Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_4$ |
| Group identifier: | $[12,1]$ |
| Signature: | $[ 0; 3, 4, 4, 6 ]$ |
| Conjugacy classes for this refined passport: | $3, 5, 5, 6$ |
| Jacobian variety group algebra decomposition: | $E\times A_{4}\times E^{2}$ |
| Corresponding character(s): | $3, 5, 6$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
7.12-1.0.3-4-4-6.2.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) | |
| (1,10,4,7) (2,12,5,9) (3,11,6,8) | |
| (1,10,4,7) (2,12,5,9) (3,11,6,8) | |
| (1,6,2,4,3,5) (7,12,8,10,9,11) |
7.12-1.0.3-4-4-6.2.2
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) | |
| (1,10,4,7) (2,12,5,9) (3,11,6,8) | |
| (1,11,4,8) (2,10,5,7) (3,12,6,9) | |
| (1,5,3,4,2,6) (7,11,9,10,8,12) |
Displaying the unique representative of this refined passport up to braid equivalence.
7.12-1.0.3-4-4-6.2.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) | |
| (1,10,4,7) (2,12,5,9) (3,11,6,8) | |
| (1,10,4,7) (2,12,5,9) (3,11,6,8) | |
| (1,6,2,4,3,5) (7,12,8,10,9,11) |