Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_9$ |
| Group identifier: | $[9,1]$ |
| Signature: | $[ 0; 3, 9, 9 ]$ |
| Conjugacy classes for this refined passport: | $2, 4, 7$ |
| Jacobian variety group algebra decomposition: | $A_{3}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) |
| Equation(s) of curve(s) in this refined passport: |
| $y^3 = x (x^3-1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.9-1.0.3-9-9.1.1
| (1,2,3) (4,5,6) (7,8,9) | |
| (1,4,7,2,5,8,3,6,9) | |
| (1,8,4,3,7,6,2,9,5) |