Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times S_3$ |
| Group identifier: | $[18,3]$ |
| Signature: | $[ 0; 2, 3, 3, 3, 6 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 3, 7, 9$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{3}\times A_{4}^{2}$ |
| Corresponding character(s): | $3, 4, 8$ |
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.
13.18-3.0.2-3-3-3-6.2.1
| (1,10) (2,12) (3,11) (4,13) (5,15) (6,14) (7,16) (8,18) (9,17) | |
| (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) | |
| (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) | |
| (1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) | |
| (1,18,4,12,7,15) (2,17,5,11,8,14) (3,16,6,10,9,13) |