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: | $3, 16, 18$ |
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): | $5, 13, 14, 17, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.72-21.0.2-12-12.2.1
| (1,55) (2,57) (3,56) (4,61) (5,63) (6,62) (7,58) (8,60) (9,59) (10,64) (11,66) (12,65) (13,70) (14,72) (15,71) (16,67) (17,69) (18,68) (19,46) (20,48) (21,47) (22,52) (23,54) (24,53) (25,49) (26,51) (27,50) (28,37) (29,39) (30,38) (31,43) (32,45) (33,44) (34,40) (35,42) (36,41) | |
| (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) | |
| (1,50,16,38,4,53,10,41,7,47,13,44) (2,49,17,37,5,52,11,40,8,46,14,43) (3,51,18,39,6,54,12,42,9,48,15,45) (19,68,34,56,22,71,28,59,25,65,31,62) (20,67,35,55,23,70,29,58,26,64,32,61) (21,69,36,57,24,72,30,60,27,66,33,63) |