Family Information
Genus: | $8$ |
Quotient genus: | $0$ |
Group name: | $C_6$ |
Group identifier: | $[6,2]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2, 2, 3, 3 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 2, 2, 2, 3, 4$ |
Jacobian variety group algebra decomposition: | $A_{2}\times A_{6}$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,4) (2,5) (3,6) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x^{18}+a_{1}x^{15}+a_{2}x^{12}+a_{3}x^{9}+a_{4}x^{6}+a_{5}x^{3}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.6-2.0.2-2-2-2-2-2-3-3.1.1
(1,4) (2,5) (3,6) | |
(1,4) (2,5) (3,6) | |
(1,4) (2,5) (3,6) | |
(1,4) (2,5) (3,6) | |
(1,4) (2,5) (3,6) | |
(1,4) (2,5) (3,6) | |
(1,2,3) (4,5,6) | |
(1,3,2) (4,6,5) |