Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_{10}$ |
| Group identifier: | $[10,2]$ |
| Signature: | $[ 0; 2, 2, 2, 2, 2, 2, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 2, 2, 2, 2, 3, 6$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times A_{12}$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,6) (2,7) (3,8) (4,9) (5,10) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x^{30}+a_{1}x^{25}+a_{2}x^{20}+a_{3}x^{15}+a_{4}x^{10}+a_{5}x^{5}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.10-2.0.2-2-2-2-2-2-5-5.1.1
| (1,6) (2,7) (3,8) (4,9) (5,10) | |
| (1,6) (2,7) (3,8) (4,9) (5,10) | |
| (1,6) (2,7) (3,8) (4,9) (5,10) | |
| (1,6) (2,7) (3,8) (4,9) (5,10) | |
| (1,6) (2,7) (3,8) (4,9) (5,10) | |
| (1,6) (2,7) (3,8) (4,9) (5,10) | |
| (1,2,3,4,5) (6,7,8,9,10) | |
| (1,5,4,3,2) (6,10,9,8,7) |