Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_4.D_8$ |
| Group identifier: | $[64,12]$ |
| Signature: | $[ 0; 2, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $5, 14, 17$ |
The full automorphism group for this family is $C_4^2.D_4$ with signature $[ 0; 2, 4, 8 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}\times E^{4}$ |
| Corresponding character(s): | $5, 11, 12, 19$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.64-12.0.2-8-8.5.1
| (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) | |
| (1,34,5,38,4,35,8,39) (2,33,6,37,3,36,7,40) (9,44,13,48,12,41,16,45) (10,43,14,47,11,42,15,46) (17,58,21,62,20,59,24,63) (18,57,22,61,19,60,23,64) (25,51,29,55,28,50,32,54) (26,52,30,56,27,49,31,53) | |
| (1,54,14,60,3,56,16,58) (2,53,13,59,4,55,15,57) (5,50,11,61,7,52,9,63) (6,49,12,62,8,51,10,64) (17,45,30,36,19,47,32,34) (18,46,29,35,20,48,31,33) (21,41,27,37,23,43,25,39) (22,42,28,38,24,44,26,40) |