Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_{14}$ |
| Group identifier: | $[14,2]$ |
| Signature: | $[ 0; 2, 7, 14 ]$ |
| Conjugacy classes for this refined passport: | $2, 7, 12$ |
| Jacobian variety group algebra decomposition: | $A_{3}$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x^{7}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.14-2.0.2-7-14.5.1
| (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) | |
| (1,6,4,2,7,5,3) (8,13,11,9,14,12,10) | |
| (1,10,5,14,2,11,6,8,3,12,7,9,4,13) |