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: | $6, 10, 17$ |
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.
7.72-25.0.3-3-6.4.1
| (1,49,25) (2,50,26) (3,53,31) (4,54,32) (5,55,27) (6,56,28) (7,51,29) (8,52,30) (9,57,33) (10,58,34) (11,61,39) (12,62,40) (13,63,35) (14,64,36) (15,59,37) (16,60,38) (17,65,41) (18,66,42) (19,69,47) (20,70,48) (21,71,43) (22,72,44) (23,67,45) (24,68,46) | |
| (1,64,45) (2,63,46) (3,59,43) (4,60,44) (5,57,48) (6,58,47) (7,62,42) (8,61,41) (9,72,29) (10,71,30) (11,67,27) (12,68,28) (13,65,32) (14,66,31) (15,70,26) (16,69,25) (17,56,37) (18,55,38) (19,51,35) (20,52,36) (21,49,40) (22,50,39) (23,54,34) (24,53,33) | |
| (1,67,39,2,68,40) (3,71,34,4,72,33) (5,70,37,6,69,38) (7,66,36,8,65,35) (9,51,47,10,52,48) (11,55,42,12,56,41) (13,54,45,14,53,46) (15,50,44,16,49,43) (17,59,31,18,60,32) (19,63,26,20,64,25) (21,62,29,22,61,30) (23,58,28,24,57,27) |