Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_{24}:C_2$ |
| Group identifier: | $[48,5]$ |
| Signature: | $[ 0; 4, 8, 24 ]$ |
| Conjugacy classes for this refined passport: | $7, 12, 16$ |
| Jacobian variety group algebra decomposition: | $E\times A_{2}^{2}\times E^{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 11, 12, 15$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.48-5.0.4-8-24.3.1
| (1,31,4,34) (2,33,5,36) (3,32,6,35) (7,28,10,25) (8,30,11,27) (9,29,12,26) (13,46,16,43) (14,48,17,45) (15,47,18,44) (19,37,22,40) (20,39,23,42) (21,38,24,41) | |
| (1,48,7,39,4,45,10,42) (2,47,8,38,5,44,11,41) (3,46,9,37,6,43,12,40) (13,30,19,36,16,27,22,33) (14,29,20,35,17,26,23,32) (15,28,21,34,18,25,24,31) | |
| (1,23,12,16,5,21,7,14,3,22,11,18,4,20,9,13,2,24,10,17,6,19,8,15) (25,47,36,40,29,45,31,38,27,46,35,42,28,44,33,37,26,48,34,41,30,43,32,39) |