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: | $14, 17, 24$ |
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): | $5, 6, 10, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.10.1
| (1,37,5,33) (2,38,6,34) (3,40,7,36) (4,39,8,35) (9,46,13,42) (10,45,14,41) (11,47,15,43) (12,48,16,44) (17,61,21,57) (18,62,22,58) (19,64,23,60) (20,63,24,59) (25,53,29,49) (26,54,30,50) (27,56,31,52) (28,55,32,51) | |
| (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) | |
| (1,20,4,18,2,19,3,17) (5,24,8,22,6,23,7,21) (9,28,12,26,10,27,11,25) (13,32,16,30,14,31,15,29) (33,52,36,50,34,51,35,49) (37,56,40,54,38,55,39,53) (41,60,44,58,42,59,43,57) (45,64,48,62,46,63,47,61) |