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: | $4, 14, 15$ |
| 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.
6.18-2.0.3-18-18.5.1
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) | |
| (1,17,4,12,7,15,2,18,5,10,8,13,3,16,6,11,9,14) | |
| (1,15,8,11,4,18,3,14,7,10,6,17,2,13,9,12,5,16) |