Family Information
Genus: | $4$ |
Quotient genus: | $0$ |
Group name: | $C_{18}$ |
Group identifier: | $[18,2]$ |
Signature: | $[ 0; 2, 9, 18 ]$ |
Conjugacy classes for this refined passport: | $2, 8, 15$ |
Jacobian variety group algebra decomposition: | $A_{3}\times E$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,10) (2,11) (3,12) (4,13) (5,14) (6,15) (7,16) (8,17) (9,18) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x^{9}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.18-2.0.2-9-18.2.1
(1,10) (2,11) (3,12) (4,13) (5,14) (6,15) (7,16) (8,17) (9,18) | |
(1,7,5,3,9,4,2,8,6) (10,16,14,12,18,13,11,17,15) | |
(1,15,8,11,4,18,3,14,7,10,6,17,2,13,9,12,5,16) |