Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2.D_8$ |
| Group identifier: | $[64,8]$ |
| Signature: | $[ 0; 2, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $7, 13, 19$ |
The full automorphism group for this family is $C_2^3.S_4$ with signature $[ 0; 2, 3, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}$ |
| Corresponding character(s): | $5, 13, 15$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.64-8.0.2-4-8.6.1
| (1,17) (2,18) (3,19) (4,20) (5,24) (6,23) (7,22) (8,21) (9,26) (10,25) (11,28) (12,27) (13,31) (14,32) (15,29) (16,30) (33,49) (34,50) (35,51) (36,52) (37,56) (38,55) (39,54) (40,53) (41,58) (42,57) (43,60) (44,59) (45,63) (46,64) (47,61) (48,62) | |
| (1,36,5,40) (2,35,6,39) (3,34,7,38) (4,33,8,37) (9,42,13,46) (10,41,14,45) (11,44,15,48) (12,43,16,47) (17,60,21,64) (18,59,22,63) (19,58,23,62) (20,57,24,61) (25,49,29,53) (26,50,30,54) (27,51,31,55) (28,52,32,56) | |
| (1,53,15,59,2,54,16,60) (3,55,13,57,4,56,14,58) (5,52,11,62,6,51,12,61) (7,50,9,64,8,49,10,63) (17,46,31,35,18,45,32,36) (19,48,29,33,20,47,30,34) (21,43,27,38,22,44,28,37) (23,41,25,40,24,42,26,39) |