Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_4$ |
| Group identifier: | $[12,1]$ |
| Signature: | $[ 0; 2, 4, 4, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $2, 4, 4, 4, 5$ |
| Jacobian variety group algebra decomposition: | $E\times A_{3}\times A_{6}$ |
| Corresponding character(s): | $2, 3, 5$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
10.12-1.0.2-4-4-4-4.1.1
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,7,4,10) (2,9,5,12) (3,8,6,11) | |
| (1,7,4,10) (2,9,5,12) (3,8,6,11) | |
| (1,9,4,12) (2,8,5,11) (3,7,6,10) | |
| (1,12,4,9) (2,11,5,8) (3,10,6,7) |
10.12-1.0.2-4-4-4-4.1.2
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,7,4,10) (2,9,5,12) (3,8,6,11) | |
| (1,9,4,12) (2,8,5,11) (3,7,6,10) | |
| (1,7,4,10) (2,9,5,12) (3,8,6,11) | |
| (1,11,4,8) (2,10,5,7) (3,12,6,9) |
10.12-1.0.2-4-4-4-4.1.3
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,7,4,10) (2,9,5,12) (3,8,6,11) | |
| (1,9,4,12) (2,8,5,11) (3,7,6,10) | |
| (1,9,4,12) (2,8,5,11) (3,7,6,10) | |
| (1,10,4,7) (2,12,5,9) (3,11,6,8) |
10.12-1.0.2-4-4-4-4.1.4
| (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) | |
| (1,7,4,10) (2,9,5,12) (3,8,6,11) | |
| (1,9,4,12) (2,8,5,11) (3,7,6,10) | |
| (1,8,4,11) (2,7,5,10) (3,9,6,12) | |
| (1,12,4,9) (2,11,5,8) (3,10,6,7) |