Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_4^2:C_4$ |
| Group identifier: | $[64,18]$ |
| Signature: | $[ 0; 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $11, 15, 20$ |
The full automorphism group for this family is $C_2^3.D_8$ with signature $[ 0; 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times A_{2}\times A_{2}^{4}$ |
| Corresponding character(s): | $8, 9, 12, 18, 21$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-18.0.4-4-8.1.1
| (1,17,3,19) (2,18,4,20) (5,22,7,24) (6,21,8,23) (9,25,11,27) (10,26,12,28) (13,30,15,32) (14,29,16,31) (33,49,35,51) (34,50,36,52) (37,54,39,56) (38,53,40,55) (41,57,43,59) (42,58,44,60) (45,62,47,64) (46,61,48,63) | |
| (1,33,5,37) (2,34,6,38) (3,36,7,40) (4,35,8,39) (9,41,13,45) (10,42,14,46) (11,44,15,48) (12,43,16,47) (17,57,21,61) (18,58,22,62) (19,60,23,64) (20,59,24,63) (25,50,29,54) (26,49,30,53) (27,51,31,55) (28,52,32,56) | |
| (1,56,15,58,2,55,16,57) (3,53,13,59,4,54,14,60) (5,51,11,61,6,52,12,62) (7,50,9,64,8,49,10,63) (17,46,31,35,18,45,32,36) (19,47,29,34,20,48,30,33) (21,41,27,40,22,42,28,39) (23,44,25,37,24,43,26,38) |