Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_{24}:C_2$ |
| Group identifier: | $[48,5]$ |
| Signature: | $[ 0; 2, 8, 24 ]$ |
| Conjugacy classes for this refined passport: | $3, 11, 16$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $6, 11, 13, 15$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.48-5.0.2-8-24.1.1
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,31) (8,33) (9,32) (10,34) (11,36) (12,35) (13,40) (14,42) (15,41) (16,37) (17,39) (18,38) (19,46) (20,48) (21,47) (22,43) (23,45) (24,44) | |
| (1,39,10,48,4,42,7,45) (2,38,11,47,5,41,8,44) (3,37,12,46,6,40,9,43) (13,36,22,30,16,33,19,27) (14,35,23,29,17,32,20,26) (15,34,24,28,18,31,21,25) | |
| (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) |