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: | $14, 18, 25$ |
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.
13.64-21.0.4-4-8.11.1
| (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) | |
| (1,63,15,49) (2,64,16,50) (3,61,14,52) (4,62,13,51) (5,59,11,53) (6,60,12,54) (7,57,10,56) (8,58,9,55) (17,37,31,43) (18,38,32,44) (19,40,30,41) (20,39,29,42) (21,33,27,47) (22,34,28,48) (23,36,26,45) (24,35,25,46) | |
| (1,29,4,32,2,30,3,31) (5,25,8,28,6,26,7,27) (9,22,12,23,10,21,11,24) (13,18,16,19,14,17,15,20) (33,61,36,64,34,62,35,63) (37,57,40,60,38,58,39,59) (41,54,44,55,42,53,43,56) (45,50,48,51,46,49,47,52) |