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: | $14, 18, 27$ |
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.
13.64-21.0.4-4-8.12.1
| (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) | |
| (1,64,15,50) (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) | |
| (1,30,4,31,2,29,3,32) (5,26,8,27,6,25,7,28) (9,21,12,24,10,22,11,23) (13,17,16,20,14,18,15,19) (33,62,36,63,34,61,35,64) (37,58,40,59,38,57,39,60) (41,53,44,56,42,54,43,55) (45,49,48,52,46,50,47,51) |