Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_4\times A_4$ |
| Group identifier: | $[48,31]$ |
| Signature: | $[ 0; 4, 6, 12 ]$ |
| Conjugacy classes for this refined passport: | $9, 11, 14$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times A_{3}^{3}$ |
| Corresponding character(s): | $4, 7, 9, 15$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.48-31.0.4-6-12.1.1
| (1,26,5,30) (2,25,6,29) (3,28,7,32) (4,27,8,31) (9,34,13,38) (10,33,14,37) (11,36,15,40) (12,35,16,39) (17,42,21,46) (18,41,22,45) (19,44,23,48) (20,43,24,47) | |
| (1,13,17,5,9,21) (2,16,19,6,12,23) (3,14,20,7,10,24) (4,15,18,8,11,22) (25,37,41,29,33,45) (26,40,43,30,36,47) (27,38,44,31,34,48) (28,39,42,32,35,46) | |
| (1,42,16,29,18,36,5,46,12,25,22,40) (2,44,13,30,20,33,6,48,9,26,24,37) (3,43,15,31,19,35,7,47,11,27,23,39) (4,41,14,32,17,34,8,45,10,28,21,38) |