Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_{18}$ |
| Group identifier: | $[18,2]$ |
| Signature: | $[ 0; 3, 18, 18 ]$ |
| Conjugacy classes for this refined passport: | $4, 17, 18$ |
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.18-2.0.3-18-18.6.1
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) | |
| (1,14,9,11,6,16,3,13,8,10,5,18,2,15,7,12,4,17) | |
| (1,18,6,12,8,14,2,16,4,10,9,15,3,17,5,11,7,13) |