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: | $6, 8, 12$ |
| 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.
14.48-18.0.4-8-12.2.1
| (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) | |
| (1,38,10,47,4,41,7,44) (2,37,11,46,5,40,8,43) (3,39,12,48,6,42,9,45) (13,32,22,26,16,35,19,29) (14,31,23,25,17,34,20,28) (15,33,24,27,18,36,21,30) | |
| (1,15,5,16,3,14,4,18,2,13,6,17) (7,24,11,19,9,23,10,21,8,22,12,20) (25,39,29,40,27,38,28,42,26,37,30,41) (31,48,35,43,33,47,34,45,32,46,36,44) |