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: | $13, 20, 22$ |
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.
13.64-21.0.4-4-8.7.1
| (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) | |
| (1,62,15,51) (2,61,16,52) (3,63,14,49) (4,64,13,50) (5,58,11,55) (6,57,12,56) (7,59,10,53) (8,60,9,54) (17,39,31,42) (18,40,32,41) (19,37,30,43) (20,38,29,44) (21,35,27,46) (22,36,28,45) (23,33,26,47) (24,34,25,48) | |
| (1,28,3,25,2,27,4,26) (5,32,7,29,6,31,8,30) (9,19,11,18,10,20,12,17) (13,23,15,22,14,24,16,21) (33,60,35,57,34,59,36,58) (37,64,39,61,38,63,40,62) (41,51,43,50,42,52,44,49) (45,55,47,54,46,56,48,53) |