Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_6.D_6$ |
| Group identifier: | $[72,21]$ |
| Signature: | $[ 0; 2, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $4, 16, 17$ |
The full automorphism group for this family is $S_3^2:C_4$ with signature $[ 0; 2, 4, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}\times E^{4}\times E^{4}$ |
| Corresponding character(s): | $6, 13, 14, 17, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.72-21.0.2-12-12.4.1
| (1,64) (2,66) (3,65) (4,70) (5,72) (6,71) (7,67) (8,69) (9,68) (10,55) (11,57) (12,56) (13,61) (14,63) (15,62) (16,58) (17,60) (18,59) (19,37) (20,39) (21,38) (22,43) (23,45) (24,44) (25,40) (26,42) (27,41) (28,46) (29,48) (30,47) (31,52) (32,54) (33,53) (34,49) (35,51) (36,50) | |
| (1,35,12,25,2,36,10,26,3,34,11,27) (4,32,15,22,5,33,13,23,6,31,14,24) (7,29,18,19,8,30,16,20,9,28,17,21) (37,71,48,61,38,72,46,62,39,70,47,63) (40,68,51,58,41,69,49,59,42,67,50,60) (43,65,54,55,44,66,52,56,45,64,53,57) | |
| (1,41,16,47,4,44,10,50,7,38,13,53) (2,40,17,46,5,43,11,49,8,37,14,52) (3,42,18,48,6,45,12,51,9,39,15,54) (19,59,34,65,22,62,28,68,25,56,31,71) (20,58,35,64,23,61,29,67,26,55,32,70) (21,60,36,66,24,63,30,69,27,57,33,72) |