Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:Q_{16}$ |
| Group identifier: | $[48,18]$ |
| Signature: | $[ 0; 4, 8, 12 ]$ |
| Conjugacy classes for this refined passport: | $6, 9, 11$ |
| Jacobian variety group algebra decomposition: | $E^{2}\times A_{4}\times A_{4}^{2}$ |
| Corresponding character(s): | $8, 10, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.48-18.0.4-8-12.3.1
| (1,25,4,28) (2,27,5,30) (3,26,6,29) (7,34,10,31) (8,36,11,33) (9,35,12,32) (13,43,16,46) (14,45,17,48) (15,44,18,47) (19,37,22,40) (20,39,23,42) (21,38,24,41) | |
| (1,47,7,38,4,44,10,41) (2,46,8,37,5,43,11,40) (3,48,9,39,6,45,12,42) (13,26,19,32,16,29,22,35) (14,25,20,31,17,28,23,34) (15,27,21,33,18,30,24,36) | |
| (1,24,5,19,3,23,4,21,2,22,6,20) (7,18,11,13,9,17,10,15,8,16,12,14) (25,48,29,43,27,47,28,45,26,46,30,44) (31,42,35,37,33,41,34,39,32,40,36,38) |