Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_{48}$ |
| Group identifier: | $[48,2]$ |
| Signature: | $[ 0; 2, 48, 48 ]$ |
| Conjugacy classes for this refined passport: | $2, 34, 39$ |
The full automorphism group for this family is $C_{48}:C_2$ with signature $[ 0; 2, 4, 48 ]$.
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{8}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.48-2.0.2-48-48.2.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48) | |
| (1,43,14,32,19,34,8,45,10,28,21,39,4,41,15,30,17,35,6,48,11,26,24,37,2,44,13,31,20,33,7,46,9,27,22,40,3,42,16,29,18,36,5,47,12,25,23,38) | |
| (1,37,23,26,12,48,5,35,18,30,16,41,3,39,22,28,9,45,7,34,20,32,13,43,2,38,24,25,11,47,6,36,17,29,15,42,4,40,21,27,10,46,8,33,19,31,14,44) |