Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_8:C_4$ |
| Group identifier: | $[32,13]$ |
| Signature: | $[ 0; 2, 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $4, 7, 10, 13$ |
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}\times A_{3}^{2}\times E^{2}$ |
| Corresponding character(s): | $5, 6, 10, 11, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.32-13.0.2-4-4-8.19.1
| (1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15) (17,20) (18,19) (21,24) (22,23) (25,28) (26,27) (29,32) (30,31) | |
| (1,17,3,19) (2,18,4,20) (5,22,7,24) (6,21,8,23) (9,29,11,31) (10,30,12,32) (13,25,15,27) (14,26,16,28) | |
| (1,27,4,26) (2,28,3,25) (5,32,8,29) (6,31,7,30) (9,20,12,17) (10,19,11,18) (13,23,16,22) (14,24,15,21) | |
| (1,15,6,11,2,16,5,12) (3,13,8,9,4,14,7,10) (17,31,22,27,18,32,21,28) (19,29,24,25,20,30,23,26) |