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: | $13, 19, 27$ |
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): | $6, 8, 9, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.6.1
| (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) | |
| (1,51,15,62) (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) | |
| (1,22,3,24,2,21,4,23) (5,18,7,20,6,17,8,19) (9,30,11,32,10,29,12,31) (13,26,15,28,14,25,16,27) (33,54,35,56,34,53,36,55) (37,50,39,52,38,49,40,51) (41,62,43,64,42,61,44,63) (45,58,47,60,46,57,48,59) |