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: | $4, 15, 22$ |
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.
13.64-30.0.2-16-16.1.1
| (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) | |
| (1,33,5,37,3,35,7,39,2,34,6,38,4,36,8,40) (9,42,13,46,11,44,15,48,10,41,14,45,12,43,16,47) (17,57,21,61,19,59,23,63,18,58,22,62,20,60,24,64) (25,50,29,54,27,52,31,56,26,49,30,53,28,51,32,55) | |
| (1,55,15,60,4,53,13,58,2,56,16,59,3,54,14,57) (5,49,10,63,8,52,11,61,6,50,9,64,7,51,12,62) (17,47,31,36,20,45,29,34,18,48,32,35,19,46,30,33) (21,41,26,39,24,44,27,37,22,42,25,40,23,43,28,38) |