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: | $2, 5, 11, 20$ |
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.
10.27-5.0.3-3-3-3.11.1
| (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) | |
| (1,7,4) (2,8,5) (3,9,6) (10,16,13) (11,17,14) (12,18,15) (19,25,22) (20,26,23) (21,27,24) | |
| (1,19,10) (2,20,11) (3,21,12) (4,22,13) (5,23,14) (6,24,15) (7,25,16) (8,26,17) (9,27,18) | |
| (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) |