Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $\OD_{32}:C_2$ |
| Group identifier: | $[64,30]$ |
| Signature: | $[ 0; 2, 16, 16 ]$ |
| Conjugacy classes for this refined passport: | $4, 18, 19$ |
The full automorphism group for this family is $C_2^3.D_8$ with signature $[ 0; 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times E^{2}\times A_{2}^{4}$ |
| Corresponding character(s): | $7, 13, 19, 21$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-30.0.2-16-16.4.1
| (1,17) (2,18) (3,19) (4,20) (5,22) (6,21) (7,24) (8,23) (9,25) (10,26) (11,27) (12,28) (13,30) (14,29) (15,32) (16,31) (33,49) (34,50) (35,51) (36,52) (37,54) (38,53) (39,56) (40,55) (41,57) (42,58) (43,59) (44,60) (45,62) (46,61) (47,64) (48,63) | |
| (1,39,8,35,4,37,6,33,2,40,7,36,3,38,5,34) (9,48,16,44,12,46,14,42,10,47,15,43,11,45,13,41) (17,63,24,59,20,61,22,57,18,64,23,60,19,62,21,58) (25,56,32,52,28,54,30,50,26,55,31,51,27,53,29,49) | |
| (1,50,13,62,3,52,15,64,2,49,14,61,4,51,16,63) (5,53,11,59,7,55,10,58,6,54,12,60,8,56,9,57) (17,42,29,38,19,44,31,40,18,41,30,37,20,43,32,39) (21,45,27,35,23,47,26,34,22,46,28,36,24,48,25,33) |