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: | $7, 12, 18$ |
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.
5.64-8.0.2-4-8.4.1
| (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) | |
| (1,39,5,35) (2,40,6,36) (3,37,7,33) (4,38,8,34) (9,45,13,41) (10,46,14,42) (11,47,15,43) (12,48,16,44) (17,63,21,59) (18,64,22,60) (19,61,23,57) (20,62,24,58) (25,54,29,50) (26,53,30,49) (27,56,31,52) (28,55,32,51) | |
| (1,51,14,64,2,52,13,63) (3,49,16,62,4,50,15,61) (5,54,10,57,6,53,9,58) (7,56,12,59,8,55,11,60) (17,44,30,40,18,43,29,39) (19,42,32,38,20,41,31,37) (21,45,26,33,22,46,25,34) (23,47,28,35,24,48,27,36) |