Family Information
Genus: | $15$ |
Quotient genus: | $0$ |
Group name: | $C_{10}$ |
Group identifier: | $[10,2]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2, 2, 10, 10 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 2, 2, 2, 7, 10$ |
Jacobian variety group algebra decomposition: | $A_{3}\times A_{12}$ |
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: |
$y^2=x(x^{30}+a_{1}x^{25}+a_{2}x^{20}+a_{3}x^{15}+a_{4}x^{10}+a_{5}x^{5}+1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.10-2.0.2-2-2-2-2-2-10-10.1.1
(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) | |
(1,7,3,9,5,6,2,8,4,10) | |
(1,10,4,8,2,6,5,9,3,7) |