Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_4.C_4^2$ |
| Group identifier: | $[64,21]$ |
| Signature: | $[ 0; 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $13, 20, 24$ |
The full automorphism group for this family is $C_2^2.D_{16}$ with signature $[ 0; 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times A_{4}\times E^{2}\times E^{2}$ |
| Corresponding character(s): | $6, 8, 10, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.8.1
| (1,33,5,37) (2,34,6,38) (3,36,7,40) (4,35,8,39) (9,42,13,46) (10,41,14,45) (11,43,15,47) (12,44,16,48) (17,57,21,61) (18,58,22,62) (19,60,23,64) (20,59,24,63) (25,49,29,53) (26,50,30,54) (27,52,31,56) (28,51,32,55) | |
| (1,61,15,52) (2,62,16,51) (3,64,14,50) (4,63,13,49) (5,57,11,56) (6,58,12,55) (7,60,10,54) (8,59,9,53) (17,40,31,41) (18,39,32,42) (19,38,30,44) (20,37,29,43) (21,36,27,45) (22,35,28,46) (23,34,26,48) (24,33,25,47) | |
| (1,27,3,26,2,28,4,25) (5,31,7,30,6,32,8,29) (9,20,11,17,10,19,12,18) (13,24,15,21,14,23,16,22) (33,59,35,58,34,60,36,57) (37,63,39,62,38,64,40,61) (41,52,43,49,42,51,44,50) (45,56,47,53,46,55,48,54) |