Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_4^2:C_3$ |
| Group identifier: | $[48,3]$ |
| Signature: | $[ 0; 3, 3, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5$ |
The full automorphism group for this family is $C_4^2:S_3$ with signature $[ 0; 2, 3, 8 ]$.
| Jacobian variety group algebra decomposition: | $E^{3}$ |
| Corresponding character(s): | $5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.48-3.0.3-3-4.1.1
| (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,30,41) (6,31,43) (7,29,44) (8,32,42) (9,21,46) (10,24,48) (11,22,47) (12,23,45) (13,28,39) (14,25,37) (15,27,38) (16,26,40) | |
| (1,45,25) (2,47,28) (3,48,26) (4,46,27) (5,40,23) (6,38,22) (7,37,24) (8,39,21) (9,33,29) (10,35,32) (11,36,30) (12,34,31) (13,41,17) (14,43,20) (15,44,18) (16,42,19) | |
| (1,14,2,13) (3,16,4,15) (5,12,6,11) (7,10,8,9) (17,30,18,29) (19,32,20,31) (21,28,22,27) (23,26,24,25) (33,46,34,45) (35,48,36,47) (37,44,38,43) (39,42,40,41) |