier: | $[16,4]$ |
| Signature: | $[ 0; 4, 4, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $6, 7, 9, 9, 10$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times A_{3}\times A_{6}\times E^{2}$ |
| Corresponding character(s): | $3, 4, 5, 6, 9, 10$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
15.16-4.0.4-4-4-4-4.20.1
| (1,6,3,8) (2,5,4,7) (9,14,11,16) (10,13,12,15) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,13,2,14) (3,15,4,16) (5,9,6,10) (7,11,8,12) | |
| (1,13,2,14) (3,15,4,16) (5,9,6,10) (7,11,8,12) | |
| (1,16,2,15) (3,14,4,13) (5,12,6,11) (7,10,8,9) |
15.16-4.0.4-4-4-4-4.20.2
| (1,6,3,8) (2,5,4,7) (9,14,11,16) (10,13,12,15) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,13,2,14) (3,15,4,16) (5,9,6,10) (7,11,8,12) | |
| (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10) | |
| (1,14,2,13) (3,16,4,15) (5,10,6,9) (7,12,8,11) |
15.16-4.0.4-4-4-4-4.20.3
| (1,6,3,8) (2,5,4,7) (9,14,11,16) (10,13,12,15) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10) | |
| (1,13,2,14) (3,15,4,16) (5,9,6,10) (7,11,8,12) | |
| (1,14,2,13) (3,16,4,15) (5,10,6,9) (7,12,8,11) |
15.16-4.0.4-4-4-4-4.20.4
| (1,6,3,8) (2,5,4,7) (9,14,11,16) (10,13,12,15) | |
| (1,9,2,10) (3,11,4,12) (5,15,6,16) (7,13,8,14) | |
| (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10) | |
| (1,15,2,16) (3,13,4,14) (5,11,6,12) (7,9,8,10) | |
| (1,16,2,15) (3,14,4,13) (5,12,6,11) (7,10,8,9) |