Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $\He_3$ |
| Group identifier: | $[27,3]$ |
| Signature: | $[ 0; 3, 3, 3, 3 ]$ |
| Conjugacy classes for this refined passport: | $6, 7, 8, 9$ |
The full automorphism group for this family is $C_3^2:D_6$ with signature $[ 0; 2, 2, 2, 3 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}^{3}$ |
| Corresponding character(s): | $2, 3, 10$ |
Generating vector(s)
Displaying 3 of 3 generating vectors for this refined passport.
10.27-3.0.3-3-3-3.39.1
| (1,10,19) (2,11,20) (3,12,21) (4,14,24) (5,15,22) (6,13,23) (7,18,26) (8,16,27) (9,17,25) | |
| (1,19,10) (2,20,11) (3,21,12) (4,24,14) (5,22,15) (6,23,13) (7,26,18) (8,27,16) (9,25,17) | |
| (1,13,26) (2,14,27) (3,15,25) (4,17,19) (5,18,20) (6,16,21) (7,12,24) (8,10,22) (9,11,23) | |
| (1,26,13) (2,27,14) (3,25,15) (4,19,17) (5,20,18) (6,21,16) (7,24,12) (8,22,10) (9,23,11) |
10.27-3.0.3-3-3-3.39.2
| (1,10,19) (2,11,20) (3,12,21) (4,14,24) (5,15,22) (6,13,23) (7,18,26) (8,16,27) (9,17,25) | |
| (1,20,12) (2,21,10) (3,19,11) (4,22,13) (5,23,14) (6,24,15) (7,27,17) (8,25,18) (9,26,16) | |
| (1,13,26) (2,14,27) (3,15,25) (4,17,19) (5,18,20) (6,16,21) (7,12,24) (8,10,22) (9,11,23) | |
| (1,25,14) (2,26,15) (3,27,13) (4,21,18) (5,19,16) (6,20,17) (7,23,10) (8,24,11) (9,22,12) |
10.27-3.0.3-3-3-3.39.3
| (1,10,19) (2,11,20) (3,12,21) (4,14,24) (5,15,22) (6,13,23) (7,18,26) (8,16,27) (9,17,25) | |
| (1,21,11) (2,19,12) (3,20,10) (4,23,15) (5,24,13) (6,22,14) (7,25,16) (8,26,17) (9,27,18) | |
| (1,13,26) (2,14,27) (3,15,25) (4,17,19) (5,18,20) (6,16,21) (7,12,24) (8,10,22) (9,11,23) | |
| (1,27,15) (2,25,13) (3,26,14) (4,20,16) (5,21,17) (6,19,18) (7,22,11) (8,23,12) (9,24,10) |