Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3^3$ |
| Group identifier: | $[27,5]$ |
| Signature: | $[ 0; 3, 3, 3, 3 ]$ |
| Conjugacy classes for this refined passport: | $2, 7, 15, 20$ |
The full automorphism group for this family is $C_3:S_3^2$ with signature $[ 0; 2, 2, 2, 3 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E\times E\times A_{2}\times A_{2}\times A_{2}$ |
| Corresponding character(s): | $5, 11, 13, 14, 15, 17, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.27-5.0.3-3-3-3.33.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27) | |
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) (19,27,23) (20,25,24) (21,26,22) | |
| (1,20,12) (2,21,10) (3,19,11) (4,23,15) (5,24,13) (6,22,14) (7,26,18) (8,27,16) (9,25,17) | |
| (1,15,26) (2,13,27) (3,14,25) (4,18,20) (5,16,21) (6,17,19) (7,12,23) (8,10,24) (9,11,22) |