Family Information
Genus: | $10$ |
Quotient genus: | $0$ |
Group name: | $C_{14}$ |
Group identifier: | $[14,2]$ |
Signature: | $[ 0; 2, 2, 2, 7, 14 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 7, 12$ |
Jacobian variety group algebra decomposition: | $E\times A_{9}$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x^{21}+a_{1}x^{14}+a_{2}x^{7}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.14-2.0.2-2-2-7-14.5.1
(1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) | |
(1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) | |
(1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) | |
(1,6,4,2,7,5,3) (8,13,11,9,14,12,10) | |
(1,10,5,14,2,11,6,8,3,12,7,9,4,13) |