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: | $4, 17, 20$ |
The full automorphism group for this family is $C_2^3.D_8$ with signature $[ 0; 2, 4, 16 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times E^{2}\times A_{2}^{4}$ |
| Corresponding character(s): | $7, 13, 19, 21$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.64-30.0.2-16-16.3.1
| (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) | |
| (1,35,6,40,3,34,8,37,2,36,5,39,4,33,7,38) (9,44,14,47,11,41,16,46,10,43,13,48,12,42,15,45) (17,59,22,64,19,58,24,61,18,60,21,63,20,57,23,62) (25,52,30,55,27,49,32,54,26,51,29,56,28,50,31,53) | |
| (1,53,16,57,4,56,14,60,2,54,15,58,3,55,13,59) (5,52,9,62,8,50,12,63,6,51,10,61,7,49,11,64) (17,45,32,33,20,48,30,36,18,46,31,34,19,47,29,35) (21,44,25,38,24,42,28,39,22,43,26,37,23,41,27,40) |