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: | $3, 4, 7$ |
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.
3.48-3.0.3-3-4.3.1
| (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) | |
| (1,48,27) (2,46,26) (3,45,28) (4,47,25) (5,37,21) (6,39,24) (7,40,22) (8,38,23) (9,36,31) (10,34,30) (11,33,32) (12,35,29) (13,44,19) (14,42,18) (15,41,20) (16,43,17) | |
| (1,15,2,16) (3,13,4,14) (5,9,6,10) (7,11,8,12) (17,31,18,32) (19,29,20,30) (21,25,22,26) (23,27,24,28) (33,47,34,48) (35,45,36,46) (37,41,38,42) (39,43,40,44) |