Family Information
Genus: | $2$ |
Quotient genus: | $0$ |
Group name: | $C_{10}$ |
Group identifier: | $[10,2]$ |
Signature: | $[ 0; 2, 5, 10 ]$ |
Conjugacy classes for this refined passport: | $2, 6, 7$ |
Jacobian variety group algebra decomposition: | $A_{2}$ |
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: |
$y^2=x^{5}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
2.10-2.0.2-5-10.4.1
(1,6) (2,7) (3,8) (4,9) (5,10) | |
(1,5,4,3,2) (6,10,9,8,7) | |
(1,7,3,9,5,6,2,8,4,10) |