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: | $13, 17, 28$ |
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): | $5, 6, 9, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.2.1
| (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) | |
| (1,49,15,63) (2,50,16,64) (3,52,14,61) (4,51,13,62) (5,53,11,59) (6,54,12,60) (7,56,10,57) (8,55,9,58) (17,43,31,37) (18,44,32,38) (19,41,30,40) (20,42,29,39) (21,47,27,33) (22,48,28,34) (23,45,26,36) (24,46,25,35) | |
| (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) |