Family Information
Genus: | $12$ |
Quotient genus: | $0$ |
Group name: | $C_{16}$ |
Group identifier: | $[16,1]$ |
Signature: | $[ 0; 2, 2, 2, 16, 16 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 9, 12$ |
Jacobian variety group algebra decomposition: | $A_{12}$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x(x^{24}+a_{1}x^{16}+a_{2}x^{8}+1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.16-1.0.2-2-2-16-16.1.1
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) | |
(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16) | |
(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10) |