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: | $15, 19, 28$ |
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): | $8, 9, 14, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.22.1
| (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) | |
| (1,51,15,62) (2,52,16,61) (3,49,14,63) (4,50,13,64) (5,55,11,58) (6,56,12,57) (7,53,10,59) (8,54,9,60) (17,42,31,39) (18,41,32,40) (19,43,30,37) (20,44,29,38) (21,46,27,35) (22,45,28,36) (23,47,26,33) (24,48,25,34) | |
| (1,24,4,22,2,23,3,21) (5,20,8,18,6,19,7,17) (9,32,12,30,10,31,11,29) (13,28,16,26,14,27,15,25) (33,56,36,54,34,55,35,53) (37,52,40,50,38,51,39,49) (41,64,44,62,42,63,43,61) (45,60,48,58,46,59,47,57) |