Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times S_3$ |
| Group identifier: | $[18,3]$ |
| Signature: | $[ 0; 2, 2, 3, 3 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 3, 7$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times E^{2}$ |
| Corresponding character(s): | $3, 8$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.18-3.0.2-2-3-3.1.1
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,12) (2,11) (3,10) (4,15) (5,14) (6,13) (7,18) (8,17) (9,16) | |
| (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) | |
| (1,8,6) (2,9,4) (3,7,5) (10,17,15) (11,18,13) (12,16,14) |