Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $S_3\times C_3^2$ |
| Group identifier: | $[54,12]$ |
| Signature: | $[ 0; 3, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $12, 23, 26$ |
The full automorphism group for this family is $S_3^2:S_3$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times E\times A_{2}^{2}\times E^{2}$ |
| Corresponding character(s): | $4, 5, 7, 8, 20, 25$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.54-12.0.3-6-6.2.1
| (1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) (19,23,27) (20,24,25) (21,22,26) (28,32,36) (29,33,34) (30,31,35) (37,41,45) (38,42,43) (39,40,44) (46,50,54) (47,51,52) (48,49,53) | |
| (1,46,10,28,19,37) (2,48,11,30,20,39) (3,47,12,29,21,38) (4,49,13,31,22,40) (5,51,14,33,23,42) (6,50,15,32,24,41) (7,52,16,34,25,43) (8,54,17,36,26,45) (9,53,18,35,27,44) | |
| (1,45,22,30,16,51) (2,44,23,29,17,50) (3,43,24,28,18,49) (4,39,25,33,10,54) (5,38,26,32,11,53) (6,37,27,31,12,52) (7,42,19,36,13,48) (8,41,20,35,14,47) (9,40,21,34,15,46) |