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: | $16, 18, 28$ |
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): | $5, 9, 14, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.28.1
| (1,39,5,35) (2,40,6,36) (3,37,7,33) (4,38,8,34) (9,48,13,44) (10,47,14,43) (11,46,15,42) (12,45,16,41) (17,63,21,59) (18,64,22,60) (19,61,23,57) (20,62,24,58) (25,55,29,51) (26,56,30,52) (27,53,31,49) (28,54,32,50) | |
| (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) | |
| (1,31,3,30,2,32,4,29) (5,27,7,26,6,28,8,25) (9,24,11,21,10,23,12,22) (13,20,15,17,14,19,16,18) (33,63,35,62,34,64,36,61) (37,59,39,58,38,60,40,57) (41,56,43,53,42,55,44,54) (45,52,47,49,46,51,48,50) |