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: | $3, 13, 14$ |
| 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.
6.18-2.0.3-18-18.1.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) | |
| (1,13,7,11,5,17,3,15,9,10,4,16,2,14,8,12,6,18) | |
| (1,17,4,12,7,15,2,18,5,10,8,13,3,16,6,11,9,14) |