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: | $18, 20, 23$ |
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.
10.54-12.0.3-6-6.19.1
| (1,17,24) (2,18,22) (3,16,23) (4,11,27) (5,12,25) (6,10,26) (7,14,21) (8,15,19) (9,13,20) (28,44,51) (29,45,49) (30,43,50) (31,38,54) (32,39,52) (33,37,53) (34,41,48) (35,42,46) (36,40,47) | |
| (1,31,7,28,4,34) (2,33,8,30,5,36) (3,32,9,29,6,35) (10,40,16,37,13,43) (11,42,17,39,14,45) (12,41,18,38,15,44) (19,49,25,46,22,52) (20,51,26,48,23,54) (21,50,27,47,24,53) | |
| (1,48,10,30,19,39) (2,47,11,29,20,38) (3,46,12,28,21,37) (4,51,13,33,22,42) (5,50,14,32,23,41) (6,49,15,31,24,40) (7,54,16,36,25,45) (8,53,17,35,26,44) (9,52,18,34,27,43) |