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: | $2, 7, 10, 23$ |
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.
10.27-5.0.3-3-3-3.28.1
| (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) | |
| (1,10,19) (2,11,20) (3,12,21) (4,13,22) (5,14,23) (6,15,24) (7,16,25) (8,17,26) (9,18,27) | |
| (1,22,16) (2,23,17) (3,24,18) (4,25,10) (5,26,11) (6,27,12) (7,19,13) (8,20,14) (9,21,15) |