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: | $16, 18, 26$ |
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): | $5, 9, 14, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.27.1
| (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) | |
| (1,64,15,50) (2,63,16,49) (3,62,14,51) (4,61,13,52) (5,60,11,54) (6,59,12,53) (7,58,10,55) (8,57,9,56) (17,38,31,44) (18,37,32,43) (19,39,30,42) (20,40,29,41) (21,34,27,48) (22,33,28,47) (23,35,26,46) (24,36,25,45) | |
| (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) |