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: | $15, 20, 21$ |
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): | $8, 10, 14, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.23.1
| (1,35,5,39) (2,36,6,40) (3,33,7,37) (4,34,8,38) (9,44,13,48) (10,43,14,47) (11,42,15,46) (12,41,16,45) (17,59,21,63) (18,60,22,64) (19,57,23,61) (20,58,24,62) (25,51,29,55) (26,52,30,56) (27,49,31,53) (28,50,32,54) | |
| (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) | |
| (1,25,4,28,2,26,3,27) (5,29,8,32,6,30,7,31) (9,18,12,19,10,17,11,20) (13,22,16,23,14,21,15,24) (33,57,36,60,34,58,35,59) (37,61,40,64,38,62,39,63) (41,50,44,51,42,49,43,52) (45,54,48,55,46,53,47,56) |