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: | $16, 17, 21$ |
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): | $5, 10, 14, 17, 22, 23, 27$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-21.0.4-4-8.25.1
| (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) | |
| (1,49,15,63) (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) | |
| (1,17,3,19,2,18,4,20) (5,21,7,23,6,22,8,24) (9,25,11,27,10,26,12,28) (13,29,15,31,14,30,16,32) (33,49,35,51,34,50,36,52) (37,53,39,55,38,54,40,56) (41,57,43,59,42,58,44,60) (45,61,47,63,46,62,48,64) |