Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times \SL(2,3)$ |
| Group identifier: | $[72,25]$ |
| Signature: | $[ 0; 3, 3, 6 ]$ |
| Conjugacy classes for this refined passport: | $7, 9, 14$ |
The full automorphism group for this family is $\SL(2,3):S_3$ with signature $[ 0; 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times E^{2}\times E^{2}$ |
| Corresponding character(s): | $2, 10, 11, 15$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.72-25.0.3-3-6.5.1
| (1,33,65) (2,34,66) (3,39,69) (4,40,70) (5,35,71) (6,36,72) (7,37,67) (8,38,68) (9,41,49) (10,42,50) (11,47,53) (12,48,54) (13,43,55) (14,44,56) (15,45,51) (16,46,52) (17,25,57) (18,26,58) (19,31,61) (20,32,62) (21,27,63) (22,28,64) (23,29,59) (24,30,60) | |
| (1,45,64) (2,46,63) (3,43,59) (4,44,60) (5,48,57) (6,47,58) (7,42,62) (8,41,61) (9,29,72) (10,30,71) (11,27,67) (12,28,68) (13,32,65) (14,31,66) (15,26,70) (16,25,69) (17,37,56) (18,38,55) (19,35,51) (20,36,52) (21,40,49) (22,39,50) (23,34,54) (24,33,53) | |
| (1,28,54,2,27,53) (3,29,49,4,30,50) (5,25,52,6,26,51) (7,32,55,8,31,56) (9,36,62,10,35,61) (11,37,57,12,38,58) (13,33,60,14,34,59) (15,40,63,16,39,64) (17,44,70,18,43,69) (19,45,65,20,46,66) (21,41,68,22,42,67) (23,48,71,24,47,72) |