Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_{14}$ |
| Group identifier: | $[14,2]$ |
| Signature: | $[ 0; 2, 2, 2, 7, 14 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 2, 3, 14$ |
| Jacobian variety group algebra decomposition: | $E\times A_{9}$ |
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: |
| $y^2=x^{21}+a_{1}x^{14}+a_{2}x^{7}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.14-2.0.2-2-2-7-14.1.1
| (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) | |
| (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) | |
| (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) | |
| (1,2,3,4,5,6,7) (8,9,10,11,12,13,14) | |
| (1,14,6,12,4,10,2,8,7,13,5,11,3,9) |