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: | $14, 20, 26$ |
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.
13.64-21.0.4-4-8.15.1
| (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) | |
| (1,62,15,51) (2,61,16,52) (3,63,14,49) (4,64,13,50) (5,58,11,55) (6,57,12,56) (7,59,10,53) (8,60,9,54) (17,39,31,42) (18,40,32,41) (19,37,30,43) (20,38,29,44) (21,35,27,46) (22,36,28,45) (23,33,26,47) (24,34,25,48) | |
| (1,32,3,29,2,31,4,30) (5,28,7,25,6,27,8,26) (9,23,11,22,10,24,12,21) (13,19,15,18,14,20,16,17) (33,64,35,61,34,63,36,62) (37,60,39,57,38,59,40,58) (41,55,43,54,42,56,44,53) (45,51,47,50,46,52,48,49) |